title: Stochastic Contextual Bandits with Known Reward Functions

abstract:
  Many sequential decision-making problems in communication networks can be
modeled as contextual bandit problems, which are natural extensions of the
well-known multi-armed bandit problem. In contextual bandit problems, at each
time, an agent observes some side information or context, pulls one arm and
receives the reward for that arm. We consider a stochastic formulation where
the context-reward tuples are independently drawn from an unknown distribution
in each trial. Motivated by networking applications, we analyze a setting where
the reward is a known non-linear function of the context and the chosen arm's
current state. We first consider the case of discrete and finite context-spaces
and propose DCB($\epsilon$), an algorithm that we prove, through a careful
analysis, yields regret (cumulative reward gap compared to a distribution-aware
genie) scaling logarithmically in time and linearly in the number of arms that
are not optimal for any context, improving over existing algorithms where the
regret scales linearly in the total number of arms. We then study continuous
context-spaces with Lipschitz reward functions and propose CCB($\epsilon,
\delta$), an algorithm that uses DCB($\epsilon$) as a subroutine.
CCB($\epsilon, \delta$) reveals a novel regret-storage trade-off that is
parametrized by $\delta$. Tuning $\delta$ to the time horizon allows us to
obtain sub-linear regret bounds, while requiring sub-linear storage. By
exploiting joint learning for all contexts we get regret bounds for
CCB($\epsilon, \delta$) that are unachievable by any existing contextual bandit
algorithm for continuous context-spaces. We also show similar performance
bounds for the unknown horizon case.


title: Solving the missing GRB neutrino and GRB-SN puzzles

abstract:
  Every GRB model where the progenitor is assumed to be a highly relativistic
hadronic jet whose pions, muons and electron pair secondaries are feeding the
gamma jets engine, necessarily (except for very fine-tuned cases) leads to a
high average neutrino over photon radiant exposure (radiance), a ratio well
above unity, though the present observed average IceCube neutrino radiance is
at most comparable to the gamma in the GRB one. Therefore no hadronic GRB,
fireball or hadronic thin precessing jet, escaping exploding star in tunneled
or penetrarting beam, can fit the actual observations. A new model is shown
here, based on a purely electronic progenitor jet, fed by neutrons (and relics)
stripped from a neutron star (NS) by tidal forces of a black hole or NS
companion, showering into a gamma jet. Such thin precessing spinning jets
explain unsolved puzzles such as the existence of the X-ray precursor in many
GRBs. The present pure electron jet model, disentangling gamma and (absent)
neutrinos, explains naturally why there is no gamma GRB correlates with any
simultaneous TeV IceCube astrophysical neutrinos. Rare unstable NS companion
stages while feeding the jet may lead to an explosion simulating a SN event.
Recent IceCube-160731A highest energy muon neutrino event with absent X-gamma
traces confirms the present model expectations.


title: An attempted replication of Hackl, Koster-Hale, Varvoutis (2012)

abstract:
  Hackl, Koster-Hale & Varvoutis (2012; Journal of Semantics, 29, 145-206; HKV)
provide data that suggested that in a null context,
antecedent-contained-deletion (ACD) relative clause structures modifying a
quantified object noun phrase are easier to process than those modifying a
definite object NP. HKV argue that this pattern of results supports a
quantifier-raising (QR) analysis of both ACD structures and quantified NPs in
object position: under the account that they advocate, both ACD resolution and
quantified NPs in object position require movement of the object NP to a higher
syntactic position. The processing advantage for quantified object NPs in ACD
is hypothesized to derive from the fact that - at the point where ACD
resolution must take place - the quantified NP has already undergone QR whereas
this is not the case for definite NPs. Here, we report attempted replications
of their self-paced reading Experiments 1 and 2. We do not replicate the
critical interactions in any of the words immediately following the
disambiguating verb in either experiment. Putting these observations together
with the observation that it was only post-hoc analysis decisions that were
responsible for HKV's observed effects in the first place (Gibson et al.,
submitted), we conclude that the experiments reported by HKV should not be
viewed as providing evidence for the ACD quantifier raising processing effect.


title:
Probing Nuclear Effects at the T2K Near Detector Using Transverse
  Kinematic Imbalance

abstract:
  In this work we utilise variables characterising kinematic imbalance in the
plane transverse to an incoming neutrino, which have recently been shown to act
as a direct probe of nuclear effects (such as final state interactions, Fermi
motion and multi-nucleon processes) in $\mathcal{O}$(GeV) neutrino scattering.
We present a methodology to measure the charged current differential
cross-section with no final state pions and at least one final state proton
($CC0\pi+Np, N \geq 1$) in these variables at the near detector of the T2K
experiment (ND280), using the upstream Fine Grained Detector (FGD1) as a
hydrocarbon target. Overall these measurements will allow us to better
understand the impact of nuclear effects on the observables in neutrino
scattering, providing valuable constraints on the systematic uncertainties
associated with neutrino oscillation and scattering measurements for both T2K
and other experiments with similar energy neutrino beams.


title: Counting the number of isosceles triangles in rectangular regular grids

abstract:
  In general graph theory, the only relationship between vertices are expressed
via the edges. When the vertices are embedded in an Euclidean space, the
geometric relationships between vertices and edges can be interesting objects
of study. We look at the number of isosceles triangles where the vertices are
points on a regular grid and show that they satisfy a recurrence relation when
the grid is large enough. We also derive recurrence relations for the number of
acute, obtuse and right isosceles triangles.


title:
Kinetics and Intermediate Phases in Epitaxial Growth of Fe3O4 Films from
  Deposition and Thermal Reduction

abstract:
  We have studied the growth of Fe3O4 (111) epitaxial films on Al2O3 (001)
substrates using a pulsed laser deposition / thermal reduction cycle using an
{\alpha}-Fe2O3 target. While direct deposition onto the Al2O3 (001) substrates
results in an {\alpha}-Fe2O3 epilayer, deposition on the Fe3O4 (111) surface
results in a {\gamma}-Fe2O3 epilayer. The kinetics of the transitions between
Fe2O3 and Fe3O4 were studied by measuring the time constants of the
transitions. The transition from {\alpha}-Fe2O3 to Fe3O4 via thermal reduction
turns out to be very slow, due to the high activation energy. Despite the
significant grain boundaries due to the mismatch between the unit cells of the
film and the substrate, the Fe3O4 (111) films grown from deposition/thermal
reduction show high crystallinity.


title: Non-Perturbative Quantum Geometry III

abstract:
  The Nekrasov-Shatashvili limit of the refined topological string on toric
Calabi-Yau manifolds and the resulting quantum geometry is studied from a
non-perturbative perspective. The quantum differential and thus the quantum
periods exhibit Stokes phenomena over the combined string coupling and
quantized Kaehler moduli space. We outline that the underlying formalism of
exact quantization is generally applicable to points in moduli space featuring
massless hypermultiplets, leading to non-perturbative band splitting. Our prime
example is local P1xP1 near a conifold point in moduli space. In particular, we
will present numerical evidence that in a Stokes chamber of interest the string
based quantum geometry reproduces the non-perturbative corrections for the
Nekrasov-Shatashvili limit of 4d supersymmetric SU(2) gauge theory at strong
coupling found in the previous part of this series. A preliminary discussion of
local P2 near the conifold point in moduli space is also provided.


title:
On the Membrane Paradigm and Spontaneous Breaking of Horizon BMS
  Symmetries

abstract:
  We consider a BMS-type symmetry action on isolated horizons in asymptotically
flat spacetimes. From the viewpoint of the non-relativistic field theory on a
horizon membrane, supertranslations shift the field theory spatial momentum.
The latter is related by a Ward identity to the particle number symmetry
current and is spontaneously broken. The corresponding Goldstone boson shifts
the horizon angular momentum and can be detected quantum mechanically.
Similarly, area preserving superrotations are spontaneously broken on the
horizon membrane and we identify the corresponding gapless modes. In
asymptotically AdS spacetimes we study the BMS-type symmetry action on the
horizon in a holographic superfluid dual. We identify the horizon
supertranslation Goldstone boson as the holographic superfluid Goldstone mode.


title:
A Supervised Learning Algorithm for Binary Domain Classification of Web
  Queries using SERPs

abstract:
  General purpose Search Engines (SEs) crawl all domains (e.g., Sports, News,
Entertainment) of the Web, but sometimes the informational need of a query is
restricted to a particular domain (e.g., Medical). We leverage the work of SEs
as part of our effort to route domain specific queries to local Digital
Libraries (DLs). SEs are often used even if they are not the "best" source for
certain types of queries. Rather than tell users to "use this DL for this kind
of query", we intend to automatically detect when a query could be better
served by a local DL (such as a private, access-controlled DL that is not
crawlable via SEs). This is not an easy task because Web queries are short,
ambiguous, and there is lack of quality labeled training data (or it is
expensive to create). To detect queries that should be routed to local,
specialized DLs, we first send the queries to Google and then examine the
features in the resulting Search Engine Result Pages (SERPs), and then classify
the query as belonging to either the scholar or non-scholar domain. Using
400,000 AOL queries for the non-scholar domain and 400,000 queries from the
NASA Technical Report Server (NTRS) for the scholar domain, our classifier
achieved a precision of 0.809 and F-measure of 0.805.


title:
Constrained Nonlinear and Mixed Effects Differential Equation Models for
  Dynamic Cell Polarity Signaling

abstract:
  The key of tip growth in eukaryotes is the polarized distribution on plasma
membrane of a particle named ROP1. This distribution is the result of a
positive feedback loop, whose mechanism can be described by a Differential
Equation parametrized by two meaningful parameters kpf and knf . We introduce a
mechanistic Integro-Differential Equation (IDE) derived from a spatiotemporal
model of cell polarity and we show how this model can be fitted to real data,
i.e., ROP1 intensities measured on pollen tubes. At first, we provide an
existence and uniqueness result for the solution of our IDE model under certain
conditions. Interestingly, this analysis gives a tractable expression for the
likelihood, and our approach can be seen as the estimation of a constrained
nonlinear model. Moreover, we introduce a population variability by a
constrained nonlinear mixed model. We then propose a constrained Least Squares
method to fit the model for the single pollen tube case, and two methods,
constrained Methods of Moments and constrained Restricted Maximum Likelihood
(REML) to fit the model for the multiple pollen tubes case. The performances of
all three methods are studied through simulations and are used on an in-house
multiple pollen tubes dataset generated at UC Riverside.


title: Linear Distances between Markov Chains

abstract:
  We introduce a general class of distances (metrics) between Markov chains,
which are based on linear behaviour. This class encompasses distances given
topologically (such as the total variation distance or trace distance) as well
as by temporal logics or automata. We investigate which of the distances can be
approximated by observing the systems, i.e. by black-box testing or simulation,
and we provide both negative and positive results.


