title: On Rational Knots and Links in the Solid Torus

abstract:
  We introduce the notion of rational links in the solid torus. We show that
rational links in the solid torus are fully characterized by rational tangles,
and hence by the continued fraction of the rational tangle. Furthermore, we
generalize this by giving an infinite family of ambient isotopy invariants of
colored diagrams in the Kauffman bracket skein module of an oriented surface.


title:
Greatly enhanced intensity-difference squeezing for narrow-band quantum
  metrology applications

abstract:
  Narrow-band intensity-difference squeezing beams have important applications
in quantum metrology and gravitational wave detection. The best way to generate
narrow-band intensity-difference squeezing is to employ
parametrically-amplified four-wave mixing process in high-gain atomic media.
Such IDS can be further enhanced by cascading multiple parametrically-amplified
four-wave mixing processes in separate atomic media. The complicated
experimental setup, added losses and required high-power pump laser with the
increase of number of stages can limit the wide uses of such scheme in
practical applications. Here, we show that by modulating the internal energy
level(s) with additional laser(s), the degree of original intensity-difference
squeezing can be substantially increased. With an initial intensity-difference
squeezing of $-8.5\pm0.4$ dB using parametrically-amplified-non-degenerate
four-wave mixing process in a three-level $\Lambda$-type configuration, the
degree of intensity-difference squeezing can be enhanced to $-11.9\pm0.4$
dB/$-13.9\pm0.4$ dB (corrected for losses) when we use one/two laser beam(s) to
modulate the involved ground/excited state(s). More importantly, a maximal
noise reduction of $-9.7\pm0.4$ dB (only corrected for electronic noise) is
observed below the standard quantum limit, which is the strongest reported to
date in phase insensitive amplification in four-wave mixing. Applying the model
to quantum metrology, the signal-to-noise ratio is improved by 23 dB compared
to the conventional Mach-Zehnder interferometer under the same phase-sensing
intensity, which is a 14-fold enhancement in rms phase measurement sensitivity
beyond the shot noise limit. Our results show a low-loss, robust and efficient
way to produce high degree of IDS and facilitate its potential applications.


title: Minimal Problems for the Calibrated Trifocal Variety

abstract:
  We determine the algebraic degree of minimal problems for the calibrated
trifocal variety in computer vision. We rely on numerical algebraic geometry
and the homotopy continuation software Bertini.


title: Interval projections of self-similar sets

abstract:
  We show that if $K$ is a self-similar $1$-set that is not contained in a line
and either satisfies the strong separation condition or is defined via
homotheties then there are at most finitely many lines through the origin such
that the projection of $K$ onto them is an interval.


title:
On the condition number theory of the equality constrained indefinite
  least squares problem

abstract:
  In this paper, within a unified framework of the condition number theory we
present the explicit expression of the projected condition number of the
equality constrained indefinite least squares problem. By setting specific
norms and parameters, some widely used condition numbers, like the normwise,
mixed and componentwise condition numbers follow as its special cases.
Considering practical applications and computation, some new compact forms or
upper bounds of the projected condition numbers are given to improve the
computational efficiency. The new compact forms are of particular interest in
calculating the exact value of the 2-norm projected condition numbers. When the
equality constrained indefinite least squares problem degenerates into some
specific least squares problems, our results give some new findings on the
condition number theory of these specific least squares problems. Numerical
experiments are given to illustrate our theoretical results.


title: Analysis of a Design Pattern for Teaching with Features and Labels

abstract:
  We study the task of teaching a machine to classify objects using features
and labels. We introduce the Error-Driven-Featuring design pattern for teaching
using features and labels in which a teacher prefers to introduce features only
if they are needed. We analyze the potential risks and benefits of this
teaching pattern through the use of teaching protocols, illustrative examples,
and by providing bounds on the effort required for an optimal machine teacher
using a linear learning algorithm, the most commonly used type of learners in
interactive machine learning systems. Our analysis provides a deeper
understanding of potential trade-offs of using different learning algorithms
and between the effort required for featuring (creating new features) and
labeling (providing labels for objects).


title: Holographic QCD for H-dibaryon (uuddss)

abstract:
  The H-dibaryon (uuddss) is studied in holographic QCD for the first time. In
holographic QCD, four-dimensional QCD, i.e., SU($N_c$) gauge theory with chiral
quarks, can be formulated with $S^1$-compactified D4/D8/$\overline{\rm
D8}$-brane system. In holographic QCD with large $N_c$, all the baryons appear
as topological chiral solitons of Nambu-Goldstone bosons and (axial) vector
mesons, and the H-dibaryon can be described as an SO(3)-type topological
soliton with $B=2$. We derive the low-energy effective theory to describe the
H-dibaryon in holographic QCD. The H-dibaryon mass is found to be twice of the
$B=1$ hedgehog-baryon mass, $M_{\rm H} \simeq 2.00 M_{B=1}^{\rm HH}$, and is
estimated about 1.7GeV, which is smaller than mass of two nucleons
(flavor-octet baryons), in the chiral limit.


title: Symmetric Morse potential is exactly solvable

abstract:
  Morse potential $V_M(x)= g^2\exp (2x)-g(2h+1)\exp(x)$ is defined on the full
line, $-\infty<x<\infty$ and it defines an exactly solvable 1-d quantum
mechanical system with finitely many discrete eigenstates. By taking its right
half $0\le x<\infty$ and glueing it with the left half of its mirror image
$V_M(-x)$, $-\infty<x\le0$, the symmetric Morse potential $V(x)= g^2\exp
(2|x|)-g(2h+1)\exp(|x|)$ is obtained. The quantum mechanical system of this
piecewise analytic potential has infinitely many discrete eigenstates with the
corresponding eigenfunctions given by the Whittaker W function. The eigenvalues
are the square of the zeros of the Whittaker function $W_{k,\nu}(x)$ and its
linear combination with $W'_{k,\nu}(x)$ as a function of $\nu$ with fixed $k$
and $x$. This quantum mechanical system seems to offer an interesting example
for discussing the Hilbert-P\'olya conjecture on the pure imaginary zeros of
Riemann zeta function on Re$(s)=\tfrac12$.

categories: math-ph hep-th math.CA math.MP nlin.SI quant-ph


title: Lossy DC Power Flow

abstract:
  The DC Power Flow approximation has been widely used for decades in both
industry and academia due to its computational speed and simplicity, but
suffers from inaccuracy, in part due to the assumption of a lossless network.
Here we present a natural extension of the DC Power Flow to lossy networks. Our
approach is based on reformulating the lossy active power flow equations into a
novel fixed-point equation, and iterating this fixed-point mapping to generate
a sequence of improving estimates for the active power flow solution. Each
iteration requires the solution of a standard DC Power Flow problem with a
modified vector of power injections. The first iteration returns the standard
DC Power Flow, and one or two additional iterations yields a one or two
order-of-magnitude improvement in accuracy. For radial networks, we give
explicit conditions on the power flow data which guarantee (i) that the active
power flow equations possess a unique solution, and (ii) that our iteration
converges exponentially and monotonically to this solution. For meshed
networks, we extensively test our results via standard power flow cases.


title:
On extremal multiplicative Zagreb indices of trees with given domination
  number

abstract:
  For a graph $G$, the first multiplicative Zagreb index $\prod_1$ is equal to
the product of squares of the vertex degrees, and the second multiplicative
Zagreb index $\prod_2$ is equal to the product of the products of degrees of
pairs of adjacent vertices. The (mutiplicative) Zagreb indices have been the
focus of considerable research in computational chemistry dating back to Gutman
and Trinajsti\'c in 1972.
  In this paper, we explore the mutiplicative Zagreb indices in terms of
arbitrary domination number. The sharp upper and lower bounds of $\prod_1(G)$
and $\prod_2(G)$ are given. In addition, the corresponding extreme graphs are
charaterized.


title: A Characterization of Prediction Errors

abstract:
  Understanding prediction errors and determining how to fix them is critical
to building effective predictive systems. In this paper, we delineate four
types of prediction errors and demonstrate that these four types characterize
all prediction errors. In addition, we describe potential remedies and tools
that can be used to reduce the uncertainty when trying to determine the source
of a prediction error and when trying to take action to remove a prediction
errors.


title: Galois and Cartan Cohomology of Real Groups

abstract:
  Real forms of a complex reductive group are classified by Galois cohomology
H^1(Gamma,G_ad) where G_ad is the adjoint group. Cartan's classification of
real forms in terms of maximal compact subgroups can be stated in terms of
H^(Z/2Z,G_ad) where the action is by a (holomorphic) Cartan involution. The
main result is that for any complex reductive group, possibly disconnected,
there is a canonical isomorphism between H^1(Gamma,G) and H^1(Z/2Z,G). As
applications we give short proofs of some well known results, including the
Sekiguchi correspondence, Matsuki duality, results on Cartan subgroups, the
rational Weyl group, and strong real forms. We also compute H^1(Gamma,G) for
all simple, simply connected real groups.


title:
Photonic ferromagnetic-like spontaneous mode-locking phase transition
  with replica symmetry breaking in multimode Nd:YAG laser

abstract:
  The recent reports of the replica symmetry breaking (RSB) phenomenon in
photonic experiments [1-5] boosted the understanding of the role of disorder in
multimode lasers, as well as helped to settle enlightening connections [6-13]
with the statistical physics of complex systems. RSB manifests when
identically-prepared system replicas reach distinct states, yielding different
measures of observable quantities [14]. Here we demonstrate the RSB in the
spontaneous mode-locking regime of a conventional multimode Nd:YAG laser in a
closed cavity. The underlying mechanism is quite distinct from that of the RSB
spinglass phase in cavityless random lasers with incoherently-oscillating
modes. Here, a specific nonuniform distribution of the gain takes place in each
pulse, and frustration is induced since the coherent oscillation of a given
subset of longitudinal modes dominates and simultaneously inhibits the others.
Nevertheless, when high losses are introduced only the replica-symmetric
amplified stimulation emission is observed. We therefore suggest that the RSB
transition can be used as an identifier of the threshold in standard multimode
lasers, as recently proposed and demonstrated for random lasers [1,2].


title:
Influence of temperature and humidity on the detection of benzene vapor
  by piezoelectric crystal sensor

abstract:
  The effects of temperature and humidity on the estimation of air pollution by
benzene by using the piezoelectric crystal gas sensor were studied.
Polyvinylchloride films were used as substrate for the immobilization of
polymethylphenylsiloxane onto the electrode surface of the piezoelectric
crystal. The sensing layer consisting of polymethylphenylsiloxane and
polyvinylchloride was used for real-time monitoring of benzene, one of the
atmospheric pollutants. According to the humidity from 35% to 75%, the upper
limit of detection by this sensor was decreased and the response time and
frequency recovery time for detecting benzene were long. On the other hand, as
increasing the temperature, the response time and the frequency recovery time
of the sensor were short, but its sensitivity got worse. The models for the
correlation between the benzene concentration and temperature (or humidity)
were presented.


