title:
Discrimination of parametrizations for nuclear effects in neutrino
  scattering through comparisons of low (~ 700 MeV) and medium (~ 3 GeV) energy
  cross-section data

abstract:
  High-quality charged current quasielastic scattering data have recently been
reported for both muon neutrinos and antineutrinos from several
accelerator-based neutrino experiments. Measurements from MiniBooNE were the
first to indicate that more complex nuclear effects, now thought to be the
result of nucleon pair correlations, may contribute to neutrino quasielastic
samples at a much higher significance than previously assumed. These findings
are now being tested by MINER$\nu$A and other contemporary neutrino
experiments. Presented here is a comparison of data from MiniBooNE and
MINER$\nu$A to a few example parametrizations of these nuclear effects. It has
been demonstrated that such effects may bias future measurements of neutrino
oscillation parameters and so this issue continues to press the neutrino
community. A comparison of data over a large range of neutrino energies is one
approach to exploring the extent to which such nucleon correlations may
influence our understanding and subsequent modeling of neutrino quasielastic
scattering.


title: Q-learning optimization in a multi-agents system for image segmentation

abstract:
  To know which operators to apply and in which order, as well as attributing
good values to their parameters is a challenge for users of computer vision.
This paper proposes a solution to this problem as a multi-agent system modeled
according to the Vowel approach and using the Q-learning algorithm to optimize
its choice. An implementation is given to test and validate this method.


title: The Evolution of Dusty Debris Disks Around Solar Type Stars

abstract:
  We used chromospheric activity to determine the ages of 2,820 field stars..
We searched these stars for excess emission at 22 um with the Wide-Field
Infrared Survey Explorer. Such excess emission is indicative of a dusty debris
disk around a star. We investigated how disk incidence trends with various
stellar parameters, and how these parameters evolve with time. We found 22 um
excesses around 98 stars (a detection rate of 3.5%). Seventy-four of these 98
excess sources are presented here for the first time. We also measured the
abundance of lithium in 8 dusty stars in order to test our stellar age
estimates.


title:
On recognizability of PSU_3(q) by the orders of maximal abelian
  subgroups

abstract:
  In [Li and Chen, A new characterization of the simple group A_1(p^n), Sib.
Math. J., 2012], it is proved that the simple group A_1(p^n) is uniquely
determined by the set of orders of its maximal abelian subgroups. Also in
[Momen and Khosravi, Groups with the same orders of maximal abelian subgroups
as A_2(q), Monatsh. Math., 2013], the authors proved that if L=A_2(q), where q
is not a Mersenne prime, then every finite group with the same orders of
maximal abelian subgroups as L, is isomorphic to L or an extension of L by a
subgroup of the outer automorphism group of L. In this paper, we prove that if
L=PSU_3(q), where q is not a Fermat prime, then every finite group with the
same orders of maximal abelian subgroups as L, is isomorphic to L or an
extension of L by a field automorphism of L.


title: Games and Full Completeness for Multiplicative Linear Logic

abstract:
  We present a game semantics for Linear Logic, in which formulas denote games
and proofs denote winning strategies. We show that our semantics yields a
categorical model of Linear Logic and prove full completeness for
Multiplicative Linear Logic with the MIX rule: every winning strategy is the
denotation of a unique cut-free proof net. A key role is played by the notion
of {\em history-free} strategy; strong connections are made between
history-free strategies and the Geometry of Interaction. Our semantics
incorporates a natural notion of polarity, leading to a refined treatment of
the additives. We make comparisons with related work by Joyal, Blass et al.


title: A microscopic Interpretation of the SM Higgs Mechanism

abstract:
  A model is presented where the Higgs mechanism of the Standard Model is
deduced from the alignment of a strongly correlated fermion system in an
internal space with $A_4$ symmetry. The ground state is constructed and its
energy calculated. Finally, it is claimed that the model may be derived from a
field theory in 6+1 dimensions.


title: On the degree of the colored Jones polynomial

abstract:
  The extreme degrees of the colored Jones polynomial of any link are bounded
in terms of concrete data from any link diagram. It is known that these bounds
are sharp for semi-adequate diagrams. One of the goals of this paper is to show
the converse; if the bounds are sharp then the diagram is semi-adequate. As a
result, we use colored Jones link polynomials to extract an invariant that
detects semi-adequate links and discuss some applications.


title: A Proof of the Barsotti-Chevalley Theorem on Algebraic Groups

abstract:
  A fundamental theorem of Barsotti and Chevalley states that every smooth
algebraic group over a perfect field is an extension of an abelian variety by a
smooth affine algebraic group. In 1956 Rosenlicht gave a short proof of the
theorem. In this expository article, we explain his proof in the language of
modern algebraic geometry.


title: Periodic Orbits in the Kepler-Heisenberg Problem

abstract:
  One can formulate the classical Kepler problem on the Heisenberg group, the
simplest sub-Riemannian manifold. We take the sub-Riemannian Hamiltonian as our
kinetic energy, and our potential is the fundamental solution to the Heisenberg
sub-Laplacian. The resulting dynamical system is known to contain a fundamental
integrable subsystem. Here we use variational methods to prove that the
Kepler-Heisenberg system admits periodic orbits with $k$-fold rotational
symmetry for any odd integer $k\geq 3$. Approximations are shown for $k=3$.


title:
Wigner function description of entanglement swapping using parametric
  down conversion: the role of vacuum fluctuations in teleportation

abstract:
  We apply the Wigner formalism of quantum optics to study the role of the
zeropoint field fluctuations in entanglement swapping produced via parametric
down conversion. It is shown that the generation of mode entanglement between
two initially non interacting photons is related to the quadruple correlation
properties of the electromagnetic field, through the stochastic properties of
the vacuum. The relationship between the process of transferring entanglement
and the different zeropoint inputs at the nonlinear crystal and the Bell-state
analyser is emphasized.


title: NILE: Fast Natural Language Processing for Electronic Health Records

abstract:
  Objective: Narrative text in Electronic health records (EHR) contain rich
information for medical and data science studies. This paper introduces the
design and performance of Narrative Information Linear Extraction (NILE), a
natural language processing (NLP) package for EHR analysis that we share with
the medical informatics community. Methods: NILE uses a modified prefix-tree
search algorithm for named entity recognition, which can detect prefix and
suffix sharing. The semantic analyses are implemented as rule-based finite
state machines. Analyses include negation, location, modification, family
history, and ignoring. Result: The processing speed of NILE is hundreds to
thousands times faster than existing NLP software for medical text. The
accuracy of presence analysis of NILE is on par with the best performing models
on the 2010 i2b2/VA NLP challenge data. Conclusion: The speed, accuracy, and
being able to operate via API make NILE a valuable addition to the NLP software
for medical informatics and data science.


title:
Global Regularity for an Inviscid Three-dimensional Slow Limiting Ocean
  Dynamics Model

abstract:
  We establish, for smooth enough initial data, the global well-posedness
(existence, uniqueness and continuous dependence on initial data) of solutions,
for an inviscid three-dimensional {\it slow limiting ocean dynamics} model.
This model was derived as a strong rotation limit of the rotating and
stratified Boussinesg equations with periodic boundary conditions. To establish
our results we utilize the tools developed for investigating the
two-dimensional incompressible Euler equations and linear transport equations.
Using a weaker formulation of the model we also show the global existence and
uniqueness of solutions, for less regular initial data.

categories: math.AP physics.ao-ph physics.flu-dyn physics.geo-ph


title: Hairy planar black holes in higher dimensions

abstract:
  We construct exact hairy planar black holes in D-dimensional AdS gravity.
These solutions are regular except at the singularity and have stress-energy
that satisfies the null energy condition. We present a detailed analysis of
their thermodynamical properties and show that the first law is satisfied. We
also discuss these solutions in the context of AdS/CFT duality and construct
the associated c-function.


title: Studying quark condensates within models of four-quark interaction

abstract:
  Analysing two models of four-quark interactions which are of intrinsic
difference in the behaviours of their correlation lengths some issues of quark
condensations are considered. It is demonstrated that the quark condensates
substantially are not sensitive to the details of those interactions in the
range of coupling constants interesting for applications.


title: Yangian-Like Symmetry of Probe-Brane Actions

abstract:
  We demonstrate that world-volume actions describing probe branes in anti de
Sitter space have an infinite-dimensional symmetry algebra that is reminiscent
of Yangian symmetry. Two essential ingredients are responsible for this
symmetry. The first is an inversion symmetry of anti de Sitter space. The
second is the compensating gauge transformations that are required to properly
describe global symmetries after gauge fixing the general coordinate
invariance.


title: On Global Existence of 3D Charge Critical Dirac-Klein-Gordon system

abstract:
  In this paper, we prove the global well-posedness property of charge critical
Dirac-Klein-Gordon (DKG) system in $\mathbb{R}^{3+1}$ for small initial data in
a space of scale invariant data which has extra weighted regularity in the
angular variables. Therefore, by finite speed propagation, we could also derive
the local well-posedness property for large initial data in the same space. To
author's knowledge, our result appears to be the first result on the critical
3D DKG.


title:
A Classification of Real Indecomposable Solvable Lie Algebras of Small
  Dimension with Codimension One Nilradicals

abstract:
  This thesis was concerned with classifying the real indecomposable solvable
Lie algebras with codimension one nilradicals of dimensions two through seven.
This thesis was organized into three chapters.
  In the first, we described the necessary concepts and definitions about Lie
algebras as well as a few helpful theorems that are necessary to understand the
project. We also reviewed many concepts from linear algebra that are essential
to the research.
  The second chapter was occupied with a description of how we went about
classifying the Lie algebras. In particular, it outlined the basic premise of
the classification: that we can use the automorphisms of the nilradical of the
Lie algebra to find a basis with the simplest structure equations possible. In
addition, it outlined a few other methods that also helped find this basis.
Finally, this chapter included a discussion of the canonical forms of certain
types of matrices that arose in the project.
  The third chapter presented a sample of the classification of the seven
dimensional Lie algebras. In it, we proceeded step-by-step through the
classification of the Lie algebras whose nilradical was one of four
specifically chosen because they were representative of the different types
that arose during the project.
  In the appendices, we presented our results in a list of the multiplication
tables of the isomorphism classes found.


title: A monotone Sinai theorem

abstract:
  Sinai proved that a nonatomic ergodic measure-preserving system has any
Bernoulli shift of no greater entropy as a factor. Given a Bernoulli shift, we
show that any other Bernoulli shift that is of strictly less entropy and is
stochastically dominated by the original measure can be obtained as a monotone
factor; that is, the factor map has the property that for each point in the
domain, its image under the factor map is coordinatewise smaller than or equal
to the original point.