title: On distance sets, box-counting and Ahlfors-regular sets

abstract:
  We obtain box-counting estimates for the pinned distance sets of (dense
subsets of) planar discrete Ahlfors-regular sets of exponent $s>1$. As a
corollary, we improve upon a recent result of Orponen, by showing that if $A$
is Ahlfors-regular of dimension $s>1$, then almost all pinned distance sets of
$A$ have lower box-counting dimension $1$. We also show that if
$A,B\subset\mathbb{R}^2$ have Hausdorff dimension $>1$ and $A$ is
Ahlfors-regular, then the set of distances between $A$ and $B$ has modified
lower box-counting dimension $1$, which taking $B=A$ improves Orponen's result
in a different direction, by lowering packing dimension to modified lower
box-counting dimension. The proofs involve ergodic-theoretic ideas, relying on
the theory of CP-processes and projections.


title:
Jet quenching parameter of quark-gluon plasma in strong magnetic field:
  Perturbative QCD and AdS/CFT correspondence

abstract:
  We compute the jet quenching parameter $\hat q$ of QCD plasma in the presence
of strong magnetic field in both weakly and strongly coupled regimes. In weakly
coupled regime, we compute $\hat q$ in perturbative QCD at complete leading
order (that is, leading log as well as the constant under the log) in QCD
coupling constant $\alpha_s$, assuming the hierarchy of scales $\alpha_s eB\ll
T^2\ll eB$. We consider two cases of jet orientations with respect to the
magnetic field: 1) the case of jet moving parallel to the magnetic field, 2)
the case jet moving perpendicular to the magnetic field. In the former case, we
find $\hat q\sim \alpha_s^2 (eB)T\log(1/\alpha_s)$, while in the latter we have
$\hat q\sim \alpha_s^2 (eB)T\log(T^2/\alpha_seB)$. In both cases, this leading
order result arises from the scatterings with thermally populated lowest Landau
level quarks. In strongly coupled regime described by AdS/CFT correspondence,
we find $\hat q\sim \sqrt{\lambda}(eB)T$ or $\hat
q\sim\sqrt{\lambda}\sqrt{eB}T^2$ in the same hierarchy of $T^2\ll eB$ depending
on whether the jet is moving parallel or perpendicular to the magnetic field,
respectively, which indicates a universal dependence of $\hat q$ on $(eB)T$ in
both regimes for the parallel case, the origin of which should be the
transverse density of lowest Landau level states proportional to $eB$. Finally,
the asymmetric transverse momentum diffusion in the case of jet moving
perpendicular to the magnetic field may give an interesting azimuthal asymmetry
of the gluon Bremsstrahlung spectrum in the BDMPS-Z formalism.


title: The Shapes of Things to Come: Probability Density Quantiles

abstract:
  For every discrete or continuous location-scale family having a
square-integrable density, there is a unique continuous probability
distribution on the unit interval that is determined by the density-quantile
composition introduced by Parzen in 1979. These probability density quantiles
(pdQs) only differ in shape, and can be usefully compared with the Hellinger
distance or Kullback-Leibler divergences. Convergent empirical estimates of
these pdQs are provided, which leads to a robust global fitting procedure of
shape families to data. Asymmetry can be measured in terms of distance or
divergence of pdQs from the symmetric class. Further, a precise classification
of shapes by tail behavior can be defined simply in terms of pdQ boundary
derivatives.


title: Pixel matrices: An elementary technique for solving nonlinear systems

abstract:
  A new technique for approximating the entire solution set for a nonlinear
system of relations (nonlinear equations, inequalities, etc. involving
algebraic, smooth, or even continuous functions) is presented. The technique is
to first plot each function as a pixel matrix, and to then perform a sequence
of basic matrix operations, as dictated by how variables are shared by the
relations in the system. The result is a pixel matrix graphing the approximated
simultaneous solution set for the system.


title: On uplimit of accurate measurement of tau mass

abstract:
  Tau lepton as one of three elementary leptons in nature, the measurement of
its mass has ever been performed since its discovery. The present relative
accuracy is already at the level of better than 10 to minus 4 and more effects
are still made in order to increase the accuracy further. However, the analysis
of available techniques for and expectable luminosity from e+e- collider
indicates that the precision uplimit of tau mass is almost reached, which means
that brand new approaches should be looked for if the great improvement is
yearned for.


title: $\tau$-Functions, Birkhoff Factorizations and Difference Equations

abstract:
  $Q$-systems and $T$-systems are systems of integrable difference equations
that have recently attracted much attention, and have wide applications in
representation theory and statistical mechanics. We show that certain
$\tau$-functions, given as matrix elements of the action of the loop group of
${\rm GL}_{2}$ on two-component fermionic Fock space, give solutions of a
$Q$-system. An obvious generalization using the loop group of ${\rm GL}_3$
acting on three-component fermionic Fock space leads to a new system of 4
difference equations.


title: On the number of cyclic subgroup in finite groups

abstract:
  We study the number of cylic subgroups in finite groups and get that $G$ has
$|G|-3$ cyclic subgroups if and only if $G \cong D_{10}$ or $Q_8$.


title: Distributed Detection Fusion via Monte Carlo Importance Sampling

abstract:
  Distributed detection fusion with high-dimension conditionally dependent
observations is known to be a challenging problem. When a fusion rule is fixed,
this paper attempts to make progress on this problem for the large sensor
networks by proposing a new Monte Carlo framework. Through the Monte Carlo
importance sampling, we derive a necessary condition for optimal sensor
decision rules in the sense of minimizing the approximated Bayesian cost
function. Then, a Gauss-Seidel/person-by-person optimization algorithm can be
obtained to search the optimal sensor decision rules. It is proved that the
discretized algorithm is finitely convergent. The complexity of the new
algorithm is $O(LN)$ compared with $O(LN^L)$ of the previous algorithm where
$L$ is the number of sensors and $N$ is a constant. Thus, the proposed methods
allows us to design the large sensor networks with general high-dimension
dependent observations. Furthermore, an interesting result is that, for the
fixed AND or OR fusion rules, we can analytically derive the optimal solution
in the sense of minimizing the approximated Bayesian cost function. In general,
the solution of the Gauss-Seidel algorithm is only local optimal. However, in
the new framework, we can prove that the solution of Gauss-Seidel algorithm is
same as the analytically optimal solution in the case of the AND or OR fusion
rule. The typical examples with dependent observations and large number of
sensors are examined under this new framework. The results of numerical
examples demonstrate the effectiveness of the new algorithm.


title:
Spectroscopic Diagnostics of Solar Magnetic Flux Ropes Using Iron
  Forbidden Line

abstract:
  In this Letter, we present Interface Region Imaging Spectrograph Fe XXI
1354.08 A forbidden line emission of two magnetic flux ropes (MFRs) that caused
two fast coronal mass ejections with velocities of $\ge$1000 km s$^{-1}$ and
strong flares (X1.6 and M6.5) on 2014 September 10 and 2015 June 22,
respectively. The EUV images at the 131 A and 94 A passbands provided by the
Atmospheric Imaging Assembly on board Solar Dynamics Observatory reveal that
both MFRs initially appear as suspended hot channel-like structures.
Interestingly, part of the MFRs is also visible in the Fe XXI 1354.08 forbidden
line, even prior to the eruption, e.g., for the SOL2014-09-10 event. However,
the line emission is very weak and that only appears at a few locations but not
the whole structure of the MFRs. This implies that the MFRs could be comprised
of different threads with different temperatures and densities, based on the
fact that the formation of the Fe XXI forbidden line requires a critical
temperature ($\sim$11.5 MK) and density. Moreover, the line shows a non-thermal
broadening and a blueshift in the early phase. It suggests that magnetic
reconnection at that time has initiated; it not only heats the MFR and, at the
same time, produces a non-thermal broadening of the Fe XXI line but also
produces the poloidal flux, leading to the ascending of the MFRs.


title:
Embedded Eigenvalues and Neumann-Wigner Potentials for Relativistic
  Schrodinger Operators

abstract:
  The existence of potentials for relativistic Schrodinger operators allowing
eigenvalues embedded in the essential spectrum is a long-standing open problem.
We construct Neumann-Wigner type potentials for the massive relativistic
Schrodinger operator in one and three dimensions for which an embedded
eigenvalue exists. We show that in the non-relativistic limit these potentials
converge to the classical Neumann-Wigner and Moses-Tuan potentials,
respectively. For the massless operator in one dimension we construct two
families of potentials, different by the parities of the (generalized)
eigenfunctions, for which an eigenvalue equal to zero or a zero-resonance
exists, dependent on the rate of decay of the corresponding eigenfunctions. We
obtain explicit formulae and observe unusual decay behaviours due to the
non-locality of the operator.


title:
Software for cut-generating functions in the Gomory--Johnson model and
  beyond

abstract:
  We present software for investigations with cut generating functions in the
Gomory-Johnson model and extensions, implemented in the computer algebra system
SageMath.


title: Delocalized Epidemics on Graphs: A Maximum Entropy Approach

abstract:
  The susceptible--infected--susceptible (SIS) epidemic process on complex
networks can show metastability, resembling an endemic equilibrium. In a
general setting, the metastable state may involve a large portion of the
network, or it can be localized on small subgraphs of the contact network.
Localized infections are not interesting because a true outbreak concerns
network--wide invasion of the contact graph rather than localized infection of
certain sites within the contact network. Existing approaches to localization
phenomenon suffer from a major drawback: they fully rely on the steady--state
solution of mean--field approximate models in the neighborhood of their phase
transition point, where their approximation accuracy is worst; as statistical
physics tells us. We propose a dispersion entropy measure that quantifies the
localization of infections in a generic contact graph. Formulating a maximum
entropy problem, we find an upper bound for the dispersion entropy of the
possible metastable state in the exact SIS process. As a result, we find
sufficient conditions such that any initial infection over the network either
dies out or reaches a localized metastable state. Unlike existing studies
relying on the solution of mean--field approximate models, our investigation of
epidemic localization is based on characteristics of exact SIS equations. Our
proposed method offers a new paradigm in studying spreading processes over
complex networks.


title:
Approaching quantum-limited amplification with large gain catalyzed by
  hybrid nonlinear media in cavity optomechanics

abstract:
  Amplifier is at the heart of almost all experiment carrying out the precise
measurement of a weak signal. An idea amplifier should have large gain and
minimum added noise simultaneously. Here, we consider the quantum measurement
properties of a hybrid nonlinear cavity with the Kerr and OPA nonlinear media
to amplify an input signal. We show that our hybrid-nonlinear-cavity amplifier
has large gain in the single-value stable regime and achieves quantum limit
unconditionally.


title:
Slow Auger Recombination of Charged Excitons in Nonblinking Perovskite
  Nanocrystals without Spectral Diffusion

abstract:
  Over the last two decades, intensive research efforts have been devoted to
the suppressions of photoluminescence (PL) blinking and Auger recombination in
metal-chalcogenide nanocrystals (NCs), with significant progresses being made
only very recently in several specific heterostructures. Here we show that
nonblinking PL is readily available in the newly-synthesized perovskite CsPbI3
(cesium lead iodide) NCs, and their Auger recombination of charged excitons is
greatly slowed down, as signified by a PL lifetime about twice shorter than
that of neutral excitons. Moreover, spectral diffusion is completely absent in
single CsPbI3 NCs at the cryogenic temperature, leading to a resolution-limited
PL linewidth of ~200 {\mu}eV.


