title: A Comparison of Two Complexes

abstract:
  In this paper we prove the conjecture of Lusztig in "Generic character
sheaves on groups over $\mathbf{k}[\epsilon]/(\epsilon^r)$." Given a reductive
group over $\mathbb{F}_q$ for some $r\geq 2$, there is a notion of a character
sheaf defined in "Character sheaves and generalizations" by Lusztig. On the
other hand, there is also a geometric analogue of the character constructed by
G\'erardin. The conjecture states that the two constructions are equivalent,
which Lusztig also proved for $r=2, 3, 4$. Here we generalize his method to
prove this conjecture for general $r$. As a corollary we prove that the
characters derived from these two complexes are equal.


title: One-way Quantum Deficit and Decoherence for Two-qubit $X$ States

abstract:
  We study one-way quantum deficit of two-qubit $X$ states systematically from
analytical derivations. An effective approach to compute one-way quantum
deficit of two-qubit $X$ states has been provided. Analytical results are
presented as for detailed examples. Moreover, we demonstrate the decoherence of
one-way quantum deficit under phase damping channel.


title:
Thermo-magnetic effects in quark matter: Nambu--Jona-Lasinio model
  constrained by lattice QCD

abstract:
  The phenomenon of inverse magnetic catalysis of chiral symmetry in QCD
predicted by lattice simulations can be reproduced within the
Nambu--Jona-Lasinio model if the coupling~$G$ of the model decreases with the
strength $B$ of the magnetic field and temperature~$T$. The thermo-magnetic
dependence of $G(B,T)$ is obtained by fitting recent lattice QCD predictions
for the chiral transition order parameter. Different thermodynamic quantities
of magnetized quark matter evaluated with $G(B, T)$ are compared with the ones
obtained at constant coupling, $G$. The model with $G(B,T)$ predicts a more
dramatic chiral transition as the field intensity increases. In addition, the
pressure and magnetization always increase with $B$ for a given temperature.
Being parametrized by four magnetic field dependent coefficients and having a
rather simple exponential thermal dependence our accurate ansatz for the
coupling constant can be easily implemented to improve typical model
applications to magnetized quark matter.


title: Preparation of entangled states through Hilbert space engineering

abstract:
  Entangled states are a crucial resource for quantum-based technologies such
as quantum computers and quantum communication systems (1,2). Exploring new
methods for entanglement generation is important for diversifying and
eventually improving current approaches. Here, we create entanglement in atomic
ions by applying laser fields to constrain the evolution to a restricted number
of states, in an approach that has become known as "quantum Zeno dynamics"
(3-5). With two trapped $^9\rm{Be}^+$ ions, we obtain Bell state fidelities up
to $0.990^{+2}_{-5}$, with three ions, a W-state (6) fidelity of
$0.910^{+4}_{-7}$ is obtained. Compared to other methods of producing
entanglement in trapped ions, this procedure is relatively insensitive to
certain imperfections such as fluctuations in laser intensity, laser frequency,
and ion-motion frequencies.


title:
Queue Theory based Response Time Analyses for Geo-Information Processing
  Chain

abstract:
  Typical characteristics of remote sensing applications are concurrent tasks,
such as those found in disaster rapid response. The existing composition
approach to geographical information processing service chain, searches for an
optimisation solution and is what can be deemed a "selfish" way. This way leads
to problems of conflict amongst concurrent tasks and decreases the performance
of all service chains. In this study, a non-cooperative game-based mathematical
model to analyse the competitive relationships between tasks, is proposed. A
best response function is used, to assure each task maintains utility
optimisation by considering composition strategies of other tasks and
quantifying conflicts between tasks. Based on this, an iterative algorithm that
converges to Nash equilibrium is presented, the aim being to provide good
convergence and maximise the utilisation of all tasks under concurrent task
conditions. Theoretical analyses and experiments showed that the newly proposed
method, when compared to existing service composition methods, has better
practical utility in all tasks.


title: Totally acyclic complexes

abstract:
  For a given class of modules $\A$, we denote by $\widetilde{\A}$ the class of
exact complexes $X$ having all cycles in $\A$, and by $dw(\A)$ the class of
complexes $Y$ with all components $Y_j$ in $\A$. We consider a two sided
noetherian ring $R$ and we use the notations $\mathcal{GI}$ $(\mathcal{GF},
\mathcal{GP})$ for the class of Gorenstein injective (flat, projective
respectively) $R$-modules. We prove (Theorem 1) that the following are
equivalent: 1. Every exact complex of injective modules is totally acyclic. 2.
Every exact complex of Gorenstein injective modules is in
$\widetilde{\mathcal{GI}}$. 3. Every complex in $dw(\mathcal{GI})$ is
dg-Gorenstein injective. Theorem 2 shows that the analogue result for complexes
of flat and Gorenstein flat modules also holds. We prove (Corollary 1) that,
over a commutative noetherian ring $R$, the equivalent statements in Theorem 1
(as well as their counterparts from Theorem 2) hold if and only if the ring is
Gorenstein. Thus we improve on a result of Iyengar's and Krause's; in [18] they
proved that for a commutative noetherian ring $R$ with a dualizing complex, the
class of exact complexes of injectives coincides with that of totally acyclic
complexes of injectives if and only if $R$ is Gorenstein. We are able to remove
the dualizing complex hypothesis. In the second part of the paper we focus on
two sided noetherian rings that satisfy the Auslander condition. We prove
(Theorem 6) that for such a ring $R$ that also has finite finitistic flat
dimension, every complex of injective (left and respectively right) $R$-modules
is totally acyclic if and only if $R$ is a Gorenstein ring.


title:
Superconductivity driven by pairing of the coherent parts of the
  physical electrons

abstract:
  How the superconductivity in unconventional superconductors emerges from the
diverse mother normal states is still a big puzzle. Whatever the mother normal
states are the superconductivity is {\em normal} with BCS-like behaviours of
the paired quasiparticles in condensation. To reconcile the diverse mother
normal states and the normal superconductivity in unconventional
superconductors, we revisit a proposal that the emergence of the low-energy
coherent parts of the physical electrons, which survive from the interaction
correlations, is an essential prerequisite for superconductivity. The
superconductivity is driven by the pair condensation of these coherent parts of
the physical electrons. Moreover the incoherent parts of the physical electrons
can enhance the superconducting transition temperature $T_c$ although they are
not in driving role in the emergence of the superconductivity. Some
experimental responses of the coherent parts of the physical electrons are
predicted.


title:
Physical and Geometrical Parameters of CVBS X: The Spectroscopic Binary
  Gliese 762.1

abstract:
  We present the physical and geometrical parameters of the individual
components of the close visual double-lined spectroscopic binary system Gliese
762.1, which were estimated using Al-Wardat's complex method for analyzing
close visual binary systems. The estimated parameters of the individual
components of the system are as follows: radius $R_{A}=0.845\pm0.09 R_\odot$,
$R_{B}=0.795\pm0.10 R_\odot$, effective temperature $T_{\rm eff}^{A}
=5300\pm50$\,K, $T_{\rm eff}^{B} =5150\pm50$\,K, surface gravity log
$g_{A}=4.52\pm0.10$, log $g_{B}=4.54\pm0.15$ and luminosity $L_A=0.51\pm0.08
L_\odot$, $L_B=0.40\pm0.07L_\odot$. New orbital elements are presented with a
semi-major axis of $0.0865 \pm 0.010 $ arcsec using the Hippracos parallax
$\pi=58.96\pm0.65$ mas, and an accurate total mass and individual masses of the
system are determined as $M=1.72\pm0.60M_\odot$, $M_A=0.89 \pm0.08M_\odot$ and
$M_B=0.83 \pm0.07M_\odot$. Finally, the spectral types and luminosity classes
of both components are assigned as K0V and K1.5V for the primary and secondary
components respectively, and their positions on the H-R diagram and
evolutionary tracks are given.


title: Mass constraint for a planet in a protoplanetary disk from the gap width

abstract:
  A giant planet creates a gap in a protoplanetary disk, which might explain
the observed gaps in protoplanetary disks. The width and depth of the gaps
depend on the planet mass and disk properties. We have performed
two--dimensional hydrodynamic simulations for various planet masses, disk
aspect ratios and viscosities, to obtain an empirical formula for the gap
width. The gap width is proportional to the square root of the planet mass,
-3/4 power of the disk aspect ratio and -1/4 power of the viscosity. This
empirical formula enables us to estimate the mass of a planet embedded in the
disk from the width of an observed gap. We have applied the empirical formula
for the gap width to the disk around HL~Tau, assuming that each gap observed by
ALMA observations is produced by planets, and discussed the planet masses
within the gaps. The estimate of planet masses from the gap widths is less
affected by the observational resolution and dust filtration than that from the
gap depth.


title: Two Lectures on Gauge Theory and Khovanov Homology

abstract:
  In the first of these two lectures, I use a comparison to symplectic Khovanov
homology to motivate the idea that the Jones polynomial and Khovanov homology
of knots can be defined by counting the solutions of certain elliptic partial
differential equations in 4 or 5 dimensions. The second lecture is devoted to a
description of the rather unusual boundary conditions by which these equations
should be supplemented. An appendix describes some physical background.
(Versions of these lectures have been presented at various institutions
including the Simons Center at Stonybrook, the TSIMF conference center in
Sanya, and also Columbia University and the University of Pennsylvania.)


title:
Size of the Largest Induced Forest in Subcubic Graphs of Girth at least
  Four and Five

abstract:
  In this paper, we address the maximum number of vertices of induced forests
in subcubic graphs with girth at least four or five. We provide a unified
approach to prove that every 2-connected subcubic graph on $n$ vertices and $m$
edges with girth at least four or five, respectively, has an induced forest on
at least $n-\frac{2}{9}m$ or $n-\frac{1}{5}m$ vertices, respectively, except
for finitely many exceptional graphs. Our results improve a result of Liu and
Zhao and are tight in the sense that the bounds are attained by infinitely many
2-connected graphs. Equivalently, we prove that such graphs admit feedback
vertex sets with size at most $\frac{2}{9}m$ or $\frac{1}{5}m$, respectively.
Those exceptional graphs will be explicitly constructed, and our result can be
easily modified to drop the 2-connectivity requirement.


title: Real-time 3D scene description using Spheres, Cones and Cylinders

abstract:
  The paper describes a novel real-time algorithm for finding 3D geometric
primitives (cylinders, cones and spheres) from 3D range data. In its core, it
performs a fast model fitting with a model update in constant time (O(1)) for
each new data point added to the model. We use a three stage approach.The first
step inspects 1.5D sub spaces, to find ellipses. The next stage uses these
ellipses as input by examining their neighborhood structure to form sets of
candidates for the 3D geometric primitives. Finally, candidate ellipses are
fitted to the geometric primitives. The complexity for point processing is
O(n); additional time of lower order is needed for working on significantly
smaller amount of mid-level objects. This allows the approach to process 30
frames per second on Kinect depth data, which suggests this approach as a
pre-processing step for 3D real-time higher level tasks in robotics, like
tracking or feature based mapping.