title: Control of Two-Dimensional Excitonic Light Emission via Photonic Crystal

abstract:
  Monolayers of transition metal dichalcogenides (TMDCs) have emerged as new
optoelectronic materials in the two dimensional (2D) limit, exhibiting rich
spin-valley interplays, tunable excitonic effects, and strong light-matter
interactions. An essential yet undeveloped ingredient for many photonic
applications is the manipulation of its light emission. Here we demonstrate the
control of excitonic light emission from monolayer tungsten diselenide (WSe2)
in an integrated photonic structure, achieved by transferring one monolayer
onto a photonic crystal (PhC) with a cavity. In addition to the observation of
greatly enhanced (~60 times) photoluminescence of WSe2 and an effectively
coupled cavity-mode emission, we are able to redistribute the emitted photons
both polarly and azimuthally in the far field through designing PhC structures,
as revealed by momentum-resolved microscopy. A 2D optical antenna is thus
constructed. Our work suggests a new way of manipulating photons in hybrid 2D
photonics, important for future energy efficient optoelectronics and 2D
nano-lasers.


title:
Gigahertz repetition rate, sub-femtosecond timing jitter optical pulse
  train directly generated from a mode-locked Yb:KYW laser

abstract:
  We show that a 1.13-GHz repetition rate optical pulse train with 0.70 fs
high-frequency timing jitter (integration bandwidth of 17.5 kHz - 10 MHz, where
the measurement instrument-limited noise floor contributes 0.41 fs in 10 MHz
bandwidth) can be directly generated from a free-running, single-mode
diode-pumped Yb:KYW laser mode-locked by single-walled carbon nanotube
(SWCNT)-coated mirrors. To our knowledge, this is the lowest timing jitter
optical pulse train with the GHz repetition rate ever measured. If this pulse
train is used for direct sampling of 565-MHz signals (Nyquist frequency of the
pulse train), the demonstrated jitter level corresponds to the projected
effective-number-of-bit (ENOB) of 17.8, which is much higher than the thermal
noise limit of 50-ohm load resistance (~14 bits).


title:
Singularities around the QCD critical point in the complex chemical
  potential plane

abstract:
  We consider thermodynamic singularities appearing in the complex chemical
potential plane in the vicinity of QCD critical point. In order to investigate
what the singularities are like in a concrete form, we resort to an effective
theory based on a mean field approach. We study the behavior of extrema of the
real part of the complex effective potential in the complex order parameter
plane.


title:
Narrow-line Seyfert Galaxies. Connection between abundance and the
  large-scale structure

abstract:
  In this work the correlations between spatial concentrations of active nuclei
(NLS and BLS) and concentration of galaxies of full uniform sample were
obtained. Methods, developed by the author in earlier paper were used. Galaxies
of this uniform sample trace the large-scale structure. We used SDSS DR 7 data.
The correlations obtained are linear and the NLS/BLS ratio is constant. That
leads to conclusion that amounts NLS and BLS are some fixed fraction of all
galaxies independent on the density of large-scale environment. In order to
check validity of our results were also confirmed the well known result that
fraction of red galaxies increases with density of environment. Also it was
confirmed that this trend is more prominent for less massive galaxies.


title:
Electron events from the scattering with solar neutrinos in the search
  of keV scale sterile neutrino dark matter

abstract:
  In a previous work we showed that keV scale sterile neutrino dark matter
$\nu_s$ is possible to be detected in $\beta$ decay experiment using
radioactive sources such as $^3$T or $^{106}$Ru. The signals of this dark
matter candidate are mono-energetic electrons produced in neutrino capture
process $\nu_s + N' \to N +e^-$. These electrons have energy greater than the
maximum energy of the electrons produced in the associated decay process $N'
\to N +e^- + {\bar \nu}_e$. Hence, signal electron events are well beyond the
end point of the $\beta$ decay spectrum and are not polluted by the $\beta$
decay process. Another possible background, which is a potential threat to the
detection of $\nu_s$ dark matter, is the electron event produced by the
scattering of solar neutrinos with electrons in target matter. In this article
we study in detail this possible background and discuss its implication to the
detection of keV scale sterile neutrino dark matter. In particular, bound state
features of electrons in Ru atom are considered with care in the scattering
process when the kinetic energy of the final electron is the same order of
magnitude of the binding energy.


title: K-theoretic boson-fermion correspondence and melting crystals

abstract:
  We study non-Hermitian integrable fermion and boson systems from the
perspectives of Grothendieck polynomials. The models considered in this article
are the five-vertex model as a fermion system and the non-Hermitian phase model
as a boson system. Both of the models are characterized by the different
solutions satisfying the same Yang-Baxter relation. From our previous works on
the identification between the wavefunctions of the five-vertex model and
Grothendieck polynomials, we introduce skew Grothendieck polynomials, and
derive the addition theorem among them. Using these relations, we derive the
wavefunctions of the non-Hermitian phase model as a determinant form which can
also be expressed as the Grothendieck polynomials. Namely, we establish a
K-theoretic boson-fermion correspondence at the level of wavefunctions. As a
by-product, the partition function of the statistical mechanical model of a 3D
melting crystal is exactly calculated by use of the scalar products of the
wavefunctions of the phase model. The resultant expression can be regarded as a
K-theoretic generalization of the MacMahon function describing the generating
function of the plane partitions, which interpolates the generating functions
of two-dimensional and three-dimensional Young diagrams.

categories: math-ph cond-mat.stat-mech math.MP math.QA


title:
New Structured Matrix Methods for Real and Complex Polynomial
  Root-finding

abstract:
  We combine the known methods for univariate polynomial root-finding and for
computations in the Frobenius matrix algebra with our novel techniques to
advance numerical solution of a univariate polynomial equation, and in
particular numerical approximation of the real roots of a polynomial. Our
analysis and experiments show efficiency of the resulting algorithms.


title:
Zero-order ultrasensitivity: A study of criticality and fluctuations
  under the total quasi-steady state approximation in the linear noise regime

abstract:
  Zero-order ultrasensitivity (ZOU) is a long known and interesting phenomenon
in enzyme networks. Here, a substrate is reversibly modified by two
antagonistic enzymes (a "push-pull" system) and the fraction in modified state
undergoes a sharp switching from near-zero to near-unity at a critical value of
the ratio of the enzyme concentrations, under saturation conditions. ZOU and
its extensions have been studied for several decades now, ever since the
seminal paper of Goldbeter and Koshland (1981); however, a complete
probabilistic treatment, important for the study of fluctuations in finite
populations, is still lacking. In this paper, we study ZOU using a modular
approach, akin to the total quasi-steady state approximation (tQSSA). This
approach leads to a set of Fokker-Planck (drift-diffusion) equations for the
probability distributions of the intermediate enzyme-bound complexes, as well
as the modified/unmodified fractions of substrate molecules. We obtain explicit
expressions for various average fractions and their fluctuations in the linear
noise approximation (LNA). The emergence of a "critical point" for the
switching transition is rigorously established. New analytical results are
derived for the average and variance of the fractional substrate concentration
in various chemical states in the near-critical regime. For the total fraction
in the modified state, the variance is shown to be a maximum near the critical
point and decays algebraically away from it, similar to a second-order phase
transition. The new analytical results are compared with existing ones as well
as detailed numerical simulations using a Gillespie algorithm.


title:
Local Similarities, Global Coding: An Algorithm for Feature Coding and
  its Applications

abstract:
  Data coding as a building block of several image processing algorithms has
been received great attention recently. Indeed, the importance of the locality
assumption in coding approaches is studied in numerous works and several
methods are proposed based on this concept. We probe this assumption and claim
that taking the similarity between a data point and a more global set of anchor
points does not necessarily weaken the coding method as long as the underlying
structure of the anchor points are taken into account. Based on this fact, we
propose to capture this underlying structure by assuming a random walker over
the anchor points. We show that our method is a fast approximate learning
algorithm based on the diffusion map kernel. The experiments on various
datasets show that making different state-of-the-art coding algorithms aware of
this structure boosts them in different learning tasks.


title:
A New Characterization of Comonotonicity and its Application in
  Behavioral Finance

abstract:
  It is well-known that an $\mathbb{R}$-valued random vector $(X_1, X_2,
\cdots, X_n)$ is comonotonic if and only if $(X_1, X_2, \cdots, X_n)$ and
$(Q_1(U), Q_2(U),\cdots, Q_n(U))$ coincide \emph{in distribution}, for
\emph{any} random variable $U$ uniformly distributed on the unit interval
$(0,1)$, where $Q_k(\cdot)$ are the quantile functions of $X_k$, $k=1,2,\cdots,
n$. It is natural to ask whether $(X_1, X_2, \cdots, X_n)$ and $(Q_1(U),
Q_2(U),\cdots, Q_n(U))$ can coincide \emph{almost surely} for \emph{some}
special $U$. In this paper, we give a positive answer to this question by
construction. We then apply this result to a general behavioral investment
model with a law-invariant preference measure and develop a universal framework
to link the problem to its quantile formulation. We show that any optimal
investment output should be anti-comonotonic with the market pricing kernel.
Unlike previous studies, our approach avoids making the assumption that the
pricing kernel is atomless, and consequently, we overcome one of the major
difficulties encountered when one considers behavioral economic equilibrium
models in which the pricing kernel is a yet-to-be-determined unknown random
variable. The method is applicable to many other models such as risk sharing
model.


title: Connecting terrestrial to celestial reference frames

abstract:
  In this paper we outline several problems related to the realization of the
international celestial and terrestrial reference frames --- the ICRF and ITRF
--- at the millimeter level of accuracy, with emphasis on ICRF issues. We
consider here the current status of the ICRF, the interrelationship between the
ICRF and ITRF, and considerations for future ICRF realizations.


