title:
$D \rightarrow a_1, f_1$ transition form factors and semileptonic decays
  via 3-point QCD sum rules

abstract:
  By using the 3-point QCD sum rules, we calculate the transition form factors
of $D$ decays into the spin triplet axial vector mesons $a_1(1260)$, $f_1(1285)
$, $f_1(1420)$. In the calculations, we consider the quark contents of each
meson in detail. In view of the fact that the isospin of $a_1(1260)$ is one, we
calculate the $D^+ \rightarrow a_1^0 (1260)$ and $D^0 \rightarrow a_1^- (1260)$
transition form factors separately. In the case of $ f_1(1285), f_1(1420)$, the
mixing between light flavor $SU(3)$ singlet and octet is taken into account.
Based on the form factors obtained here, we give predictions for the branching
ratios of relevant semileptonic decays, which can be tested in the future
experiments.


title: X-ray variability of GeV gamma-ray emitting radio galaxy NGC 1275

abstract:
  We analyzed Suzaku/XIS data of 2006--2015 observations of a gamma-ray
emitting radio galaxy NGC 1275, and brightening of the nucleus in the X-ray
band was found in 2013--2015, correlating with GeV Gamma-ray brightening. This
is the first evidence of variability with correlation between GeV gamma-ray and
X-ray for NGC 1275. We also analyzed Swift/XRT data of NGC 1275, and found that
X-ray was flaring by a factor of $\sim$5 in several days in 2006, 2010, and
2013. The X-ray spectrum during the flare was featureless and somewhat steeper
with a photon index of $\sim$2 against $\sim$1.7 in the normal state,
indicating that a synchrotron component became brighter. A large Xray to GeV
gamma-ray flux ratio in the flare could be explained by the shock-in-jet
scenario. On the other hand, a long-term gradual brightening of radio, X-ray,
and GeV gamma-ray with a larger gamma-ray amplitude could be origin of other
than internal shocks, and then we discuss some possibilities.


title:
The morphology and kinematics of neutral hydrogen in the vicinity of z=0
  galaxies with Milky Way masses -- a study with the Illustris simulation

abstract:
  We analyze the properties of the circumgalactic gas (CGM) around 120 galaxies
with stellar and dark matter halo masses similar to that of the Milky Way. We
focus on the morphology and kinematics of the neutral hydrogen and how this
depends on f_g, the ratio of gas-to-stellar mass within the optical radius. In
gas-rich galaxies with f_g > 0.1, gas temperatures rise slowly from center of
the halo out to the virial radius and average neutral gas column densities
remain above 10^19 atoms cm^-2 out to radii of 50-70 kpc. In gas-poor galaxies
with f_g < 0.1, gas temperatures rise quickly outside the edge of the disk to
10^6 K, and then remain fixed out to radii of 100 kpc. The column density of
neutral gas quickly drops below 10^19 atoms cm^-2 at radii of 10 kpc. Neutral
gas distributions are also more asymmetric in gas-poor galaxies. Most of the
differences between gas-poor and gas-rich galaxies in the Illustris simulation
can be attributed to the effects of "radio-mode" AGN feedback. In the Illustris
simulation, the circumgalactic gas is found to rotate coherently about the
center of the galaxy with a maximum rotational velocity of around 200 km/s. In
gas-rich galaxies, the average coherence length of the rotating gas is 40 kpc,
compared to 10 kpc in gas-poor galaxies. In the very most gas-rich systems, the
CGM can rotate coherently over scales of 70-100 kpc. We discuss our results in
the context of recent observations of the CGM in low mass galaxies via UV
absorption-line spectroscopy and deep 21cm observations of edge-on spiral
galaxies.


title:
Parametrized higher category theory and higher algebra: A general
  introduction

abstract:
  We introduce the study of parametrized higher category theory and
parametrized higher algebra, and we describe the main theorems of the series of
Expos\'es that make up the monograph.


title:
Modulation of synaptic plasticity by glutamatergic gliotransmission: A
  modeling study

abstract:
  Glutamatergic gliotransmission, that is the release of glutamate from
perisynaptic astrocyte processes in an activity-dependent manner, has emerged
as a potentially crucial signaling pathway for regulation of synaptic
plasticity, yet its modes of expression and function in vivo remain unclear.
Here, we focus on two experimentally well-identified gliotransmitter patwhays:
(i)~modulations of synaptic release and (ii)~postynaptic slow inward currents
mediated by glutamate released from astrocytes, and investigate their possible
functional relevance on synaptic plasticity in a biophysical model of an
astrocyte-regulated synapse. Our model predicts that both pathways could
profoundly affect both short- and long-term plasticity. In particular,
activity-dependent glutamate release from astrocytes, could dramatically change
spike-timing--dependent plasticity, turning potentiation into depression (and
vice versa) for the same protocol.


title:
Higher contagion and weaker ties mean anger spreads faster than joy in
  social media

abstract:
  Increasing evidence suggests that, similar to face-to-face communications,
human emotions also spread in online social media. However, the mechanisms
underlying this emotional contagion, for example, whether different feelings
spread in unlikely ways or how the spread of emotions relates to the social
network, is rarely investigated. Indeed, because of high costs and
spatio-temporal limitations, explorations of this topic are challenging using
conventional questionnaires or controlled experiments. Because they are
collection points for natural affective responses of massive individuals,
online social media sites offer an ideal proxy for tackling this issue from the
perspective of computational social science. In this paper, based on the
analysis of millions of tweets in Weibo, surprisingly, we find that anger is
more contagious than joy, indicating that it can spark more angry follow-up
tweets. Moreover, regarding dissemination in social networks, anger travels
easily along weaker ties than joy, meaning that it can infiltrate different
communities and break free of local traps because strangers share such content
more often. Through a simple diffusion model, we reveal that greater contagion
and weaker ties function cooperatively to speed up anger's spread. The
diffusion of real-world events with different dominant emotions provides
further testimony to the findings. To the best of our knowledge, this is the
first time that quantitative long-term evidence has been presented that reveals
a difference in the mechanism by which joy and anger are disseminated. Our
findings shed light on both personal anger management in human communications
and on controlling collective outrage in cyberspace.


title:
Parametrized higher category theory and higher algebra: Expos\'e I --
  Elements of parametrized higher category theory

abstract:
  We introduce the basic elements of the theory of parametrized
$\infty$-categories and functors between them. These notions are defined as
suitable fibrations of $\infty$-categories and functors between them. We give
as many examples as we are able at this stage. Simple operations, such as the
formation of opposites and the formation of functor $\infty$-categories, become
slightly more involved in the parametrized setting, but we explain precisely
how to perform these constructions. All of these constructions can be performed
explicitly, without resorting to such acts of desperation as straightening. The
key results of this Expos\'e are: (1) a universal characterization of the
$T$-$\infty$-category of $T$-objects in any $\infty$-category, (2) the
existence of an internal Hom for $T$-$\infty$-categories, and (3) a
parametrized Yoneda lemma.


title: Deep Hashing: A Joint Approach for Image Signature Learning

abstract:
  Similarity-based image hashing represents crucial technique for visual data
storage reduction and expedited image search. Conventional hashing schemes
typically feed hand-crafted features into hash functions, which separates the
procedures of feature extraction and hash function learning. In this paper, we
propose a novel algorithm that concurrently performs feature engineering and
non-linear supervised hashing function learning. Our technical contributions in
this paper are two-folds: 1) deep network optimization is often achieved by
gradient propagation, which critically requires a smooth objective function.
The discrete nature of hash codes makes them not amenable for gradient-based
optimization. To address this issue, we propose an exponentiated hashing loss
function and its bilinear smooth approximation. Effective gradient calculation
and propagation are thereby enabled; 2) pre-training is an important trick in
supervised deep learning. The impact of pre-training on the hash code quality
has never been discussed in current deep hashing literature. We propose a
pre-training scheme inspired by recent advance in deep network based image
classification, and experimentally demonstrate its effectiveness. Comprehensive
quantitative evaluations are conducted on several widely-used image benchmarks.
On all benchmarks, our proposed deep hashing algorithm outperforms all
state-of-the-art competitors by significant margins. In particular, our
algorithm achieves a near-perfect 0.99 in terms of Hamming ranking accuracy
with only 12 bits on MNIST, and a new record of 0.74 on the CIFAR10 dataset. In
comparison, the best accuracies obtained on CIFAR10 by existing hashing
algorithms without or with deep networks are known to be 0.36 and 0.58
respectively.


title:
Structure-Preserving Galerkin POD Reduced-Order Modeling of Hamiltonian
  Systems

abstract:
  The proper orthogonal decomposition reduced-order models (POD-ROMs) have been
widely used as a computationally efficient surrogate models in large-scale
numerical simulations of complex systems. However, when it is applied to a
Hamiltonian system, a naive application of the POD method can destroy its
Hamiltonian structure in the reduced-order model. In this paper, we develop a
new reduce-order modeling approach for the Hamiltonian system, which uses the
traditional framework of Galerkin projection-based model reduction but modifies
the ROM so that the appropriate Hamiltonian structure is preserved. Since the
POD truncation can degrade the approximation of the Hamiltonian function, we
propose to use the POD basis from shifted snapshots to improve the Hamiltonian
function approximation. We further derive a rigorous a priori error estimate of
the structure-preserving ROM and demonstrate its effectiveness in several
numerical examples. This approach can be readily extended to dissipative
Hamiltonian systems, port-Hamiltonian systems etc.


title: Galaxy Three-Point Correlation Functions and Halo/Subhalo Models

abstract:
  We present the measurements of the luminosity-dependent redshift-space
three-point correlation functions (3PCFs) for the Sloan Digital Sky Survey
(SDSS) DR7 Main galaxy sample. We compare the 3PCF measurements to the
predictions from three different halo and subhalo models. One is the halo
occupation distribution (HOD) model and the other two are extensions of the
subhalo abundance matching (SHAM) model by allowing the central and satellite
galaxies to have different occupation distributions in the host halos and
subhalos. Parameters in all the models are chosen to best describe the
projected and redshift-space two-point correlation functions (2PCFs) of the
same set of galaxies. All three model predictions agree well with the 3PCF
measurements for the most luminous galaxy sample, while the HOD model better
performs in matching the 3PCFs of fainter samples (with luminosity threshold
below $L^*$), which is similar in trend to the case of fitting the 2PCFs. The
decomposition of the model 3PCFs into contributions from different types of
galaxy triplets shows that on small scales the dependence of the 3PCFs on
triangle shape is driven by nonlinear redshift-space distortion (and not by the
intrinsic halo shape) while on large scales it reflects the filamentary
structure. The decomposition also reveals more detailed differences in the
three models, which are related to the radial distribution, the mean occupation
function, and the velocity distribution of satellite galaxies inside halos. The
results suggest that galaxy 3PCFs can further help constrain the above
galaxy-halo relation and test theoretical models.