title:
Minimal Graphs in the Hyperbolic Space with Singular Asymptotic
  Boundaries

abstract:
  We study asymptotic behaviors of solutions $f$ to the Dirichlet problem for
minimal graphs in the hyperbolic space with singular asymptotic boundaries
under the assumption that the boundaries are piecewise regular with positive
curvatures. We derive an estimate of such solutions by the corresponding
solutions in the intersections of interior tangent balls. The positivity of
curvatures plays an important role.


title:
Determination of a dineutron correlation in Borromean nuclei via a
  quasi-free knockout ($p,pn$) reaction?

abstract:
  To discuss the dineutron correlation in the ground state, the quasi-free
neutron knockout reaction on $^6$He is investigated.In the present work, the
momentum distribution of the two emitted neutrons is calculated with the
$\alpha$~+~$n$~+~$n$ three-body model and a simple reaction model to assess the
effects of the knockout process via the $^5$He resonance and the target
dependence in the momentum distribution. A clear signature of the dineutron
correlation can be obtained by choosing the kinematical condition so the
process via the $^5$He resonance is excluded because the $^5$He resonance
drastically changes the momentum distribution. Using the proton target is
important in the quantitative discussion on the dineutron correlation by the
knockout reaction. In addition to theoretical arguments, a possible
experimental setup to determine the dineutron correlation via the quasi-free
knockout reaction is considered.


title: Cataclysmic Variables observed during K2 Campaigns 0 and 1

abstract:
  There are 15 cataclysmic variables (CVs) observed in the first two campaigns
of the K2 mission. In this paper, the eight CVs showing distinct features are
analyzed in detail. Among these eight, modulations during quiescence are
evident at the known orbital periods in the SU UMa stars QZ Vir and RZ Leo, and
at our newly determined orbital periods of 1RXS J0632+2536 and WD 1144+011. The
periodogram analysis for the quiescent light curve of QZ Vir reveals
multi-period modulations and the coexistence of orbital and superhump periods.
The phased orbital light curves for the other 3 CVs in quiescence display wide
(about half cycle) and shallow (< 0.5 mag) eclipse features. Besides these
modulations, their quiescent light curves reveal several transient events: a
sudden decrease of system light in 1RXS J0632+2536, a low level flare-like
event in QZ Vir, a short brightening event in RZ Leo and a temporary
disappearance of the orbital modulation in WD 1144+011. The two known dwarf
novae UV Gem and TW Vir and the CVs USNO-B1.01144-00115322 and
CSS130516:111236.7+002807 show outbursts, including 1 complete and 3 incomplete
normal outbursts and 2 complete superoutbursts. An incomplete but typical
normal outburst confirms the dwarf nova identification of the
USNO-B1.01144-00115322. The one complete normal outburst in UV Gem possibly
provides the orbital period, since its modulations are shorter than the
previously observed superhump period. The superoutbursts of TW Vir and
CSS130516:111236.7+002807, along with their corresponding superhump periods,
indicate that both objects are SU UMa stars. The derived superhump period of
CSS130516:111236.7+002807 is 1.44 hr, implying that this new SU UMa star is
close to the period minimum.


title:
Green's Function of Magnetic Topological Insulator in Gradient Expansion
  Approach

abstract:
  We study the Keldysh Green's function of the Weyl-fermion surface state of
the three-dimensional topological insulator coupled with a space-time dependent
magnetization in the gradient expansion. Based on it we analyze the electric
charge and current densities as well as the energy density and current induced
by spatially and temporally slowly-varying magnetization fields. We show that
all the above quantities except the energy current are generated by the
emergent electromagnetic fields. The energy current emerges as the circular
current reflecting the spatial modulation of an induced gap of the Weyl
fermion.


title:
Photodisintegration cross section of $^9$Be up to 16 MeV in the $\alpha$
  + $\alpha$ + n three-body model

abstract:
  The photodisintegration of $^9$Be in the energy region lower than $E_\gamma =
16$ MeV is investigated by using the $\alpha$~+~$\alpha$~+~$n$ three-body model
and the complex scaling method. The cross section exhibits two aspects in the
different two energy regions. In the low energy region up to $E_\gamma = 6$
MeV, the cross section is explained by the transition strengths into the
excited resonant states of $^9$Be, while the dipole transition into the
non-resonant continuum states of $^8$Be(2$^+$)~+~$n$ dominates the cross
section in the energy region of $6 \le E_\gamma \le 16$ MeV. Furthermore, it is
shown that the dipole strength at $E_\gamma \sim 8$ MeV is understood to be
caused by the single-neutron excitation from the $^8$Be(2$^+$)~$\otimes$~$\nu
p_{3/2}$ configuration in the ground state.


title: On nonnegatively curved hypersurfaces in hyperbolic space

abstract:
  In this paper we prove the conjecture of Alexander and Currier that states,
except for covering maps of equidistant surfaces in hyperbolic 3-space, a
complete, nonnegatively curved immersed hypersurface in hyperbolic space is
necessarily properly embedded.


title: Restrictions of free arrangements and the division theorem

abstract:
  This is a survey and research note on the modified Orlik conjecture derived
from the division theorem introduced in [2]. The division theorem is a
generalization of classical addition-deletion theorems for free arrangements.
The division theorem can be regarded as a modified converse of the Orlik's
conjecture with a combinatorial condition, i.e., an arrangement is free if the
restriction is free and the characteristic polynomial of the restriction
divides that of an arrangement. In this article we recall, summarize, pose and
re-formulate some of results and problems related to the division theorem based
on [2], and study the modified Orlik's conjecture with partial answers.


title: The Cosmological Lithium Problem Revisited

abstract:
  After a brief review of the cosmological lithium problem, we report a few
recent attempts to find theoretical solutions by our group at Texas A&M
University (Commerce & College Station). We will discuss our studies on the
theoretical description of electron screening, the possible existence of
parallel universes of dark matter, and the use of non-extensive statistics
during the Big Bang nucleosynthesis epoch. Last but not least, we discuss
possible solutions within nuclear physics realm. The impact of recent
measurements of relevant nuclear reaction cross sections for the Big Bang
nucleosynthesis based on indirect methods is also assessed. Although our
attempts may not able to explain the observed discrepancies between theory and
observations, they suggest theoretical developments that can be useful also for
stellar nucleosynthesis.


title:
FORS2 Rotating Flat Field Systematics Fixed -- Recent Exchange of FORS
  LADC Prisms Improves the Long-known Flat-fielding Problem

abstract:
  For many years the FORS2 instrument has suffered from artefacts in the flat
fields caused by surface inhomogeneities on the longitudinal atmospheric
dispersion corrector (LADC) that affected high-precision photometric and
spectroscopic measurements. Recently, the FORS LADC prisms were exchanged, and
our analysis of a large number of flat fields shows that this exchange has
resulted in a significant decrease in the level of small-scale artefacts.


title: Radio continuum detection in blue early-type weak emission line galaxies

abstract:
  The star formation rates (SFRs) in weak emission line (WEL) galaxies in a
volume-limited ($0.02 < z < 0.05$) sample of blue early-type galaxies (ETGs)
identified from SDSS, are constrained here using 1.4 GHz radio continuum
emission. The direct detection of 1.4 GHz radio continuum emission is made in 8
WEL galaxies and a median stacking is performed on 57 WEL galaxies using VLA
FIRST images. The median stacked 1.4 GHz flux density and luminosity are
estimated as 79 $\pm$ 19 $\mu$Jy and 0.20 $\pm$ 0.05 $\times$ 10$^{21}$ W
Hz$^{-1}$ respectively. The radio far-infrared correlation in 4 WEL galaxies
suggests that the radio continuum emission from WEL galaxies is most likely due
to star formation activities. The median SFR for WEL galaxies is estimated as
0.23 $\pm$ 0.06 M$_{\odot}$yr$^{-1}$, which is much less compared to SFRs ($0.5
- 50$ M$_{\odot}$yr$^{-1}$) in purely star forming blue ETGs. The SFRs in blue
ETGs are found to be correlated with their stellar velocity dispersions
($\sigma$) and decreasing gradually beyond $\sigma$ of $\sim 100$ km s$^{-1}$.
This effect is most likely linked with the growth of black hole and suppression
of star formation via AGN feedback. The color differences between SF and WEL
sub-types of blue ETGs appear to be driven to large extent by the level of
current star formation activities. In a likely scenario of an evolutionary
sequence between sub-types, the observed color distribution in blue ETGs can be
explained best in terms of fast evolution through AGN feedback.


title:
A distance constrained synaptic plasticity model of C. elegans neuronal
  network

abstract:
  Brain research has been driven by enquiry for principles of brain structure
organization and its control mechanisms. The neuronal wiring map of C. elegans,
the only complete connectome available till date, presents an incredible
opportunity to learn basic governing principles that drive structure and
function of its neuronal architecture. Despite its apparently simple nervous
system, C. elegans is known to possess complex functions. The neuronal
architecture forms an important underlying framework which specifies phenotypic
features associated to sensation, movement, conditioning and memory. In this
study, with the help of graph theoretical models, we investigated the C.
elegans neuronal network to identify network features that are critical for its
control. The 'driver neurons' are associated with important biological
functions such as reproduction, signalling processes and anatomical structural
development. We created 1D and 2D network models of C. elegans neuronal system
to probe the role of features that confer controllability and small world
nature. The simple 1D ring model is critically poised for the number of feed
forward motifs, neuronal clustering and characteristic path-length in response
to synaptic rewiring, indicating optimal rewiring. Using empirically observed
distance constraint in the neuronal network as a guiding principle, we created
a distance constrained synaptic plasticity model that simultaneously explains
small world nature, saturation of feed forward motifs as well as observed
number of driver neurons. The distance constrained model suggests optimum long
distance synaptic connections as a key feature specifying control of the
network.