title:
An Environment-dependent Semi-Empirical Tight Binding Model Suitable for
  Electron Transport in Bulk Metals, Metal Alloys, Metallic Interfaces and
  Metallic Nanostructures I - Model and Validation

abstract:
  Semi-Empirical Tight Binding (TB) is known to be a scalable and accurate
atomistic representation for electron transport for realistically extended
nano-scaled semiconductor devices that might contain millions of atoms. In this
paper an environment-aware and transferable TB model suitable for electronic
structure and transport simulations in technologically relevant metals,
metallic alloys, metal nanostructures and metallic interface systems is
described. Part I of this paper describes the development and validation of the
new TB model.
  The new model incorporates intra-atomic diagonal and off-diagonal elements
for implicit self-consistency and greater transferability across bonding
environments. The dependence of the on-site energies on strain has been
obtained by appealing to the Moments Theorem that links closed electron paths
in the system to energy moments of angular momentum resolved local density of
states obtained ab-initio. The model matches self-consistent DFT electronic
structure results for bulk FCC metals with and without strain, metallic alloys,
metallic interfaces and metallic nanostructures with high accuracy and can be
used in predictive electronic structure and transport problems in metallic
systems at realistically extended length scales


title:
Long-term TeV and X-ray Observations of the Gamma-ray Binary HESS
  J0632+057

abstract:
  HESS J0632+057 is the only gamma-ray binary known so far whose position in
the sky allows observations with ground-based observatories both in the
northern and southern hemispheres. Here we report on long-term observations of
HESS J0632+057 conducted with the VERITAS and H.E.S.S. Cherenkov Telescopes and
the X-ray Satellite Swift, spanning a time range from 2004 to 2012 and covering
most of the system's orbit. The VHE emission is found to be variable, and is
correlated with that at X-ray energies. An orbital period of $315 ^{+6}_{-4}$
days is derived from the X-ray data set, which is compatible with previous
results, $P = (321 \pm 5$) days. The VHE light curve shows a distinct maximum
at orbital phases close to 0.3, or about 100 days after periastron passage,
which coincides with the periodic enhancement of the X-ray emission.
Furthermore, the analysis of the TeV data shows for the first time a
statistically significant ($> 6.5 \sigma$) detection at orbital phases
0.6--0.9. The obtained gamma-ray and X-ray light curves and the correlation of
the source emission at these two energy bands are discussed in the context of
the recent ephemeris obtained for the system. Our results are compared to those
reported for other gamma-ray binaries.


title: Higher-dimensional solutions for a nonuniformly elliptic equation

abstract:
  We prove $m$-dimensional symmetry results, that we call $m$-Liouville
theorems, for stable and monotone solutions of the following nonuniformly
elliptic equation \begin{eqnarray*}\label{mainequ} - div(\gamma(\mathbf x')
\nabla u(\mathbf x)) =\lambda (\mathbf x' ) f(u(\mathbf x)) \ \ \text{for}\ \
\mathbf x=(\mathbf x',\mathbf
x'')\in\mathbf{R}^d\times\mathbf{R}^{s}=\mathbf{R}^n,
  \end{eqnarray*} where $0\le m<n$ and $0<\lambda,\gamma$ are smooth functions
and $f\in C^1(\mathbf R)$. The interesting fact is that the decay assumptions
on the weight function $\gamma(\mathbf x') $ play the fundamental role in
deriving $m$-Liouville theorems. We show that under certain assumptions on the
sign of the nonlinearity $f$, the above equation satisfies a 0-Liouville
theorem. More importantly, we prove that for the double-well potential
nonlinearities, i.e. $f(u)=u-u^3$, the above equation satisfies a
$(d+1)$-Liouville theorem. This can be considered as a higher dimensional
counterpart of the celebrated conjecture of De Giorgi for the Allen-Cahn
equation. The remarkable phenomenon is that the $\tanh$ function that is the
profile of monotone and bounded solutions of the Allen-Cahn equation appears
towards constructing higher dimensional Liouville theorems.


title:
An Environment-dependent Semi-Empirical Tight Binding Model Suitable for
  Electron Transport in Bulk Metals, Metal Alloys, Metallic Interfaces and
  Metallic Nanostructures II - Effect of Confinement and Homogeneous Strain on
  Cu Conductance

abstract:
  The Semi-Empirical TB model developed in part I is applied to metal transport
problems of current relevance in part II. A systematic study of the effect of
quantum confinement, transport orientation and homogeneous strain on electronic
transport properties of Cu is carried out. It is found that quantum confinement
from bulk to nanowire boundary conditions leads to significant anisotropy in
conductance of Cu along different transport orientations. Compressive
homogeneous strain is found to reduce resistivity by increasing the density of
conducting modes in Cu. The [110] transport orientation in Cu nanowires is
found to be the most favorable for mitigating conductivity degradation since it
shows least reduction in conductance with confinement and responds most
favorably to compressive strain.


title: On the fundamental group of a variety with quotient singularities

abstract:
  Let k be a field, and let {\pi}:\tilde{X} -> X be a proper birational
morphism of irreducible k-varieties, where \tilde{X} is smooth and X has at
worst quotient singularities. When the characteristic of k is zero, a theorem
of Koll\'ar in [Ko1] says that {\pi} induces an isomorphism of etale
fundamental groups. We give a proof of this result which works for all
characteristics. As an application, we prove that for a smooth projective
irreducible surface X over an algebraically closed field k, the etale
fundamental group of the Hilbert scheme of n points of X, where n > 1, is
canonically isomorphic to the abelianization of the etale fundamental group of
X. Koll\'ar has pointed out how the proof of the first result can be extended
to cover the case of quotients by finite group schemes.


title: Wave Dark Matter and Dwarf Spheroidal Galaxies

abstract:
  We explore a model of dark matter called wave dark matter (also known as
scalar field dark matter and boson stars) which has recently been motivated by
a new geometric perspective by Bray. Wave dark matter describes dark matter as
a scalar field which satisfies the Einstein-Klein-Gordon equations. These
equations rely on a fundamental constant $\Upsilon$ (also known as the "mass
term" of the Klein-Gordon equation). Specifically, in this dissertation, we
study spherically symmetric wave dark matter and compare these results with
observations of dwarf spheroidal galaxies as a first attempt to compare the
implications of the theory of wave dark matter with actual observations of dark
matter. This includes finding a first estimate of the fundamental constant
$\Upsilon$. The majority of this thesis has also been presented by the author
in three separate shorter papers with arXiv reference codes [arXiv:1210.5269
[gr-qc]], [arXiv:1212.6426 [gr-qc]], [arXiv:1301.0255 [astro-ph.GA]]; note that
[arXiv:1301.0255 [astro-ph.GA]], and hence part of Chapter 4, represents joint
work with Hubert Bray.


title: Cosmological String Theory with Thermal Energy

abstract:
  An attempt to construct a cosmological scenario directly from string theory
is made. Cosmological string theory was presented by Antoniadis, Bachas, Ellis
and Nanopoulos. They also expect loop effects on cosmological string theory. In
this paper, we point out the other importance of the one-loop effect, the
finite temperature effect. The equations of motion for background geometry at
finite temperature are given. We address a problem on derivation of the
effective action at nonzero temperature.


title:
On Dyson's crank conjecture and the uniform asymptotic behavior of
  certain inverse theta functions

abstract:
  In this paper we prove a longstanding conjecture by Freeman Dyson concerning
the limiting shape of the crank generating function. We fit this function in a
more general family of inverse theta functions which play a key role in
physics.


title:
A new proof for the convergence of Picard's filter using partial
  Malliavin calculus

abstract:
  The discrete-time approximation for nonlinear filtering problems is related
to both of strong and weak approximations of stochastic differential equations.
In this paper, we propose a new method of proof for the convergence of
approximate nonlinear filter analyzed by Jean Picard (1984), and show a more
general result than the original one. For the proof, we develop an analysis of
Hilbert space valued functionals on Wiener space.


title:
A Primal-Dual Method for Training Recurrent Neural Networks Constrained
  by the Echo-State Property

abstract:
  We present an architecture of a recurrent neural network (RNN) with a
fully-connected deep neural network (DNN) as its feature extractor. The RNN is
equipped with both causal temporal prediction and non-causal look-ahead, via
auto-regression (AR) and moving-average (MA), respectively. The focus of this
paper is a primal-dual training method that formulates the learning of the RNN
as a formal optimization problem with an inequality constraint that provides a
sufficient condition for the stability of the network dynamics. Experimental
results demonstrate the effectiveness of this new method, which achieves 18.86%
phone recognition error on the TIMIT benchmark for the core test set. The
result approaches the best result of 17.7%, which was obtained by using RNN
with long short-term memory (LSTM). The results also show that the proposed
primal-dual training method produces lower recognition errors than the popular
RNN methods developed earlier based on the carefully tuned threshold parameter
that heuristically prevents the gradient from exploding.


title:
Platform-Based Design Methodology and Modeling for Aircraft Electric
  Power Systems

abstract:
  In an aircraft electric power system (EPS), a supervisory control unit must
actuate a set of switches to distribute power from generators to loads, while
satisfying safety, reliability and real-time performance requirements. To
reduce expensive re-design steps in current design methodologies, such a
control problem is generally addressed based on minor incremental changes on
top of consolidated solutions, since it is difficult to estimate the impact of
earlier design decisions on the final implementation. In this paper, we
introduce a methodology for the design space exploration and virtual
prototyping of EPS supervisory control protocols, following the platform-based
design (PBD) paradigm. Moreover, we describe the modeling infrastructure that
supports the methodology. In PBD, design space exploration is carried out as a
sequence of refinement steps from the initial specification towards a final
implementation, by mapping higher-level behavioral models into a set of library
components at a lower level of abstraction. In our flow, the system
specification is captured using SysML requirement and structure diagrams.
State-machine diagrams enable verification of the control protocol at a high
level of abstraction, while lowerlevel hybrid models, implemented in Simulink,
are used to verify properties related to physical quantities, such as time,
voltage and current values. The effectiveness of our approach is illustrated on
a prototype EPS control protocol design.


title:
A New Algorithm for Updating and Querying Sub-arrays of Multidimensional
  Arrays

abstract:
  Given a $d$-dimensional array $A$, an update operation adds a given constant
$C$ to each element within a continuous sub-array of $A$. A query operation
computes the sum of all the elements within a continuous sub-array of $A$. The
one-dimensional update and query handling problem has been studied intensively
and is usually solved using segment trees with lazy propagation technique. In
this paper, we present a new algorithm incorporating Binary Indexed Trees and
Inclusion-Exclusion Principle to accomplish the same task. We extend the
algorithm to update and query sub-matrices of matrices (two-dimensional array).
Finally, we propose a general form of the algorithm for $d$-dimensions which
achieves $\mathcal{O}(4^d*\log^{d}n)$ time complexity for both updates and
queries. This is an improvement over the previously known algorithms which
utilize hierarchical data structures like quadtrees and octrees and have a
worst-case time complexity of $\Omega(n^{d-1})$ per update/query.


