title: Ensuring High-Quality Randomness in Cryptographic Key Generation

abstract:
  The security of any cryptosystem relies on the secrecy of the system's secret
keys. Yet, recent experimental work demonstrates that tens of thousands of
devices on the Internet use RSA and DSA secrets drawn from a small pool of
candidate values. As a result, an adversary can derive the device's secret keys
without breaking the underlying cryptosystem. We introduce a new threat model,
under which there is a systemic solution to such randomness flaws. In our
model, when a device generates a cryptographic key, it incorporates some random
values from an entropy authority into its cryptographic secrets and then proves
to the authority, using zero-knowledge-proof techniques, that it performed this
operation correctly. By presenting an entropy-authority-signed public-key
certificate to a third party (like a certificate authority or SSH client), the
device can demonstrate that its public key incorporates randomness from the
authority and is therefore drawn from a large pool of candidate values. Where
possible, our protocol protects against eavesdroppers, entropy authority
misbehavior, and devices attempting to discredit the entropy authority. To
demonstrate the practicality of our protocol, we have implemented and evaluated
its performance on a commodity wireless home router. When running on a home
router, our protocol incurs a 2.1x slowdown over conventional RSA key
generation and it incurs a 4.4x slowdown over conventional EC-DSA key
generation.


title: Stochastic Online Shortest Path Routing: The Value of Feedback

abstract:
  This paper studies online shortest path routing over multi-hop networks. Link
costs or delays are time-varying and modeled by independent and identically
distributed random processes, whose parameters are initially unknown. The
parameters, and hence the optimal path, can only be estimated by routing
packets through the network and observing the realized delays. Our aim is to
find a routing policy that minimizes the regret (the cumulative difference of
expected delay) between the path chosen by the policy and the unknown optimal
path. We formulate the problem as a combinatorial bandit optimization problem
and consider several scenarios that differ in where routing decisions are made
and in the information available when making the decisions. For each scenario,
we derive a tight asymptotic lower bound on the regret that has to be satisfied
by any online routing policy. These bounds help us to understand the
performance improvements we can expect when (i) taking routing decisions at
each hop rather than at the source only, and (ii) observing per-link delays
rather than end-to-end path delays. In particular, we show that (i) is of no
use while (ii) can have a spectacular impact. Three algorithms, with a
trade-off between computational complexity and performance, are proposed. The
regret upper bounds of these algorithms improve over those of the existing
algorithms, and they significantly outperform state-of-the-art algorithms in
numerical experiments.


title:
Modeling capital gains taxes for trading strategies of infinite
  variation

abstract:
  In this article we show that the payment flow of a linear tax on trading
gains from a security with a semimartingale price process can be constructed
for all c\`agl\`ad and adapted trading strategies. It is characterized as the
unique continuous extension of the tax payments for elementary strategies
w.r.t. the convergence "uniformly in probability". In this framework we prove
that under quite mild assumptions dividend payoffs have almost surely a
negative effect on investor's after-tax wealth if the riskless interest rate is
always positive.


title: A method for the microlensed flux variance of QSOs

abstract:
  A fast and practical method is described for calculating the microlensed flux
variance of an arbitrary source by uncorrelated stars. The required inputs are
the mean convergence and shear due to the smoothed potential of the lensing
galaxy, the stellar mass function, and the absolute square of the Fourier
transform of the surface brightness in the source plane. The mathematical
approach follows previous authors but has been generalized, streamlined, and
implemented in publicly available code. Examples of its application are given
for Dexter and Agol's inhomogeneous-disk models as well as the usual gaussian
sources. Since the quantity calculated is a second moment of the magnification,
it is only logarithmically sensitive to the sizes of very compact sources.
However, for the inferred sizes of actual QSOs, it has some discriminatory
power and may lend itself to simple statistical tests. At the very least, it
should be useful for testing the convergence of microlensing simulations.


title: The Luminous Convolution Model

abstract:
  We present a heuristic model for predicting the rotation curves of spiral
galaxies. The Luminous Convolution Model (LCM) utilizes Lorentz-type
transformations of very small changes in photon frequencies from curved
space-times to construct a model predictive of galaxy rotation profile
observations. These frequency changes are derived from the Schwarzschild
red-shift result or the analogous result from a Kerr wave equation. The LCM
maps the small curvatures of the emitter galactic frame onto those of the
receiver galactic frame, and then returns the map to the associated flat frames
where measurements are made. This treatment rests upon estimates of the
luminous matter in both the emitter and receiver galaxies to determine these
small curvatures. The LCM is tested on a sample of 23 galaxies, represented in
35 different data sets. LCM fits are compared to those of the Navarro, Frenk
and White (NFW) Dark Matter Model, and/or to the Modified Newtonian Dynamics
(MOND) model when possible. The high degree of sensitivity of the LCM to the
initial assumption of a luminous mass-to-light ratio ($M_L/L$) is shown. We
demonstrate that the LCM is successful across a wide range of spiral galaxies
for predicting the observed rotation curves.


title:
Variability Survey in the Open Cluster Stock 14 and the Surrounding
  Fields

abstract:
  We present the results of a photometric variability survey in the young open
cluster Stock 14 and the surrounding fields. In total, we detected 103 variable
stars of which 88 are new discoveries. We confirm short-period, low-amplitude
light variations in two eclipsing members of the cluster, HD 101838 and HD
101794. In addition, we find two new beta Cephei stars of which one, HD 101993,
is also a member. The sample of pulsating cluster members is supplemented by
one multimode slowly pulsating B-type star and several single-mode candidates
of this type. The other pulsating stars in our sample are mostly field stars.
In particular, we found fourteen delta Scuti stars including one gamma
Dor/delta Sct hybrid pulsator. From our UBV photometry we derived new
parameters of Stock 14: the mean reddening E(B-V) = 0.21 +/- 0.02 mag, the true
distance modulus, 11.90 +/- 0.05 mag, and the age, 20 +/- 10 Myr. Finally, we
use the new photometry to analyze changes of the 6.322-d orbital period of the
bright eclipsing binary and the member of the cluster, V346 Cen. In addition to
the known apsidal motion, we find that another effect, possibly light-time
effect in a hierarchical system of a very long orbital period, affects these
changes. The updated value of the period of apsidal motion for this system
amounts to 306 +/- 4 yr. The open cluster Stock 14 was found to be a fairly
good candidate for successful ensemble asteroseismology.


title: Measuring Long-Lived ^{13}C-Singlet State Lifetimes at Natural Abundance

abstract:
  Long-lived singlet states hold the potential to drastically extend the
lifetime of hyperpolarization in molecular tracers for in-vivo magnetic
resonance imaging (MRI). Such long lived hyperpolarization can be used for
elucidation of fundamental metabolic pathways, early diagnosis, and
optimization of clinical tests for new medication. All previous measurements of
13C singlet state lifetimes rely on costly and time consuming syntheses of 13C
labeled compounds. Here we show that it is possible to determine 13C singlet
state lifetimes by detecting the naturally abundant doubly-labeled species.
This approach allows for rapid and low cost screening of potential molecular
biomarkers bearing long-lived singlet states.


title: Status report and first results of the microwave LSW experiment at CERN

abstract:
  To detect or exclude the existence of hidden sector photons or axion like
particles, a table-top "microwaves shining through the wall" experiment has
been set up at CERN. An overview of the experimental layout is given, the
technical challenges involved are reviewed and the measurement procedure
including data-evaluation and its results to date are shown.


title: The impact of lead time forecasting on the bullwhip effect

abstract:
  In this article we quantify the bullwhip effect (the variance amplification
in replenishment orders) when demands and lead times are predicted in a simple
two-stage supply chain with one supplier and one retailer. In recent research
the impact of stochastic order lead time on the bullwhip effect is
investigated, but the effect of needing to predict / estimate the lead time is
not considered in the supply chain models. Under uncertainty conditions it is
necessary to estimate the lead time for a member of the supply chain to place
an order. We find a new cause of the bullwhip effect in the form of lead time
forecasting and we give an exact form of the bullwhip effect measure (the ratio
of variances) when demands and lead times are predicted by moving averages. In
the bullwhip effect measure we discover two terms amplifying the effect which
are the result of lead time estimation


title: Random subcube intersection graphs I: cliques and covering

abstract:
  We study random subcube intersection graphs, that is, graphs obtained by
selecting a random collection of subcubes of a fixed hypercube $Q_d$ to serve
as the vertices of the graph, and setting an edge between a pair of subcubes if
their intersection is non-empty. Our motivation for considering such graphs is
to model `random compatibility' between vertices in a large network. For both
of the models considered in this paper, we determine the thresholds for
covering the underlying hypercube $Q_d$ and for the appearance of s-cliques. In
addition we pose some open problems.


title:
A New Test for One-Way ANOVA with Functional Data and Application to
  Ischemic Heart Screening

abstract:
  We propose and study a new global test, namely the $F_{\max}$-test, for the
one-way ANOVA problem in functional data analysis. The test statistic is taken
as the maximum value of the usual pointwise $F$-test statistics over the
interval the functional responses are observed. A nonparametric bootstrap
method is employed to approximate the null distribution of the test statistic
and to obtain an estimated critical value for the test. The asymptotic random
expression of the test statistic is derived and the asymptotic power is
studied. In particular, under mild conditions, the $F_{\max}$-test
asymptotically has the correct level and is root-$n$ consistent in detecting
local alternatives. Via some simulation studies, it is found that in terms of
both level accuracy and power, the $F_{\max}$-test outperforms the Globalized
Pointwise F (GPF) test of \cite{Zhang_Liang:2013} when the functional data are
highly or moderately correlated, and its performance is comparable with the
latter otherwise. An application to an ischemic heart real dataset suggests
that, after proper manipulation, resting electrocardiogram (ECG) signals can be
used as an effective tool in clinical ischemic heart screening, without the
need of further stress tests as in the current standard procedure.


title: Flavor Oscillation Modes In Dense Neutrino Media

abstract:
  We study two-flavor neutrino oscillations in homogeneous neutrino gases in
which neutrinos and anti-neutrinos are in nearly pure weak interaction states
initially. We find that the monopole and dipole oscillation modes can trigger
flavor instabilities in the opposite neutrino mass hierarchies in a nearly
isotropic neutrino gas. For a class of simple neutrino systems we are able to
identify the normal modes of neutrino oscillations in the linear regime. Our
results provide new insights into the recently discovered multi-azimuthal angle
(MAA) instability of neutrino oscillations in supernovae.