title: Comparative Analysis of SN 2012dn Optical Spectra: Days -14 to +114

abstract:
  SN 2012dn is a super-Chandrasekhar mass candidate in a purportedly normal
spiral (SAcd) galaxy, and poses a challenge for theories of type Ia supernova
diversity. Here we utilize the fast and highly parameterized spectrum synthesis
tool, SYNAPPS, to estimate relative expansion velocities of species inferred
from optical spectra obtained with six facilities. As with previous studies of
normal SN Ia, we find that both unburned carbon and intermediate mass elements
are spatially coincident within the ejecta near and below 14,000 km/s. Although
the upper limit on SN 2012dn's peak luminosity is comparable to some of the
most luminous normal SN Ia, we find a progenitor mass exceeding ~1.6 Msun is
not strongly favored by leading merger models since these models do not
accurately predict spectroscopic observations of SN 2012dn and more normal
events. In addition, a comparison of light curves and host-galaxy masses for a
sample of literature and Palomar Transient Factory SN Ia reveals a diverse
distribution of SN Ia subtypes where carbon-rich material remains unburned in
some instances. Such events include SN 1991T, 1997br, and 1999aa where trace
signatures of C III at optical wavelengths are presumably detected.


title: Trace and determinant preserving maps of matrices

abstract:
  Suppose a map $\phi$ on the set of positive definite matrices satisfies
$\det(A+B)=\det(\phi(A)+\phi(B))$. Then we have $${\rm tr}(AB^{-1}) = {\rm
tr}(\phi(A){\phi(B)}^{-1}).$$ Through this viewpoint, we show that $\phi$ is of
the form $\phi(A)= M^*AM$ or $\phi(A)= M^*A^tM$ for some invertible matrix $M$
with $\det (M^*M)=1$. We also characterize the map $\phi: \mathcal{S}
\rightarrow \mathcal{S}$ preserving the determinant of convex combinations in
$\mathcal{S}$ by using similar method. Here $\mathcal{S}$ can be the set of
complex matrices, positive definite matrices, symmetric matrices, and upper
triangular matrices.


title:
Spin Hall Effect and Origins of Nonlocal Resistance in Adatom-Decorated
  Graphene

abstract:
  Recent experiments reporting unexpectedly large spin Hall effect (SHE) in
graphene decorated with adatoms have raised a fierce controversy. We apply
numerically exact Kubo and Landauer- Buttiker formulas to realistic models of
gold-decorated disordered graphene (including adatom clustering) to obtain the
spin Hall conductivity and spin Hall angle, as well as the nonlocal resistance
as a quantity accessible to experiments. Large spin Hall angles of 0.1 are
obtained at zero-temperature, but their dependence on adatom clustering differs
from the predictions of semiclassical transport theories. Furthermore, we find
multiple background contributions to the nonlocal resistance, some of which are
unrelated to SHE or any other spin-dependent origin, as well as a strong
suppression of SHE at room temperature. This motivates us to design a
multiterminal graphene geometry which suppresses these background contributions
and could, therefore, quantify the upper limit for spin current generation in
two-dimensional materials.


title:
Shapes of drums with lowest base frequency under non-isotropic perimeter
  constraints

abstract:
  We study the minimizers of the sum of the principal Dirichlet eigenvalue of
the negative Laplacian and the perimeter with respect to a general norm in the
class of Jordan domains in the plane. This is equivalent (modulo scaling) to
minimizing the said eigenvalue (or the base frequency of a drum of this shape)
subject to a hard constraint on the perimeter. We show that, for all norms, a
minimizer exists, is unique up to spatial translations and is convex but not
necessarily smooth. We give conditions on the norm that characterize the
appearance of facets and corners. We also demonstrate that near minimizers have
to be close to the optimal ones in the Hausdorff distance. Our motivation for
considering this class of variational problems comes from a study of random
walks in random environment interacting through the boundary of their support.


title: Flexible MgO barrier magnetic tunnel junctions

abstract:
  Flexible electronic devices require the integration of multiple crucial
components on soft substrates to achieve their functions. In particular, memory
devices are the fundamental component for data storage and processing in
flexible electronics. Here, we present flexible MgO barrier magnetic tunnel
junction (MTJ) devices fabricated using a transfer printing process, which
exhibit reliable and stable operation under substantial deformation of the
device substrates. In addition, the flexible MTJ devices yield significantly
enhanced tunneling magnetoresistance (TMR) of ~300 % and improved abruptness of
switching, as residual strain in the MTJ structure induced by the fabrication
process is released during the transfer process. This approach could be useful
for a wide range of flexible electronic systems that require high performance
memory components.


title: Neural Discourse Relation Recognition with Semantic Memory

abstract:
  Humans comprehend the meanings and relations of discourses heavily relying on
their semantic memory that encodes general knowledge about concepts and facts.
Inspired by this, we propose a neural recognizer for implicit discourse
relation analysis, which builds upon a semantic memory that stores knowledge in
a distributed fashion. We refer to this recognizer as SeMDER. Starting from
word embeddings of discourse arguments, SeMDER employs a shallow encoder to
generate a distributed surface representation for a discourse. A semantic
encoder with attention to the semantic memory matrix is further established
over surface representations. It is able to retrieve a deep semantic meaning
representation for the discourse from the memory. Using the surface and
semantic representations as input, SeMDER finally predicts implicit discourse
relations via a neural recognizer. Experiments on the benchmark data set show
that SeMDER benefits from the semantic memory and achieves substantial
improvements of 2.56\% on average over current state-of-the-art baselines in
terms of F1-score.


title:
Analysis of the nonlinear option pricing model under variable
  transaction costs

abstract:
  In this paper we analyze a nonlinear Black--Scholes model for option pricing
under variable transaction costs. The diffusion coefficient of the nonlinear
parabolic equation for the price $V$ is assumed to be a function of the
underlying asset price and the Gamma of the option. We show that the
generalizations of the classical Black--Scholes model can be analyzed by means
of transformation of the fully nonlinear parabolic equation into a quasilinear
parabolic equation for the second derivative of the option price. We show
existence of a classical smooth solution and prove useful bounds on the option
prices. Furthermore, we construct an effective numerical scheme for
approximation of the solution. The solutions are obtained by means of the
efficient numerical discretization scheme of the Gamma equation. Several
computational examples are presented.


title: Towards Building an RGBD-M Scanner

abstract:
  We present a portable device to capture both shape and reflectance of an
indoor scene. Consisting of a Kinect, an IR camera and several IR LEDs, our
device allows the user to acquire data in a similar way as he/she scans with a
single Kinect. Scene geometry is reconstructed by KinectFusion. To estimate
reflectance from incomplete and noisy observations, 3D vertices of the same
material are identified by our material segmentation propagation algorithm.
Then BRDF observations at these vertices are merged into a more complete and
accurate BRDF for the material. Effectiveness of our device is demonstrated by
quality results on real-world scenes.


title: Variational Neural Discourse Relation Recognizer

abstract:
  Implicit discourse relation recognition is a crucial component for automatic
discourselevel analysis and nature language understanding. Previous studies
exploit discriminative models that are built on either powerful manual features
or deep discourse representations. In this paper, instead, we explore
generative models and propose a variational neural discourse relation
recognizer. We refer to this model as VarNDRR. VarNDRR establishes a directed
probabilistic model with a latent continuous variable that generates both a
discourse and the relation between the two arguments of the discourse. In order
to perform efficient inference and learning, we introduce neural discourse
relation models to approximate the prior and posterior distributions of the
latent variable, and employ these approximated distributions to optimize a
reparameterized variational lower bound. This allows VarNDRR to be trained with
standard stochastic gradient methods. Experiments on the benchmark data set
show that VarNDRR can achieve comparable results against stateof- the-art
baselines without using any manual features.


title:
Minimal surfaces in the product of two dimensional real space forms
  endowed with a neutral metric

abstract:
  We investigate minimal surfaces in products of two-spheres ${\mathbb
S}^2_p\times {\mathbb S}^2_p$, with the neutral metric given by $(g,-g)$. Here
${\mathbb S}^2_p\subset {\mathbb R}^{p,3-p}$ , and $g$ is the induced metric on
the sphere. We compute all totally geodesic surfaces and we give a relation
between minimal surfaces and the solutions of the Gordon equations. Finally, in
some cases we give a topological classification of compact minimal surfaces.


title: Magnetic field geometry of an unusual cometary cloud Gal 110-13

abstract:
  We carried out optical polarimetry of an isolated cloud, Gal 110-13, to map
the plane-of-the-sky magnetic field geometry. The main aim of the study is to
understand the most plausible mechanism responsible for the unusual cometary
shape of the cloud in the context of its magnetic field geometry. When
unpolarized starlight passes through the intervening interstellar dust grains
that are aligned with their short axes parallel to the local magnetic field, it
gets linearly polarized. The plane-of-the-sky magnetic field component can
therefore be traced by doing polarization measurements of background stars
projected on clouds. Because the light in the optical wavelength range is most
efficiently polarized by the dust grains typically found in the outer layers of
the molecular clouds, optical polarimetry enables us to trace the magnetic
field geometry of the outer layers of the clouds. We made R-band polarization
measurements of 207 stars in the direction of Gal 110-13. The distance of Gal
110-13 was determined as $\sim450\pm80$ pc using our polarization and 2MASS
near-infrared data. The foreground interstellar contribution was removed from
the observed polarization values by observing a number of stars located in the
vicinity of Gal 110-13 which has Hipparcos parallax measurements. The
plane-of-the-sky magnetic field lines are found to be well ordered and aligned
with the elongated structure of Gal 110-13. Using structure function analysis,
we estimated the strength of the plane-of-the-sky component of the magnetic
field as $\sim25\mu$G. Based on our results and comparing them with those from
simulations, we conclude that compression by the ionization fronts from 10 Lac
is the most plausible cause of the comet-like morphology of Gal 110-13 and of
the initiation of subsequent star formation.


title: Dark Energy: The Shadowy Reflection of Dark Matter?

abstract:
  In this article, we review a series of recent theoretical results regarding a
conventional approach to the dark energy (DE) concept. This approach is
distinguished among others for its simplicity and its physical relevance. By
compromising General Relativity (GR) and Thermodynamics at cosmological scale,
we end up with a model without DE. Instead, the Universe we are proposing is
filled with a perfect fluid of self-interacting dark matter (DM), the volume
elements of which perform hydrodynamic flows. To the best of our knowledge, it
is the first time in a cosmological framework that the energy of the cosmic
fluid internal motions is also taken into account as a source of the universal
gravitational field. As we demonstrate, this form of energy may compensate for
the DE needed to compromise spatial flatness, while, depending on the
particular type of thermodynamic processes occurring in the interior of the DM
fluid (isothermal or polytropic), the Universe depicts itself as either
decelerating or accelerating (respectively). In both cases, there is no
disagreement between observations and the theoretical prediction of the distant
supernovae (SNe) Type Ia distribution. In fact, the cosmological model with
matter content in the form of a thermodynamically-involved DM fluid not only
interprets the observational data associated with the recent history of
Universe expansion, but also confronts successfully with every major
cosmological issue (such as the age and the coincidence problems). In this way,
depending on the type of thermodynamic processes in it, such a model may serve
either for a conventional DE cosmology or for a viable alternative one.