title:
Flexibility of Commercial Building HVAC Fan as Ancillary Service for
  Smart Grid

abstract:
  In this paper, we model energy use in commercial buildings using empirical
data captured through sMAP, a campus building data portal at UC Berkeley. We
conduct at-scale experiments in a newly constructed building on campus. By
modulating the supply duct static pressure (SDSP) for the main supply air duct,
we induce a response on the main supply fan and determine how much ancillary
power flexibility can be provided by a typical commercial building. We show
that the consequent intermittent fluctuations in the air mass flow into the
building does not influence the building climate in a human-noticeable way. We
estimate that at least 4 GW of regulation reserve is readily available only
through commercial buildings in the US. Based on predictions this value will
reach to 5.6 GW in 2035. We also show how thermal slack can be leveraged to
provide an ancillary service to deal with transient frequency fluctuations in
the grid. We consider a simplified model of the grid power system with time
varying demand and generation and present a simple control scheme to direct the
ancillary service power flow from buildings to improve on the classical
automatic generation control (AGC)-based approach. Simulation results are
provided to show the effectiveness of the proposed methodology for enhancing
grid frequency regulation.


title:
Holographic Geometry of cMERA for Quantum Quenches and Finite
  Temperature

abstract:
  We study the time evolution of cMERA (continuous MERA) under quantum quenches
in free field theories. We calculate the corresponding holographic metric using
the proposal of arXiv:1208.3469 and confirm that it qualitatively agrees with
its gravity dual given by a half of the AdS black hole spacetime, argued by
Hartman and Maldacena in arXiv:1303.1080. By doubling the cMERA for the quantum
quench, we give an explicit construction of finite temperature cMERA. We also
study cMERA in the presence of chemical potential and show that there is an
enhancement of metric in the infrared region corresponding to the Fermi energy.


title:
Neutrino scattering from hydrodynamic modes in hot and dense neutron
  matter

abstract:
  We calculate the scattering rate of low energy neutrinos in hot and dense
neutron matter encountered in neutrons stars and supernova in the hydrodynamic
regime. We find that the Brillouin peak, associated with the sound mode, and
the Rayleigh peak, associated with the thermal diffusion mode, dominate the
dynamic structure factor. Although the total scattering cross section is
constrained by the compressibility sum rule, the differential cross-section
calculated using the hydrodynamic response function differs from results
obtained in approximate treatments often used in astrophysics such as random
phase approximations (RPA). We identified these differences and discuss its
implications for neutrino transport in supernova.


title:
K and Mn co-doped BaCd2As2: a hexagonal structured bulk diluted magnetic
  semiconductor with large magnetoresistance

abstract:
  A bulk diluted magnetic semiconductor was found in the K and Mn co-doped
BaCd2As2 system. Different from recently reported tetragonal
ThCr2Si2-structured II-II-V based(Ba,K)(Zn,Mn)2As2, the Ba1-yKyCd2-xMnxAs2
system has a hexagonal CaAl2Si2-type structure with the Cd2As2 layer forming a
honeycomb-like network. The Mn concentration reaches up to its x ? 0.4.
Magnetization measurements show that the samples undergo ferromagnetic
transitions with Curie temperature up to 16 K. With low coercive field less
than 10 Oe and large magnetoresistence of about -70%, the hexagonal structured
Ba1-yKyCd2-xMnxAs2 can be served as a promising candidate for spin
manipulations.


title:
Role of spin mixing conductance in spin pumping: enhancement of spin
  pumping efficiency in Ta/Cu/Py structures

abstract:
  From spin pumping measurements in Ta/Py devices for different thicknesses of
Ta, we determine the spin Hall angle to be 0.021 - 0.033 and spin diffusion
length to be 8 nm in Ta. We have also studied the effect of changing the
properties of non-magnet/ferromagnet interface by adding a Cu interlayer. The
experimental results show that the effective spin mixing conductance increases
in the presence of Cu interlayer for Ta/Cu/Py devices, whereas it decreases in
Pt/Cu/Py devices. Our findings allow the tunability of the spin pumping
efficiency by adding a thin interlayer at the non-magnet/ferromagnet interface.


title: Redundancy and Decoherence: Gateways From Quantum World to The Classical

abstract:
  In our daily life experiences we face localized objects which are "here or
there" not "here and there". The state of a cat could be "dead and alive" at
the same time from a quantum mechanical point of view, which is not in
agreement with our classical life observations. If we assume that quantum
theory can explain the large scale events, how is it possible that quantumness
disappears in the classical world? The answer lies in the interaction between
the environment and the system of interest. Quantum Darwinism describes the
proliferation of the quantum information of each system in the environment. We
will show how entanglement plays a key role in coding and decoding the
information of each system in its surrounding environment.


title:
Baryon Stability on the Higgs Dissolution Edge : Threshold corrections
  and suppression of Baryon violation in the NMSGUT

abstract:
  Superheavy threshold corrections to the matching condition between matter
Yukawa couplings of the effective Minimal Supersymmetric Standard Model (MSSM)
and the New Minimal Supersymmetric (SO(10)) GUT(NMSGUT) provide a novel and
generic mechanism for reducing the long standing and generically problematic
operator dimension 5 Baryon decay rates. In suitable regions of the parameter
space strong wave function renormalization of the effective MSSM Higgs doublets
due to the large number of heavy fields can take the wave function
renormalization of the MSSM Higgs field close to the dissolution value
($Z_{H,\overline{H}}=0$). Rescaling to canonical kinetic terms lowers the
SO(10) Yukawas required to match the MSSM fermion data. Since the same Yukawas
determine the dimension 5 B violation operator coefficients, the associated
rates can be suppressed to levels compatible with current limits. Including
these threshold effects also relaxes the constraint $ y_b-y_\tau\simeq
y_s-y_\mu$ operative between $\textbf{10} -\textbf{120} $ plet generated tree
level MSSM matter fermion Yukawas $y_f$. We exhibit accurate fits of the MSSM
fermion mass-mixing data in terms of NMSGUT superpotential couplings and 5
independent soft Susy breaking parameters specified at $10^{16.25}\,$ GeV with
the claimed suppression of Baryon decay rates. As before, our s-spectra are of
the mini split supersymmetry type with large $|A_0|,\mu,m_{H,\overline H} >
100\,\,$ TeV, light gauginos and normal s-hierarchy. Large $A_0,\mu$ and soft
masses allow significant deviation from the canonical GUT gaugino mass ratios
and ensure vacuum safety. Even without optimization, prominent candidates for
BSM discovery such as the muon magnetic anomaly, $b\rightarrow s\gamma$ and
Lepto-genesis CP violation emerge in the preferred ball park.


title: Space-Time Circuit-to-Hamiltonian Construction and Its Applications

abstract:
  The circuit-to-Hamiltonian construction translates dynamics (a quantum
circuit and its output) into statics (the groundstate of a circuit Hamiltonian)
by explicitly defining a quantum register for a clock. The standard
Feynman-Kitaev construction uses one global clock for all qubits while we
consider a different construction in which a clock is assigned to each
interacting qubit. This makes it possible to capture the spatio-temporal
structure of the original quantum circuit into features of the circuit
Hamiltonian. The construction is inspired by the original two-dimensional
interacting fermionic model (see
http://link.aps.org/doi/10.1103/PhysRevA.63.040302) We prove that for
one-dimensional quantum circuits the gap of the circuit Hamiltonian is
appropriately lower-bounded, partially using results on mixing times of Markov
chains, so that the applications of this construction for QMA (and partially
for quantum adiabatic computation) go through. For one-dimensional quantum
circuits, the dynamics generated by the circuit Hamiltonian corresponds to
diffusion of a string around the torus.


title:
Well-posedness for a system of quadratic derivative nonlinear
  Schr\"odinger equations with low regularity periodic initial data

abstract:
  We consider the Cauchy problem of a system of quadratic derivative nonlinear
Schr\"odinger equations which was introduced by M. Colin and T. Colin (2004) as
a model of laser-plasma interaction. For the nonperiodic case, the author
proved the small data global well-posedness and the scattering at the scaling
critical regularity for $d\geq 2$ when the coefficients of Laplacian satisfy
some condition. In the present paper, we prove the well-posedness of the system
for the periodic case. In particular, well-posedness is proved at the scaling
critical regularity for $d\geq 3$ under some condition for the coefficients of
Laplacian.


title:
The Transform between the space of observed values and the space of
  possible values of the parameter

abstract:
  In ref [math.ST/0411462] the notion of statistically dual distributions is
introduced. The reconstruction of confidence density [AIP Conference
Proceedings 803 (2005) 398] for the location parameter for several pairs of
statistically dual distributions (Poisson and Gamma, normal and normal, Cauchy
and Cauchy, Laplace and Laplace) in the case of single observation of the
random variable is a unique. It allows to introduce the Transform between the
space of observed values and the space of possible values of the parameter.


title: Reflected rough differential equations

abstract:
  In this paper, we study reflected differential equations driven by continuous
paths with finite $p$-variation ($1\le p<2$) and $p$-rough paths ($2\le p<3$)
on domains in Euclidean spaces whose boundaries may not be smooth. We define
reflected rough differential equations and prove the existence of a solution.
Also we discuss the relation between the solution to reflected stochastic
differential equation and reflected rough differential equation when the
driving process is a Brownian motion.


title: The full CMB temperature bispectrum from single-field inflation

abstract:
  We compute the full cosmic microwave background temperature bispectrum
generated by nonlinearities after single-field inflation. By integrating the
photon temperature at second order along a perturbed geodesic in Newtonian
gauge, we derive an expression for the observed temperature fluctuations that,
for the first time, clarifies the separation of the gravitational lensing and
time-delay effects from the purely second-order contributions. We then use the
second-order Boltzmann code CosmoLib$2^{\rm nd}$ to calculate these
contributions and their bispectrum. Including the perturbations in the photon
path, the numerically computed bispectrum exactly matches the expected squeezed
limit. Moreover, the analytic squeezed-limit formula reproduces well the
signal-to-noise and shape of the full bispectrum, potentially facilitating the
subtraction of the bias induced by second-order effects. For a cosmic-variance
limited experiment with $l_{\rm max} = 2000$, the bias on a local signal is
$f_{\rm NL}^{\rm loc} =0.73$ negligible for equilateral and orthogonal signals.
The signal-to-noise ratio is unity at $l_{\rm max} \sim 3000$, suggesting that
second-order effects may hopefully be measured in the future.