title: Hotelling-Downs Model with Limited Attraction

abstract:
  In this paper we study variations of the standard Hotelling-Downs model of
spatial competition, where each agent attracts the clients in a restricted
neighborhood, each client randomly picks one attractive agent for service.
  Two utility functions for agents are considered: support utility and winner
utility. We generalize the results by Feldman et al. to the case where the
clients are distributed arbitrarily. In the support utility setting, we show
that a pure Nash equilibrium always exists by formulating the game as a
potential game. In the winner utility setting, we show that there exists a Nash
equilibrium in two cases: when there are at most 3 agents and when the size of
attraction area is at least half of the entire space. We also consider the
price of anarchy and the fairness of equilibria and give tight bounds on these
criteria.


title: Two Photon Transition Form Factor of $\bar{c}c $ Quarkonia

abstract:
  The two photon transition of $\bar{c}c$ quarkonia are studied within a
covariant approach based on the consistent truncation scheme of the quantum
chromodynamics Dyson-Schwinger equation for the quark propagator and the
Bethe--Salpeter equation for the mesons. We find the decay widths of
$\eta_{c}^{} \to \gamma\gamma$ and $\chi_{c0,2}^{} \to \gamma\gamma$ in good
agreement with experimental data. The obtained transition form factor of
$\eta_{c}^{} \to \gamma\gamma^{\ast}$ for a wide range of space-like photon
momentum transfer squared is also in agreement with the experimental findings
of the BABAR experiment. As a by-product, the decay widths of
$\eta_{b}^{},\chi_{b0,2}^{} \to \gamma\gamma$ and the transition form factor of
$\eta_{b}^{}, \chi_{c0,b0}^{} \to\gamma\gamma^{\ast}$ are predicted, which
await for experimental test.


title:
Stochastic Recursive Inclusions in two timescales with non-additive
  iterate dependent Markov noise

abstract:
  In this paper we study the asymptotic behavior of a stochastic approximation
scheme on two timescales with set-valued drift functions and in the presence of
non-additive iterate-dependent Markov noise. It is shown that the recursion on
each timescale tracks the flow of a differential inclusion obtained by
averaging the set-valued drift function in the recursion with respect to a set
of measures which take into account both the averaging with respect to the
stationary distributions of the Markov noise terms and the interdependence
between the two recursions on different timescales. The framework studied in
this paper builds on the works of \it{A. Ramaswamy et al. }\rm by allowing for
the presence of non-additive iterate-dependent Markov noise. As an application,
we consider the problem of computing the optimum in a constrained convex
optimization problem where the objective function and the constraints are
averaged with respect to the stationary distribution of an underlying Markov
chain. Further the proposed scheme neither requires the differentiability of
the objective function nor the knowledge of the averaging measure.


title: Word and Document Embeddings based on Neural Network Approaches

abstract:
  Data representation is a fundamental task in machine learning. The
representation of data affects the performance of the whole machine learning
system. In a long history, the representation of data is done by feature
engineering, and researchers aim at designing better features for specific
tasks. Recently, the rapid development of deep learning and representation
learning has brought new inspiration to various domains.
  In natural language processing, the most widely used feature representation
is the Bag-of-Words model. This model has the data sparsity problem and cannot
keep the word order information. Other features such as part-of-speech tagging
or more complex syntax features can only fit for specific tasks in most cases.
This thesis focuses on word representation and document representation. We
compare the existing systems and present our new model.
  First, for generating word embeddings, we make comprehensive comparisons
among existing word embedding models. In terms of theory, we figure out the
relationship between the two most important models, i.e., Skip-gram and GloVe.
In our experiments, we analyze three key points in generating word embeddings,
including the model construction, the training corpus and parameter design. We
evaluate word embeddings with three types of tasks, and we argue that they
cover the existing use of word embeddings. Through theory and practical
experiments, we present some guidelines for how to generate a good word
embedding.
  Second, in Chinese character or word representation. We introduce the joint
training of Chinese character and word. ...
  Third, for document representation, we analyze the existing document
representation models, including recursive NNs, recurrent NNs and convolutional
NNs. We point out the drawbacks of these models and present our new model, the
recurrent convolutional neural networks. ...


title:
Reweighted Low-Rank Tensor Decomposition based on t-SVD and its
  Applications in Video Denoising

abstract:
  The t-SVD based Tensor Robust Principal Component Analysis (TRPCA) decomposes
low rank multi-linear signal corrupted by gross errors into low multi-rank and
sparse component by simultaneously minimizing tensor nuclear norm and l 1 norm.
But if the multi-rank of the signal is considerably large and/or large amount
of noise is present, the performance of TRPCA deteriorates. To overcome this
problem, this paper proposes a new efficient iterative reweighted tensor
decomposition scheme based on t-SVD which significantly improves tensor
multi-rank in TRPCA. Further, the sparse component of the tensor is also
recovered by reweighted l 1 norm which enhances the accuracy of decomposition.
The effectiveness of the proposed method is established by applying it to the
video denoising problem and the experimental results reveal that the proposed
algorithm outperforms its counterparts.


title:
Reweighted Low-Rank Tensor Completion and its Applications in Video
  Recovery

abstract:
  This paper focus on recovering multi-dimensional data called tensor from
randomly corrupted incomplete observation. Inspired by reweighted $l_1$ norm
minimization for sparsity enhancement, this paper proposes a reweighted
singular value enhancement scheme to improve tensor low tubular rank in the
tensor completion process. An efficient iterative decomposition scheme based on
t-SVD is proposed which improves low-rank signal recovery significantly. The
effectiveness of the proposed method is established by applying to video
completion problem, and experimental results reveal that the algorithm
outperforms its counterparts.


title: Another characterizations of Muckenhoupt $A_{p}$ class

abstract:
  This manuscript addresses Muckenhoupt $A_{p}$ weight theory in connection to
Morrey and BMO spaces. It is proved that $\omega$ belongs to Muckenhoupt
$A_{p}$ class, if and only if Hardy-Littlewood maximal function $M$ is bounded
from weighted Lebesgue spaces $L^{p}(\omega)$ to weighted Morrey spaces
$M^{p}_{q}(\omega)$ for $1<q< p<\infty$. As a corollary, if $M$ is (weak)
bounded on $M^{p}_{q}(\omega)$, then $\omega\in A_{p}$. The $A_{p}$ condition
also characterizes the boundedness of the Riesz transform $R_{j}$ and
convolution operators $T_{\epsilon}$ on weighted Morrey spaces. Finally, we
show that $\omega\in A_{p}$ if and only if $\omega\in
\mathrm{BMO}^{p'}(\omega)$ for $1\leq p< \infty$ and $1/p+1/p'=1$.


title:
Dark matter candidates in the constrained Exceptional Supersymmetric
  Standard Model

abstract:
  The Exceptional Supersymmetric Standard Model (E$_6$SSM) is a low energy
alternative to the MSSM with an extra $U(1)$ gauge symmetry and three
generations of matter filling complete 27-plet representations of $E_6$. This
provides both new D and F term contributions that raise the Higgs mass at tree
level, and a compelling solution to the $\mu$-problem of the MSSM by forbidding
such a term with the extra $U(1)$ symmetry. Instead, an effective $\mu$-term is
generated from the VEV of an SM singlet which breaks the extra $U(1)$ symmetry
at low energies, giving rise to a massive $Z^\prime$. We explore the
phenomenology of the constrained version of this model (cE$_6$SSM) in
substantially more detail than has been carried out previously, performing a
ten dimensional scan that reveals a large volume of viable parameter space. We
classify the different mechanisms for generating the measured relic density of
dark matter found in the scan, including the identification of a new mechanism
involving mixed bino/inert-Higgsino dark matter. We show which mechanisms can
evade the latest direct detection limits from the LUX 2016 experiment. Finally
we present benchmarks consistent with all the experimental constraints and
which could be discovered with the XENON1T experiment.


title: Nonempty intersection of longest paths in $2K_2$-free graphs

abstract:
  In 1966, Gallai asked whether all longest paths in a connected graph share a
common vertex. Counterexamples indicate that this is not true in general.
However, Gallai's question is positive for certain well-known classes of
connected graphs, such as split graphs, interval graphs, circular arc graphs,
outerplanar graphs, and series-parallel graphs. A graph is $2K_2$-free if it
does not contain two independent edges as an induced subgraph. In this paper,
we show that in nonempty $2K_2$-free graphs, every vertex of maximum degree is
common to all longest paths. Our result implies that all longest paths in a
nonempty $2K_2$-free graph have a nonempty intersection. In particular, it
gives a new proof for the result on split graphs, as split graphs are
$2K_2$-free.


title: NGC 5523: An Isolated Product of Soft Galaxy Mergers?

abstract:
  Multi-band images of the very isolated spiral galaxy NGC 5523 show a number
of unusual features consistent with NGC 5523 having experienced a significant
merger: (1) Near-infrared (NIR) images from the Spitzer Space Telescope (SST)
and the WIYN 3.5-m telescope reveal a nucleated bulge-like structure embedded
in a spiral disk. (2) The bulge is offset by ~1.8 kpc from a brightness minimum
at the center of the optically bright inner disk. (3) A tidal stream, possibly
associated with an ongoing satellite interaction, extends from the nucleated
bulge along the disk. We interpret these properties as the results of one or
more non-disruptive mergers between NGC 5523 and companion galaxies or
satellites, raising the possibility that some galaxies become isolated because
they have merged with former companions.


title: Quiver mutation sequences and $q$-binomial identities

abstract:
  In this paper, first we introduce a quantity called a partition function for
a quiver mutation sequence. The partition function is a generating function
whose weight is a $q$-binomial associated with each mutation. Then, we show
that the partition function can be expressed as a ratio of products of quantum
dilogarithms. This provides a systematic way of constructing various
$q$-binomial multisum identities.


title: Nucleon resonance structure in the finite volume of lattice QCD

abstract:
  An approach for relating the nucleon resonances extracted from $\pi N$
reaction data to lattice QCD calculations has been developed by using the
finite-volume Hamiltonian method. Within models of $\pi N$ reactions, bare
states are introduced to parametrize the intrinsic excitations of the nucleon.
We show that the resonance pole positions can be related to the probability
$P_{N^*}(E)$ of finding the bare state, $N^*$, in the $\pi N$ scattering states
in infinite volume. We further demonstrate that the probability $P_{N^*}^V(E)$
of finding the same bare states in the eigenfunctions of the underlying
Hamiltonian in finite volume approaches $P_{N^*}(E)$ as the volume increases.
Our findings suggest that the comparison of $P_{N^*}(E)$ and $P_{N^*}^V(E)$ can
be used to examine whether the nucleon resonances extracted from the $\pi N$
reaction data within the dynamical models are consistent with lattice QCD
calculation. We also discuss the measurement of $P_{N^*}^V(E)$ directly from
lattice QCD. The practical differences between our approach and the approach
using the L\"uscher formalism to relate LQCD calculations to the nucleon
resonance poles embedded in the data are also discussed.