title: Interpenetrating subspaces as a funnel to extra space

abstract:
  New solution for two interpenetrating universes is found. Higher derivative
gravity acting in 6-dimensional space is the basis of the study that allows to
obtain stable solution without introducing matter of any sort. Stability of the
solution is maintained by a difference between asymptotic behavior at spacial
infinities. For an external observer such a funnel looks similar to a spherical
wormhole.


title:
On alternating sums of binomial coefficients and $q$-binomial
  coefficients

abstract:
  In this paper we shall evaluate two alternating sums of binomial coefficients
by a combinatorial argument. Moreover, by combining the same combinatorial idea
with partition theoretic techniques, we provide $q$-analogues involving the
$q$-binomial coefficients.


title:
MOJAVE XIII. Parsec-Scale AGN Jet Kinematics Analysis Based on 19 years
  of VLBA Observations at 15 GHz

abstract:
  We present 1625 new 15 GHz (2 cm) VLBA images of 295 jets associated with
active galactic nuclei (AGNs) from the MOJAVE and 2 cm VLBA surveys, spanning
observations between 1994 Aug 31 and 2013 Aug 20. For 274 AGNs with at least 5
VLBA epochs, we have analyzed the kinematics of 961 individual bright features
in their parsec-scale jets. A total of 122 of these jets have not been
previously analyzed by the MOJAVE program. In the case of 451 jet features that
had at least 10 epochs, we also examined their kinematics for possible
accelerations. At least half of the well-sampled features have non-radial
and/or accelerating trajectories, indicating that non-ballistic motion is
common in AGN jets. Since it is impossible to extrapolate any accelerations
that occurred before our monitoring period, we could only determine reliable
ejection dates for about 24% of those features that had significant proper
motions. The distribution of maximum apparent jet speeds in all 295 AGNs
measured by our program to date is peaked below 5c, with very few jets with
apparent speeds above 30c. The fastest speed in our survey is about 50c,
measured in the jet of the quasar PKS 0805-07, and is indicative of a maximum
jet Lorentz factor of about 50 in the parent population. The Fermi LAT-detected
gamma-ray AGNs in our sample have, on average, higher jet speeds than non
LAT-detected AGNs, indicating a strong correlation between pc-scale jet speed
and gamma-ray Doppler boosting factor. We have identified 11 moderate-redshift
(z<0.35) AGNs with fast apparent speeds (>10c) that are strong candidates for
future TeV gamma-ray detection. Of the five gamma-ray loud narrow-lined Seyfert
I AGNs in our sample, three show highly superluminal jet motions, while the
others have sub-luminal speeds. (abridged)


title:
Hamilton-Jacobi formalism for inflation with non-minimal derivative
  coupling

abstract:
  In inflation with nonminimal derivative coupling there is not a conformal
transformation to the Einstein frame where calculations are straightforward,
and thus in order to extract inflationary observables one needs to perform a
detailed and lengthy perturbation investigation. In this work we bypass this
problem by performing a Hamilton-Jacobi analysis, namely rewriting the
cosmological equations considering the scalar field to be the time variable. We
apply the method to two specific models, namely the power-law and the
exponential cases, and for each model we calculate various observables such as
the tensor-to-scalar ratio, and the spectral index and its running. We compare
them with 2013 and 2015 Planck data, and we show that they are in a very good
agreement with observations.


title: Grounding Recursive Aggregates: Preliminary Report

abstract:
  Problem solving in Answer Set Programming consists of two steps, a first
grounding phase, systematically replacing all variables by terms, and a second
solving phase computing the stable models of the obtained ground program. An
intricate part of both phases is the treatment of aggregates, which are popular
language constructs that allow for expressing properties over sets. In this
paper, we elaborate upon the treatment of aggregates during grounding in Gringo
series 4. Consequently, our approach is applicable to grounding based on
semi-naive database evaluation techniques. In particular, we provide a series
of algorithms detailing the treatment of recursive aggregates and illustrate
this by a running example.


title:
On equicontinuity of Sobolev classes in domains with locally connected
  boundary

abstract:
  A behavior of homeomorphisms of Orlicz classes in a closure of a domain is
investigated. It is proved that above classes are equicontinuous in the closure
of domains with some restrictions on it's boundaries provided that the
corresponding inner dilatation of order $p$ has a majorant of finite mean
oscillation at every point.


title: The coherent matching distance in 2D persistent homology

abstract:
  Comparison between multidimensional persistent Betti numbers is often based
on the multidimensional matching distance. While this metric is rather simple
to define and compute by considering a suitable family of filtering functions
associated with lines having a positive slope, it has two main drawbacks.
First, it forgets the natural link between the homological properties of
filtrations associated with lines that are close to each other. As a
consequence, part of the interesting homological information is lost. Second,
its intrinsically discontinuous definition makes it difficult to study its
properties. In this paper we introduce a new matching distance for 2D
persistent Betti numbers, called coherent matching distance and based on
matchings that change coherently with the filtrations we take into account. Its
definition is not trivial, as it must face the presence of monodromy in
multidimensional persistence, i.e. the fact that different paths in the space
parameterizing the above filtrations can induce different matchings between the
associated persistent diagrams. In our paper we prove that the coherent 2D
matching distance is well-defined and stable.


title: Uncountably many planar embeddings of unimodal inverse limit spaces

abstract:
  For point $x$ in the inverse limit space $X$ with a single unimodal bonding
map we construct, with the use of symbolic dynamics, a planar embedding such
that $x$ is accessible. It follows that there are uncountably many
non-equivalent planar embeddings of $X$.


title: Performance Evaluation of Unified Parallel C for Molecular Dynamics

abstract:
  Partitioned Global Address Space (PGAS) integrates the concepts of shared
memory programming and the control of data distribution and locality provided
by message passing into a single parallel programming model. The purpose of
allying distributed data with shared memory is to cultivate a locality-aware
shared memory paradigm. PGAS is comprised of a single shared address space,
which is partitioned among threads. Each thread has a portion of the shared
address space in local memory and therefore it can exploit data locality by
mainly doing computation on local data. Unified Parallel C (UPC) is a parallel
extension of ISO C and an implementation of the PGAS model. In this paper, we
evaluate the performance of UPC based on a real-world scenario from Molecular
Dynamics.


title: Fast M\"obius inversion in semimodular lattices and U-labelable posets

abstract:
  We consider the problem of fast zeta and M\"obius transforms in finite
posets, particularly in lattices. It has previously been shown that for a
certain family of lattices, zeta and M\"obius transforms can be computed in
$O(e)$ elementary arithmetic operations, where $e$ denotes the size of the
covering relation. We show that this family is exactly that of geometric
lattices. We also extend the algorithms so that they work in $e$ operations for
all semimodular lattices, including chains and divisor lattices. Finally, for
both transforms, we provide a more general algorithm that works in $e$
operations for all R-labelable posets and their non-graded generalization,
which we call U-labelable.


title:
On the existence of a Gysin morphism for the Blow-up of an ordinary
  singularity

abstract:
  In this paper we characterize the Blowing-up maps of ordinary singularities
for which there exists a natural Gysin morphism, i.e. a bivariant class $\theta
\in Hom_{D(Y)}(R\pi_*\mathbb Q_X, \mathbb Q_Y)$, compatible with pullback and
with restriction to the complement of the singularity.


title:
Asymptotic Expansions for Stationary Distributions of Perturbed
  Semi-Markov Processes

abstract:
  New algorithms for computing of asymptotic expansions for stationary
distributions of nonlinearly perturbed semi-Markov processes are presented. The
algorithms are based on special techniques of sequential phase space reduction,
which can be applied to processes with asymptotically coupled and uncoupled
finite phase spaces.


title:
"Varopoulos paradigm": Mackey property vs. metrizability in topological
  groups

abstract:
  The class of all locally quasi-convex (lqc) abelian groups contains all
locally convex vector spaces (lcs) considered as topological groups. Therefore
it is natural to extend classical properties of locally convex spaces to this
larger class of abelian topological groups. In the present paper we consider
the following well known property of lcs: "A metrizable locally convex space
carries its Mackey topology ". This claim cannot be extended to lqc-groups in
the natural way, as we have recently proved with other coauthors (\cite{AD},
\cite{DMPT}). We say that an abelian group $G$ satisfies the \emph{Varopoulos
paradigm} (VP) if any metrizable locally quasi-convex topology on $G$ is the
Mackey topology. Surprisingly VP - which is a topological property of the group
- is characterizes an algebraic feature, namely being of finite exponent.


title: Non metrizable topologies on Z with countable dual group

abstract:
  In this paper we give two families of non-metrizable topologies on the group
of the integers having a countable dual group which is isomorphic to a infinite
torsion subgroup of the unit circle in the complex plane. Both families are
related to $D$-sequences, which are sequences of natural numbers such that each
term divides the following. The first family consists of locally quasi-convex
group topologies. The second consists of complete topologies which are not
locally quasi-convex. In order to study the dual groups for both families we
need to make numerical considerations of independent interest.


title: A peridynamic approach to flexoelectricity

abstract:
  A flexoelectric peridynamic (PD) theory is proposed. Using the PD framework,
the formulation introduces, perhaps for the first time, a nanoscale
flexoelectric coupling that entails non-uniform strain in centrosymmetric
dielectrics. This potentially enables PD modeling of a large class of phenomena
in solid dielectrics involving cracks, discontinuities etc. wherein large
strain gradients are present and the classical electromechanical theory based
on partial differential equations do not directly apply. Derived from
Hamilton's principle, PD electromechanical equations are shown to satisfy the
global balance requirements. Linear PD constitutive equations reflect the
electromechanical coupling effect, with the mechanical force state affected by
the polarization state and the electrical force state in turn by the
displacement state. An analytical solution of the PD electromechanical
equations in the integral form is presented for the static case when a point
mechanical force and a point electric force act in a three dimensional infinite
solid dielectric. A parametric study on how the different length scales
influence the response is also undertaken.


title: Electronic properties of asymmetrically doped twisted graphene bilayers

abstract:
  Rotated graphene bilayers form an exotic class of nanomaterials with
fascinating electronic properties governed by the rotation angle theta. For
large rotation angles, the electron eigenstates are restricted to one layer and
the bilayer behaves like two decoupled graphene layer. At intermediate angles,
Dirac cones are preserved but with a lower velocity and van Hove singularities
are induced at energies where the two Dirac cones intersect. At very small
angles, eigenstates become localized in peculiar moire zones. We analyse here
the effect of an asymmetric doping for a series of commensurate rotated
bilayers on the basis of tight binding calculations of their band dispersions,
density of states, participation ratio and diffusive properties. While a small
doping level preserves the theta dependence of the rotated bilayer electronic
structure, larger doping induces a further reduction of the band velocity in
the same way of to a further reduction of the rotation angle.