title:
Further properties of the forward-backward envelope with applications to
  difference-of-convex programming

abstract:
  In this paper, we further study the forward-backward envelope first
introduced in [28] and [30] for problems whose objective is the sum of a proper
closed convex function and a twice continuously differentiable possibly
nonconvex function with Lipschitz continuous gradient. We derive sufficient
conditions on the original problem for the corresponding forward-backward
envelope to be a level-bounded and Kurdyka-{\L}ojasiewicz function with an
exponent of $\frac12$; these results are important for the efficient
minimization of the forward-backward envelope by classical optimization
algorithms. In addition, we demonstrate how to minimize some
difference-of-convex regularized least squares problems by minimizing a
suitably constructed forward-backward envelope. Our preliminary numerical
results on randomly generated instances of large-scale $\ell_{1-2}$ regularized
least squares problems [37] illustrate that an implementation of this approach
with a limited-memory BFGS scheme usually outperforms standard first-order
methods such as the nonmonotone proximal gradient method in [35].


title:
Precise determination of the low-energy hadronic contribution to the
  muon $g-2$ from analyticity and unitarity: An improved analysis

abstract:
  The two-pion low-energy contribution to the anomalous magnetic moment of the
muon, $a_\mu\equiv(g-2)_\mu/2$, expres sed as an integral over the modulus
squared of the pion electromagnetic form fac tor, brings a relatively large
contribution to the theoretical error, since the low accuracy of experimental
measurements in this region is amplified by the drastic increase of the
integration kernel. We derive stringent constraints on the two-pion
contribution by exploiting analyticity and unitarity of the pion
electromagnetic form factor. To avoid the poor knowledge of the modulus of this
function, we use instead its phase, known with high precision in the elastic
region from Roy equations for pion-pion scattering via the Fermi-Watson
theorem. Above the inelastic threshold we adopt a conservative integral
condition on the modulus, determined from data and perturbative QCD. Additional
high precision data on the modulus in the range $0.65-0.71$ GeV, obtained from
$e^+e^-$ annihilation and $\tau$-decay experiments, are used to improve the
predictions on the modulus at lower energies by means of a parametrization-free
analytic extrapolation. The results are optimal for a given input and do not
depend on the unknown phase of the form factor above the inelastic threshold.
The present work improves a previous analysis based on the same technique,
including more experimental data and employing better statistical tools for
their treatment. We obtain for the contribution to $a_\mu$ from below 0.63 GeV
the value $(133.258 \pm 0.723)\times 10^{-10}$, which amounts to a reduction of
the theoretical error by about $6 \times 10^{-11}$.


title:
Fundamental Tradeoff between Storage and Latency in Cache-Aided Wireless
  Interference Networks

abstract:
  This paper studies the fundamental tradeoff between storage and latency in a
general wireless interference network with caches equipped at all transmitters
and receivers. The tradeoff is characterized by an information-theoretic
metric, \emph{normalized delivery time} (NDT), which is the worst-case delivery
time of the actual traffic load at a transmission rate specified by degrees of
freedom (DoF) of a given channel. We obtain both an achievable upper bound and
a theoretical lower bound of the minimum NDT for any number of transmitters,
any number of receivers, and any feasible cache size tuple. We show that the
achievable NDT is exactly optimal in certain cache size regions, and is within
a bounded multiplicative gap to the theoretical lower bound in other regions.
In the achievability analysis, we first propose a novel cooperative
transmitter/receiver coded caching strategy. It offers the freedom to adjust
file splitting ratios for NDT minimization. We then propose a delivery strategy
which transforms the considered interference network into a new class of
cooperative X-multicast channels. It leverages local caching gain, coded
multicasting gain, and transmitter cooperation gain (via interference alignment
and interference neutralization) opportunistically. Finally, the achievable NDT
is obtained by solving a linear programming problem. This study reveals that
with caching at both transmitter and receiver sides, the network can benefit
simultaneously from traffic load reduction and transmission rate enhancement,
thereby effectively reducing the content delivery latency.


title:
Energy-Distortion Tradeoff for the Gaussian Broadcast Channel with
  Feedback

abstract:
  This work focuses on the minimum transmission energy required for
communicating a pair of correlated Gaussian sources over a two-user Gaussian
broadcast channel with noiseless and causal channel output feedback (GBCF). We
study the fundamental limit on the required transmission energy for
broadcasting a pair of source samples, such that each source can be
reconstructed at its respective receiver to within a target distortion, when
the source-channel bandwidth ratio is not restricted. We derive a lower bound
and three distinct upper bounds on the minimum required energy. For the upper
bounds we analyze three transmission schemes: Two schemes are based on separate
source-channel coding, and apply coding over multiple samples of source pairs.
The third scheme is based on joint source-channel coding obtained by extending
the Ozarow-Leung (OL) transmission scheme, which applies uncoded linear
transmission. Numerical simulations show that despite its simplicity, the
energy-distortion tradeoff of the OL-based scheme is close to that of the
better separation-based scheme, which indicates that the OL scheme is
attractive for energy-efficient source transmission over GBCFs.


title:
Gains of Restricted Secondary Licensing in Millimeter Wave Cellular
  Systems

abstract:
  Sharing the spectrum among multiple operators seems promising in millimeter
wave (mmWave) systems. One explanation is the highly directional transmission
in mmWave, which reduces the interference caused by one network on the other
networks sharing the same resources. In this paper, we model a mmWave cellular
system where an operator that primarily owns an exclusive-use license of a
certain band can sell a restricted secondary license of the same band to
another operator. This secondary network has a restriction on the maximum
interference it can cause to the original network. Using stochastic geometry,
we derive expressions for the coverage and rate of both networks, and establish
the feasibility of secondary licensing in licensed mmWave bands. To explain
economic trade-offs, we consider a revenue-pricing model for both operators in
the presence of a central licensing authority. Our results show that the
original operator and central network authority can benefit from secondary
licensing when the maximum interference threshold is properly adjusted. This
means that the original operator and central licensing authority have an
incentive to permit a secondary network to restrictively share the spectrum.
Our results also illustrate that the spectrum sharing gains increase with
narrow beams and when the network densifies.


title: 750 GeV diphoton resonance and electric dipole moments

abstract:
  We examine the implication of the recently observed 750 GeV diphoton excess
for the electric dipole moments of the neutron and electron. If the excess is
due to a spin zero resonance which couples to photons and gluons through the
loops of massive vector-like fermions, the resulting neutron electric dipole
moment can be comparable to the present experimental bound if the CP-violating
angle {\alpha} in the underlying new physics is of O(10^{-1}). An electron EDM
comparable to the present bound can be achieved through a mixing between the
750 GeV resonance and the Standard Model Higgs boson, if the mixing angle
itself for an approximately pseudoscalar resonance, or the mixing angle times
the CP-violating angle {\alpha} for an approximately scalar resonance, is of
O(10^{-3}). For the case that the 750 GeV resonance corresponds to a composite
pseudo-Nambu-Goldstone boson formed by a QCD-like hypercolor dynamics confining
at \Lambda_HC, the resulting neutron EDM can be estimated with \alpha ~ (750
GeV / \Lambda_HC)^2\theta_HC, where \theta_HC is the hypercolor vacuum angle.


title:
X-ray spectral properties of the AGN sample in the northern XMM-XXL
  field

abstract:
  In this paper we describe and publicly release a catalogue consisting of 8445
point-like X-ray sources detected in the XMM-XXL north survey. For the 2512 AGN
which have reliable spectroscopy, we present the X-ray spectral fitting which
has been computed with a Bayesian approach. We have also applied an X-ray
spectral stacking method to different sub-samples. We confirm the well-known
Iwasawa-Taniguchi effect in our luminosity-redshift sub-samples, and argue that
such an effect is due to a decrease in the covering factor of a distant
obscuring torus with increasing X-ray luminosity. By comparing the distribution
of the reflection fraction, the ratio of the normalization of the reflected
component to the direct radiation, we find that the low-luminosity,
low-redshift sub-sample had systematically higher reflection fraction values
than the high-redshift, high-luminosity one. On the other hand, no significant
difference is found between samples having similar luminosity but different
redshift, suggesting that the structure of the torus does not evolve strongly
with redshift. Contrary to previous works, we do not find evidence for an
increasing photon index at high Eddington ratio. This may be an indication that
the structure of the accretion disc changes as the Eddington ratio approaches
unity. Comparing our X-ray spectral analysis results with the optical spectral
classification, we find that $\sim20$ per cent of optical type-1 AGN show an
X-ray absorbing column density higher than $10^{21.5}\,\rm{cm^{-2}}$, and about
50 per cent of type-2 AGN have an X-ray absorbing column density less than
$10^{21.5}\,\rm{cm^{-2}}$. We suggest that the excess X-ray absorption shown in
the high-luminosity optical type-1 AGN can be due to small-scale dust-free gas
within (or close to) the broad line region, while in the low-luminosity ones it
can be due to a clumpy torus with a large covering factor.


title:
Measurement of the absolute branching fraction of $D^{+}\rightarrow\bar
  K^0 e^{+}\nu_{e}$ via $\bar K^0\to\pi^0\pi^0$

abstract:
  By analyzing 2.93 fb$^{-1}$ data collected at the center-of-mass energy
$\sqrt s=3.773$ GeV with the BESIII detector, we measure the absolute branching
fraction of the semileptonic decay $D^+\rightarrow\bar K^0 e^{+}\nu_{e}$ to be
${\mathcal B}(D^{+}\rightarrow\bar K^0 e^{+}\nu_{e})=(8.59 \pm 0.14 \pm
0.21)\%$ using $\bar K^0\to K^0_S\to \pi^0\pi^0$, where the first uncertainty
is statistical and the second systematic. Our result is consistent with
previous measurements within uncertainties.


title: Running the running

abstract:
  We use the recent observations of Cosmic Microwave Background temperature and
polarization anisotropies provided by the Planck satellite experiment to place
constraints on the running $\alpha_\mathrm{s} = \mathrm{d}n_{\mathrm{s}} /
\mathrm{d}\log k$ and the running of the running $\beta_{\mathrm{s}} =
\mathrm{d}\alpha_{\mathrm{s}} / \mathrm{d}\log k$ of the spectral index
$n_{\mathrm{s}}$ of primordial scalar fluctuations. We find
$\alpha_\mathrm{s}=0.011\pm0.010$ and $\beta_\mathrm{s}=0.027\pm0.013$ at
$68\%\,\mathrm{CL}$, suggesting the presence of a running of the running at the
level of two standard deviations. We find no significant correlation between
$\beta_{\mathrm{s}}$ and foregrounds parameters, with the exception of the
point sources amplitude at $143\,\mathrm{GHz}$, $A^{PS}_{143}$, which shifts by
half sigma when the running of the running is considered. We further study the
cosmological implications of such preference for
$\alpha_\mathrm{s},\beta_\mathrm{s}\sim0.01$ by including in the analysis the
lensing amplitude $A_L$, the curvature parameter $\Omega_k$, and the sum of
neutrino masses $\sum m_{\nu}$. We find that when the running of the running is
considered, Planck data are more compatible with the standard expectations of
$A_L = 1$ and $\Omega_k = 0$ but still hint at possible deviations. The
indication for $\beta_\mathrm{s} > 0$ survives at two standard deviations when
external datasets such as BAO and CFHTLenS are included in the analysis, and
persists at $\sim 1.7$ standard deviations when CMB lensing is considered. We
discuss the possibility of constraining $\beta_\mathrm{s}$ with current and
future measurements of CMB spectral distortions, showing that an experiment
like PIXIE could provide strong constraints on $\alpha_\mathrm{s}$ and
$\beta_\mathrm{s}$.


