title: Coherent transport over an explosive percolation lattice

abstract:
  We investigate coherent transport over a finite square lattice in which the
growth of bond percolation clusters are subjected to an Achlioptas type
selection process, i.e., whether a bond will be placed or not depends on the
sizes of clusters it may potentially connect. Different than the standard
percolation where the growth of discrete clusters are completely random,
clusters in this case grow in correlation with one another. We show that
certain values of correlation strength, if chosen in a way to suppress the
growth of the largest cluster which actually results in an explosive growth
later on, may lead to more efficient transports than in the case of standard
percolation, satisfied that certain fraction of total possible bonds are
present in the lattice. In this case transport efficiency increases as a power
function of bond fraction in the vicinity of where effective transport begins.
It turns out that the higher correlation strengths may also reduce the
efficiency as well. We also compare our results with those of the incoherent
transport and examine the average spreading of eigenstates for different bond
fractions. In this way, we demonstrate that structural differences of discrete
clusters due to different correlations result in different localization
properties.


title:
Incompleteness of pressure metric on Teichm\"uller space of a bordered
  surface

abstract:
  We prove that the pressure metric on the Teichm\"uller space of a bordered
surface is incomplete and its partial completion can be given by the moduli
space of metric graphs for a fat graph associated to the same bordered surface
equipped with pressure metric. As a corollary, we show that the pressure metric
is not a constant multiple of the Weil-Petersson metric which is different from
the closed surface case.


title: Determining Health Utilities through Data Mining of Social Media

abstract:
  'Health utilities' measure patient preferences for perfect health compared to
specific unhealthy states, such as asthma, a fractured hip, or colon cancer.
When integrated over time, these estimations are called quality adjusted life
years (QALYs). Until now, characterizing health utilities (HUs) required
detailed patient interviews or written surveys. While reliable and specific,
this data remained costly due to efforts to locate, enlist and coordinate
participants. Thus the scope, context and temporality of diseases examined has
remained limited.
  Now that more than a billion people use social media, we propose a novel
strategy: use natural language processing to analyze public online
conversations for signals of the severity of medical conditions and correlate
these to known HUs using machine learning. In this work, we filter a dataset
that originally contained 2 billion tweets for relevant content on 60 diseases.
Using this data, our algorithm successfully distinguished mild from severe
diseases, which had previously been categorized only by traditional techniques.
This represents progress towards two related applications: first, predicting
HUs where such information is nonexistent; and second, (where rich HU data
already exists) estimating temporal or geographic patterns of disease severity
through data mining.


title:
Server Location Verification and Server Location Pinning: Augmenting TLS
  Authentication

abstract:
  We introduce the first known mechanism providing realtime server location
verification. Its uses include enhancing server authentication (e.g.,
augmenting TLS) by enabling browsers to automatically interpret server location
information. We describe the design of this new measurement-based technique,
Server Location Verification (SLV), and evaluate it using PlanetLab. We explain
how SLV is compatible with the increasing trends of geographically distributed
content dissemination over the Internet, without causing any new
interoperability conflicts. Additionally, we introduce the notion of
(verifiable) "server location pinning" within TLS (conceptually similar to
certificate pinning) to support SLV, and evaluate their combined impact using a
server-authentication evaluation framework. The results affirm the addition of
new security benefits to the existing SSL/TLS-based authentication mechanisms.
We implement SLV through a location verification service, the simplest version
of which requires no server-side changes. We also implement a simple browser
extension that interacts seamlessly with the verification infrastructure to
obtain realtime server location-verification results.


title: Heavy pentaquark states and a novel color structure

abstract:
  Encouraged by the observation of the pentaquark states $P^+_c(4380)$ and
$P^+_c(4450)$, we propose a novel color flux-tube structure, pentagonal state,
for pentaquark states within the framework of color flux-tube mode involving a
five-body confinement potential. Numerical results on the heavy pentaquark
states indicate that the states with three color flux-tube structures, diquark,
octet and pentagonal structures, have the close masses, which can therefore be
called QCD isomers analogous to isomers in Chemistry. The pentagonal structure
has lowest energy. The state $P^+_c(4380)$ can be described as the compact
pentaquark state $uudc\bar{c}$ with the pentagonal structure and
$J^P=\frac{3}{2}^-$ in the color flux-tube model. The state $P^+_c(4450)$ can
not be accommodated into the color flux-tube model. The heavy pentaquark states
$uudc\bar{b}$, $uudb\bar{c}$ and $uudb\bar{b}$ are predicted in the color
flux-tube model. The five-body confinement potential basing on the color
flux-tube picture as a collective degree of freedom is a dynamical mechanism in
the formation of the compact heavy pentaquark states.


title: Enhanced group classification of Benjamin-Bona-Mahony-Burgers equations

abstract:
  A class of the Benjamin-Bona-Mahony-Burgers (BBMB) equations with
time-dependent coefficients is investigated with the Lie symmetry point of
view. The set of admissible transformations of the class is described
exhaustively. The complete group classification is performed using the method
of mapping between classes. The derived Lie symmetries are used to reduce BBMB
equations to ordinary differential equations. Some exact solutions are
constructed.


title:
Textures and shapes in nematic elastomers under the action of dopant
  concentration gradients

abstract:
  We explore a novel strategy of patterning nematic elastomers that does not
require inscribing the texture directly. It is based on varying the dopant
concentration that, beside shifting the phase transition point, affects the
nematic director field via coupling between the gradients of concentration and
nematic order parameter. Rotation of the director around a point dopant source
causes topological modification manifesting itself in a change of the number of
defects. A variety of shapes, dependent on the dopant distribution, are
obtained by anisotropic deformation following the nematic--isotropic
transition.


title:
Capturing Lombardi Flow in Orthogonal Drawings by Minimizing the Number
  of Segments

abstract:
  Inspired by the artwork of Mark Lombardi, we study the problem of
constructing orthogonal drawings where a small number of horizontal and
vertical line segments covers all vertices. We study two problems on orthogonal
drawings of planar graphs, one that minimizes the total number of line segments
and another that minimizes the number of line segments that cover all the
vertices. We show that the first problem can be solved by a non-trivial
modification of the flow-network orthogonal bend-minimization algorithm of
Tamassia, resulting in a polynomial-time algorithm. We show that the second
problem is NP-hard even for planar graphs with maximum degree 3. Given this
result, we then address this second optimization problem for trees and
series-parallel graphs with maximum degree 3. For both graph classes, we give
polynomial-time algorithms for upward orthogonal drawings with the minimum
number of segments covering the vertices.


title:
Davydov splitting and excitonic resonance effects in Raman spectra of
  few-Layer MoSe2

abstract:
  Raman spectra of few-layer MoSe2 were measured with 8 excitation energies.
New peaks that appear only near resonance with various exciton states are
analyzed, and the modes are assigned. The resonance profiles of the Raman peaks
reflect the joint density of states for optical transitions, but the symmetry
of the exciton wave functions leads to selective enhancement of the A1g mode at
the A exciton energy and the shear mode at the C exciton energy. We also find
Davydov splitting of intra-layer A1g, E1g, and A2u modes due to inter-layer
interaction for some excitation energies near resonances. Furthermore, by
fitting the spectral positions of inter-layer shear and breathing modes and
Davydov splitting of intra-layer modes to a linear chain model, we extract the
strength of the inter-layer interaction. We find that the
second-nearest-neighbor inter-layer interaction amounts to about 30% of the
nearest-neighbor interaction for both in-plane and out-of-plane vibrations.


title: Energy Balance of a Bose Gas in Curved Spacetime

abstract:
  We derive a general energy balance equation for a self-interacting boson gas
at vanishing temperature in a curved spacetime. This represents a first step
towards a formulation of the first law of thermodynamics for a scalar field in
general relativity. By using a $3+1$ foliation of the spacetime and performing
a Madelung transformation, we rewrite the Klein-Gordon-Maxwell equations in a
general curved spacetime into its hydrodynamic version where we can identify
the different energy contributions of the system and separate them into
kinetic, quantum, electromagnetic, and gravitational.


title:
A Quantum Monte Carlo Study of mono(benzene)TM and bis(benzene)TM
  Systems

abstract:
  We present a study of mono(benzene)TM and bis(benzene)TM systems, where
TM={Mo,W}. We calculate the binding energies by quantum Monte Carlo (QMC)
approaches and compare the results with other methods and available
experiments. The orbitals for the determinantal part of each trial wave
function were generated from several types of DFT in order to optimize for
fixed-node errors. We estimate and compare the size of the fixed-node errors
for both the Mo and W systems with regard to the electron density and degree of
localization in these systems. For the W systems we provide benchmarking
results of the binding energies, given that experimental data is not available.


title: Quantum Gauge Freedom in Very Special Relativity

abstract:
  We demonstrate Yokoyama gaugeon formalism for the Abelian one-form gauge
(Maxwell) as well as for Abelian two-form gauge theory in the very special
relativity (VSR) framework. In VSR scenario, the extended action due to
introduction of gaugeon fields also possesses form invariance under quantum
gauge transformations. It is observed that the gaugeon field together with
gauge field naturally acquire mass, which is different from the conventional
Higgs mechanism. The quantum gauge transformation implements a shift in gauge
parameter. Further, we analyse the BRST symmetric gaugeon formalism in VSR
which embeds only one subsidiary condition rather than two.


title:
Quantitative measure for the spin-charge separation in two dimensional
  Hubbard model

abstract:
  We introduce a qauantitative measure of spin-charge separation, $\zeta (t)$
which is based on the difference between the fluctuations with respect to
background of the spin and charge profiles at any time t and is suitable for
studying the non-equilibrium dynamics of excitations in strongly correlated
systems. This quantity is not only a direct measure of the spin-charge
separation in strongly correlated systems, but its long time behaviour can
further serve as a possible order parameter for the interaction induced (Mott)
insulating state. Within the nu- merically exact diagonzalization we calculate
this quantity for the two dimensional Hubbard model away from Half filling. Our
quantitative measure in chain, ladder and two-dimensional geometries gives the
same order of magnitude for the quantity of spin-charge separation. Furthermore
from the temporal behaviour of $\zeta (t)$ a threshold time can be identified
that provides clues onto the breakdown of underlying Mott insulating phase.


title: Patterns of conjunctive forks

abstract:
  Three events in a probability space form a conjunctive fork if they satisfy
specific constraints on conditional independence and covariances. Patterns of
conjunctive forks within collections of events are characterized by means of
systems of linear equations that have positive solutions. This characterization
allows patterns of conjunctive forks to be recognized in polynomial time.
Relations to previous work on causal betweenness and on patterns of conditional
independence among random variables are discussed.