title:
Additivity of higher rho invariants and nonrigidity of topological
  manifolds

abstract:
  Let $X$ be a closed oriented connected topological manifold of dimension
$n\geq 5$. The structure group of $X$ is the abelian group of equivalence
classes of all pairs $(f, M)$ such that $M$ is a closed oriented manifold and
$f\colon M \to X$ is an orientation-preserving homotopy equivalence. The main
purpose of this article is to prove that a higher rho invariant defines a group
homomorphism from the topological structure group of $X$ to the $C^*$-algebraic
structure group of $X$. In fact, we introduce a higher rho invariant map on the
homology manifold structure group of a closed oriented connected
$\textit{topological}$ manifold, and prove its additivity. This higher rho
invariant map restricts to the higher rho invariant map on the topological
structure group. More generally, the same techniques developed in this paper
can be applied to define a higher rho invariant map on the homology manifold
structure group of a closed oriented connected $\textit{homology}$ manifold. As
an application, we use the additivity of the higher rho invariant map to study
non-rigidity of topological manifolds. More precisely, we give a lower bound
for the free rank of the $\textit{algebraically reduced}$ structure group of
$X$ by the number of torsion elements in $\pi_1 X$. Here the algebraic reduced
structure group of $X$ is the quotient of the topological structure group of
$X$ modulo a certain action of self-homotopy equivalences of $X$. We also
introduce a notion of homological higher rho invariant, which can be used to
detect many elements in the structure group of a closed oriented topological
manifold, even when the fundamental group of the manifold is torsion free. In
particular, we apply this homological higher rho invariant to show that the
structure group is not finitely generated for a class of manifolds.


title:
Analysis of $\Lambda_{b} \rightarrow$ $\Lambda \mu^{+} \mu^{-}$ decay in
  scalar leptoquark model

abstract:
  We analyze the baryonic semilepton decay $\Lambda_{b} \rightarrow$ $\Lambda
\mu^{+} \mu^{-}$ in the scalar leptoquark models with $X(3,2,7/6)$ and
$X(3,2,1/6)$ states, respectively. We also discuss the effects of this two NP
models on some physical observables. For some measured observables, like the
differential decay width, the longitudinal polarization of the dilepton system,
the lepton-side forward-backward asymmetry and the baryon-side forward-backward
asymmetry, we find, the prediction values of SM are consistent with the current
data in the most $q^{2}$ ranges, where the prediction values of this two NP
models can also keep consistent with the current data with $1\sigma$. However,
in some $q^{2}$ ranges, the prediction values of SM are difficult to meet the
current data, but the contributions of this two NP models can meet them or keep
closer to them. For the double lepton polarization asymmetries, $P_{LT}$,
$P_{TL}$, $P_{NN}$ and $P_{TT}$ are sensitive to the scalar leptoquark model
$X(3,2,7/6)$ but not to $X(3,2,1/6)$. However, $P_{LN}$, $P_{NL}$, $P_{TN}$ and
$P_{NT}$ are not sensitive to this two NP models.


title: An Algorithm to Realize Rate-Splitting in Gaussian Multi-access Channel

abstract:
  Rate Splitting Multiple Access (RSMA) is a code division multi-access
technique which can achieve any base in the multi-access capacity polymatroid
without high coding complexity or synchronization among the transmitting users.
In this paper, a practical algorithm is proposed to compute the splitting
coefficients and the successive decoding order of virtual users in Gaussian
RSMA transmission. Based on the proposed algorithm, a deterministic mapping is
built between the system parameters and the objective rate tuple for RSMA. As a
result, the application of the RSMA technique becomes possible in current
communication systems.


title:
To Prolong the Lifetime of Wireless Sensor Networks: The Min-max Fair
  Scheduling in a Multi-access Contra-Polymatroid

abstract:
  From an information-theoretic point of view, we investigate the min-max power
scheduling problem in multi-access transmission. We prove that the min-max
optimal vector in a contrapolymatroid is the base with the minimal distance to
the equal allocation vector. Because we can realize any base of the
contra-polymatroid by time sharing among the vertices, the problem searching
for the min-max optimal vector is converted to a convex optimization problem
solving the time sharing coefficients. Different from the traditional
algorithms exploiting bottleneck link or waterfilling, the proposed method
simplifies the computation of the min-max optimal vector and directly outputs
the system parameters to realize the min-max fair scheduling. By adopting the
proposed method and applying the acquired min-max optimal scheduling to
multi-access transmission, the network lifetime of the wireless sensor network
is prolonged.


title: Learning Structured Sparsity in Deep Neural Networks

abstract:
  High demand for computation resources severely hinders deployment of
large-scale Deep Neural Networks (DNN) in resource constrained devices. In this
work, we propose a Structured Sparsity Learning (SSL) method to regularize the
structures (i.e., filters, channels, filter shapes, and layer depth) of DNNs.
SSL can: (1) learn a compact structure from a bigger DNN to reduce computation
cost; (2) obtain a hardware-friendly structured sparsity of DNN to efficiently
accelerate the DNNs evaluation. Experimental results show that SSL achieves on
average 5.1x and 3.1x speedups of convolutional layer computation of AlexNet
against CPU and GPU, respectively, with off-the-shelf libraries. These speedups
are about twice speedups of non-structured sparsity; (3) regularize the DNN
structure to improve classification accuracy. The results show that for
CIFAR-10, regularization on layer depth can reduce 20 layers of a Deep Residual
Network (ResNet) to 18 layers while improve the accuracy from 91.25% to 92.60%,
which is still slightly higher than that of original ResNet with 32 layers. For
AlexNet, structure regularization by SSL also reduces the error by around ~1%.
Open source code is in https://github.com/wenwei202/caffe/tree/scnn


title: Power type $\xi$-asymptotically uniformly smooth norms

abstract:
  We extend a precise renorming result of Godefroy, Kalton, and Lancien
regarding asymptotically uniformly smooth norms of separable Banach spaces with
Szlenk index $\omega$. For every ordinal $\xi$, we characterize the operators,
and therefore the Banach spaces, which admit a $\xi$-asymptotically uniformly
smooth norm with power type modulus and compute for those operators the best
possible exponent in terms of the values of $Sz_\xi(\cdot, \varepsilon)$. We
also introduce the $\xi$-Szlenk power type and investigate ideal and
factorization properties of classes associated with the $\xi$-Szlenk power
type.


title: Reasoning and Algorithm Selection Augmented Symbolic Segmentation

abstract:
  In this paper we present an alternative method to symbolic segmentation: we
approach symbolic segmentation as an algorithm selection problem. That is, let
there be a set A of available algorithms for symbolic segmentation, a set of
input features $F$, a set of image attribute $\mathbb{A}$ and a selection
mechanism $S(F,\mathbb{A},A)$ that selects on a case by case basis the best
algorithm. The semantic segmentation is then an optimization process that
combines best component segments from multiple results into a single optimal
result. The experiments compare three different algorithm selection mechanisms
using three selected semantic segmentation algorithms. The results show that
using the current state of art algorithms and relatively low accuracy of
algorithm selection the accuracy of the semantic segmentation can be improved
by 2\%.


title:
A note on the relationship between the Szlenk and $w^*$-dentability
  indices of arbitrary $w^*$-compact sets

abstract:
  We prove the optimal estimate between the Szlenk and $w^*$-dentability
indices of an arbitrary $w^*$-compact subset of the dual of a Banach space. For
a given $w^*$-compact, convex subset $K$ of the dual of a Banach space, we
introduce a two player game the winning strategies of which determine the
Szlenk index of $K$. We give applications to the $w^*$-dentability index of a
Banach space and of an operator.


title:
Reverse engineering of a Hamiltonian by designing the evolution
  operators

abstract:
  We propose an effective and flexible scheme for reverse engineering of a
Hamiltonian by designing the evolution operators to eliminate the terms of
Hamiltonian which are hard to be realized in practice. Different from
transitionless quantum driving (TQD) [31], the present scheme is focus on only
one or parts of moving states in a D-dimension (D > 3) system. The numerical
simulation shows that the present scheme not only contains the results of TQD,
but also has more free parameters, which make this scheme more flexible. An
example is given by using this scheme to realize the population transfer for a
Rydberg atom. The influences of various decoherence processes are discussed by
numerical simulation and the result shows that the scheme is fast and robust
against the decoherence and operational imperfection. Therefore, this scheme
may be used to construct a Hamiltonian which can be realized in experiments


title:
New pathways and connections in Number Theory and Analysis motivated by
  two incorrect claims of Ramanujan

abstract:
  We focus on three pages in Ramanujan's lost notebook, pages 336, 335, and
332, in decreasing order of attention. On page 336, Ramanujan proposes two
identities, but the formulas are wrong -- each is vitiated by divergent series.
We concentrate on only one of the two incorrect "identities", which may have
been devised to attack the extended divisor problem. We prove here a corrected
version of Ramanujan's claim, which contains the convergent series appearing in
it. The convergent series in Ramanujan's faulty claim is similar to one used by
G.F. Voronoi, G.H. Hardy, and others in their study of the classical Dirichlet
divisor problem. The page 335 comprises two formulas featuring doubly infinite
series of Bessel functions, the first being conjoined with the classical circle
problem initiated by Gauss, and the second being associated with the Dirichlet
divisor problem. The first and fourth authors, along with Sun Kim, have written
several papers providing proofs of these two difficult formulas in different
interpretations. In this monograph, we return to these two formulas and examine
them in more general settings.
  The Voronoi summation formula appears prominently in our study. In
particular, we generalize work of J.R. Wilton and derive an analogue involving
the sum of divisors function $\sigma_s(n)$.
  We also establish here new series and integral identities involving modified
Bessel functions and modified Lommel functions. Among other results, we
establish a modular transformation for an infinite series involving
$\sigma_{s}(n)$ and modified Lommel functions. We define and discuss two new
related classes of integral transforms, which we call Koshliakov transforms,
because N.S. Koshliakov first found elegant special cases of each.


