title: Observational constraints on tachyon and DBI inflation

abstract:
  We present a systematic method for evaluation of perturbation observables in
non-canonical single-field inflation models within the slow-roll approximation,
which allied with field redefinitions enables predictions to be established for
a wide range of models. We use this to investigate various non-canonical
inflation models, including Tachyon inflation and DBI inflation. The Lambert
$W$ function will be used extensively in our method for the evaluation of
observables. In the Tachyon case, in the slow-roll approximation the model can
be approximated by a canonical field with a redefined potential, which yields
predictions in better agreement with observations than the canonical
equivalents. For DBI inflation models we consider contributions from both the
scalar potential and the warp geometry. In the case of a quartic potential, we
find a formula for the observables under both non-relativistic and relativistic
behaviour of the scalar DBI inflaton. For a quadratic potential we find two
branches in the non-relativistic case, determined by the competition of model
parameters, while for the relativistic case we find consistency with results
already in the literature. We present a comparison to the latest Planck
satellite observations. Most of the non-canonical models we investigate,
including the Tachyon, are better fits to data than canonical models with the
same potential, but we find that DBI models in the slow-roll regime have
difficulty in matching the data.


title:
Analysis of Farthest Point Sampling for Approximating Geodesics in a
  Graph

abstract:
  A standard way to approximate the distance between any two vertices $p$ and
$q$ on a mesh is to compute, in the associated graph, a shortest path from $p$
to $q$ that goes through one of $k$ sources, which are well-chosen vertices.
Precomputing the distance between each of the $k$ sources to all vertices of
the graph yields an efficient computation of approximate distances between any
two vertices. One standard method for choosing $k$ sources, which has been used
extensively and successfully for isometry-invariant surface processing, is the
so-called Farthest Point Sampling (FPS), which starts with a random vertex as
the first source, and iteratively selects the farthest vertex from the already
selected sources.
  In this paper, we analyze the stretch factor $\mathcal{F}_{FPS}$ of
approximate geodesics computed using FPS, which is the maximum, over all pairs
of distinct vertices, of their approximated distance over their geodesic
distance in the graph. We show that $\mathcal{F}_{FPS}$ can be bounded in terms
of the minimal value $\mathcal{F}^*$ of the stretch factor obtained using an
optimal placement of $k$ sources as $\mathcal{F}_{FPS}\leq 2 r_e^2
\mathcal{F}^*+ 2 r_e^2 + 8 r_e + 1$, where $r_e$ is the ratio of the lengths of
the longest and the shortest edges of the graph. This provides some evidence
explaining why farthest point sampling has been used successfully for
isometry-invariant shape processing. Furthermore, we show that it is
NP-complete to find $k$ sources that minimize the stretch factor.


title: Supersymmetric Dirac Operator on the Noncommutative Geometry

abstract:
  We extend naturally the spectral triple which define noncommutative geometry
(NCG) in order to incorporate supersymmetry and obtain supersymmetric Dirac
operator D_M which acts on Minkowskian manifold. Inversely, we can consider the
projection which reducts D_M to $\not{D}$, the Dirac operator of the original
spectral triple. We investigate properties of the Dirac operator, some of which
are inherited from the original Dirac operator. Z/2 grading and real structure
are also supersymmetrically extended. Using supersymmetric invariant product,
the kinematic terms of chiral and antichiral supermultiplets which represent
the wave functions of matter particles and their superpartners are provided by
D_M. Considering the fluctuation given by elements of the algebra to the
extended Dirac operator, we can expect to obtain vector supermultiplet which
includes gauge field and to obtain super Yang-Mills theory according to the
supersymmetric version of spectral action principle.


title:
Aeppli and Bott-Chern cohomology for bi-generalized Hermitian manifolds
  and $d'd''$-lemma

abstract:
  We define Aeppli and Bott-Chern cohomology for bi-generalized complex
manifolds and show that they are finite dimensional for compact bi-generalized
Hermitian manifolds. For totally bounded double complexes $(A, d', d'')$, we
show that the validity of $d'd''$-lemma is equivalent to having the same
dimension of several cohomology groups. Some calculations of Bott-Chern
cohomology groups of some bi-generalized Hermitian manifolds are given.


title:
Turbulent spots in channel flow: an experimental study Large-scale flow,
  inner structure and low order model

abstract:
  We present new experimental results on the development of turbulent spots in
channel flow. The internal structure of a turbulent spot is measured, with Time
Resolved Stereoscopic Particle Image Velocimetry. We report the observation of
travelling-wave-like structures at the trailing edge of the turbulent spot.
Special attention is paid to the large-scale flow surrounding the spot. We show
that this large-scale flow is an asymmetric quadrupole centred on the spot. We
measure the time evolution of the turbulent fluctuations and the mean flow
distortions and compare these with the predictions of a nonlinear reduced order
model predicting the main features of subcritical transition to turbulence.


title: Nonparametric Bayes dynamic modeling of relational data

abstract:
  Symmetric binary matrices representing relations among entities are commonly
collected in many areas. Our focus is on dynamically evolving binary relational
matrices, with interest being in inference on the relationship structure and
prediction. We propose a nonparametric Bayesian dynamic model, which reduces
dimensionality in characterizing the binary matrix through a lower-dimensional
latent space representation, with the latent coordinates evolving in continuous
time via Gaussian processes. By using a logistic mapping function from the
probability matrix space to the latent relational space, we obtain a flexible
and computational tractable formulation. Employing P\`olya-Gamma data
augmentation, an efficient Gibbs sampler is developed for posterior
computation, with the dimension of the latent space automatically inferred. We
provide some theoretical results on flexibility of the model, and illustrate
performance via simulation experiments. We also consider an application to
co-movements in world financial markets.


title: Nucleon transversity generalized form factors with twisted mass fermions

abstract:
  We present results on the nucleon tensor form factors and first moment of the
transversity distribution using maximally twisted mass fermions. We analyze two
Nf=2+1+1 ensembles having pion masses of 213 MeV and 373 MeV with lattice
spacing a=0.064 fm and a=0.082 fm, respectively. First results using an Nf=2
ensemble of twisted mass fermions with a clover term at a physical pion mass
and lattice spacing a=0.094 fm are also presented. The renormalization function
for the local tensor form factors is evaluated non-perturbatively with a
perturbative subtraction of O(a^2)-terms, while for the first moment of the
transversity we use a perturbative estimate. Results are given in the MS-bar
scheme at a scale of mu=2 GeV, and are compared with recent results obtained
using different discretization schemes.


title: Supersymmetric Yang-Mills Theory on the Noncommutative Geometry

abstract:
  Recently, we found the supersymmetric counterpart of the spectral triple.
When we restrict the representation space to the fermionic functions of matter
fields, the counterpart which we name "the triple" reduces to the original
spectral triple which defines noncommutative geometry. We see that the
fluctuation to the supersymmetric Dirac operator induced by algebra in the
triple generates vector supermultiplet which mediates gauge interaction.
Following the supersymmetric version of spectral action principle, we calculate
the heat kernel expansion of the square of fluctuated Dirac operator and obtain
the correct supersymmetric Yang-Mills action with U(N) gauge symmetry.


title:
Properties of networks with partially structured and partially random
  connectivity

abstract:
  We provide a general formula for the eigenvalue density of large random
$N\times N$ matrices of the form $A = M + LJR$, where $M$, $L$ and $R$ are
arbitrary deterministic matrices and $J$ is a random matrix of zero-mean
independent and identically distributed elements. For $A$ nonnormal, the
eigenvalues do not suffice to specify the dynamics induced by $A$, so we also
provide general formulae for the transient evolution of the magnitude of
activity and frequency power spectrum in an $N$-dimensional linear dynamical
system with a coupling matrix given by $A$. These quantities can also be
thought of as characterizing the stability and the magnitude of the linear
response of a nonlinear network to small perturbations about a fixed point. We
derive these formulae and work them out analytically for some examples of $M$,
$L$ and $R$ motivated by neurobiological models. We also argue that the
persistence as $N\rightarrow\infty$ of a finite number of randomly distributed
outlying eigenvalues outside the support of the eigenvalue density of $A$, as
previously observed, arises in regions of the complex plane $\Omega$ where
there are nonzero singular values of $L^{-1} (z\mathbf{1} - M) R^{-1}$ (for
$z\in\Omega$) that vanish as $N\rightarrow\infty$. When such singular values do
not exist and $L$ and $R$ are equal to the identity, there is a correspondence
in the normalized Frobenius norm (but not in the operator norm) between the
support of the spectrum of $A$ for $J$ of norm $\sigma$ and the
$\sigma$-pseudospectrum of $M$.


title:
Atiyah sequences, connections and Chern-Weil theory for algebraic and
  differentiable stacks

abstract:
  We construct connections and characteristic forms for principal bundles over
groupoids and stacks in the differentiable, holomorphic and algebraic category
using Atiyah sequences associated to transversal tangential distributions.


title:
Steering efficiency of a ultrarelativistic proton beam in a thin bent
  crystal

abstract:
  Crystals with small thickness along the beam exhibit top performance for
steering particle beams through planar channeling. For such crystals, the
effect of nuclear dechanneling plays an important role because it affects their
efficiency. We addressed the problem through experimental work carried out with
400 GeV/c protons at fixed-target facilities of CERN-SPS. The dependence of
efficiency vs. curvature radius has been investigated and compared favourably
to the results of modeling. A realistic estimate of the performance of a
crystal designed for LHC energy including nuclear dechanneling has been
achieved.


title:
Electric-field-induced stress relaxation in alpha-phase poly(vinylidene
  fluoride) films

abstract:
  The relationship between elastic fatigue and electrical cyclic loading in
alpha-phase poly(vinylidene fluoride) films has been investigated. Our
experimental studies have shown that the electric-field-induced fatigue
behavior can be described by a stress relaxation, which belongs to the
Kohlrausch function group, and the corresponding exponent is a modified
two-parameter Weibull distribution function.


title: Sums of units in function fields

abstract:
  Let R be the ring of S-integers of an algebraic function field (in one
variable) over a perfect field, where S is finite and not empty. It is shown
that for every positive integer N there exist elements of R that can not be
written as a sum of at most N units.


title:
Representation type of finite quiver Hecke algebras of type
  $A^{(1)}_{\ell}$ for arbitrary parameters

abstract:
  We give Erdmann-Nakano type theorem for the finite quiver Hecke algebras
$R^{\Lambda_0}(\beta)$ of affine type $A^{(1)}_{\ell}$. Note that each finite
quiver Hecke algebra lies in one parameter family, and the original
Erdmann-Nakano theorem studied the finite quiver Hecke algebra at a special
parameter value. We study the general case in our paper. Our result shows in
particular that their representation type does not depend on the parameter.
Moreover, when the parameter value is nonzero, we show that finite quiver Hecke
algebras of tame representation type are biserial algebras.