title: Classifying conformally invariant loop measures

abstract:
  We formulate a classification conjecture for conformally invariant families
of measures on simple loops that builds on a conjecture of Kontsevich and
Suhov. The main example in this class of objects was constructed by Werner as
boundaries of Brownian loops. We present partial results towards the algebraic
step of this classification.
  Solving this conjecture would provide another argument explaining why planar
statistical mechanics models with conformally invariant scaling limits
naturally occur in a one-parameter family, together with the dynamical
characterization of SLE via Schramm's central limit argument, and with the
conformal field theory point of view and its central charge parameter.


title: Poset Pattern-Avoidance Problems Posed by Yakoubov

abstract:
  Extending the work of Yakoubov, we enumerate the linear extensions of comb
posets that avoid certain length-$3$ patterns. We resolve many of Yakoubov's
open problems and prove both of the conjectures from her paper.


title: On the optical fields propagation in realistic environments

abstract:
  Evolution formulas of the density operator, the photon number distribution,
and the Wigner function are derived for the problem on the optical fields
propagation in realistic environments. The method of deriving these formulas is
novel and the results are very useful for quantum optics and quantum
statistics.


title:
Luminosity determination in pp collisions at $\sqrt{s}$ = 8 TeV using
  the ATLAS detector at the LHC

abstract:
  The luminosity determination for the ATLAS detector at the LHC during pp
collisions at $\sqrt{s}$ = 8 TeV in 2012 is presented. The evaluation of the
luminosity scale is performed using several luminometers, and comparisons
between these luminosity detectors are made to assess the accuracy, consistency
and long-term stability of the results. A luminosity uncertainty of dL/L = +/-
1.9% is obtained for the 22.7 fb$^{-1}$ of pp collision data delivered to ATLAS
at $\sqrt{s}$ = 8 TeV in 2012.


title: Higson Compactification and Dimension Raising

abstract:
  Let $X$ and $Y$ be proper metric spaces. We show that a coarsely $n$-to-$1$
map $f\colon X\to Y$ induces an $n$-to-$1$ map of Higson coronas. This
viewpoint turns out to be successful in showing that the classical dimension
raising theorems hold in large scale; that is, if $f \colon X\to Y$ is a
coarsely $n$-to-$1$ map between proper metric spaces $X$ and $Y$ then $asdim(Y)
\leq asdim(X) + n -1$. Furthermore we introduce coarsely open coarsely
$n$-to-$1$ maps, which include the natural quotient maps via a finite group
action, and prove that they preserve the asymptotic dimension.


title:
Electron spin-flip correlations due to nuclear dynamics in driven GaAs
  double dots

abstract:
  We present experimental data and associated theory for correlations in a
series of experiments involving repeated Landau-Zener sweeps through the
crossing point of a singlet state and a spin aligned triplet state in a GaAs
double quantum dot containing two conduction electrons, which are loaded in the
singlet state before each sweep, and the final spin is recorded after each
sweep. The experiments reported here measure correlations on time scales from 4
$\mu$s to 2 ms. When the magnetic field is aligned in a direction such that
spin-orbit coupling cannot cause spin flips, the correlation spectrum has
prominent peaks centered at zero frequency and at the differences of the Larmor
frequencies of the nuclei, on top of a frequency-independent background. When
the spin-orbit field is relevant, there are additional peaks, centered at the
frequencies of the individual species. A theoretical model which neglects the
effects of high-frequency charge noise correctly predicts the positions of the
observed peaks, and gives a reasonably accurate prediction of the size of the
frequency-independent background, but gives peak areas that are larger than the
observed areas by a factor of two or more. The observed peak widths are roughly
consistent with predictions based on nuclear dephasing times of the order of 60
$\mu$s. However, there is extra weight at the lowest observed frequencies,
which suggests the existence of residual correlations on the scale of 2 ms. We
speculate on the source of these discrepancies.


title:
Standard Coupling Unification in SO(10), Hybrid Seesaw Neutrino Mass and
  Leptogenesis, Dark Matter, and Proton Lifetime Predictions

abstract:
  We discuss gauge coupling unification of the SM descending directly from
SO(10) while providing solutions to the three outstanding problems: neutrino
masses, dark matter, and the baryon asymmetry of the universe. Conservation of
matter parity as gauged discrete symmetry in the model calls for high-scale
spontaneous symmetry breaking through ${126}_H$ Higgs representation. This
naturally leads to the hybrid seesaw formula for neutrino masses mediated by
heavy scalar triplet and right-handed neutrinos. The seesaw formula predicts
two distinct patterns of RH$\nu$ masses, one hierarchical and another not so
hierarchical (or compact) when fitted with the neutrino oscillation data.
Predictions of the baryon asymmetry via leptogenesis are investigated through
the decays of both the patterns of RH$\nu$ masses. A complete flavor analysis
has been carried out to compute CP-asymmetries and solutions to Boltzmann
equations have been utilized to predict the baryon asymmetry. The additional
contribution to vertex correction mediated by the heavy left-handed triplet
scalar is noted to contribute as dominantly as other Feynman diagrams. We have
found successful predictions of the baryon asymmetry for both the patterns of
RH$\nu$ masses. The triplet fermionic dark matter at the TeV scale carrying
even matter parity is naturally embedded into the non-standard fermionic
representation ${45}_F$ of SO(10). In addition to the triplet scalar and the
triplet fermion, the model needs a nonstandard color octet fermion of mass
$\sim 10^7$ GeV to achieve precision gauge coupling unification. Threshold
corrections due to superheavy components of ${126}_H$ and other representations
are estimated and found to be substantial. It is noted that the proton life
time predicted by the model is accessible to the ongoing and planned
experiments over a wide range of parameter space.


title: Mock characters and the Kronecker symbol

abstract:
  We introduce and study a family of functions we call the "mock characters".
These functions satisfy a number of interesting properties, and of all
completely multiplicative arithmetic functions seem to come as close as
possible to being Dirichlet characters. Along the way we prove a few new
results concerning the behavior of the Kronecker symbol.


title: The Spectral Energy Distributions of Fermi Blazars

abstract:
  (Abridged) In this paper, multi-wavelength data are compiled for a sample of
1425 Fermi blazars to calculate their spectral energy distributions (SEDs). A
parabolic function, $\log(\nu F_{\nu}) = P_1(\log\nu - P_2)^2 + P_3,$ is used
for SED fitting. Synchrotron peak frequency ($\log \nu_p$), spectral curvature
($P_1$), peak flux ($\nu_{\rm p}F_{\rm \nu_p}$), and integrated flux ($\nu
F_{\nu}$) are successfully obtained for 1392 blazars (461 flat spectrum radio
quasars-FSRQs, 620 BL Lacs-BLs and 311 blazars of uncertain type-BCUs, 999
sources have known redshifts). Monochromatic luminosity at radio 1.4 GHz,
optical R band, X-ray at 1 keV and $\gamma$-ray at 1 GeV, peak luminosity,
integrated luminosity and effective spectral indexes of radio to optical
($\alpha_{\rm RO}$), and optical to X-ray ($\alpha_{\rm OX}$) are calculated.
The "Bayesian classification" is employed to log$\nu_{\rm p}$ in the rest frame
for 999 blazars with available redshift and the results show that 3 components
are enough to fit the $\log\nu_{\rm p}$ distribution, there is no ultra high
peaked subclass. Based on the 3 components, the subclasses of blazars using the
acronyms of Abdo et al. (2010a) are classified, and some mutual correlations
are also studied. Conclusions are finally drawn as follows: (1) SEDs are
successfully obtained for 1392 blazars. The fitted peak frequencies are
compared with common sources from samples available (Sambruna et al. 1996,
Nieppola et al. 2006, 2008, Abdo et al. 2010a). (2) Blazars are classified as
low synchrotron peak sources (LSPs) if $\log\nu_{\rm p}$(Hz) $\leq 14.0$,
intermediate synchrotron peak sources (ISPs) if $14.0 < \log\nu_{\rm p}$(Hz)
$\leq 15.3$, and high synchrotron peak sources (HSPs) if $\log\nu_{\rm p}$(Hz)
$> 15.3$. (3) $\gamma$-ray emissions are strongly correlated with radio
emissions. (...)


title: Novel Special Function Obtained from a Delay Differential Equation

abstract:
  This paper deals with the series solution of a linear delay differential
equation (DDE) y'(x) = ay(x)+ by(q x), 0<q<1 with proportional delay. We
discuss the convergence of this novel series. We establish the relation between
the special function given in terms of this series and its differentials. We
also discuss the bounds on this function and present the relation with other
special functions viz. Kummer's functions, generalized Laguerre polynomials,
incomplete gamma function, beta function and regularized incomplete beta
function. Further, we discuss various properties and contiguous relations for
the novel special function. Finally, we generalize this series by solving
fractional order DDE and a system of DDE.


title: A Conflict-Free Replicated JSON Datatype

abstract:
  Many applications model their data in a general-purpose storage format such
as JSON. This data structure is modified by the application as a result of user
input. Such modifications are well understood if performed sequentially on a
single copy of the data, but if the data is replicated and modified
concurrently on multiple devices, it is unclear what the semantics should be.
In this paper we present an algorithm and formal semantics for a JSON data
structure that automatically resolves concurrent modifications such that no
updates are lost, and such that all replicas converge towards the same state (a
conflict-free replicated datatype or CRDT). It supports arbitrarily nested list
and map types, which can be modified by insertion, deletion and assignment. The
algorithm performs all merging client-side and does not depend on ordering
guarantees from the network, making it suitable for deployment on mobile
devices with poor network connectivity, in peer-to-peer networks, and in
messaging systems with end-to-end encryption.


title:
Reed-Solomon and Concatenated Codes with Applications in Space
  Communication

abstract:
  In this paper we provide a detailed description of Reed-Solomon (RS) codes,
the most important algorithms for decoding them, and their use in concatenated
coding systems for space applications. In the current literature there is
scattered information regarding the bit-level implementation of such codes for
either space systems or any other type of application. Consequently, we start
with a general overview of the channel coding systems used in space
communications and then we focus in the finest details. We first present a
detailed description of the required algebra of RS codes with detailed
examples. Next, the steps of the encoding and decoding algorithms are described
with detail and again with additional examples. Next, we focus on a
particularly important class of concatenated encoders/decoders namely the
Consultative Committee for Space Data Systems (CCSDS) concatenated coding
system that uses RS as the outer code, and a convolutional inner code. Finally,
we perform a thorough performance evaluation of the presented codes under the
AWGN channel model.