title:
First clear evidence of quantum chaos in the bound states of an atomic
  nucleus

abstract:
  We study the spectral fluctuations of the $^{208}$Pb nucleus using the
complete experimental spectrum of 151 states up to excitation energies of
$6.20$ MeV recently identified at the Maier-Leibnitz-Laboratorium at Garching,
Germany. For natural parity states the results are very close to the
predictions of Random Matrix Theory (RMT) for the nearest-neighbor spacing
distribution. A quantitative estimate of the agreement is given by the Brody
parameter $\omega$, which takes the value $\omega=0$ for regular systems and
$\omega \simeq 1$ for chaotic systems. We obtain $\omega=0.85 \pm 0.02$ which
is, to our knowledge, the closest value to chaos ever observed in experimental
bound states of nuclei. By contrast, the results for unnatural parity states
are far from RMT behavior. We interpret these results as a consequence of the
strength of the residual interaction in $^{208}$Pb, which, according to
experimental data, is much stronger for natural than for unnatural parity
states. In addition our results show that chaotic and non-chaotic nuclear
states coexist in the same energy region of the spectrum.


title:
On Optimal Offline Time Sharing Policy for Energy Harvesting Underlay
  Cognitive Radio

abstract:
  RF energy harvesting can be used to power communication devices so that
perpetual operation of such devices can be ensured. We consider a RF energy
harvesting underlay cognitive radio system operating in slotted fashion. The
primary user (PU) is equipped with a reliable power source and transmits with a
constant power in all the slots. However, the secondary user (SU) harvests
energy from primary's transmission and simultaneously transmits it's own data
such that interference at the primary receiver (PR) remains below an acceptable
threshold. At the secondary transmitter (ST), each time slot is divided into
two phases: energy harvesting (EH) phase and information transfer (IT) phase.
We formulated the problem of maximizing the achievable secondary sum rate under
primary receiver's protection criteria as a convex optimization problem and
obtained the optimal time sharing between EH and IT phase, and optimal
secondary transmit power under offline setting. The optimal offline scheme is
then compared with an online myopic policy, where the optimal time sharing
between EH and IT phase, and optimal secondary transmit power are obtained
based on instantaneous channel gains only.


title:
Magnetoelectric fields for microwave chirality discrimination in
  enantiomeric liquids

abstract:
  Chirality discrimination is of a fundamental interest in biology, chemistry,
and metamaterial studies. In optics, near-field plasmon-resonance spectroscopy
with superchiral probing fields is effectively applicable for analyses of large
biomolecules with chiral properties. We show possibility for microwave
near-field chirality discrimination analysis based on magnon-resonance
spectroscopy. Newly developed capabilities in microwave sensing using
magnetoelectric (ME) probing fields originated from multiresonance
magnetic-dipolar-mode (MDM) oscillations in quasi-2D yttrium-iron-garnet (YIG)
disks, provide a potential for unprecedented measurements of chemical and
biological objects. We report on microwave near-field chirality discrimination
for aqueous D- and L-glucose solutions. The shown ME-field sensing is addressed
to microwave biomedical diagnostics and pathogen detection and to deepening our
understanding of microwave-biosystem interactions. It can be also important for
an analysis and design of microwave chiral metamaterials.


title:
Distinguish three time-dependent dark energy models using statefinder
  pairs with error bars and Bayesian evidence

abstract:
  In this work, two completely different approaches, statefinder with error
bars and Bayesian evidence, are used to distinguish and judge three
time-dependent dark energy models. The parameters constrain for the three dark
energy models are given using the current cosmic observational data sets :
$Planck$ 2015, SNIa, BAO and OHD. Using the statefinder pairs with error bars,
we find that the error region of the dark energy model, whose equation of state
parameter is given by $w(a) = w_0+w_3\frac{1-a}{a^2+(1-a)^2}$, is relativity
compact than the other two models during the all the evolving history.
Meanwhile, the Bayesian evidence also provide that this model is significantly
better than the other two models and the other two models are inconclusive.
Then, there are reasons for believing that this model is a preferential
candidate in dark energy investigation rather than the other two.


title: Information-Theoretical Analysis of Two Shannon's Ciphers

abstract:
  We describe generalized running key ciphers and apply them for analysis of
two Shannon's methods. In particular, we suggest some estimation of the cipher
equivocation and the probability of correct deciphering without key.


title:
SoLid: Search for Oscillation with a 6Li Detector at the BR2 research
  reactor

abstract:
  In the past decades, various nuclear reactor neutrino experiments have
measured a deficit in the flux of antineutrinos coming from the reactor at
short reactor-detector distances, when compared to theoretical calculations.
One of the experiments designed to investigate this reactor antineutrino
anomaly is the SoLid experiment. It uses the compact BR2 research reactor from
the SCK-CEN in Mol, Belgium, to perform reactor antineutrino flux measurements
at very short baseline. These proceedings discuss the general detection
concepts of the SoLid experiment and its novel detector technology. The
performance of the SoLid design is demonstrated with some results of the
analysis of the data gathered with the experiment's first large scale test
module, SM1.


title:
A fundamental mechanism for carbon-film lubricity identified by means of
  ab initio molecular dynamics

abstract:
  Different hypotheses have been proposed to explain the mechanism for the
extremely low friction coefficient of carbon coatings and its undesired
dependence on air humidity. A decisive atomistic insight is still lacking
because of the difficulties in monitoring what actually happens at the buried
sliding interface. Here we perform large-scale ab initio molecular dynamics
simulations of both undoped and silicon-doped carbon films sliding in the
presence of water. We observe the tribologically-induced surface hydroxylation
and subsequent formation of a thin film of water molecules bound to the
OH-terminated surface by hydrogen bonds. The comparative analysis of
silicon-incorporating and clean surfaces, suggests that this two-step process
can be the key phenomenon to provide high slipperiness to the carbon coatings.
The water layer is, in fact, expected to shelter the carbon surface from direct
solid-on-solid contact and make any counter surface slide extremely easily on
it. The present insight into the wettability of carbon-based films can be
useful for designing new coatings for biomedical and energy-saving applications
with environmental adaptability.


title: Discrete Morrey spaces and their generalizations

abstract:
  We discuss discrete Morrey spaces and their generalizations, and we prove
necessary and sufficient conditions for the inclusion property among these
spaces through an estimate for the characteristic sequences.


title: On the diamenter of Lascar strong types (after Ludomir Newelski)

abstract:
  This is an exposition a theorem of mathematical logic which only assumes the
notions of structure, elementary equivalence, and compactness (saturation).
Newelski proved that type-definable Lascar strong types have finite diameter.
Our exposition is based on a proof that appears in Pelaez' thesis - up to a
minor difference: the notion of weak c-free is replaced with the notion of
non-drifting that is introduced here.


title:
Decoherence of the quantum logic gate implemented with the
  Jaynes-Cummings model: A semiclassical approach

abstract:
  In this paper, we investigate decoherence of Knill, Laflamme, and Milburn's
nonlinear sign-shift gate that is implemented with the Jaynes-Cummings model.
Introducing a stochastic variable as an external electric field, we let it
couple with a dipole moment of a two-level atom. We examine this model using a
semiclassical theory. Results of the Monte Carlo simulations under the
semiclassical approximation correspond well with those obtained with the
quantum mechanical perturbation theory for the stochastic process. In the
results of the simulations, we observe both the $\mbox{T}_{1}$ and
$\mbox{T}_{2}$ decays. This paper is a sequel to the reference [H.~Azuma, Prog.
Theor. Phys. {\bf 126}, 369 (2011)].


title:
Angle criteria for uniform convergence of averaged projections and
  cyclic or random products of projections

abstract:
  We apply a new notion of angle between projections to deduce criteria for
uniform convergence results of the alternating projections method under several
different settings: averaged projections, cyclic products, quasi-periodic
products and random products.


title:
Signifying the nonlocality of NOON states using Einstein-Podolsky-Rosen
  steering inequalities

abstract:
  We construct Einstein-Podolsky-Rosen (EPR) steering signatures for the
nonlocality of the entangled superposition state described by
$\frac{1}{\sqrt{2}}\{|N\rangle|0\rangle+|0\rangle|N\rangle\}$, called the
two-mode NOON state. The signatures are a violation of an EPR steering
inequality based on an uncertainty relation. The violation confirms an EPR
steering between the two modes and involves certification of an inter-mode
correlation for number, as well as quadrature phase amplitude measurements. We
also explain how the signatures certify an $N$th order quantum coherence, so
the system (for larger $N$) can be signified to be in a superposition of states
distinct by a mesoscopic value of the two-mode quantum number difference.
Finally, we examine the limitations imposed for lossy scenarios, discussing how
experimental realisations may be possible for $N=2,3$.


title:
Two-particle atomic coalescences: Boundary conditions for the Fock
  coefficient components

abstract:
  The exact values of the presently determined components 26of the angular Fock
coefficients at the two-particle coalescences were obtained and systematized.
The Green Function approach was successfully applied to simplify the most
complicated calculations. The boundary conditions for the Fock coefficient
components in the hyperspherical angular coordinates, which follows from the
Kato cusp conditions for the two-electron wave function in the natural
interparticle coordinates, were derived. The validity of the obtained boundary
conditions was verified on examples of all the presently determined components.
The additional boundary conditions are not arising from the Kato cusp
conditions were obtained as well. The Wolfram Mathematica was used intensively.