title: Study of magnetic field geometry and extinction in Bok globule CB130

abstract:
  We trace the peripheral magnetic field structure of Bok globule CB130, by
estimating the linear polarization of its field stars in the R band. The
magnetic field orientation sampled by these stars, aligned on average among
themselves and the polarization produced within the cloud has a different
direction from that of Galactic plane with an offset of 53$^\circ$. The offset
between minor axis and the mean magnetic field of CB130 is found to be
80$^\circ$. The estimated strength of the magnetic field in the
plane-of-the-sky is $\sim$ 116$\pm$19 $\mu$G. We constructed the visual
extinction map using Near Infrared Color Excess (NICE) method to see the dust
distribution around CB130. Contours of Herschel {Herschel is an ESA space
observatory with science instruments provided by European-led Principal
Investigator consortia and with important participation from NASA} SPIRE
500$\mu$m dust continuum emission maps of this cloud is over-plotted on the
visual extinction map which shows the regions having higher optical extinction
corresponds to higher densities of dust. Three distinct high dust density cores
(named as C1, C2, and C3) are identified in the extinction map. It is observed
that the cores C1 and C3 located close to two previously known cores CB130-1
and CB130-2 respectively. Estimate of visual extinction of some moderately
obscured stars of CB130 are made utilizing near-infra red photometry. Its
observed that there is a feeble dependence of polarization on extinction; and
polarization efficiency (defined as $ \textit{p}$/A$ {V}$) of the dust grains
decreases with the increase in extinction.


title:
Inferring unknown biological function by integration of GO annotations
  and gene expression data

abstract:
  Characterizing genes with semantic information is an important process
regarding the description of gene products. In spite that complete genomes of
many organisms have been already sequenced, the biological functions of all of
their genes are still unknown. Since experimentally studying the functions of
those genes, one by one, would be unfeasible, new computational methods for
gene functions inference are needed. We present here a novel computational
approach for inferring biological function for a set of genes with previously
unknown function, given a set of genes with well-known information. This
approach is based on the premise that genes with similar behaviour should be
grouped together. This is known as the guilt-by-association principle. Thus, it
is possible to take advantage of clustering techniques to obtain groups of
unknown genes that are co-clustered with genes that have well-known semantic
information (GO annotations). Meaningful knowledge to infer unknown semantic
information can therefore be provided by these well-known genes. We provide a
method to explore the potential function of new genes according to those
currently annotated. The results obtained indicate that the proposed approach
could be a useful and effective tool when used by biologists to guide the
inference of biological functions for recently discovered genes. Our work sets
an important landmark in the field of identifying unknown gene functions
through clustering, using an external source of biological input. A simple web
interface to this proposal can be found at
http://fich.unl.edu.ar/sinc/webdemo/gamma-am/.


title:
NEOSurvey 1: Initial results from the Warm Spitzer Exploration Science
  Survey of Near Earth Object Properties

abstract:
  Near Earth Objects (NEOs) are small Solar System bodies whose orbits bring
them close to the Earth's orbit. We are carrying out a Warm Spitzer Cycle 11
Exploration Science program entitled NEOSurvey --- a fast and efficient
flux-limited survey of 597 known NEOs in which we derive diameter and albedo
for each target. The vast majority of our targets are too faint to be observed
by NEOWISE, though a small sample has been or will be observed by both
observatories, which allows for a cross-check of our mutual results. Our
primary goal is to create a large and uniform catalog of NEO properties. We
present here the first results from this new program: fluxes and derived
diameters and albedos for 80 NEOs, together with a description of the overall
program and approach, including several updates to our thermal model. The
largest source of error in our diameter and albedo solutions, which derive from
our single band thermal emission measurements, is uncertainty in eta, the
beaming parameter used in our thermal modeling; for albedos, improvements in
Solar System absolute magnitudes would also help significantly. All data and
derived diameters and albedos from this entire program are being posted on a
publicly accessible webpage at nearearthobjects.nau.edu .


title:
The influence of host galaxy morphology on the properties of Type Ia
  supernovae from the JLA compilation

abstract:
  The observational cosmology with distant Type Ia supernovae (SNe) as standard
candles claims that the Universe is in accelerated expansion, caused by a large
fraction of dark energy. In this paper we investigate the SN Ia environment,
studying the impact of the nature of their host galaxies on the Hubble diagram
fitting. The supernovae (192 SNe) used in the analysis were extracted from
Joint-Light-curves-Analysis (JLA) compilation of high-redshift and nearby
supernovae which is the best one to date. The analysis is based on the
empirical fact that SN Ia luminosities depend on their light curve shapes and
colors. We confirm that the stretch parameter of Type Ia supernovae is
correlated with the host galaxy type. The supernovae with lower stretch are
hosted mainly in elliptical and lenticular galaxies. No significant correlation
between SN Ia colour and host morphology was found.
  We also examine how the luminosities of SNe Ia change depending on host
galaxy morphology after stretch and colour corrections. Our results show that
in old stellar populations and low dust environments, the supernovae are
slightly fainter. SNe Ia in elliptical and lenticular galaxies have a higher
$\alpha$ (slope in luminosity-stretch) and $\beta$ (slope in luminosity-colour)
parameter than in spirals. However, the observed shift is at the 1-$\sigma$
uncertainty level and, therefore, can not be considered as significant.
  We confirm that the supernova properties depend on their environment and that
the incorporation of a host galaxy term into the Hubble diagram fit is expected
to be crucial for future cosmological analyses.


title:
Energy dependence of resonance production in relativistic heavy ion
  collisions

abstract:
  The production of hadronic resonances $K^{*}(892)$, $\phi(1020)$,
$\Sigma^{*}(1385)$, and $\Xi^{*}(1530)$ in central AA collisions at
$\sqrt{s_{NN}}=$ 17.3, 200, and 2760 GeV are systematically studied. The direct
production of these resonances at system hadronization are described by the
quark combination model and the effects of hadron multiple-scattering stage are
dealt with by a ultra-relativistic quantum molecular dynamics model (UrQMD). We
study the contribution of these two production sources to final observation and
compare the final spectra with the available experimental data. The $p_T$
spectra of $K^{*}(892)$ calculated directly by quark combination model are
explicitly higher than the data at low $p_T \lesssim 1.5$ GeV and taking into
account the modification of rescattering effects the resulting final spectra
well agree with the data at all three collision energies. The rescattering
effect on $\phi(1020)$ production is weak and including it can slightly improve
our description at low $p_T$ on the basis of overall agreement with the data.
We also predict the $p_T$ spectra of $\Sigma^{*}(1385)$ and $\Xi^{*}(1530)$ to
be tested by the future experimental data.


title: Coz: Finding Code that Counts with Causal Profiling

abstract:
  Improving performance is a central concern for software developers. To locate
optimization opportunities, developers rely on software profilers. However,
these profilers only report where programs spent their time: optimizing that
code may have no impact on performance. Past profilers thus both waste
developer time and make it difficult for them to uncover significant
optimization opportunities.
  This paper introduces causal profiling. Unlike past profiling approaches,
causal profiling indicates exactly where programmers should focus their
optimization efforts, and quantifies their potential impact. Causal profiling
works by running performance experiments during program execution. Each
experiment calculates the impact of any potential optimization by virtually
speeding up code: inserting pauses that slow down all other code running
concurrently. The key insight is that this slowdown has the same relative
effect as running that line faster, thus "virtually" speeding it up.
  We present Coz, a causal profiler, which we evaluate on a range of
highly-tuned applications: Memcached, SQLite, and the PARSEC benchmark suite.
Coz identifies previously unknown optimization opportunities that are both
significant and targeted. Guided by Coz, we improve the performance of
Memcached by 9%, SQLite by 25%, and accelerate six PARSEC applications by as
much as 68%; in most cases, these optimizations involve modifying under 10
lines of code.


title: Differential Privacy as a Mutual Information Constraint

abstract:
  Differential privacy is a precise mathematical constraint meant to ensure
privacy of individual pieces of information in a database even while queries
are being answered about the aggregate. Intuitively, one must come to terms
with what differential privacy does and does not guarantee. For example, the
definition prevents a strong adversary who knows all but one entry in the
database from further inferring about the last one. This strong adversary
assumption can be overlooked, resulting in misinterpretation of the privacy
guarantee of differential privacy.
  Herein we give an equivalent definition of privacy using mutual information
that makes plain some of the subtleties of differential privacy. The
mutual-information differential privacy is in fact sandwiched between
$\epsilon$-differential privacy and $(\epsilon,\delta)$-differential privacy in
terms of its strength. In contrast to previous works using unconditional mutual
information, differential privacy is fundamentally related to conditional
mutual information, accompanied by a maximization over the database
distribution. The conceptual advantage of using mutual information, aside from
yielding a simpler and more intuitive definition of differential privacy, is
that its properties are well understood. Several properties of differential
privacy are easily verified for the mutual information alternative, such as
composition theorems.


title: Wide-Range Probing of Dzyaloshinskii-Moriya Interaction

abstract:
  Dzyaloshinskii-Moriya interaction (DMI) in magnetic objects is of enormous
interest, because it generates a built-in chirality of magnetic domain walls
(DWs) and topologically-protected skyrmions for efficient motion driven by
spin-orbit torques. Because of its importance for perspective applications and
academic curiosities, many experimental efforts have been devoted to DMI
investigation. However, current experimental probing techniques cover only
limited ranges of the DMI with specific sample requirements, and there are no
versatile techniques covering a wide range of DMI. Here, we present a unique
experimental scheme to quantify DMI over a wide range based on the angular
dependence of asymmetric DW motion. It can determine DMI even larger than the
maximum magnetic field strength, demonstrating that various strengths of DMI
can be quantified using a single measurement setup. This scheme provides a
standard technique over a wide range of DMI, which is essential to DMI-related
emerging fields in nanotechnology.


title: Hamiltonian for the zeros of the Riemann zeta function

abstract:
  A Hamiltonian operator $\hat H$ is constructed with the property that if the
eigenfunctions obey a suitable boundary condition, then the associated
eigenvalues correspond to the nontrivial zeros of the Riemann zeta function.
The classical limit of $\hat H$ is $2xp$, which is consistent with the
Berry-Keating conjecture. While $\hat H$ is not Hermitian in the conventional
sense, ${\rm i}{\hat H}$ is ${\cal PT}$ symmetric with a broken ${\cal PT}$
symmetry, thus allowing for the possibility that all eigenvalues of $\hat H$
are real. A heuristic analysis is presented for the construction of the metric
operator to define an inner-product space, on which the Hamiltonian is
Hermitian. If the analysis presented here can be made rigorous to show that
${\hat H}$ is manifestly self-adjoint, then this implies that the Riemann
hypothesis holds true.