title: Finding Mirror Symmetry via Registration

abstract:
  Symmetry is prevalent in nature and a common theme in man-made designs. Both
the human visual system and computer vision algorithms can use symmetry to
facilitate object recognition and other tasks. Detecting mirror symmetry in
images and data is, therefore, useful for a number of applications. Here, we
demonstrate that the problem of fitting a plane of mirror symmetry to data in
any Euclidian space can be reduced to the problem of registering two datasets.
The exactness of the resulting solution depends entirely on the registration
accuracy. This new Mirror Symmetry via Registration (MSR) framework involves
(1) data reflection with respect to an arbitrary plane, (2) registration of
original and reflected datasets, and (3) calculation of the eigenvector of
eigenvalue -1 for the transformation matrix representing the reflection and
registration mappings. To support MSR, we also introduce a novel 2D
registration method based on random sample consensus of an ensemble of
normalized cross-correlation matches. With this as its registration back-end,
MSR achieves state-of-the-art performance for symmetry line detection in two
independent 2D testing databases. We further demonstrate the generality of MSR
by testing it on a database of 3D shapes with an iterative closest point
registration back-end. Finally, we explore its applicability to examining
symmetry in natural systems by assessing the degree of symmetry present in
myelinated axon reconstructions from a larval zebrafish.


title: Second-Order Self-Consistent-Field Density-Matrix Renormalization Group

abstract:
  We present a matrix-product state (MPS)-based quadratically convergent
density-matrix renormalization group self-consistent-field (DMRG-SCF) approach.
Following a proposal by Werner and Knowles (JCP 82, 5053, (1985)), our DMRG-SCF
algorithm is based on a direct minimization of an energy expression which is
correct to second-order with respect to changes in the molecular orbital basis.
We exploit a simultaneous optimization of the MPS wave function and molecular
orbitals in order to achieve quadratic convergence. In contrast to previously
reported (augmented Hessian) Newton-Raphson and super-configuration-interaction
algorithms for DMRG-SCF, energy convergence beyond a quadratic scaling is
possible in our ansatz. Discarding the set of redundant active-active orbital
rotations, the DMRG-SCF energy converges typically within two to four cycles of
the self-consistent procedure

categories: physics.chem-ph cond-mat.str-el physics.comp-ph quant-ph


title:
NCBO Ontology Recommender 2.0: An Enhanced Approach for Biomedical
  Ontology Recommendation

abstract:
  Biomedical researchers use ontologies to annotate their data with ontology
terms, enabling better data integration and interoperability. However, the
number, variety and complexity of current biomedical ontologies make it
cumbersome for researchers to determine which ones to reuse for their specific
needs. To overcome this problem, in 2010 the National Center for Biomedical
Ontology (NCBO) released the Ontology Recommender, which is a service that
receives a biomedical text corpus or a list of keywords and suggests ontologies
appropriate for referencing the indicated terms. We developed a new version of
the NCBO Ontology Recommender. Called Ontology Recommender 2.0, it uses a new
recommendation approach that evaluates the relevance of an ontology to
biomedical text data according to four criteria: (1) the extent to which the
ontology covers the input data; (2) the acceptance of the ontology in the
biomedical community; (3) the level of detail of the ontology classes that
cover the input data; and (4) the specialization of the ontology to the domain
of the input data. Our evaluation shows that the enhanced recommender provides
higher quality suggestions than the original approach, providing better
coverage of the input data, more detailed information about their concepts,
increased specialization for the domain of the input data, and greater
acceptance and use in the community. In addition, it provides users with more
explanatory information, along with suggestions of not only individual
ontologies but also groups of ontologies. It also can be customized to fit the
needs of different scenarios. Ontology Recommender 2.0 combines the strengths
of its predecessor with a range of adjustments and new features that improve
its reliability and usefulness. Ontology Recommender 2.0 recommends over 500
biomedical ontologies from the NCBO BioPortal platform, where it is openly
available.


title:
Linearly polarized gluons in charmonium and bottomonium production in
  color octet model

abstract:
  We study the possibility to probe the unpolarized and linearly polarized
transverse momentum- dependent gluon distributions in unpolarized pp collision
in charmonium and bottomonium produc- tion, employing non-relativistic QCD
(NRQCD) based color octet model within transverse momentum dependent (TMD)
factorization framework. The transverse momentum (p T ) and rapidity
distributions of J/{\psi} and {\Upsilon}(1S) at LHCb, RHIC and AFTER energies
are estimated. Significant modulations in transverse momentum spectrum of
quarkonium in the low p T region is obtained when contributions of linearly
polarized gluons inside an unpolarized proton are taken into account. The
results of quarko- nium production in color octet model and color evaporation
model are compared.


title:
Hardware-Based Linear Program Decoding with the Alternating Direction
  Method of Multipliers

abstract:
  We present a hardware-based implementation of Linear Program (LP) decoding
for binary linear codes. LP decoding frames error-correction as an optimization
problem. In contrast, variants of Belief Propagation (BP) decoding frame
error-correction as a problem of graphical inference. LP decoding has several
advantages over BP-based methods, including convergence guarantees and better
error-rate performance in high-reliability channels. The latter makes LP
decoding attractive for optical transport and storage applications. However, LP
decoding, when implemented with general solvers, does not scale to large
blocklengths and is not suitable for a parallelized implementation in hardware.
It has been recently shown that the Alternating Direction Method of Multipliers
(ADMM) can be applied to decompose the LP decoding problem. The result is a
message-passing algorithm with a structure very similar to BP. We present new
intuition for this decoding algorithm as well as for its major computational
primitive: projection onto the parity polytope. Furthermore, we present results
for a fixed-point Verilog implementation of ADMM-LP decoding. This
implementation targets a Field-Programmable Gate Array (FPGA) platform to
evaluate error-rate performance and estimate resource usage. We show that Frame
Error Rate (FER) performance well within 0.5dB of double-precision
implementations is possible with 10-bit messages. Finally, we outline a number
of research opportunities that should be explored en-route to the realization
of an Application Specific Integrated Circuit (ASIC) implementation capable of
gigabit per second throughput.


title:
Determining a hopping polarons bandwidth from its Seebeck coefficient:
  Measuring the disorder energy of a non-crystalline semiconductor

abstract:
  Charge carriers that execute multi-phonon hopping generally interact strongly
enough with phonons to form polarons. A polarons sluggish motion is linked to
slowly shifting atomic displacements that severely reduce the intrinsic width
of its transport band. Here a means to estimate hopping polarons bandwidths
from Seebeck-coefficient measurements is described. The magnitudes of
semiconductors Seebeck coefficients are usually quite large (greater than 86
microvolts/K) near room temperature. However, in accord with the third law of
thermodynamics, Seebeck coefficients must vanish at absolute zero. Here the
transition of the Seebeck coefficient of hopping polarons to its
low-temperature regime is investigated. The temperature and sharpness of this
transition depends on the concentration of carriers and on the width of their
transport band. This feature provides a means of estimating the width of a
polarons transport band. Since the intrinsic broadening of polaron bands is
very small, less than the characteristic phonon energy, the net widths of
polaron transport bands in disordered semiconductors approach the energetic
disorder experienced by their hopping carriers, their disorder energy.


title: Robust and Scalable Column/Row Sampling from Corrupted Big Data

abstract:
  Conventional sampling techniques fall short of drawing descriptive sketches
of the data when the data is grossly corrupted as such corruptions break the
low rank structure required for them to perform satisfactorily. In this paper,
we present new sampling algorithms which can locate the informative columns in
presence of severe data corruptions. In addition, we develop new scalable
randomized designs of the proposed algorithms. The proposed approach is
simultaneously robust to sparse corruption and outliers and substantially
outperforms the state-of-the-art robust sampling algorithms as demonstrated by
experiments conducted using both real and synthetic data.


title:
A viable non-axisymmetric non-force-free field to represent solar active
  regions

abstract:
  A combination of analytical calculations and vectormagnetogram data are
utilized to develop a non-axisymmetric non-force-free magnetic field and asses
its viability in describing solar active regions. For the purpose, we construct
a local spherical shell where a planar surface, tangential to the inner sphere,
represents a Cartesian cutout of an active region. The magnetic field defined
on the surface is then correlated with magnetograms. The analysis finds the
non-axisymmetric non-force-free magnetic field, obtained by a superposition of
two linear-force-free fields, correlates reasonably well with magnetograms.


title: A Reverse Minkowski Theorem

abstract:
  $ \newcommand{\R}{\mathbb{R}} \newcommand{\lat}{\mathcal{L}} $We prove a
conjecture due to Dadush, showing that if $\lat \subset \R^n$ is a lattice such
that $\det(\lat') \ge 1$ for all sublattices $\lat' \subseteq \lat$, then \[
\sum_{\vec y \in \lat} e^{-\pi t^2 \|\vec y\|^2} \le 3/2 \; , \] where $t :=
10(\log n + 2)$. From this we derive bounds on the number of short lattice
vectors, which can be viewed as a partial converse to Minkowski's celebrated
first theorem. We also derive a bound on the covering radius.


title: Precondition Inference for Peephole Optimizations in LLVM

abstract:
  Peephole optimizations are a common source of compiler bugs. Compiler
developers typically transform an incorrect peephole optimization into a valid
one by strengthening the precondition. This process is challenging and tedious.
This paper proposes ALIVE-INFER, a data-driven approach that infers
preconditions for peephole optimizations expressed in Alive. ALIVE-INFER
generates positive and negative examples for an optimization, enumerates
predicates on-demand, and learns a set of predicates that separate the positive
and negative examples. ALIVE-INFER repeats this process until it finds a
precondition that ensures the validity of the optimization. ALIVE-INFER reports
both a weakest precondition and a set of succinct partial preconditions to the
developer. Our prototype generates preconditions that are weaker than LLVM's
preconditions for 73 optimizations in the Alive suite. We also demonstrate the
applicability of this technique to generalize 54 optimization patterns
generated by Souper, an LLVM~IR--based superoptimizer.


title: Orbifold Stability and Miyaoka-Yau Inequality for minimal pairs

abstract:
  After establishing suitable notions of stability and Chern classes for
singular pairs, we use K\"ahler-Einstein metrics with conical and cuspidal
singularities to prove the slope semistability of orbifold tangent sheaves of
minimal log-canonical pairs of log general type. We then proceed to prove the
Miyaoka-Yau inequality for all minimal pairs with standard coefficients. Our
result in particular provides an alternative proof of the Abundance theorem for
threefolds that is independent of positivity results for tangent sheaves.