title: Subgroups Generated by Rational Functions in Finite Fields

abstract:
  For a large prime $p$, a rational function $\psi \in F_p(X)$ over the finite
field $F_p$ of $p$ elements, and integers $u$ and $H\ge 1$, we obtain a lower
bound on the number consecutive values $\psi(x)$, $x = u+1, \ldots, u+H$ that
belong to a given multiplicative subgroup of $F_p^*$.


title: Incomparable copies of a poset in the Boolean lattice

abstract:
  Let $B_n$ be the poset generated by the subsets of $[n]$ with the inclusion
as relation and let $P$ be a finite poset. We want to embed $P$ into $B_n$ as
many times as possible such that the subsets in different copies are
incomparable. The maximum number of such embeddings is asymptotically
determined for all finite posets $P$ as $\frac{{n \choose \lfloor
n/2\rfloor}}{M(P)}$, where $M(P)$ denotes the minimal size of the convex hull
of a copy of $P$. We discuss both weak and strong (induced) embeddings.


title:
Entanglement entropy of a scalar field across a spherical boundary in
  the Einstein universe

abstract:
  A scalar field in the ground state, when partially hidden from observation by
a spherical boundary, acquires entanglement entropy $S$ proportional to the
area of the surface. This area law is well established in flat space, where it
follows almost directly from dimensional arguments. We study its validity in an
Einstein universe, whose curvature provides an additional physical parameter on
which the entropy could, in principle, depend. The surprisingly simple result
is that the entanglement entropy still scales linearly with the area. This is
supported by other observations to the effect that the entanglement entropy
arises mostly from degrees of freedom near the boundary, making it insensitive
to the large-scale geometry of the background space.


title: Finite Ball Intersection Property of the Urysohn Universal Space

abstract:
  In a paper published posthumously, P.S. Urysohn constructed a complete,
separable metric space that contains an isometric copy of every complete
separable metric space, nowadays referred to as the Urysohn universal space.
Here we study various convexity properties of the Urysohn universal space and
show that it has a finite ball intersection property. We also note that Urysohn
universal space is not hyperconvex.


title: Integrating diverse datasets improves developmental enhancer prediction

abstract:
  Gene-regulatory enhancers have been identified by many lines of evidence,
including evolutionary conservation, regulatory protein binding, chromatin
modifications, and DNA sequence motifs. To integrate these different
approaches, we developed EnhancerFinder, a novel method for predicting
developmental enhancers and their tissue specificity. EnhancerFinder uses a
two-step multiple-kernel learning approach to integrate DNA sequence motifs,
evolutionary patterns, and thousands of diverse functional genomics datasets
from a variety of cell types and developmental stages. We trained
EnhancerFinder on hundreds of experimentally verified human developmental
enhancers from the VISTA Enhancer Browser, in contrast to histone mark or
sequence-based enhancer definitions commonly used. We comprehensively evaluated
EnhancerFinder, and found that our integrative approach improves enhancer
prediction accuracy over previous approaches that consider a single type of
data. Our evaluation highlights the importance of considering information from
many tissues when predicting specific types of enhancers. We find that VISTA
enhancers active in embryonic heart are easier to predict than enhancers active
in several other tissues due to their uniquely high GC content. We applied
EnhancerFinder to the entire human genome and predicted 84,301 developmental
enhancers and their tissue specificity. These predictions provide specific
functional annotations for large amounts of human non-coding DNA, and are
significantly enriched near genes with annotated roles in their predicted
tissues and hits from genome-wide association studies. We demonstrate the
utility of our enhancer predictions by identifying and validating a novel
cranial nerve enhancer in the ZEB2 locus. Our genome-wide developmental
enhancer predictions will be freely available as a UCSC Genome Browser track.


title:
A Diagrammatic Kinetic Theory of Density Fluctuations in Simple Liquids
  in the Overdamped Limit. I. A Long Time Scale Theory for High Density

abstract:
  Starting with a formally exact diagrammatic kinetic theory for the
equilibrium correlation functions of particle density and current fluctuations
for a monatomic liquid, we develop a theory for high density liquids whose
interatomic potential has a strongly repulsive short ranged part. We assume
that interparticle collisions via this short ranged part of the potential are
sufficient to randomize the velocities of the particles on a very small time
scale compared with the fundamental time scale defined as the particle diameter
divided by the mean thermal velocity. When this is the case, the graphical
theory suggests that both the particle current correlation functions and the
memory function of the particle density correlation function evolve on two
distinct time scales, the very short time scale just mentioned and another that
is much longer than the fundamental time scale. The diagrams that describe the
motion on each of these time scales are identified. When the two time scales
are very different, a dramatic simplification of the diagrammatic theory at
long times takes place. We identify an irreducible memory function and a more
basic function, which we call the irreducible memory kernel. This latter
function evolves on the longer time scale only and determines the time
dependence of the density and current correlation functions of interest at long
times. In the following paper, a simple one-loop approximation for the
irreducible memory kernel is used to calculate correlation functions for a
Lennard-Jones fluid at high density and a variety of temperatures.


title:
Restarted inverse Born series for the Schr\"odinger problem with
  discrete internal measurements

abstract:
  Convergence and stability results for the inverse Born series [Moskow and
Schotland, Inverse Problems, 24:065005, 2008] are generalized to mappings
between Banach spaces. We show that by restarting the inverse Born series one
obtains a class of iterative methods containing the Gauss-Newton and
Chebyshev-Halley methods. We use the generalized inverse Born series results to
show convergence of the inverse Born series for the Schr\"odinger problem with
discrete internal measurements. In this problem, the Schr\"odinger potential is
to be recovered from a few measurements of solutions to the Schr\"odinger
equation resulting from a few different source terms. An application of this
method to a problem related to transient hydraulic tomography is given, where
the source terms model injection and measurement wells.


title: Extension of gyrokinetics to transport time scales

abstract:
  Gyrokinetic simulations have greatly improved our theoretical understanding
of turbulent transport in fusion devices. Most gyrokinetic models in use are
delta-f simulations in which the slowly varying radial profiles of density and
temperature are assumed to be constant for turbulence saturation times, and
only the turbulent electromagnetic fluctuations are calculated. New massive
simulations are being built to self-consistently determine the radial profiles
of density and temperature. However, these new codes have failed to realize
that modern gyrokinetic formulations, composed of a gyrokinetic Fokker-Planck
equation and a gyrokinetic quasineutrality equation, are only valid for delta-f
simulations that do not reach the longer transport time scales necessary to
evolve radial profiles. In tokamaks, due to axisymmetry, the evolution of the
axisymmetric radial electric field is a challenging problem requiring
substantial modifications to gyrokinetic treatments. In this thesis, I study
the effect of turbulence on the global electric field and plasma flows. By
studying the current conservation equation, or vorticity equation, I prove that
the long wavelength, axisymmetric flow must remain neoclassical and I show that
the tokamak is intrinsically ambipolar, i.e., the radial current is zero to a
very high order for any long wavelength radial electric field. Intrinsic
ambipolarity is the origin of the problems with the modern gyrokinetic approach
since the lower order gyrokinetic quasineutrality (if properly evaluated) is
effectively independent of the radial electric field. I propose a new
gyrokinetic formalism to solve for the global radial electric field.


title: Some normal numbers generated by arithmetic functions

abstract:
  Let $g \geq 2$. A real number is said to be g-normal if its base g expansion
contains every finite sequence of digits with the expected limiting frequency.
Let \phi denote Euler's totient function, let \sigma be the sum-of-divisors
function, and let \lambda be Carmichael's lambda-function. We show that if f is
any function formed by composing \phi, \sigma, or \lambda, then the number \[
0. f(1) f(2) f(3) \dots \] obtained by concatenating the base g digits of
successive f-values is g-normal. We also prove the same result if the inputs 1,
2, 3, \dots are replaced with the primes 2, 3, 5, \dots. The proof is an
adaptation of a method introduced by Copeland and Erdos in 1946 to prove the
10-normality of 0.235711131719\ldots.


title:
Detecting two dimensional symmetry protected topological order in a
  ground state wave function

abstract:
  Symmetry protected topological states cannot be deformed to a trivial state
so long as the symmetry is preserved, yet there is no local order parameter
that can distinguish them from a trivial state. We demonstrate how to detect
whether a two dimensional ground state has symmetry protected topological
order; the measurements play a similar role as the topological entanglement
entropy does for detecting anyons. For any finite abelian onsite symmetry, the
measurement completely determines the 3rd cohomology class that characterizes
the order. The proposed measurement is validated numerically using the infinite
density matrix renormalization group for a model with $\mathbb{Z}_2$ symmetry
protected order.


title:
A unified model for the spectrophotometric development of classical and
  recurrent novae: the role of asphericity of the ejecta

abstract:
  There is increasing evidence that the geometry, and not only the filling
factors, of nova ejecta is important in the interpretation of their spectral
and photometric developments. Ensembles of spectra and light curves have
provided general typographies. This Letter suggests how these can be
unified.The observed spread in the maximum magnitude - rate of decline (MMRD)
relation is argued to result from the range of opening angles and inclination
of the ejecta, and not only to their masses and velocities. The spectroscopic
classes can be similarly explained and linked to the behavior of the light
curves. The secondary maximum observed in some dust forming novae is a natural
consequence of the asphericity. Neither secondary ejections nor winds are
needed to explain the phenomenology. The spectrophotometric development of
classical novae can be understood within a single phenomenological model with
bipolar, although not jet-like, mass ejecta. High resolution spectropolarimetry
will be an essential analytical tool.


title: Dust properties of Lyman break galaxies in cosmological simulations

abstract:
  Recent observations have indicated the existence of dust in high-redshift
galaxies, however, the dust properties in them are still unknown. Here we
present theoretical constraints on dust properties in Lyman break galaxies
(LBGs) at z=3 by post-processing a cosmological smoothed particle hydrodynamics
simulation with radiative transfer calculations. We calculate the dust
extinction in 2800 dark matter halos using the metallicity information of
individual gas particles in our simulation. We use only bright galaxies with
rest-frame UV magnitude M_1700 < -20 mag, and study the dust size,
dust-to-metal mass ratio, and dust composition. From the comparison of
calculated color excess between B and V-band (i.e., E(B-V)) and the
observations, we constrain the typical dust size, and show that the
best-fitting dust grain size is ~ 0.05 micron, which is consistent with the
results of theoretical dust models for Type-II supernova. Our simulation with
the dust extinction effect can naturally reproduce the observed rest-frame UV
luminosity function of LBGs at z=3 without assuming an ad hoc constant
extinction value. In addition, in order to reproduce the observed mean E(B-V),
we find that the dust-to-metal mass ratio needs to be similar to that of the
local galaxies, and that the graphite dust is dominant or at least occupy half
of dust mass.