title: Icosahedral Tilings Revisited

abstract:
  Icosahedral tilings, although non-periodic, are known to be characterized by
their configurations of some finite size. This characterization has also been
expressed in terms of a simple alternation condition. We provide an alternative
proof - shorter and arguably easier - of this fact. We moreover conjecture that
the alternation condition can be weakened.


title: 100 years of Weyl's law

abstract:
  We discuss the asymptotics of the eigenvalue counting function for partial
differential operators and related expressions paying the most attention to the
sharp asymptotics. We consider Weyl asymptotics, asymptotics with Weyl
principal parts and correction terms and asymptotics with non-Weyl principal
parts. Semiclassical microlocal analysis, propagation of singularities and
related dynamics play crucial role.
  We start from the general theory, then consider Schr\"odinger and Dirac
operators with the strong magnetic field and, finally, applications to the
asymptotics of the ground state energy of heavy atoms and molecules with or
without a magnetic field.


title:
Enhancement of super-exchange pairing in the periodically-driven Hubbard
  model

abstract:
  Recent experiments performed on cuprates and alkali-doped fullerides have
demonstated that key signatures of superconductivity can be induced above the
equilibrium critical temperature by optical modulation. These observations in
disparate physical systems may indicate a general underlying mechanism.
Multiple theories have been proposed, but these either consider specific
features, such as competing instabilities, or focus on conventional BCS-type
superconductivity. Here we show that periodic driving can enhance electron
pairing in strongly-correlated systems. Focusing on the strongly-repulsive
limit of the doped Hubbard model, we investigate in-gap, spatially
inhomogeneous, on-site modulations. We demonstrate that such modulations
substantially reduce electronic hopping, while simultaneously sustaining
super-exchange interactions and pair hopping via driving-induced virtual charge
excitations. We calculate real-time dynamics for the one-dimensional case,
starting from zero and finite temperature initial states, and show that
enhanced singlet--pair correlations emerge quickly and robustly in the
out-of-equilibrium many-body state. Our results reveal a fundamental pairing
mechanism that might underpin optically induced superconductivity in some
strongly correlated quantum materials.


title: Brun expansions of stepped surfaces

abstract:
  Dual maps have been introduced as a generalization to higher dimensions of
word substitutions and free group morphisms. In this paper, we study the action
of these dual maps on particular discrete planes and surfaces -- namely stepped
planes and stepped surfaces. We show that dual maps can be seen as
discretizations of toral automorphisms. We then provide a connection between
stepped planes and the Brun multi-dimensional continued fraction algorithm,
based on a desubstitution process defined on local geometric configurations of
stepped planes. By extending this connection to stepped surfaces, we obtain an
effective characterization of stepped planes (more exactly, stepped
quasi-planes) among stepped surfaces.


title: Periodic solutions for nonlocal fractional equations

abstract:
  The purpose of this paper is to study the existence of (weak) periodic
solutions for nonlocal fractional equations with periodic boundary conditions.
These equations have a variational structure and, by applying a critical point
result coming out from a classical Pucci-Serrin theorem in addition to a local
minimum result for differentiable functionals due to Ricceri, we are able to
prove the existence of at least two periodic solutions for the treated
problems. As far as we know, all these results are new.


title:
Hopf Bifurcation in an Oscillatory-Excitatory Reaction-Diffusion Model
  with Spatial heterogeneity

abstract:
  We focus on the qualitative analysis of a reaction-diffusion with spatial
heterogeneity. The system is a generalization of the well known FitzHugh-Nagumo
system in which the excitability parameter is space dependent. This
heterogeneity allows to exhibit concomitant stationary and oscillatory
phenomena. We prove the existence of an Hopf bifurcation and determine an
equation of the center-manifold in which the solution asymptotically evolves.
Numerical simulations illustrate the phenomenon.


title:
Energy Management for Demand Responsive Users with Shared Energy Storage
  System

abstract:
  This paper investigates the energy management problem for multiple
self-interested users, each with renewable energy generation as well as both
the fixed and controllable loads, that all share a common energy storage system
(ESS). The self-interested users are willing to sell/buy energy to/from the
shared ESS if they can achieve lower energy costs compared to the case of no
energy trading while preserving their privacy e.g. sharing only limited
information with a central controller. Under this setup, we propose an
iterative algorithm by which the central controller coordinates the
charging/discharging values to/from the shared ESS by all users such that their
individual energy costs reduce at the same time. For performance benchmark, the
case of cooperative users that all belong to the same entity is considered,
where they share all the required information with the central controller so as
to minimize their total energy cost. Finally, the effectiveness of our proposed
algorithm in simultaneously reducing users' energy costs is shown via
simulations based on realistic system data of California, US.


title:
Inner derivations and weak-2-local derivations on the C$^*$-algebra
  $C_0(L,A)$

abstract:
  Let $L$ be a locally compact Hausdorff space. Suppose $A$ is a C$^*$-algebra
with the property that every weak-2-local derivation on $A$ is a
{\rm(}linear{\rm)} derivation. We prove that every weak-2-local derivation on
$C_0(L,A)$ is a {\rm(}linear{\rm)} derivation. Among the consequences we
establish that if $B$ is an atomic von Neumann algebra or on a compact
C$^*$-algebra, then every weak-2-local derivation on $C_0(L,B)$ is a linear
derivation. We further show that, for a general von Neumann algebra $M$, every
2-local derivation on $C_0(L,M)$ is a linear derivation. We also prove several
results representing derivations on $C_0(L,B(H))$ and on $C_0(L,K(H))$ as inner
derivations determined by multipliers.


title:
Entanglement entropy scaling in solid-state spin arrays via capacitance
  measurements

abstract:
  Solid-state spin arrays are being engineered in varied systems, including
gated coupled quantum dots and interacting dopants in semiconductor structures.
Beyond quantum computation, these arrays are useful integrated analog
simulators for many-body models. As entanglement between individual spins is
extremely short ranged in these models, one has to measure the entanglement
entropy of a block in order to truly verify their many-body entangled nature.
Remarkably, the characteristic scaling of entanglement entropy, predicted by
conformal field theory, has never been measured. Here we show that with as few
as two replicas of a spin array, and capacitive double-dot singlet-triplet
measurements on neighboring spin pairs, the above scaling of the entanglement
entropy can be verified. This opens up the controlled simulation of quantum
field theories, as we exemplify with uniform chains and Kondo-type impurity
models, in engineered solid-state systems. Our procedure remains effective even
in the presence of typical imperfections of realistic quantum devices and can
be used for thermometry, and to bound entanglement and discord in mixed
many-body states.

categories: cond-mat.str-el cond-mat.mes-hall cond-mat.stat-mech quant-ph


title: Dimensions of an overlapping generalization of Bara\'nski carpets

abstract:
  We determine the Hausdorff, packing and box-counting dimension of a family of
self-affine sets generalizing Bara\'nski carpets. More specifically, we fix a
Bara\'nski system and allow both vertical and horizontal random translations,
while preserving the rows and columns structure. The alignment kept in the
construction allows us to give expressions for these fractal dimensions outside
of a small set of exceptional translations. Such formulas will coincide with
those for the non-overlapping case, and thus provide examples where the
box-counting and Hausdorff dimension do not necessarily agree. These results
rely on M. Hochman's recent work on the dimensions of self-similar sets and
measures, and can be seen as an extension of J. Fraser and P. Shmerkin results
for Bedford-McMullen carpets with columns overlapping.


title:
Fourth order wave equation in Bhabha-Madhavarao spin-$\frac{3}{2}$
  theory

abstract:
  Within the framework of the Bhabha-Madhavarao formalism, a consistent
approach to the derivation of a system of the fourth order wave equations for
the description of a spin-$\frac{3}{2}$ particle is suggested. For this purpose
an additional algebraic object, the so-called $q$-commutator ($q$ is a
primitive fourth root of unity) and a new set of matrices $\eta_{\mu}$, instead
of the original matrices $\beta_{\mu}$ of the Bhabha-Madhavarao algebra, are
introduced. It is shown that in terms of the $\eta_{\mu}$ matrices we have
succeeded in reducing a procedure of the construction of fourth root of the
fourth order wave operator to a few simple algebraic transformations and to
some operation of the passage to the limit $z \rightarrow q$, where $z$ is some
(complex) deformation parameter entering into the definition of the
$\eta$-matrices. In addition, a set of the matrices ${\cal P}_{1/2}$ and ${\cal
P}_{3/2}^{(\pm)}(q)$ possessing the properties of projectors is introduced.
These operators project the matrices $\eta_{\mu}$ onto the spins 1/2- and
3/2-sectors in the theory under consideration. A corresponding generalization
of the obtained results to the case of the interaction with an external
electromagnetic field introduced through the minimal coupling scheme is carried
out. The application to the problem of construction of the path integral
representation in parasuperspace for the propagator of a massive
spin-$\frac{3}{2}$ particle in a background gauge field within the
Bhabha-Madhavarao approach is discussed.


title:
Detection and optical imaging of induced convection under the action of
  static gradient magnetic field in a non-conducting diamagnetic fluid

abstract:
  The report elaborates for the first time visual observations of induced
convections in a non-conducting diamagnetic fluid under the action of static
gradient magnetic field in the absence of thermal gradients and the techniques
employed to observe and record them. Suspension of Deionized (DI) and double
distilled water and Lycopodium pollen grains was used as the fluid in a test
tube. Permanent magnets having field strength of 0.12T each were used to
provide the static gradient magnetic field. The suspension filled test tube was
kept in a room temperature water bath. The convections were visually observed
and recorded using travelling microscope attached with a web camera. Various
geometrical configurations of magnets in the vicinity of test tube provided
different types of magnetic gradient shapes. These gradients were responsible
for the occurrence of different types of orientations in the convective flows
in the test tube. Convections were observed over a range of fluid volumes from
0.2ml-10ml. The experimentally observed results provide proof of concept that
irrespective of the weak interactions of diamagnetic fluids with magnetic
fields, these effects can be easily observed and recorded with the use of low
tech laboratory equipments.