title: The 3-permutation orbifold of a lattice vertex operator algebra

abstract:
  Irreducible modules of the 3-permutation orbifold of a rank one lattice
vertex operator algebra are listed explicitly. Fusion rules are determined by
using the quantum dimensions. The $S$-matrix is also given.


title: Equidistribution of random waves on small balls

abstract:
  In this paper, we investigate the small scale equidistribution properties of
randomised sums of Laplacian eigenfunctions (i.e. random waves) on a compact
manifold. We prove small scale expectation and variance results for random
waves on all compact manifolds. Here, "small scale" refers to balls of radius
$r(\lambda)\to 0$ such that $r/r_{\text{Planck}}\to\infty$, where
$r_{\text{Planck}}$ is the Planck scale. For balls at a larger scale (although
still $r(\lambda)\to 0$) we also obtain estimates showing that the probability
that a random wave fails to equidistribute decays exponentially with the
eigenvalue.


title:
Celeris: A GPU-accelerated open source software with a Boussinesq-type
  wave solver for real-time interactive simulation and visualization

abstract:
  In this paper, we introduce an interactive coastal wave simulation and
visualization software, called Celeris. Celeris is an open source software
which needs minimum preparation to run on a Windows machine. The software
solves the extended Boussinesq equations using a hybrid finite volume - finite
difference method and supports moving shoreline boundaries. The simulation and
visualization are performed on the GPU using Direct3D libraries, which enables
the software to run faster than real-time. Celeris provides a first-of-its-kind
interactive modeling platform for coastal wave applications and it supports
simultaneous visualization with both photorealistic and colormapped rendering
capabilities. We validate our software through comparison with three standard
benchmarks for non-breaking and breaking waves.


title:
Compressed Sensing from Phaseless Gaussian Measurements via Linear
  Programming in the Natural Parameter Space

abstract:
  We consider faithfully combining phase retrieval with classical compressed
sensing. Inspired by the recent novel formulation for phase retrieval called
PhaseMax, we present and analyze SparsePhaseMax, a linear program for phaseless
compressed sensing in the natural parameter space. We establish that when
provided with an initialization that correlates with an arbitrary $k$-sparse
$n$-vector, SparsePhaseMax recovers this vector up to global sign with high
probability from $O(k \log \frac{n}{k})$ magnitude measurements against i.i.d.
Gaussian random vectors. Our proof of this fact exploits a curious newfound
connection between phaseless and 1-bit compressed sensing. This is the first
result to establish bootstrapped compressed sensing from phaseless Gaussian
measurements under optimal sample complexity.


title:
Discovery of five low luminosity active galactic nuclei at the centre of
  the Perseus cluster

abstract:
  According to optical stellar kinematics observations, an over-massive black
hole candidate has been reported by van den Bosch et al. (2012) in the normal
early-type galaxy NGC 1277. This galaxy is located in the central region of the
Perseus cluster. Westerbork Synthesis Radio Telescope (WSRT) observations have
shown that NGC 1277 and other early-type galaxies in the neighbourhood have
radio counterparts. These nuclear radio sources have stable flux densities on
time scale of years. In order to investigate the origin of the radio emission
from these normal galaxies, we selected five sources (NGC 1270, NGC 1272, NGC
1277, NGC 1278 and VZw 339) residing in the central 10 arcminute region of the
Perseus cluster and requested to re-correlate the data of an existing very long
baseline interferometry (VLBI) experiment at these new positions. With the
re-correlation data provided by the European VLBI Network (EVN), we imaged the
five sources with a resolution of about eight milliarcseconds and detected all
of them with a confidence level above 5{\sigma} at 1.4 GHz. They show compact
structure and brightness temperatures above $10^7$ K, which implies that the
radio emission is non-thermal. We rule out ongoing nuclear star formation and
conclude that these VLBI-detected radio sources are parsec-scale jet activity
associated with the supermassive black holes in low luminosity active galactic
nuclei (LLAGNs), although there are no clear signs of nuclear activity observed
in the optical and infrared bands. Using the fundamental plane relation in
black holes, we find no significant evidence for or against an extremely
massive black hole hiding in NGC 1277.


title:
Study of complex properties of binary system of ethanol-methanol at
  extreme concentrations

abstract:
  At low concentrations of methanol in ethanol-methanol binary system, the
molecular interactions are seen to be uniquely complex. It is observed that the
ethanol aggregates are not strictly hydrogen-bonded complexes; dispersion
forces also play a dominant role in the self- association of ethanol molecules.
On the addition of small amount of methanol to ethanol, the dipolar association
of ethanol is destroyed. The repulsive forces between the two moieties dominate
the behavior of the binary system at lower concentration of methanol. At higher
concentration of methanol (> 30%), the strength and extent (number) of
formation of hydrogen bonds between ethanol and methanol increases. The
geometry of molecular structure at high concentration favors the fitting of
component molecules with each other. Intermolecular interactions in the
ethanol-methanol binary system over the entire concentration range were
investigated in detail using broadband dielectric spectroscopy, FTIR, surface
tension and refractive index studies. Molecular Dynamics simulations show that
the hydrogen bond density is a direct function of the number of methanol
molecules present, as the ethanol aggregates are not strictly hydrogen-bond
constructed which is in agreement with the experimental results.


title: On asymptotic property C

abstract:
  Asymptotic property C was introduced by Dranishnikov to study spaces with
infinite asymptotic dimension. We show that asymptotic property C is preserved
by infinite products. We also show that countable restricted direct products of
countable groups with finite asymptotic dimension have asymptotic property C.
Then we introduce hyperbolic property C, an infinite dimensional version of
hyperbolic dimension.


title:
Axially symmetric, asymptotically flat vacuum metric with a naked
  singularity and closed timelike curves

abstract:
  We present an axially symmetric, asymptotically flat empty space solution of
the Einstein field equations containing a naked singularity. The spacetime is
regular everywhere except on the symmetry axis where it possess a true
curvature singularity. The spacetime is of type D in the Petrov classification
scheme and is locally isometric to the metrics of case IV in the Kinnersley
classification of type D vacuum metrics. Additionally, the spacetime also shows
the evolution of closed timelike curves (CTCs) from an initial hypersurface
free from CTCs.


title: Monte Carlo Tableau Proof Search

abstract:
  We study Monte Carlo Tree Search to guide proof search in tableau calculi.
This includes proposing a number of proof-state evaluation heuristics, some of
which are learnt from previous proofs. We present an implementation based on
the leanCoP prover. The system is trained and evaluated on a large suite of
related problems coming from the Mizar proof assistant, showing that it is
capable to find new and different proofs.


title:
Almost-Polynomial Ratio ETH-Hardness of Approximating Densest
  $k$-Subgraph

abstract:
  In the Densest $k$-Subgraph problem, given an undirected graph $G$ and an
integer $k$, the goal is to find a subgraph of $G$ on $k$ vertices that
contains maximum number of edges. Even though the state-of-the-art algorithm
for the problem achieves only $O(n^{1/4 + \varepsilon})$ approximation ratio
(Bhaskara et al., 2010), previous attempts at proving hardness of
approximation, including those under average case assumptions, fail to achieve
a polynomial ratio; the best ratios ruled out under any worst case assumption
and any average case assumption are only any constant (Raghavendra and Steurer,
2010) and $2^{\Omega(\log^{2/3} n)}$ (Alon et al., 2011) respectively.
  In this work, we show, assuming the exponential time hypothesis (ETH), that
there is no polynomial-time algorithm that approximates Densest $k$-Subgraph to
within $n^{1/(\log \log n)^c}$ factor of the optimum, where $c > 0$ is a
universal constant independent of $n$. In addition, our result has "perfect
completeness", meaning that we prove that it is ETH-hard to even distinguish
between the case in which $G$ contains a $k$-clique and the case in which every
induced $k$-subgraph of $G$ has density at most $1/n^{-1/(\log \log n)^c}$ in
polynomial time.
  Moreover, if we make a stronger assumption that there is some constant
$\varepsilon > 0$ such that no subexponential-time algorithm can distinguish
between a satisfiable 3SAT formula and one which is only $(1 -
\varepsilon)$-satisfiable (also known as Gap-ETH), then the ratio above can be
improved to $n^{f(n)}$ for any function $f$ whose limit is zero as $n$ goes to
infinity (i.e. $f \in o(1)$).


title:
Secure and Energy-Efficient Beamforming for Simultaneous Information and
  Energy Transfer

abstract:
  Next-generation communication networks will likely involve the
energy-efficient transfer of information and energy over the same wireless
channel, for which the physical layer will become more vulnerable to cyber
attacks by potential multi-antenna eavesdroppers. To address this issue, this
paper considers transmit time-switching (TS) mode, in which energy and
information signals are transmitted separately in time by the BS. This protocol
is not only easy to implement but also delivers the opportunity of
multi-purpose beamforming, in which energy beamformers during wireless power
transfer are useful in jamming the eavesdropper. In the presence of imperfect
channel estimation and multi-antenna eavesdroppers, the energy and information
beamformers and the transmit TS ratio are jointly optimized to maximize the
worst-case user secrecy rate subject to UEs' harvested energy thresholds and a
BS transmit power budget. New robust path-following algorithms, which involve
one simple convex quadratic program at each iteration are proposed for
computational solutions of this difficult optimization problem and also the
problem of secure energy efficiency maximization. The latter is further complex
due to additional optimization variables appearing in the denominator of the
secrecy rate function. Numerical results confirm that the performance of the
proposed computational solutions is robust against the channel uncertainties.


title: On spectra of probability measures generated by GLS-expansions

abstract:
  We study properties of distributions of random variables with independent
identically distributed symbols of generalized L\"{u}roth series (GLS)
expansions (the family of GLS-expansions contains L\"{u}roth expansion and
$Q_{\infty}$- and $G_{\infty}^2$-expansions). To this end, we explore fractal
properties of the family of Cantor-like sets $C[\mathit{GLS},V]$ consisting of
real numbers whose GLS-expansions contain only symbols from some countable set
$V\subset N\cup\{0\}$, and derive exact formulae for the determination of the
Hausdorff--Besicovitch dimension of $C[\mathit{GLS},V]$. Based on these
results, we get general formulae for the Hausdorff--Besicovitch dimension of
the spectra of random variables with independent identically distributed
GLS-symbols for the case where all but countably many points from the unit
interval belong to the basis cylinders of GLS-expansions.


title:
A Dissection of the Test-Driven Development Process: Does It Really
  Matter to Test-First or to Test-Last?