title:
Optimal non-invasive measurement of Full Counting Statistics by a single
  qubit

abstract:
  The complete characterisation of the charge transport in a mesoscopic device
is provided by the Full Counting Statistics (FCS) $P_t(m)$, describing the
amount of charge $Q = me$ transmitted during the time $t$. Although numerous
systems have been theoretically characterized by their FCS, the experimental
measurement of the distribution function $P_t(m)$ or its moments $\langle Q^n
\rangle$ are rare and often plagued by strong back-action. Here, we present a
strategy for the measurement of the FCS, more specifically its characteristic
function $\chi(\lambda)$ and moments $\langle Q^n \rangle$, by a qubit with a
set of different couplings $\lambda_j$, $j = 1,\dots,k,\dots k+p$, $k = \lceil
n/2 \rceil$, $p \geq 0$, to the mesoscopic conductor. The scheme involves
multiple readings of Ramsey sequences at the different coupling strengths
$\lambda_j$ and we find the optimal distribution for these couplings
$\lambda_j$ as well as the optimal distribution $N_j$ of $N = \sum N_j$
measurements among the different couplings $\lambda_j$. We determine the
precision scaling for the moments $\langle Q^n \rangle$ with the number $N$ of
invested resources and show that the standard quantum limit can be approached
when many additional couplings $p\gg 1$ are included in the measurement scheme.


title: Nuclear $\beta^-$-decay half-lives for $fp$ and $fpg$ shell nuclei

abstract:
  In the present work we calculate the allowed $\beta^-$-decay half-lives of
nuclei with $Z = 20 -30$ and N $\leq$ 50 systematically under the framework of
the nuclear shell model. A recent study shows that some nuclei in this region
belong to the island of inversion. We perform calculation for $fp$ shell nuclei
using KB3G effective interaction. In the case of Ni, Cu, and Zn, we used JUN45
effective interaction. Theoretical results of $Q$ values, half-lives,
excitation energies, log$ft$ values, and branching fractions are discussed and
compared with the experimental data. In the Ni region, we also compared our
calculated results with recent experimental data [Z. Y. Xu {\it et al.},
\emph{Phys. Rev. Lett.} \textbf{113}, 032505, 2014]. Present results agree with
the experimental data of half-lives in comparison to QRPA.


title: On the Capacity and Performance of Generalized Spatial Modulation

abstract:
  Generalized spatial modulation (GSM) uses $N$ antenna elements but fewer
radio frequency (RF) chains ($R$) at the transmitter. Spatial modulation and
spatial multiplexing are special cases of GSM with $R=1$ and $R=N$,
respectively. In GSM, apart from conveying information bits through $R$
modulation symbols, information bits are also conveyed through the indices of
the $R$ active transmit antennas. In this paper, we derive lower and upper
bounds on the the capacity of a ($N,M,R$)-GSM MIMO system, where $M$ is the
number of receive antennas. Further, we propose a computationally efficient GSM
encoding (i.e., bits-to-signal mapping) method and a message passing based
low-complexity detection algorithm suited for large-scale GSM-MIMO systems.


title:
Frechet differentiability of molecular distribution functions I.
  $L^\infty$ analysis

abstract:
  For a grand canonical ensemble of classical point-like particles at
equilibrium in continuous space we investigate the functional relationship
between a stable and regular pair potential describing the interaction of the
particles and the corresponding molecular distribution functions. For certain
admissible perturbations of the pair potential and sufficiently small activity
we rigorously establish Frechet differentiability with respect to the supremum
norm in the image space -- both for bounded domains and in the thermodynamical
limit.


title:
Frechet differentiability of molecular distribution functions II. The
  Ursell function

abstract:
  For a grand canonical ensemble of classical point-like particles at
equilibrium in continuous space we investigate the functional relationship
between a stable and regular pair potential describing the interaction of the
particles and the thermodynamical limit of the Ursell or pair correlation
function. For certain admissible perturbations of the pair potential and
sufficiently small activity we rigorously establish Frechet differentiability
of the Ursell function in the $L^1$ norm. Furthermore, concerning the
thermodynamical limit of the pair distribution function we explicitly compute
its Fr\'echet derivative as a sum of a multiplication operator and an integral
operator.


title: Cyclotomic Yokonuma-Hecke algebras are cyclotomic quiver Hecke algebras

abstract:
  We prove that cyclotomic Yokonuma--Hecke algebras of type A are cyclotomic
quiver Hecke algebras and we give an explicit isomorphism with its inverse,
using a similar result of Brundan and Kleshchev on cyclotomic Hecke algebras.
The quiver we use is given by disjoint copies of cyclic quivers. We relate this
work to an isomorphism of Lusztig.


title: The transition density of Brownian motion killed on a bounded set

abstract:
  We study the transition density of a standard two-dimensional Brownian motion
killed when hitting a bounded Borel set $A$. We derive the asymptotic form of
the density, say $p^A_t({\bf x},{\bf y})$, for large times $t$ and for ${\bf
x}$ and ${\bf y}$ in the exterior of $A$ valid uniformly under the constraint
$|{\bf x}|\vee |{\bf y}| =O(t)$. Within the parabolic regime $|{\bf x}|\vee
|{\bf y}| = O(\sqrt t)$ in particular $p^A_t({\bf x},{\bf y})$ is shown to
behave like $4e_A({\bf x})e_A({\bf y}) (\lg t)^{-2} p_t({\bf y}-{\bf x})$ for
large $t$, where $p_t({\bf y}-{\bf x})$ is the transition kernel of the
Brownian motion (without killing) and $e_A$ is the Green function for the \lq
exterior of $A$' with a pole at infinity normalized so that $e_A({\bf x}) \sim
\lg |{\bf x}|$. We also provide fairly accurate upper and lower bounds of
$p^A_t({\bf x},{\bf y})$ for the case $|{\bf x}|\vee |{\bf y}|>t$ as well as
corresponding results for the higher dimensions.


title: Seasonal Modulations of the Underground Cosmic-Ray Muon Energy

abstract:
  The parameters of the seasonal modulations (variations) in the intensity of
muons and cosmogenic neutrons generated by them at a mean muon energy of 280
GeV have been determined in the LVD (Large Volume Detector) experiment. The
modulations of muons and neutrons are caused by a temperature effect, the
seasonal temperature and density variations of the upper atmospheric layers.
The analysis performed here leads to the conclusion that the variations in the
mean energy of the muon flux are the main source of underground cosmogenic
neutron variations, because the energy of muons is more sensitive to the
temperature effect than their intensity. The parameters of the seasonal
modulations in the mean energy of muons and the flux of cosmogenic neutrons at
the LVD depth have been determined from the data obtained over seven years of
LVD operation.


title:
Detection of the kinematic Sunyaev-Zel'dovich effect with DES Year 1 and
  SPT

abstract:
  We detect the kinematic Sunyaev-Zel'dovich (kSZ) effect with a statistical
significance of $4.2 \sigma$ by combining a cluster catalogue derived from the
first year data of the Dark Energy Survey (DES) with CMB temperature maps from
the South Pole Telescope Sunyaev-Zel'dovich (SPT-SZ) Survey. This measurement
is performed with a differential statistic that isolates the pairwise kSZ
signal, providing the first detection of the large-scale, pairwise motion of
clusters using redshifts derived from photometric data. By fitting the pairwise
kSZ signal to a theoretical template we measure the average central optical
depth of the cluster sample, $\bar{\tau}_e = (3.75 \pm 0.89)\cdot 10^{-3}$. We
compare the extracted signal to realistic simulations and find good agreement
with respect to the signal-to-noise, the constraint on $\bar{\tau}_e$, and the
corresponding gas fraction. High-precision measurements of the pairwise kSZ
signal with future data will be able to place constraints on the baryonic
physics of galaxy clusters, and could be used to probe gravity on scales $
\gtrsim 100$ Mpc.


title:
Angular Momentum Loss and Gravitational wave amplitudes for X-ray
  Binaries with a Neutron Star Component

abstract:
  Binary systems with neutron stars and double degenerate systems are crucial
objects to test current stellar evolution models and Einstein's general
relativity. In this study, we present angular momentum loss mechanism via
gravitational radiation and magnetized stellar winds for some selected systems
with a neutron star. We calculated and plotted their time scales for angular
momentum loss. Gravitational wave amplitudes of binary systems with a neutron
star components are also estimated and their detectability with a gravitational
wave detector (LISA) has been plotted.


title:
Binary Systems with a Black Hole Component as Sources of Gravitational
  Waves

abstract:
  Discovery of gravitational waves by LIGO team (Abbott et al. 2016) bring a
new era for observation of black hole systems. These new observations will
improve our knowledge on black holes and gravitational physics. In this study,
we present angular momentum loss mechanism through gravitational radiation for
selected X-ray binary systems. The angular momentum loss in X-ray binary
systems with a black hole companion due to gravitational radiation and mass
loss time-scales are estimated for each selected system. In addition, their
gravitational wave amplitudes are also estimated and their detectability with
gravitational wave detectors has been discussed.


title: Comments on the Effect of Frame Dragging

abstract:
  The effect of the frame dragging on the equation of motions, depends on the
approaches that have been considered. Accordingly, additional force terms may
appear or disappear. To understand the effect of radial and non-radial
perturbations that may exist in the case of mass distribution of spherical
shell form, modifications should be predicted to the approaches of the
components of elastic tensor $E^{\mu\nu}$ given in Bass and Pirani (1955).
Different relations between $\omega$ and $\omega'$ have been discussed.


title: Decomposing $K_{u+w}-K_u$ into cycles of various lengths

abstract:
  We prove that the complete graph with a hole $K_{u+w}-K_u$ can be decomposed
into cycles of arbitrary specified lengths provided that the obvious necessary
conditions are satisfied, each cycle has length at most $\min(u,w)$, and the
longest cycle is at most three times as long as the second longest. This
generalises existing results on decomposing the complete graph with a hole into
cycles of uniform length, and complements work on decomposing complete graphs,
complete multigraphs, and complete multipartite graphs into cycles of arbitrary
specified lengths.


title: Covariant Magnetic Connection Hypersurfaces

abstract:
  In the single fluid, nonrelativistic, ideal-Magnetohydrodynamic (MHD) plasma
description magnetic field lines play a fundamental role by defining
dynamically preserved "magnetic connections" between plasma elements. Here we
show how the concept of magnetic connection needs to be generalized in the case
of a relativistic MHD description where we require covariance under arbitrary
Lorentz transformations. This is performed by defining 2-D {\it magnetic
connection hypersurfaces} in the 4-D Minkowski space. This generalization
accounts for the loss of simultaneity between spatially separated events in
different frames and is expected to provide a powerful insight into the 4-D
geometry of electromagnetic fields when ${\bf E} \cdot {\bf B} = 0$.