title:
Detecting nonlocality of noisy multipartite states with the CHSH
  inequality

abstract:
  The Clauser-Horne-Shimony-Holt inequality was originally proposed as a Bell
inequality to detect nonlocality in bipartite systems. However, it can also be
used to certify the nonlocality of multipartite quantum states. We apply this
to study the nonlocality of multipartite Greenberger-Horne-Zeilinger, W and
graph states under local decoherence processes. We derive lower bounds on the
critical local-noise strength tolerated by GHZ states before becoming local. In
addition, for the whole noisy dynamics, we derive lower bounds on the
corresponding nonlocal content for the three classes of states. All the bounds
presented can be calculated efficiently and, in some cases, provide
significantly tighter estimates than with any other known method. For example,
they reveal that $N$-qubit GHZ states undergoing local dephasing are, for all
$N$, nonlocal throughout all the dephasing dynamics.


title:
Potential of the neutron Lloyd's mirror interferometer for the search
  for new interactions

abstract:
  We discuss the potential of the neutron Lloyd's mirror interferometer in a
search for new interactions at small scales. We consider three hypothetical
interactions that may be tested using the interferometer.
  The chameleon scalar field proposed to solve the enigma of accelerating
expansion of the Universe produces interaction between particles and matter.
The axion-like spin-dependent coupling between neutron and nuclei or/and
electrons may cause P- and T-non-invariant interaction with matter.
Hypothetical non-Newtonian gravitational interactions mediates additional
short-range potential between neutrons and bulk matter. These interactions
between the neutron and the mirror of the Lloyd's type neutron interferometer
cause phase shift of neutron waves.
  We estimate the sensitivity and systematic effects of possible experiments.


title:
De Vries powers: a generalization of Boolean powers for compact
  Hausdorff spaces

abstract:
  We generalize the Boolean power construction to the setting of compact
Hausdorff spaces. This is done by replacing Boolean algebras with de Vries
algebras (complete Boolean algebras enriched with proximity) and Stone duality
with de Vries duality. For a compact Hausdorff space $X$ and a totally ordered
algebra $A$, we introduce the concept of a finitely valued normal function
$f:X\to A$. We show that the operations of $A$ lift to the set $FN(X,A)$ of all
finitely valued normal functions, and that there is a canonical proximity
relation $\prec$ on $FN(X,A)$. This gives rise to the de Vries power
construction, which when restricted to Stone spaces, yields the Boolean power
construction.
  We prove that de Vries powers of a totally ordered integral domain $A$ are
axiomatized as proximity Baer Specker $A$-algebras, those pairs $(S,\prec)$,
where $S$ is a torsion-free $A$-algebra generated by its idempotents that is a
Baer ring, and $\prec$ is a proximity relation on $S$. We introduce the
category of proximity Baer Specker $A$-algebras and proximity morphisms between
them, and prove that this category is dually equivalent to the category of
compact Hausdorff spaces and continuous maps. This provides an analogue of de
Vries duality for proximity Baer Specker $A$-algebras.


title:
Living clusters and crystals from low density suspensions of active
  colloids

abstract:
  Recent studies aimed at investigating artificial analogs of bacterial
colonies have shown that low-density suspensions of self-propelled particles
confined in two dimensions can assemble into finite aggregates that merge and
split, but have a typical size that remains constant (living clusters). In this
Letter we address the problem of the formation of living clusters and crystals
of active particles in three dimensions. We study two systems: self-propelled
particles interacting via a generic attractive potential and colloids that can
move towards each other as a result of active agents (e.g. by molecular
motors). In both cases fluid-like `living' clusters form. We explain this
general feature in terms of the balance between active forces and regression to
thermodynamic equilibrium. This balance can be quantified in terms of a
dimensionless number that allows us to collapse the observed clustering
behaviour onto a universal curve. We also discuss how active motion affects the
kinetics of crystal formation.


title: Microscopic theory of tunneling spectroscopy in Sr$_2$RuO$_4$

abstract:
  We study the surface Andreev bound state (ABS) of superconducting
Sr$_2$RuO$_4$, which is a candidate material for the realization of the chiral
$p$-wave superconducting state. In order to clarify the role of chiral edge
modes as ABSs, the surface density of states and the tunneling conductance is
calculated in the normal metal/Sr$_2$RuO$_4$ junction within the framework of
recursive Green's function method, while taking into account the orbital
degrees of freedom (including Spin-Orbit interactions) with realistic material
parameters. In Sr$_2$RuO$_4$, there are two bands $\alpha$ and $\beta$
originating from quasi-one-dimensional orbitals $d_{yz}$ and $d_{zx}$ and a
two-dimensional band $\gamma$ originating from $d_{xy}$ orbital. We discuss
about the contributions of various electronic bands to LDOS and the influence
of atomic spin-orbit interaction (SOI). In the light of our calculations,
quasi-one-dimensional model with dominant pair potentials in $\alpha$ and
$\beta$ bands is consistent with conductance measurements in
Au/Sr$_{2}$RuO$_{4}$ junctions.


title: Sums of units in function fields II - The extension problem

abstract:
  In 2007, Jarden and Narkiewicz raised the following question: Is it true that
each algebraic number field has a finite extension L such that the ring of
integers of L is generated by its units (as a ring)? In this article, we answer
the analogous question in the function field case.
  More precisely, it is shown that for every finite non-empty set S of places
of an algebraic function field F | K over a perfect field K, there exists a
finite extension F' | F, such that the integral closure of the ring of
S-integers of F in F' is generated by its units (as a ring).


title:
Zero temperature properties of mesons and baryons from an extended
  linear sigma-model

abstract:
  An extended linear sigma model with mesons (q\bar{q} states) and baryons (qqq
states) is presented. The model contains a low energy multiplet for every
hadronic particle type, namely a scalar, a pseudoscalar, a vector, and an
axialvector nonet, an baryon octet and a baryon decuplet. The model parameters
are determined through a multiparametric minimalization with the help of well
known physical quantities. It is found that the considered zero temperature
quantities (masses and decay widths) can be described well at tree-level and
are in good agreement with the experimental data.


title: Weak compactness and strongly summing multilinear operators

abstract:
  Every absolutely summing linear operator is weakly compact. However, for
strongly summing multilinear operators and polynomials - one of the most
natural extensions of the linear case to the non linear framework - weak
compactness does not hold in general. We show that a subclass of the class of
strongly summing multilinear operators/polynomials, sharing its main properties
such as Grothendieck's Theorem, Pietsch Domination Theorem and Dvoretzky-Rogers
Theorem, has even better properties like weak compactness and a natural
factorization theorem.


title:
Stability Regions of Equilibrium Points in Restricted Four-Body Problem
  with Oblateness Effects

abstract:
  In this paper, we extend the basic model of the restricted four-body problem
introducing two bigger dominant primaries $m_1$ and $m_2$ as oblate spheroids
when masses of the two primary bodies ($m_2$ and $m_3$) are equal. The aim of
this study is to investigate the use of zero velocity surfaces and the
Poincar\'{e} surfaces of section to determine the possible allowed boundary
regions and the stability orbit of the equilibrium points. According to
different values of Jacobi constant $C$, we can determine boundary region where
the particle can move in possible permitted zones. The stability regions of the
equilibrium points expanded due to presence of oblateness coefficient and
various values of $C$, whereas for certain range of $t$ ($100 \le t \le 200$),
orbits form a shape of cote's spiral. For different values of oblateness
parameters $A_1~ (0<A_1<1)$ and $A_2~ (0<A_2<1)$, we obtain two collinear and
six non-collinear equilibrium points. The non-collinear equilibrium points are
stable when the mass parameter $\mu$ lies in the interval
($0.0190637,~0.647603$). However, basins of attraction are constructed with the
help of Newton Raphson method to demonstrate the convergence as well as
divergence region of the equilibrium points. The nature of basins of attraction
of the equilibrium points are less effected in presence and absence of
oblateness coefficients $A_1$ and $A_2$ respectively in the proposed model.


title: Three-generation Asymmetric Orbifold Models from Heterotic String Theory

abstract:
  Using Z3 asymmetric orbifolds in heterotic string theory, we construct N=1
SUSY three-generation models with the standard model gauge group SU(3)_C \times
SU(2)_L \times U(1)_Y and the left-right symmetric group SU(3)_C \times SU(2)_L
\times SU(2)_R \times U(1)_{B-L}. One of the models possesses a gauge flavor
symmetry for the Z3 twisted matter.


title: Evolutionary Design in Biological Quantum Computing

abstract:
  The unique capability of quantum mechanics to evolve alternative
possibilities in parallel is appealing and over the years a number of quantum
algorithms have been developed offering great computational benefits. Systems
coupled to the environment lose quantum coherence quickly and realization of
schemes based on unitarity might be impossible. Recent discovery of room
temperature quantum coherence in light harvesting complexes opens up new
possibilities to borrow concepts from biology to use quantum effects for
computational purposes. While it has been conjectured that light harvesting
complexes such as the Fenna-Matthews-Olson (FMO) complex in the green sulfur
bacteria performs an efficient quantum search similar to the quantum Grover's
algorithm the analogy has yet to be established.
  In this work we show that quantum dissipation plays an essential role in the
quantum search performed in the FMO complex and it is fundamentally different
from known algorithms. In the FMO complex not just the optimal level of phase
breaking is present to avoid both quantum localization and Zeno trapping but it
can harness quantum dissipation as well to speed the process even further up.
With detailed quantum calculations taking into account both phase breaking and
quantum dissipation we show that the design of the FMO complex has been
evolutionarily optimized and works faster than pure quantum or
classical-stochastic algorithms. Inspired by the findings we introduce a new
computational concept based on decoherent quantum evolution. While it is
inspired by light harvesting systems, the new computational devices can also be
realized on different material basis opening new magnitude scales for
miniaturization and speed.


title: Compound cryopump for fusion reactors

abstract:
  We reconsider an old idea: a three-stage compound cryopump for use in fusion
reactors such as DEMO. The helium "ash" is adsorbed on a 4.5 K charcoal-coated
surface, while deuterium and tritium are adsorbed at 15-22 K on a second
charcoal-coated surface. The helium is released by raising the first surface to
~30 K. In a separate regeneration step, deuterium and tritium are released at
~110 K. In this way, the helium can be pre-separated from other species. In the
simplest design, all three stages are in the same vessel, with a single valve
to close the pump off from the tokamak during regeneration. In an alternative
design, the three stages are in separate vessels, connected by valves, allowing
the stages to regenerate without interfering with each other. The inclusion of
the intermediate stage would not affect the overall pumping speed
significantly. The downstream exhaust processing system could be scaled down,
as much of the deuterium and tritium could be returned directly to the reactor.
This could reduce the required tritium reserve by almost 90%. We used a
well-established free Direct Simulation Monte Carlo (DSMC) code, DS2V. At very
high upstream densities (~1020 molecules/m3 and above) the flow into the pump
is choked. Enlarging the aperture is the only way to increase the pumping speed
at high densities. Ninety percent of the deuterium and tritium is successfully
trapped at 15 K (assuming that the sticking coefficient is 80-100% on the 15-22
K surface). On the other hand, the remaining 10% still exceeds the small amount
of helium in the gas input.