abstract:
  Background: Test-driven development (TDD) is a technique that repeats short
coding cycles interleaved with testing. The developer first writes a unit test
for the desired functionality, followed by the necessary production code, and
refactors the code. Many empirical studies neglect unique process
characteristics related to TDD iterative nature. Aim: We formulate four process
characteristic: sequencing, granularity, uniformity, and refactoring effort. We
investigate how these characteristics impact quality and productivity in TDD
and related variations. Method: We analyzed 82 data points collected from 39
professionals, each capturing the process used while performing a specific
development task. We built regression models to assess the impact of process
characteristics on quality and productivity. Quality was measured by functional
correctness. Result: Quality and productivity improvements were primarily
positively associated with the granularity and uniformity. Sequencing, the
order in which test and production code are written, had no important
influence. Refactoring effort was negatively associated with both outcomes. We
explain the unexpected negative correlation with quality by possible prevalence
of mixed refactoring. Conclusion: The claimed benefits of TDD may not be due to
its distinctive test-first dynamic, but rather due to the fact that TDD-like
processes encourage fine-grained, steady steps that improve focus and flow.


title: Wireless-powered relaying with finite block-length codes

abstract:
  This paper studies the outage probability and the throughput of
amplify-and-forward relay networks with wireless information and energy
transfer. We use some recent results on finite block-length codes to analyze
the system performance in the cases with short codewords. Specifically, the
time switching relaying and the power splitting relaying protocols are
considered for energy and information transfer. We derive tight approximations
for the outage probability/throughput. Then, we analyze the outage probability
in asymptotically high signal-to-noise ratios. Finally, we use numerical
results to confirm the accuracy of our analysis and to evaluate the system
performance in different scenarios. Our results indicate that, in
delay-constrained scenarios, the codeword length affects the outage
probability/throughput of the joint energy and information transfer systems
considerably.


title:
Global viscosity solutions for eikonal equations on class A Lorentzian
  2-tori

abstract:
  On the Abelian cover $(\mathbb{R}^{2},g)$ of a class A Lorentzian 2-torus
$(\mathbb{T}^{2},g)$, we showed the existence of global viscosity solutions to
the eikonal equation
  $$ g(\nabla u,\nabla u)=-1
  $$ associated to those homologies in the interior of the homology cone. Some
other related dynamical properties are also considered. As an application of
the main results, we study the differentiability of the unit sphere of the
stable time separation associated to the class A Lorentzian 2-torus.


title:
Fisher information of a squeezed-state interferometer with a finite
  photon-number resolution

abstract:
  Squeezed-state interferometry plays an important role in quantum-enhanced
optical phase estimation, as it allows the estimation precision to be improved
up to the Heisenberg limit by using ideal photon-number-resolving detectors at
the output ports. Here we show that for each individual $N$-photon component of
the phase-matched coherent $\otimes$ squeezed vacuum input state, the classical
Fisher information always saturates the quantum Fisher information. Moreover,
the total Fisher information is the sum of the contributions from each
individual $N$-photon components, where the largest $N$ is limited by the
finite number resolution of available photon counters. Based on this
observation, we provide an approximate analytical formula that quantifies the
amount of lost information due to the finite photon number resolution, e.g.,
given the mean photon number $\bar{n}$ in the input state, over $96$ percent of
the Heisenberg limit can be achieved with the number resolution larger than
$5\bar{n}$.


title:
Weak Decoupling, Polynomial Folds, and Approximate Optimization over the
  Sphere

abstract:
  We consider the following basic problem: given an $n$-variate degree-$d$
homogeneous polynomial $f$ with real coefficients, compute a unit vector $x \in
\mathbb{R}^n$ that maximizes $|f(x)|$. Besides its fundamental nature, this
problem arises in diverse contexts ranging from tensor and operator norms to
graph expansion to quantum information theory. The homogeneous degree $2$ case
is efficiently solvable as it corresponds to computing the spectral norm of an
associated matrix, but the higher degree case is NP-hard.
  We give approximation algorithms for this problem that offer a trade-off
between the approximation ratio and running time: in $n^{O(q)}$ time, we get an
approximation within factor $O_d((n/q)^{d/2-1})$ for arbitrary polynomials,
$O_d((n/q)^{d/4-1/2})$ for polynomials with non-negative coefficients, and
$O_d(\sqrt{m/q})$ for sparse polynomials with $m$ monomials. The approximation
guarantees are with respect to the optimum of the level-$q$ sum-of-squares
(SoS) SDP relaxation of the problem. Known polynomial time algorithms for this
problem rely on "decoupling lemmas." Such tools are not capable of offering a
trade-off like our results as they blow up the number of variables by a factor
equal to the degree. We develop new decoupling tools that are more efficient in
the number of variables at the expense of less structure in the output
polynomials. This enables us to harness the benefits of higher level SoS
relaxations.
  We complement our algorithmic results with some polynomially large
integrality gaps, albeit for a slightly weaker (but still very natural)
relaxation. Toward this, we give a method to lift a level-$4$ solution matrix
$M$ to a higher level solution, under a mild technical condition on $M$.


title: Stochastic wave equation in a plane driven by spatial stable noise

abstract:
  The main object of this paper is the planar wave equation
\[\bigg(\frac{\partial^2}{\partial t^2}-a^2\varDelta\bigg)U(x,t)=f(x,t),\quad
t\ge0, x\in \mathbb {R}^2,\] with random source $f$. The latter is, in certain
sense, a symmetric $\alpha$-stable spatial white noise multiplied by some
regular function $\sigma$. We define a candidate solution $U$ to the equation
via Poisson's formula and prove that the corresponding expression is well
defined at each point almost surely, although the exceptional set may depend on
the particular point $(x,t)$. We further show that $U$ is H\"{o}lder continuous
in time but with probability 1 is unbounded in any neighborhood of each point
where $\sigma$ does not vanish. Finally, we prove that $U$ is a generalized
solution to the equation.


title:
Description of the $^{11}$Li$(p,d){^{10}}$Li transfer reaction using
  structure overlaps from a full three-body model

abstract:
  Recent data on the differential angular distribution for the transfer
reaction $^{11}$Li(p,d)$^{10}$Li at $E/A=5.7$ MeV in inverse kinematics are
analysed within the DWBA reaction framework, using the overlap functions
calculated within a three-body model of $^{11}$Li. The weight of the different
$^{10}$Li configurations in the system's ground state is obtained from the
structure calculations unambiguously. The effect of the $^{9}$Li spin in the
calculated observables is also investigated. We find that, although all the
considered models succeed in reproducing the shape of the data, the magnitude
is very sensitive to the content of $p_{1/2}$ wave in the $^{11}$Li
ground-state wave function. Among the considered models, the best agreement
with the data is obtained when the $^{11}$Li ground state contains a $\sim$31\%
of $p_{1/2}$ wave in the $n$-$^9$Li subsystem. Although this model takes into
account explicitly the splitting of the $1^+$ and $2^+$ resonances due to the
coupling of the $p_{1/2}$ wave to the $3/2^-$ spin of the core, a similar
degree of agreement can be achieved with a model in which the $^{9}$Li spin is
ignored, provided that it contains a similar p-wave content.


title:
On the homogenization of the Helmholtz problem with thin perforated
  walls of finite length

abstract:
  In this work, we present a new solution representation for the Helmholtz
transmission problem in a bounded domain in $\mathbb{R}^2$ with a thin and
periodic layer of finite length. The layer may consists of a periodic
pertubation of the material coefficients or it is a wall modelled by boundary
conditions with an periodic array of small perforations. We consider the
periodicity in the layer as the small variable $\delta$ and the thickness of
the layer to be at the same order. Moreover we assume the thin layer to
terminate at re-entrant corners leading to a singular behaviour in the
asymptotic expansion of the solution representation. This singular behaviour
becomes visible in the asymptotic expansion in powers of $\delta$ where the
powers depend on the opening angle. We construct the asymptotic expansion order
by order. It consists of a macroscopic representation away from the layer, a
boundary layer corrector in the vicinity of the layer, and a near field
corrector in the vicinity of the end-points. The boundary layer correctors and
the near field correctors are obtained by the solution of canonical problems
based, respectively, on the method of periodic surface homogenization and on
the method of matched asymptotic expansions. This will lead to transmission
conditions for the macroscopic part of the solution on an infinitely thin
interface and corner conditions to fix the unbounded singular behaviour at its
end-points. Finally, theoretical justifications of the second order expansion
are given and illustrated by numerical experiments. The solution representation
introduced in this article can be used to compute a highly accurate
approximation of the solution with a computational effort independent of the
small periodicity $\delta$.


title: Averaged deviations of Orlicz processes and majorizing measures

abstract:
  This paper is devoted to investigation of supremum of averaged deviations
$|X(t)-f(t)-\int_{\mathbb {T}}(X(u)-f(u))\,\mathrm {d}\mu(u)/\mu(\mathbb {T})|$
of a stochastic process from Orlicz space of random variables using the method
of majorizing measures. An estimate of distribution of supremum of deviations
$|X(t)-f(t)|$ is derived. A special case of the $L_q$ space is considered. As
an example, the obtained results are applied to stochastic processes from the
$L_2$ space with known covariance functions.


title:
Charge Density Waves and the Hidden Nesting of Purple Bronze
  K$_{0.9}$Mo$_6$O$_{17}$

abstract:
  We introduce the first multiorbital effective tight-binding model to describe
the effect of electron-electron interactions in this system. Upon fixing all
the effective hopping parameters in the normal state against an ab initio band
structure, and with only the overall scale of the interactions as the sole
adjustable parameter, we find that a self-consistent Hartree-Fock solution
reproduces extremely well the experimental behavior of the charge density wave
(CDW) order parameter in the full range $0<T<T_{\text{c}}$, as well as the
precise reciprocal space locations of the partial gap opening and Fermi arc
development. The interaction strengths extracted from fitting to the
experimental CDW gap are consistent with those derived from an independent
Stoner-type analysis.


title: Ultra-high-density local structure of liquid water

abstract:
  The local structure of liquid water plays a key role in determining the
anomalous properties of water. We run all-atom simulations for three
microscopic water models, and use multiple order parameters to analyse the
local structure of water. We identify three types of local structures. In
addition to the well known low-density-liquid and high-density-liquid
structures, the newly identified third type possesses an ultra high density and
overcoordinated H-bonds. The existence of this third type decreases the rate of
transition from the high-density-structure to low-density-structure and
increases the rate of the reverse one, leading to the enhancement of the
high-density-structure stability.


title:
Comment on "Critique and correction of the currently accepted solution
  of the infinite spherical well in quantum mechanics" by Huang Young-Sea and
  Thomann Hans-Rudolph

abstract:
  We comment on the paper "Critique and correction of the currently accepted
solution of the infinite spherical well in quantum mechanics" by Huang
Young-Sea and Thomann Hans-Rudolph, EPL 115, 60001 (2016) .