title: A family of varieties of pseudosemilattices

abstract:
  In [3], a basis of identities {u_n = v_n | n\geq 2} for the variety SPS of
all strict pseudosemilattices was determined. Each one of these identities u_n
= v_n has a peculiar 2-content D_n. In this paper we study the varieties of
pseudosemilattices defined by sets of identities, all with 2-content the same
D_n. We present here the family of all these varieties and show that each
variety from this family is defined by a single identity also with 2-content
D_n. This paper ends with the study of the inclusion relation between the
varieties of this family.


title: Madeup: A Mobile Development Environment for Programming 3-D Models

abstract:
  Constructionism is a learning theory that states that we learn more when we
construct tangible objects. In the process of building and presenting our work,
we make concrete the abstract mental models we've formed, see where they
breakdown through the feedback we receive, and revise the models accordingly.
Computer programming has long been taught under a constructionist approach
using sensory-rich contexts like robots, media, and Logo-style environments.
Now, with affordable 3-D printers in the hands of consumers, we have a new
medium in which learners may realize their computational ideas. In this
demonstration, we share a mobile development environment named Madeup, which
empowers its users to navigate 3-D space using a Logo-like imperative and
functional language. Every stop in space becomes a vertex in a 3-D model. The
generated models may be exported or uploaded to a 3-D printing service.


title: The International Pulsar Timing Array

abstract:
  The International Pulsar Timing Array (IPTA) is an organisation whose raison
d'etre is to facilitate collaboration between the three main existing PTAs (the
EPTA in Europe, NANOGrav in North America and the PPTA in Australia) in order
to realise the benefits of combined PTA data sets in reaching the goals of PTA
projects. Currently, shared data sets for 39 pulsars are available for
IPTA-based projects. Operation of the IPTA is administered by a Steering
Committee consisting of six members, two from each PTA, plus the immediate past
Chair in a non-voting capacity. A Constitution and several Agreements define
the framework for the collaboration. Web pages provide information both to
members of participating PTAs and to the general public. With support from an
NSF PIRE grant, the IPTA facilitates the organisation of annual Student
Workshops and Science Meetings. These are very valuable both in training new
students and in communicating current results from IPTA-based research.


title:
HeteSim: A General Framework for Relevance Measure in Heterogeneous
  Networks

abstract:
  Similarity search is an important function in many applications, which
usually focuses on measuring the similarity between objects with the same type.
However, in many scenarios, we need to measure the relatedness between objects
with different types. With the surge of study on heterogeneous networks, the
relevance measure on objects with different types becomes increasingly
important. In this paper, we study the relevance search problem in
heterogeneous networks, where the task is to measure the relatedness of
heterogeneous objects (including objects with the same type or different
types). A novel measure HeteSim is proposed, which has the following
attributes: (1) a uniform measure: it can measure the relatedness of objects
with the same or different types in a uniform framework; (2) a path-constrained
measure: the relatedness of object pairs are defined based on the search path
that connect two objects through following a sequence of node types; (3) a
semi-metric measure: HeteSim has some good properties (e.g., self-maximum and
symmetric), that are crucial to many data mining tasks. Moreover, we analyze
the computation characteristics of HeteSim and propose the corresponding quick
computation strategies. Empirical studies show that HeteSim can effectively and
efficiently evaluate the relatedness of heterogeneous objects.


title:
Origins of bad metal conductivity and the insulator-metal transition in
  the rare-earth nickelates

abstract:
  For most metals, increasing temperature (T) or disorder will quicken electron
scattering. This hypothesis informs the Drude model of electronic conductivity.
However, for so-called bad metals this predicts scattering times so short as to
conflict with Heisenberg's uncertainty principle. Here we introduce the
rare-earth nickelates (RNiO_3, R = rare earth) as a class of bad metals. We
study SmNiO_3 thin films using infrared spectroscopy while varying T and
disorder. We show that the interaction between lattice distortions and Ni-O
bond covalence explains both the bad metal conduction and the insulator-metal
transition in the nickelates by shifting spectral weight over the large energy
scale established by the Ni-O orbital interaction, thus enabling very low
\sigma while preserving the Drude model and without violating the uncertainty
principle.


title: Median eigenvalues of bipartite subcubic graphs

abstract:
  It is proved that the median eigenvalues of every connected bipartite graph
$G$ of maximum degree at most three belong to the interval $[-1,1]$ with a
single exception of the Heawood graph, whose median eigenvalues are
$\pm\sqrt{2}$. Moreover, if $G$ is not isomorphic to the Heawood graph, then a
positive fraction of its median eigenvalues lie in the interval $[-1,1]$. This
surprising result has been motivated by the problem about HOMO-LUMO separation
that arises in mathematical chemistry.


title: Triplet with a doubly-charged lepton at the LHC

abstract:
  We studied the signatures of an electroweak SU(2) lepton triplet which
contains a doubly charged heavy lepton. The most interesting and easily
detected final states are originating from the doubly charged lepton pair and
single production, that we analyzed at a center of mass energy of 14 TeV. We
propose useful kinematic cuts to reduce the backgrounds and computed the
integrated luminosity needed to discover or exclude the doubly charged leptons
for various masses.


title:
Charge and Color Breaking Constraints in the Minimal Supersymmetric
  Standard Model

abstract:
  The scalar potential of the Minimal Supersymmetric Standard Model (MSSM)
admits the existence of vacua with non-vanishing expectation values of
electrically and color charged fields. If such minima are deep enough, the
physical electroweak vacuum is rendered unstable by quantum tunneling. By
comparing the lifetime of the electroweak vacuum with the age of the universe,
the MSSM parameter space can be constrained. Furthermore, the appearance of
charge and color breaking minima associated with the stop sector is strongly
correlated with the Higgs mass, which has been recently measured at the Large
Hadron Collider. We carry out a metastability analysis in the stop sector of
the MSSM, improving upon previous results. We exclude parts of the parameter
space allowed by the Higgs mass measurement.


title:
Computational accelerator science needs towards laser-plasma
  accelerators for future colliders

abstract:
  Laser plasma accelerators have the potential to reduce the size of future
linacs for high energy physics by more than an order of magnitude, due to their
high gradient. Research is in progress at current facilities, including the
BELLA PetaWatt laser at LBNL, towards high quality 10 GeV beams and staging of
multiple modules, as well as control of injection and beam quality. The path
towards high-energy physics applications will likely involve hundreds of such
stages, with beam transport, conditioning and focusing. Current research
focuses on addressing physics and R&D challenges required for a detailed
conceptual design of a future collider. Here, the tools used to model these
accelerators and their resource requirements are summarized, both for current
work and to support R&D addressing issues related to collider concepts.


title: Synthetic Multiferroic Interconnects for Magnetic Logic Circuits

abstract:
  In this work, we consider the possibility of using synthetic multiferroics
comprising piezoelectric and magnetostrictive materials as an interconnect for
nano magnetic logic circuits. The proposed interconnect resembles a parallel
plate capacitor filled with a piezoelectric, where one of the plates is made of
a magnetoelastic material. The operation of the interconnect is based on the
effect of stress-mediated anisotropy modulation, where an electric field
applied across the piezoelectric material produces stress, which, in turn,
affects the anisotropy field in the magnetostrictive material. We present the
results of numerical modeling illustrating signal propagation through the
interconnect. The model combines electric and magnetic parts, where the
electric part describes the distribution of an electric field through the
piezoelectric and the magnetic part describes the change of magnetization in
the magnetoelastic layer. The model is based on the Landau-Lifshitz-Gilbert
equation with the electric field dependent anisotropy term included. The
utilization of the electro-magnetic coupling makes it possible to amplify
magnetic signal during its propagation via energy conversion from the electric
to magnetic domains. Potentially, synthetic multiferroic interconnects can be
implemented in a variety of spin-based devices ensuring reliable and low-energy
consuming data transmission. According to the estimates, the group velocity of
magnetic signals may be up to 100 km/s with energy dissipation less than aJ per
bit per 100nm. The fundamental limits and practical shortcoming of the proposed
approach are also discussed.


title:
Local Enhancement of Surface Density in the Protoplanetary Ring
  Surrounding HD 142527

abstract:
  We report ALMA observations of dust continuum, 13CO J=3--2, and C18O J=3--2
line emission toward a gapped protoplanetary disk around HD 142527. The outer
horseshoe-shaped disk shows the strong azimuthal asymmetry in dust continuum
with the contrast of about 30 at 336 GHz between the northern peak and the
southwestern minimum. In addition, the maximum brightness temperature of 24 K
at its northern area is exceptionally high at 160 AU from a star. To evaluate
the surface density in this region, the grain temperature needs to be
constrained and was estimated from the optically thick 13CO J=3--2 emission.
The lower limit of the peak surface density was then calculated to be 28 g cm-2
by assuming a canonical gas-to-dust mass ratio of 100. This finding implies
that the region is locally too massive to withstand self-gravity since Toomre's
Q <~1--2, and thus, it may collapse into a gaseous protoplanet. Another
possibility is that the gas mass is low enough to be gravitationally stable and
only dust grains are accumulated. In this case, lower gas-to-dust ratio by at
least 1 order of magnitude is required, implying possible formation of a rocky
planetary core.


title: Pulling adsorbed self-avoiding walks from a surface

abstract:
  We consider a self-avoiding walk model of polymer adsorption where the
adsorbed polymer can be desorbed by the application of a force, concentrating
on the case of the square lattice. Using series analysis methods we investigate
the behaviour of the free energy of the system when there is an attractive
potential $\epsilon$ with the surface and a force $f$ applied at the last
vertex, normal to the surface, and extract the phase boundary between the
ballistic and adsorbed phases. We believe this to be exact to graphical
accuracy. We give precise estimates of the location of the transition from the
free phase to the ballistic phase, which we find to be at $y_c=\exp(f/k_B
T_c)=1$, and from the free phase to the adsorbed phase, which we estimate to be
at $a_c=\exp(-\epsilon/k_B T_c)=1.775615 \pm 0.000005$. In addition we prove
that the phase transition from the ballistic to the adsorbed phase is first
order.