title:
Quadrupole terms in the Maxwell equations: Born energy, partial molar
  volume and entropy of ions. Debye-H\"uckel theory in a quadrupolarizable
  medium

abstract:
  A new equation of state relating the macroscopic quadrupole moment density
$Q$ to the gradient of the field $\nabla E$ in an isotropic fluid is derived:
$Q = \alpha_Q(\nabla E - U \nabla.E/3)$, where the quadrupolarizability
$\alpha_Q$ is proportional to the squared molecular quadrupole moment. Using
this equation of state, a generalized expression for the Born energy of an ion
dissolved in quadrupolar solvent is obtained. It turns out that the potential
and the energy of a point charge in a quadrupolar medium are finite. From the
obtained Born energy, the partial molar volume and the partial molar entropy of
a dissolved ion follow. Both are compared to experimental data for a large
number of simple ions in aqueous solutions. From the comparison the value of
the quadrupolar length $L_Q$ is determined, $L_Q = \sqrt{\alpha_Q/3\epsilon}=
1-2 {\AA}$. Further, the extended Debye-H\"uckel model is generalized to ions
in a quadrupolar solvent. If quadrupole terms are allowed in the macroscopic
Coulomb law, they result in suppression of the gradient of the electric field.
In result, the electric double layer is slightly expanded. The activity
coefficients obtained within this model involve three characteristic lengths:
Debye length, ion radius and quadrupolar length $L_Q$. Comparison to
experimental data shows that minimal distance between ions is equal to the sum
of their bare ion radii; the concept for ion hydration as an obstacle for ions
to come into contact is not needed for the understanding of the experimental
data.


title: Off-policy reinforcement learning for $ H_\infty $ control design

abstract:
  The $H_\infty$ control design problem is considered for nonlinear systems
with unknown internal system model. It is known that the nonlinear $ H_\infty $
control problem can be transformed into solving the so-called
Hamilton-Jacobi-Isaacs (HJI) equation, which is a nonlinear partial
differential equation that is generally impossible to be solved analytically.
Even worse, model-based approaches cannot be used for approximately solving HJI
equation, when the accurate system model is unavailable or costly to obtain in
practice. To overcome these difficulties, an off-policy reinforcement leaning
(RL) method is introduced to learn the solution of HJI equation from real
system data instead of mathematical system model, and its convergence is
proved. In the off-policy RL method, the system data can be generated with
arbitrary policies rather than the evaluating policy, which is extremely
important and promising for practical systems. For implementation purpose, a
neural network (NN) based actor-critic structure is employed and a least-square
NN weight update algorithm is derived based on the method of weighted
residuals. Finally, the developed NN-based off-policy RL method is tested on a
linear F16 aircraft plant, and further applied to a rotational/translational
actuator system.


title: The Runge-Kutta Method in Geometric Multiplicative Calculus

abstract:
  This paper illuminates the derivation, the applicability, and the efficiency
of the Multiplicative Runge-Kutta Method, derived in the frame- work of
geometric multiplicative calculus. The removal of the restrictions of geometric
multiplicative calculus to positive-valued functions of real variable and the
fact that the multiplicative derivative does not exist at the roots of the
function, is presented explicitly to ensure that the proposed method is uni-
versally applicable. The error analysis is also carried out in the framework of
geometric multiplicative calculus explicitly. The presented method is applied
to various problems and the results are compared to the ones obtained from the
Ordinary Runge-Kutta Method. Moreover, for one example, a comparison of the
computation time vs. relative error, is worked out, to illustrate the general
advantage of the proposed method.


title:
On a recent preliminary study for the measurement of the Lense-Thirring
  effect with the Galileo satellites

abstract:
  It has been recently proposed to combine the node drifts of the future
constellation of 27 Galileo spacecraft together with those of the existing
LAGEOS-type satellites to improve the accuracy of the past and ongoing tests of
the Lense-Thirring (LT) effect by removing the bias of a larger number of even
zonal harmonics $J_{\ell}$ than either done or planned so far. Actually, it
seems a difficult goal to be realistically achieved for a number of reasons.
First, the LT range signature of a Galileo-type satellite is as little as $0.5$
mm over 3-days arcs, corresponding to a node rate of just $\dot\Omega_{\rm
LT}=2$ milliarcseconds per year (mas yr$^{-1}$). Some tesseral and sectorial
ocean tides such as $K_1,K_2$ induce long-period harmonic node perturbations
with frequencies which are integer multiples of the extremely slow Galileo's
node rate $\dot\Omega$ completing a full cycle in about 40 yr. Thus, over time
spans $T$ of some years they would act as superimposed semi-secular aliasing
trends. Since the coefficients of the $J_{\ell}$-free multisatellite linear
combinations are determined only by the semimajor axis $a$, the eccentricity
$e$ and the inclination $I$, which are nominally equal for all the Galileo
satellites, it is not possible to include all of them. Even by using only one
Galileo spacecraft together with the LAGEOS family would be unfeasible because
the resulting Galileo coefficient would be $\gtrsim 1$, thus enhancing the
aliasing impact of the uncancelled non-conservative and tidal perturbations.

categories: gr-qc astro-ph.EP physics.geo-ph physics.space-ph


title:
Interplay between multiple scattering, emission, and absorption of light
  in the phosphor of a white light-emitting diode

abstract:
  We study light transport in phosphor plates of white light-emitting diodes
(LEDs). We measure the broadband diffuse transmission through phosphor plates
of varying YAG:Ce$^{3+}$ density. We distinguish the spectral ranges where
absorption, scattering, and re-emission dominate. Using diffusion theory, we
derive the transport and absorption mean free paths from first principles. We
find that both transport and absorption mean free paths are on the order of the
plate thickness. This means that phosphors in commercial LEDs operate well
within an intriguing albedo range around 0.7. We discuss how salient parameters
that can be derived from first principles control the optical properties of a
white LED.


title: Vanishing of certain equivariant distributions on spherical spaces

abstract:
  We prove vanishing of distributions on a split real reductive group which
change according to a non-degenerate character under the left action of the
unipotent radical of the Borel subgroup, and are equivariant under the right
action of a spherical subgroup, and eigen with respect to the center of the
universal enveloping algebra of the Lie algebra of G.
  This is a generalization of a result by Shalika, that concerned the group
case. Shalika's result was crucial in the proof of his multiplicity one
theorem. We view our result as a step in the study of multiplicities of
quasi-regular representations on spherical varieties.
  As an application we prove non-vanishing of spherical Bessel functions.


title: Differentiability of correlations in Realistic Quantum Mechanics

abstract:
  We prove a version of Bell's Theorem in which the Locality assumption is
weakened. We start by assuming theoretical quantum mechanics and weak forms of
relativistic causality and of realism (essentially the fact that observable
values are well defined independently of whether or not they are measured).
Under these hypotheses, we show that only one of the correlation functions that
can be formulated in the framework of the usual Bell theorem is unknown. We
prove that this unknown function must be differentiable at certain angular
configuration points that include the origin. We also prove that, if this
correlation is assumed to be twice differentiable at the origin, then we arrive
at a version of Bell's theorem. On the one hand, we are showing that any
realistic theory of quantum mechanics which incorporates the kinematic aspects
of relativity must lead to this type of \emph{rough} correlation function that
is once but not twice differentiable. On the other hand, this study brings us a
single degree of differentiability away from a relativistic von Neumann no
hidden variables theorem.


title: Colourful antenna subtraction for gluon scattering

abstract:
  In this talk I discuss the application and generalization of the antenna
subtraction method to processes involving incoherent interferences of partial
amplitudes, which are generically present for the sub-leading colour
contributions to processes involving more than five partons. The approach makes
use of the known infrared (IR) singularity structure of one- and two-loop
matrix elements to guide the construction of the subtraction terms. A set of
integrated dipoles are defined which can be used to express the poles of one-
and two-loop matrix elements in terms of integrated antennae. The unintegrated
counterparts of these subtraction terms are then inferred to construct the
double real and real-virtual subtraction terms. The method has been tested by
computing the NNLO sub-leading colour contribution dijet production via gluon
scattering. The double real and real virtual matrix elements for this process
can be written purely in terms of incoherent interferences and so the
successful removal of all singularities and divergences demonstrates the
ability of the antenna subtraction method to handle general sub-leading colour
contributions


title:
On the algebraic curves for circular and folded strings in
  $\textrm{AdS}_5\times S^5$

abstract:
  There have been recent advances in the construction of algebraic curves for
certain classes of string solutions in the context of the AdS/CFT
correspondence. In this paper we obtain the Lax operators and associated
spectral curves for circular and folded string solutions in
$\,\textrm{AdS}_5\times S^5$. In addition, we provide an original approach for
the reconstruction of string solutions in $\,S^3$ from their corresponding
curves.


title:
The fusion rules of some free wreath product quantum groups and
  applications

abstract:
  In this paper we find the fusion rules of the free wreath products
$\widehat{\Gamma}\wr_*S_N^+$ for any (discrete) group $\Gamma$. To do this we
describe the spaces of intertwiners between basic corepresentations which
allows us to identify the irreducible corepresentations. We then apply the
knowledge of the fusion rules to prove, in most cases, several operator
algebraic properties of the associated reduced $C^*$-algebras such as
simplicity and uniqueness of the trace. We also prove that the associated von
Neumann algebra is a full type $II_1$-factor and that the dual of
$\widehat{\Gamma}\wr_*S_N^+$ has the Haagerup approximation property for all
finite groups $\Gamma$.


title: Yang-Mills correlators at finite temperature: A perturbative perspective

abstract:
  We consider the two-point correlators of Yang-Mills theories at finite
temperature in the Landau gauge. We employ a model for the corresponding
Yang-Mills correlators based on the inclusion of an effective mass term for
gluons. The latter is expected to have its origin in the existence of Gribov
copies. One-loop calculations at zero temperature have been shown to agree
remarkably well with the corresponding lattice data. We extend on this and
perform a one-loop calculation of the Matsubara gluon and ghost two-point
correlators at finite temperature. We show that, as in the vacuum, an effective
gluon mass accurately captures the dominant infrared physics for the magnetic
gluon and ghost propagators. It also reproduces the gross qualitative features
of the electric gluon propagator. In particular, we find a slight nonmonotonous
behavior of the Debye mass as a function of temperature, however not as
pronounced as in existing lattice results. A more quantitative description of
the electric sector near the deconfinement phase transition certainly requires
another physical ingredient sensitive to the order parameter of the transition.


title:
The Koslowski- Sahlmann representation: Gauge and diffeomorphism
  invariance

abstract:
  The discrete spatial geometry underlying Loop Quantum Gravity (LQG) is
degenerate almost everywhere. This is at apparent odds with the non- degeneracy
of asymptotically flat metrics near spatial infinity. Koslowski generalised the
LQG representation so as to describe states labelled by smooth non- degenerate
triad fields. His representation was further studied by Sahlmann with a view to
imposing gauge and spatial diffeomorphism invariance through group averaging
methods. Motivated by the desire to model asymptotically flat quantum geometry
by states with triad labels which are non- degenerate at infinity but not
necessarily so in the interior, we initiate a generalisation of Sahlmann's
considerations to triads of varying degeneracy. In doing so, we include
delicate phase contributions to the averaging procedure which are crucial for
the correct implementation of the gauge and diffeomorphism constraints, and
whose existence can be traced to the background exponential functions recently
constructed by one of us. Our treatment emphasizes the role of symmetries of
quantum states in the averaging procedure. Semianalyticity, influential in the
proofs of the beautiful uniqueness results for LQG, plays a key role in our
considerations. As a by product, we re- derive the group averaging map for
standard LQG, highlighting the role of state symmetries and explicitly
exhibiting the essential uniqueness of its specification.