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


title: Text-mining the NeuroSynth corpus using Deep Boltzmann Machines

abstract:
  Large-scale automated meta-analysis of neuroimaging data has recently
established itself as an important tool in advancing our understanding of human
brain function. This research has been pioneered by NeuroSynth, a database
collecting both brain activation coordinates and associated text across a large
cohort of neuroimaging research papers. One of the fundamental aspects of such
meta-analysis is text-mining. To date, word counts and more sophisticated
methods such as Latent Dirichlet Allocation have been proposed. In this work we
present an unsupervised study of the NeuroSynth text corpus using Deep
Boltzmann Machines (DBMs). The use of DBMs yields several advantages over the
aforementioned methods, principal among which is the fact that it yields both
word and document embeddings in a high-dimensional vector space. Such
embeddings serve to facilitate the use of traditional machine learning
techniques on the text corpus. The proposed DBM model is shown to learn
embeddings with a clear semantic structure.


title: Stimulated Raman adiabatic passage in physics, chemistry and beyond

abstract:
  The technique of stimulated Raman adiabatic passage (STIRAP), which allows
efficient and selective population transfer between quantum states without
suffering loss due to spontaneous emission, was introduced in 1990 (Gaubatz
\emph{et al.}, J. Chem. Phys. \textbf{92}, 5363, 1990). Since then STIRAP has
emerged as an enabling methodology with widespread successful applications in
many fields of physics, chemistry and beyond. This article reviews the many
applications of STIRAP emphasizing the developments since 2000, the time when
the last major review on the topic was written (Vitanov \emph{et al.}, Adv. At.
Mol. Opt. Phys. \textbf{46}, 55, 2001). A brief introduction into the theory of
STIRAP and the early applications for population transfer within three-level
systems is followed by the discussion of several extensions to multi-level
systems, including multistate chains and tripod systems. The main emphasis is
on the wide range of applications in atomic and molecular physics (including
atom optics, cavity quantum electrodynamics, formation of ultracold molecules,
precision experiments, etc.), quantum information (including single- and
two-qubit gates, entangled-state preparation, etc.), solid-state physics
(including processes in doped crystals, nitrogen-vacancy centers,
superconducting circuits, etc.), and even some applications in classical
physics (including waveguide optics, frequency conversion, polarization optics,
etc.). Promising new prospects for STIRAP are also presented (including
processes in optomechanics, detection of parity violation in molecules,
spectroscopy of core-nonpenetrating Rydberg states, and population transfer
with X-ray pulses).


title:
An improved method for estimating the neutron background in measurements
  of neutron capture reactions

abstract:
  The relation between the neutron background in neutron capture measurements
and the neutron sensitivity related to the experimental setup is examined. It
is pointed out that a proper estimate of the neutron background may only be
obtained by means of dedicated simulations taking into account the full
framework of the neutron-induced reactions and their complete temporal
evolution. No other presently available method seems to provide reliable
results, in particular under the capture resonances. An improved neutron
background estimation technique is proposed, the main improvement regarding the
treatment of the neutron sensitivity, taking into account the temporal
evolution of the neutron-induced reactions. The technique is complemented by an
advanced data analysis procedure based on relativistic kinematics of neutron
scattering. The analysis procedure allows for the calculation of the neutron
background in capture measurements, without requiring the time-consuming
simulations to be adapted to each particular sample. A suggestion is made on
how to improve the neutron background estimates if neutron background
simulations are not available.


title:
Two minimal unique ergodic diffeomorphisms on a manifolds and their
  smooth crossed product algebras

abstract:
  In this article we construct two minimal unique ergodic diffeomorphisms
$\alpha$ and $\beta$ on $S^3 \times S^{6} \times S^{8} $. We will show that
$C(S^3 \times S^{6} \times S^{8}) \rtimes_\alpha \mathbb{Z} $ and $C(S^3 \times
S^{6} \times S^{8})\rtimes_\beta \mathbb{Z} $ are equivalent to each other,
while $C^\infty (S^3 \times S^{6} \times S^{8})\rtimes_\alpha \mathbb{Z} $ and
$C^\infty(S^3 \times S^{6} \times S^{8} )\rtimes_\beta \mathbb{Z} $ are not.


title: On Fomin--Kirillov Algebras for Complex Reflection Groups

abstract:
  This note is an application of classification results for finite-dimensional
Nichols algebras over groups. We apply these results to generalizations of
Fomin--Kirillov algebras to complex reflection groups. First, we focus on the
case of cyclic groups where the corresponding Nichols algebras are only
finite-dimensional up to order four, and we include results about the existence
of Weyl groupoids and finite-dimensional Nichols subalgebras for this class.
Second, recent results by Heckenberger--Vendramin [ArXiv e-prints, 1412.0857
(December 2014)] on the classification of Nichols algebras of semisimple group
type can be used to find that these algebras are infinite-dimensional for many
non-exceptional complex reflection groups in the Shephard--Todd classification.


title: On the functor of Arakawa, Suzuki and Tsuchiya

abstract:
  Arakawa, Suzuki and Tsuchiya constructed a correspondence between certain
modules of the trigonometric Cherednik algebra $\mathfrak{C}_N$ depending on a
parameter $\kappa\in\mathbb{C}$, and certain modules of the affine Lie algebra
$\widehat{\mathfrak{sl}}_m$ of level $\kappa-m$. We give a detailed proof of
this correspondence by working with the affine Lie algebra
$\widehat{\mathfrak{gl}}_m$ alongside of $\widehat{\mathfrak{sl}}_m$. We also
relate this construction to a correspondence between certain modules of the
degenerate affine Hecke algebra $\mathfrak{H}_N$ and all modules of
$\mathfrak{sl}_m$ or $\mathfrak{gl}_m$. The latter correspondence was
constructed earlier by Cherednik.


title: Cherednik algebras and Zhelobenko operators

abstract:
  We study canonical intertwining operators between modules of the
trigonometric Cherednik algebra, induced from the standard modules of the
degenerate affine Hecke algebra. We show that these operators correspond to the
Zhelobenko operators for the affine Lie algebra $\widehat{\mathfrak{sl}}_m$. To
establish the correspondence, we use the functor of Arakawa, Suzuki and
Tsuchiya which maps certain $\widehat{\mathfrak{sl}}_m$-modules to modules of
the Cherednik algebra.


title:
Density Forecasts and the Leverage Effect: Some Evidence from
  Observation and Parameter-Driven Volatility Models

abstract:
  The leverage effect refers to the well-established relationship between
returns and volatility. When returns fall, volatility increases. We examine the
role of the leverage effect with regards to generating density forecasts of
equity returns using well-known observation and parameter-driven volatility
models. These models differ in their assumptions regarding: The parametric
specification, the evolution of the conditional volatility process and how the
leverage effect is accounted for. The ability of a model to generate accurate
density forecasts when the leverage effect is incorporated or not as well as a
comparison between different model-types is carried out using a large number of
financial time-series. We find that, models with the leverage effect generally
generate more accurate density forecasts compared to their no-leverage
counterparts. Moreover, we also find that our choice with regards to how to
model the leverage effect and the conditional log-volatility process is
important in generating accurate density forecasts


title: Conformal and projective symmetries in Newtonian cosmology

abstract:
  Definitions of non-relativistic conformal transformations are considered both
in the Newton-Cartan and in the Kaluza-Klein-type Eisenhart/Bargmann
geometrical frameworks. The symmetry groups that come into play are exemplified
by the cosmological, and also the Newton-Hooke solutions of Newton's
gravitational field equations. It is shown, in particular, that the maximal
symmetry group of the standard cosmological model is isomorphic to the
13-dimensional conformal-Newton-Cartan group whose conformal-Bargmann extension
is explicitly worked out. Attention is drawn to the appearance of independent
space and time dilations, in contrast with the Schr{\"o}dinger group or the
Conformal Galilei Algebra.


title:
A review on attractive-repulsive hydrodynamics for consensus in
  collective behavior

abstract:
  This survey summarizes and illustrates the main qualitative properties of
hydrodynamics models for collective behavior. These models include a velocity
consensus term together with attractive-repulsive potentials leading to
non-trivial flock profiles. The connection between the underlying particle
systems to the swarming hydrodynamic equations is performed through kinetic
theory modelling arguments. We focus on Lagrangian schemes for the hydrodynamic
systems showing the different qualitative behavior of the systems and its
capability of keeping properties of the original particle models. We illustrate
known results concerning large time profiles and blow-up in finite time of the
hydrodynamic systems to validate the numerical scheme. We finally explore
unknown situations making use of the numerical scheme showcasing a number of
conjectures based on the numerical results.


title: Sobolev subspaces of nowhere bounded functions

abstract:
  We prove that in any Sobolev space which is subcritical with respect to the
Sobolev Embedding Theorem there exists a closed infinite dimensional linear
subspace whose non zero elements are nowhere bounded functions. We also prove
the existence of a closed infinite dimensional linear subspace whose non zero
elements are nowhere $L^q$ functions for suitable values of $q$ larger than the
Sobolev exponent.


title:
Quantum thermodynamics in strong coupling: heat transport and
  refrigeration

abstract:
  The performance characteristics of a heat rectifier and a heat pump are
studied in a non Markovian framework. The device is constructed from a molecule
connected to a hot and cold reservoir. The heat baths are modelled using the
stochastic surrogate Hamiltonian method. The molecule is modelled by an
asymmetric double-well potential. Each well is semi-locally connected to a heat
bath composed of spins. The dynamics is driven by a combined system-bath
Hamiltonian. The temperature of the baths is regulated by a secondary spin bath
composed of identical spins in thermal equilibrium. A random swap operation
exchange spins between the primary and secondary baths. The combined system is
studied in various system-bath coupling strengths. In all cases the average
heat current always flows from the hot towards the cold bath in accordance to
the second law of thermodynamics. The asymmetry of the double well generates a
rectifying effect meaning that when the left and right baths are exchanged the
heat current follows the hot to cold direction. The heat current is larger when
the high frequency is coupled to the hot bath. Adding an external driving field
can reverse the transport direction. Such a refrigeration effect is modelled by
a periodic driving field in resonance with the frequency difference of the two
potential wells. A minimal driving amplitude is required to overcome the heat
leak effect. In the strong driving regime the cooling power is non-monotonic
with the system-bath coupling.


title:
Numerical study of the Transverse Diffusion coefficient for a one
  component model of a plasma

abstract:
  We report the results of MD numerical simulations for a one component model
of a plasma in the weakly coupled regime, at different values of temperature
$T$ and applied magnetic field $\vec B$, in which the diffusion coefficient
$D_{\perp}$ transverse to the field is estimated. We find that there exists a
threshold in temperature, at which an inversion occurs, namely, for $T$ above
the threshold the diffusion coefficient $D_{\perp}$ starts decreasing as $T$
increases. This is at variance with the behavior predicted by the Bohm law
$D_{\perp}\sim T/B$, which actually holds below the threshold. In addition we
find that, for temperatures above such a threshold, another transition occurs,
now with respect to the values of the magnetic field: for weak magnetic fields
the diffusion coefficients scales as $1/B^2$, in agreement with the predictions
of the standard kinetics theory, while it apparently saturates when the field
strength is sufficiently increased.


title:
On exceptional collections of line bundles and mirror symmetry for toric
  Del-Pezzo surfaces

abstract:
  Let $X$ be a toric Del-Pezzo surface and let $Crit(W) \subset
(\mathbb{C}^{\ast})^n$ be the solution scheme of the Landau-Ginzburg system of
equations. Denote by $X^{\circ}$ the polar variety of $X$. Our aim in this work
is to describe a map $L : Crit(W) \rightarrow Fuk_{trop}(X^{\circ})$ whose
image under homological mirror symmetry corresponds to a full strongly
exceptional collection of line bundles.