categories: quant-ph math-ph math.FA math.MP math.NT


title: The $(1|1)_R$-Centroid Problem on the Plane

abstract:
  In 1982, Drezner proposed the (1|1)-centroid problem on the plane, in which
two players, called the leader and the follower, open facilities to provide
service to customers in a competitive manner. The leader opens the first
facility, and then the follower opens the second. Each customer will patronize
the facility closest to him (ties broken in favor of the leader's one), thereby
decides the market share of the two players. The goal is to find the best
position for the leader's facility so that his market share is maximized. The
best algorithm for this problem is an $O(n^2 \log n)$-time parametric search
approach, which searches over the space of possible market share values.
  In the same paper, Drezner also proposed a general version of (1|1)-centroid
problem by introducing a minimal distance constraint $R$, such that the
follower's facility is not allowed to be located within a distance $R$ from the
leader's. He proposed an $O(n^5 \log n)$-time algorithm for this general
version by identifying $O(n^4)$ points as the candidates of the optimal
solution and checking the market share for each of them. In this paper, we
develop a new parametric search approach searching over the $O(n^4)$ candidate
points, and present an $O(n^2 \log n)$-time algorithm for the general version,
thereby close the $O(n^3)$ gap between the two bounds.


title: Evaluating Spintronic Devices Using The Modular Approach

abstract:
  Over the past decade a large family of spintronic devices have been proposed
as candidates for replacing CMOS for future digital logic circuits. Using the
recently developed Modular Approach framework, we investigate and identify the
physical bottlenecks and engineering challenges facing current spintronic
devices. We then evaluate how systematic advancements in material properties
and device design innovations impact the performance of spintronic devices, as
a possible continuation of Moore's Law, even though some of these projections
are speculative and may require technological breakthroughs. Lastly, we
illustrate the use of the Modular Approach as an exploratory tool for
probabilistic networks, using superparamagnetic magnets as building blocks for
such networks. These building blocks leverage the inherent physics of
stochastic spin-torque switching and could provide ultra-compact and efficient
hardware for beyond-Boolean computational paradigms.


title: Viscosity solutions for junctions: well posedness and stability

abstract:
  We introduce a notion of state-constraint viscosity solutions for one
dimensional \junction"-type problems for Hamilton-Jacobi equations with non
convex coercive Hamiltonians and study its well- posedness and stability
properties. We show that viscosity approximations either select the state-
constraint solution or have a unique limit. We also introduce another type of
approximation by fattening the domain. We also make connections with existing
results for convex equations and discuss extensions to time dependent and/or
multi-dimensional problems.


title:
Milky Way Kinematics. II. A uniform inner Galaxy HI terminal velocity
  curve

abstract:
  Using atomic hydrogen (HI) data from the VLA Galactic Plane Survey we measure
the HI terminal velocity as a function of longitude for the first quadrant of
the Milky Way. We use these data, together with our previous work on the fourth
Galactic quadrant, to produce a densely sampled, uniformly measured, rotation
curve of the Northern and Southern Milky Way between $3~{\rm kpc} < R < 8~{\rm
kpc}$. We determine a new joint rotation curve fit for the first and fourth
quadrants, which is consistent with the fit we published in McClure-Griffiths
\& Dickey (2007) and can be used for estimating kinematic distances interior to
the solar circle. Structure in the rotation curves is now exquisitely well
defined, showing significant velocity structure on lengths of $\sim 200$ pc,
which is much greater than the spatial resolution of the rotation curve.
Furthermore, the shape of the rotation curves for the first and fourth
quadrants, even after subtraction of a circular rotation fit shows a surprising
degree of correlation with a roughly sinusoidal pattern between $4.2 < R < 7$
kpc.


title: Some connections between BCK algebras and n ary block codes

abstract:
  In the last time some papers were devoted to the study of the con- nections
between binary block codes and BCK-algebras. In this paper, we try to
generalize these results to n-ary block codes, providing an algorithm which
allows us to construct a BCK-algebra from a given n-ary block code.


title: Separable determination in Banach spaces

abstract:
  We study a relation between three different formulations of theorems on
separable determination - one using the concept of rich families, second via
the concept of suitable models and third, a new one, suggested in this paper,
using the notion of $\omega$-monotone mappings. In particular, we show that in
Banach spaces all those formulations are in a sense equivalent and we give a
positive answer to two questions of O. Kalenda and the author. Our results
enable us to obtain new statements concerning separable determination of
$\sigma$-porosity (and of similar notions) in the language of rich families;
thus, not using any terminology from logic or set theory.
  Moreover, we prove that in Asplund spaces, generalized lushness is separably
determined.


title: Scalable Interpretable Multi-Response Regression via SEED

abstract:
  Sparse reduced-rank regression is an important tool to uncover meaningful
dependence structure between large numbers of predictors and responses in many
big data applications such as genome-wide association studies and social media
analysis. Despite the recent theoretical and algorithmic advances, scalable
estimation of sparse reduced-rank regression remains largely unexplored. In
this paper, we suggest a scalable procedure called sequential estimation with
eigen-decomposition (SEED) which needs only a single top-$r$ singular value
decomposition to find the optimal low-rank and sparse matrix by solving a
sparse generalized eigenvalue problem. Our suggested method is not only
scalable but also performs simultaneous dimensionality reduction and variable
selection. Under some mild regularity conditions, we show that SEED enjoys nice
sampling properties including consistency in estimation, rank selection,
prediction, and model selection. Numerical studies on synthetic and real data
sets show that SEED outperforms the state-of-the-art approaches for large-scale
matrix estimation problem.


title:
Combining Strong Lensing and Dynamics in Galaxy Clusters: integrating
  MAMPOSSt within LENSTOOL I. Application on SL2S J02140-0535

abstract:
  We present a new framework were we simultaneously fit strong lensing (SL) and
dynamical data. The SL analysis is based on LENSTOOL, and the dynamical
analysis uses MAMPOSSt code, which we have integrated into LENSTOOL. After
describing the implementation of this new tool, we apply it on the galaxy group
SL2S\,J02140-0535 ($z_{\rm spec}=0.44$), which we have already studied in the
past. We use new VLT/FORS2 spectroscopy of multiple images and group members,
as well as shallow X-ray data from \xmm. We confirm that the observed lensing
features in SL2S\,J02140-0535 belong to different background sources. One of
this sources is located at $z_{\rm spec}$ = 1.017 $\pm$ 0.001, whereas the
other source is located at $z_{\rm spec}$ = 1.628 $\pm$ 0.001. With the
analysis of our new and our previously reported spectroscopic data, we find 24
secure members for SL2S\,J02140-0535. Both data sets are well reproduced by a
single NFW mass profile: the dark matter halo coincides with the peak of the
light distribution, with scale radius, concentration, and mass equal to $r_s$
=$82^{+44}_{-17}$ kpc , $c_{200}$ = $10.0^{+1.7}_{-2.5}$, and $M_{200}$ =
$1.0^{+0.5}_{-0.2}$ $\times$ 10$^{14}$M$_{\odot}$ respectively. These
parameters are better constrained when we fit simultaneously SL and dynamical
information. The mass contours of our best model agrees with the direction
defined by the luminosity contours and the X-ray emission of SL2S\,J02140-0535.
The simultaneous fit lowers the error in the mass estimate by 0.34 dex, when
compared to the SL model, and in 0.15 dex when compared to the dynamical
method.The combination of SL and dynamics tools yields a more accurate probe of
the mass profile of SL2S\,J02140-0535 up to $r_{200}$. However, there is
tension between the best elliptical SL model and the best spherical dynamical
model.


title:
Modules which are coinvariant under automorphisms of their projective
  covers

abstract:
  In this paper we study modules coinvariant under automorphisms of their
projective covers. We first provide an alternative, and in fact, a more
succinct and conceptual proof for the result that a module $M$ is invariant
under automorphisms of its injective envelope if and only if given any
submodule $N$ of $M$, any monomorphism $f:N\rightarrow M$ can be extended to an
endomorphism of $M$ and then, as a dual of it, we show that over a right
perfect ring, a module $M$ is coinvariant under automorphisms of its projective
cover if and only if for every submodule $N$ of $M$, any epimorphism $\varphi:
M\rightarrow M/N$ can be lifted to an endomorphism of $M$.


title: Generalized Lexicographic Products and the Index Coding Capacity

abstract:
  The index coding problem studies the fundamental limit on broadcasting
multiple messages to their respective receivers with different sets of side
information that are represented by a directed graph. The generalized
lexicographic product structure in the side information graph is introduced as
a natural condition under which the corresponding index coding problem can be
decomposed into multiple interacting subproblems. The capacity region is
characterized in terms of the subproblem capacity regions combined in the same
product structure. The proof is based on dual uses of random coding---one for a
new multiletter characterization of the capacity region of a general index
coding problem via joint typicality decoding and the other for a construction
of a new multiletter code of matching rates from a single-letter code via joint
typicality encoding. Several special cases are discussed that recover and
strengthen known structural properties of the index coding capacity region.


title:
Optical frequency divider with division uncertainty at the 10^(-21)
  level

abstract:
  Optical clocks with unprecedented accuracy of 10^(-18) will lead to
innovations in many research areas. All the applications of optical clocks rely
on the ability of precisely converting the frequency from one optical clock to
another, or particularly to the frequencies in the fiber telecom band for
long-distance transmission. Here, we report a low-noise, high precision optical
frequency divider. It can realize accurate optical frequency conversion as well
as enable precise measurement of optical frequency ratios. By comparing against
the frequency ratio between the fundamental and the second harmonic of a 1064
nm laser rather than a second similar system, the optical frequency divider is
demonstrated to have a frequency division instability of 6e-19 at 1 s and a
fractional frequency division uncertainty of 1.4e-21, nearly three orders of
magnitude better than the most accurate optical clocks. It allows optical
clocks to be accessible to many precision measurement applications.


title: Dark Side of the Standard Model: Dormant New Physics Awaken

abstract:
  We find that the nonperturbative physics of the standard-model Higgs
Lagrangian provides a dark matter candidate, "dormant skyrmion in the standard
model", the same type of the skyrmion, a soliton, as in the hadron physics. It
is stabilized by another nonperturbative object in the standard model, the
dynamical gauge boson of the hidden local symmetry, which is also an analogue
of the rho meson.


title: On categories of (phi, Gamma)-modules

abstract:
  Let K be a complete discretely valued field of mixed characteristics (0, p)
with perfect residue field. One of the central objects of study in p-adic Hodge
theory is the category of continuous representations of the absolute Galois
group of K on finite-dimensional Qp-vector spaces. In recent years, it has
become clear that this category can be studied more effectively by embedding it
into the larger category of (phi, Gamma)-modules; this larger category plays a
role analogous to that played by the category of vector bundles on a compact
Riemann surface in the Narasimhan-Seshadri theorem on unitary representations
of the fundamental group of said surface. This category turns out to have a
number of distinct natural descriptions, which on one hand suggests the
naturality of the construction, but on the other hand forces one to use
different descriptions for different applications. We provide several of these
descriptions and indicate how to translate certain key constructions, which
were originally given in the context of modules over power series rings, to the
more modern context of perfectoid algebras and spaces.