title:
A characteristic 2 recurrence related to $U_3$, with a Hecke algebra
  application

abstract:
  I begin with a simple modular form motivated proof of the following: Let
$C_{n}$ in $Z/2[[t]]$ be defined by $C_{n+4} = C_{n+3} +
(t^{4}+t^{3}+t^{2}+t)C_{n} + t^{n}(t^{2}+t)$, with initial values $0$, $1$, $t$
and $t^{2}$ for $C_{0}$, $C_{1}$, $C_{2}$ and $C_{3}$. Then every $C_{4m}$ is a
sum of $C_{k}$ with $k<4m$.
  This, combined with earlier results, yields: If $K$ consists of all mod $2$
modular forms of level $\Gamma_{0}(3)$ annihilated by $U_{2}$ and $U_{3} +I$,
then $K$ has a basis adapted (in the sense of Nicolas and Serre) to the Hecke
operators $T_{7}$ and $T_{13}$; consequently the Hecke algebra attached to $K$
is a power series ring in these two operators.


title: Optical Flow with Semantic Segmentation and Localized Layers

abstract:
  Existing optical flow methods make generic, spatially homogeneous,
assumptions about the spatial structure of the flow. In reality, optical flow
varies across an image depending on object class. Simply put, different objects
move differently. Here we exploit recent advances in static semantic scene
segmentation to segment the image into objects of different types. We define
different models of image motion in these regions depending on the type of
object. For example, we model the motion on roads with homographies, vegetation
with spatially smooth flow, and independently moving objects like cars and
planes with affine motion plus deviations. We then pose the flow estimation
problem using a novel formulation of localized layers, which addresses
limitations of traditional layered models for dealing with complex scene
motion. Our semantic flow method achieves the lowest error of any published
monocular method in the KITTI-2015 flow benchmark and produces qualitatively
better flow and segmentation than recent top methods on a wide range of natural
videos.


title:
Boundedness of $\theta$-type Calder\'on--Zygmund operators and
  commutators in the generalized weighted Morrey spaces

abstract:
  In this paper, we first introduce some new Morrey type spaces containing
generalized Morrey space and weighted Morrey space as special cases. Then we
discuss the strong type and weak type estimates for a class of
Calder\'on--Zygmund type operators $T_\theta$ in these new Morrey type spaces.
Furthermore, the strong type estimate and endpoint estimate of commutators
$[b,T_{\theta}]$ formed by $b$ and $T_{\theta}$ are established. Also we study
related problems about two-weight, weak type inequalities for $T_{\theta}$ and
$[b,T_{\theta}]$ in the Morrey type spaces and give partial results.


title:
Zeta functions interpolating the convolution of the Bernoulli
  polynomials

abstract:
  We prove nonlinear relation on multiple Hurwitz-Riemann zeta functions. Using
analytic continuation of these multiple Hurwitz-Riemann zeta function, we quote
at negative integers Euler's nonlinear relation for generalized Bernoulli
polynomials and numbers.


title: A Note on Skew Characters of Symmetric Groups

abstract:
  In previous work Regev used part of the representation theory of Lie
superalgebras to compute the values of a character of the symmetric group whose
decomposition into irreducible constituents is described by semistandard
$(k,\ell)$-tableaux. In this short note we give a new proof of Regev's result
using skew characters.


title: Robust Scene Text Recognition with Automatic Rectification

abstract:
  Recognizing text in natural images is a challenging task with many unsolved
problems. Different from those in documents, words in natural images often
possess irregular shapes, which are caused by perspective distortion, curved
character placement, etc. We propose RARE (Robust text recognizer with
Automatic REctification), a recognition model that is robust to irregular text.
RARE is a specially-designed deep neural network, which consists of a Spatial
Transformer Network (STN) and a Sequence Recognition Network (SRN). In testing,
an image is firstly rectified via a predicted Thin-Plate-Spline (TPS)
transformation, into a more "readable" image for the following SRN, which
recognizes text through a sequence recognition approach. We show that the model
is able to recognize several types of irregular text, including perspective
text and curved text. RARE is end-to-end trainable, requiring only images and
associated text labels, making it convenient to train and deploy the model in
practical systems. State-of-the-art or highly-competitive performance achieved
on several benchmarks well demonstrates the effectiveness of the proposed
model.


title:
Robust Supervisors for Intersection Collision Avoidance in the Presence
  of Uncontrolled Vehicles

abstract:
  We present the design and validation of a centralized controller, called a
supervisor, for collision avoidance of multiple human-driven vehicles at a road
intersection, considering measurement errors, unmodeled dynamics, and
uncontrolled vehicles. We design the supervisor to be least restrictive, that
is, to minimize its interferences with human drivers. This performance metric
is given a precise mathematical form by splitting the design process into two
subproblems: verification problem and supervisor-design problem. The
verification problem determines whether an input signal exists that makes
controlled vehicles avoid collisions at all future times. The supervisor is
designed such that if the verification problem returns yes, it allows the
drivers' desired inputs; otherwise, it overrides controlled vehicles to prevent
collisions. As a result, we propose exact and efficient supervisors. The exact
supervisor solves the verification problem exactly but with combinatorial
complexity. In contrast, the efficient supervisor solves the verification
problem within a quantified approximation bound in polynomially bounded time
with the number of controlled vehicles. We validate the performances of both
supervisors through simulation and experimental testing.


title: Novel Laves phase superconductor NbBe2: A theoretical investigation

abstract:
  A new Laves phase superconductor NbBe2, prototype with MgCu2, having maximum
Tc ~2.6 K has been reported very recently. Based on first-principle
calculations, we systematically study the structural, elastic, mechanical,
electronic, thermal and superconducting properties of the newly reported
superconducting intermetallic compound NbBe2. Finally, we investigate the
electron-phonon coupling constant, phonon dispersion curve and density of
states which indicates that the compound under study is a weakly coupled BCS
superconductor.


title:
Hilbert C*-bimodules of finite index and approximation properties of
  C*-algebras

abstract:
  Let $A$ and $B$ be arbitrary $C^*$-algebras, we prove that the existence of a
Hilbert $A$-$B$-bimodule of finite index ensures that the WEP, QWEP, and LLP
along with other finite-dimensional approximation properties such as CBAP and
(S)OAP are shared by $A$ and $B$. For this, we first study the stability of the
WEP, QWEP and LLP under Morita equivalence of $C^*$-algebras.
  We present examples of Hilbert $A$-$B$-bimodules which are not of finite
index, while such properties are shared between $A$ and $B$. To this end, we
study twisted crossed products by amenable discrete groups.


title:
Diamond as a material for monolithically integrated optical and
  optomechanical devices

abstract:
  Diamond provides superior optical and mechanical material properties, making
it a prime candidate for the realization of integrated optomechanical circuits.
Because diamond sub- strates have matured in size, efficient nanostructuring
methods can be used to realize full-scale integrated devices. Here we review
optical and mechanical resonators fab- ricated from polycrystalline as well as
single crystalline diamond. We present relevant material properties with
respect to implementing optomechanical devices and compare them with other
material systems. We give an overview of diamond integrated optomechanical
circuits and present the optical readout mechanism and the actuation via
optical or electrostatic forces that have been implemented to date. By
combining diamond nanophotonic circuits with superconducting nanowires single
photons can be efficiently detected on such chips and we outline how future
single photon optomechanical circuits can be realized on this platform.


title: Competing Kondo Effects in Non-Kramers Doublet Systems

abstract:
  In non-Kramers Kondo systems with a quadrupolar degrees of freedom, an
ordinary magnetic Kondo effect can compete with the quadrupolar Kondo effect.
We discuss such competition keeping Pr$T_{2}$Zn$_{20}$ ($T$=Ir, Rh) and
Pr$T_{2}$Al$_{20}$ ($T$=V, Ti) in mind, where the $\Gamma_{3}$ non-Kramers
crystalline-electric-field (CEF) doublet ground state is realized in Pr$^{3+}$
ion with $(4f)^{2}$ configuration under cubic symmetry. The quadrupolar Kondo
effect can be described by the two-channel Kondo model, which leads to the
local non-Fermi-liquid (NFL) ground state, while the magnetic Kondo effect
favors the ordinary local Fermi-liquid (FL) ground state. Based on the minimal
extended two-channel Kondo model including the magnetic Kondo coupling as well,
we investigate the competition and resulting thermodynamics, and
orbital/magnetic, and single-particle excitation spectra by the Wilson's
numerical renormalization-group (NRG) method. There exists the first-order
transition between the NFL and FL ground states. In addition to these two
states, the alternative FL state accompanied by a free magnetic spin appears in
intermediate temperature range, which eventually reaches the true NFL ground
state, as a consequence of stronger competition between the magnetic and
quadrupolar Kondo effects. In this peculiar state, the magnetic susceptibility
shows a Curie-like behavior, while the orbital fluctuation exhibits the FL
behavior. Moreover, the single-particle spectra yield a more singular behavior.
Implications to the Pr 1-2-20 systems are briefly discussed.


title: Molecular MIMO: From Theory to Prototype

abstract:
  In diffusion-based molecular communication, information transport is governed
by diffusion through a fluid medium. The achievable data rates for these
channels are very low compared to the radio-based communication system, since
diffusion can be a slow process. To improve the data rate, a novel
multiple-input multiple-output (MIMO) design for molecular communication is
proposed that utilizes multiple molecular emitters at the transmitter and
multiple molecular detectors at the receiver (in RF communication these all
correspond to antennas). Using particle-based simulators, the channel's impulse
response is obtained and mathematically modeled. These models are then used to
determine inter-link interference (ILI) and inter-symbol interference (ISI). It
is assumed that when the receiver has incomplete information regarding the
system and the channel state, low complexity symbol detection methods are
preferred since the receiver is small and simple. Thus four detection
algorithms are proposed---adaptive thresholding, practical zero forcing with
channel models excluding/including the ILI and ISI, and Genie-aided zero
forcing. The proposed algorithms are evaluated extensively using numerical and
analytical evaluations.