title: An analysis of a minimal vectorlike extension of the Standard Model

abstract:
  We analyze an extension of the Standard Model with an additional SU(2)
hypercolor gauge group keeping the Higgs boson as a fundamental field.
Vectorlike interactions of new hyperquarks with the intermediate vector bosons
are explicitly constructed. We also consider pseudo-Nambu--Goldstone bosons
caused by the symmetry breaking SU(4)-> Sp(4). A specific global symmetry of
the model with zero hypercharge of the hyperquark doublets ensures the
stability of a neutral pseudoscalar field. Some possible manifestations of the
lightest states at colliders are also examined.


title:
Searches for top-antitop quark resonances at $\sqrt{s}=13~\mathrm{TeV}$
  with the CMS detector

abstract:
  We present the first results on searches for new massive resonances decaying
to a top-antitop quark ($t\bar{t}$) pair with the CMS detector at the LHC in
proton-proton collisions with a center of mass energy of
$\sqrt{s}=13~\mathrm{TeV}$. The data set considered corresponds to an
integrated luminosity of $2.6~\mathrm{fb}^{-1}$ recorded during the the first
year of the LHC Run-2. Searches are performed by measuring the invariant mass
distribution of the $t\bar{t}$ system in semileptonic and fully-hadronic final
states. Dedicated techniques are used to identify the decay of highly-boosted
top quarks in order to maximize the analyses' sensitivity for $t\bar{t}$
resonances with a mass above the TeV scale. No significant excess is observed
in the data compared to the expected SM background and exclusion limits are set
on the cross section of a $t\bar{t}$ resonance in various new physics
scenarios.


title: Multi-User Millimeter Wave MIMO with Full-Dimensional Lens Antenna Array

abstract:
  Millimeter wave (mmWave) communication by utilizing lens antenna arrays is a
promising technique for realizing cost-effective 5G wireless systems with large
MIMO (multiple-input multiple-output) but only limited radio frequency (RF)
chains. This paper studies an uplink multi-user mmWave single-sided lens MIMO
system, where only the base station (BS) is equipped with a full-dimensional
(FD) lens antenna array with both elevation and azimuth angle resolution
capabilities, and each mobile station (MS) employs the conventional uniform
planar array (UPA) without the lens. By exploiting the angle-dependent energy
focusing property of the lens antenna array at the BS as well as the multi-path
sparsity of mmWave channels, we propose a low-complexity path division multiple
access (PDMA) scheme, which enables virtually interference-free multi-user
communications when the angle of arrivals (AoAs) of all MS multi-path signals
are sufficiently separable at the BS. To this end, a new technique called path
delay compensation is proposed at the BS to effectively transform the
multi-user frequency-selective MIMO channels to parallel frequency-flat
small-size MIMO channels for different MSs, for each of which the
low-complexity single-carrier(SC) transmission is applied. For general
scenarios with insufficient AoA separations, analog beamforming at the MSs and
digital combining at the BS are jointly designed to maximize the achievable
sum-rate of the MSs based on their effective MIMO channels resulting from path
delay compensation. In addition, we propose a new and efficient channel
estimation scheme tailored for PDMA, which requires negligible training
overhead in practical mmWave systems and yet leads to comparable performance as
that based on perfect channel state information (CSI).


title: Fuzzy Statistical Matrices for Cell Classification

abstract:
  In this paper, we generalize image (texture) statistical descriptors and
propose algorithms that improve their efficacy. Recently, a new method showed
how the popular Co-Occurrence Matrix (COM) can be modified into a fuzzy version
(FCOM) which is more effective and robust to noise. Here, we introduce new
fuzzy versions of two additional higher order statistical matrices: the Run
Length Matrix (RLM) and the Size Zone Matrix (SZM). We define the fuzzy zones
and propose an efficient algorithm to compute the descriptors. We demonstrate
the advantage of the proposed improvements over several state-of-the-art
methods on three tasks from quantitative cell biology: analyzing and
classifying Human Epithelial type 2 (HEp-2) cells using Indirect
Immunofluorescence protocol (IFF).


title: Value-at-Risk Prediction in R with the GAS Package

abstract:
  GAS models have been recently proposed in time-series econometrics as
valuable tools for signal extraction and prediction. This paper details how
financial risk managers can use GAS models for Value-at-Risk (VaR) prediction
using the novel GAS package for R. Details and code snippets for prediction,
comparison and backtesting with GAS models are presented. An empirical
application considering Dow Jones Index constituents investigates the VaR
forecasting performance of GAS models.


title:
Online Visual Multi-Object Tracking via Labeled Random Finite Set
  Filtering

abstract:
  This paper proposes an online visual multi-object tracking algorithm using a
top-down Bayesian formulation that seamlessly integrates state estimation,
track management, clutter rejection, occlusion and mis-detection handling into
a single recursion. This is achieved by modeling the multi-object state as
labeled random finite set and using the Bayes recursion to propagate the
multi-object filtering density forward in time. The proposed filter updates
tracks with detections but switches to image data when mis-detection occurs,
thereby exploiting the efficiency of detection data and the accuracy of image
data. Furthermore the labeled random finite set framework enables the
incorporation of prior knowledge that mis-detections of long tracks which occur
in the middle of the scene are likely to be due to occlusions. Such prior
knowledge can be exploited to improve occlusion handling, especially long
occlusions that can lead to premature track termination in on-line multi-object
tracking. Tracking performance are compared to state-of-the-art algorithms on
well-known benchmark video datasets.


title:
Adaptive Multilevel Monte Carlo Methods for Stochastic Variational
  Inequalities

abstract:
  While multilevel Monte Carlo (MLMC) methods for the numerical approximation
of partial differential equations with random coefficients enjoy great
popularity, combinations with spatial adaptivity seem to be rare. We present an
adaptive MLMC finite element approach based on deterministic adaptive mesh
refinement for the arising "pathwise" problems and outline a convergence theory
in terms of desired accuracy and required computational cost. Our theoretical
and heuristic reasoning together with the efficiency of our new approach are
confirmed by numerical experiments.


title: Improving training of deep neural networks via Singular Value Bounding

abstract:
  Deep learning methods achieve great success recently on many computer vision
problems, with image classification and object detection as the prominent
examples. In spite of these practical successes, optimization of deep networks
remains an active topic in deep learning research. In this work, we focus on
investigation of the network solution properties that can potentially lead to
good performance. Our research is inspired by theoretical and empirical results
that use orthogonal matrices to initialize networks, but we are interested in
investigating how orthogonal weight matrices perform when network training
converges. To this end, we propose to constrain the solutions of weight
matrices in the orthogonal feasible set during the whole process of network
training, and achieve this by a simple yet effective method called Singular
Value Bounding (SVB). In SVB, all singular values of each weight matrix are
simply bounded in a narrow band around the value of 1. Based on the same
motivation, we also propose Bounded Batch Normalization (BBN), which improves
Batch Normalization by removing its potential risk of ill-conditioned layer
transform. We present both theoretical and empirical results to justify our
proposed methods. Experiments on benchmark image classification datasets show
the efficacy of our proposed SVB and BBN. In particular, we achieve the
state-of-the-art results of 3.06% error rate on CIFAR10 and 16.90% on CIFAR100,
using off-the-shelf network architectures (Wide ResNets). Our preliminary
results on ImageNet also show the promise in large-scale learning.


title:
Dissipation phenomena and magnetic phase diagram of Cu$_2$OSeO$_3$ below
  50 K

abstract:
  The magnetic phase diagram of the chiral magnet Cu$_2$OSeO$_3$ has been
investigated by dc magnetisation and ac susceptibility over a very large
frequency range from 0.1 Hz up to 1 kHz and temperatures below 50 K.
Qualitatively different phase diagrams have been obtained by applying the
magnetic field along the easy $\langle100\rangle$ or the hard
$\langle110\rangle$ crystallographic directions. Strong $\chi"$ appears close
to $B_{c2}$, but only below 30 K and is more pronounced when $B$ is applied
along $\langle100\rangle$. In addition, the transition from the helical to the
conical phase leads to two adjacent $B_{c1}$ lines below 50 K. The frequency
dependence of $\chi"$ indicates the existence of very broad distributions of
relaxation times both at $B_{c1}$ and $B_{c2}$. The associated very long
characteristic times eventually prevent the system from reaching thermal
equilibrium at low temperatures and lead to thermal hysteresis.


title:
Scaling Relations in Coronal Mass Ejections and Energetic Proton Events
  associated with Solar Superflares

abstract:
  In order to discuss the potential impact of solar 'superflares' on space
weather, we investigated statistical relations among energetic proton peak flux
with energy higher than $ 10 \rm MeV$ ($F_p$), CME speed near the Sun
($V_{CME}$) obtained by {\it SOHO}/LASCO coronagraph and flare soft X-ray peak
flux in 1-8\AA band ($F_{SXR}$) during 110 major solar proton events (SPEs)
recorded from 1996 to 2014. The linear regression fit results in the scaling
relations $V_{CME} \propto F_{SXR}^\alpha$, $F_p\propto F_{SXR}^\beta$ and
$F_p\propto V_{CME}^\gamma$ with $\alpha = 0.30\pm 0.04$, $\beta = 1.19 \pm
0.08$ and $\gamma = 4.35 \pm 0.50$, respectively. On the basis of simple
physical assumptions, on the other hand, we derive scaling relations expressing
CME mass ($M_{CME}$), CME speed and energetic proton flux in terms of total
flare energy ($E_{flare}$) as, $M_{CME}\propto E_{flare}^{2/3}$,
$V_{CME}\propto E_{flare}^{1/6}$ and $F_{p}\propto E_{flare}^{5/6}\propto
V_{CME}^5$, respectively. We then combine the derived scaling relations with
observation, and estimated the upper limit of $V_{CME}$ and $F_p$ to be
associated with possible solar superflares.


title:
Chern numbers, localisation and the bulk-edge correspondence for
  continuous models of topological phases

abstract:
  In order to study continuous models of disordered topological phases, we
construct an unbounded Kasparov module and a semifinite spectral triple for the
crossed product of a separable $C^*$-algebra by a twisted
$\mathbb{R}^d$-action. The spectral triple allows us to employ the non-unital
local index formula to obtain the higher Chern numbers in the continuous
setting with complex observable algebra. In addition, the pairing can be
extended to a larger algebra closely related to dynamical localisation, as in
the tight-binding approximation. The Kasparov module allows us to exploit the
Wiener-Hopf extension and the Kasparov product to obtain a bulk-boundary
correspondence for continuous models of disordered topological phases.


abstract:
  We give a generalization of Beurling's theorem for the Clifford-Fourier
transform. Then, analogues of Hardy, Cowling-Price and Gelfand-Shilov theorems
are obtained in Clifford analysis.