title:
Recurrent Fully Convolutional Neural Networks for Multi-slice MRI
  Cardiac Segmentation

abstract:
  In cardiac magnetic resonance imaging, fully-automatic segmentation of the
heart enables precise structural and functional measurements to be taken, e.g.
from short-axis MR images of the left-ventricle. In this work we propose a
recurrent fully-convolutional network (RFCN) that learns image representations
from the full stack of 2D slices and has the ability to leverage inter-slice
spatial dependences through internal memory units. RFCN combines anatomical
detection and segmentation into a single architecture that is trained
end-to-end thus significantly reducing computational time, simplifying the
segmentation pipeline, and potentially enabling real-time applications. We
report on an investigation of RFCN using two datasets, including the publicly
available MICCAI 2009 Challenge dataset. Comparisons have been carried out
between fully convolutional networks and deep restricted Boltzmann machines,
including a recurrent version that leverages inter-slice spatial correlation.
Our studies suggest that RFCN produces state-of-the-art results and can
substantially improve the delineation of contours near the apex of the heart.


title: Constructing real rational knots by gluing

abstract:
  We show that the problem of constructing a real rational knot of a reasonably
low degree can be reduced to an algebraic problem involving the pure braid
group: expressing an associated element of the pure braid group in terms of the
standard generators of the pure braid group. We also predict the existence of a
real rational knot in a degree that is expressed in terms of the edge number of
its polygonal representation.


title:
Topological transport of sound mediated by spin-redirection geometric
  phase

abstract:
  When a dynamic system undergoes a cyclic evolution, a geometric phase that
depends only on the path traversed in parameter space can arise in addition to
the normal dynamical phase. These geometric phases have profound impacts in
both quantum and classical physics. In addition to the geometric phase
associated with band structures in reciprocal space that has led to the
discovery of topological insulators, the spin-redirection geometric phase
induced by the $SO$(3) rotation of states in real space can also give rise to
intriguing phenomena such as the photonic analog of the spin Hall effect. By
exploiting the orbital angular momentum of sound vortices, we theoretically and
experimentally demonstrate the spin-redirection geometric phase effects in
airborne sound, which is a scalar wave without spin. We show that these
effects, associated with the helical transport of sound, can be used to control
the flow of sound. This finding opens new possibilities for the manipulation of
scalar wave propagation by exploiting spin-redirection geometric phases.


title: Finite group actions on moduli spaces of vector bundles

abstract:
  We study actions of finite groups on moduli spaces of stable holomorphic
vector bundles and relate the fixed-point sets of those actions to
representation varieties of certain orbifold fundamental groups.


title:
Pseudo-orbit approach to trajectories of resonances in quantum graphs
  with general vertex coupling: Fermi rule and high-energy asymptotics

abstract:
  The aim of the paper is to investigate resonances in quantum graphs with a
general self-adjoint coupling in the vertices and their trajectories with
respect to varying edge lengths. We derive formulae determining the Taylor
expansion of the resonance pole position up to the second order which
represent, in particular, a counterpart to the Fermi rule derived recently by
Lee and Zworski for graphs with the standard coupling. Furthermore, we discuss
the asymptotic behavior of the resonances in the high-energy regime in the
situation where the leads are attached through $\delta$ or $\delta_\mathrm{s}'$
conditions, and we prove that in the case of $\delta_\mathrm{s}'$ coupling the
resonances approach to the real axis with the increasing real parts as
$\mathcal{O}\big((\mathrm{Re\,}k)^{-2}\big)$.


title: Manifolds of Differentiable Densities

abstract:
  We develop a family of infinite-dimensional (non-parametric) manifolds of
probability measures. The latter are defined on underlying Banach spaces, and
have densities of class $C_b^k$ with respect to appropriate reference measures.
The case $k=\infty$, in which the manifolds are modelled on Fr\'{e}chet spaces,
is included. The manifolds admit the Fisher-Rao metric and, unusually for the
non-parametric setting, Amari's $\alpha$-covariant derivatives for all
$\alpha\in R$. By construction, they are $C^\infty$-embedded submanifolds of
particular manifolds of finite measures. The statistical manifolds are dually
($\alpha=\pm 1$) flat, and admit mixture and exponential representations as
charts. Their curvatures with respect to the $\alpha$-covariant derivatives are
derived. The likelihood function associated with a finite sample is a
continuous function on each of the manifolds, and the $\alpha$-divergences are
of class $C^\infty$.

categories: math.PR cs.IT math.DG math.FA math.IT math.ST stat.TH


title:
Galaxy Cluster Pressure Profiles as Determined by Sunyaev Zel'dovich
  Effect Observations with MUSTANG and Bolocam II: Joint Analysis of Fourteen
  Clusters

abstract:
  We present pressure profiles of galaxy clusters determined from high
resolution Sunyaev-Zel'dovich (SZ) effect observations of fourteen clusters,
which span the redshift range $ 0.25 < z < 0.89$. The procedure simultaneously
fits spherical cluster models to MUSTANG and Bolocam data. In this analysis, we
adopt the generalized NFW parameterization of pressure profiles to produce our
models. Our constraints on ensemble-average pressure profile parameters, in
this study $\gamma$, $C_{500}$, and $P_0$, are consistent with those in
previous studies, but for individual clusters we find discrepancies with the
X-ray derived pressure profiles from the ACCEPT2 database. We investigate
potential sources of these discrepancies, especially cluster geometry, electron
temperature of the intracluster medium, and substructure. We find that the
ensemble mean profile for all clusters in our sample is described by the
parameters: $[\gamma,C_{500},P_0] = [0.3_{-0.1}^{+0.1}, 1.3_{-0.1}^{+0.1},
8.6_{-2.4}^{+2.4}]$, for cool core clusters: $[\gamma,C_{500},P_0] =
[0.6_{-0.1}^{+0.1}, 0.9_{-0.1}^{+0.1}, 3.6_{-1.5}^{+1.5}]$, and for disturbed
clusters: $[\gamma,C_{500},P_0] = [0.0_{-0.0}^{+0.1},
1.5_{-0.2}^{+0.1},13.8_{-1.6}^{+1.6}]$. Four of the fourteen clusters have
clear substructure in our SZ observations, while an additional two clusters
exhibit potential substructure.


title:
Beyond a Gaussian Denoiser: Residual Learning of Deep CNN for Image
  Denoising

abstract:
  Discriminative model learning for image denoising has been recently
attracting considerable attentions due to its favorable denoising performance.
In this paper, we take one step forward by investigating the construction of
feed-forward denoising convolutional neural networks (DnCNNs) to embrace the
progress in very deep architecture, learning algorithm, and regularization
method into image denoising. Specifically, residual learning and batch
normalization are utilized to speed up the training process as well as boost
the denoising performance. Different from the existing discriminative denoising
models which usually train a specific model for additive white Gaussian noise
(AWGN) at a certain noise level, our DnCNN model is able to handle Gaussian
denoising with unknown noise level (i.e., blind Gaussian denoising). With the
residual learning strategy, DnCNN implicitly removes the latent clean image in
the hidden layers. This property motivates us to train a single DnCNN model to
tackle with several general image denoising tasks such as Gaussian denoising,
single image super-resolution and JPEG image deblocking. Our extensive
experiments demonstrate that our DnCNN model can not only exhibit high
effectiveness in several general image denoising tasks, but also be efficiently
implemented by benefiting from GPU computing.


title: Search for doubly-heavy dibaryons in a quark model

abstract:
  We study the stability of hexaquark systems containing two heavy quarks and
four light quarks within a simple quark model. No bound or metastable state is
found. The reason stems on a delicate interplay between chromoelectric and
chromomagnetic effects. Our calculation provides also information about
anticharmed pentaquarks that are seemingly unbound in simple quark models.


title: SGDR: Stochastic Gradient Descent with Warm Restarts

abstract:
  Restart techniques are common in gradient-free optimization to deal with
multimodal functions. Partial warm restarts are also gaining popularity in
gradient-based optimization to improve the rate of convergence in accelerated
gradient schemes to deal with ill-conditioned functions. In this paper, we
propose a simple warm restart technique for stochastic gradient descent to
improve its anytime performance when training deep neural networks. We
empirically study its performance on the CIFAR-10 and CIFAR-100 datasets, where
we demonstrate new state-of-the-art results at 3.14% and 16.21%, respectively.
We also demonstrate its advantages on a dataset of EEG recordings and on a
downsampled version of the ImageNet dataset. Our source code is available at
https://github.com/loshchil/SGDR


title:
Performance prediction of finite-difference solvers for different
  computer architectures

abstract:
  The life-cycle of a partial differential equation (PDE) solver is often
characterized by three development phases: the development of a stable
numerical discretization, development of a correct (verified) implementation,
and the optimization of the implementation for different computer
architectures. Often it is only after significant time and effort has been
invested that the performance bottlenecks of a PDE solver are fully understood,
and the precise details varies between different computer architectures. One
way to mitigate this issue is to establish a reliable performance model that
allows a numerical analyst to make reliable predictions of how well a numerical
method would perform on a given computer architecture, before embarking upon
potentially long and expensive implementation and optimization phases. The
availability of a reliable performance model also saves developer effort as it
both informs the developer on what kind of optimisations are beneficial, and
when the maximum expected performance has been reached and optimisation work
should stop. We show how discretization of a wave equation can be theoretically
studied to understand the performance limitations of the method on modern
computer architectures. We focus on the roofline model, now broadly used in the
high-performance computing community, which considers the achievable
performance in terms of the peak memory bandwidth and peak floating point
performance of a computer with respect to algorithmic choices. A first
principles analysis of operational intensity for key time-stepping
finite-difference algorithms is presented. With this information available at
the time of algorithm design, the expected performance on target computer
systems can be used as a driver for algorithm design.


title: Property bubble in Hong Kong: A predicted decade-long slump (2016-2025)

abstract:
  Between 2003 and 2015 the prices of apartments in Hong Kong (adjusted for
inflation) increased by a factor of 3.8. This is much higher than in the United
States prior to the so-called subprime crisis of 2007. The analysis of this
speculative episode confirms the mechanism and regularities already highlighted
by the present authors in similar episodes in other countries. Based on these
regularities, it is possible to predict the price trajectory over the time
interval 2016-2025. It suggests that, unless appropriate relief is provided by
the mainland, Hong Kong will experience a decade-long slump. Possible
implications for its relations with Beijing are discussed at the end of the
paper.


title:
Classification of certain inductive limit actions of compact groups on
  AF algebras

abstract:
  Let $A=\underrightarrow{\lim}{A_n}$ be an AF algebra, $G$ be a compact group.
We consider inductive limit actions of the form
$\alpha=\underrightarrow{\lim}{\alpha_n}$, where $\alpha_n\colon
G\curvearrowright A_n$ is an action on the finite dimensional C*-algebra $A_n$
which fixes each matrix summand. If each $\alpha_n$ is inner, such actions are
classified by equivariant K-theory by Handelman and Rossmann. However, if the
actions $\alpha_n$ are not inner, we show that such actions are not
classifiable by equivariant K-theory. We give a complete classification of such
actions using twisted equivariant K-theory.