title: A Large Scale Pattern from Optical Quasar Polarization Vectors

abstract:
  Based on a published catalog of 355 quasars with significant optical linear
polarization, it is shown here that the distribution of polarization directions
is skewed, preferentially toward one location in the sky and away from a
second. To show this, we calculate the average polarization angle as a function
of position. The function makes a clean quadrupole on the sky offering the
opportunity to apply multipoles including their spherical harmonic, Maxwell
vector and symmetric tensor representations. The evidence suggests that
observed polarization directions of optical quasars are not independent over
very large angular scales, thereby confirming similar conclusions by others.


title:
Independent Manipulation of Heat and Electrical Current via Bifunctional
  Metamaterials

abstract:
  Spatial tailoring of the material constitutive properties is a well-known
strategy to mold the local flow of given observables in different physical
domains. Coordinate-transformation-based methods (e.g., transformation optics)
offer a powerful and systematic approach to design anisotropic,
spatially-inhomogeneous artificial materials ("metamaterials") capable of
precisely manipulating wave-based (electromagnetic, acoustic, elastic) as well
as diffusion-based (heat) phenomena in a desired fashion. However versatile
these approaches have been, most designs have so far been limited to serving
single-target functionalities in a given physical domain. Here we present a
step towards a "transformation multiphysics" framework that allows independent
and simultaneous manipulation of multiple physical phenomena. As a proof of
principle of this new scheme, we design and synthesize (in terms of realistic
material constituents) a metamaterial shell that simultaneously behaves as a
thermal concentrator and an electrical "invisibility cloak". Our numerical
results open up intriguing possibilities in the largely unexplored phase space
of multi-functional metadevices, with a wide variety of potential applications
to electrical, magnetic, acoustic, and thermal scenarios.


title:
The circle method and bounds for $L$-functions - IV: Subconvexity for
  twists of $GL(3)$ $L$-functions - B

abstract:
  Let $\pi$ be a $SL(3,\mathbb Z)$ Hecke-Maass cusp form satisfying the
Ramanujan conjecture and the Selberg-Ramanujan conjecture, and let $\chi$ be a
primitive Dirichlet character modulo $M$, which we assume to be prime for
simplicity. We will prove the following subconvex bound $$
L\left(\tfrac{1}{2},\pi\otimes\chi\right)\ll_{\pi,\varepsilon}
M^{\frac{3}{4}-\frac{1}{1612}+\varepsilon}. $$


title:
Structure and Dynamics of [PF$_6$][P$_{1,2,2,4}$] from Molecular
  Dynamics Simulations

abstract:
  Diethyl(methyl)(isobutyl)phosphonium hexafluorophosphate,
[PF$_6$][P$_{1,2,2,4}$], is an organic ionic plastic crystal with potential
uses as a solid electrolyte in storage and light harvesting devices. In this
work we present a molecular dynamics simulation study for this material
covering an extended temperature range, from 175 K to 500 K. The simulations
predicts a transition from the crystalline to a {\em semi} plastic phase at 197
K, the onset of cation jump-like rotations at 280 K, a third transition at 340
K to a {\em full} plastic phase and melting to 450 K. Overall, the simulations
show a good agreement with the experimental findings providing a wealth of
detail in the structural and dynamic properties of the system.


title:
Boundedness of Intrinsic Square Functions and their Commutators on
  Generalized Orlicz-Morrey Spaces

abstract:
  We study the boundedness of intrinsic square functions and their commutators
on generalized Orlicz-Morrey spaces $M^{\Phi,\varphi}(\mathbb{R}^n)$. In all
the cases the conditions for the boundedness are given either in terms of
Zygmund-type integral inequalities on weights $\varphi(x,r)$ without assuming
any monotonicity property of $\varphi(x,r)$ on $r$.


title: Smith Normal Form of a Multivariate Matrix Associated with Partitions

abstract:
  Consideration of a question of E. R. Berlekamp led Carlitz, Roselle, and
Scoville to give a combinatorial interpretation of the entries of certain
matrices of determinant~1 in terms of lattice paths. Here we generalize this
result by refining the matrix entries to be multivariate polynomials, and by
determining not only the determinant but also the Smith normal form of these
matrices. A priori the Smith form need not exist but its existence follows from
the explicit computation. It will be more convenient for us to state our
results in terms of partitions rather than lattice paths.


title: An example of a reducible Severi variety

abstract:
  We construct a positive-dimensional, reducible Severi variety on a toric
surface.


title: Full Abstraction for PCF

abstract:
  An intensional model for the programming language PCF is described, in which
the types of PCF are interpreted by games, and the terms by certain
"history-free" strategies. This model is shown to capture definability in PCF.
More precisely, every compact strategy in the model is definable in a certain
simple extension of PCF. We then introduce an intrinsic preorder on strategies,
and show that it satisfies some striking properties, such that the intrinsic
preorder on function types coincides with the pointwise preorder. We then
obtain an order-extensional fully abstract model of PCF by quotienting the
intensional model by the intrinsic preorder. This is the first
syntax-independent description of the fully abstract model for PCF. (Hyland and
Ong have obtained very similar results by a somewhat different route,
independently and at the same time).
  We then consider the effective version of our model, and prove a Universality
Theorem: every element of the effective extensional model is definable in PCF.
Equivalently, every recursive strategy is definable up to observational
equivalence.


title:
An energy function and its application to the periodic behavior of
  k-reversible processes

abstract:
  We consider the graph dynamical systems known as k-reversible processes. In
such processes, each vertex in the graph has one of two possible states at each
discrete time step. Each vertex changes its state between the current time and
the next if and only if it currently has at least k neighbors in a state
different than its own. For such processes, we present a monotonic function
similar to the decreasing energy functions used to study threshold networks.
Using this new function, we show an alternative proof for the maximum period
length in a k-reversible process and provide better upper bounds on the
transient length in both the general case and the case of trees.


title:
A novel method based solely on FPGA units enabling measurement of time
  and charge of analog signals in Positron Emission Tomography

abstract:
  This article presents a novel technique for precise measurement of time and
charge based solely on FPGA (Field Programmable Gate Array) device and few
satellite discrete electronic components used in Positron Emission Tomography
(PET). Described approach simplifies electronic circuits, reduces the power
consumption, lowers costs, merges front-end electronics with digital
electronics and also makes more compact final design. Furthermore, it allows to
measure time when analog signals cross a reference voltage at different
threshold levels with a very high precision of $\sim$ 10ps (rms) and thus
enables sampling of signals in a voltage domain.


title:
A 3D Strange Attractor with a Distinctive Silhouette. The Butterfly
  Effect Revisited

abstract:
  We propose firstly an autonomous system of three first order differential
equations which has two nonlinear terms and generating a new and distinctive
strange attractor. Furthermore, this new 3D chaotic system performs a new
feature of the Sensitive Dependency on Initial Conditions (SDIC) popularized as
the Butterfly Effect discovered by Lorenz (1963). We noticed that the variation
of the Initial Conditions for our system leads not only to different attractors
but also to a singular phenomenon of overlapped attractors.


title:
Application of WLS strips for position determination in Strip PET
  tomograph based on plastic scintillators

abstract:
  A method of determination of a gamma quantum absorption point in a plastic
scintillator block using a matrix of wavelength-shifting (WLS) strips is
proposed. Application of this method for improvement of position resolution in
newly proposed PET detectors based on plastic scintillators is presented. The
method enables to reduce parallax errors in reconstruction of images which
occurs in the presently used Positron Emission Tomography scanners.


title:
Gap formation in a self-gravitating disk and the associated migration of
  the embedded giant planet

abstract:
  We present the results of our recent study on the interactions between a
giant planet and a self-gravitating gas disk. We investigate how the disk's
self-gravity affects the gap formation process and the migration of the giant
planet. Two series of 1-D and 2-D hydrodynamic simulations are performed. We
select several surface densities and focus on the gravitationally stable
region. To obtain more reliable gravity torques exerted on the planet, a
refined treatment of disk's gravity is adopted in the vicinity of the planet.
Our results indicate that the net effect of the disk's self-gravity on the gap
formation process depends on the surface density of the disk. We notice that
there are two critical values, \Sigma_I and \Sigma_II. When the surface density
of the disk is lower than the first one, \Sigma_0 < \Sigma_I, the effect of
self-gravity suppresses the formation of a gap. When \Sigma_0 > \Sigma_I, the
self-gravity of the gas tends to benefit the gap formation process and enlarge
the width/depth of the gap. According to our 1-D and 2-D simulations, we
estimate the first critical surface density \Sigma_I \approx 0.8MMSN. This
effect increases until the surface density reaches the second critical value
\Sigma_II. When \Sigma_0 > \Sigma_II, the gravitational turbulence in the disk
becomes dominant and the gap formation process is suppressed again. Our 2-D
simulations show that this critical surface density is around 3.5MMSN. We also
study the associated orbital evolution of a giant planet. Under the effect of
the disk's self-gravity, the migration rate of the giant planet increases when
the disk is dominated by gravitational turbulence. We show that the migration
timescale associates with the effective viscosity and can be up to 10^4 yr.


title:
Non-smooth unobservable states in control problem for the wave equation
  in ${\mathbb R}^3$ (corrected)

abstract:
  The paper deals with a dynamical system \begin{align*} &u_{tt}-\Delta u=0,
\qquad (x,t) \in {\mathbb R}^3 \times (-\infty,0) \\ &u \mid_{|x|<-t} =0 ,
\qquad t<0\\ &\lim_{s \to \infty} su((s+\tau)\omega,-s)=f(\tau,\omega), \qquad
(\tau,\omega) \in [0,\infty)\times S^2\,, \end{align*} where $u=u^f(x,t)$ is a
solution ({\it wave}), $f \in {\cal F}
:=L_2\left([0,\infty);L_2\left(S^2\right)\right)$ is a {\it control}. For the
reachable sets ${\cal U}^\xi:=\{u^f(\cdot, -\xi)\,|\,\, f \in {\cal
F}\}\,\,(\xi\geqslant 0)$, the embedding ${\cal U}^\xi \subset {\cal
H}^\xi:=\{y \in L_2({\mathbb R}^3)\,|\,\,\,y|_{|x|<\xi}=0\}$ holds, whereas the
subspaces ${\cal D}^\xi:={\cal H}^\xi \ominus {\cal U}^\xi$ of unreachable
({\it unobservable}) states are nonzero for $\xi> 0$. There was a conjecture
motivated by some geometrical optics arguments that the elements of ${\cal
D}^\xi$ are $C^\infty$-smooth with respect to $|x|$. We provide rather
unexpected counterexamples of $h\in {\cal D}^\xi$ with ${\rm sing\,supp\,}h
\subset \{x\in{\mathbb R}^3|\,\,|x|=\xi_0>\xi\}$.