title:
Surface acoustic wave unidirectional transducers for quantum
  applications

abstract:
  The conversion efficiency of electric microwave signals into surface acoustic
waves in different types of superconducting transducers is studied with the aim
of quantum applications. We compare delay lines containing either conventional
symmetric transducers (IDTs) or unidirectional transducers (UDTs) at 2.3 GHz
and 10 mK. The UDT delay lines improve the insertion loss with 4.7 dB and a
directivity of 22 dB is found for each UDT, indicating that 99.4 % of the
acoustic power goes in the desired direction. The power lost in the undesired
direction accounts for more than 90 % of the total loss in IDT delay lines, but
only ~3 % percent of the total loss in the FEUDT delay lines.


title: Correlation inequalities for classical and quantum XY models

abstract:
  We review correlation inequalities of truncated functions for the classical
and quantum XY models. A consequence is that the critical temperature of the XY
model is necessarily smaller than that of the Ising model, in both the
classical and quantum cases. We also discuss an explicit lower bound on the
critical temperature of the quantum XY model.


title: QCD-inspired determination of NJL model parameters

abstract:
  The QCD phase diagram at finite temperature and density has attracted
considerable interest over many decades now, not least because of its relevance
for a better understanding of heavy-ion collision experiments. Models provide
some insight into the QCD phase structure but usually rely on various
parameters. Based on renormalization group arguments, we discuss how the
parameters of QCD low-energy models can be determined from the fundamental
theory of the strong interaction. We particularly focus on a determination of
the temperature dependence of these parameters in this work and comment on the
effect of a finite quark chemical potential. We present first results and argue
that our findings can be used to improve the predictive power of future model
calculations.


title: A perturbative approach to Lagrangian flow networks

abstract:
  Complex network approaches have been successfully applied for studying
transport processes in complex systems ranging from road, railway or airline
infrastructure over industrial manufacturing to fluid dynamics. Here, we
utilize a generic framework for describing the dynamics of geophysical flows
such as ocean currents or atmospheric wind fields in terms of Lagrangian flow
networks. In this approach, information on the passive advection of particles
is transformed into a Markov chain based on transition probabilities of
particles between the volume elements of a given partition of space for a fixed
time step. We employ perturbation-theoretic methods to investigate the effects
of modifications of transport processes in the underlying flow for three
different problem classes: efficient absorption (corresponding to particle
trapping or leaking), constant input of particles (with additional source terms
modeling, e.g., localized contamination), and shifts of the steady state under
probability mass conservation (as arising if the background flow is perturbed
itself). Our results demonstrate that in all three cases, changes to the steady
state solution can be analytically expressed in terms of the eigensystem of the
unperturbed flow and the perturbation itself. These results are potentially
relevant for developing more efficient strategies for coping with
contaminations of fluid or gaseous media such as ocean and atmosphere by oil
spills, radioactive substances, non-reactive chemicals or volcanic aerosols.


title:
Connecting blazars with ultra high energy cosmic rays and astrophysical
  neutrinos

abstract:
  We present a strong hint of a connection between high energy $\gamma$-ray
emitting blazars, very high energy neutrinos, and ultra high energy cosmic
rays. We first identify potential hadronic sources by filtering $\gamma$-ray
emitters %from existing catalogs that are in spatial coincidence with the high
energy neutrinos detected by IceCube. The neutrino filtered $\gamma$-ray
emitters are then correlated with the ultra high energy cosmic rays from the
Pierre Auger Observatory and the Telescope Array by scanning in $\gamma$-ray
flux ($F_{\gamma}$) and angular separation ($\theta$) between sources and
cosmic rays. A maximal excess of 80 cosmic rays (42.5 expected) is found at
$\theta\leq10^{\circ}$ from the neutrino filtered $\gamma$-ray emitters
selected from the second hard {\it Fermi}-LAT catalogue (2FHL) and for
$F_\gamma\left(>50\:\mathrm{GeV}\right)\geq1.8\times10^{-11}\:\mathrm{ph}\,\mathrm{cm}^{-2}\,\mathrm{s}^{-1}$.
The probability for this to happen is $2.4 \times 10^{-5}$, which translates to
$\sim 2.4 \times 10^{-3}$ after compensation for all the considered trials. No
excess of cosmic rays is instead observed for the complement sample of
$\gamma$-ray emitters (i.e. not in spatial connection with IceCube neutrinos).
A likelihood ratio test comparing the connection between the neutrino filtered
and the complement source samples with the cosmic rays favours a connection
between neutrino filtered emitters and cosmic rays with a probability of
$\sim1.8\times10^{-3}$ ($2.9\sigma)$ after compensation for all the considered
trials. The neutrino filtered $\gamma$-ray sources that make up the cosmic rays
excess are blazars of the high synchrotron peak type. More statistics is needed
to further investigate these sources as candidate cosmic ray and neutrino
emitters.


title:
Radio pulse search and X-Ray monitoring of SAX J1808.4-3658: What Causes
  its Orbital Evolution?

abstract:
  The accreting millisecond X-ray pulsar (AMXP) SAX J1808.4-3658, shows a
peculiar orbital evolution that proceeds at a much faster pace than predicted
by conservative binary evolution models. It is important to identify the
underlying mechanism responsible for this behavior because it can help to
understand how this system evolves. It has also been suggested that, when in
quiescence, SAX J1808.4-3658 turns on as a radio pulsar, a circumstance that
might provide a link between AMXPs and black-widow radio pulsars. In this work
we report the results of a deep radio pulsation search at 2 GHz using the Green
Bank Telescope in August 2014 and an X-ray monitoring of the 2015 outburst with
Chandra, Swift, and INTEGRAL. In particular, we present the X-ray timing
analysis of a 30-ks Chandra observation executed during the 2015 outburst. We
detect no radio pulsations, and place the strongest limit to date on the pulsed
radio flux density of any AMXP. We also find that the orbit of SAX J1808.4-3658
continues evolving at a fast pace and we compare it to the bhevior of other
accreting and non-accreting binaries. We discuss two scenarios: either the
neutron star has a large moment of inertia (I>1.7x10^45 g cm^2) and is ablating
the donor (by using its spin-down power) thus generating mass-loss with an
efficiency of 40% or the donor star is undergoing quasi-cyclic variations due
to a varying mass-quadrupole induced by either a strong (1 kG) field or by some
unidentified mechanism probably linked to irradiation.


title:
Carleman estimates and null controllability for a degenerate population
  model

abstract:
  We deal with a degenerate model describing the dynamics of a population
depending on time, on age and on space. We assume that the degeneracy can occur
at the boundary or in the interior of the space domain and we focus on null
controllability problem. To this aim, we prove first Carleman estimates for the
associated adjoint problem, then, via cut off functions, we prove the existence
of a null control function localized in the interior of the space domain.


title: Solar-system tests of the relativistic gravity

abstract:
  In 1859, Le Verrier discovered the Mercury perihelion advance anomaly. This
anomaly turned out to be the first relativistic-gravity effect observed. During
the 157 years to 2016, the precisions and accuracies of laboratory and space
experiments, and of astrophysical and cosmological observations on relativistic
gravity have been improved by 3-4 orders of magnitude. The improvements have
been mainly from optical observations at first followed by radio observations.
The achievements for the past 50 years are from radio Doppler tracking and
radio ranging together with lunar laser ranging. At the present, the radio
observations and lunar laser ranging experiments are similar in the accuracy of
testing relativistic gravity. We review and summarize the present status of
solar-system tests of relativistic gravity. With planetary laser ranging,
spacecraft laser ranging and interferometric laser ranging (laser Doppler
ranging) together with the development of drag-free technology, the optical
observations will improve the accuracies by another 3-4 orders of magnitude in
both the equivalence principle tests and solar-system dynamics tests of
relativistic gravity. Clock tests and atomic interferometry tests of
relativistic gravity will reach an ever-increasing precision. These will give
crucial clues in both experimental and theoretical aspects of gravity, and may
lead to answers to some profound issues in gravity and cosmology.


title: Cross Domain Knowledge Transfer for Person Re-identification

abstract:
  Person Re-Identification (re-id) is a challenging task in computer vision,
especially when there are limited training data from multiple camera views. In
this paper, we pro- pose a deep learning based person re-identification method
by transferring knowledge of mid-level attribute features and high-level
classification features. Building on the idea that identity classification,
attribute recognition and re- identification share the same mid-level semantic
representations, they can be trained sequentially by fine-tuning one based on
another. In our framework, we train identity classification and attribute
recognition tasks from deep Convolutional Neural Network (dCNN) to learn person
information. The information can be transferred to the person re-id task and
improves its accuracy by a large margin. Further- more, a Long Short Term
Memory(LSTM) based Recurrent Neural Network (RNN) component is extended by a
spacial gate. This component is used in the re-id model to pay attention to
certain spacial parts in each recurrent unit. Experimental results show that
our method achieves 78.3% of rank-1 recognition accuracy on the CUHK03
benchmark.


title:
Chemical evolution of the Universe at 0.7 < z < 1.6 derived from
  abundance diagnostics of the broad-line region of quasars

abstract:
  We present an analysis of Mg II $\lambda2798$ and Fe II UV emission lines for
archival Sloan Digital Sky Survey (SDSS) quasars to explore diagnostics of the
magnesium-to-iron abundance ratio in a broad-line region cloud. Our sample
consists of 17,432 quasars selected from the SDSS Data Release 7 with a
redshift range of $0.72 < z < 1.63$. A strong anticorrelation between Mg II
equivalent width (EW) and the Eddington ratio is found, while only a weak
positive correlation is found between Fe II EW and the Eddington ratio. To
investigate the origin of these differing behaviors of Mg II and Fe II emission
lines, we have performed photoionization calculations using the Cloudy code,
where constraints from recent reverberation mapping studies are considered. We
find from calculations that (i) Mg II and Fe II emission lines are created at
different regions in a photoionized cloud, and (ii) their EW correlations with
the Eddington ratio can be explained by just changing the cloud gas density.
These results indicate that the Mg II/Fe II flux ratio, which has been used as
a first-order proxy for the Mg/Fe abundance ratio in chemical evolution studies
with quasar emission lines, depends largely on the cloud gas density. By
correcting this density dependence, we propose new diagnostics of the Mg/Fe
abundance ratio for a broad line region cloud. Comparing the derived Mg/Fe
abundance ratios with chemical evolution models, we suggest that
$\alpha$-enrichment by mass loss from metal-poor intermediate-mass stars
occurred at $z\sim2$ or earlier.


title: Entanglement in macroscopic systems

abstract:
  We present a theoretical study of entanglement in ensembles consisting of an
arbitrary number of particles. Multipartite entanglement criteria in terms of
observables are formulated for a fixed number of particles as well as for
systems with a fluctuating particle number. To access the quality of the
verified entanglement, the operational measure of the entanglement visibility
is introduced. As an example, we perform an analytical characterization of
quantum systems composed of interacting harmonic oscillators and witness the
entanglement via energy measurements. Our analysis shows that the detectable
entanglement decays for macroscopic particle numbers without the need for
decoherence processes and for all considered coupling regimes. We further study
thermal states of the given correlated system together with the temperature
dependence of entanglement.