title:
Multiple Excitation of Confined Graphene Plasmons by Single Free
  Electrons

abstract:
  We show that free electrons can efficiently excite plasmons in doped graphene
with probabilities of order one per electron. More precisely, we predict
multiple excitations of a single confined plasmon mode in graphene
nanostructures. These unprecedentedly large electron-plasmon couplings are
explained using a simple scaling law and further investigated through a general
quantum description of the electron-plasmon interaction. From a fundamental
viewpoint, multiple plasmon excitations by a single electron provides a unique
tool for exploring the bosonic quantum nature of these collective modes. Our
study does not only open a viable path towards multiple excitation of a single
plasmon mode by single electrons, but it also reveals graphene nanostructures
as ideal systems for producing, detecting, and manipulating plasmons using
electron probes.


title:
Charge dynamics in molecular junctions: Nonequilibrium Green's Function
  approach made fast

abstract:
  Real-time Green's function simulations of molecular junctions (open quantum
systems) are typically performed by solving the Kadanoff-Baym equations (KBE).
The KBE, however, impose a serious limitation on the maximum propagation time
due to the large memory storage needed. In this work we propose a simplified
Green's function approach based on the Generalized Kadanoff-Baym Ansatz (GKBA)
to overcome the KBE limitation on time, significantly speed up the
calculations, and yet stay close to the KBE results. This is achieved through a
twofold advance: first we show how to make the GKBA work in open systems and
then construct a suitable quasi-particle propagator that includes correlation
effects in a diagrammatic fashion. We also provide evidence that our GKBA
scheme, although already in good agreement with the KBE approach, can be
further improved without increasing the computational cost.


title: Protecting qutrit-qutrit entanglement by weak measurement and reversal

abstract:
  Entangled states in high dimensional systems are of great interest due to the
extended possibilities they provide in quantum information processing.
Recently, Sun et al. [Phys. Rev. A 82, 052323 (2010)] and Kim et al. [Nat.
Phys. 8, 117 (2012)] pointed out that weak measurement and quantum weak
measurement reversal can actively combat decoherence. We generalize their
studies from qubits to qutrits under amplitude damping decoherence. We find
that the qutrit-qutrit entanglement can be partially retrieved for certain
initial states when only weak measurement reversals are performed. However, we
can completely defeat amplitude damping decoherence for any initial states by
the combination of prior weak measurements and post optimal weak measurement
reversals. The experimental feasibility of our schemes is also discussed.


title:
Hydrodynamic theory of motion of quantized vortex rings in trapped
  superfluid gases

abstract:
  I study vortex ring oscillations in a superfluid, trapped in an elongated
trap, under the conditions of the Local Density Approximation. On the basis of
the Hamiltonian formalism I develop a hydrodynamic theory, which is valid for
an arbitrary superfluid and depends only on the equation of state. The problem
is reduced to an ordinary differential equation for the ring radius. The cases
of the dilute BEC and the Fermi gas at unitarity are investigated in detail.
Simple analytical equations for the periods of small oscillations are obtained
and the equations of non-linear dynamics are solved in quadratures. The results
agree with available numerical calculations. Experimental possibilities to
check the predictions are discussed.


title:
Measurement of the $T_{\rm CMB}$ evolution from the Sunyaev-Zel'dovich
  effect

abstract:
  In the standard hot cosmological model, the black-body temperature of the
Cosmic Microwave Background (CMB), $T_{\rm CMB}$, increases linearly with
redshift. Across the line of sight CMB photons interact with the hot
($\sim10^{7-8}$ K) and diffuse gas of electrons from galaxy clusters. This
interaction leads to the well known thermal Sunyaev-Zel'dovich effect (tSZ),
which produces a distortion of the black-body emission law, depending on
$T_{\rm CMB}$. Using tSZ data from the ${\it Planck}$ satellite it is possible
to constrain $T_{\rm CMB}$ below z=1. Focusing on the redshift dependance of
$T_{\rm CMB}$ we obtain $T_{\rm CMB}(z)=(2.726\pm0.001)\times (1+z)^{1-\beta}$
K with $\beta=0.009\pm0.017$, improving previous constraints. Combined with
measurements of molecular species absorptions, we derive $\beta=0.006\pm0.013$.
These constraints are consistent with the standard (i.e. adiabatic, $\beta=0$)
Big-Bang model.


title:
Hyperelliptic curves over $\mathbb{F}_q$ and Gaussian hypergeometric
  series

abstract:
  Let $d\geq2$ be an integer. Denote by $E_d$ and $E'_{d}$ the hyperelliptic
curves over $\mathbb{F}_q$ given by $$E_d: y^2=x^d+ax+b~~~ \text{and} ~~~E'_d:
y^2=x^d+ax^{d-1}+b,$$ respectively. We explicitly find the number of
$\mathbb{F}_q$-points on $E_d$ and $E'_d$ in terms of special values of
${_{d}}F_{d-1}$ and ${_{d-1}}F_{d-2}$ Gaussian hypergeometric series with
characters of orders $d-1$, $d$, $2(d-1)$, $2d$, and $2d(d-1)$ as parameters.
This gives a solution to a problem posed by Ken Ono \cite[p. 204]{ono2} on
special values of ${_{n+1}}F_n$ Gaussian hypergeometric series for $n > 2$. We
also show that the results of Lennon \cite{lennon1} and the authors \cite{BK3}
on trace of Frobenius of elliptic curves follow from the main results.


title: A deformation of quantum affine algebra in squashed WZNW models

abstract:
  We proceed to study infinite-dimensional symmetries in two-dimensional
squashed Wess-Zumino-Novikov-Witten (WZNW) models at the classical level. The
target space is given by squashed S^3 and the isometry is SU(2)_L x U(1)_R. It
is known that SU(2)_L is enhanced to a couple of Yangians. We reveal here that
an infinite-dimensional extension of U(1)_R is a deformation of quantum affine
algebra, where a new deformation parameter is provided with the coefficient of
the Wess-Zumino term. Then we consider the relation between the deformed
quantum affine algebra and the pair of Yangians from the viewpoint of the
left-right duality of monodromy matrices. The integrable structure is also
discussed by computing the r/s-matrices that satisfy the extended classical
Yang-Baxter equation. Finally two degenerate limits are discussed.


title:
Interpreting the peak structures around 1800 MeV in the BES data on
  $J/\Psi \to \phi \pi^+ \pi^-$, $J/\Psi\to \gamma \omega \phi$

abstract:
  In this talk we present an interpretation for the experimental data available
on two different processes, namely, $J/\Psi \to \phi \pi^+ \pi^-$, $J/\Psi\to
\gamma \omega \phi$, which seem to indicate existence of two new resonances
with the same quantum numbers ($J^{\pi c}=0^{++}, I = 0$) and very similar mass
(~1800 MeV) but with very different decay properties. However, our studies show
that the peak structure found in the $\omega \phi$ invariant mass, in $J/\Psi
\to \gamma \omega \phi$, is a manifestation of the well known $f_0(1710)$ while
the cross section enhancement found in $J/\Psi \to \phi \pi^+ \pi^-$ is indeed
a new $f_0$ resonance with mass near 1800 MeV. We present an explanation for
the different decay properties of these two scalar resonances.


title:
A central limit theorem for Latin hypercube sampling with dependence and
  application to exotic basket option pricing

abstract:
  We consider the problem of estimating $\mathbb{E} [f(U^1, \ldots, U^d)]$,
where $(U^1, \ldots, U^d)$ denotes a random vector with uniformly distributed
marginals. In general, Latin hypercube sampling (LHS) is a powerful tool for
solving this kind of high-dimensional numerical integration problem. In the
case of dependent components of the random vector $(U^1, \ldots, U^d)$ one can
achieve more accurate results by using Latin hypercube sampling with dependence
(LHSD). We state a central limit theorem for the $d$-dimensional LHSD
estimator, by this means generalising a result of Packham and Schmidt.
Furthermore we give conditions on the function $f$ and the distribution of
$(U^1, \ldots, U^d)$ under which a reduction of variance can be achieved.
Finally we compare the effectiveness of Monte Carlo and LHSD estimators
numerically in exotic basket option pricing problems.


title:
Crossing the Gribov horizon: an unconventional study of geometric
  properties of gauge-configuration space in Landau gauge

abstract:
  We prove a lower bound for the smallest nonzero eigenvalue of the
Landau-gauge Faddeev-Popov matrix in Yang-Mills theories. The bound is written
in terms of the smallest nonzero momentum on the lattice and of a parameter
characterizing the geometry of the first Gribov region. This allows a simple
and intuitive description of the infinite-volume limit in the ghost sector. In
particular, we show how nonperturbative effects may be quantified by the rate
at which typical thermalized and gauge-fixed configurations approach the Gribov
horizon. Our analytic results are verified numerically in the SU(2) case
through an informal, free and easy, approach. This analysis provides the first
concrete explanation of why the so-called scaling solution of the
Dyson-Schwinger equations is not observed in lattice studies.


title:
Anomalous Consistency in Mild Cognitive Impairment: a complex networks
  approach

abstract:
  Increased variability in performance has been associated with the emergence
of several neurological and psychiatric pathologies. However, whether and how
consistency of neuronal activity may also be indicative of an underlying
pathology is still poorly understood. Here we propose a novel method for
evaluating consistency from non-invasive brain recordings. We evaluate the
consistency of the cortical activity recorded with magnetoencephalography in a
group of subjects diagnosed with Mild Cognitive Impairment (MCI), a condition
sometimes prodromal of dementia, during the execution of a memory task. We use
metrics coming from nonlinear dynamics to evaluate the consistency of cortical
regions. A representation known as (parenclitic networks) is constructed, where
atypical features are endowed with a network structure, the topological
properties of which can be studied at various scales. Pathological conditions
correspond to strongly heterogeneous networks, whereas typical or normative
conditions are characterized by sparsely connected networks with homogeneous
nodes. The analysis of this kind of networks allows identifying the extent to
which consistency is affecting the MCI group and the focal points where MCI is
specially severe. To the best of our knowledge, these results represent the
first attempt at evaluating the consistency of brain functional activity using
complex networks theory.