title:
A Penalized Crouzeix-Raviart Element Method for Second Order Elliptic
  Eigenvalue Problems

abstract:
  In this paper we propose a penalized Crouzeix-Raviart element method for
eigenvalue problems of second order elliptic operators. The key idea is to add
a penalty term to tune the local approximation property and the global
continuity property of the discrete eigenfunctions. The feature of this method
is that by adjusting the penalty parameter, the resulted discrete eigenvalues
can be in a state of "chaos", and consequently a large portion of them can be
reliable and approximate the exact ones with high accuracy. Furthermore, we
design an algorithm to select such a quasi-optimal penalty parameter. Finally,
we provide numerical tests to demonstrate the performance of the proposed
method.


title: Efficient and Accurate Robustness Estimation for Large Complex Networks

abstract:
  Robustness estimation is critical for the design and maintenance of resilient
networks, one of the global challenges of the 21st century. Existing studies
exploit network metrics to generate attack strategies, which simulate
intentional attacks in a network, and compute a metric-induced robustness
estimation. While some metrics are easy to compute, e.g. degree centrality,
other, more accurate, metrics require considerable computation efforts, e.g.
betweennes centrality. We propose a new algorithm for estimating the robustness
of a network in sub-quadratic time, i.e., significantly faster than betweenness
centrality. Experiments on real-world networks and random networks show that
our algorithm estimates the robustness of networks close to or even better than
betweenness centrality, while being orders of magnitudes faster. Our work
contributes towards scalable, yet accurate methods for robustness estimation of
large complex networks.


title: Centralized coded caching schemes: A hypergraph theoretical approach

abstract:
  The centralized coded caching scheme is a technique proposed by Maddah-Ali
and Niesen as a solution to reduce the network burden in peak times in a
wireless system. Later Yan et al. reformulated the problem as designing a
corresponding placement delivery array, and proposed two new schemes from this
perspective. These schemes above significantly reduce the transmission rate
$R$, compared with the uncoded caching scheme. However, to implement the new
schemes, each file should be cut into $F$ pieces, where $F$ increases
exponentially with the number of users $K$. Such constraint is obviously
infeasible in the practical setting, especially when $K$ is large. Thus it is
desirable to design caching schemes with constant rate $R$ (independent of $K$)
as well as small $F$.
  In this paper we view the centralized coded caching problem in a hypergraph
perspective and show that designing a feasible placement delivery array is
equivalent to constructing a linear and (6, 3)-free 3-uniform 3-partite
hypergraph. Several new results and constructions arise from our novel point of
view. First, by using the famous (6, 3)-theorem in extremal combinatorics, we
show that constant rate caching schemes with $F$ growing linearly with $K$ do
not exist. Second, we present two infinite classes of centralized coded caching
schemes, which include the schemes of Ali-Niesen and Yan et al. as special
cases, respectively. Moreover, our constructions show that constant rate
caching schemes with $F$ growing sub-exponentially with $K$ do exist.


title:
Machine Learning-augmented Predictive Modeling of Turbulent Separated
  Flows over Airfoils

abstract:
  A modeling paradigm is developed to augment predictive models of turbulence
by effectively utilizing limited data generated from physical experiments. The
key components of our approach involve inverse modeling to infer the spatial
distribution of model discrepancies, and, machine learning to reconstruct
discrepancy information from a large number of inverse problems into corrective
model forms. We apply the methodology to turbulent flows over airfoils
involving flow separation. Model augmentations are developed for the Spalart
Allmaras (SA) model using adjoint-based full field inference on experimentally
measured lift coefficient data. When these model forms are reconstructed using
neural networks (NN) and embedded within a standard solver, we show that much
improved predictions in lift can be obtained for geometries and flow conditions
that were not used to train the model. The NN-augmented SA model also predicts
surface pressures extremely well. Portability of this approach is demonstrated
by confirming that predictive improvements are preserved when the augmentation
is embedded in a different commercial finite-element solver. The broader vision
is that by incorporating data that can reveal the form of the innate model
discrepancy, the applicability of data-driven turbulence models can be extended
to more general flows.


title:
BNP-Seq: Bayesian Nonparametric Differential Expression Analysis of
  Sequencing Count Data

abstract:
  We perform differential expression analysis of high-throughput sequencing
count data under a Bayesian nonparametric framework, removing sophisticated
ad-hoc pre-processing steps commonly required in existing algorithms. We
propose to use the gamma (beta) negative binomial process, which takes into
account different sequencing depths using sample-specific negative binomial
probability (dispersion) parameters, to detect differentially expressed genes
by comparing the posterior distributions of gene-specific negative binomial
dispersion (probability) parameters. These model parameters are inferred by
borrowing statistical strength across both the genes and samples. Extensive
experiments on both simulated and real-world RNA sequencing count data show
that the proposed differential expression analysis algorithms clearly
outperform previously proposed ones in terms of the areas under both the
receiver operating characteristic and precision-recall curves.


title:
Hawking radiation of Dirac monopoles from the global monopole black hole
  with quantum gravity effects

abstract:
  In this paper we study the quantum tunneling of Dirac magnetic monopoles from
the global monopole black hole under quantum gravity effects. We start from the
modified Maxwell's equations and the Generalized Uncertainty Relation (GUP), to
recover the GUP corrected temperature for the global monopole black hole by
solving the modified Dirac equation via Hamilton-Jacobi method. Furthermore, we
also include the quantum corrections beyond the semiclassical approximation, in
particular, first we find the logarithmic corrections of GUP corrected entropy
and finally we calculate the GUP corrected specific heat capacity. It is argued
that the GUP effects may prevent a black hole from complete evaporation and
leave remnants.


title: Identifying parameter regions for multistationarity

abstract:
  Mathematical modelling has become an established tool for studying the
dynamics of biological systems. Current applications range from building models
that reproduce quantitative data to identifying systems with predefined
qualitative features, such as switching behaviour, bistability or oscillations.
Mathematically, the latter question amounts to identifying parameter values
associated with a given qualitative feature.
  We introduce a procedure to partition the parameter space of a parameterized
system of ordinary differential equations into regions for which the system has
a unique or multiple equilibria. The procedure is based on the computation of
the Brouwer degree, and it creates a multivariate polynomial with parameter
depending coefficients. The signs of the coefficients determine parameter
regions with and without multistationarity. A particular strength of the
procedure is the avoidance of numerical analysis and parameter sampling.
  The procedure consists of a number of steps. Each of these steps might be
addressed algorithmically using various computer programs and available
software, or manually. We demonstrate our procedure on several models of gene
transcription and cell signalling, and show that in many cases we obtain a
complete partitioning of the parameter space with respect to multistationarity.


title:
Well-posedness of the Kadomtsev-Petviashvili hierarchy, Mulase
  factorization, and Fr\"olicher Lie groups

abstract:
  We recall the notions of Fr\"olicher and diffeological spaces and we build
regular Fr\"olicher Lie groups and Lie algebras of formal pseudo-differential
operators in one independent variable. Combining these constructions with a
smooth version of the Mulase factorization of infinite dimensional groups based
on formal pseudo-differential operators, we present two proofs of the
well-posedness of the Cauchy problem for the Kadomtsev-Petviashvili (KP)
hierarchy in a smooth category. We also generalize these results to a KP
hierarchy modelled on formal pseudo-differential operators with coefficients
which are series in formal parameters, describe a rigorous derivation of the
Hamiltonian interpretation of the KP hierarchy, and discuss how solutions
depending on formal parameters can lead to sequences of functions converging to
a class of solutions of the standard KP-I equation.


title:
An Analysis of Lemmatization on Topic Models of Morphologically Rich
  Language

abstract:
  Topic models are typically represented by top-$m$ word lists for human
interpretation. The corpus is often pre-processed with lemmatization (or
stemming) so that those representations are not undermined by a proliferation
of words with similar meanings, but there is little public work on the effects
of that pre-processing. Recent work studied the effect of stemming on topic
models of English texts and found no supporting evidence for the practice. We
study the effect of lemmatization on topic models of Russian Wikipedia
articles, finding in one configuration that it significantly improves
interpretability according to a word intrusion metric. We conclude that
lemmatization may benefit topic models on morphologically rich languages, but
that further investigation is needed.


title: Lie derivations on the algebras of locally measurable operators

abstract:
  We prove that every Lie derivation on a solid $\star-$subalgebras of locally
measurable operators it is equal to a sum of the associative derivation and the
center-valued trace.


title:
Simulations of Viscous Accretion Flow around Black Holes in
  Two-Dimensional Cylindrical Geometry

abstract:
  We simulate shock-free and shocked viscous accretion flow onto a black hole
in a two dimensional cylindrical geometry, where initial conditions were chosen
from analytical solutions. The simulation code used the Lagrangian Total
Variation Diminishing (LTVD) and remap routine, which enabled us to attain high
accuracy in capturing shocks and to handle the angular momentum distribution
correctly. Inviscid shock-free accretion disk solution produced a thick disk
structure, while the viscous shock-free solution attained a Bondi-like
structure, but in either case, no jet activity nor any QPO-like activity
developed. The steady state shocked solution in the inviscid, as well as, in
the viscous regime, matched theoretical predictions well. However, increasing
viscosity renders the accretion shock unstable. Large amplitude shock
oscillation is accompanied by intermittent, transient inner multiple shocks.
Such oscillation of the inner part of disk is interpreted as the source of QPO
in hard X-rays observed in micro-quasars. Strong shock oscillation induces
strong episodic jet emission. The jets also showed existence of shocks, which
are produced as one shell hits the preceding one. The periodicity of jets and
shock oscillation were similar. The jets for higher viscosity parameter are
evidently stronger and faster.


title:
Spin-orbit coupling mediated tunable electron heat capacity of quantum
  wells

abstract:
  The heat capacity of conduction electrons obtained from the Sommerfeld
expansion is shown to be tunable via the Rashba and Dresselhaus spin-orbit
coupling parameters. Using an AlInSb/InSb/AlInSb as a representative
heterostructure with alterable well and asymmetric barrier regions, the heat
capacity is found to be higher for the spin-down electrons and suffers a
reduction for wider wells. A further lowering is obtained through the
application of an uniaxial strain. Finally, we suggest a method to determine
the spin lifetimes for spins relaxing via the D'yakonov-Perel' mechanism from
experimental estimates of thermodynamic potentials such as the Helmholtz free
energy and the heat capacity.