title:
Joint assembly and genetic mapping of the Atlantic horseshoe crab genome
  reveals ancient whole genome duplication

abstract:
  Horseshoe crabs are marine arthropods with a fossil record extending back
approximately 450 million years. They exhibit remarkable morphological
stability over their long evolutionary history, retaining a number of ancestral
arthropod traits, and are often cited as examples of "living fossils." As
arthropods, they belong to the Ecdysozoa}, an ancient super-phylum whose
sequenced genomes (including insects and nematodes) have thus far shown more
divergence from the ancestral pattern of eumetazoan genome organization than
cnidarians, deuterostomes, and lophotrochozoans. However, much of ecdysozoan
diversity remains unrepresented in comparative genomic analyses. Here we use a
new strategy of combined de novo assembly and genetic mapping to examine the
chromosome-scale genome organization of the Atlantic horseshoe crab Limulus
polyphemus. We constructed a genetic linkage map of this 2.7 Gbp genome by
sequencing the nuclear DNA of 34 wild-collected, full-sibling embryos and their
parents at a mean redundancy of 1.1x per sample. The map includes 84,307
sequence markers and 5,775 candidate conserved protein coding genes. Comparison
to other metazoan genomes shows that the L. polyphemus genome preserves
ancestral bilaterian linkage groups, and that a common ancestor of modern
horseshoe crabs underwent one or more ancient whole genome duplications (WGDs)
~ 300 MYA, followed by extensive chromosome fusion.


title:
Nonextensive statistics, entropic gravity and gravitational force in a
  non-integer dimensional space

abstract:
  Based on the connection between Tsallis nonextensive statistics and
fractional dimensional space, in this work we have introduced, with the aid of
Verlinde's formalism, the Newton constant in a fractal space as a function of
the nonextensive constant. With this result we have constructed a curve that
shows the direct relation between Tsallis nonextensive parameter and the
dimension of this fractal space. We have demonstrated precisely that there are
ambiguities between the results due to Verlinde's approach and the ones due to
fractional calculus formalism. We have shown precisely that these ambiguities
appear only for spaces with dimensions different from three. Hence, we believe
that this is a result in favor of our three dimensional world.


title: Spectral loci of Sturm--Liouville operators with polynomial potentials

abstract:
  We consider differential equations -y"+P(z,a)y=Ey, where P is a polynomial of
the independent variable z depending on a parameter a. The spectral locus is
the set of (a,E) such that the equation has a non-trivial solution tending to
zero on two fixed rays in the complex plane. We study the topology of the
spectral loci for polynomials P of degree 3 or 4.


title: A Model of the Mechanisms Underlying Exploratory Behaviour

abstract:
  A model of the mechanisms underlying exploratory behaviour, based on
empirical research and refined using a computer simulation, is presented. The
behaviour of killifish from two lakes, one with killifish predators and one
without, was compared in the laboratory. Plotting average activity in a novel
environment versus time resulted in an inverted-U-shaped curve for both groups;
however, the curve for killifish from the lake without predators was (1)
steeper, (2) reached a peak value earlier, (S) reached a higher peak value, and
(4) subsumed less area than the curve for killifish from the lake with
predators. We hypothesize that the shape of the exploration curve reflects a
competition between motivational subsystems that excite and inhibit exploratory
behaviour in a way that is tuned to match the affordance probabilities of the
animal's environment. A computer implementation of this model produced curves
which differed along the same four dimensions as differentiate the two
killifish curves. All four differences were reproduced in the model by tuning a
single parameter: the time-dependent component of the decay-rate of the
exploration-inhibiting subsystem.


title:
Magnetic relaxation and collective vortex creep in
  FeTe$_{0.6}$Se$_{0.4}$ single crystal

abstract:
  We study the vortex dynamics in high-quality FeTe$_{0.6}$Se$_{0.4}$ single
crystal by performing magnetization measurements of the screening current
density \emph{J}$_s$ and flux creep rate \emph{S}. Temperature dependence of
\emph{S} shows a plateau in the intermediate temperature region with a high
creep rate $\sim$ 0.03, which is interpreted in the framework of the collective
creep theory. A crossover from elastic to plastic creep is observed. The glassy
exponent and barrier height for flux creep are directly determined by extended
Maley's method. \emph{J}$_s$ with flux creep, obtained from magnetic hysteresis
loops, is successfully reproduced based on the collective creep analysis. We
also approach critical current density without flux creep by means of the
generalized inversion scheme, which proves that the $\delta$\emph{l} and
$\delta$\emph{T}$_c$ pinning coexist in FeTe$_{0.6}$Se$_{0.4}$ single crystal.


title: Concept Combination and the Origins of Complex Cognition

abstract:
  At the core of our uniquely human cognitive abilities is the capacity to see
things from different perspectives, or to place them in a new context. We
propose that this was made possible by two cognitive transitions. First, the
large brain of Homo erectus facilitated the onset of recursive recall: the
ability to string thoughts together into a stream of potentially abstract or
imaginative thought. This hypothesis is supported by a set of computational
models where an artificial society of agents evolved to generate more diverse
and valuable cultural outputs under conditions of recursive recall. We propose
that the capacity to see things in context arose much later, following the
appearance of anatomically modern humans. This second transition was brought on
by the onset of contextual focus: the capacity to shift between a minimally
contextual analytic mode of thought, and a highly contextual associative mode
of thought, conducive to combining concepts in new ways and 'breaking out of a
rut'. When contextual focus is implemented in an art-generating computer
program, the resulting artworks are seen as more creative and appealing. We
summarize how both transitions can be modeled using a theory of concepts which
highlights the manner in which different contexts can lead to modern humans
attributing very different meanings to the interpretation of one concept.


title:
Dark solitons dynamics and snake instability in superfluid Fermi gases
  trapped by an anisotropic harmonic potential

abstract:
  We present an investigation of generation, dynamics and stability of dark
solitons in anisotropic Fermi gases for a range of particle numbers and trap
aspect ratios within the framework of the order-parameter equation. We
calculate the periods of dark solitons oscillating in a trap, and find a good
agreement with the results based on the Bogoliubov-de Gennes equations. By
studying the stability of initially off-center dark solitons under various
tight transverse confinements in the unitarity limit, we not only give the
criterion of dynamical stability, but also find that the soliton and a hybrid
of solitons and vortex rings can be characterized by different oscillation
period. The stability criterion is not fulfilled by the parameters of the
recent experiment [Nature {\bf 499}, 426 (2013)]. Therefore, instead of a very
slow oscillation as observed experimentally, we find that the created dark
soliton undergoes a transverse snake instability with collapsing into vortex
rings, which propagate in soliton-like manner with a nearly two times larger
period.


title: Continuous cluster categories of type D

abstract:
  We construct continuous Frobenius categories of type $D$. The stable
categories of these Frobenius categories are cluster categories which contain
the standard cluster categories of type $D_n$. When $n=\infty$, maximal
compatible sets of indecomposable objects are laminations of the punctured
disk. Discrete laminations are clusters. This new construction is topological
and it also gives an algebraic interpretation of the "tagged arcs" which occur
in Schiffler's geometric description of clusters of type $D_n$.


title: Graceful exit from Higgs G-inflation

abstract:
  Higgs G-inflation is a Higgs inflation model with a generalized Galileon term
added to the standard model Higgs field, which realizes inflation compatible
with observations. Recently, it was claimed that the generalized Galileon term
induces instabilities during the oscillation phase, and that the simplest Higgs
G-inflation model inevitably suffers from this problem. In this paper, we
extend the original Higgs G-inflation Lagrangian to a more general form, namely
introducing a higher-order kinetic term and generalizing the form of the
Galileon term, so that the Higgs field can oscillate after inflation without
encountering instabilities. Moreover, it accommodates a large region of the n_s
- r plane, most of which is consistent with current observations, leading us to
expect the detection of B-mode polarization in the cosmic microwave background
in the near future.


title:
Impurity-induced Dicke quantum phase transition in an impurity-doped
  cavity-Bose-Einstein condensate

abstract:
  We present a new generalized Dicke model, an impurity-doped Dicke model
(IDDM), by the use of an impurity-doped cavity-Bose-Einstein condensate. It is
shown that the impurity atom can induce Dicke quantum phase transition (QPT)
from the normal phase to superradiant phase at a critic value of the impurity
population. It is found that the IDDM exhibits continuous Dicke QPT with an
infinite number of critical points, which is significantly different from that
observed in the standard Dicke model with only one critical point. It is
revealed that the impurity-induced Dicke QPT can happen in an arbitrary
coupling regime of the cavity field and atoms while the Dicke QPT in the
standard Dicke model occurs only in the strong coupling regime of the cavity
field and atoms. This opens a way to observe the Dicke QPT in the intermediate
and even weak coupling regime of the cavity field and atoms.


title: The Excitation of HCN and HCO+ in the Galactic Center Circumnuclear Disk

abstract:
  We present new observations of HCN and HCO+in the circumnuclear disk (CND) of
the Galaxy, obtained with the APEX telescope. We have mapped emission in
rotational lines of HCN J = 3-2, 4-3, and 8-7, as well as HCO+ J = 3-2, 4-3,
and 9-8. We also present spectra of H13CN and H13CO+ toward four positions in
the CND. Using the intensities of all of these lines, we present an excitation
analysis for each molecule using the non-LTE radiative transfer code RADEX. The
HCN line intensities toward the northern emission peak of the CND yield log
densities (cm^-3) of 5.6 +0.6/-0.6, consistent with those measured with HCO+,
as well as with densities recently reported for this region from an excitation
analysis of highly-excited lines of CO. These densities are too low for the gas
to be tidally stable. The HCN line intensities toward the CND's southern
emission peak yield log densities of 6.5 +0.5/-0.7, higher than densities
determined for this part of the CND with CO (although the densities measured
with HCO+, log [n] = 5.6 +0.2/-0.2, are more consistent with the CO-derived
densities). We investigate whether the higher densities we infer from HCN are
affected by mid-infrared radiative excitation of this molecule through its 14
micron rovibrational transitions. We find that radiative excitation is
important for at least one clump in the CND, where we additionally detect the J
= 4-3, v2=1 vibrationally-excited transition of HCN, which is excited by dust
temperatures of > 125-150 K. If this hot dust is present elsewhere in the CND,
it could lower our inferred densities, potentially bringing the HCN-derived
densities for the Southern part of the CND into agreement with those measured
using HCO+ and CO. Additional sensitive, high-resolution submillimeter
observations, as well as mid-infrared observations, would be useful to assess
the importance of the radiative excitation of HCN in this environment.