title:
Absence of first order transition in the random crystal field
  Blume-Capel model on a fully connected graph

abstract:
  In this paper we solve the Blume-Capel model on a complete graph in the
presence of random crystal field with a distribution, $P(\Delta_i)
=p\delta(\Delta_i-\Delta)+(1-p) \delta(\Delta_i+\Delta)$, using large deviation
techniques. We find that the first order transition of the pure system is
destroyed for $0.046<p<0.954$ for all values of the crystal field, $\Delta$.
The system has a line of continuous transition for this range of $p$ from
$-\infty <\Delta <\infty$. For values of $p$ outside this interval, the phase
diagram of the system is similar to the pure model, with a tricritical point
separating the line of first order and continuous transitions. We find that in
this regime, the order vanishes for large $\Delta$ for $p<0.046$(and for large
$-\Delta$ for $p>0.954$) even at zero temperature.


title: Density Matching Reward Learning

abstract:
  In this paper, we focus on the problem of inferring the underlying reward
function of an expert given demonstrations, which is often referred to as
inverse reinforcement learning (IRL). In particular, we propose a model-free
density-based IRL algorithm, named density matching reward learning (DMRL),
which does not require model dynamics. The performance of DMRL is analyzed
theoretically and the sample complexity is derived. Furthermore, the proposed
DMRL is extended to handle nonlinear IRL problems by assuming that the reward
function is in the reproducing kernel Hilbert space (RKHS) and kernel DMRL
(KDMRL) is proposed. The parameters for KDMRL can be computed analytically,
which greatly reduces the computation time. The performance of KDMRL is
extensively evaluated in two sets of experiments: grid world and track driving
experiments. In grid world experiments, the proposed KDMRL method is compared
with both model-based and model-free IRL methods and shows superior performance
on a nonlinear reward setting and competitive performance on a linear reward
setting in terms of expected value differences. Then we move on to more
realistic experiments of learning different driving styles for autonomous
navigation in complex and dynamic tracks using KDMRL and receding horizon
control.


title:
Cluster of red blood cells in microcapillary flow: hydrodynamic versus
  macromolecule induced interaction

abstract:
  We present experiments on RBCs that flow through microcapillaries under
physiological conditions. We show that the RBC clusters form as a subtle
imbrication between hydrodynamics interaction and adhesion forces because of
plasma proteins. Clusters form along the capillaries and macromolecule-induced
adhesion contribute to their stability. However, at high yet physiological flow
velocities, shear stresses overcome part of the adhesion forces, and cluster
stabilization due to hydrodynamics becomes stronger. For the case of pure
hydrodynamic interaction, cell-to-cell distances have a pronounced bimodal
distribution. Our 2D-numerical simulations on vesicles captures the transition
between adhesive and non-adhesive clusters at different flow velocities.


title:
Global existence analysis of cross-diffusion population systems for
  multiple species

abstract:
  The existence of global-in-time weak solutions to reaction-cross-diffusion
systems for an arbitrary number of competing population species is proved. The
equations can be derived from an on-lattice random-walk model with general
transition rates. In the case of linear transition rates, it extends the
two-species population model of Shigesada, Kawasaki, and Teramoto. The
equations are considered in a bounded domain with homogeneous Neumann boundary
conditions. The existence proof is based on a refined entropy method and a new
approximation scheme. Global existence follows under a detailed balance or weak
cross-diffusion condition. The detailed balance condition is related to the
symmetry of the mobility matrix, which mirrors Onsager's principle in
thermodynamics. Under detailed balance (and without reaction), the entropy is
nonincreasing in time, but counter-examples show that the entropy may increase
initially if detailed balance does not hold.


title:
On Information-Theoretic Characterizations of Markov Random Fields and
  Subfields

abstract:
  Let $X_i, i \in V$ form a Markov random field (MRF) represented by an
undirected graph $G = (V,E)$, and $V'$ be a subset of $V$.
  We determine the smallest graph that can always represent the subfield $X_i,
i \in V'$ as an MRF. Based on this result, we obtain a necessary and sufficient
condition for a subfield of a Markov tree to be also a Markov tree. When $G$ is
a path so that $X_i, i \in V$ form a Markov chain, it is known that the
$I$-Measure is always nonnegative and the information diagram assumes a very
special structure Kawabata and Yeung (1992). We prove that Markov chain is
essentially the only MRF such that the $I$-Measure is always nonnegative. By
applying our characterization of the smallest graph representation of a
subfield of an MRF, we develop a recursive approach for constructing
information diagrams for MRFs. Our work is built on the set-theoretic
characterization of an MRF in Yeung, Lee, and Ye (2002).


title: Self-similar motion of a Nambu-Goto string

abstract:
  We study the self-similar motion of a string in a self-similar spacetime by
introducing the concept of a self-similar string, which is defined as the world
sheet to which a homothetic vector field is tangent. It is shown that in
Nambu-Goto theory, the equations of motion for a self-similar string reduce to
those for a particle. Moreover, under certain conditions such as the
hypersurface orthogonality of the homothetic vector field, the equations of
motion for a self-similar string simplify to the geodesic equations on a
(pseudo) Riemannian space. As a concrete example, we investigate a self-similar
Nambu-Goto string in a spatially flat Friedmann-Lema\^itre-Robertson-Walker
expanding universe with self-similarity and obtain solutions of open and closed
strings, which have various nontrivial configurations depending on the rate of
the cosmic expansion. For instance, we obtain a circular solution that evolves
linearly in the cosmic time while keeping its configuration by the balance
between the effects of the cosmic expansion and string tension. We also show
the instability for linear radial perturbation of the circular solutions.


title: Comparing the generalized roundness of metric spaces

abstract:
  Motivated by the local theory of Banach spaces we introduce a notion of
finite representability for metric spaces. This allows us to develop a new
technique for comparing the generalized roundness of metric spaces. We
illustrate this technique in two different ways by applying it to Banach spaces
and metric trees. In the realm of Banach spaces we obtain results such as the
following: (1) if $\mathcal{U}$ is any ultrafilter and $X$ is any Banach space,
then the second dual $X^{\ast\ast}$ and the ultrapower $(X)_{\mathcal{U}}$ have
the same generalized roundness as $X$, and (2) no Banach space of positive
generalized roundness is uniformly homeomorphic to $c_{0}$ or $\ell_{p}$, $2 <
p < \infty$. Our technique also leads to the identification of new classes of
metric trees of generalized roundness one. In particular, we give the first
examples of metric trees of generalized roundness one that have finite
diameter. These results on metric trees provide a natural sequel to a paper of
Caffarelli, Doust and Weston. In addition, we show that metric trees of
generalized roundness one possess special Euclidean embedding properties that
distinguish them from all other metric trees.


title: On $q$-Quasiadditive and $q$-Quasimultiplicative Functions

abstract:
  In this paper, we introduce the notion of $q$-quasiadditivity of arithmetic
functions, as well as the related concept of $q$-quasimultiplicativity, which
generalise strong $q$-additivity and -multiplicativity, respectively. We show
that there are many natural examples for these concepts, which are
characterised by functional equations of the form $f(q^{k+r}a + b) = f(a) +
f(b)$ or $f(q^{k+r}a + b) = f(a) f(b)$ for all $b < q^k$ and a fixed parameter
$r$. In addition to some elementary properties of $q$-quasiadditive and
$q$-quasimultiplicative functions, we prove characterisations of
$q$-quasiadditivity and $q$-quasimultiplicativity for the special class of
$q$-regular functions. The final main result provides a general central limit
theorem that includes both classical and new examples as corollaries.


title:
Tug-of-war games with varying probabilities and the normalized
  $p(x)$-Laplacian

abstract:
  We study a tug-of-war game with varying probabilities. In particular, we show
that the value of the game is locally asymptotically H\"{o}lder continuous. We
also show the existence and uniqueness of values of the game. As an
application, we prove that the value function of the game converges to a
solution of the normalized $p(x)$-Laplacian.


title: Quantum simulation of disordered systems with cold atoms

abstract:
  This paper reviews the physics of quantum disorder in relation with a series
of experiments using laser-cooled atoms exposed to "kicks" of a standing wave,
realizing a paradigmatic model of quantum chaos, the kicked rotor. This
dynamical system can be mapped onto a tight-binding Hamiltonian with
pseudo-disorder, formally equivalent to the Anderson model of quantum disorder,
with quantum chaos playing the role of disorder. This provides a very good
quantum simulator for the Anderson physics.

categories: quant-ph cond-mat.dis-nn cond-mat.quant-gas nlin.CD


title:
Template estimation in computational anatomy: Fr\'echet means in top and
  quotient spaces are not consistent

abstract:
  In this article, we study the consistency of the template estimation with the
Fr\'echet mean in quotient spaces. The Fr\'echet mean in quotient spaces is
often used when the observations are deformed or transformed by a group action.
We show that in most cases this estimator is actually inconsistent. We exhibit
a sufficient condition for this inconsistency, which amounts to the folding of
the distribution of the noisy template when it is projected to the quotient
space. This condition appears to be fulfilled as soon as the support of the
noise is large enough. To quantify this inconsistency we provide lower and
upper bounds of the bias as a function of the variability (the noise level).
This shows that the consistency bias cannot be neglected when the variability
increases.


title: Cavity optomechanics with arrays of thick dielectric membranes

abstract:
  Optomechanical arrays made of structured flexible dielectrics are a promising
system for exploring quantum and many-body optomechanical phenomena. We
generalize investigations of the optomechanical properties of periodic arrays
of one-dimensional scatterers in optical resonators to the case of vibrating
membranes whose thickness is not necessarily small with respect to the optical
wavelength of interest. The array optical transmission spectrum and its
optomechanical coupling with a linear Fabry-Perot cavity field are investigated
both analytically and numerically.


title: Near and Far from Equilibrium Power-Law Statistics

abstract:
  We analyze the connection between $p_T$ and multiplicity distributions in a
statistical framework. We connect the Tsallis parameters, $T$ and $q$, to
physical properties like average energy per particle and the second scaled
factorial moment, $F_2=\langle n(n-1) \rangle / {\langle n \rangle}^2$,
measured in multiplicity distributions. Near and far from equilibrium scenarios
with master equations for the probability of having $n$ particles, $P_n$, are
reviewed based on hadronization transition rates, $\mu_n$, from $n$ to $n+1$
particles.