title:
Phonons, Nature of Bonding and Their Relation to Anomalous Thermal
  Expansion Behavior of M2O (M=Au, Ag, Cu)

abstract:
  We report a comparative study of the dynamics of Cu2O, Ag2O and Au2O (i.e.
M2O with M = Au, Ag and Cu) using first principle calculations based on the
density functional theory. Here for the first time we show that the nature of
chemical bonding and open space in the unit cell are directly related to the
magnitude of thermal expansion coefficient. A good match between the calculated
phonon density of states and that derived from inelastic neutron scattering
measurements is obtained for Cu2O and Ag2O. The calculated thermal expansions
of Ag2O and Cu2O are negative, in agreement with available experimental data,
while it is found to be positive for Au2O. We identify the low energy phonon
modes responsible for this anomalous thermal expansion. We further calculate
the charge density in the three compounds and find that the magnitude of the
ionic character of the Ag2O, Cu2O, and Au2O crystals is in decreasing order,
with an Au-O bond of covalent nature strongly rigidifying the Au4O tetrahedral
units. The nature of the chemical bonding is also found to be an important
ingredient to understand the large shift of the phonon frequencies of these
solids with pressure and temperature. In particular, the quartic component of
the anharmonic term in the crystal potential is able to account for the
temperature dependence of the phonon modes.


title:
Bounded imaginary powers of cone differential operators on higher order
  Mellin-Sobolev spaces and applications to the Cahn-Hilliard equation

abstract:
  Extending earlier results on the existence of bounded imaginary powers for
cone differential operators on weighted $L^p$-spaces
$\mathcal{H}^{0,\gamma}_p(\mathbb{B})$ over a manifold with conical
singularities, we show how the same assumptions also yield the existence of
bounded imaginary powers on higher order Mellin-Sobolev spaces
$\mathcal{H}^{s,\gamma}_p(\mathbb{B})$, $s\geq0$. As an application we then
consider the Cahn-Hilliard equation on a manifold with (possibly warped)
conical singularities. Relying on our work for the case of straight cones, we
first establish $R$-sectoriality (and thus maximal regularity) for the
linearized equation and then deduce the existence of a short time solution with
the help of a theorem by Cl\'ement and Li. We also obtain the short time
asymptotics of the solution near the conical point.


title: Constructions of Snake-in-the-Box Codes for Rank Modulation

abstract:
  Snake-in-the-box code is a Gray code which is capable of detecting a single
error. Gray codes are important in the context of the rank modulation scheme
which was suggested recently for representing information in flash memories.
For a Gray code in this scheme the codewords are permutations, two consecutive
codewords are obtained by using the "push-to-the-top" operation, and the
distance measure is defined on permutations. In this paper the Kendall's
$\tau$-metric is used as the distance measure. We present a general method for
constructing such Gray codes. We apply the method recursively to obtain a snake
of length $M_{2n+1}=((2n+1)(2n)-1)M_{2n-1}$ for permutations of $S_{2n+1}$,
from a snake of length $M_{2n-1}$ for permutations of~$S_{2n-1}$. Thus, we have
$\lim\limits_{n\to \infty} \frac{M_{2n+1}}{S_{2n+1}}\approx 0.4338$, improving
on the previous known ratio of $\lim\limits_{n\to \infty} \frac{1}{\sqrt{\pi
n}}$. By using the general method we also present a direct construction. This
direct construction is based on necklaces and it might yield snakes of length
$\frac{(2n+1)!}{2} -2n+1$ for permutations of $S_{2n+1}$. The direct
construction was applied successfully for $S_7$ and $S_9$, and hence
$\lim\limits_{n\to \infty} \frac{M_{2n+1}}{S_{2n+1}}\approx 0.4743$.


title:
Gauge invariant Barr-Zee type contributions to fermionic EDMs in the
  two-Higgs doublet models

abstract:
  We calculate all gauge invariant Barr-Zee type contributions to fermionic
electric dipole moments (EDMs) in the two-Higgs doublet models (2HDM) with
softly broken Z2 symmetry. We start by studying the tensor structure of h to
VV' part in the Barr-Zee diagrams, and we calculate the effective couplings in
a gauge invariant way by using the pinch technique. Then we calculate all
Barr-Zee diagrams relevant for electron and neutron EDMs. We make bounds on the
parameter space in type-I, type-II, type-X, and type-Y 2HDMs. The electron and
neutron EDMs are complementary to each other in discrimination of the 2HDMs.
Type-II and type-X 2HDMs are strongly constrained by recent ACME experiment's
result, and future experiments of electron and neutron EDMs may search O(10)
TeV physics.


title:
Invariant foliations for stochastic partial differential equations with
  dynamic boundary conditions

abstract:
  Invariant foliations are complicated random sets useful for describing and
understanding the qualitative behaviors of nonlinear dynamical systems. We will
consider invariant foliations for stochastic partial differential equation with
dynamical boundary condition.


title: Patterns of positive selection in seven ant genomes

abstract:
  The evolution of ants is marked by remarkable adaptations that allowed the
development of very complex social systems. To identify how ant-specific
adaptations are associated with patterns of molecular evolution, we searched
for signs of positive selection on amino-acid changes in proteins. We
identified 24 functional categories of genes which were enriched for positively
selected genes in the ant lineage. We also reanalyzed genome-wide datasets in
bees and flies with the same methodology, to check whether positive selection
was specific to ants or also present in other insects. Notably, genes
implicated in immunity were enriched for positively selected genes in the three
lineages, ruling out the hypothesis that the evolution of hygienic behaviors in
social insects caused a major relaxation of selective pressure on immune genes.
Our scan also indicated that genes implicated in neurogenesis and olfaction
started to undergo increased positive selection before the evolution of
sociality in Hymenoptera. Finally, the comparison between these three lineages
allowed us to pinpoint molecular evolution patterns that were specific to the
ant lineage. In particular, there was ant-specific recurrent positive selection
on genes with mitochondrial functions, suggesting that mitochondrial activity
was improved during the evolution of this lineage. This might have been an
important step toward the evolution of extreme lifespan that is a hallmark of
ants.


title: Markov complexity of monomial curves

abstract:
  Let $\mathcal{A}=\{{\bf a}_1,\ldots,{\bf a}_n\}\subset\Bbb{N}^m$. We give an
algebraic characterization of the universal Markov basis of the toric ideal
$I_{\mathcal{A}}$. We show that the Markov complexity of
$\mathcal{A}=\{n_1,n_2,n_3\}$ is equal to two if $I_{\mathcal{A}}$ is complete
intersection and equal to three otherwise, answering a question posed by Santos
and Sturmfels. We prove that for any $r\geq 2$ there is a unique minimal Markov
basis of $\mathcal{A}^{(r)}$. Moreover, we prove that for any integer $l$ there
exist integers $n_1,n_2,n_3$ such that the Graver complexity of $\mathcal{A}$
is greater than $l$.


title: `Analytic Continuation' of N=2 Minimal Model

abstract:
  In this paper we discuss what theory should be identified as the `analytic
continuation' with $N \rightarrow -N$ of the ${\cal N}=2$ minimal model with
the central charge $\hat{c} = 1 - \frac{2}{N}$. We clarify how the elliptic
genus of the expected model is written in terms of {\em holomorphic\/} linear
combinations of the `modular completions' introduced in [arXiv:1012.5721
[hep-th]] in the $SL(2)_{N+2}/U(1)$-supercoset theory. We further discuss how
this model could be interpreted as a kind of {\em `compactified'} model of the
$SL(2)_{N+2}/U(1)$-supercoset in the $(\tilde{R},\tilde{R})$-sector, in which
only the discrete spectrum appears in the torus partition function and the
potential IR-divergence due to the non-compactness of target space is removed.
We also briefly argue on possible definitions of the sectors with other spin
structures.


title:
Differences between real and particle-in-cell plasmas: effects of
  coarse-graining

abstract:
  The PIC model relies on two building blocks. The first stems from the
capability of computers to handle only up to $\sim10^{10}$ particles, while
real plasmas contain from $10^4$ to $10^{20}$ particles per Debye sphere: a
coarse-graining step must be used, whereby of the order of $p\sim10^{10}$ real
particles are represented by a single computer superparticle. The second is
field storage on a grid with its subsequent finite superparticle size. We
introduce the notion of coarse-graining dependent quantities, i.e. physical
quantities depending on the number $p$. They all derive from the plasma
parameter $\Lambda$, which we show to be proportional to $1/p$.
  We explore three examples: the rapid collision- and fluctuation-induced
thermalization of plasmas with different temperatures, that scale with the
number of superparticles per grid cell and are a factor $p\sim10^{10}$ faster
than in real plasmas; the high level of electrostatic fluctuations in a thermal
plasma, with corrections due to the finite superparticle sizes; and the
blurring of the linear spectrum of the filamentation instability, where the
fastest growing modes do not dominate the total energy because of a high level
of fluctuations.
  We stress that the enhanced collisions and correlations of PIC plasmas must
be kept negligible toward kinetic physics.


title:
The disappearance of a narrow Mg II absorption system in quasar SDSS
  J165501.31+260517.4

abstract:
  In this letter, we present for the first time, the discovery of the
disappearance of a narrow Mg II $\lambda\lambda2796,2803$ absorption system
from the spectra of quasar SDSS J165501.31+260517.4 ($z_{\rm e}=1.8671$). This
absorber is located at $z_{\rm abs} =1.7877$, and has a velocity offset of
$8,423\rm ~km~s^{-1}$ with respect to the quasar. According to the velocity
offset and the line variability, this narrow Mg II $\lambda\lambda2796,2803$
absorption system is likely intrinsic to the quasar. Since the corresponding UV
continuum emission and the absorption lines of another narrow Mg II
$\lambda\lambda2796,2803$ absorption system at $z_{\rm abs}=1.8656$ are very
stable, we think that the disappearance of the absorption system is unlikely to
be caused by the change in ionization of absorption gas. Instead, it likely
arises from the motion of the absorption gas across the line of sight.


title:
Enhanced compressibility due to repulsive interaction in the Harper
  model

abstract:
  We study the interplay between repulsive interaction and an almost staggered
on-site potential in one-dimension. Specifically, we address the Harper model
for spinless fermions with nearest-neighbor repulsion, close to half-filling.
Using density matrix renormalization group (DMRG), we find that, in contrast to
standard behavior, the system becomes more compressible as the repulsive
interaction is increased. By generating a low-energy effective model, we unveil
the effect of interactions using mean-field analysis: the density of a narrow
band around half-filling is anti-correlated with the on-site potential, whereas
the density of lower occupied bands follows the potential and strengthens it.
As a result, the states around half-filling are squeezed by the background
density, their band becomes flatter, and the compressibility increases.