title: Non-Minimal Higher-Spin DS4/CFT3

abstract:
  We conjecture that the level k U(N) Chern-Simons theory coupled to free
anticommuting scalar matter in the fundamental is dual to non-minmal
higher-spin Vasiliev gravity in dS4 with parity-violating phase \theta0 = \pi
N/2k and Neumann boundary conditions for the scalar. Related conjectures are
made for fundamental commuting spinor matter and critical theories. This
generalizes a recent conjecture relating the minimal Type A Vasiliev theory in
dS4 to the Sp(N) model with fundamental real anti-commuting scalars.


title: The Beer Can Theory of Creativity

abstract:
  This chapter explores the cognitive mechanisms underlying the emergence and
evolution of cultural novelty. Section Two summarizes the rationale for viewing
the process by which the fruits of the mind take shape as they spread from one
individual to another as a form of evolution, and briefly discusses a computer
model of this process. Section Three presents theoretical and empirical
evidence that the sudden proliferation of human culture approximately two
million years ago began with the capacity for creativity: that is, the ability
to generate novelty strategically and contextually. The next two sections take
a closer look at the creative process. Section Four examines the mechanisms
underlying the fluid, associative thought that constitutes the inspirational
component of creativity. Section Five explores how that initial flicker of
inspiration crystallizes into a solid, workable idea as it gets mulled over in
light of the various constraints and affordances of the world into which it
will be born. Finally, Section Six wraps things up with a few speculative
thoughts about the overall unfolding of this evolutionary process.


title:
Vertices of Spectrahedra arising from the Elliptope, the Theta Body, and
  Their Relatives

abstract:
  Utilizing dual descriptions of the normal cone of convex optimization
problems in conic form, we characterize the vertices of semidefinite
representations arising from Lov\'asz theta body, generalizations of the
elliptope, and related convex sets. Our results generalize vertex
characterizations due to Laurent and Poljak from the 1990's. Our approach also
leads us to nice characterizations of strict complementarity and to connections
with some of the related literature.


title: Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter

abstract:
  Four-point one-loop nonsupersymmetric pure Yang-Mills amplitudes with the
duality between color and kinematics manifest have been constructed in previous
work. Here, we extend the discussion to fermions and scalars circulating in the
loop with all external gluons. This gives another nontrivial loop-level example
showing that the duality between color and kinematics holds in
nonsupersymmetric gauge theory. The construction is valid in any spacetime
dimension and written in terms of formal polarization vectors. We also convert
these expressions into a four-dimensional form with explicit external helicity
states. Using this, we compare our results to one-loop duality-satisfying
amplitudes that are already present in literature.


title:
Invariants for critical dimension groups and permutation-Hermite
  equivalence

abstract:
  Motivated by classification, up to order isomorphism, of some dense subgroups
of Euclidean space that are free of minimal rank, we obtain apparently new
invariants for an equivalence relation (intermediate between Hermite and Smith)
on integer matrices. These then participate in the classification of the dense
subgroups. The same equivalence relation has appeared before, in the
classification of lattice simplices. We discuss this equivalence relation
(called {\it permutation-Hermite}), obtain fairly fine invariants for it, and
have density results, and some formulas counting the numbers of equivalence
classes for fixed determinant.


title: Homology of curves and surfaces in closed hyperbolic 3-manifolds

abstract:
  Among other things, we prove the following two topologcal statements about
closed hyperbolic 3-manifolds. First, every rational second homology class of a
closed hyperbolic 3-manifold has a positve integral multiple represented by an
oriented connected closed $\pi_1$-injectively immersed quasi-Fuchsian
subsurface. Second, every rationally null-homologous, $\pi_1$-injectively
immersed oriented closed 1-submanifold in a closed hyperbolic 3-manifold has an
equidegree finite cover which bounds an oriented compact $\pi_1$-injective
immersed quasi-Fuchsian subsurface. In part, we exploit techniques developed
earlier by Kahn and Markovic about good pants constructions, but we only
distill geometric and topological ingredients from their papers so no hard
analysis is involved in this paper.


title:
Formation of singularities in solutions to the compressible radiation
  hydrodynamics equations with vacuum

abstract:
  We study the Cauchy problem for multi-dimensional compressible radiation
hydrodynamics equations with vacuum. First, we present some sufficient
conditions on the blow-up of smooth solutions in multi-dimensional space. Then,
we obtain the invariance of the support of density for the smooth solutions
with compactly supported initial mass density by the property of the system
under the vacuum state. Based on the above-mentioned results, we prove that we
cannot get a global classical solution, no matter how small the initial data
are, as long as the initial mass density is of compact support. Finally, we
will see that some of the results that we obtained are still valid for the
isentropic flows with degenerate viscosity coefficients as well as 1-D case.


title:
On regular solutions of the 3-D compressible isentropic Euler-Boltzmann
  equations with vacuum

abstract:
  In this paper, we discuss the Cauchy Problem for the compressible isentropic
Euler-Boltzmann equations with vacuum in radiation hydrodynamics. Firstly, we
establish the local existence of regular solutions by the fundamental methods
in the theory of quasi-linear symmetric hyperbolic systems under some physical
assumptions. Then we give the non-global existence of regular solutions caused
by the effect of vacuum for $1<\gamma\leq 3$. Finally, we extend our result to
the initial-boundary value problem under some suitable boundary conditions.
These blow-up results tell us that the radiation cannot prevent the formation
of singularities caused by the appearance of vacuum.


title:
An inverse problem of identifying the radiative coefficient in a
  degenerate parabolic equation

abstract:
  This work investigates an inverse problem of determining the radiative
coefficient in a degenerate parabolic equation from the final overspecified
data. Being different from other inverse coefficient problems in which the
principle coefficients are assumed to be strictly positive definite, the
mathematical model discussed in the paper belongs to the second order parabolic
equations with non-negative characteristic form, namely that there exists
degeneracy on the lateral boundaries of the domain. The uniqueness of the
solution is obtained by the contraction mapping principle. Based on the optimal
control framework, the problem is transformed into an optimization problem and
the existence of the minimizer is established. After the necessary conditions
which must be satisfied by the minimizer are deduced, the uniqueness and
stability of the minimizer are proved. By minor modification of the cost
functional and some \emph{a-priori} regularity conditions imposed on the
forward operator, the convergence of the minimizer for the noisy input data is
obtained in the paper. The results obtained in the paper are interesting and
useful, and can be extended to more general degenerate parabolic equations.


title:
Position reconstruction in fission fragment detection using the low
  pressure MWPC technique for the JLab experiment E02-017

abstract:
  When a lambda hyperon was embedded in a nucleus, it can form a hypernucleus.
The lifetime and its mass dependence of stable hypernuclei provide information
about the weak decay of lambda hyperon inside nuclear medium. This work will
introduce the Jefferson Lab experiment (E02-017) which aims to study the
lifetime of the heavy hypernuclei using a specially developed fission fragment
detection technique, a multi-wire proportional chamber operated under low gas
pressure (LPMWPC). Presented here are the method and performance of the
reconstruction of fission position on the target foil, the separation of target
materials at different regions and the comparison and verification with the
Mote Carlo simulation.


title:
More Constructions of Differentially 4-uniform Permutations on
  $\gf_{2^{2k}}$

abstract:
  Differentially 4-uniform permutations on $\gf_{2^{2k}}$ with high
nonlinearity are often chosen as Substitution boxes in both block and stream
ciphers. Recently, Qu et al. introduced a class of functions, which are called
preferred functions, to construct a lot of infinite families of such
permutations \cite{QTTL}. In this paper, we propose a particular type of
Boolean functions to characterize the preferred functions. On the one hand,
such Boolean functions can be determined by solving linear equations, and they
give rise to a huge number of differentially 4-uniform permutations over
$\gf_{2^{2k}}$. Hence they may provide more choices for the design of
Substitution boxes. On the other hand, by investigating the number of these
Boolean functions, we show that the number of CCZ-inequivalent differentially
4-uniform permutations over $\gf_{2^{2k}}$ grows exponentially when $k$
increases, which gives a positive answer to an open problem proposed in
\cite{QTTL}.


title: Good measures for non-simple dimension groups

abstract:
  Akin's notion of good measure, introduced to classify measures on Cantor sets
has been translated to dimension groups and corresponding traces by Bezuglyi
and the author, but emphasizing the simple (minimal dynamical system) case.
Here we deal with non-simple (non-minimal) dimension groups. In particular,
goodness of tensor products of large classes of non-good traces (measures) is
established. We also determine the pure faithful traces on the dimension groups
associated to xerox type actions on AF C*-algebras; the criteria turn out to
involve algebraic geometry and number theory. We also deal with a coproduct of
dimension groups, wherein, despite expectations, goodness of direct sums is
nontrivial. In addition, we verify a conjecture of [BeH] concerning good
subsets of Choquet simplices, in the finite-dimensional case.


title: Centrally Image partition Regularity near 0

abstract:
  The notion of Image partition regularity near zero was first introduced by De
and Hindman. It was shown there that like image partition regularity over
$\mathbb{N}$ the main source of infinite image partition regular matrices near
zero are Milliken- Taylor matrices. But Milliken- Taylor matrices are far apart
to have images in central sets. In this regard the notion of centrally image
partition regularity was introduced. In the present paper we propose the notion
centrally partition regular matrices near zero for dense sub semigroup of
$(\ber^+,+)$ which are different from centrally partition regular matrices
unlike finite cases.


title:
Global Well-Posedness of the Landau-Lifshitz-Gilbert equation for
  initial data in Morrey space

abstract:
  We establish the global well-posedness of the Landau-Lifshitz-Gilbert
equation in $\mathbb R^n$ for any initial data ${\bf m}_0\in H^1_*(\mathbb
R^n,\mathbb S^2)$ whose gradient belongs to the Morrey space $M^{2,2}(\mathbb
R^n)$ with small norm $\displaystyle\|\nabla {\bf m}_0\|_{M^{2,2}(\mathbb
R^n)}$. The method is based on priori estimates of a dissipative Schr\"odinger
equation of Ginzburg-Landau types obtained from the Landau-Lifshitz-Gilbert
equation by the moving frame technique.