abstract:
  Multiple gaps in the tight-binding band of a pentagonal lattice are found.
Unlike the Cairo pentagonal lattice this lattice is made of irregular pentagons
with arms of different lengths. The tight-binding Hamiltonian is exactly solved
to obtain analytic expressions of dispersion relations and eigenvectors. Four
different band-gaps are identified along with two distinct indirect band-gaps
at the Harrison point. Multiple band-gaps in this model may give rise to exotic
electronic properties.


title:
A microscopic theory for discontinuous shear thickening of frictional
  granular materials

abstract:
  We extend a recent theory for the rheology of frictionless granular materials
[K. Suzuki and H. Hayakawa, Phys. Rev. Lett. 2015, 115, 098001] to the case of
frictional disks in two dimensions. Employing a frictional contact model for
molecular dynamics simulations, we derive difference equations of the shear
stress, the granular temperature, and the spin temperature from the generalized
Green-Kubo formula, where all the terms are given by microscopic expressions.
The numerical solutions of the difference equations not only describe the flow
curve, but also reproduce the hysteresis of shear stress, which can be the
signature of discontinuous shear thickening of frictional disks.


title: Equitable coloring of sparse planar graphs

abstract:
  A proper vertex coloring of a graph $G$ is equitable if the sizes of color
classes differ by at most one. The equitable chromatic threshold
$\chi_{eq}^*(G)$ of $G$ is the smallest integer $m$ such that $G$ is equitably
$n$-colorable for all $n\ge m$. We show that for planar graphs $G$ with minimum
degree at least two, $\chi_{eq}^*(G)\le 4$ if the girth of $G$ is at least
$10$, and $\chi_{eq}^*(G)\le 3$ if the girth of $G$ is at least $14$.


title:
Embeddings of right-angled Artin groups into higher dimensional Thompson
  groups

abstract:
  In this paper, we construct embeddings of right-angled Artin groups into
higher dimensional Thompson groups. In particular, we embed every right-angled
Artin groups into n-dimensional Thompson group, where n is the number of
complementary edges in the defining graph.


title: Holographic flows and thermodynamics of Polyakov loop impurities

abstract:
  We study holographic probes dual to heavy quark impurities interpolating
between fundamental and symmetric/antisymmetric tensor representations in
strongly coupled N=4 supersymmetric gauge theory. These correspond to
non-conformal D3- and D5-brane probe embeddings in AdS_5 x S^5 exhibiting flows
on their world-volumes. By examining the asymptotic regimes of the embeddings
and the one-point function of static fields sourced by the boundary impurity,
we conclude that the D5-brane embedding describes the screening of fundamental
quarks in the UV into an antisymmetric source in the IR, whilst the
non-conformal, D3-brane solution interpolates between the symmetric
representation in the UV and fundamental sources in the IR. The D5-brane
embeddings exhibit nontrivial thermodynamics with multiple branches of
solutions, whilst the thermal analogue of the interpolating D3-brane solution
does not appear to exist.


title: Asymptotic Theory of the Sparse Group LASSO

abstract:
  This paper proposes a general framework for penalized convex empirical
criteria and a new version of the Sparse-Group LASSO (SGL, Simon and al.,
2013), called the adaptive SGL, where both penalties of the SGL are weighted by
preliminary random coefficients. We explore extensively its asymptotic
properties and prove that this estimator satisfies the so-called oracle
property (Fan and Li, 2001), that is the sparsity based estimator recovers the
true underlying sparse model and is asymptotically normally distributed. Then
we study its asymptotic properties in a double-asymptotic framework, where the
number of parameters diverges with the sample size. We show by simulations that
the adaptive SGL outperforms other oracle-like methods in terms of estimation
precision and variable selection.


title: A New Class of Positive Semi-definite Tensors

abstract:
  In this paper, a new class of positive semi-definite tensors, the MO tensor,
is introduced. It is inspired by the structure of Moler matrix, a class of test
matrices. Then we focus on two special cases in the MO-tensors: Sup-MO tensor
and essential MO tensor. They are proved to be positive definite tensors.
Especially, the smallest H-eigenvalue of a Sup-MO tensor is positive and tends
to zero as the dimension tends to infinity, and an essential MO tensor is also
a completely positive tensor.


title:
Action Principles for Relativistic Extended Magnetohydrodynamics: A
  Unified Theory of Magnetofluid Models

abstract:
  Two types of Eulerian action principles for relativistic extended
magnetohydrodynamics (MHD) are formulated. With the first, the action is
extremized under the constraints of density, entropy, and Lagrangian label
conservation, which leads to a Clebsch representation for a generalized
momentum and a generalized vector potential. The second action arises upon
transformation to physical field variables, giving rise to a covariant bracket
action principle, i.e., a variational principle in which constrained variations
are generated by a degenerate Poisson bracket. Upon taking appropriate limits,
the action principles lead to relativistic Hall MHD and well-known relativistic
ideal MHD. For the first time, the Hamiltonian formulation of relativistic Hall
MHD with electron thermal inertia (akin to [Comisso \textit{et al.}, Phys. Rev.
Lett. {\bf 113}, 045001 (2014)] for the electron--positron plasma) is
introduced. This thermal inertia effect allows for violation of the frozen-in
magnetic flux condition in marked contrast to nonrelativistic Hall MHD that
does satisfy the frozen-in condition. We also find violation of the frozen-in
condition is accompanied by freezing-in of an alternative flux determined by a
generalized vector potential. Finally, we derive a more general 3+1 Poisson
bracket for nonrelativistic extended MHD, one that does not assume smallness of
the electron ion mass ratio.


title: Slice regular Malmquist-Takenaka system in the quaternionic Hardy spaces

abstract:
  A slice regular analogue of the Malmquist-Takenaka system is investigated. It
is proved that they form a complete orthonormal system in the quaternionic
Hardy spaces of the unit ball. The properties of associated projection operator
are studied.
  Key Words and Phrases: Functions of hypercomplex variables, quaternionic
Hardy spaces, series expansions, interpolation, approximation by rational
functions, quaternionic Malmquist-Takenaka system


title:
Polynomial self-stabilizing algorithm and proof for a 2/3-approximation
  of a maximum matching

abstract:
  We present the first polynomial self-stabilizing algorithm for finding a
$\frac23$-approximation of a maximum matching in a general graph. The previous
best known algorithm has been presented by Manne \emph{et al.}
\cite{ManneMPT11} and has a sub-exponential time complexity under the
distributed adversarial daemon \cite{Coor}. Our new algorithm is an adaptation
of the Manne \emph{et al.} algorithm and works under the same daemon, but with
a time complexity in $O(n^3)$ moves. Moreover, our algorithm only needs one
more boolean variable than the previous one, thus as in the Manne \emph{et al.}
algorithm, it only requires a constant amount of memory space (three
identifiers and $two$ booleans per node).


title:
Pre-feasibility Study of Astronomical Data Archive Systems Powered by
  Public Cloud Computing and Hadoop Hive

abstract:
  The size of astronomical observational data is increasing yearly. For
example, while Atacama Large Millimeter/submillimeter Array is expected to
generate 200 TB raw data every year, Large Synoptic Survey Telescope is
estimated to produce 15 TB raw data every night. Since the increasing rate of
computing is much lower than that of astronomical data, to provide high
performance computing (HPC) resources together with scientific data will be
common in the next decade. However, the installation and maintenance costs of a
HPC system can be burdensome for the provider. I note public cloud computing
for an alternative way to get sufficient computing resources inexpensively. I
build Hadoop and Hive clusters by utilizing a virtual private server (VPS)
service and Amazon Elastic MapReduce (EMR), and measure their performances. The
VPS cluster behaves differently day by day, while the EMR clusters are
relatively stable. Since partitioning is essential for Hive, several
partitioning algorithms are evaluated. In this paper, I report the results of
the benchmarks and the performance optimizations in cloud computing
environment.


title:
Renormalization of the three-boson system with short-range interactions
  revisited

abstract:
  We consider renormalization of the three-body scattering problem in
low-energy effective field theory of self-interacting scalar particles by
applying time-ordered perturbation theory to the manifestly Lorentz-invariant
formulation. The obtained leading-order equation is perturbatively
renormalizable and non-perturbatively finite and does not require a three-body
counter term in contrast to its non-relativistic approximation.


title: Theory of harmonic dissipation in disordered solids

abstract:
  Mechanical spectroscopy, i.e. cyclic deformations at varying frequencies, is
used theoretically and numerically to measure dissipation in model glasses.
From a normal mode analysis, we show that in the high-frequency THz regime
where dissipation is harmonic, the quality factor (or loss angle) can be
expressed analytically. This expression is validated through non-equilibrium
molecular dynamics simulations applied to a model of amorphous silica
(SiO$_2$). Dissipation is shown to arise from non-affine relaxations triggered
by the applied strain through the excitation of vibrational eigenmodes that act
as damped harmonic oscillators. We discuss an asymmetry vector field, which
encodes the information about the structural origin of dissipation measured by
mechanical spectroscopy. In the particular case of silica, we find that the
motion of oxygen atoms, which induce a deformation of Si-O-Si bonds is the main
contributor to harmonic energy dissipation.


title: Cluster multipole theory for anomalous Hall effect in antiferromagnets

abstract:
  We introduce a cluster extension of multipole moments to discuss the
anomalous Hall effect (AHE) in both ferromagnetic (FM) and antiferromagnetic
(AFM) states in a unified framework. We first derive general symmetry
requirements for the AHE in the presence or absence of the spin-orbit coupling,
by considering the symmetry of the Berry curvature in k space. The cluster
multipole (CMP) moments are then defined to quantify the macroscopic
magnetization in non-collinear AFM states, as a natural generalization of the
magnetization in FM states. We identify the macroscopic CMP order which induces
the AHE. The theoretical framework is applied to the non-collinear AFM states
of Mn3Ir, for which an AHE was predicted in a first-principles calculation, and
Mn3Z (Z=Sn, Ge), for which a large AHE was recently discovered experimentally.
We further compare the AHE in Mn3Z and bcc Fe in terms of the CMP. We show that
the AHE in Mn3Z is characterized with the magnetization of a cluster octupole
moment in the same manner as that in bcc Fe characterized with the
magnetization of the dipole moment.


title:
Scalar wave scattering from Schwarzschild black holes in modified
  gravity

abstract:
  We consider the scattering of gravitational waves off a Schwarzschild black
hole in $f(R)$ gravity. We show that the reflection and transmission
coefficients for tensor waves are the same as in General Relativity. While the
scalar waves, which are not present in General Relativity, demonstrate
interesting features. The equation that governs these scalar waves can be
reduced to a Volterra integral equation. Analysis of this equation shows that a
larger fraction of these waves are reflected compared to what one obtains for
tensors. This may provide a novel observational signature for fourth order
gravity.