title:
Euclidean Dynamical Triangulation revisited: is the phase transition
  really first order?

abstract:
  The transition between the two phases of 4D Euclidean Dynamical Triangulation
[1] was long believed to be of second order until in 1996 first order behavior
was found for sufficiently large systems [3,4]. However, one may wonder if this
finding was affected by the numerical methods used: to control volume
fluctuations, in both studies [3,4] an artificial harmonic potential was added
to the action; in [4] measurements were taken after a fixed number of accepted
instead of attempted moves which introduces an additional error. Finally the
simulations suffer from strong critical slowing down which may have been
underestimated.
  In the present work, we address the above weaknesses: we allow the volume to
fluctuate freely within a fixed interval; we take measurements after a fixed
number of attempted moves; and we overcome critical slowing down by using an
optimized parallel tempering algorithm [6]. With these improved methods, on
systems of size up to 64k 4-simplices, we confirm that the phase transition is
first order.


title:
Statistical classification of gamma-ray bursts based on the Amati
  relation

abstract:
  Gamma-ray bursts (GRBs) are believed to belong to two classes and they are
conventionally divided according to their durations. This classification scheme
is not satisfied due to the fact that duration distributions of the two classes
are heavily overlapped. We collect a new sample (153 sources) of GRBs and
investigate the distribution of the logarithmic deviation of the $E_p$ value
from the Amati relation. The distribution possesses an obvious bimodality
structure and it can be accounted for by the combination of two Gaussian
curves. Based on this analysis, we propose to statistically classify GRBs in
the well-known $E_{p}$ vs. $E_{iso}$ plane with the logarithmic deviation of
the $E_p$ value. This classification scheme divides GRBs into two groups: Amati
type bursts and non-Amati type bursts. While Amati type bursts well follow the
Amati relation, non-Amati type bursts do not. It shows that most Amati type
bursts are long duration bursts and the majority of non-Amati type bursts are
short duration bursts. In addition, it reveals that Amati type bursts are
generally more energetic than non-Amati type bursts. An advantage of the new
classification is that the two kinds of burst are well distinguishable and
therefore their members can be identified in certainty.


title: AdS/CFT for 3D Higher-Spin Gravity Coupled to Matter Fields

abstract:
  New holographic prescription for the model of 3d higher-spin gravity coupled
to real matter fields $B_{\mu\nu}$ and $C$, which was introduced in
ArXiv:1304.7941[hep-th], is formulated. By using a local symmetry, two of the
components of $B_{\mu\nu}$ are eliminated, and gauge-fixing conditions are
imposed such that the non-vanishing component, $B_{\phi\rho}$, satisfies a
covariantly-constancy condition in the background of Chern-Simons gauge fields
$A_{\mu}$, $\bar{A}_{\mu}$. In this model, solutions to the classical equations
of motion for $A_{\mu}$ and $\bar{A}_{\mu}$ are non-flat due to the
interactions with matter fields. The solutions for the gauge fields can,
however, be split into two parts, flat gauge fields ${\cal A}_{\mu}$,
$\bar{{\cal A}}_{\mu}$, and those terms that depend on the matter fields. The
equations for the matter fields then coincide with covariantly-constancy
equations in the flat backgrounds ${\cal A}_{\mu}$ and $\bar{{\cal A}}_{\mu}$,
which are exactly the same as those in linearized 3d Vasiliev gravity. The two-
and three-point correlation functions of operators in the boundary CFT are
computed by using an on-shell action, $ \text{tr}\, (B_{\phi\rho} \, C)$. This
term does not depend on coordinates due to the matter equations of motion, and
it is not necessary to take the near-boundary limit $\rho \rightarrow \infty$.
Analysis is presented for SL(3,R) $\times$ SL(3,R) as well as $HS[\frac{1}{2}]
\times HS[\frac{1}{2}]$ higher-spin gravity. In the latter model, scalar
operators with scaling dimensions $\Delta_+=\frac{3}{2}$ and
$\Delta_-=\frac{1}{2}$ appear in a single quantization.


title: Every-user delay guarantee for wireless multiple access systems

abstract:
  The quality of service (QoS) requirements are usually different from user to
user in a multiaccess system, and it is necessary to take the different
requirements into account when allocating the shared resources of the system.
In this paper, we consider one QoS criterion--delay in a multiaccess system,
and we combine information theory and queueing theory in an attempt to analyze
whether a multiaccess system can meet the different delay requirements of
users. For users with the same transmission power, we prove that only $N$
inequalities are necessary for the checking, and for users with different
transmission powers, we provide a polynomial-time algorithm for such a
decision. In cases where the system cannot satisfy the delay requirements of
all users, we prove that as long as the sum power is larger than a threshold,
there is always an approach to adjust the transmission power of each user to
make the system delay feasible if power reallocation is available.


title: Synthetic helical liquid in a quantum wire

abstract:
  We show that the combination of a Dresselhaus interaction and a spatially
periodic Rashba interaction leads to the formation of a helical liquid in a
quantum wire when the electron-electron interaction is weakly screened. The
effect is sustained by a helicity-dependent effective band gap which depends on
the size of the Dresselhaus and Rashba spin-orbit couplings. We propose a
design for a semiconductor device in which the helical liquid can be realized
and probed experimentally.


title: Thomae Formulae for General Fully Ramified $Z_{n}$ Curves

abstract:
  We generalize the elementary methods presented in several examples in the
book \cite{[FZ]} to obtain the Thomae formulae for general fully ramified
$Z_{n}$ curves.


title:
A new family of efficient conforming mixed finite elements on both
  rectangular and cuboid meshes for linear elasticity in the symmetric
  formulation

abstract:
  A new family of mixed finite elements is proposed for solving the classical
Hellinger-Reissner mixed problem of the elasticity equations. For two
dimensions, the normal stress of the matrix-valued stress field is approximated
by an enriched Brezzi-Douglas-Fortin-Marini element of order $k$, and the shear
stress by the serendipity element of order $k$, the displacement field by an
enriched discontinuous vector-valued $P_{k-1}$ element. The degrees of freedom
on each element of the lowest order element, which is of first order, is $10$
plus $4$. For three dimensions, the normal stress is approximated by an
enriched Raviart-Thomas element of order $k$, and each component of the shear
stress by a product space of the serendipity element space of two variables and
the space of polynomials of degree $\leq k-1$ with respect to the rest
variable, the displacement field by an enriched discontinuous vector-valued
$Q_{k-1}$ element. The degrees of freedom on each element of the lowest order
element, which is of first order, is $21$ plus $6$. A family of reduced
elements is also proposed by dropping some interior bubble functions of the
stress and employing the discontinuous vector-valued $P_{k-1}$ (resp.
$Q_{k-1}$) element for the displacement field on each element. As a result the
lowest order elements have $8$ plus $2$ and $18$ plus $3$ degrees of freedom on
each element for two and three dimensions, respectively.
  The well-posedness condition and the optimal a priori error estimate are
proved for this family of finite elements. Numerical tests are presented to
confirm the theoretical results.


title:
Dynamics of broken symmetry nodal and anti-nodal excitations in Bi_{2}
  Sr_{2} CaCu_{2} O_{8+\delta} probed by polarized femtosecond spectroscopy

abstract:
  The dynamics of excitations with different symmetry is investigated in the
superconducting (SC) and normal state of the high-temperature superconductor
Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+\delta}$ (Bi2212) using optical pump-probe (Pp)
experiments with different light polarizations at different doping levels. The
observation of distinct selection rules for SC excitations, present in A$_{{\rm
1g}}$ and B$_{{\rm 1g}}$ symmetries, and for the PG excitations, present in
A$_{{\rm 1g}}$ and B$_{{\rm 2g}}$ symmetries, by the probe and absence of any
dependence on the pump beam polarization leads to the unequivocal conclusion of
the existence of a spontaneous spatial symmetry breaking in the pseudogap (PG)
state.


title:
Algebraic K-theory, K-regularity, and T-duality of
  $\mathcal{O}_\infty$-stable $C^*$-algebras

abstract:
  We develop an algebraic formalism for topological $\mathbb{T}$-duality. More
precisely, we show that topological $\mathbb{T}$-duality actually induces an
isomorphism between noncommutative motives that in turn implements the
well-known isomorphism between twisted K-theories (up to a shift). In order to
establish this result we model topological K-theory by algebraic K-theory. We
also construct an $E_\infty$-operad starting from any strongly self-absorbing
$C^*$-algebra $\mathcal{D}$. Then we show that there is a functorial
topological K-theory symmetric spectrum construction ${\bf K}_\Sigma^{top}(-)$
on the category of separable $C^*$-algebras, such that ${\bf
K}_\Sigma^{top}(\mathcal{D})$ is an algebra over this operad; moreover, ${\bf
K}_\Sigma^{top}(A\hat{\otimes}\mathcal{D})$ is a module over this algebra.
Along the way we obtain a new symmetric spectra valued functorial model for the
(connective) topological K-theory of $C^*$-algebras. We also show that
$\mathcal{O}_\infty$-stable $C^*$-algebras are K-regular providing evidence for
a conjecture of Rosenberg. We conclude with an explicit description of the
algebraic K-theory of $ax+b$-semigroup $C^*$-algebras coming from number theory
and that of $\mathcal{O}_\infty$-stabilized noncommutative tori.


title: Economic Efficiency Requires Interaction

abstract:
  We study the necessity of interaction between individuals for obtaining
approximately efficient allocations. The role of interaction in markets has
received significant attention in economic thinking, e.g. in Hayek's 1945
classic paper.
  We consider this problem in the framework of simultaneous communication
complexity. We analyze the amount of simultaneous communication required for
achieving an approximately efficient allocation. In particular, we consider two
settings: combinatorial auctions with unit demand bidders (bipartite matching)
and combinatorial auctions with subadditive bidders. For both settings we first
show that non-interactive systems have enormous communication costs relative to
interactive ones. On the other hand, we show that limited interaction enables
us to find approximately efficient allocations.