title: Black hole remnants due to Planck-length deformed QFT

abstract:
  It was argued in a number of papers that the gravitational potential
calculated by using the modified QFT that follows from the Planck-length
deformed uncertainty relation implies the existence of black-hole remnants of
the order of the Planck-mass. Usually this sort of QFTs are endowed with two
specific features, the modified dispersion relation, which is universal, and
the concept of minimum length, which, however, is not universal. While the
emergence of the minimum-length most readily leads to the idea of the black
hole remnants, here we examine the behaviour of the potential that follows from
the Planck-length deformed QFT in absence of the minimum length and show that
it might also lead to the formation of the Planck mass black holes in some
particular cases. The calculations are made for higher-dimensional case as
well. Such black hole remnants might be considered as a possible candidates for
the dark-matter.


title:
Rip Singularity Scenario and Bouncing Universe in a Chaplygin Gas Dark
  Energy Model

abstract:
  We choose a modified Chaplygin Gas Dark energy model for considering some its
cosmological behaviors. In this regards, we study different Rip singularity
scenarios and bouncing model of the universe in context of this model. We show
that by using suitable parameters can explain some cosmological aspects of the
model.


title: Quorum Sensing for Regenerating Codes in Distributed Storage

abstract:
  Distributed storage systems with replication are well known for storing large
amount of data. A large number of replication is done in order to provide
reliability. This makes the system expensive. Various methods have been
proposed over time to reduce the degree of replication and yet provide same
level of reliability. One recently suggested scheme is of Regenerating codes,
where a file is divided in to parts which are then processed by a coding
mechanism and network coding to provide large number of parts. These are stored
at various nodes with more than one part at each node. These codes can generate
whole file and can repair a failed node by contacting some out of total
existing nodes. This property ensures reliability in case of node failure and
uses clever replication. This also optimizes bandwidth usage. In a practical
scenario, the original file will be read and updated many times. With every
update, we will have to update the data stored at many nodes. Handling multiple
requests at the same time will bring a lot of complexity. Reading and writing
or multiple writing on the same data at the same time should also be prevented.
In this paper, we propose an algorithm that manages and executes all the
requests from the users which reduces the update complexity. We also try to
keep an adequate amount of availability at the same time. We use a voting based
mechanism and form read, write and repair quorums. We have also done
probabilistic analysis of regenerating codes.


title: Pilot Beam Pattern Design for Channel Estimation in Massive MIMO Systems

abstract:
  In this paper, the problem of pilot beam pattern design for channel
estimation in massive multiple-input multiple-output systems with a large
number of transmit antennas at the base station is considered, and a new
algorithm for pilot beam pattern design for optimal channel estimation is
proposed under the assumption that the channel is a stationary Gauss-Markov
random process. The proposed algorithm designs the pilot beam pattern
sequentially by exploiting the properties of Kalman filtering and the
associated prediction error covariance matrices and also the channel statistics
such as spatial and temporal channel correlation. The resulting design
generates a sequentially-optimal sequence of pilot beam patterns with low
complexity for a given set of system parameters. Numerical results show the
effectiveness of the proposed algorithm.


title: Observations of Chiral Odd GPDs and their Implications

abstract:
  Our original suggestion to investigate exclusive $\pi^0$ electroproduction as
a method for extracting the tensor charge, transversity, and other quantities
related to chiral odd generalized parton distributions from cross section and
asymmetry data is reviewed. We explain some of the details of the process: {\it
i)} the connection between the helicity description and the cartesian basis;
{\it ii)} the dependence on the momentum transfer squared, $Q^2$, and {\it
iii)} the angular momentum, parity, and charge conjugation constraints
($J^{PC}$ quantum numbers).


title: Colloquium: Mechanical formalisms for tissue dynamics

abstract:
  The understanding of morphogenesis in living organisms has been renewed by
tremendous progressin experimental techniques that provide access to
cell-scale, quantitative information both on theshapes of cells within tissues
and on the genes being expressed. This information suggests that
ourunderstanding of the respective contributions of gene expression and
mechanics, and of their crucialentanglement, will soon leap forward.
Biomechanics increasingly benefits from models, which assistthe design and
interpretation of experiments, point out the main ingredients and assumptions,
andultimately lead to predictions. The newly accessible local information thus
calls for a reflectionon how to select suitable classes of mechanical models.
We review both mechanical ingredientssuggested by the current knowledge of
tissue behaviour, and modelling methods that can helpgenerate a rheological
diagram or a constitutive equation. We distinguish cell scale ("intra-cell")and
tissue scale ("inter-cell") contributions. We recall the mathematical framework
developpedfor continuum materials and explain how to transform a constitutive
equation into a set of partialdifferential equations amenable to numerical
resolution. We show that when plastic behaviour isrelevant, the dissipation
function formalism appears appropriate to generate constitutive equations;its
variational nature facilitates numerical implementation, and we discuss
adaptations needed in thecase of large deformations. The present article
gathers theoretical methods that can readily enhancethe significance of the
data to be extracted from recent or future high throughput
biomechanicalexperiments.

categories: physics.bio-ph cond-mat.soft physics.med-ph q-bio.CB


title:
Coefficient estimates and the Fekete-Szeg\H o problem for certain
  classes of polyharmonic mappings

abstract:
  We give coefficient estimates for a class of close-to-convex harmonic
mappings, and discuss the Fekete-Szeg\H{o} problem of it. We also introduce two
classes of polyharmonic mappings $\mathcal{HS}_{p}$ and $\mathcal{HC}_{p}$,
consider the starlikeness and convexity of them, and obtain coefficient
estimates on them. Finally, we give a necessary condition for a mapping $F$ to
be in the class $\mathcal{HC}_{p}$.


title: Face Verification Using Boosted Cross-Image Features

abstract:
  This paper proposes a new approach for face verification, where a pair of
images needs to be classified as belonging to the same person or not. This
problem is relatively new and not well-explored in the literature. Current
methods mostly adopt techniques borrowed from face recognition, and process
each of the images in the pair independently, which is counter intuitive. In
contrast, we propose to extract cross-image features, i.e. features across the
pair of images, which, as we demonstrate, is more discriminative to the
similarity and the dissimilarity of faces. Our features are derived from the
popular Haar-like features, however, extended to handle the face verification
problem instead of face detection. We collect a large bank of cross-image
features using filters of different sizes, locations, and orientations.
Consequently, we use AdaBoost to select and weight the most discriminative
features. We carried out extensive experiments on the proposed ideas using
three standard face verification datasets, and obtained promising results
outperforming state-of-the-art.


title:
Higher symmetries of cotangent coverings for Lax-integrable
  multi-dimensional partial differential equations and Lagrangian deformations

abstract:
  We present examples of Lax-integrable multi-dimensional systems of partial
differential equations with higher local symmetries. We also consider
Lagrangian deformations of these equations and construct variational bivectors
on them.


title:
Strong-field ionization of He by elliptically polarized light in
  attoclock configuration

abstract:
  We perform time-dependent calculations of strong-field ionization of He by
elliptically polarized light in configuration of recent attoclock measurements
of Boge {\em et al} [PRL {\bf 111}, 103003 (2013)]. By solving a 3D
time-dependent Schr\"odinger equation, we obtain the angular offset $\theta_m$
of the maximum in the photoelectron momentum distribution in the polarization
plane relative to the position predicted by the strong field approximation.
This offset is used in attoclock measurements to extract the tunneling time.
Our calculations clearly support the set of experimental angular offset values
obtained with the use of non-adiabatic calibration of the {\em in situ} field
intensity, and disagree with an alternative set calibrated adiabatically. These
findings are in contrast with the conclusions of Boge {\em et al} who found a
qualitative agreement of their semiclassical calculations with the adiabatic
set of experimental data. This controversy may complicate interpretation of the
recent atto-clock measurements.


title:
A Note on Broadcast Channels with Stale State Information at the
  Transmitter

abstract:
  This paper shows that the Maddah-Ali--Tse (MAT) scheme which establishes the
symmetric capacity of two example broadcast channels with strictly causal state
information at the transmitter is a simple special case of the
Shayevitz--Wigger scheme for the broadcast channel with generalized feedback,
which involves block Markov coding, compression, superposition coding, Marton
coding, and coded time sharing. Focusing on the class of symmetric broadcast
channels with state, we derive an expression for the maximum achievable
symmetric rate using the Shayevitz--Wigger scheme. We show that the MAT results
can be recovered by evaluating this expression for the special case in which
superposition coding and Marton coding are not used. We then introduce a new
broadcast channel example that shares many features of the MAT examples. We
show that another special case of our maximum symmetric rate expression in
which superposition coding is also used attains a higher symmetric rate than
the MAT scheme. The symmetric capacity of this example is not known, however.


title:
Collapsing Schr\"odinger Cats in the Density Matrix Renormalization
  Group

abstract:
  In this paper, we propose a modified Density Matrix Renormalization Group
(DMRG) algorithm to preferentially select minimum entropy states (minimally
entangled states) in finite systems with asymptotic ground state degeneracy.
The algorithm adds a "quench" process to the conventional DMRG method, which
mimics the decoherence of physical systems, and collapses non-locally entangled
states such as Schr\"odinger cats. We show that the method works for
representative models with ground state degeneracy arising from either
topological order or spontaneous discrete symmetry breaking. In the minimal
entropy states thus obtained, properties associated with thermodynamic limit,
such as topological entanglement entropy and magnetic order parameters, can be
obtained directly and efficiently.


title: Optimal Hybrid Channel Allocation:Based On Machine Learning Algorithms

abstract:
  Recent advances in cellular communication systems resulted in a huge increase
in spectrum demand. To meet the requirements of the ever-growing need for
spectrum, efficient utilization of the existing resources is of utmost
importance. Channel Allocation, has thus become an inevitable research topic in
wireless communications. In this paper, we propose an optimal channel
allocation scheme, Optimal Hybrid Channel Allocation (OHCA) for an effective
allocation of channels. We improvise upon the existing Fixed Channel Allocation
(FCA) technique by imparting intelligence to the existing system by employing
the multilayer perceptron technique.


title: Decompositions of Triangle-Dense Graphs

abstract:
  High triangle density -- the graph property stating that a constant fraction
of two-hop paths belong to a triangle -- is a common signature of social
networks. This paper studies triangle-dense graphs from a structural
perspective. We prove constructively that significant portions of a
triangle-dense graph are contained in a disjoint union of dense, radius 2
subgraphs. This result quantifies the extent to which triangle-dense graphs
resemble unions of cliques. We also show that our algorithm recovers planted
clusterings in approximation-stable k-median instances.