title:
The quark contents of the nucleon and their implication for dark matter
  search

abstract:
  We present results concerning the light and strange quark contents of the
nucleon using $N_f=2+1+1$ flavours of maximally twisted mass fermions. The
corresponding $\sigma$-terms are casting light on the origin of the nucleon
mass and their values are important to interpret experimental data from direct
dark matter searches. We discuss our strategy to estimate systematic
uncertainties arising in our computations. Our preliminary results for the
$\sigma-$terms read $\sigma_{\pi N} = 37(2.6)(24.7) \mev$ and
$\sigma_s=28(8)(10) \mev$. We present our recent final analysis of the $y_N$
parameter and found $y_N=0.135(46)$ including
systematics\cite{Alexandrou:2013nda}.


title: Strong antibunching in a generalized Rabi model

abstract:
  We consider a generalized version of the Rabi model that includes a
nonlinear, dispersive-type atom-field interaction in addition to the usual
linear dipole coupling, as well as cavity dissipation. An effective system of
this sort arises, for example, in a quantum simulation of the Rabi model based
upon Raman transitions in an optical cavity QED setting [A. L. Grimsmo and S.
Parkins, Phys. Rev. A {\bf87}, 033814 (2013)]. For a suitable choice of the
nonlinear interaction strength, near degeneracies of the states in the
cavity-mode vacuum and single-photon subspaces, in combination with cavity
loss, gives rise to an essentially closed cycle of excitations and photon
emissions within these subspaces. Consequently, the cavity output field is
strongly antibunched. We develop a quantum-trajectory-based description of the
system that models its key properties very well, and use a simple dressed-state
picture to explain the novel structure of the cavity fluorescence spectrum. We
also present numerical results for a potential realization of the system using
a rubidium atom coupled strongly to a high-finesse optical cavity mode.


title: Isospin-asymmetric nuclear matter

abstract:
  This study uses classical molecular dynamics to simulate infinite nuclear
matter and study the effect of isospin asymmetry on bulk properties such as
energy per nucleon, pressure, saturation density, compressibility and symmetry
energy. The simulations are performed on systems embedded in periodic boundary
conditions with densities and temperatures in the ranges $\rho$=0.02 to 0.2
fm$^{-3}$ and T = 1, 2, 3, 4 and 5 MeV, and with isospin content of
$x=Z/A$=0.3, 0.4 and 0.5. The results indicate that symmetric and asymmetric
matter are self-bound at some temperatures and exhibit phase transitions from a
liquid phase to a liquid-gas mixture. The main effect of isospin asymmetry is
found to be a reduction of the equilibrium densities, a softening of the
compressibility and a disappearance of the liquid-gas phase transition. A
procedure leading to the evaluation of the symmetry energy and its variation
with the temperature was devised, implemented and compared to mean field theory
results.


title:
Paving Rectangular Regions with Rectangular Tiles: Tatami and Non-Tatami
  Tilings

abstract:
  The number of complete tilings of m X n floors for tiles of shape 1 X 2, 1 X
3, 1 X 4 and 2 X 3 is computed numerically for floors up to width m=9 and
variable floor lengths n. Counts are obtained for two classes, for fixed tile
stack orientation on one hand and for counts up to rotations and reflections on
the other hand. Counts are refined by the number of points on the floor where 4
tiles meet, i.e., by the degree of violation of the requirement for Tatami
tilings.


title: Physical aspects of heterogeneities in multi-component lipid membranes

abstract:
  Ever since the raft model for biomembranes has been proposed, the traditional
view of biomembranes based on the fluid-mosaic model has been altered. In the
raft model, dynamical heterogeneities in multi-component lipid bilayers play an
essential role. Focusing on the lateral phase separation of biomembranes and
vesicles, we review some of the most relevant research conducted over the last
decade. We mainly refer to those experimental works that are based on physical
chemistry approach, and to theoretical explanations given in terms of soft
matter physics. In the first part, we describe the phase behavior and the
conformation of multi-component lipid bilayers. After formulating the
hydrodynamics of fluid membranes in presence of the surrounding solvent, we
discuss the domain growth-law and decay rate of concentration fluctuations.
Finally, we review several attempts to describe membrane rafts as
two-dimensional microemulsion.

categories: cond-mat.soft cond-mat.stat-mech physics.bio-ph physics.chem-ph physics.flu-dyn


title: The detached-binary channel for the formation of contact binaries

abstract:
  The detached-binary channel is an important channel for the formation of
contact binaries, according to which a detached binary might evolve into
contact by evolutionary expansion of the components, or angular momentum loss
through the effect of magnetic braking (MB). We have carried out a detailed
binary population synthesis (BPS) study of this channel, and obtained the
parameter regions for detached binaries to evolve into contact. Combining the
observations from the $\emph{Kepler}$ satellite with our results, we found that
the ratio of the birth rate of the progenitors of contact binaries to that of
contact binaries is greater than about 1.2. This suggests that for the
detached-binary channel, the progenitors can be sufficient to produce observed
contact binaries. In this channel, we find that the distribution of orbital
period for contact binaries has a peak at about 0.25 days and a tail extending
to longer periods, and the formation timescale of contact binaries has a large
range from $\sim1$\,Myr to 15\,Gyr. These results show that the detached-binary
channel could explain satisfactorily the main observational characteristics of
contact binaries, in particular the distribution of orbital period shown by the
$\emph{Kepler}$ observations and the existence of very young contact binaries.


title:
Broadband high-resolution two-photon spectroscopy with laser frequency
  combs

abstract:
  Two-photon excitation spectroscopy with broad spectral span is demonstrated
at Doppler-limited resolution. We describe first Fourier transform two-photon
spectroscopy of an atomic sample with two mode-locked laser oscillators in a
dual-comb technique. Each transition is uniquely identified by the modulation
imparted by the interfering comb excitations. The temporal modulation of the
spontaneous two-photon fluorescence is monitored with a single photodetector,
and the spectrum is revealed by a Fourier transform.


title: Distributed multinomial regression

abstract:
  This article introduces a model-based approach to distributed computing for
multinomial logistic (softmax) regression. We treat counts for each response
category as independent Poisson regressions via plug-in estimates for fixed
effects shared across categories. The work is driven by the
high-dimensional-response multinomial models that are used in analysis of a
large number of random counts. Our motivating applications are in text
analysis, where documents are tokenized and the token counts are modeled as
arising from a multinomial dependent upon document attributes. We estimate such
models for a publicly available data set of reviews from Yelp, with text
regressed onto a large set of explanatory variables (user, business, and rating
information). The fitted models serve as a basis for exploring the connection
between words and variables of interest, for reducing dimension into supervised
factor scores, and for prediction. We argue that the approach herein provides
an attractive option for social scientists and other text analysts who wish to
bring familiar regression tools to bear on text data.


title:
Propagation of extragalactic photons at ultra-high energy with the EleCa
  code

abstract:
  Ultra-high energy (UHE) photons play an important role as an independent
probe of the photo-pion production mechanism by UHE cosmic rays. Their
observation, or non-observation, may constrain astrophysical scenarios for the
origin of UHECRs and help to understand the nature of the flux suppression
observed by several experiments at energies above $10^{19.5}$ eV. Whereas the
interaction length of UHE photons above $10^{17}$ eV ranges from a few hundred
kpc up to tenths of Mpc, photons can interact with the extragalactic background
radiation initiating the development of electromagnetic cascades which affect
the fluxes of photons observed at Earth. The interpretation of the current
experimental results rely on the simulations of the UHE photon propagation. In
this paper, we present the novel Monte Carlo code EleCa to simulate the
$Ele$ctromagnetic $Ca$scading initiated by high-energy photons and electrons.
  We provide an estimation of the surviving probability for photons inducing
electromagnetic cascades as a function of their distance from the observer and
we calculate the distances within which we expect to observe UHE photons with
energy between $10^{17}$ and $10^{19}$ eV. Furthermore, the flux of GZK photons
at Earth is investigated in several astrophysical scenarios where we vary both
injection spectrum and composition at the source and the intensity of the
intervening extragalactic magnetic field. Although the photon propagation
depends on several astrophysical factors, our numerical predictions combined
with future experimental observations (or non-observations) of UHE photons --
in the energy range between $10^{17.5}$ eV and $10^{20}$ eV -- can help to
constrain these scenarios.


title:
Measurement of the triple-differential cross section for photon + jets
  production in proton-proton collisions at sqrt(s) = 7 TeV

abstract:
  A measurement of the triple-differential cross section (sigma as a function
of the photon pt and eta and the jet eta) in photon + jets final states using a
data sample from proton-proton collisions at sqrt(s) = 7 TeV is presented. This
sample corresponds to an integrated luminosity of 2.14 inverse femtobarns
collected by the CMS detector at the LHC. Photons and jets are reconstructed
within a pseudorapidity range of abs(eta) < 2.5, and are required to have
transverse momenta in the range 40 < pt(gamma) < 300 GeV and pt(jet) > 30 GeV,
respectively. The measurements are compared to theoretical predictions from the
SHERPA leading-order QCD Monte Carlo event generator and the
next-to-leading-order perturbative QCD calculation from JETPHOX. The
predictions are found to be consistent with the data over most of the examined
kinematic region.


title:
An outflow perpendicular to the radio jet in the Seyfert nucleus of
  NGC5929

abstract:
  We report the observation of an outflow perpendicular to the radio jet in
near-infrared integral field spectra of the inner 250 pc of the Seyfert 2
galaxy NGC 5929. The observations were obtained with the Gemini Near infrared
Integral Field Spectrograph at a spatial resolution of ~20 pc and spectral
resolution R~5300 and reveal a region 50 pc wide crossing the nucleus and
extending by 300 pc perpendicularly to the known radio jet in this galaxy.
Along this structure - which we call SE-NW strip - the emission-line profiles
show two velocity components, one blueshifted and the other redshifted by -150
km/s and 150 km/s, respectively, relative to the systemic velocity. We
interpret these two components as due to an outflow perpendicular to the radio
jet, what is supported by low frequency radio emission observed along the same
region. We attribute this feature to the interaction of ambient gas with an
"equatorial outflow" predicted in recent accretion disk and torus wind models.
Perpendicularly to the SE-NW strip, thus approximately along the radio jet,
single component profiles show blueshifts of ~-150 km/s to the north-east and
similar redshifts to the south-west, which can be attributed to gas
counter-rotating relative to the stellar kinematics. More double-peaked
profiles are observed in association with the two radio hot-spots, attributed
to interaction of the radio jet with surrounding gas.