title: A new quantum version of f-divergence

abstract:
  This paper proposes and studies new quantum version of $f$-divergences, a
class of convex functionals of a pair of probability distributions including
Kullback-Leibler divergence, Rnyi-type relative entropy and so on. There are
several quantum versions so far, including the one by Petz. We introduce
another quantum version ($\mathrm{D}_{f}^{\max}$, below), defined as the
solution to an optimization problem, or the minimum classical $f$- divergence
necessary to generate a given pair of quantum states. It turns out to be the
largest quantum $f$-divergence. The closed formula of $\mathrm{D}_{f}^{\max}$
is given either if $f$ is operator convex, or if one of the state is a pure
state. Also, concise representation of $\mathrm{D}_{f}^{\max}$ as a pointwise
supremum of linear functionals is given and used for the clarification of
various properties of the quality.
  Using the closed formula of $\mathrm{D}_{f}^{\max}$, we show: Suppose $f$ is
operator convex. Then the\ maximum $f\,$- divergence of the probability
distributions of a measurement under the state $\rho$ and $\sigma$ is strictly
less than $\mathrm{D}_{f}^{\max}\left( \rho\Vert\sigma\right) $. This statement
may seem intuitively trivial, but when $f$ is not operator convex, this is not
always true. A counter example is $f\left( \lambda\right) =\left\vert
1-\lambda\right\vert $, which corresponds to total variation distance.
  We mostly work on finite dimensional Hilbert space, but some results are
extended to infinite dimensional case.


title: Zero-Delay and Causal Secure Source Coding

abstract:
  We investigate the combination between causal/zero-delay source coding and
information-theoretic secrecy. Two source coding models with secrecy
constraints are considered. We start by considering zero-delay perfectly secret
lossless transmission of a memoryless source. We derive bounds on the key rate
and coding rate needed for perfect zero-delay secrecy. In this setting, we
consider two models which differ by the ability of the eavesdropper to parse
the bit-stream passing from the encoder to the legitimate decoder into separate
messages. We also consider causal source coding with a fidelity criterion and
side information at the decoder and the eavesdropper. Unlike the zero-delay
setting where variable-length coding is traditionally used but might leak
information on the source through the length of the codewords, in this setting,
since delay is allowed, block coding is possible. We show that in this setting,
separation of encryption and causal source coding is optimal.


title:
Probing Majorana bound states via counting statistics of a single
  electron transistor

abstract:
  We propose an approach for probing Majorana bound states (MBSs) in a nanowire
via counting statistics of a nearby charge detector in the form of a
single-electron transistor (SET). We consider the impacts on the counting
statistics by both the local coupling between the detector and an adjacent MBS
at one end of a nanowire and the nonlocal coupling to the MBS at the other end.
We show that the Fano factor and the skewness of the SET current are minimized
for a symmetric SET configuration in the absence of the MBSs or when coupled to
a fermionic state. However, the minimum points of operation are shifted
appreciably in the presence of the MBSs to asymmetric SET configurations with a
higher tunnel rate at the drain than at the source. This feature persists even
when varying the nonlocal coupling and the pairing energy between the two MBSs.
We expect that these MBS-induced shifts can be measured experimentally with
available technologies and can serve as important signatures of the MBSs.


title:
Non-Parametric Cell-Based Photometric Proxies for Galaxy Morphology:
  Methodology and Application to the Morphologically-Defined Star Formation --
  Stellar Mass Relation of Spiral Galaxies in the Local Universe

abstract:
  (Abridged) We present a non-parametric cell-based method of selecting highly
pure and largely complete samples of spiral galaxies using photometric and
structural parameters as provided by standard photometric pipelines and simple
shape fitting algorithms, demonstrably superior to commonly used proxies.
Furthermore, we find structural parameters derived using passbands longwards of
the $g$ band and linked to older stellar populations, especially the stellar
mass surface density $\mu_*$ and the $r$ band effective radius $r_e$, to
perform at least equally well as parameters more traditionally linked to the
identification of spirals by means of their young stellar populations. In
particular the distinct bimodality in the parameter $\mu_*$, consistent with
expectations of different evolutionary paths for spirals and ellipticals,
represents an often overlooked yet powerful parameter in differentiating
between spiral and non-spiral/elliptical galaxies. We investigate the intrinsic
specific star-formation rate - stellar mass relation ($\psi_* - M_*$) for a
morphologically defined volume limited sample of local universe spiral
galaxies, defined using the cell-based method with an appropriate parameter
combination. The relation is found to be well described by $\psi_* \propto
M_*^{-0.5}$ over the range of $10^{9.5} M_{\odot} \le M_* \le 10^{11}
M_{\odot}$ with a mean interquartile range of $0.4\,$dex. This is somewhat
steeper than previous determinations based on colour-selected samples of
star-forming galaxies, primarily due to the inclusion in the sample of red
quiescent disks.


title: Applicability of Quasi-Monte Carlo for lattice systems

abstract:
  This project investigates the applicability of quasi-Monte Carlo methods to
Euclidean lattice systems in order to improve the asymptotic error scaling of
observables for such theories. The error of an observable calculated by
averaging over random observations generated from ordinary Monte Carlo
simulations scales like $N^{-1/2}$, where $N$ is the number of observations. By
means of quasi-Monte Carlo methods it is possible to improve this scaling for
certain problems to $N^{-1}$, or even further if the problems are regular
enough. We adapted and applied this approach to simple systems like the quantum
harmonic and anharmonic oscillator and verified an improved error scaling of
all investigated observables in both cases.


title:
Andreev reflection and Yanson point-contact spectroscopy of a Zn single
  crystal

abstract:
  Andreev reflection (AR) and Yanson point-contact spectroscopy (PCS) have been
applied simul-taneously to study the superconducting (SC) gap and the
electron-phonon interaction (EPI) in a Zn single crystal. The correlation
between SC gap value and EPI spectrum allowed us to establish the anisotropy of
the SC gap. Evidence for multiband superconductivity in Zn is present with two
gaps related as 1:1.3. We also found that the AR features are more robust
against the point-contact quality than the EPI ones, possibly, due to the large
coherence length in Zn compared to the typical PC size. Even for the PCs close
to the ballistic regime with intense EPI spectra, the transmission coefficient
evaluated from the AR spectra is near the one predicted theoretically for the
diffusive regime of a current flow in the PC. Understanding those phenomena
would provide a more reliable basis to apply both types of spectroscopies to
study more complex SCs.


title:
Optimal approximation for submodular and supermodular optimization with
  bounded curvature

abstract:
  We design new approximation algorithms for the problems of optimizing
submodular and supermodular functions subject to a single matroid constraint.
Specifically, we consider the case in which we wish to maximize a nondecreasing
submodular function or minimize a nonincreasing supermodular function in the
setting of bounded total curvature $c$. In the case of submodular maximization
with curvature $c$, we obtain a $(1-c/e)$-approximation --- the first
improvement over the greedy $(1-e^{-c})/c$-approximation of Conforti and
Cornuejols from 1984, which holds for a cardinality constraint, as well as
recent approaches that hold for an arbitrary matroid constraint.
  Our approach is based on modifications of the continuous greedy algorithm and
non-oblivious local search, and allows us to approximately maximize the sum of
a nonnegative, nondecreasing submodular function and a (possibly negative)
linear function. We show how to reduce both submodular maximization and
supermodular minimization to this general problem when the objective function
has bounded total curvature. We prove that the approximation results we obtain
are the best possible in the value oracle model, even in the case of a
cardinality constraint.
  We define an extension of the notion of curvature to general monotone set
functions and show $(1-c)$-approximation for maximization and
$1/(1-c)$-approximation for minimization cases. Finally, we give two concrete
applications of our results in the settings of maximum entropy sampling, and
the column-subset selection problem.


title: CP Violation and Mixing in Multi-body $D$ decays

abstract:
  We present recent LHCb results and future prospects for CP violation and
mixing measurements in multi-body charm decays. The complex amplitude structure
of multi-body decays provides unique sensitivity to CP violation localised in
certain phase space regions. A model-independent search in the phase space of
D->pi+pi-pi+pi- and D->K+K-pi+pi- decays showed no evidence for localised CP
violation. If one assumes the no CP violation hypothesis, the probability of
getting the observed results is 9.1% and 41%, respectively.
  The model-independent determination of gamma from B->DK requires external
input to account for the interference of D0 and D0bar amplitudes to the same
final state. Previously this input could only be obtained at the charm
threshold, but recently it has been proposed that D mixing can provide
complimentary information. For the example of D->K+pi-pi+pi- decays, it is
shown that charm mixing can be used to considerably improve current constraints
on the coherence factor and average strong phase difference, with existing
data.


title: A New Approach on Curves of Constant Precession

abstract:
  In this paper, we investigate a curve whose spherical image the tangent
indicatrix and binormal indicatrix is slant helix and called it as a slant
helix. We obtain that the spherical images are spherical slant helices defined
by [3]. This notation is a generalization of a slant helix. Furthermore, we
have given some characterizations for the slant helix and we show that a curve
of constant precession is a slant helix.


title:
How to improve the prediction based on citation impact percentiles for
  years shortly after the publication date?

abstract:
  The findings of Bornmann, Leydesdorff, and Wang (in press) revealed that the
consideration of journal impact improves the prediction of long-term citation
impact. This paper further explores the possibility of improving citation
impact measurements on the base of a short citation window by the consideration
of journal impact and other variables, such as the number of authors, the
number of cited references, and the number of pages. The dataset contains
475,391 journal papers published in 1980 and indexed in Web of Science (WoS,
Thomson Reuters), and all annual citation counts (from 1980 to 2010) for these
papers. As an indicator of citation impact, we used percentiles of citations
calculated using the approach of Hazen (1914). Our results show that citation
impact measurement can really be improved: If factors generally influencing
citation impact are considered in the statistical analysis, the explained
variance in the long-term citation impact can be much increased. However, this
increase is only visible when using the years shortly after publication but not
when using later years.


title: Possible $H$-like dibaryon states with heavy quarks

abstract:
  Possible $H$-like dibaryon states $\Lambda_{c}\Lambda_{c}$ and
$\Lambda_{b}\Lambda_{b}$ are investigated within the framework of quark
delocalization color screening model. The results show that the interaction
between two $\Lambda_{c}$'s is repulsive, so it cannot be bound state by
itself. However, the strong attraction in $\Sigma_{c}\Sigma_{c}$ and
$\Sigma^{*}_{c}\Sigma^{*}_{c}$ channels and the strong channel coupling, due to
the central interaction of one-gluon-exchange and one-pion-exchange, among
$\Lambda_{c}\Lambda_{c}$, $\Sigma_{c}\Sigma_{c}$ and
$\Sigma^{*}_{c}\Sigma^{*}_{c}$ push the energy of system below the threshold of
$\Lambda_{c}\Lambda_{c}$ by $22$ MeV. The corresponding system
$\Lambda_{b}\Lambda_{b}$ has the similar properties as that of
$\Lambda_{c}\Lambda_{c}$ system, and a bound state is also possible in
$\Lambda_{b}\Lambda_{b}$ system.