title:
Long time behavior of solutions of a reaction-diffusion equation on
  unbounded intervals with Robin boundary conditions

abstract:
  We study the long time behavior, as $t\to\infty$, of solutions of $$ \left\{
\begin{array}{ll} u_t = u_{xx} + f(u), & x>0, \ t >0,\\ u(0,t) = b u_x(0,t), &
t>0,\\ u(x,0) = u_0 (x)\geqslant 0 , & x\geqslant 0, \end{array} \right. $$
where $b\geqslant 0$ and $f$ is an unbalanced bistable nonlinearity. By
investigating families of initial data of the type $\{ \sigma \phi \}_{\sigma
>0}$, where $\phi$ belongs to an appropriate class of nonnegative compactly
supported functions, we exhibit the sharp threshold between vanishing and
spreading. More specifically, there exists some value $\sigma^*$ such that the
solution converges uniformly to 0 for any $0 < \sigma < \sigma^*$, and locally
uniformly to a positive stationary state for any $ \sigma > \sigma^*$. In the
threshold case $\sigma= \sigma^*$, the profile of the solution approaches the
symmetrically decreasing ground state with some shift, which may be either
finite or infinite. In the latter case, the shift evolves as $C \ln t$
where~$C$ is a positive constant we compute explicitly, so that the solution is
traveling with a pulse-like shape albeit with an asymptotically zero speed.
Depending on $b$, but also in some cases on the choice of the initial datum, we
prove that one or both of the situations may happen.


title:
Representations of Hopf Ore extensions of group algebras and pointed
  Hopf algebras of rank one

abstract:
  In this paper, we study the representation theory of Hopf-Ore extensions of
group algebras and pointed Hopf algebras of rank one over an arbitrary field
$k$. Let $H=kG(\chi, a,\d)$ be a Hopf-Ore extension of $kG$ and $H'$ a rank one
quotient Hopf algebra of $H$, where $k$ is a field, $G$ is a group, $a$ is a
central element of $G$ and $\chi$ is a $k$-valued character for $G$ with
$\chi(a)\neq 1$. We first show that the simple weight modules over $H$ and $H'$
are finite dimensional. Then we describe the structures of all simple weight
modules over $H$ and $H'$, and classify them. We also consider the
decomposition of the tensor product of two simple weight modules over $H'$ into
the direct sum of indecomposable modules. Furthermore, we describe the
structures of finite dimensional indecomposable weight modules over $H$ and
$H'$, and classify them. Finally, when $\chi(a)$ is a primitive $n$-th root of
unity for some $n>2$, we determine all finite dimensional indecomposable
projective objects in the category of weight modules over $H'$.


title: Entropic uncertainty relations under the relativistic motion

abstract:
  The uncertainty principle bounds our ability to simultaneously predict two
incompatible observables of a quantum particle. Assisted by a quantum memory to
store the particle, this uncertainty could be reduced and quantified by a new
Entropic Uncertainty Relation (EUR). In this Letter, we explore how the
relativistic motion of the system would affect the EUR in two sample scenarios.
First, we show that the Unruh effect of an accelerating particle would surely
increase the uncertainty if the system and particle entangled initially. On the
other hand, the entanglement could be generated from nonuniform motion once the
Unruh decoherence is prevented by utilizing the cavity. We show that, in a
uncertainty game between an inertial cavity and a nonuniformly accelerated one,
the uncertainty evolves periodically with respect to the duration of
acceleration segment. Therefore, with properly chosen cavity parameters, the
uncertainty bound could be protected. Implications of our results for
gravitation are also discussed.


title:
Pair Production of New Heavy Leptons with $U(1)'$ Charge at Linear
  Colliders

abstract:
  We study the pair production of new heavy leptons within a new $U(1)'$
symmetry extension of the Standard Model. Because of the new symmetry, the
production and decay modes of the new heavy leptons would be different from
those of three families of the standard model. The pair production cross
sections depending on the mixing parameter and the mass of heavy leptons have
been calculated for the center of mass energies of $0.5$ TeV, $1$ TeV and $3$
TeV. The accessible ranges of the parameters have been obtained for different
luminosity projections at linear colliders. We find the sensitivity to the
range of mixing parameter $-1<x<1$ for the mass range $M_{l'}<800$ GeV at
$\sqrt{s}=3$ TeV and $L_{int}=100$ fb$^{-1}$


title:
I hear, I forget. I do, I understand: a modified Moore-method
  mathematical statistics course

abstract:
  Moore introduced a method for graduate mathematics instruction that consisted
primarily of individual student work on challenging proofs (Jones, 1977). Cohen
(1982) described an adaptation with less explicit competition suitable for
undergraduate students at a liberal arts college. This paper details an
adaptation of this modified Moore-method to teach mathematical statistics, and
describes ways that such an approach helps engage students and foster the
teaching of statistics.
  Groups of students worked a set of 3 difficult problems (some theoretical,
some applied) every two weeks. Class time was devoted to coaching sessions with
the instructor, group meeting time, and class presentations. R was used to
estimate solutions empirically where analytic results were intractable, as well
as to provide an environment to undertake simulation studies with the aim of
deepening understanding and complementing analytic solutions. Each group
presented comprehensive solutions to complement oral presentations. Development
of parallel techniques for empirical and analytic problem solving was an
explicit goal of the course, which also attempted to communicate ways that
statistics can be used to tackle interesting problems. The group problem
solving component and use of technology allowed students to attempt much more
challenging questions than they could otherwise solve.


title: Estimates of the gaps between consecutive eigenvalues of Laplacian

abstract:
  By the calculation of the gap of the consecutive eigenvalues of $\Bbb S^n$
with standard metric, using the Weyl's asymptotic formula, we know the order of
the upper bound of this gap is $k^{\frac{1}{n}}.$ We conjecture that this order
is also right for general Dirichlet problem of the Laplace operator, which is
optimal if this conjecture holds, obviously. In this paper, using new method,
we solve this conjecture in the Euclidean space case intrinsically. We think
our method is valid for the case of general Riemannian manifolds and give some
examples directly.


title: Solution to the Isotropy Problem for Cosmological Hidden Vector Models

abstract:
  Gauge bosons associated to new gauge symmetries under which the standard
model particles are not charged are predicted in many extensions of the
standard model of particles and interactions. We show that under very general
conditions, the average energy-momentum tensor of these rapidly oscillating
vector fields is isotropic for any locally inertial observer. This result has a
fundamental importance in order to consider coherent vector fields as a viable
alternative to support models of dark matter, dark energy or inflation.


title: Asymmetries in Three-Body Decays of the B-Meson

abstract:
  We suggest to analyze the three-body decays B+- to $K+- p pbar$ and to $K+-
\pi \pi$ by means of two different asymmetries. The former asymmetry, a T-odd
one, vanishes and is proposed as a test for excluding biases in the
experimental data. The latter asymmetry, which is T-even, may be useful in
singling out time reversal odd contributions to the decay, and, possibly, hints
at physics beyond the standard model.


title: Superfluid phases of spin-1 bosons in cubic optical lattice

abstract:
  We analyze theoretically the emergence of different superfluid phases of
spin-1 bosons in a three-dimensional cubic optical lattice by generalizing the
recently developed Ginzburg-Landau theory for the Bose-Hubbard model to a
spinor Bose gas. In particular at zero temperature, our theory distinguishes
within its validity range between various superfluid phases for an
anti-ferromagnetic interaction with an external magnetic field. In addition, we
determine that the superfluid-Mott insulator phase transition is of second
order and that the transitions between the respective superfluid phases with
anti-ferromagnetic interaction can be both of first and second order.


title: Nonlinear nonhomogeneous Dirichlet equations with a superlinear reaction

abstract:
  We consider a nonlinear elliptic Dirichlet equation driven by a nonlinear
nonhomogeneous differential operator involving a Carath\'{e}odory reaction
which is $(p-1)$-superlinear but does not satisfy the Ambrosetti-Rabinowitz
condition. First we prove a three-solutions-theorem extending an earlier
classical result of Wang (Ann. Inst. H. Poincar\'e Anal. Non Lin\'eaire 8
(1991), no. 1, 43--57). Subsequently, by imposing additional conditions on the
reaction $f(x,\cdot)$, we produce two more nontrivial constant sign solutions
and a nodal solution for a total of five nontrivial solutions. In the special
case of $(p,2)$-equations we prove the existence of a second nodal solution for
a total of six nontrivial solutions given with complete sign information.
Finally, we study a nonlinear eigenvalue problem and we show that the problem
has at least two nontrivial positive solutions for all parameters $\lambda>0$
sufficiently small where one solution vanishes in the Sobolev norm as $\lambda
\to 0^+$ and the other one blows up (again in the Sobolev norm) as $\lambda \to
0^+$.


title:
Multiuser Diversity for Secrecy Communications Using Opportunistic
  Jammer Selection -- Secure DoF and Jammer Scaling Law

abstract:
  In this paper, we propose opportunistic jammer selection in a wireless
security system for increasing the secure degrees of freedom (DoF) between a
transmitter and a legitimate receiver (say, Alice and Bob). There is a jammer
group consisting of $S$ jammers among which Bob selects $K$ jammers. The
selected jammers transmit independent and identically distributed Gaussian
signals to hinder the eavesdropper (Eve). Since the channels of Bob and Eve are
independent, we can select the jammers whose jamming channels are aligned at
Bob, but not at Eve. As a result, Eve cannot obtain any DoF unless it has more
than $KN_j$ receive antennas, where $N_j$ is the number of jammer's transmit
antenna each, and hence $KN_j$ can be regarded as defensible dimensions against
Eve. For the jamming signal alignment at Bob, we propose two opportunistic
jammer selection schemes and find the scaling law of the required number of
jammers for target secure DoF by a geometrical interpretation of the received
signals.


title:
Studies of Vector Boson Scattering And Triboson Production with DELPHES
  Parametrized Fast Simulation for Snowmass 2013

abstract:
  Multiboson production provides a unique way to probe Electroweak Symmetry
Breaking (EWSB) and physics beyond the Standard Model (SM). With the discovery
of the Higgs boson, the default model is that EWSB occurs according to the
Higgs mechanism. Deviations from the SM in Higgs and gauge boson properties due
to new physics at a higher energy scale can be parameterized by
higher-dimension operators in an Effective Field Theory (EFT). We present
sensitivity studies for dimension-6 and dimension-8 operators in an EFT by
looking for anomalous vector boson scattering and triboson production, at
proton-proton colliders with center-of-mass energies of 14 TeV, 33 TeV and 100
TeV, respectively.