title:
Operator content of the critical Potts model in d dimensions and
  logarithmic correlations

abstract:
  Using the symmetric group $S_Q$ symmetry of the $Q$-state Potts model, we
classify the (scalar) operator content of its underlying field theory in
arbitrary dimension. In addition to the usual identity, energy and
magnetization operators, we find fields that generalize the $N$-cluster
operators well-known in two dimensions, together with their subleading
counterparts. We give the explicit form of all these operators -- up to
non-universal constants -- both on the lattice and in the continuum limit for
the Landau theory. We compute exactly their two- and three-point correlation
functions on an arbitrary graph in terms of simple probabilities, and give the
general form of these correlation functions in the continuum limit at the
critical point. Specializing to integer values of the parameter $Q$, we argue
that the analytic continuation of the $S_Q$ symmetry yields logarithmic
correlations at the critical point in arbitrary dimension, thus implying a
mixing of some scaling fields by the scale transformation generator. All these
logarithmic correlation functions are given a clear geometrical meaning, which
can be checked in numerical simulations. Several physical examples are
discussed, including bond percolation, spanning trees and forests, resistor
networks and the Ising model. We also briefly address the generalization of our
approach to the $O(n)$ model.


title: SUSY naturalness without prejudice

abstract:
  Unlike the Standard Model (SM), supersymmetric models stabilize the
electroweak (EW) scale $v$ at the quantum level and {\it predict} that $v$ is a
function of the TeV-valued SUSY parameters ($\gamma_\alpha$) of the UV
Lagrangian. We show that the (inverse of the) covariance matrix of the model in
the basis of these parameters and the usual deviation $\delta\chi^2$ (from
$\chi^2_{min}$ of a model) automatically encode information about the
"traditional" EW fine-tuning measuring this stability, {\it provided that} the
EW scale $v\sim m_Z$ is indeed regarded as a function $v=v(\gamma)$. It is
known that large EW fine-tuning may signal an incomplete theory of soft terms
and can be reduced when relations among $\gamma_\alpha$ exist (due to GUT
symmetries, etc). The global correlation coefficient of this matrix can help
one investigate if such relations are present. An upper bound on the usual EW
fine-tuning measure ("in quadrature") emerges from the analysis of the
$\delta\chi^2$ and the s-standard deviation confidence interval by using
$v=v(\gamma)$ and the theoretical approximation (loop order) considered for the
calculation of the observables. This upper bound avoids subjective criteria for
the "acceptable" level of EW fine-tuning for which the model is still
"natural".


title: Towards a Formalism-Based Toolkit for Automotive Applications

abstract:
  The success of a number of projects has been shown to be significantly
improved by the use of a formalism. However, there remains an open issue: to
what extent can a development process based on a singular formal notation and
method succeed. The majority of approaches demonstrate a low level of
flexibility by attempting to use a single notation to express all of the
different aspects encountered in software development. Often, these approaches
leave a number of scalability issues open. We prefer a more eclectic approach.
In our experience, the use of a formalism-based toolkit with adequate notations
for each development phase is a viable solution. Following this principle, any
specific notation is used only where and when it is really suitable and not
necessarily over the entire software lifecycle. The approach explored in this
article is perhaps slowly emerging in practice - we hope to accelerate its
adoption. However, the major challenge is still finding the best way to
instantiate it for each specific application scenario. In this work, we
describe a development process and method for automotive applications which
consists of five phases. The process recognizes the need for having adequate
(and tailored) notations (Problem Frames, Requirements State Machine Language,
and Event-B) for each development phase as well as direct traceability between
the documents produced during each phase. This allows for a stepwise
verification/validation of the system under development. The ideas for the
formal development method have evolved over two significant case studies
carried out in the DEPLOY project.


title:
On Using Complex Event Processing for Dynamic Demand Response
  Optimization in Microgrid

abstract:
  Demand-side load reduction is a key benefit of Smart Grids. However, existing
demand response optimization (DR) programs fail to effectively leverage the
near-realtime information available from smart meters and Building Area
Networks to respond dynamically to changing energy use profiles. We investigate
the use of semantic Complex Event Processing (CEP) patterns to model and detect
dynamic situations in a campus microgrid to facilitate adaptive DR. Our focus
is on demand-side management rather than supply-side constraints. Continuous
data from information sources like smart meters and building sensors are
abstracted as event streams. Event patterns for situations that assist with DR
are detected from them. Specifically, we offer a taxonomy of event patterns
that can guide operators to define situations of interest and we illustrate its
efficacy for DR by applying these patterns on realtime events in the USC Campus
microgrid using our CEP framework


title: Branched Hamiltonians and Supersymmetry

abstract:
  Some examples of branched Hamiltonians are explored both classically and in
the context of quantum mechanics, as recently advocated by Shapere and Wilczek.
These are in fact cases of switchback potentials, albeit in momentum space, as
previously analyzed for quasi-Hamiltonian chaotic dynamical systems in a
classical setting, and as encountered in analogous renormalization group flows
for quantum theories which exhibit RG cycles. A basic two-worlds model, with a
pair of Hamiltonian branches related by supersymmetry, is considered in detail.


title:
On finite groups in which coprime commutators are covered by few cyclic
  subgroups

abstract:
  The coprime commutators $\gamma_j^*$ and $\delta_j^*$ were recently
introduced as a tool to study properties of finite groups that can be expressed
in terms of commutators of elements of coprime orders. They are defined as
follows. Let $G$ be a finite group. Every element of $G$ is both a
$\gamma_1^*$-commutator and a $\delta_0^*$-commutator. Now let $j\geq 2$ and
let $X$ be the set of all elements of $G$ that are powers of
$\gamma_{j-1}^*$-commutators. An element $g$ is a $\gamma_j^*$-commutator if
there exist $a\in X$ and $b\in G$ such that $g=[a,b]$ and $(|a|,|b|)=1$. For
$j\geq 1$ let $Y$ be the set of all elements of $G$ that are powers of
$\delta_{j-1}^*$-commutators. The element $g$ is a $\delta_j^*$-commutator if
there exist $a,b\in Y$ such that $g=[a,b]$ and $(|a|,|b|)=1$. The subgroups of
$G$ generated by all $\gamma_j^*$-commutators and all $\delta_j^*$-commutators
are denoted by $\gamma_j^*(G)$ and $\delta_j^*(G)$, respectively. For every
$j\geq2$ the subgroup $\gamma_j^*(G)$ is precisely the last term of the lower
central series of $G$ (which throughout the paper is denoted by
$\gamma_\infty(G)$) while for every $j\geq1$ the subgroup $\delta_j^*(G)$ is
precisely the last term of the lower central series of $\delta_{j-1}^*(G)$,
that is, $\delta_j^*(G)=\gamma_\infty(\delta_{j-1}^*(G))$.
  In the present paper we prove that if $G$ possesses $m$ cyclic subgroups
whose union contains all $\gamma_j^*$-commutators of $G$, then $\gamma_j^*(G)$
contains a subgroup $\Delta$, of $m$-bounded order, which is normal in $G$ and
has the property that $\gamma_{j}^{*}(G)/\Delta$ is cyclic. If $j\geq2$ and $G$
possesses $m$ cyclic subgroups whose union contains all
$\delta_j^*$-commutators of $G$, then the order of $\delta_j^*(G)$ is
$m$-bounded.


title: Agent Approach in Support of Enterprise Application Integration

abstract:
  The present approach highlights the synergies between application integration
and interaction protocols. Since both fields have advanced in different
directions, a number of important technical problems can be addressed by their
proper synthesis. In our previous work, we proposed a methodological approach
based on Interaction Protocols for Enterprise Applica tion Integration (EAI).
This approach permits to specify MAS (Multi-Agent System) interaction
protocols, verify their behavior and use them to integrate multiple business
applications. The result of the proposed approach is a validated interaction
protocol. Based on this protocol, we define in this paper, an agent- based
architecture for the EAI. It includes all the concepts nec- essary to support
communication and coordination mechanisms such as inter-agent and agent-Web
services communication.


title:
Phenomenological studies of the low energy dynamics in the $ppK^+K^-$
  system

abstract:
  In this article we review studies of the near threshold $pp \to ppK^+K^-$
reaction done with the COSY-11 and ANKE detectors. We discuss phenomenological
studies of the $ppK^+K^-$ dynamics, in particular the recent investigations on
the $K^+K^-$ final state interaction are presented.


title: An algebraic view of bacterial genome evolution

abstract:
  Rearrangements of bacterial chromosomes can be studied mathematically at
several levels, most prominently at a local, or sequence level, as well as at a
topological level. The biological changes involved locally are inversions,
deletions, and transpositions, while topologically they are knotting and
catenation. These two modelling approaches share some surprising algebraic
features related to braid groups and Coxeter groups. The structural approach
that is at the core of algebra has long found applications in sciences such as
physics and analytical chemistry, but only in a small number of ways so far in
biology. And yet there are examples where an algebraic viewpoint may capture a
deeper structure behind biological phenomena. This article discusses a family
of biological problems in bacterial genome evolution for which this may be the
case, and raises the prospect that the tools developed by algebraists over the
last century might provide insight to this area of evolutionary biology. .


title:
A novel method for calibration and monitoring of time synchronization of
  TOF-PET scanners by means of cosmic rays

abstract:
  All of the present methods for calibration and monitoring of TOF-PET scanner
detectors utilize radioactive isotopes such as e.g. $^{22}$Na or $^{68}$Ge,
which are placed or rotate inside the scanner. In this article we describe a
novel method based on the cosmic rays application to the PET calibration and
monitoring methods. The concept allows to overcome many of the drawbacks of the
present methods and it is well suited for newly developed TOF-PET scanners with
a large longitudinal field of view. The method enables also monitoring of the
quality of the scintillator materials and in general allows for the continuous
quality assurance of the PET detector performance.


title: J-PET analysis framework for the prototype TOF-PET detector

abstract:
  Novel TOF-PET scanner solutions demand, apart from the state of the art
detectors, software for fast processing of the gathered data, monitoring of the
whole scanner and reconstruction of the PET image. In this article we present
an analysis framework for the novel STRIP-PET scanner developed by the J-PET
collaboration in the Institute of Physics of the Jagiellonian University. This
software is based on the ROOT package used in many particle physics
experiments.