title: Stora's fine notion of divergent amplitudes

abstract:
  Stora and coworkers refined the notion of divergent quantum amplitude,
somewhat upsetting the standard power-counting recipe. This unexpectedly clears
the way to new prototypes for free and interacting field theories of bosons of
any mass and spin.


title:
Local unitary equivalence of quantum states and simultaneous orthogonal
  equivalence

abstract:
  The correspondence between local unitary equivalence of bipartite quantum
states and simultaneous orthogonal equivalence is thoroughly investigated and
strengthened. It is proved that local unitary equivalence can be studied
through simultaneous similarity under projective orthogonal transformations,
and four parametrization independent algorithms are proposed to judge when two
density matrices on $\mathbb C^{d_1}\otimes \mathbb C^{d_2}$ are locally
unitary equivalent in connection with trace identities, Weierstrass pencils,
Albert determinants and Smith normal forms.


title:
Global $U(1)_{L}$ Breaking in Neutrinophilic 2HDM: From LHC Signatures
  to X-Ray Line

abstract:
  Lepton number violation plays an essential role in many scenarios of neutrino
mass generation and also provides new clues to search new physics beyond the
standard model. We consider the neutrinophilic two-Higgs-doublet model
($\nu$-2HDM) where additional right-handed neutral fermions $N_{Ri}$ and a
complex singlet scalar $\sigma$ are also involved. In scalar sector, the global
$U(1)_{L}$ symmetry is spontaneous broken, leading to Nambu-Goldstone boson,
the Majoron $J$, accompanied by the Majorana neutrino mass generation. We find
that the massless Majoron will induce large invisible Higgs decay, and current
experiments have already set constraints on relevant parameters. For the first
time, we point out that the $\nu$-2HDM with $N_{Ri}$ can be distinguished from
other seesaw by the same sign tri-lepton signature $3\ell^\pm4j+\cancel{E}_T$.
More interesting, for $\mathcal{O}(\keV)$ scale Majoron, it is a good candidate
of decaying dark matter to interpret the $3.5\keV$ and $511\keV$ line excesses.


title: Symmetric Unique Neighbor Expanders and Good LDPC Codes

abstract:
  An infinite family of bounded-degree 'unique-neighbor' expanders was
constructed explicitly by Alon and Capalbo (2002). We present an infinite
family F of bounded-degree unique-neighbor expanders with the additional
property that every graph in the family F is a Cayley graph. This answers a
question raised by Tali Kaufman. Using the same methods, we show that the
symmetric LDPC codes constructed by Kaufman and Lubotzky (2012) are in fact
symmetric under a simply transitive group action on coordinates.


title:
Common-Description Learning: A Framework for Learning Algorithms and
  Generating Subproblems from Few Examples

abstract:
  Current learning algorithms face many difficulties in learning simple
patterns and using them to learn more complex ones. They also require more
examples than humans do to learn the same pattern, assuming no prior knowledge.
In this paper, a new learning framework is introduced that is called
common-description learning (CDL). This framework has been tested on 32 small
multi-task datasets, and the results show that it was able to learn complex
algorithms from a few number of examples. The final model is perfectly
interpretable and its depth depends on the question. What is meant by depth
here is that whenever needed, the model learns to break down the problem into
simpler subproblems and solves them using previously learned models. Finally,
we explain the capabilities of our framework in discovering complex relations
in data and how it can help in improving language understanding in machines.


title: Hall algebras and quantum groups associated to Dynkin quivers

abstract:
  For Dynkin quivers, we find the Laurent polynomials $\widetilde{X}_{a,
c}^{b}(v)$ and use $\widetilde{X}_{a, c}^{b}(v)$ to construct the Hall algebra
$\hc_v(\cc(\cp))$ over $\mz[v, v^{-1}]$, where $\widetilde{X}_{a,
c}^{b}(|\mf_q|)$'s are structure constants used by Bridgeland. The Laurent
polynomials $\widetilde{X}_{a, c}^{b}(v)$ are explicitly given in $A_1$ case.
As an application, we obtain the full quantum groups $U_t(\sg)$ associated to
the Dynkin quivers for arbitrary $t\not=0,\pm1$.


title:
Optical trapping by Laguerre-Gaussian beams: Symmetries, stability and
  equilibria

abstract:
  We use the T-matrix formalism in combination with the method of far-field
matching to evaluate the optical force exerted by Laguerre-Gaussian (LG) light
beams on a spherical (Mie) particle. For both non-vortex and optical vortex LG
beams, the theoretical results are used to analyze the optical-force-induced
dynamics of the scatterer near the trapping points represented by the
equilibrium (zero-force) positions. The regimes of linearized dynamics are
described in terms of the stiffness matrix spectrum and the damping constant of
the ambient medium. For the purely azimuthal LG beams, the dynamics is found to
be locally non-conservative and is characterized by the presence of
conditionally stable equilibria (unstable zero-force points that can be
stabilized by the ambient damping). The effects related to the Mie resonances
that under certain conditions manifest themselves as the points changing the
trapping properties of the particles are discussed.


title:
Thermally smart characteristics of nanofluids in parallel microchannel
  systems to mitigate hot spots in MEMS

abstract:
  Mitigation of hot spots in MEMS employing in situ microchannel systems
requires a comprehensive picture of the maldistribution of the working fluid
and uniformity of cooling within the same. In this article, detailed
simulations employing parallel micro channel systems with specialized
manifold-channel configurations i.e. U, I and Z have been performed. Eulerian
Lagrangian Discrete Phase Model and Effective Property Model with water and
alumina water nanofluid as working fluids have been employed. The distributions
of the dispersed particulate phase and continuous phase have been observed to
be, in general, different from the flow distribution and this has been found to
be strongly dependent on the flow configuration. Particle maldistribution has
been conclusively shown to be influenced by various migration and diffusive
phenomena like Stokesian drag, Brownian motion, thermophoretic drift, etc. To
understand the uniformity of cooling within the device, which is of importance
in real time scenario, an appropriate figure of merit has been proposed. It has
been observed that uniformity of cooling improved using nanofluid as working
fluid as well as enhanced relative cooling in hot zones, providing evidence of
the smart nature of such dispersions. To further quantify this smart effect,
real time mimicking hot-spot scenarios have been computationally probed with
nanofluid as the coolant. A silicon-based microchip emitting non-uniform heat
flux (gathered from real-time monitoring of an Intel Core i7 4770 3.40 GHz quad
core processor) under various processor load conditions has been studied and
evidence of enhanced cooling of hot spots has been obtained from DPM analysis.


title: The Bishop-Phelps-Bollob\'as point property

abstract:
  In this article, we study a version of the Bishop-Phelps-Bollob\'as property.
We investigate a pair of Banach spaces $(X, Y)$ such that every operator from
$X$ into $Y$ is approximated by operators which attains its norm at the same
point where the original operator almost attains its norm. In this case, we say
that such a pair has the Bishop-Phelps-Bollob\'as point property (BPBpp). We
characterize uniform smoothness in terms of BPBpp and we give some examples of
pairs $(X, Y)$ which have and fail this property. Some stability results are
obtained about $\ell_1$ and $\ell_\infty$ sums of Banach spaces and we also
study this property for bilinear mappings.


title: Makarov's principle for the Bloch unit ball

abstract:
  Makarov's principle relates three characteristics of Bloch functions that
resemble the variance of a Gaussian: asymptotic variance, the constant in
Makarov's law of iterated logarithm and the second derivative of the integral
means spectrum at the origin. While these quantities need not be equal in
general, we show that the universal bounds agree if we take the supremum over
the Bloch unit ball. For the supremum (of either of these quantities), we give
the estimate $\Sigma^2_{\mathcal B} < \min(0.9, \Sigma^2)$, where $\Sigma^2$ is
the analogous quantity associated to the unit ball in the $L^\infty$ norm on
the Bloch space. This improves on the upper bound in Pommerenke's estimate
$0.685^2 < \Sigma^2_{\mathcal B} \le 1$.


title: TV denoising of two balls in the plane

abstract:
  The aim of this paper is to compute the explicit solution of the total
variation denoising problem corresponding to the characteristic function of a
set which is the union of two planar disjoint balls with different radii.


title: Electromagnetic response of 12C: a first-principles calculation

abstract:
  The longitudinal and transverse electromagnetic response functions of
$^{12}$C are computed in a "first-principles" Green's function Monte Carlo
calculation, based on realistic two- and three-nucleon interactions and
associated one- and two-body currents. We find excellent agreement between
theory and experiment and, in particular, no evidence for the quenching of
measured versus calculated longitudinal response. This is further corroborated
by a re-analysis of the Coulomb sum rule, in which the contributions from the
low-lying $J^\pi\,$=$\, 2^+$, $0^+_2$ (Hoyle), and $4^+$ states in $^{12}$C are
accounted for explicitly in evaluating the total inelastic strength.


title:
Optimal adaptive two-stage designs for single-arm trial with binary
  endpoint

abstract:
  Minimizing the number of patients exposed to potentially harmful drugs in
early onco logical trials is a major concern during planning. Adaptive designs
account for the inherent uncertainty about the true effect size by determining
the final sample size within an ongoing trial after an interim look at the
data. We formulate the problem of finding adaptive designs which minimize
expected sample size under the null hypothesis for single-arm trials with
binary outcome as an integer linear program. This representation can be used to
identify optimal adaptive designs which improve previous designs in two ways:
Firstly, designs can be found exhibiting lower expected sample size under the
null hypothesis than those provided by previous algorithms. Secondly, we
explain how integer programming techniques can be exploited to remove
pathologies of the optimal and previous solutions arising from the discrete
nature of the underlying statistics. The resulting designs are both efficient
in terms of expected sample size under the null hypothesis and well
interpretable.


title: Shadows of 4-manifolds with complexity zero and polyhedral collapsing

abstract:
  Our purpose is to classify acyclic 4-manifolds having shadow complexity zero.
In this paper, we focus on simple polyhedra and discuss this problem
combinatorially. We consider a shadowed polyhedron $X$ and a simple polyhedron
$X_0$ that is obtained by collapsing from $X$. Then we prove that there exists
a canonical way to equip internal regions of $X_0$ with gleams so that two
4-manifolds reconstructed from $X_0$ and $X$ are diffeomorphic. We also show
that any acyclic simple polyhedron whose singular set is a union of circles can
collapse onto a disk. As a consequence of these results, we prove that any
acyclic 4-manifold having shadow complexity zero with boundary is diffeomorphic
to a 4-ball.


title: A vector-contraction inequality for Rademacher complexities

abstract:
  The contraction inequality for Rademacher averages is extended to Lipschitz
functions with vector-valued domains, and it is also shown that in the bounding
expression the Rademacher variables can be replaced by arbitrary iid symmetric
and sub-gaussian variables. Example applications are given for multi-category
learning, K-means clustering and learning-to-learn.