title:
Sensitive Phase Gratings for X-ray Phase Contrast - a Simulation-based
  Comparison

abstract:
  Medical differential phase contrast x-ray imaging (DPCI) promises improved
soft-tissue contrast at lower x-ray dose. The dose strongly depends on both the
angular sensitivity and on the visibility of a grating-based Talbot-Lau
interferometer. Using a conventional x-ray tube, a high sensitivity and a high
visibility are somewhat contradicting goals: To increase sensitivity, the
grating period has to be reduced and/or the grating distance increased.
Technically, this means using a higher Talbot order (3rd or 5th one instead of
first one). This however reduces the visibility somewhat, because only a
smaller part of the tube spectrum will get used. This work proposes to relax
this problem by changing the phase grating geometry. This allows to double
sensitivity (i.e., double the Talbot order) without reducing the visibility.
One proposed grating geometry is an older binary one (75% of a period
$\pi$-shifting), but applied in a novel way. The second proposed geometry is a
novel one, requiring three height levels for polychromatic correction. The
advantage is quantified by a simulation of the resulting interference patterns.
Visibilities for the common $\pi$-shifting gratings are compared with the
proposed alternative geometries. This is done depending on photon energy and
opening ratio of the coherence grating G0. It shows that despite of doubled
sensitivity of the proposed gratings, the overall visibility might even improve
a little.


title: Quasi-periodically driven quantum systems

abstract:
  Floquet theory provides rigorous foundations for the theory of periodically
driven quantum systems. In the case of non-periodic driving, however, the
situation is not so well understood. Here, we provide a critical review of the
theoretical framework developed for quasi-periodically driven quantum systems.
Although the theoretical footing is still under development, we argue that
quasi-periodically driven quantum systems can be treated with generalizations
of Floquet theory in suitable parameter regimes. Moreover, we provide a
generalization of the Floquet-Magnus expansion and argue that quasi-periodic
driving offers a promising route for quantum simulations.


title: Tuning Chemical Potential in the Dirac Cone by Compositional Engineering

abstract:
  We report the successful formation of bulk insulating ternary topological
insulators candidate Bi2Se2Te (BST) by pulsed laser deposition technique. The
films were deposited with sequential ablation of separate Bi2Se3 (BS) and
Bi2Te3 (BT) targets. From the X-ray diffraction analysis and temperature
dependent resistivity we were able to conclude that the as grown thin films
have ordered chalcogen layers and the chemical potential in these thin films
lie in the bulk gap. To realize entirely topological transport for any device
applications it is essential to tune the chemical potential in the bulk gap of
the Dirac cone. Magnetotransport data exhibits pronounced two dimensional
weak-antilocalization behavior (WAL) at low temperatures. BS and BT thin films
do not exhibit topological transport as the chemical potential does not lie
entirely in the bulk gap. It was found that BST thin films grown with this cost
effective and simple yet elegant technique using double target can be used to
deposit quaternary TI thin films, thereby tuning the chemical potential at will
in the gap.


title: Image Captioning with Semantic Attention

abstract:
  Automatically generating a natural language description of an image has
attracted interests recently both because of its importance in practical
applications and because it connects two major artificial intelligence fields:
computer vision and natural language processing. Existing approaches are either
top-down, which start from a gist of an image and convert it into words, or
bottom-up, which come up with words describing various aspects of an image and
then combine them. In this paper, we propose a new algorithm that combines both
approaches through a model of semantic attention. Our algorithm learns to
selectively attend to semantic concept proposals and fuse them into hidden
states and outputs of recurrent neural networks. The selection and fusion form
a feedback connecting the top-down and bottom-up computation. We evaluate our
algorithm on two public benchmarks: Microsoft COCO and Flickr30K. Experimental
results show that our algorithm significantly outperforms the state-of-the-art
approaches consistently across different evaluation metrics.


title: Complex structures of dense lithium: electronic origin

abstract:
  Lithium - the lightest alkali metal - exhibits unexpected structures and
electronic behaviour at high pressures. As the heavier alkalis, Li is bcc at
ambient pressure and transforms first to fcc (at 7.5 GPa). The post-fcc
high-pressure form Li-cI16 (at 40-60 GPa) is similar to Na-cI16 and related to
more complex structures of heavy alkalis Rb-oC52 and Cs-oC84. The other high
pressure phases for Li (oC88, oC40, oC24) found at pressures up to 130 GPa are
specific the only to Li. The different route of Li high-pressure structures
correlates with its special electronic configuration containing the only 3
electrons (at 1s and 2s levels). Crystal structures for Li are analyzed within
the model of Fermi sphere - Brillouin zone interactions. Stability of post-fcc
structures for Li can be supported by Hume-Rothery arguments when new Brillouin
zone plains appear close to the Fermi level producing pseudogaps near the Fermi
level and decreasing the crystal energy. The filling of Brillouin-Jones zones
by electron states for a given structure defines the physical properties as
optical reflectivity, electrical resistivity and superconductivity. To
understand complexity of structural and physical properties of Li above 60 GPa
is necessary to assume the valence electrons band overlap with the upper core
electrons and increase the valence electron count under compression.


title:
Evidence for Some New Hyperon Resonances -- to be Checked by $K_L$ Beam
  Experiments

abstract:
  Quenched and unquenched quark models predict very different patterns for the
spectrum of the low excited hyperon states. Evidence is accumulating for the
existence of some new hyperon resonances, such as a $\Sigma^*$ of spin-parity
$J^P=1/2^-$ around 1400 MeV instead of 1620 MeV as listed in PDG, a new
$\Sigma(1540)3/2^-$ resonance, a new narrow $\Lambda(1670)3/2^-$ resonance and
a new $\Lambda(1680)3/2^+$ resonance. All these new hyperon resonances fit in
the predicted pattern of the unquenched quark models very well. It is extremely
important to check and establish the spectrum of these low excited hyperon
states by the proposed $K_L$ beam experiments at JLAB.


title: A variant of the Secretary Problem: the Best or the Worst

abstract:
  We consider a variant of the secretary problem in which the candidates state
their expected salary at the interview, which we assume is in accordance with
their qualifications. The goal is for the employer to hire the best or the
worst (cheapest), indifferent between the two cases. We focus on the complete
information variant as well as on the cases when the number of applicants is a
random variable with a uniform distribution $U[1,n]$ or with a Poisson
distribution of parameter $\lambda$. Moreover, we also study two variants of
the original problem in which we consider payoffs depending on the number of
conducted interviews.


title:
On the connectedness of the standard web of Calabi-Yau 3-folds and small
  transitions

abstract:
  We supply a detailed proof of the result by P.S. Green and T.
H$\ddot{\text{u}}$bsch that all complete intersection Calabi--Yau 3-folds in
product of projective spaces are connected through projective conifold
transitions (known as the standard web). We also introduce a subclass of small
transitions which we call primitive small transitions and study such subclass.
More precisely, given a small projective resolution $\pi : \widehat{X}
\rightarrow X$ of a Calabi--Yau 3-fold $X$, we show that if the natural closed
immersion $Def(\widehat{X}) \hookrightarrow Def(X)$ is an isomorphism then $X$
has only ODPs as singularities.


title:
Positronium energy levels at order $m \alpha^7$: Product contributions
  in the two-photon-annihilation channel

abstract:
  Ongoing improvements in the measurement of positronium transition intervals
motivate the calculation of the $O(m \alpha^7)$ corrections to these intervals.
In this work we focus on corrections to the spin-singlet parapositronium
energies involving virtual annihilation to two photons in an intermediate
state. We have evaluated all contributions to the positronium S-state energy
levels that can be written as the product of a one-loop correction on one side
of the annihilation event and another one-loop correction on the other side.
These effects contribute $\Delta E = -0.561971(25) m \alpha^7/\pi^3$ to the
parapositronium ground state energy.


title:
Twisted cohomology of configuration spaces and spaces of maximal tori
  via point-counting

abstract:
  We consider two families of algebraic varieties $Y_n$ indexed by natural
numbers $n$: the configuration space of unordered $n$-tuples of distinct points
on $\mathbb{C}$, and the space of unordered $n$-tuples of linearly independent
lines in $\mathbb{C}^n$. Let $W_n$ be any sequence of virtual
$S_n$-representations given by a character polynomial, we compute $H^i(Y_n;
W_n)$ for all $i$ and all $n$ in terms of double generating functions. One
consequence of the computation is a new recurrence phenomenon: the stable
twisted Betti numbers $\lim_{n\to\infty}\dim H^i(Y_n; W_n)$ are linearly
recurrent in $i$. Our method is to compute twisted point-counts on the
$F_q$-points of certain algebraic varieties, and then pass through the
Grothendieck-Lefschetz fixed point formula to prove results in topology. We
also generalize a result of Church-Ellenberg-Farb about the configuration
spaces of the affine line to those of a general smooth variety.


title:
Critical shear rate and torque stability condition for a particle
  resting on a surface in a fluid flow

abstract:
  We advance a quantitative description of the critical shear rate
$\dot{\gamma_c}$ needed to dislodge a spherical particle resting on a surface
with a model asperity in laminar and turbulent fluid flows. We have built a
cone-plane experimental apparatus which enables measurement of $\dot{\gamma_c}$
over a wide range of particle Reynolds number $Re_p$ from $10^{-3}$ to $1.5
\times 10^3$. The condition to dislodge the particle is found to be consistent
with the torque balance condition, which { yields a lower $\dot{\gamma_c}$
compared with} force balance because of the torque component due to drag about
the particle center. The data for $Re_p < 0.5$ is in good agreement with
analytical calculations of the drag and lift coefficients in the $Re_p
\rightarrow 0$ limit. For higher $Re_p$, where analytical results are
unavailable, the hydrodynamic coefficients are found to approach a constant for
$Re_p > 1000$. We show that a linear combination of the hydrodynamic
coefficients found in the viscous and inertial limits can describe the observed
$\dot{\gamma_c}$ as a function of the particle and fluid properties.


title:
Lepton mass and mixing in a Neutrino Mass Model based on $S_4$ flavor
  symmetry

abstract:
  We study a neutrino mass model based on $S_4$ flavor symmetry which
accommodates lepton mass, mixing with non-zero $\theta_{13}$ and CP violation
phase. The spontaneous symmetry breaking in the model is imposed to obtain the
realistic neutrino mass and mixing pattern at the tree- level with
renormalizable interactions. Indeed, the neutrinos get small masses from one
$SU(2)_L$ doubplet and two $SU(2)_L$ singlets in which one being in
$\underline{2}$ and the two others in $\underline{3}$ under $S_4$ with both the
breakings $S_{4}\rightarrow S_3$ and $S_{4}\rightarrow Z_3$ are taken place in
charged lepton sector and $S_4\rightarrow \mathcal{K}$ in neutrino sector. The
model also gives a remarkable prediction of Dirac CP violation
$\delta_{CP}=\frac{\pi}{2}$ or $-\frac{\pi}{2}$ in the both normal and inverted
spectrum which is still missing in the neutrino mixing matrix. The relation
between lepton mixing angles is also represented.