title: Rotated sphere packing designs

abstract:
  We propose a new class of space-filling designs called rotated sphere packing
designs for computer experiments. The approach starts from the asymptotically
optimal positioning of identical balls that covers the unit cube. Properly
scaled, rotated, translated and extracted, such designs are excellent in
maximin distance criterion, low in discrepancy, good in projective uniformity
and thus useful in both prediction and numerical integration purposes. We
provide a fast algorithm to construct such designs for any numbers of
dimensions and points with R codes available online. Theoretical and numerical
results are also provided.


title: ABS: an Analytical method of Blind Separation of CMB from foregrounds

abstract:
  Extracting CMB B-mode polarization from complicated foregrounds is a
challenging task in searching for inflationary gravitational waves. We propose
the ABS method as a blind and analytical solution to this problem. It applies
to the measured cross bandpower between different frequency bands and obtains
the CMB B-mode bandpower analytically. It does not rely on assumptions of
foregrounds and does not require multiple parameter fitting. Testing against a
variety of foregrounds, survey frequency configurations and instrument noise,
we verify its applicability and numerical stability. The ABS method also
applies to CMB temperature, E-mode polarization, the thermal Sunyaev Zel'dovich
effect, spectral distortion, and even significantly different problems such as
cosmic magnification.


title: Coherent microwave generation by spintronic feedback oscillator

abstract:
  The transfer of spin angular momentum to a nanomagnet from a spin polarized
current provides an efficient means of controlling the magnetization direction
in nanomagnets. A unique consequence of this spin torque is that the
spontaneous oscillations of the magnetization can be induced by applying a
combination of a dc bias current and a magnetic field. Here we experimentally
demonstrate a different effect, which can drive a nanomagnet into spontaneous
oscillations without the need of external spin torque injection. For the
demonstration of this effect, we use a nano-pillar of magnetic tunnel junction
(MTJ) powered by a dc current and connected to a coplanar waveguide (CPW) lying
above the free layer of the MTJ. Any fluctuation of the free layer
magnetization is converted into oscillating voltage via the tunneling
magneto-resistance effect and is fed back into the MTJ by the CPW through
inductive coupling. As a result of this feedback, the magnetization of the free
layer can be driven into a continual precession. The combination of MTJ and CPW
behaves similar to a laser system and outputs a stable rf power with quality
factor exceeding 10,000.


title: General sGoldstino Inflation

abstract:
  We prove that all inflationary models, including those with dark energy after
the end of inflation, can be embedded in minimal supergravity with a single
chiral superfield. Moreover, the amount of supersymmetry breaking is
independently tunable due to a degeneracy in the choice for the superpotential.
The inflaton is a scalar partner of the Goldstino in this set-up. We illustrate
our general procedure with two examples that are favoured by the Planck data.


title:
Joint 3D Positioning and Network Synchronization in 5G Ultra-Dense
  Networks Using UKF and EKF

abstract:
  It is commonly expected that future fifth generation (5G) networks will be
deployed with a high spatial density of access nodes (ANs) in order to meet the
envisioned capacity requirements of the upcoming wireless networks.
Densification is beneficial not only for communications but it also creates a
convenient infrastructure for highly accurate user node (UN) positioning.
Despite the fact that positioning will play an important role in future
networks, thus enabling a huge amount of location-based applications and
services, this great opportunity has not been widely explored in the existing
literature. Therefore, this paper proposes an unscented Kalman filter
(UKF)-based method for estimating directions of arrival (DoAs) and times of
arrival (ToA) at ANs as well as performing joint 3D positioning and network
synchronization in a network-centric manner. In addition to the proposed
UKF-based solution, the existing 2D extended Kalman filter (EKF)-based solution
is extended to cover also realistic 3D positioning scenarios. Building on the
premises of 5G ultra-dense networks (UDNs), the performance of both methods is
evaluated and analysed in terms of DoA and ToA estimation as well as
positioning and clock offset estimation accuracy, using the METIS map-based
ray-tracing channel model and 3D trajectories for vehicles and unmanned aerial
vehicles (UAVs) through the Madrid grid. Based on the comprehensive numerical
evaluations, both proposed methods can provide the envisioned one meter 3D
positioning accuracy even in the case of unsynchronized 5G network while
simultaneously tracking the clock offsets of network elements with a
nanosecond-scale accuracy.


title:
Coordinate-Space Solver for Superfluid Many-Fermion Systems with Shifted
  Conjugate Orthogonal Conjugate Gradient Method

abstract:
  Self-consistent approaches to superfluid many-fermion systems in 3-dimensions
(and subsequent time-dependent approaches) require a large number of
diagonalizations of very large dimension hermitian matrices, which results in
enormous computational costs. We present an approach based on the shifted
conjugate-orthogonal conjugate-gradient (COCG) method for the evaluation of the
Green's function, from which we subsequently extract various densities
(particle number, spin, current, kinetic energy, etc.) of a nuclear system
needed in self-consistent approaches. The approach eschews the construction of
the quasiparticle wavefunctions and their corresponding quasiparticle energies,
which are never explicitly needed in any density functional approaches. As
benchmarks we present calculations for nuclei with axial symmetry, including
the ground state of spherical (magic or semi-magic) and axially deformed
nuclei, the saddle-point in the $^{240}$Pu constrained fission path, and a
vortex in the neutron star crust.


title: Uniqueness of differential polynomials sharing one value

abstract:
  We prove some uniqueness results which improve and generalize results of
Jiang-Tao Li and Ping Li[Uniqueness of entire functions concerning differential
polynomials. Commun. Korean Math. Soc. 30 (2015), No. 2, pp. 93-101].


title: On isomorphisms of algebras of compactly supported continuous functions

abstract:
  We study the general form of isomorphisms on the algebra of compactly
supported complex-valued continuous functions defined on a locally compact
Hausdorff space (the proof of which works for the algebra of
$C^k-$differentiable functions on a $C^k-$manifold as well). We obtain using
only topological techniques, that any such map is a composition of a
homeomorphism of the locally compact space (resp. $C^k-$diffeomorphism), and an
automorphism of the field of complex numbers. In the particular case when $X$
is a locally compact group, and the map preserves convolution products, the
resulting homeomorphism is also a group isomorphism. An application of this
gives a characterisation of the Fourier transform on the algebra of
Schwartz-Bruhat functions on locally compact Abelian groups.


title:
Unsupervised feature learning from finite data by message passing:
  discontinuous versus continuous phase transition

abstract:
  Unsupervised neural network learning extracts hidden features from unlabeled
training data. This is used as a pretraining step for further supervised
learning in deep networks. Hence, understanding unsupervised learning is of
fundamental importance. Here, we study the unsupervised learning from a finite
number of data, based on the restricted Boltzmann machine learning. Our study
inspires an efficient message passing algorithm to infer the hidden feature,
and estimate the entropy of candidate features consistent with the data. Our
analysis reveals that the learning requires only a few data if the feature is
salient and extensively many if the feature is weak. Moreover, the entropy of
candidate features monotonically decreases with data size and becomes negative
(i.e., entropy crisis) before the message passing becomes unstable, suggesting
a discontinuous phase transition. In terms of convergence time of the message
passing algorithm, the unsupervised learning exhibits an easy-hard-easy
phenomenon as the training data size increases. All these properties are
reproduced in an approximate Hopfield model, with an exception that the entropy
crisis is absent, and only continuous phase transition is observed. This key
difference is also confirmed in a handwritten digits dataset. This study
deepens our understanding of unsupervised learning from a finite number of
data, and may provide insights into its role in training deep networks.

categories: cond-mat.dis-nn cond-mat.stat-mech cs.LG q-bio.NC


title:
Absolutely Minimizing Lipschitz Extensions and Infinity Harmonic
  Functions on the Sierpinski gasket

abstract:
  Aim of this note is to study the infinity Laplace operator and the
corresponding Absolutely Minimizing Lipschitz Extension problem on the
Sierpinski gasket in the spirit of the classical construction of Kigami for the
Laplacian. We introduce a notion of infinity harmonic functions on pre-fractal
sets and we show that these functions solve a Lipschitz extension problem in
the discrete setting. Then we prove that the limit of the infinity harmonic
functions on the pre-fractal sets solves the Absolutely Minimizing Lipschitz
Extension problem on the Sierpinski gasket.


title:
Semiclassical analysis of the Schr{\"o}dinger equation with conical
  singularities

abstract:
  In this article we study the propagation of Wigner measures linked to
solutions of the Schr{\"o}dinger equation with potentials presenting conical
singularities and show that they are transported by two different Hamiltonian
flows, one over the bundle cotangent to the singular set and the other
elsewhere in the phase space, up to a transference phenomenon between these two
regimes that may arise whenever trajectories in the outsider flow lead in or
out the bundle. We describe in detail either the flow and the mass
concentration around and on the singular set and illustrate with examples some
issues raised by the lack of unicity for the classical trajectories at the
singularities despite the unicity for the quantum solutions, dismissing any
classical selection principle, but in some cases being able to fully solve the
propagation problem.


title:
Convection roll-driven generation of supra-wavelength periodic surface
  structures on dielectrics upon irradiation with femtosecond pulsed lasers

abstract:
  The significance of the magnitude of Prandtl number of a fluid in the
propagation direction of induced convection rolls is elucidated. Specifically,
we report on the physical mechanism to account for the formation and
orientation of previously unexplored supra-wavelength periodic surface
structures in dielectrics, following melting and subsequent capillary effects
induced upon irradiation with ultrashort laser pulses. Counterintuitively, it
is found that such structures exhibit periodicities, which are markedly, even
multiple times, higher than the laser excitation wavelength. It turns out that
the extent to which the hydrothermal waves relax depends upon the laser beam
energy, produced electron densities upon excitation with femtosecond pulsed
lasers, magnitude of the induced initial local roll disturbances and the
magnitude of the Prandtl number with direct consequences on the orientation and
size of the induced structures. It is envisaged that this elucidation may be
useful for the interpretation of similar, albeit large-scale periodic or
quasi-periodic structures formed in other natural systems due to thermal
gradients, while it can also be of great importance for potential applications
in biomimetics.


title: Tidal Heating of Young Super-Earth Atmospheres

abstract:
  Short-period Earth to Neptune size exoplanets (super-Earths) with voluminous
gas envelopes seem to be very common. These gas atmospheres are thought to have
originated from the protoplanetary disk in which the planets were embedded
during their first few Myr. The accretion rate of gas from the surrounding
nebula is determined by the ability of the gas to cool and radiate away its
gravitational energy. Here we demonstrate that heat from the tidal interaction
between the star and the young (and therefore inflated) planet can inhibit the
gas cooling and accretion. Quantitatively, we find that the growth of
super-Earth atmospheres halts for planets with periods of about 10 days,
provided that their initial eccentricities are of the order of 0.2. Thus, tidal
heating provides a robust and simple mechanism that can simultaneously explain
why these planets did not become gas giants and account for the deficit of
low-density planets closer to the star, where the tides are even stronger. We
suggest that tidal heating may be as important as other factors (such as the
nebula's lifetime and atmosphere evaporation) in shaping the observed
super-Earth population.