title:
A New Kind of Economy is Born - Social Decision-Makers Beat the "Homo
  Economicus"

abstract:
  The Internet and Social Media change our way of decision-making. We are no
longer the independent decision makers we used to be. Instead, we have become
networked minds, social decision-makers, more than ever before. This has
several fundamental implications. First of all, our economic theories must
change, and second, our economic institutions must be adapted to support the
social decision-maker, the "homo socialis", rather than tailored to the perfect
egoist, known as "homo economicus".


title: Group distance magic and antimagic graphs

abstract:
  Given a graph $G$ with $n$ vertices and an Abelian group $A$ of order $n$, an
$A$-distance antimagic labelling of $G$ is a bijection from $V(G)$ to $A$ such
that the vertices of $G$ have pairwise distinct weights, where the weight of a
vertex is the sum (under the operation of $A$) of the labels assigned to its
neighbours. An {$A$-distance magic labelling} of $G$ is a bijection from $V(G)$
to $A$ such that the weights of all vertices of $G$ are equal to the same
element of $A$. In this paper we study these new labellings under a general
setting with a focus on product graphs. We prove among other things several
general results on group antimagic or magic labellings for Cartesian, direct
and strong products of graphs. As applications we obtain several families of
graphs admitting group distance antimagic or magic labellings with respect to
elementary Abelian groups, cyclic groups or direct products of such groups.


title:
From sparse to dense and from assortative to disassortative in online
  social networks

abstract:
  Inspired by the analysis of several empirical online social networks, we
propose a simple reaction-diffusion-like coevolving model, in which individuals
are activated to create links based on their states, influenced by local
dynamics and their own intention. It is shown that the model can reproduce the
remarkable properties observed in empirical online social networks; in
particular, the assortative coefficients are neutral or negative, and the power
law exponents are smaller than 2. Moreover, we demonstrate that, under
appropriate conditions, the model network naturally makes transition(s) from
assortative to disassortative, and from sparse to dense in their
characteristics. The model is useful in understanding the formation and
evolution of online social networks.


title: Orbital stability of standing wavesof Bose Einstein Condensates

abstract:
  We Proveexistence, symmetry and uniqueness of standing waves of a BCE with
josephson junction. We also characterize the orbit of standing waves


title: On the Tape-Number Problem for Deterministic Time Classes

abstract:
  For any time bound f, let H(f) denote the hierarchy conjecture which means
that the restriction of the numbers of work tapes of deterministic Turing
machines to some b generates an infinite hierarchy of proper subclasses
DTIME_b(f) \subset \DTIME(f). We show that H(f) implies separations of
deterministic from nondeterministic time classes. H(f) follows from the gap
property, G(f), which says that there is a time-constructible bound f_2 such
that f \in o(f_2) and DTIME(f)=DTIME(f_2). G(f) implies further separations.
All these relationships relativize.


title: Nielsen equivalence in a class of random groups

abstract:
  We show that for every $n\ge 2$ there exists a torsion-free one-ended
word-hyperbolic group $G$ of rank $n$ admitting generating $n$-tuples
$(a_1,\ldots ,a_n)$ and $(b_1,\ldots ,b_n)$ such that the $(2n-1)$-tuples
$$(a_1,\ldots ,a_n, \underbrace{1,\ldots ,1}_{n-1 \text{times}})\hbox{ and
}(b_1,\ldots, b_n, \underbrace{1,\ldots ,1}_{n-1 \text{times}})$$ are not
Nielsen-equivalent in $G$. The group $G$ is produced via a probabilistic
construction.


title:
Superfluidity, Sound Velocity and Quasi Condensation in the 2D BCS-BEC
  Crossover

abstract:
  We study finite-temperature properties of a two-dimensional superfluid made
of ultracold alkali-metal atoms in the BCS-BEC crossover. We investigate the
region below the critical temperature $T_{BKT}$ of the
Berezinskii-Kosterlitz-Thouless phase transition, where there is
quasi-condensation, by analyzing the effects of phase and amplitude
fluctuations of the order parameter. In particular, we calculate the superfluid
fraction, the sound velocity and the quasi-condensate fraction as a function of
the temperature and of the binding energy of fermionic pairs.


title: BosonSampling Is Far From Uniform

abstract:
  BosonSampling, which we proposed three years ago, is a scheme for using
linear-optical networks to solve sampling problems that appear to be
intractable for a classical computer. In arXiv:1306.3995, Gogolin et al.
claimed that even an ideal BosonSampling device's output would be
"operationally indistinguishable" from a uniform random outcome, at least
"without detailed a priori knowledge"; or at any rate, that telling the two
apart might itself be a hard problem. We first answer these claims---explaining
why the first is based on a definition of "a priori knowledge" so strange that,
were it adopted, almost no quantum algorithm could be distinguished from a pure
random-number source; while the second is neither new nor a practical obstacle
to interesting BosonSampling experiments. However, we then go further, and
address some interesting research questions inspired by Gogolin et al.'s
mistaken arguments. We prove that, with high probability over a Haar-random
matrix A, the BosonSampling distribution induced by A is far from the uniform
distribution in total variation distance. More surprisingly, and directly
counter to Gogolin et al., we give an efficient algorithm that distinguishes
these two distributions with constant bias. Finally, we offer three "bonus"
results about BosonSampling. First, we report an observation of Fernando
Brandao: that one can efficiently sample a distribution that has large entropy
and that's indistinguishable from a BosonSampling distribution by any circuit
of fixed polynomial size. Second, we show that BosonSampling distributions can
be efficiently distinguished from uniform even with photon losses and for
general initial states. Third, we offer the simplest known proof that
FermionSampling is solvable in classical polynomial time, and we reuse
techniques from our BosonSampling analysis to characterize random
FermionSampling distributions.


title:
Grid-based Network Architecture for Distributed Computation in Wireless
  Sensor Networks

abstract:
  Wireless Sensor Networks (WSNs) are used to perform distributed sensing in
various fields, such as health, military, home etc. In WSNs, sensor nodes
should communicate among themselves and do distributed computation over the
sensed values to identify the occurrence of an event. This paper assumes the no
memory computation model for sensor nodes, i.e. the sensor nodes only have two
registers. This paper presents an optimal architecture for the distributed
computation in WSN and also claims that this architecture is the optimal for
the described computation model.


title:
Proper curvature symmetry in non-static cylindrically symmetric
  Lorentzian manifolds

abstract:
  We considered the most general form of non-static cylindrically symmetric
space-times for studying proper curvature symmetry by using the rank of the 6X6
Riemann matrix and direct integration techniques. Studying proper curvature
symmetry in each case of the above space-times it is shown that when the above
space-times admit proper curvature symmetry, they form an infinite dimensional
vector space.


title: Characterizing and Modeling the Dynamics of Activity and Popularity

abstract:
  Social media, regarded as two-layer networks consisting of users and items,
turn out to be the most important channels for access to massive information in
the era of Web 2.0. The dynamics of human activity and item popularity is a
crucial issue in social media networks. In this paper, by analyzing the growth
of user activity and item popularity in four empirical social media networks,
i.e., Amazon, Flickr, Delicious and Wikipedia, it is found that cross links
between users and items are more likely to be created by active users and to be
acquired by popular items, where user activity and item popularity are measured
by the number of cross links associated with users and items. This indicates
that users generally trace popular items, overall. However, it is found that
the inactive users more severely trace popular items than the active users.
Inspired by empirical analysis, we propose an evolving model for such networks,
in which the evolution is driven only by two-step random walk. Numerical
experiments verified that the model can qualitatively reproduce the
distributions of user activity and item popularity observed in empirical
networks. These results might shed light on the understandings of micro
dynamics of activity and popularity in social media networks.


title:
A note on proper affine vector fields in special non static axially
  symmetric Lorentzian manifolds

abstract:
  A study of proper affine vector fields in non static axially symmetric
space-times is given by using holonomy and decomposability, the rank of the 6X6
Riemann matrix and direct integration techniques. It is shown that the special
class of the above space-times admits proper affine vector fields.


title: Fractional quantum Hall states in charge-imbalanced bilayer systems

abstract:
  We study the fractional quantum Hall effect in a bilayer with
charge-distribution imbalance induced, for instance, by a bias gate voltage.
The bilayer can either be intrinsic or it can be formed spontaneously in wide
quantum wells, due to the Coulomb repulsion between electrons. We focus on
fractional quantum Hall effect in asymmetric bilayer systems at filling factor
nu=4/11 and show that an asymmetric Halperin-like trial wavefunction gives a
valid description of the ground state of the system.


title:
Systematic Properties of the Tsallis Distribution: Energy Dependence of
  Parameters

abstract:
  Changes in the transverse momentum distributions with beam energy are studied
using the Tsallis distribution as a parameterization. The dependence of the
Tsallis parameters q, T and the volume on beam energy is determined. The
Tsallis parameter q shows a weak but clear increase with beam energy with the
highest value being approximately 1.15. The Tsallis temperature and volume are
consistent with being independent of beam energy within experimental
uncertainties.


title: Cuspidal part of an Eisenstein series restricted to an index 2 subfield

abstract:
  Let $\mathbb{E}$ be a quadratic extension of a number field $\mathbb{F}$. Let
$E(g, s)$ be an Eisenstein series on $GL_2(\mathbb{E})$, and let $F$ be a
cuspidal automorphic form on $GL_2(\mathbb{F})$. We will consider in this paper
the following automorphic integral: $$\int_{Z_{A}GL_{2}(\mathbb{F})\backslash
GL_{2}(\mathbb{A}_{\mathbb{F}})} F(g)E(g,s) dg.$$ This is in some sense the
complementary case to the well-known Rankin-Selberg integral and the triple
product formula. We will approach this integral by Waldspurger's formula. We
will discuss when the integral is automatically zero, and otherwise the
L-function it represents. We will calculate local integrals at some ramified
places, where the level of the ramification can be arbitrarily large.


title: Antihydrogen, CPT, and Naturalness

abstract:
  Studying fundamental symmetries of Nature has proven fruitful in particle
physics. I argue that recent results at the LHC, and the naturalness problem
highlighted by them, provide a renewed motivation for tests of CPT symmetry as
a probe for physics beyond quantum field theory. I also discuss prospects for
antihydrogen CPT tests with sensitivities to Planck scale suppressed effects.