title: Cycles and Intractability in a Large Class of Aggregation Rules

abstract:
  We introduce the $(j,k)$-Kemeny rule -- a generalization of Kemeny's voting
rule that aggregates $j$-chotomous weak orders into a $k$-chotomous weak order.
Special cases of $(j,k)$-Kemeny include approval voting, the mean rule and
Borda mean rule, as well as the Borda count and plurality voting. Why, then, is
the winner problem computationally tractable for each of these other rules, but
intractable for Kemeny? We show that intractability of winner determination for
the $(j,k)$-Kemeny rule first appears at the $j=3$, $k=3$ level. The proof
rests on a reduction of max cut to a related problem on weighted tournaments,
and reveals that computational complexity arises from the cyclic part in the
fundamental decomposition of a weighted tournament into cyclic and cocyclic
components. Thus the existence of majority cycles -- the engine driving both
Arrow's impossibility theorem and the Gibbard-Satterthwaite theorem -- also
serves as a source of computational complexity in social choice.


title:
A nullstellensatz for linear partial differential equations with
  polynomial coefficients

abstract:
  In this paper an equation means a homogeneous linear partial differential
equation in $n$ unknown functions of $m$ variables which has real or complex
polynomial coefficients. The solution set consists of all $n$-tuples of real or
complex analytic functions that satisfy the equation. For a given system of
equations we would like to characterize its Weyl closure, i.e. the set of all
equations that vanish on the solution set of the given system. It is well-known
that in many special cases the Weyl closure is equal to $B_m(F)N \cap A_m(F)^n$
where $F$ is either the field of real or complex numbers, $A_m(F)$
(respectively $B_m(F)$) consists of all linear partial differential operators
with coefficients in $F[x_1,\ldots,x_m]$ (respectively $F(x_1,\ldots,x_m)$) and
$N$ is the submodule of $A_m(F)^n$ generated by the given system. Our main
result is that this formula holds in general. In particular, we do not assume
that the module $A_m(F)^n/N$ has finite rank which used to be a standard
assumption. Our approach works also for the real case which was not possible
with previous methods. Moreover, our proof is constructive as it depends only
on the Riquier-Janet theory.


title: Almost Perfect Privacy for Additive Gaussian Privacy Filters

abstract:
  We study the maximal mutual information about a random variable $Y$
(representing non-private information) displayed through an additive Gaussian
channel when guaranteeing that only $\epsilon$ bits of information is leaked
about a random variable $X$ (representing private information) that is
correlated with $Y$. Denoting this quantity by $g_\epsilon(X,Y)$, we show that
for perfect privacy, i.e., $\epsilon=0$, one has $g_0(X,Y)=0$ for any pair of
absolutely continuous random variables $(X,Y)$ and then derive a second-order
approximation for $g_\epsilon(X,Y)$ for small $\epsilon$. This approximation is
shown to be related to the strong data processing inequality for mutual
information under suitable conditions on the joint distribution $P_{XY}$. Next,
motivated by an operational interpretation of data privacy, we formulate the
privacy-utility tradeoff in the same setup using estimation-theoretic
quantities and obtain explicit bounds for this tradeoff when $\epsilon$ is
sufficiently small using the approximation formula derived for
$g_\epsilon(X,Y)$.


title:
Survivable Cloud Network Design Against Multiple Failures Through
  Protecting Spanning Trees

abstract:
  Survivable design of cross-layer networks, such as the cloud computing
infrastructure, lies in its resource deployment and allocation and mapping of
the logical (virtual datacenter/IP) network into the physical infrastructure
(cloud backbone/WDM) such that link or node failure(s) in the physical
infrastructure would not result in cascading failures in the logical network.
Most of the prior approaches for survivable cross-layer network design aim at
single-link failure scenario, which are not applicable to the more challenging
multi-failure scenarios. Also, as many of these approaches use the cross-layer
cut concept, enumeration of all cuts in the network is required and thus
introducing exponential number of constraints. To overcome these difficulties,
we investigate in this paper survivable mapping approaches against multiple
physical link failures and its special case, Shared Risk Link Group (SRLG)
failure. We present the necessary and sufficient conditions based on both
cross-layer spanning trees and cutsets to guarantee a survivable mapping when
multiple physical link failures occur. Based on the necessary and sufficient
conditions, we propose to solve the problem through (1) mixed-integer linear
programs which avoid enumerating all combinations of link failures, and (2) an
algorithm which generates/adds logical spanning trees sequentially. Our
simulation results show that the proposed approaches can produce survivable
mappings effectively against both $k$- and SRLG-failures.


title: The changing faces of the Problem of Space in the work of Hermann Weyl

abstract:
  During his life Weyl approached the problem of space (PoS) from various
sides. Two aspects stand out as permanent features of his different approaches:
the {\em unique determination of an affine connection} (i.e., without torsion
in the terminology of Cartan) and the question {\em which type of group}
characterizes physical space. The first feature came up in 1919 (commentaries
to Riemann's inaugural lecture) and played a crucial role in Weyl's work on the
PoS in the early 1920s. He defended the central role of affine connections even
in the light of Cartan's more general framework of connections with torsion. In
later years, after the rise of the Dirac field, it could have become
problematic, but Weyl saw the challenge posed to Einstein gravity by spin
coupling primarily in the possibility to allow for non-metric affine
connections. Only after Weyl's death Cartan's approach to infinitesimal
homogeneity and torsion became revitalized in gravity theories.


title:
EV Dispatch Control for Supplementary Frequency Regulation Considering
  the Expectation of EV Owners

abstract:
  Electric Vehicles (EVs) are promising to provide frequency regulation
services due to their fast regulating characteristics. However, when EVs
participate in Supplementary Frequency Regulation (SFR), it is challenging to
simultaneously achieve the dispatch of the control center and the expected
State of Charge (SOC) levels of EV batteries. To solve this problem, in this
paper we propose a Vehicle-to-Grid (V2G) control strategy, in which an
uncertain dispatch is implemented in the control center without detailed EV
charging/discharging information. The regulation from the control center is
achieved by allocating the regulation task within the frequency regulation
capacity (FRC) of EVs. The expected SOC levels of EV batteries are guaranteed
by a real-time correction of their scheduled V2G power in EV charging stations.
Simulations on an interconnected two-area power system validate the
effectiveness of the proposed V2G control in achieving both the frequency
regulation and the expected SOC levels of EVs.


title:
Nonlinear Statistical Data Assimilation for HVC$_{\text{RA}}$ Neurons in
  the Avian Song System

abstract:
  With the goal of building a model of the HVC nucleus in the avian song
system, we discuss in detail a model of HVC$_{\text{RA}}$ projection neurons
comprised of a somatic compartment with fast Na$^+$ and K$^+$ currents and a
dendritic compartment with slower Ca$^{2+}$ dynamics. We show this model
qualitatively exhibits many observed electrophysiological behaviors. We then
show in numerical procedures how one can design and analyze feasible laboratory
experiments that allow the estimation of all of the many parameters and
unmeasured dynamical variables, given observations of the somatic voltage
$V_s(t)$ alone. A key to this procedure is to initially estimate the slow
dynamics associated with Ca, blocking the fast Na and K variations, and then
with the Ca parameters fixed, estimate the fast Na and K dynamics. This
separation of time scales provides a numerically robust method for completing
the full neuron model, and the efficacy of the method is tested by prediction
when observations are complete. The simulation provides a framework for the
slice preparation experiments and illustrates the use of data assimilation
methods for the design of those experiments.


title: Induction and Analogy in a Problem of Finite Sums

abstract:
  What is a general expression for the sum of the first n integers, each raised
to the mth power, where m is a positive integer? Answering this question will
be the aim of the paper....We will take the unorthodox approach of presenting
the material from the point of view of someone who is trying to solve the
problem himself. Keywords: analogy, Johann Faulhaber, finite sums, heuristics,
inductive reasoning, number theory, George Polya, problem solving, teaching of
mathematics


title:
Cosmic expansion history from SNe Ia data via information field theory
  -- the charm code

abstract:
  We present charm (cosmic history agnostic reconstruction method), a novel
inference algorithm that reconstructs the cosmic expansion history as encoded
in the Hubble parameter $H(z)$ from SNe Ia data. The novelty of the approach
lies in the usage of information field theory, a statistical field theory that
is very well suited for the construction of optimal signal recovery algorithms.
The charm algorithm infers non-parametrically
$s(a)=\ln(\rho(a)/\rho_{\mathrm{crit}0})$, the density evolution which
determines $H(z)$, without assuming an analytical form of $\rho(a)$ but only
its smoothness with the scale factor $a=(1+z)^{-1}$. The inference problem of
recovering the signal $s(a)$ from the data is formulated in a fully Bayesian
way. In detail, we have rewritten the signal as the sum of a background
cosmology and a perturbation. This allows us to determine the maximum a
posteriory estimate of the signal by an iterative Wiener filter method.
Applying charm to the Union2.1 supernova compilation, we have recovered a
cosmic expansion history that is fully compatible with the standard
$\Lambda$CDM cosmological expansion history with parameter values consistent
with the results of the Planck mission.


title: Seeking Maximum Linearity of Transfer Functions

abstract:
  Linearity is an important and frequently sought property in electronics and
instrumentation. Here, we report a method capable of, given a transfer
function, identifying the respective most linear region of operation with a
fixed width. This methodology, which is based on least squares regression and
systematic consideration of all possible regions, has been illustrated with
respect to both an analytical (sigmoid transfer function) and real-world
(low-power, one-stage class A transistor amplifier) situations. In the former
case, the method was found to identity the theoretically optimal region of
operation even in presence of noise. In the latter case, it was possible to
identify an amplifier circuit configuration providing a good compromise between
linearity, amplification and output resistance. The transistor amplifier
application, which was addressed in terms of transfer functions derived from
its experimentally obtained characteristic surface, also yielded contributions
such as the estimation of local constants of the device, as opposed to
typically considered average values. Moreover, the obtained characteristic
surfaces of the considered transistor (a generic, low signal device) revealed a
surprisingly complex structure. The reported method and results paves the way
to several other applications in other types of devices and systems,
intelligent control operation, and other areas such as identifying regions of
power law behavior.