title:
The effect of chirped intense femtosecond laser pulses on the Argon
  cluster

abstract:
  The interaction of intense femtosecond laser pulses with atomic Argon
clusters has been investigated by using nano-plasma model. Based on the dynamic
simulations, ionization process, heating and expansion of a cluster after
irradiation by femtosecond laser pulses at intensities up to 2*1017 Wcm-2 are
studied. The analytical calculation provides ionization ratefor different
mechanisms and time evolution of the density of electrons for different pulse
shapes. In this approach the strong dependence of laser intensity, pulse
duration and laser shape on the electron energy, the electron density and the
cluster size are presented using the intense chirped laser pulses. Based on the
presented theoretical modifications, the effect of chirped laser pulse on the
complex dynamical process of the interaction is studied. It is found that the
energy of electrons and the radius of cluster for the negatively chirped
pulsesare improved up to 20% in comparison to the unchirped and positively
chirped pulses.


title:
Speech Signal Analysis for the Estimation of Heart Rates Under Different
  Emotional States

abstract:
  A non-invasive method for the monitoring of heart activity can help to reduce
the deaths caused by heart disorders such as stroke, arrhythmia and heart
attack. The human voice can be considered as a biometric data that can be used
for estimation of heart rate. In this paper, we propose a method for estimating
the heart rate from human speech dynamically using voice signal analysis and by
the development of an empirical linear predictor model. The correlation between
the voice signal and heart rate are established by classifiers and prediction
of the heart rates with or without emotions are done using linear models. The
prediction accuracy was tested using the data collected from 15 subjects, it is
about 4050 samples of speech signals and corresponding electrocardiogram
samples. The proposed approach can use for early non-invasive detection of
heart rate changes that can be correlated to an emotional state of the
individual and also can be used as a tool for diagnosis of heart conditions in
real-time situations.


title:
On the Geometry of the Multiplicatively Closed Sets generated by at most
  Two Elements with arbitrarily Large Gaps, a constructive method

abstract:
  We prove in Theorem $2.2$ that the multiplicatively closed subset generated
by at most two elements in the set of natural numbers $\mathbb{N}$ has
arbitrarily large gaps by explicitly constructing large integer intervals with
known prime factorization for the end points, which do not contain any element
from the multiplicatively closed set apart from the end points, which belong to
the multiplicatively closed set. An Example $4.6$ is also illustrated.
  We also give a criterion in Theorems $7.8,7.12$ by using a geometric
correspondence between maximal singly generated multiplicatively closed sets
and points of the space $\mathbb{PF}^{\infty}_{\mathbb{Q}\geq 0}$ (refer to
Theorem $7.5$) as to when a finitely generated multiplicatively closed set
gives rise to a doubly multiplicatively closed line (refer to Definition
$7.4$). We answer a similar Question $5.1$ partially about gaps in a
multiply-generated multiplicative closed set, when it is contained in a doubly
multiplicative closed set using Theorem $7.8$ and Theorem $7.17$.
  In the appendix Section $8$ we discuss another constructive proof (refer to
Theorem $8.6$) for arbitrarily large gap intervals, where the prime
factorization is not known for the right end-point unlike the constructive
proof of the main result of the article in the case of multiplicatively closed
set $\{p_1^ip_2^j\mid i,j\in \mathbb{N}\cup\{0\}\}$ with
$\{p_1<p_2,Log_{p_1}(p_2)\}$ irrational for which the prime factorization is
known for both the end-points of the gap interval via the stabilization
sequence of the irrational $\frac {1}{Log_{p_1}(p_2)}$.


title:
A Single Nucleotide Resolution Model for Large-Scale Simulations of
  Double Stranded DNA

abstract:
  The computational modelling of DNA is becoming crucial in light of new
advances in DNA nanotechnology, single-molecule experiments and in vivo DNA
tampering. Here we present a mesoscopic model for double stranded DNA (dsDNA)
at the single nucleotide level which retains the characteristic helical
structure, while being able to simulate large molecules -- up to a million base
pairs -- for time-scales which are relevant to physiological processes. This is
made possible by an efficient and highly-parallelised implementation of the
model which we discuss here. We compare the behaviour of our model with single
molecule experiments where dsDNA is manipulated by external forces or torques.
We also present some results on the kinetics of denaturation of linear DNA.

categories: cond-mat.soft physics.bio-ph physics.comp-ph q-bio.BM


title:
Aliasing-truncation Errors in Sampling Approximations of Sub-Gaussian
  Signals

abstract:
  The article starts with new aliasing-truncation error upper bounds in the
sampling theorem for non-bandlimited stochastic signals. Then, it investigates
$L_p([0,T])$ approximations of sub-Gaussian random signals. Explicit truncation
error upper bounds are established. The obtained rate of convergence provides a
constructive algorithm for determining the sampling rate and the sample size in
the truncated Whittaker-Kotel'nikov-Shannon expansions to ensure the
approximation of sub-Gaussian signals with given accuracy and reliability. Some
numerical examples are presented.


title: RFID-Cloud Smart Cart System

abstract:
  The main purpose of this work is in reducing the queuing delays in major
supermarkets or other shopping centers by means of an Electronic Smart Cart
System which will introduce an intellectual approach to billing process through
RFID technology. Smart Cart System is a cooperative performance of three
separate systems: a website developed for the shopping market, electronic smart
cart device and anti-theft RFID gates. This project focuses on developing the
electronic smart cart device itself. It involves an embedded electronic
hardware that consists of an OLED display, Arduino Mega 2560 board, a
specifically designed PCB, a Wi-Fi module, 13.56 MHz HF RFID reader, a power
supply and a shopping cart.


title: Toward a Theory of Monomial Preorders

abstract:
  In this paper we develop a theory of monomial preorders, which differ from
the classical notion of monomial orders in that they allow ties between
monomials. Since for monomial preorders, the leading ideal is less degenerate
than for monomial orders, our results can be used to study problems where
monomial orders fail to give a solution. Some of our results are new even in
the classical case of monomial orders and in the special case in which the
leading ideal defines the tangent cone.


title: Quantum Hall Drag of Exciton Superfluid in Graphene

abstract:
  Excitons are pairs of electrons and holes bound together by the Coulomb
interaction. At low temperatures, excitons can form a Bose-Einstein condensate
(BEC), enabling macroscopic phase coherence and superfluidity. An electronic
double layer (EDL), in which two parallel conducting layers are separated by an
insulator, is an ideal platform to realize a stable exciton BEC. In an EDL
under strong magnetic fields, electron-like and hole-like quasi-particles from
partially filled Landau levels (LLs) bind into excitons and condense. However,
in semiconducting double quantum wells, this magnetic-field-induced exciton BEC
has been observed only in sub-Kelvin temperatures due to the relatively strong
dielectric screening and large separation of the EDL. Here we report exciton
condensation in bilayer graphene EDL separated by a few atomic layers of
hexagonal boron nitride (hBN). Driving current in one graphene layer generates
a quantized Hall voltage in the other layer, signifying coherent superfluid
exciton transport. Owing to the strong Coulomb coupling across the atomically
thin dielectric, we find that quantum Hall drag in graphene appears at a
temperature an order of magnitude higher than previously observed in GaAs EDL.
The wide-range tunability of densities and displacement fields enables
exploration of a rich phase diagram of BEC across Landau levels with different
filling factors and internal quantum degrees of freedom. The observed robust
exciton superfluidity opens up opportunities to investigate various quantum
phases of the exciton BEC and design novel electronic devices based on
dissipationless transport.


title: Horofunctions on graphs of linear growth

abstract:
  We prove that a linear growth graph has finitely many horofunctions. This
provides a short and simple proof that any finitely generated infinite group of
linear growth is virtually cyclic.


title: On the Surjectivity of Certain Maps

abstract:
  We prove in this article the surjectivity of three maps. We prove in Theorem
$1.6$ the surjectivity of the Chinese remainder reduction map associated to the
projective space of an ideal with a given factorization into ideals whose
radicals are pairwise distinct maximal ideals. In Theorem $1.7$ we prove the
surjectivity of the reduction map of the strong approximation type for a ring
quotiented by an ideal which satisfies unital set condition. In Theorem $1.8$
we prove for Dedekind type domains which include Dedekind domains, for $k\geq
2$, the map from $k$-dimensional special linear group to the product of
projective spaces of $k$ mutually co-maximal ideals associating the $k$-rows or
$k$-columns is surjective. Finally this article leads to three interesting
questions $[1.9, 1.10, 1.11]$ mentioned in the introduction section.


title:
Boundary control of cascaded ODE-Heat equations under actuator
  saturation

abstract:
  In this paper, we consider boundary stabilization for a cascade of ODE-heat
system with state delay under actuator saturation. To stabilize the system, we
design a state feedback controller via the backstepping method and find a bound
on the domain of attraction. The latter bound is based on Lyapunov method,
whereas the exponential stability of the delayed cascaded systems is proved by
using Halanay's inequality. Numerical examples illustrate the efficiency of the
method.


title: A new look at blood shear-thinning

abstract:
  Blood viscosity decreases with shear stress, a property essential for an
efficient perfusion of the vascular tree. Shear-thinning is intimately related
to the dynamics and mutual interactions of red blood cells (RBCs), the major
constituents of blood. Our work explores RBCs dynamics under physiologically
relevant conditions of flow strength, outer fluid viscosity and volume
fraction. Our results contradict the current paradigm stating that RBCs should
align and elongate in the flow direction thanks to their membrane circulation
around their center of mass, reducing flow-lines disturbances. On the contrary,
we observe both experimentally and with simulations, rich morphological
transitions that relate to global blood rheology. For increasing shear
stresses, RBCs successively tumble, roll, deform into rolling stomatocytes and
finally adopt highly deformed and polylobed shapes even for semi-dilute volume
fractions analogous to microcirculatory values. Our study suggests that any
pathological change in plasma composition, RBCs cytosol viscosity or membrane
mechanical properties will impact the onset of shape transitions and should
play a central role in pathological blood rheology and flow behavior.