title:
Fast Rates for General Unbounded Loss Functions: from ERM to Generalized
  Bayes

abstract:
  We present new excess risk bounds for general unbounded loss functions
including log loss and squared loss, where the distribution of the losses may
be heavy-tailed. The bounds hold for general estimators, but they are optimized
when applied to $\eta$-generalized Bayesian, MDL, and empirical risk
minimization estimators. In the case of log loss, the bounds imply convergence
rates for generalized Bayesian inference under misspecification in terms of a
generalization of the Hellinger metric as long as the learning rate $\eta$ is
set correctly. For general loss functions, our bounds rely on two separate
conditions: the $v$-GRIP (generalized reversed information projection)
conditions, which control the lower tail of the excess loss; and the newly
introduced witness condition, which controls the upper tail. The parameter $v$
in the $v$-GRIP conditions determines the achievable rate and is akin to the
exponent in the Tsybakov margin condition and the Bernstein condition for
bounded losses, which the $v$-GRIP conditions generalize; favorable $v$ in
combination with small model complexity leads to $\tilde{O}(1/n)$ rates. The
witness condition allows us to connect the excess risk to an "annealed" version
thereof, by which we generalize several previous results connecting Hellinger
and R\'enyi divergence to KL divergence.


title:
Further results on degree based topological indices of certain chemical
  networks

abstract:
  There are various topological indices such as degree based topological
indices, distance based topological indices and counting related topological
indices etc. These topological indices correlate certain physicochemical
properties such as boiling point, stability of chemical compounds. In this
paper, we compute the sum-connectivity index and multiplicative Zagreb indices
for certain networks of chemical importance like silicate networks, hexagonal
networks, oxide networks, and honeycomb networks. Moreover, a comparative study
using computer-based graphs has been made to clarify their nature for these
families of networks.


title: Homomorphisms and rigid isomorphisms of twisted group doubles

abstract:
  We prove several results concerning quasi-bialgebra morphisms
$\mathcal{D}^\omega(G)\to\mathcal{D}^\eta(H)$ of twisted group doubles. We take
a particular focus on the isomorphisms which are simultaneously isomorphisms
$\mathcal{D}(G)\to\mathcal{D}(H)$. All such isomorphisms are shown to be
morphisms of quasi-Hopf algebras, and a classification of all such isomorphisms
is determined. Whenever $\omega\in Z^3(G/Z(G),U(1))$ this suffices to
completely describe $\operatorname{Aut}(\mathcal{D}^\omega(G))$, the group of
quasi-Hopf algebra isomorphisms of $\mathcal{D}^\omega(G)$, and so generalizes
existing descriptions for the case where $\omega$ is trivial.


title:
Development of a method for measuring blood coagulation using
  superparamagnetic iron oxide nanoparticles and an alternating magnetic field

abstract:
  We developed a method for measuring blood coagulation using superparamagnetic
iron oxide nanoparticles (SPIONs) and an alternating magnetic field (AMF). The
3rd and 5th harmonic signals from SPIONs mixed with blood induced by AMF were
detected using a gradiometer coil. Blood coagulation was induced artificially
by adding CaCl2 solution to whole blood of sheep at various temperatures and
hematocrits. We calculated the coagulation rate (k) and normalized signal
intensity at infinite time (Sinf) by fitting the time course of the normalized
3rd harmonic signal to S(t)=(1-Sinf)exp(-kt)+Sinf. The k values increased
significantly with increasing temperature and decreased significantly with
increasing hematocrit. The Sinf values decreased significantly with increasing
temperature and tended to increase with increasing hematocrit. Blood
anticoagulation was induced by adding heparin to the whole blood sampled from
mice. There were significant differences in both the 3rd and 5th harmonic
signals between groups with and without heparin at 25 min or more after adding
heparin. We also calculated the 3rd and 5th harmonic signals for viscosities
ranging from 0.001 to 1 kg/m/s, with an assumption that the magnetization and
particle size distribution of SPIONs obey the Langevin theory of paramagnetism
and log-normal distribution, respectively. The 3rd and 5th harmonic signals
increased slowly with increasing viscosity and had peaks at approximately 0.015
and 0.025 kg/m/s, respectively. After these peaks, they decreased monotonically
with increasing viscosity. These results confirm the rationale of our method.
In conclusion, our method will be useful for measuring blood coagulation and
anticoagulation and for studying their processes.


title: An Approach to "Quantumness" in Coherent Control

abstract:
  Developments in the foundations of quantum mechanics have identified several
attributes and tests associated with the "quantumness" of systems, including
entanglement, nonlocality, quantum erasure, Bell test, etc. Here we introduce
and utilize these tools to examine the role of quantum coherence and
nonclassical effects in 1 vs. N photon coherent phase control, a paradigm for
an all-optical method for manipulating molecular dynamics. In addition, truly
quantum control scenarios are introduced and examined. The approach adopted
here serves as a template for studies of the role of quantum mechanics in other
coherent control and optimal control scenarios.


title:
Linear transformations and strong $q$-log-concavity for certain
  combinatorial triangle

abstract:
  It is well-known that the binomial transformation preserves the log-concavity
property and log-convexity property. Let $\binom{a+n}{b+k}$ be the binomial
coefficients and $\binom{n,k}{j}$ be defined by
$(b_0+b_1x+\cdots+b_kx^{k})^n:=\sum_{j=0}^{kn}\binom{n,k}{j}x^j,$ where the
sequence $(b_i)_{0\leq i\leq k}$ is log-concave. In this paper, we prove that
the linear transformation $$y_n(q)=\sum_{k=0}^n\binom{a+n}{b+k}x_k(q)$$
preserves the strong $q$-log-concavity property for any fixed nonnegative
integers $a$ and $b$, which strengthens and gives a simple proof of results of
Ehrenborg and Steingrimsson, and Wang, respectively, on linear transformations
preserving the log-concavity property. We also show that the linear
transformation $$y_n=\sum_{i=0}^{kn}\binom{n,k}{j}x_i$$ not only preserves the
log-concavity property, but also preserves the log-convexity property, which
extends the results of Ahmia and Belbachir about the $s$-triangle
transformation preserving the log-convexity property and log-concavity
property. Let $[A_{n,k}(q)]_{n, k\geq0}$ be an infinite lower triangular array
of polynomials in $q$ with nonnegative coefficients satisfying the recurrence
\begin{eqnarray*}\label{re}
A_{n,k}(q)=f_{n,k}(q)\,A_{n-1,k-1}(q)+g_{n,k}(q)\,A_{n-1,k}(q)+h_{n,k}(q)\,A_{n-1,k+1}(q),
\end{eqnarray*} for $n\geq 1$ and $k\geq 0$, where $A_{0,0}(q)=1$,
$A_{0,k}(q)=A_{0,-1}(q)=0$ for $k>0$. We present criterions for the strong
$q$-log-concavity of the sequences in each row of $[A_{n,k}(q)]_{n, k\geq0}$.
As applications, we get the strong $q$-log-concavity or the log-concavity of
the sequences in each row of many well-known triangular arrays, such as the
Bell polynomials triangle, the Eulerian polynomials triangle and the Narayana
polynomials triangle in a unified approach.


title:
Lecture notes on closed orbits for twisted autonomous Tonelli Lagrangian
  flows

abstract:
  These notes were prepared in occasion of a mini-course given by the author at
the "CIMPA Research School - Hamiltonian and Lagrangian Dynamics" (10-19 March
2015 - Salto, Uruguay). The talks were meant as an introduction to the problem
of finding periodic orbits of prescribed energy for autonomous Tonelli
Lagrangian systems on the twisted cotangent bundle of a closed manifold. In the
first part of the lecture notes, we put together in a general theorem old and
new results on the subject. In the second part, we focus on an important class
of examples: magnetic flows on surfaces. For such systems, we discuss a special
method, originally due to Taimanov, to find periodic orbits with low energy and
we study in detail the stability properties of the energy levels.


title:
Tailoring Rydberg interactions via F\"orster resonances: state
  combinations, hopping and angular dependence

abstract:
  F\"orster resonances provide a highly flexible tool to tune both the strength
and the angular shape of interactions between two Rydberg atoms. We give a
detailed explanation about how F\"orster resonances can be found by searching
through a large range of possible quantum number combinations. We apply our
search method to $SS$, $SD$ and $DD$ pair states of $^{87}$Rb with principal
quantum numbers from 30 to 100, taking into account the fine structure
splitting of the Rydberg states. We find various strong resonances between
atoms with a large difference in principal quantum numbers. We quantify the
strength of these resonances by introducing a figure of merit $\tilde C_3$
which is independent of the magnetic quantum numbers and geometry to classify
the resonances by interaction strength. We further predict to what extent
excitation exchange is possible on different resonances and point out
limitations of the coherent hopping process. Finally, we discuss the angular
dependence of the dipole-dipole interaction and its tunability near resonances.


title:
Vertex Decomposition of Steiner Wiener Index and Steiner Betweenness
  Centrality

abstract:
  A formula based on a vertex contributions of the Steiner $k$-Wiener index is
induced by a newly introduced $k$-Steiner betweenness centrality, which
measures the number of $k$-Steiner trees that include a particular vertex as a
non-terminal vertex. This generalizes \v{S}krekovski and Gutman's Vertex
version of the Wiener Theorem and a result of Gago on the average betweenness
centrality and the average distance in general graphs.


title:
Dynamics of Warm Chaplygin Gas Inflationary Models With Quartic
  Potential

abstract:
  Warm inflationary universe models in the context of generalized chaplygin
gas, modified chaplygin gas, generalized cosmic chaplygin gas are being
studied. The dissipative coefficient of the form $\Gamma\propto T$, weak and
strong dissipative regimes are being considered. We use quartic potential
$\frac{\lambda_{*}\phi^{4}}{4}$, which is ruled out by current data in cold
inflation but in our models it is analyzed that it is in agreement with the
WMAP$9$ and latest Planck data. In these scenarios, the power spectrum,
spectral index, and tensor to scalar ratio are being examined under the slow
roll approximation. We show the dependence of tensor scalar ratio $r$ on
spectral index $n_{s}$ and observe that the range of tensor scalar ratio is
$r<0.05$ in generalized chaplygin gas, $r<0.15$ in modified chaplygin gas, and
$r<0.12$ in generalized cosmic chaplygin gas models. Our results are in
agreement with recent observational data like WMAP$9$ and latest Planck data.


title:
Freeness of spherical Hecke modules of unramified $U(2,1)$ in
  characteristic $p$

abstract:
  Let $F$ be a non-archimedean local field of odd residue characteristic $p$.
Let $G$ be the unramified unitary group $U(2, 1)(E/F)$ in three variables, and
$K$ be a maximal compact open subgroup of $G$. For an irreducible smooth
representation $\sigma$ of $K$ over $\overline{\mathbf{F}}_p$, we prove that
the compactly induced representation $\text{ind}^G _K \sigma$ is free of
infinite rank over the spherical Hecke algebra $\mathcal{H}(K, \sigma)$.