title: The Galactic Center compared with nuclei of nearby galaxies

abstract:
  Understanding our Galactic Center is easier with insights from nearby
galactic nuclei. Both the star formation activity in nuclear gas disks, driven
by bars and nuclear bars, and the fueling of low-luminosity AGN, followed by
feedback of jets, driving molecular outflows, were certainly present in our
Galactic Center, which now appears to be quenched. Comparisons and diagnostics
are reviewed, in particular of m=2 and m=1 modes, lopsidedness, different disk
orientations, and fossil evidences of activity and feedback.


title: Reflection positivity on real intervals

abstract:
  We study functions f : (a,b) ---> R on open intervals in R with respect to
various kinds of positive and negative definiteness conditions. We say that f
is positive definite if the kernel f((x + y)/2) is positive definite. We call f
negative definite if, for every h > 0, the function e^{-hf} is positive
definite. Our first main result is a L\'evy--Khintchine formula (an integral
representation) for negative definite functions on arbitrary intervals. For
(a,b) = (0,\infty) it generalizes classical results by Bernstein and Horn.
  On a symmetric interval (-a,a), we call f reflection positive if it is
positive definite and, in addition, the kernel f((x - y)/2) is positive
definite. We likewise define reflection negative functions and obtain a
L\'evy--Khintchine formula for reflection negative functions on all of R.
Finally, we obtain a characterization of germs of reflection negative functions
on 0-neighborhoods in R.


title:
Application of Multiphase Particle Methods in Atomization and Breakup
  Regimes of Liquid Jets

abstract:
  Multiphase Smoothed Particle Hydrodynamics (SPH) method has been used to
study the jet breakup phenomena. It has been shown that this method is well
capable of capturing different jet breakup characteristics. The value obtained
for critical Weber number here in transition from dripping to jetting is a very
good match to available values in literature. Jet breakup lengths are also
agreeing well with several empirical correlations. Successful usage of SPH, as
a comparably fast CFD solver, in jet breakup analysis helps in speeding up the
numerical study of this phenomenon.


title: Fukaya A_\infty-structures associated to Lefschetz fibrations. III

abstract:
  Floer cohomology groups are usually defined over a field of formal functions
(a Novikov field). Under certain assumptions, one can equip them with
connections, which means operations of differentiation with respect to the
Novikov variable. This allows one to write differential equations for Floer
cohomology classes. Here, we apply that idea to symplectic cohomology groups
associated to Lefschetz fibrations, and obtain a relation with enumerative
geometry.


title:
Stochastically forced dislocation density distribution in plastic
  deformation

abstract:
  The dynamical evolution of dislocations in plastically deformed metals is
controlled by both deterministic factors arising out of applied loads and
stochastic effects appearing due to fluctuations of internal stress. Such type
of stochastic dislocation processes and the associated spatially inhomogeneous
modes lead to randomness in the observed deformation structure. Previous
studies have analyzed the role of randomness in such textural evolution but
none of these models have considered the impact of a finite decay time (all
previous models assumed instantaneous relaxation which is "unphysical") of the
stochastic perturbations in the overall dynamics of the system. The present
article bridges this knowledge gap by introducing a colored noise in the form
of an Ornstein-Uhlenbeck noise in the analysis of a class of linear and
nonlinear Wiener and Ornstein-Uhlenbeck processes that these structural
dislocation dynamics could be mapped on to. Based on an analysis of the
relevant Fokker-Planck model, our results show that linear Wiener processes
remain unaffected by the second time scale in the problem but all nonlinear
processes, both Wiener type and Ornstein-Uhlenbeck type, scale as a function of
the noise decay time $\tau$. The results are expected to ramify existing
experimental observations and inspire new numerical and laboratory tests to
gain further insight into the competition between deterministic and random
effects in modeling plastically deformed samples.

categories: cond-mat.stat-mech cond-mat.mtrl-sci cond-mat.soft physics.comp-ph


title:
Cosmology of non-minimal derivative coupling to gravity in Palatini
  formalism and its chaotic inflation

abstract:
  We consider, in Palatini formalism, a modified gravity of which the scalar
field derivative couples to Einstein tensor. In this scenario, Ricci scalar,
Ricci tensor and Einstein tensor are functions of connection field. As a
result, the connection field gives rise to relation, $h_{\mu\nu} = f
g_{\mu\nu}$ between effective metric, $h_{\mu\nu}$ and the usual metric
$g_{\mu\nu}$ where $f \,=\,1 - \kappa{\phi}^{,\alpha}{\phi}_{,\alpha}/2 $. In
FLRW universe, NMDC coupling constant is limited in a range of $ -2/
\dot{\phi}^{2} < \kappa \leq \infty $ preserving Lorentz signature of the
effective metric. Slowly-rolling regime provides $\kappa < 0$ forbidding
graviton from travelling at superluminal speed. Effective gravitational
coupling and entropy of blackhole's apparent horizon are derived.
  In case of negative coupling, acceleration could happen even with $w_{\rm
eff} > -1/3$. Power-law potentials of chaotic inflation are considered. For $V
\propto \phi^2$ and $V \propto \phi^4$, it is possible to obtain
tensor-to-scalar ratio lower than that of GR so that it satisfies $r < 0.12$ as
constrained by Planck 2015 \cite{Ade:2015lrj}. The $V \propto \phi^2$ case
yields acceptable range of spectrum index and $r$ values. The quartic
potential's spectrum index is disfavored by the Planck results. Viable range of
$\k$ for $V \propto \phi^2$ case lies in positive region, resulting in less
blackhole's entropy, superluminal metric, more amount of inflation, avoidance
of super-Planckian field initial value and stronger gravitational constant.


title:
Use of two-particle simulations for the evaluation of the flocculation
  rate in the case of insurmountable repulsive barriers

abstract:
  The interaction potential between two colloidal particles typically spans a
few nanometers. Hence the correct appraisal of the potential in simulations
requires very short time steps. However, it is often possible to combine one
many-particle calculation with several two-particle simulations in order to
estimate a set of aggregation rates. As in the theory of Fuchs, this procedure
combines the evaluation of the fastest flocculation rate with the calculation
of several stability ratios. This methodology was already tested in systems
which exhibit low repulsive barriers for primary minimum flocculation. In this
article, the procedure is modified in order to calculate an average rate for
secondary minimum flocculation. The technique is then used to estimate the
influence of drop deformation on the aggregation rate of hexadecane-in-water
nano-emulsions stabilized with sodium dodecylsulfate (SDS).


title: A New Functional-Logic Compiler for Curry: Sprite

abstract:
  We introduce a new native code compiler for Curry codenamed Sprite. Sprite is
based on the Fair Scheme, a compilation strategy that provides instructions for
transforming declarative, non-deterministic programs of a certain class into
imperative, deterministic code. We outline salient features of Sprite, discuss
its implementation of Curry programs, and present benchmarking results. Sprite
is the first-to-date operationally complete implementation of Curry.
Preliminary results show that ensuring this property does not incur a
significant penalty.


title: Efficient Multicasting in Content-Centric Networks Using Datagrams

abstract:
  The Named Data Networking (NDN) and Content-Centric Networking (CCNx)
architectures are the leading approaches for content-centric networking, and
both require using Interests (requests that elicit content) and maintaining
per-Interest forwarding state in Pending Interest Tables (PIT) to store
per-Interest forwarding state. To date, PITs have been assumed to be necessary
to enable native support for multicasting in the data plane, such that
multicast forwarding trees (MFT) are established by the forwarding and
aggregation of Interests using PITs. We present a new approach to
content-centric networks based on anonymous datagrams that provides native
support for multicasting, but does so without the need to maintain per-Interest
forwarding state. Simulation experiments are used to show that the proposed new
approach attains the same end-to-end delays for multicasting while requiring
orders of magnitude fewer forwarding entries.


title:
Generalized Foulkes modules and maximal and minimal constituents of
  plethysms of Schur functions

abstract:
  This paper proves a combinatorial rule giving all maximal and minimal
partitions $\lambda$ such that the Schur function $s_\lambda$ appears in a
plethysm of two arbitrary Schur functions. Determining the decomposition of
these plethysms has been identified by Stanley as a key open problem in
algebraic combinatorics. As corollaries we prove three conjectures of Agaoka on
the partitions labelling the lexicographically greatest and least Schur
functions appearing in an arbitrary plethysm. We also show that the
multiplicity of the Schur function labelled by the lexicographically least
constituent may be arbitrarily large. The proof is carried out in the symmetric
group and gives an explicit non-zero homomorphism corresponding to each maximal
or minimal partition.


title:
Use of the theory of Lifshitz-Slyosov-Wagner for the evaluation of the
  aqueous solubility of dodecane

abstract:
  The solubility of dodecane was determined using the theory of
Lifshitz-Slyosov-Wagner for the Ostwald ripening phenomenon. For this purpose,
a set of dodecane in water nanoemulsions stabilized with sodium dodecylsulfate
was prepared. The average cubic radius of the dispersions was followed as a
function of time for volume fractions between 0.001 and 0.00001. The correct
solubility (5.5 x 10-9 m3/m3) was only reproduced by the most dilute system.


title:
Undecidability of the Lambek calculus with subexponential and bracket
  modalities

abstract:
  The Lambek calculus is a well-known logical formalism for modelling natural
language syntax. The original calculus covered a substantial number of
intricate natural language phenomena, but only those restricted to the
context-free setting. In order to address more subtle linguistic issues, the
Lambek calculus has been extended in various ways. In particular, Morrill and
Valentin (2015) introduce an extension with so-called exponential and bracket
modalities. Their extension is based on a non-standard contraction rule for the
exponential that interacts with the bracket structure in an intricate way. The
standard contraction rule is not admissible in this calculus. In this paper we
prove undecidability of the derivability problem in their calculus. We also
investigate restricted decidable fragments considered by Morrill and Valentin
and we show that these fragments belong to the NP class.


title: Poincar\'e inequality 3/2 on the Hamming cube

abstract:
  For any $n \geq 1$, and any $f :\{-1,1\}^{n} \to \mathbb{R}$ we have $ \Re\,
\mathbb{E}\, (f + i\, |\nabla f|)^{3/2} \leq \Re\, (\mathbb{E}f)^{3/2}, $ where
$z^{3/2}$ for $z=x+iy$ is taken with principal branch and $\Re$ denotes the
real part.


title: On Tsirelson's theorem about triple points for harmonic measure

abstract:
  A theorem of Tsirelson from 1997 asserts that given three disjoint domains in
$\mathbb R^{n+1}$, the set of triple points belonging to the intersection of
the three boundaries where the three corresponding harmonic measures are
mutually absolutely continuous has null harmonic measure. The original proof by
Tsirelson is based on the fine analysis of filtrations for Brownian and
Walsh-Brownian motions and can not be translated into potential theory
arguments. In the present paper we give a purely analytical proof of the same
result.