title: The Complexity of Flow Analysis in Higher-Order Languages

abstract:
  This dissertation proves lower bounds on the inherent difficulty of deciding
flow analysis problems in higher-order programming languages. We give exact
characterizations of the computational complexity of 0CFA, the $k$CFA
hierarchy, and related analyses. In each case, we precisely capture both the
expressiveness and feasibility of the analysis, identifying the elements
responsible for the trade-off.
  0CFA is complete for polynomial time. This result relies on the insight that
when a program is linear (each bound variable occurs exactly once), the
analysis makes no approximation; abstract and concrete interpretation coincide,
and therefore pro- gram analysis becomes evaluation under another guise.
Moreover, this is true not only for 0CFA, but for a number of further
approximations to 0CFA. In each case, we derive polynomial time completeness
results.
  For any $k > 0$, $k$CFA is complete for exponential time. Even when $k = 1$,
the distinction in binding contexts results in a limited form of closures,
which do not occur in 0CFA. This theorem validates empirical observations that
$k$CFA is intractably slow for any $k > 0$. There is, in the worst case---and
plausibly, in practice---no way to tame the cost of the analysis. Exponential
time is required. The empirically observed intractability of this analysis can
be understood as being inherent in the approximation problem being solved,
rather than reflecting unfortunate gaps in our programming abilities.


title: Scrambled and distributionally scrambled n-tuples

abstract:
  This article investigates the relation between the distributional chaos and
the existence of a scrambled triple. We show that for a continuous mapping $f$
acting on a compact metric space $(X,d)$, the possession of an infinite
extremal distributionally scrambled set is not sufficient for the existence of
a scrambled triple. We also construct an invariant Mycielski set with an
uncountable extremal distributionally scrambled set without any scrambled
triple.


title: Analysis of interval constants of Shoushili-affiliated calendars

abstract:
  We study the interval constants that are related to the motions of the Sun
and the Moon, i.e., the Qi, Intercalation, Revolution, and Crossing interval
constants, in calendars affiliated with the Shoushi calendar(Shoushili), such
as Datongli and Chiljeongsannaepyeon. It is known that those interval constants
were newly introduced in Shoushili and revised afterward, except for the Qi
interval constant, and the revised values were adopted in the
Shoushili-affiliated calendars. In this paper, we investigate first the
accuracy of the interval constants and then the accuracy of the
Shoushili-affilated calendars in terms of the interval constants by comparing
the times of the new moon and the solar eclipse maximum calculated by each
calendar with modern calculations. During our study, we found that the Qi and
Intercalation interval constants used in the early Shoushili were well
determined, whereas the Revolution and Crossing interval constants were
relatively poorly measured. We also found that the interval constants used by
the early Shoushili were better than those of the later one, and hence than
those of Datongli and Chiljeongsannaepyeon. On the other hand, we found that
the early Shoushili is, in general, a worse calendar than Datongli for use in
China but a better one than Chiljeongsannaepyeon for use in Korea in terms of
the new moon and the solar eclipse times, at least for the period 1281 - 1644.
Finally, we verified that the sunrise and sunset times recorded in
Shoushili-Li-Cheng and Mingshi are those at Beijing and Nanjing, respectively.


title:
Scattering in Topologically Massive Gravity, Chiral Gravity and the
  corresponding Anyon-Anyon Potential Energy

abstract:
  We compute the tree-level scattering amplitude between two covariantly
conserved sources in generic Cosmological Topologically Massive Gravity
augmented with a Fierz-Pauli term that has three massive degrees of freedom. We
consider the Chiral Gravity limit in the anti-de Sitter space as well as the
limit of Flat-Space Chiral Gravity. We show that Chiral Gravity cannot be
unitarily deformed with a Fierz-Pauli mass. We calculate the non-relativistic
potential energy between two point-like spinning sources. In addition to the
expected mass-mass and spin-spin interactions, there are mass-spin interactions
due to the presence of the gravitational Chern-Simons term which induces spin
for any massive object and turns it to an anyon. We also show that the
tree-level scattering is trivial for the Flat-Space Chiral Gravity.


title:
Copper and Transparent-Conductor Reflectarray Elements on Thin-Film
  Solar Cell Panels

abstract:
  This work addresses the integration of reflectarray antennas (RA) on thin
film Solar Cell (SC) panels, as a mean to save real estate, weight, or cost in
platforms such as satellites or transportable autonomous antenna systems. Our
goal is to design a good RA unit cell in terms of phase response and bandwidth,
while simultaneously achieving high optical transparency and low microwave
loss, to preserve good SC and RA energy efficiencies, respectively. Since there
is a trade-off between the optical transparency and microwave surface
conductivity of a conductor, here both standard copper and transparent
conductors are considered. The results obtained at the unit cell level
demonstrates the feasibility of integrating RA on a thin-film SC, preserving
for the first time good performance in terms of both SC and RA efficiency. For
instance, measurement at X-band demonstrate families of cells providing a phase
range larger than 270{\deg} with average microwave loss of -2.45dB (resp.
-0.25dB) and average optical transparency in the visible spectrum of 90% (resp.
85%) using transparent conductive multilayer (resp. a copper layer).


title:
Simultaneous VUV and XUV pulse generation and characterization for
  attosecond pump probe experiments

abstract:
  We report the generation and characterization of isolated attosecond XUV and
VUV pulses generated simultaneously via HHG driven by few-cycle pulses using an
in-line dual gas target system. One gas jet target was operated with Kr gas
that optimized HHG in the 15-25 eV photon energy range (VUV), whilst the second
gas jet target was operated in Ne gas to optimize the high harmonic generation
around 90 eV (XUV). Appropriate filters were used to isolate the required
spectral components to synthesize isolated pulses. Sn and In filters were used
for the VUV region while a Zr filter was used for the XUV. We characterized
both the XUV and VUV pulses independently using the attosecond streaking
technique and the LSGPA retrieval algorithm obtaining a 1.7$\pm$0.2 fs pulse
using the In filter and a 616$\pm$50 as pulse using Sn, while preserving a
266$\pm$10 as isolated XUV pulse.


title: A new view of the Lindemann criterion

abstract:
  The Lindemann criterion is reformulated in terms of the average shear modulus
$G_c$ of the melting crystal, indicating a critical melting shear strain which
is necessary to form the many different inherent states of the liquid. In glass
formers with covalent bonds, one has to distinguish between soft and hard
degrees of freedom to reach agreement. The temperature dependence of the
picosecond mean square displacements of liquid and crystal shows that there are
two separate contributions to the divergence of the viscosity with decreasing
temperature: the anharmonic increase of the shear modulus and a diverging
correlation length .


title: Large $N$ reduction in deformed Yang-Mills theories

abstract:
  We explore, at the nonperturbative level, the large $N$ equivalence between
ordinary $SU(N)$ Yang-Mills theory on $\mathbb{R}^4$ and on $\mathbb{R}^3
\times S^1$ with double-trace deformations. In particular, we compare the
values of the $0^{++}$ glueball mass obtained in both sides of the equivalence.


title:
Notes on the delta-expansion approach to the 2D Ising susceptibility
  scaling

abstract:
  We study the scaling of the magnetic susceptibility in the square Ising model
based upon the delta-expansion in the high temperature phase. The
susceptibility chi is expressed in terms of the mass M and expanded in powers
of 1/M. The dilation around M=0 by the delta expansion and the parametric
extension of the ratio of derivatives of chi, chi^{(ell+1)}/chi^{(ell)} is used
as a test function for the estimation of the critical exponent gamma with no
bias from information of the critical temperature. Estimation is done with the
help of the principle of minimum sensitivity and detailed analysis revealed
that ell=0,1 cases provide us accurate estimation results. Critical exponent of
the sub-leading scaling term is also estimated.


title:
Energy budget of the bifurcated component in the radio pulsar profile of
  PSR J1012+5307

abstract:
  The bifurcated emission component (BEC) in the radio profile of the
millisecond pulsar J1012+5307 can be interpreted as the signature of the
curvature radiation beam polarised orthogonally to the plane of electron
trajectory. Since the beam is intrinsically narrow (~1 deg), the associated
emission region must be small for the observed BEC to avoid smearing out by
spatial convolution. We estimate whether the energy available in the stream is
sufficient to produce such a bright feature in the averaged profile. The energy
considerations become complicated by the angular constraints imposed by the
width of the microbeam, and by the specific spectrum of the BEC which is found
to have the spectral index xi ~ -0.9 in comparison to the index of xi ~ -2 for
the total profile. For typical parameters, the luminosity of the BEC is
determined to be 4 10^{25} erg/s, whereas the maximum-possible
beam-size-limited power of the stream is L_max ~ 2 10^{29} erg/s. This implies
the minimum energy-conversion efficiency of eta ~ 2 10^{-4}. The BEC's
luminosity does not exceed any absolute limits of energetics, in particular, it
is smaller than the power of primary electron and/or secondary plasma stream.
However, the implied efficiency of energy transfer into the radio band is
extreme if the coherently emitting charge-separated plasma density is limited
to the Goldreich-Julian value. This suggests that the bifurcated shape of the
BEC has macroscopic origin, however, several uncertainties (eg. the dipole
inclination and spectral shape) make this conclusion not firm.


title: Fractional diffusion limit for a stochastic kinetic equation

abstract:
  We study the stochastic fractional diffusive limit of a kinetic equation
involving a small parameter and perturbed by a smooth random term. Generalizing
the method of perturbed test functions, under an appropriate scaling for the
small parameter, and with the moment method used in the deterministic case, we
show the convergence in law to a stochastic fluid limit involving a fractional
Laplacian.


title:
The puzzle of the CNO abundances of {\alpha} Cygni variables resolved by
  the Ledoux criterion?

abstract:
  Recent stellar evolution computations show that the blue supergiant (BSG)
stars could come from two distinct populations: a first group arising from
massive stars that just left the main sequence (MS) and are crossing the
Hertzsprung-Russell diagram (HRD) towards the red supergiant (RSG) branch, and
a second group coming from stars that have lost considerable amount of mass
during the RSG stage and are crossing the HRD for a second time towards the
blue region. Due to very different luminosity-to- mass ratio, only stars from
the second group are expected to have excited pulsations observable at the
surface. In a previous work, we have shown that our models were able to
reproduce the pulsational properties of BSGs. However, these models failed to
reproduce the surface chemical composition of stars evolving back from a RSG
phase. In this paper, we show how the use of the Ledoux criterion instead of
the Schwarzschild one for convection allows to significantly improve the
agreement with the observed chemical composition, while keeping the agreement
with the pulsation periods. This gives some support to the Ledoux criterion.