title: Some new ideas in nonparametric estimation

abstract:
  In the framework of an abstract statistical model we discuss how to use the
solution of one estimation problem ({\it Problem A}) in order to construct an
estimator in another, completely different, {\it Problem B}. As a solution of
{\it Problem A} we understand a data-driven selection from a given family of
estimators $\mathbf{A}(\mH)=\big\{\widehat{A}_\mh, \mh\in\mH\big\}$ and
establishing for the selected estimator so-called oracle inequality.
%parameterized by some se t$\mH$. If $\hat{\mh}\in\mH$ is the selected
parameter and $\mathbf{B}(\mH)=\big\{\widehat{B}_\mh, \mh\in\mH\big\}$ is an
estimator's collection built in {\it Problem B} we suggest to use the estimator
$\widehat{B}_{\hat{\mh}}$. We present very general selection rule led to
selector $\hat{\mh}$ and find conditions under which the estimator
$\widehat{B}_{\hat{\mh}}$ is reasonable. Our approach is illustrated by several
examples related to adaptive estimation.


title:
Risk Assessment of Multi-timescale Cascading Outages based on Markovian
  Tree Search

abstract:
  In the risk assessment of cascading outages, the rationality of simulation
and efficiency of computation are both of great significance. To overcome the
drawback of sampling-based methods that huge computation resources are required
and the shortcoming of initial contingency selection practices that the
dependencies in sequences of outages are omitted, this paper proposes a novel
risk assessment approach by searching on Markovian Tree. The Markovian tree
model is reformulated from the quasi-dynamic multi-timescale simulation model
proposed recently to ensure reasonable modeling and simulation of cascading
outages. Then a tree search scheme is established to avoid duplicated
simulations on same cascade paths, significantly saving computation time. To
accelerate the convergence of risk assessment, a risk estimation index is
proposed to guide the search for states with major contributions to the risk,
and the risk assessment is realized based on the risk estimation index with a
forward tree search and backward update algorithm. The effectiveness of the
proposed method is illustrated on a 4-node power system, and its convergence
profile as well as efficiency is demonstrated on the RTS-96 test system.


title:
Uniform value for some nonexpansive optimal control problems with
  general evaluations

abstract:
  We study the long-run properties of optimal control problems in continuous
time, where the running cost of a control problem is evaluated by a probability
measure over R_+. Li, Quincampoix and Renault [DCDS-A, 2016] introduced an
asymptotic regularity condition for a sequence of probability measures to study
the limit properties of the value functions with respect to the evaluation. In
the particular case of t-horizon Ces\`aro mean or rho-discounted Abel mean,
this condition implies that the horizon t tends to infinity or the discount
factor rho tends to zero. For the control system defined on a compact domain
and satisfying some nonexpansive condition, Li, Quincampoix and Renault
[DCDS-A, 2016] proved the existence of general limit value, i.e. the value
function uniform converges as the evaluation becomes more and more regular.
Within the same context, we prove the existence of general uniform value, i.e.
for any epsilon>0, there is an optimal control that guarantees the general
limit value up to epsilon for all control problems where the cost is evaluated
by sufficiently regular probability measures.


title:
Magnetic field and wind of Kappa Ceti: towards the planetary
  habitability of the young Sun when life arose on Earth

abstract:
  We report magnetic field measurements for Kappa1~Cet, a proxy of the young
Sun when life arose on Earth. We carry out an analysis of the magnetic
properties determined from spectropolarimetric observations and reconstruct its
large-scale surface magnetic field to derive the magnetic environment, stellar
winds and particle flux permeating the interplanetary medium around Kappa1~Cet.
Our results show a closer magnetosphere and mass-loss rate of Mdot = 9.7 x
10^{-13} Msol/yr, i.e., a factor 50 times larger than the current solar wind
mass-loss rate, resulting in a larger interaction via space weather
disturbances between the stellar wind and a hypothetical young-Earth analogue,
potentially affecting the planet's habitability. Interaction of the wind from
the young Sun with the planetary ancient magnetic field may have affected the
young Earth and its life conditions


title:
Multimedia Channel Allocation in Cognitive Radio Networks using FDM-FDMA
  and OFDM-FDMA

abstract:
  In conventional wireless systems, unless a contiguous frequency band with
width at least equal to the required bandwidth is obtained, multimedia
communication can not be effected with the desired Quality of Service. We
propose here a novel channel allocation technique to overcome this limitation
in a Cognitive Radio Network which is based on utilizing several non-contiguous
channels, each of width smaller than the required bandwidth, but whose sum
equals at least the required bandwidth. We present algorithms for channel
sensing, channel reservation and channel deallocation along with transmission
and reception protocols with two different implementations based on $FDM-FDMA$
and $OFDM-FDMA$ techniques. Simulation results for both these implementations
show that the proposed technique outperforms the existing first-fit and
best-fit~\cite{b109, b110} allocation techniques in terms of the average number
of attempts needed for acquiring the necessary number of channels for all
traffic situations ranging from light to extremely heavy traffic. Further, the
proposed technique can allocate the required numbers of channels in less than
one second with $FDM-FDMA$ ($4.5$ second with $OFDM-FDMA$) even for $96\%$
traffic load, while the first-fit and best-fit techniques fail to allocate any
channel in such situations.


title: On the Stanley depth of a special class of Borel type ideals

abstract:
  We give sharp bounds for the Stanley depth of a special class of ideals of
Borel type.


title: Bratteli--Vershik models and graph covering models

abstract:
  Based on our previous graph covering method, we introduce weighted graph
covering models and flexible graph covering models that are almost equivalent
to the well-known Bratteli--Vershik models. These models play important roles
in showing that every invertible dynamical system on compact metrizable
zero-dimensional space admits a non-trivial Bratteli--Vershik model and a basic
set. We can also obtain an analogue of Krieger's lemma for compact metrizable
zero-dimensional systems. The flexible graph covering models enable us to
consider "stationary" graph covering models, by which some portion of the
substitution subshifts can be expressed. As an application, we show a way of
constructing some class of transitive substitution subshifts.


title: Measurement, interpretation and information

abstract:
  During many years since the birth of quantum mechanics, instrumentalist
interpretations prevailed: the meaning of the theory was expressed in terms of
measurements results. But in the last decades, several attempts to interpret it
from a realist viewpoint have been proposed. Among them, modal interpretations
supply a realist non-collapse account, according to which the system always has
definite properties and the quantum state represents possibilities, not
actualities. However, the traditional modal interpretations faced some
conceptual problems when addressing imperfect measurements. The
modal-Hamiltonian interpretation, on the contrary, proved to be able to supply
an adequate account of the measurement problem, both in its ideal and its
non-ideal versions. Moreover, in the non-ideal case, it gives a precise
criterion to distinguish between reliable and non-reliable measurements.
Nevertheless, that criterion depends on the particular state of the measured
system, and this might be considered as a shortcoming of the proposal. In fact,
one could ask for a criterion of reliability that does not depend on the
features of what is measured but only on the properties of the measurement
device. The aim of this article is precisely to supply such a criterion: we
will adopt an informational perspective for this purpose.


title: The classification of Zamolodchikov periodic quivers

abstract:
  Zamolodchikov periodicity is a property of certain discrete dynamical systems
associated with quivers. It has been shown by Keller to hold for quivers
obtained as products of two Dynkin diagrams. We prove that the quivers
exhibiting Zamolodchikov periodicity are in bijection with pairs of commuting
Cartan matrices of finite type. Such pairs were classified by Stembridge in his
study of $W$-graphs. The classification includes products of Dynkin diagrams
along with four other infinite families, and eight exceptional cases. We
provide a proof of Zamolodchikov periodicity for all four remaining infinite
families, and verify the exceptional cases using a computer program.


title: Quantum Phase Transition in the Finite Jaynes-Cummings Lattice Systems

abstract:
  Phase transitions are commonly held to occur only in the thermodynamical
limit of large number of system components. Here we exemplify at the hand of
the exactly solvable Jaynes-Cummings (JC) model and its generalization to
finite JC-lattices that finite component systems of coupled spins and bosons
may exhibit quantum phase transitions (QPT). For the JC-model we find a
continuous symmetry-breaking QPT, a photonic condensate with a macroscopic
occupation as the ground state and a Goldstone mode as a low-energy excitation.
For the two site JC-lattice we show analytically that it undergoes a
Mott-insulator to superfluid QPT. We identify as the underlying principle of
the emergence of finite size QPT the combination of increasing atomic energy
and increasing interaction strength between the atom and the bosonic mode which
allows for the exploration of an increasingly large portion of the infinite
dimensional Hilbert space of the bosonic mode. This suggests that finite system
phase transitions will be present in a broad range of physical systems.


title:
Prony's method in several variables: symbolic solutions by universal
  interpolation

abstract:
  The paper considers a symbolic approach to Prony's method in several
variables and its close connection to multivariate polynomial interpolation.
Based on the concept of universal interpolation that can be seen as a weak
generalization of univariate Chebychev systems, we can give estimates on the
minimal number of evaluations needed to solve Prony's problem.


title:
On the Petras algorithm for verified integration of piecewise analytic
  functions

abstract:
  We consider the algorithm for verified integration of piecewise analytic
functions given by Petras. The analysis of the algorithm contained in Patras'
paper is limited to a narrow class of functions and gives upper bounds only. We
present an estimation of the complexity (measured by a number of evaluations of
an integrand) of the algorithm, both upper and lower bounds, for a wider class
of functions. We show examples with complexity $\Theta(|\ln\eps|/\eps^{p-1})$,
for any $p >1$, where $\eps$ is the desired accuracy of the computed integral.


title:
The Jones polynomial and functions of positive type on the oriented
  Jones-Thompson groups $\vec{F}$ and $\vec{T}$

abstract:
  The pioneering work of Jones and Kauffman unveiled a fruitful relationship
between statistical mechanics and knot theory. Recently, Jones introduced two
subgroups $\vec{F}$ and $\vec{T}$ of the Thompson groups $F$ and $T$,
respectively, together with a procedure that associates an oriented link
diagram to any element of these subgroups. Moreover, several specializations of
some well-known polynomial link invariants can be seen as functions of positive
type on the Thompson groups or the Jones-Thompson subgroups. One important
example is provided by suitable evaluations of the Jones polynomial, which are
thus associated with certain unitary representations of the groups $\vec{F}$
and $\vec{T}$. Within this framework, we discuss an alternative approach that
relies on some partition function interpretation of the Jones polynomial, and
also exhibit more examples associated with other link invariants, notably the
two-variable Kauffman polynomial and the HOMFLY polynomial. In the unoriented
case, extending our previous results, we also show by similar methods that
certain evaluations of the Tutte polynomial and of the Kauffman bracket,
suitably renormalized, yield functions of positive type on $T$.

categories: math.GR math-ph math.CO math.GT math.MP math.OA