title: Supersymmetry and Wrapped Branes in Microstate Geometries

abstract:
  We consider the supergravity back-reaction of M2 branes wrapping around the
space-time cycles in 1/8-BPS microstate geometries. We show that such brane
wrappings will generically break all the supersymmetries. In particular, all
the supersymmetries will be broken if there are such wrapped branes but the net
charge of the wrapped branes is zero. We show that if M2 branes wrap a single
cycle, or if they wrap a several of co-linear cycles with the same orientation,
then the solution will be 1/16-BPS, having two supersymmetries. We comment on
how these results relate to using W-branes to understand the microstate
structure of 1/8-BPS black holes.


title:
A Non-stationary Service Curve Model for Estimation of Cellular Sleep
  Scheduling

abstract:
  While steady-state solutions of backlog and delay have been derived for
essential wireless systems, the analysis of transient phases still poses
significant challenges. Considering the majority of short-lived and interactive
flows, transient startup effects, as caused by sleep scheduling in cellular
networks, have, however, a substantial impact on the performance. To facilitate
reasoning about the transient behavior of systems, this paper contributes a
notion of non-stationary service curves. Models of systems with sleep
scheduling are derived and transient backlogs and delays are analyzed. Further,
measurement methods that estimate the service of an unknown system from
observations of selected probe traffic are developed. Fundamental limitations
of existing measurement methods are explained by the non-convexity of the
transient service and further difficulties are shown to be due to the
super-additivity of network service processes. A novel two-phase probing
technique is devised that first determines the shape of a minimal probe and
subsequently obtains an accurate estimate of the unknown service. In a
comprehensive measurement campaign, the method is used to evaluate the service
of cellular networks with sleep scheduling (2G, 3G, and 4G), revealing
considerable transient backlog and delay overshoots that persist for long
relaxation times.


title: Quasi-matroidal classes of ordered simplicial complexes

abstract:
  We introduce the notion of a quasi-matroidal class of ordered simplicial
complexes: an approximation to the idea of a matroid cryptomorphism in the
landscape of ordered simplicial complexes. A quasi-matroidal class contains
pure shifted simplicial complexes and ordered matroid independence complexes.
The essential property is that if a fixed simplicial complex belongs to this
class for every ordering of its vertex set, then it is a matroid independence
complex. Some examples of such classes appear implicitly in the matroid theory
literature. We introduce various such classes that highlight different apsects
of matroid theory and its similarities with the theory of shifted simplicial
complexes. For example, we lift the study of objects like the Tutte polynomial
and nbc complexes to a quasi-matroidal class that allows us to define such
objects for shifted complexes. Furthermore, some of the quasi-matroidal classes
are amenable to inductive techniques that can't be applied directly in the
context of matroid theory. As an example, we provide a suitable setting to
reformulate and extend conjecture of Stanley about $h$-vectors of matroids
which is expected to be tractable with techniques that are out of reach for
matroids alone. This new conjecture holds for pure shifted simplicial complexes
and matroids of rank up to 4.


title: Tight framelets and fast framelet filter bank transforms on manifolds

abstract:
  Tight framelets on a smooth and compact Riemannian manifold $\mathcal{M}$
provide a tool of multiresolution analysis for data from geosciences,
astrophysics, medical sciences, etc. This work investigates the construction,
characterizations, and applications of tight framelets on such a manifold
$\mathcal{M}$. Characterizations of the tightness of a sequence of framelet
systems for $L_{2}(\mathcal{M})$ in both the continuous and semi-discrete
settings are provided. Tight framelets associated with framelet filter banks on
$\mathcal{M}$ can then be easily designed and fast framelet filter bank
transforms on $\mathcal{M}$ are shown to be realizable with nearly linear
computational complexity. Explicit construction of tight framelets on the
sphere $\mathbb{S}^{2}$ as well as numerical examples are given.


title: On the isotropy group of a simple derivation

abstract:
  Let $R=K[X_1,\dots, X_n]$ be a polynomial ring in $n$ variables over a field
$K$ of charactersitic zero and $d$ a $K$-derivation of $R$. Consider the
isotropy group if $d$: $ \text{Aut}(R)_d :=\{\rho \in \text{Aut}_K(R)|\; \rho d
\rho^{-1}=d\}$. In his doctoral thesis, Baltazar proved that if $d$ is a simple
Shamsuddin derivation of $K[X_1,X_2]$, then its isotropy group is trivial. He
also gave an example of a non-simple derivation whose isotropy group is
infinite. Recently, Mendes and Pan generalized this result to an arbitrary
derivation of $K[X_1,X_2]$ proving that a derivation of $K[X_1,X_2]$ is simple
if, and only if, its isotropy group is trivial. In this paper, we prove that
the isotropy group of a simple Shamsuddin derivation of the polynomial ring
$R=K[X_1,\dots, X_n]$ is trivial. We also calculate other isotropy groups of
(not necessarily simple) derivations of $K[X_1,X_2]$ and prove that they are
finite cyclic groups.


title:
An upper limit to the mass of a close companion candidate to {\sigma}
  Ori E

abstract:
  The famous, very young, helium rich, magnetically-active, radio and X-ray
emitter, short-period rotationally variable, spectroscopically peculiar star
{\sigma} Ori E may have a close late-type stellar companion, which could
explain flaring activity observed in some {\sigma} Ori E X-ray light curves. In
2009, Bouy et al. announced the detection of a faint companion candidate in the
Ks band at 0.330 arcsec (130 AU) to the B2 Vp primary. Here, we carry out
z'-band lucky imaging with AstraLux at the 2.2 m Calar Alto telescope in an
attempt to constrain the properties of the companion candidate to {\sigma} Ori
E. We impose a maximum mass of 2.0+0.2-0.1 Msol and an earliest spectral type
of K2+/-1, which leaves the door open to a new, inexpensive, near-infrared,
adaptive-optics study.


title: Semilinear substructural logics with the finite embeddability property

abstract:
  In this paper, three semilinear substructural logics ULw, IULw and HpsUL*w
are constructed. Then the completeness of ULw and IULw with respect to classes
of finite UL and IUL-algebras, respectively, is proved. Algebraically,
non-integral ULw and IULw-algebras have the finite embeddability property,
which gives a characterization for finite UL and IUL-algebras. Furthermore, the
standard completeness of ULw, IULw and HpsUL*w is proved, which shows that they
are substructural fuzzy logics.


title: Self-Aware and Self-Adaptive Autoscaling for Cloud Based Services

abstract:
  Modern Internet services are increasingly leveraging on cloud computing for
flexible, elastic and on-demand provision. Typically, Quality of Service (QoS)
of cloud-based services can be tuned using different underlying cloud
configurations and resources, e.g., number of threads, CPU and memory etc.,
which are shared, leased and priced as utilities. This benefit is fundamentally
grounded by autoscaling: an automatic and elastic process that adapts cloud
configurations on-demand according to time-varying workloads. This thesis
proposes a holistic cloud autoscaling framework to effectively and seamlessly
address existing challenges related to different logical aspects of
autoscaling, including architecting autoscaling system, modelling the QoS of
cloud-based service, determining the granularity of control and deciding
trade-off autoscaling decisions. The framework takes advantages of the
principles of self-awareness and the related algorithms to adaptively handle
the dynamics, uncertainties, QoS interference and trade-offs on objectives that
are exhibited in the cloud. The major benefit is that, by leveraging the
framework, cloud autoscaling can be effectively achieved without heavy human
analysis and design time knowledge. Through conducting various experiments
using RUBiS benchmark and realistic workload on real cloud setting, this thesis
evaluates the effectiveness of the framework based on various quality
indicators and compared with other state-of-the-art approaches.


title:
Exciton and trion dynamics in atomically thin MoSe2 and WSe2: effect of
  localization

abstract:
  We present a detailed investigation of the exciton and trion dynamics in
naturally doped MoSe2 and WSe2 single atomic layers as a function of
temperature in the range 10-300K under above band-gap laser excitation. By
combining time-integrated and time-resolved photoluminescence (PL) spectroscopy
we show the importance of exciton and trion localization in both materials at
low temperatures. We also reveal the transition to delocalized exciton
complexes at higher temperatures where the exciton and trion thermal energy
exceeds the typical localization energy. This is accompanied with strong
changes in PL including suppression of the trion PL and decrease of the trion
PL life-time, as well as significant changes for neutral excitons in the
temperature dependence of the PL intensity and appearance of a pronounced slow
PL decay component. In MoSe2 and WSe2 studied here, the temperatures where such
strong changes occur are observed at around 100 and 200 K, respectively, in
agreement with their inhomogeneous PL linewidth of 8 and 20 meV at T~10K. The
observed behavior is a result of a complex interplay between influences of the
specific energy ordering of bright and dark excitons in MoSe2 and WSe2, sample
doping, trion and exciton localization and various temperature-dependent
non-radiative processes.


title:
One-Dimensional Semirelativistic Hamiltonian with Multiple Dirac Delta
  Potentials

abstract:
  In this paper, we consider the one-dimensional semirelativistic
Schr\"{o}dinger equation for a particle interacting with $N$ Dirac delta
potentials. Using the heat kernel techniques, we establish a resolvent formula
in terms of an $N \times N$ matrix, called the principal matrix. This matrix
essentially includes all the information about the spectrum of the problem. We
study the bound state spectrum by working out the eigenvalues of the principal
matrix. With the help of the Feynman-Hellmann theorem, we analyze how the bound
state energies change with respect to the parameters in the model. We also
prove that there are at most $N$ bound states and explicitly derive the bound
state wave function. The bound state problem for the two-center case is
particularly investigated. We show that the ground state energy is bounded
below, and there exists a self-adjoint Hamiltonian associated with the
resolvent formula. Moreover, we prove that the ground state is nondegenerate.
The scattering problem for $N$ centers is analyzed by exactly solving the
semirelativistic Lippmann-Schwinger equation. The reflection and the
transmission coefficients are numerically and asymptotically computed for the
two-center case. We observe the so-called threshold anomaly for two
symmetrically located centers. The semirelativistic version of the
Kronig-Penney model is shortly discussed, and the band gap structure of the
spectrum is illustrated. The bound state and scattering problems in the
massless case are also discussed. Furthermore, the reflection and the
transmission coefficients for the two delta potentials in this particular case
are analytically found. Finally, we solve the renormalization group equations
and compute the beta function nonperturbatively.