title:
Vibronic Boson Sampling: Generalized Gaussian Boson Sampling for
  Molecular Vibronic Spectra at Finite Temperature

abstract:
  Molecular vibroic spectroscopy, where the transitions involve non-trivial
Bosonic correlation due to the Duschinsky Rotation, is strongly believed to be
in a similar complexity class as Boson Sampling. At finite temperature, the
problem is represented as a Boson Sampling experiment with correlated Gaussian
input states. This molecular problem with temperature effect is intimately
related to the various versions of Boson Sampling sharing the similar
computational complexity. Here we provide a full description to this relation
in the context of Gaussian Boson Sampling. We find a hierarchical structure,
which illustrates the relationship among various Boson Sampling schemes.
Specifically, we show that every instance of Gaussian Boson Sampling with an
initial correlation can be simulated by an instance of Gaussian Boson Sampling
without initial correlation, with only a polynomial overhead. Since every
Gaussian state is associated with a thermal state, our result implies that
every sampling problem in molecular vibronic transitions, at any temperature,
can be simulated by Gaussian Boson Sampling associated with a product of vacuum
modes. We refer such a generalized Gaussian Boson Sampling motivated by the
molecular sampling problem as Vibronic Boson Sampling.

categories: quant-ph math-ph math.MP physics.comp-ph


title:
All Your Bulbs Are Belong to Us: Investigating the Current State of
  Security in Connected Lighting Systems

abstract:
  ZigBee Light Link (ZLL) is the low-power mesh network standard used by
connected lighting systems, such as Philips Hue, Osram Lightify, and GE Link.
These lighting systems are intended for residential use but also deployed in
hotels, restaurants, and industrial buildings. In this paper, we investigate
the current state of security in ZLL-based connected lighting systems. We
extend the scope of known attacks by describing novel attack procedures to show
that the ZLL standard is insecure by design. Using our penetration testing
framework, we are able to take full control over all three systems mentioned
above. Besides novel attack procedures, we also extend the intended wireless
range of max. 2 meters for configuring a ZLL device to over 30 meters, thus
making ZLL-based systems susceptible to war driving. We conclude with a
discussion about the security needs of connected lighting systems and derive
several lessons for Internet of Things security that can be learned from the
insecure design of ZLL-based connected lighting systems.


title: On the order structure of representable functionals

abstract:
  The main purpose of this paper is to investigate some natural problems
regarding the order structure of representable functionals on $^*$-algebras. We
describe the extreme points of order intervals, and give a nontrivial
sufficient condition to decide whether or not the infimum of two representable
functionals exists. To this aim we offer a suitable approach to the Lebesgue
decomposition theory, which is in complete analogy with the one developed by
Ando in the context of positive operators. This tight analogy allows to invoke
Ando's results to characterize uniqueness of the decomposition, and solve the
infimum problem over certain operator algebras.


title:
Torsion pairs in finite $2$-Calabi-Yau triangulated categories with
  maximal rigid objects

abstract:
  We give a complete classification of (co)torsion pairs in finite
$2$-Calabi-Yau triangulated categories with maximal rigid objects which are not
cluster tilting. These finite $2$-Calabi-Yau triangulated categories are
divided into two main classes: one denoted by $\mathcal{A}_{n,t}$ called of
type $A$, and the other denoted by $D_{n,t}$ called of type $D$. By using the
geometric model of cluster categories of type $A, $ or type $D$, we give a
geometric description of (co)torsion pairs in $\mathcal{A}_{n,t}$ or $D_{n,t}$
respectively, via defining the periodic Ptolemy diagrams. This allows to count
the number of (co)torsion pairs in these categories. Finally, we determine the
hearts of (co)torsion pairs in all finite $2$-Calabi-Yau triangulated
categories with maximal rigid objects which are not cluster tilting via quivers
and relations.


title: Causal Inference for Social Discrimination Reasoning

abstract:
  The discovery of discriminatory bias in human or automated decision making is
a task of increasing importance and difficulty, exacerbated by the pervasive
use of machine learning and data mining. Currently, discrimination discovery
largely relies upon correlation analysis of decisions records, disregarding the
impact of confounding biases. We present a method for causal discrimination
discovery based on propensity score analysis, a statistical tool for filtering
out the effect of confounding variables. We introduce causal measures of
discrimination which quantify the effect of group membership on the decisions,
and highlight causal discrimination/favoritism patterns by learning regression
trees over the novel measures. We validate our approach on two real world
datasets. Our proposed framework for causal discrimination has the potential to
enhance the transparency of machine learning with tools for detecting
discriminatory bias both in the training data and in the learning algorithms.


title: Conditional measures of generalized Ginibre point processes

abstract:
  The main result of this paper is that conditional measures of generalized
Ginibre point processes, with respect to the configuration in the complement of
a bounded open subset on $\mathbb{C}$, are orthogonal polynomial ensembles with
weights found explicitly. An especially simple formula for conditional measures
is obtained in the particular case of radially-symmetric determinantal point
processes, including the classical Ginibre point process.


title:
Conserved charge fluctuations are not conserved during the hadronic
  phase

abstract:
  We study the correlation between the distributions of the net-charge,
net-kaon, net-baryon and net-proton number at hadronization and after the final
hadronic decoupling by simulating ultra relativistic heavy ion collisions with
the hybrid version of the ultrarelativistic quantum molecular dynamics (UrQMD)
model. We find that due to the hadronic rescattering these distributions are
not strongly correlated. The calculated change of the correlation, during the
hadronic expansion stage, does not support the recent paradigm, namely that the
measured final moments of the experimentally observed distributions do give
directly the values of those distributions at earlier times, when the system
had been closer to the QCD crossover.


title:
Holographic fermions at strong translational symmetry breaking: a
  Bianchi-VII case study

abstract:
  It is presently unknown how strong lattice potentials influence the fermion
spectral function of the holographic strange metals predicted by the AdS/CFT
correspondence. This embodies a crucial test for the application of holography
to condensed matter experiments. We show that for one particular momentum
direction this spectrum can be computed for arbitrary strength of the effective
translational symmetry breaking potential of the so-called Bianchi-VII geometry
employing ordinary differential equations. Deep in the strange metal regime we
find rather small changes to the single-fermion response computed by the
emergent quantum critical IR, even when the potential becomes relevant in the
infra-red. However, in the regime where holographic quasi-particles occur,
defining a Fermi surface in the continuum, they acquire a finite lifetime at
any finite potential strength. At the transition from irrelevancy to relevancy
of the Bianchi potential in the deep infra-red the quasi-particle remnants
disappear completely and the fermion spectrum exhibits a purely relaxational
behaviour.


title: The e-ASTROGAM gamma-ray space mission

abstract:
  The e-ASTROGAM is a gamma-ray space mission to be proposed as the M5
Medium-size mission of the European Space Agency. It is dedicated to the
observation of the Universe with unprecedented sensitivity in the energy range
0.2 - 100 MeV, extending up to GeV energies, together with a groundbreaking
polarization capability. It is designed to substantially improve the COMPTEL
and Fermi sensitivities in the MeV-GeV energy range and to open new windows of
opportunity for astrophysical and fundamental physics space research.
e-ASTROGAM will operate as an open astronomical observatory, with a core
science focused on (1) the activity from extreme particle accelerators,
including gamma-ray bursts and active galactic nuclei and the link of jet
astrophysics to the new astronomy of gravitational waves, neutrinos, ultra-high
energy cosmic rays, (2) the high-energy mysteries of the Galactic center and
inner Galaxy, including the activity of the supermassive black hole, the Fermi
Bubbles, the origin of the Galactic positrons, and the search for dark matter
signatures in a new energy window; (3) nucleosynthesis and chemical evolution,
including the life cycle of elements produced by supernovae in the Milky Way
and the Local Group of galaxies. e-ASTROGAM will be ideal for the study of
high-energy sources in general, including pulsars and pulsar wind nebulae,
accreting neutron stars and black holes, novae, supernova remnants, and
magnetars. And it will also provide important contributions to solar and
terrestrial physics. The e-ASTROGAM telescope is optimized for the simultaneous
detection of Compton and pair-producing gamma-ray events over a large spectral
band. It is based on a very high technology readiness level for all subsystems
and includes many innovative features for the detectors and associated
electronics.


title: Subresultants in multiple roots: an extremal case

abstract:
  We provide explicit formulae for the coefficients of the order-d polynomial
subresultant of (x-\alpha)^m and (x-\beta)^n with respect to the set of
Bernstein polynomials \{(x-\alpha)^j(x-\beta)^{d-j}, \, 0\le j\le d\}. They are
given by hypergeometric expressions arising from determinants of binomial
Hankel matrices.


title:
A Non-parametric Approach to Constrain the Transfer Function in
  Reverberation Mapping

abstract:
  Broad emission lines of active galactic nuclei stem from a spatially extended
region (broad-line region, BLR) that is composed of discrete clouds and
photoionized by the central ionizing continuum. The temporal behaviors of these
emission lines are blurred echoes of the continuum variations (i.e.,
reverberation mapping, RM) and directly reflect the structures and kinematic
information of BLRs through the so-called transfer function (also known as the
velocity-delay map). Based on the previous works of Rybicki & Press (1992) and
Zu et al. (2011), we develop an extended, non-parametric approach to determine
the transfer function for RM data, in which the transfer function is expressed
as a sum of a family of relatively displaced Gaussian response functions.
Therefore, arbitrary shapes of transfer functions associated with complicated
BLR geometry can be seamlessly included, enabling us to relax the presumption
of a specified transfer function frequently adopted in previous studies and to
let it be determined by observation data. We formulate our approach in a
previously well-established framework that incorporates the statistical
modeling of the continuum variations as a damped random walk process and takes
into account the long-term secular variations which are irrelevant to RM
signals. The Application to RM data shows the fidelity of our approach.


title:
Existence and uniqueness of constant mean curvature foliations of
  general asymptotically hyperbolic 3-manifolds

abstract:
  In 1996, Huisen-Yau proved that every three-dimensional, asymptotically
Schwarzschilden manifold with positive mass is uniquely foliated by stable
spheres of constant mean curvature and they defined the center of mass using
this CMC-foliation. Rigger and Neves-Tian showed in 2004 and 2009/10 analogous
existence and uniqueness theorems for three-dimensional, asymptotically Anti-de
Sitter and asymptotically hyperbolic manifolds with positive mass aspect
function, respectively. Last year, Cederbaum-Cortier-Sakovich proved that the
CMC-foliation characterizes the center of mass in the hyperbolic setting, too.
In this article, the existence and the uniqueness of the CMC-foliation are
further generalized to the wider class of asymptotically hyperbolic manifolds
which do not necessarily have a well-defined mass aspect function, but only a
timelike mass vector. Furthermore, we prove that the CMC-foliation also
characterizes the center of mass in this more general setting.