title: Unprovability of circuit upper bounds in Cook's theory PV

abstract:
  We establish unconditionally that for every integer $k \geq 1$ there is a
language $L \in \mbox{P}$ such that it is consistent with Cook's theory PV that
$L \notin Size(n^k)$. Our argument is non-constructive and does not provide an
explicit description of this language.


title:
Microscopic description of insulator-metal transition in high-pressure
  oxygen

abstract:
  Unusual metallic states involving breakdown of the standard Fermi-liquid
picture of long-lived quasiparticles in well-defined band states emerge at low
temperatures near correlation-driven Mott transitions. Prominent examples are
ill-understood metallic states in $d$- and $f$-band compounds near Mott-like
transitions. Finding of superconductivity in solid O$_{2}$ on the border of an
insulator-metal transition at high pressures close to 96~GPa is thus truly
remarkable. Neither the insulator-metal transition nor superconductivity are
understood satisfactorily. Here, we undertake a first step in this direction by
focussing on the pressure-driven insulator-metal transition using a combination
of first-principles density-functional and many-body calculations. We report a
striking result: the finding of an orbital-selective Mott transition in a pure
$p$-band elemental system. We apply our theory to understand extant structural
and transport data across the transition, and make a specific two-fluid
prediction that is open to future test. Based thereupon, we propose a novel
scenario where soft multiband modes built from microscopically coexisting
itinerant and localized electronic states are natural candidates for the
pairing glue in pressurized O$_{2}$.


title: On the feasibility of semi-algebraic sets in Poisson regression

abstract:
  Designing experiments for generalized linear models is difficult because
optimal designs depend on unknown parameters. The local optimality approach is
to study the regions in parameter space where a given design is optimal. In
many situations these regions are semi-algebraic. We investigate regions of
optimality using computer tools such as yalmip, qepcad, and Mathematica.


title:
Some remarks on the Balog-Wooley decomposition theorem and quantities
  D^+, D^\times

abstract:
  In the paper we study two characteristics D^+ (A), D^\times (A) of a set A
which play important role in recent results concerning sum-product phenomenon.
Also we obtain several variants and improvements of the Balog-Wooley
decomposition theorem. In particular, we prove that any finite subset of real
numbers can be split into two sets with small quantities D^+ and D^\times.


title: Distributed Algorithms for Aggregative Games on Graphs

abstract:
  We consider a class of Nash games, termed as aggregative games, being played
over a networked system. In an aggregative game, a player's objective is a
function of the aggregate of all the players' decisions. Every player maintains
an estimate of this aggregate, and the players exchange this information with
their local neighbors over a connected network. We study distributed
synchronous and asynchronous algorithms for information exchange and
equilibrium computation over such a network. Under standard conditions, we
establish the almost-sure convergence of the obtained sequences to the
equilibrium point. We also consider extensions of our schemes to aggregative
games where the players' objectives are coupled through a more general form of
aggregate function. Finally, we present numerical results that demonstrate the
performance of the proposed schemes.


title:
Cohomology and Deformation of Virasoro Extensions of q-Witt Hom-Lie
  superalgebra

abstract:
  The purpose of this paper is to study Virasoro extensions of the q-deformed
Witt Hom-Lie superalgebra. Moreover, we provide the cohomology and deformations
of the Ramond Hom-superalgebra and special Ramond Hom-superalgebra.


title:
Entropy production by active particles: Coupling of odd and even
  functions of velocity

abstract:
  Non-equilibrium stochastic dynamics of several active Brownian systems are
modeled in terms of non-linear velocity dependent force. In general, this force
may consist of both even and odd functions of velocity. We derive the
expression for total entropy production in such systems using the Fokker-Planck
equation. The result is consistent with the expression for stochastic entropy
production in the reservoir, that we obtain from probabilities of time-forward
and time-reversed trajectories, leading to fluctuation theorems. Numerical
simulation is used to find probability distribution of entropy production,
which shows good agreement with the detailed fluctuation theorem.


title:
The first low-mass black hole X-ray binary identified in quiescence
  outside of a globular cluster

abstract:
  The observed relation between the X-ray and radio properties of
low-luminosity accreting black holes has enabled the identification of multiple
candidate black hole X-ray binaries (BHXBs) in globular clusters. Here we
report an identification of the radio source VLA J213002.08+120904 (aka M15
S2), recently reported in Kirsten et al. 2014, as a BHXB candidate. They showed
that the parallax of this flat-spectrum variable radio source indicates a
2.2$^{+0.5}_{-0.3}$ kpc distance, which identifies it as lying in the
foreground of the globular cluster M15. We determine the radio characteristics
of this source, and place a deep limit on the X-ray luminosity of
$\sim4\times10^{29}$ erg s$^{-1}$. Furthermore, we astrometrically identify a
faint red stellar counterpart in archival Hubble images, with colors consistent
with a foreground star; at 2.2 kpc its inferred mass is 0.1-0.2 $M_{\odot}$. We
rule out that this object is a pulsar, neutron star X-ray binary, cataclysmic
variable, or planetary nebula, concluding that VLA J213002.08+120904 is the
first accreting black hole X-ray binary candidate discovered in quiescence
outside a globular cluster. Given the relatively small area over which parallax
studies of radio sources have been performed, this discovery suggests a much
larger population of quiescent BHXBs in our Galaxy,
$2.6\times10^4-1.7\times10^8$ BHXBs at $3\sigma$ confidence, than has been
previously estimated ($\sim10^2-10^4$) through population synthesis.


title: The $\Sigma^1$ invariant for some Artin groups of arbitrary circuit rank

abstract:
  We classify the Bieri-Neumann-Strebel-Renz invariant $\Sigma^1(G)$ for a
class of Artin groups with minimal graphs of arbitrary circuit rank.


title:
Quench-Induced Degradation of the Quality Factor in Superconducting
  Resonators

abstract:
  Quench of superconducting radio-frequency cavities frequently leads to the
lowered quality factor Q0, which had been attributed to the additional trapped
magnetic flux. Here we demonstrate that the origin of this magnetic flux is
purely extrinsic to the cavity by showing no extra dissipation (unchanged Q0)
after quenching in zero magnetic field, which allows us to rule out intrinsic
mechanisms of flux trapping such as generation of thermal currents or trapping
of the rf field. We also show the clear relation of dissipation introduced by
quenching to the orientation of the applied magnetic field and the possibility
to fully recover the quality factor by requenching in the compensated field. We
discover that for larger values of the ambient field, the Q-factor degradation
may become irreversible by this technique, likely due to the outward flux
migration beyond the normal zone opening during quench. Our findings are of
special practical importance for accelerators based on low- and medium-beta
accelerating structures residing close to focusing magnets, as well as for all
high-Q cavity-based accelerators.


title: Lattice simplices of maximal dimension with a given degree

abstract:
  It was proved by Nill that for any lattice simplex of dimension $d$ with
degree $s$ which is not a lattice pyramid, the inequality $d+1 \leq 4s-1$
holds. In this paper, we give a complete characterization of lattice simplices
satisfying the equality, i.e., the lattice simplices of dimension $(4s-2)$ with
degree $s$ which are not lattice pyramids. It turns out that such simplices
arise from binary simplex codes. As an application of this characterization, we
show that such simplices are counterexamples for the conjecture known as
"Cayley conjecture". Moreover, by modifying Nill's inequaitly slightly, we also
see the sharper bound $d+1 \leq f(2s)$, where $f(M)=\sum_{n=0}^{\lfloor \log_2
M \rfloor} \lfloor M/2^n \rfloor$ for $M \in \mathbb{Z}_{\geq 0}$. We also
observe that any lattice simplex attaining this sharper bound always comes from
a binary code.


title: Uncertain Wiretap Channels and Secure Estimation

abstract:
  Uncertain wiretap channels are introduced. Their zero-error secrecy capacity
is defined. If the sensor-estimator channel is perfect, it is also calculated.
Further properties are discussed. The problem of estimating a dynamical system
with nonstochastic disturbances is studied where the sensor is connected to the
estimator and an eavesdropper via an uncertain wiretap channel. The estimator
should obtain a uniformly bounded estimation error whereas the eavesdropper's
error should tend to infinity. It is proved that the system can be estimated
securely if the zero-error capacity of the sensor-estimator channel is strictly
larger than the logarithm of the system's unstable pole and the zero-error
secrecy capacity of the uncertain wiretap channel is positive.


title: Comment on "Galilean invariance at quantum Hall edge"

abstract:
  In a recent paper by S. Moroz, C. Hoyos, and L. Radzihovsky [Phys. Rev. B 91,
195409 (2015)], it is claimed that the conductivity at low frequency $\omega$
and small wavevector $q$ along the edge of a quantum Hall (QH) system (that
possesses Galilean invariance along the edge) contains a universal contribution
of order $q^2$ that is determined by the orbital spin per particle in the bulk
of the system, or alternatively by the shift of the ground state. (These
quantities are known to be related to the Hall viscosity of the bulk.) In this
Comment we calculate the real part of the conductivity, integrated over
$\omega$, in this regime for the edge of a system of non-interacting electrons
filling either the lowest, or the lowest $\nu$ ($\nu=1$, $2$, . . .), Landau
level(s), and show that the $q^2$ term is non-universal and depends on details
of the confining potential at the edge. In the special case of a linear
potential, a form similar to the prediction is obtained, it is possible that
this corrected form of the prediction may also hold for fractional QH states in
systems with special forms of interactions between electrons.


title:
Discovery of $\gamma$-ray emission from the radio-intermediate quasar
  III Zw 2: violent jet activity with intraday $\gamma$-ray variability

abstract:
  III Zw 2 is the prototype of radio-intermediate quasars. Although there is
the evidence of possessing strong jet, significant $\gamma$-ray emission has
not been reported before. In this work, we carry out a detailed analysis of the
latest {\it Fermi}-LAT {\it Pass} 8 data. No significant $\gamma$-ray signal
has been detected in the time-averaged 7-year {\it Fermi}-LAT data of III Zw 2,
we however have identified two distinct $\gamma$-ray flares with isotropic
luminosities of $\sim 10^{45}$ erg $\rm s^{-1}$. Multiwavelength data analysis
(including also the optical photometric observations from Yunnan Observatories)
are presented and the main finding is the simultaneous optical and $\gamma$-ray
flares of III Zw 2 appearing in Nov. 2009. Violent $\gamma$-ray variability
with doubling timescale of 2.5 hours was detected in another $\gamma$-ray flare
in May 2010, for which the 3-hour $\gamma$-ray peak flux is $\sim 250$ times of
the average flux in 7 years. Rather similar behaviors are observed in blazars
and the blazar model can reasonably reproduce the spectral energy distribution
of III Zw 2 in a wide energy range, strongly suggesting that its central engine
resembles that of blazars. In view of its core which shares radio similarities
with young radio sources together with the weak extended radio lobe emission,
we suggest that III Zw 2 harbors a recurrent activity core and serves as a
valuable target for investigating the fuelling and triggering of the activity
in radio loud AGNs.