title: On the origin of the molecular outflows in IRAS 16293-2422

abstract:
  We present CO 3-2, SiO 8-7, C34S 7-6, and 878 mum dust continuum subarcsecond
angular resolution observations with the SMA toward IRAS 16293-2422 (I16293).
The C34S emission traces the 878 mum dust continuum well, and clearly shows a
smooth velocity gradient along the major axis of component I16293A. The CO
shows emission at moderate high velocities arising from two bipolar outflows,
which appear to be perpendicular with respect to each other. The high
sensitivity and higher angular resolution of these observations allows us to
pinpoint well the origin of these two outflows at the center of component
I16293A. Interestingly, the most compact outflow appears to point toward
I16293B. Our data show that the previously reported monopolar blueshifted CO
outflow associated with component I16293B seems to be part of the compact
outflow arising from component I16293A. In addition, the SiO emission is also
tracing this compact outflow: on one hand, the SiO emission appears to have a
jet-like morphology along the southern redshifted lobe; on the other hand, the
SiO emission associated with the blueshifted northern lobe traces a well
defined arc on the border of component I16293B facing I16293A. The blueshifted
CO lobe of the compact outflow splits into two lobes around the position of
this SiO arc. All these results lead us to propose that the compact outflow
from component I16293A is impacting on the circumstellar gas around component
I16293B, possibly being diverged as a consequence of the interaction.


title: Comments on the Algebraic Properties of Dilaton Actions

abstract:
  We study the relation between the dilaton action and sigma models for the
Goldstone bosons of the spontaneous breaking of the conformal group. We argue
that the relation requires that the sigma model is diffeomorphism invariant.
The origin of the WZW terms for the dilaton is clarified and it is shown that
in this approach the dilaton WZW term is necessarily accompanied by a Weyl
invariant term proposed before from holographic considerations.


title:
Sepsis is a syndrome with hyperactivity of TH17-like innate immunity and
  hypoactivity of adaptive immunity

abstract:
  Currently, there are two major theories for the pathogenesis of sepsis:
hyperimmune and hypoimmune. Hyperimmune theory suggests that cytokine storm
causes the symptoms of sepsis. On the contrary, hypoimmune theory suggests that
immunosuppression causes the manifestations of sepsis. By using microarray
study, this study implies that hyperactivity of TH17-like innate immunity and
failure of adaptive immunity are noted in sepsis patients. I find out that
innate immunity related genes are significantly up-regulated including CD14,
TLR1,2,4,5,8, HSP70, CEBP proteins, AP1(JUNB, FOSL2), TGF-{\beta}, IL-6,
TGF-{\alpha}, CSF2 receptor, TNFRSF1A, S100A binding proteins, CCR2, formyl
peptide receptor2, amyloid proteins, pentraxin, defensins, CLEC5A, whole
complement machinery, CPD, NCF, MMP, neutrophil elastase, caspases, IgG and IgA
Fc receptors(CD64, CD32), ALOX5, PTGS, LTB4R, LTA4H, and ICAM1. Majority of
adaptive immunity genes are down-regulated including MHC related genes, TCR
genes, granzymes/perforin, CD40, CD8, CD3, TCR signaling, BCR signaling, T & B
cell specific transcription factors, NK killer receptors, and TH17 helper
specific transcription factors(STAT3, RORA, REL). In addition, Treg related
genes are up-regulated including TGF{\beta}, IL-15, STAT5B, SMAD2/4, CD36, and
thrombospondin. Thus, both hyperimmune and hypoimmune play important roles in
the pathophysiology of sepsis.


title:
Connectivity and Irreducibility of Algebraic Varieties of Finite Unit
  Norm Tight Frames

abstract:
  In this paper, we settle a long-standing problem on the connectivity of
spaces of finite unit norm tight frames (FUNTFs), essentially affirming a
conjecture first appearing in [Dykema and Strawn, 2003]. Our central technique
involves continuous liftings of paths from the polytope of eigensteps to spaces
of FUNTFs. After demonstrating this connectivity result, we refine our analysis
to show that the set of nonsingular points on these spaces is also connected,
and we use this result to show that spaces of FUNTFs are irreducible in the
algebro-geometric sense, and also that generic FUNTFs are full spark.


title: Segal Group Actions

abstract:
  We define a model category structure on a slice category of simplicial
spaces, called the "Segal group action" structure whose fibrant-cofibrant
objects may be viewed as representing spaces $X$ with a coherent action of a
given Segal group (i.e. a group-like, reduced Segal space). We show that this
model structure is Quillen equivalent to the projective model structure on
$G$-spaces, $\mathcal{S}^{\mathbb{B}G}$, where $G$ is a simplicial group
represented by this Segal group. Since Segal group actions are invariant under
weak monoidal endofunctors of spaces they enable to construct, for an arbitrary
$G$-space $X$, an "equivariant Postnikov tower" which in degree $n$ has $P_nX$
viewed as a space with a coherent action of (the Segal group corresponding to)
$P_nG$.


title: Observation of Electron Neutrino Appearance in a Muon Neutrino Beam

abstract:
  The T2K experiment has observed electron neutrino appearance in a muon
neutrino beam produced 295 km from the Super-Kamiokande detector with a peak
energy of 0.6 GeV. A total of 28 electron neutrino events were detected with an
energy distribution consistent with an appearance signal, corresponding to a
significance of 7.3$\sigma$ when compared to 4.92 $\pm$ 0.55 expected
background events. In the PMNS mixing model, the electron neutrino appearance
signal depends on several parameters including three mixing angles
$\theta_{12}$, $\theta_{23}$, $\theta_{13}$, a mass difference $\Delta
m^2_{32}$ and a CP violating phase $\delta_{\mathrm{CP}}$. In this neutrino
oscillation scenario, assuming $|\Delta m^2_{32}| = 2.4 \times 10^{-3}$ $\rm
eV^2$, $\sin^2 \theta_{23} = 0.5$, and $\Delta m^2_{32} >0$ ($\Delta m^2_{32}
<0$), a best-fit value of $\sin^2 2 \theta_{13}$ = $0.140^{+0.038}_{-0.032}$
($0.170^{+0.045}_{-0.037}$) is obtained at $\delta_{\mathrm{CP}}=0$. When
combining the result with the current best knowledge of oscillation parameters
including the world average value of $\theta_{13}$ from reactor experiments,
some values of $\delta_{\mathrm{CP}}$ are disfavored at the 90% CL.


title: Electric Polarization Induced by Gravity in Fat Branes

abstract:
  In the fat brane model, also known as the split fermion model, it is assumed
that leptons and baryons live in different hypersurfaces of a thick brane in
order to explain the proton stability without invoking any symmetry. It turns
out that, in the presence of a gravity source $M$, particles will see different
four-dimensional (4D) geometries and hence, from the point of view of
4D-observers, the equivalence principle will be violated. As a consequence, we
show that a hydrogen atom in the gravitational field of $M$ will acquire a
radial electric dipole. This effect is regulated by the Hamiltonian
$H_{d}=-\mu\mathbf{A}\cdot\mathbf{\delta r}$, which is the gravitational analog
of the Stark Hamiltonian, where the electric field is replaced by the tidal
acceleration $\mathbf{A}$ due to the split of fermions in the brane and the
atomic reduced mass $\mu$ substitutes the electric charge.


title: Efficient evaluation of mp-MIQP solutions using lifting

abstract:
  This paper presents an efficient approach for the evaluation of
multi-parametric mixed integer quadratic programming (mp-MIQP) solutions,
occurring for instance in control problems involving discrete time hybrid
systems with quadratic cost. Traditionally, the online evaluation requires a
sequential comparison of piecewise quadratic value functions. As the main
contribution, we introduce a lifted parameter space in which the piecewise
quadratic value functions become piecewise affine and can be merged to a single
value function defined over a single polyhedral partition without any overlaps.
This enables efficient point location approaches using a single binary search
tree. Numerical experiments include a power electronics application and
demonstrate an online speedup up to an order of magnitude. We also show how the
achievable online evaluation time can be traded off against the offline
computational time.


title: A Radio Characterization of Galactic compact Bubbles

abstract:
  We report the radio observations of a sub-sample of the 428 galactic compact
bubbles discovered at 24 $\mu$m with the MIPSGAL survey. Pervasive through the
entire Galactic plane, these objects are thought to be different kinds of
evolved stars. The very large majority of the bubbles (~ 70%) are however not
yet classified. We conducted radio observations with the EVLA at 6 cm and 20 cm
in order to obtain the spectral index of 55 bubbles. We found that at least 70
per cent of the 31 bubbles for which we were effectively able to compute the
spectral index (or its lower limit) are likely to be thermal emitters. We were
also able to resolve some bubbles, obtaining that the size of the radio nebula
is usually similar to the IR size, although our low resolution (with respect to
IR images) did not allow further morphological studies. Comparisons between
radio flux densities and IR archive data from Spitzer and IRAS suggest that at
least 3 unclassified bubbles can be treated as planetary nebula candidates.


title: Diphoton + jets at NLO

abstract:
  We present the next-to-leading order QCD corrections to the production of a
photon pair in association with one or two jets. This class of processes
constitutes an important background for Higgs physics at the LHC. For the one
jet process we include photon fragmentation contributions and perform a
comparison between different photon isolation criteria and various isolation
parameters. The two jet calculation has been performed using a smooth cone
isolation criterion. We find that the NLO QCD corrections are substantial and
can lead to distortions of differential distributions.


title:
A fast and portable Re-Implementation of Piskunov and Valenti's
  Optimal-Extraction Algorithm with improved Cosmic-Ray Removal and Optimal Sky
  Subtraction

abstract:
  We present a fast and portable re-implementation of Piskunov and Valenti's
optimal-extraction algorithm (Piskunov & Valenti, 2002} in C/C++ together with
full uncertainty propagation, improved cosmic-ray removal, and an optimal
background-subtraction algorithm. This re-implementation can be used with IRAF
and most existing data-reduction packages and leads to signal-to-noise ratios
close to the Poisson limit. The algorithm is very stable, operates on spectra
from a wide range of instruments (slit spectra and fibre feeds), and has been
extensively tested for VLT/UVES, ESO/CES, ESO/FEROS, NTT/EMMI, NOT/ALFOSC,
STELLA/SES, SSO/WiFeS, and finally, P60/SEDM-IFU data.


title:
Hochschild cohomology ring for self-injective algebras of tree class
  $E_6$

abstract:
  We describe the Hochschild cohomology ring for one of the two self-injective
algebras of tree class $E_6$ in terms of generators and relations.


title:
Hour-glass magnetic spectrum in a stripe-less insulating transition
  metal oxide

abstract:
  An hour-glass shaped magnetic excitation spectrum appears to be an universal
characteristic of the high-temperature superconducting cuprates. Fluctuating
charge stripes or alternative band structure approaches are able to explain the
origin of these spectra. Recently, an hour- glass spectrum has been observed in
an insulating cobaltate, thus, favouring the charge stripe scenario. Here we
show that neither charge stripes nor band structure effects are responsible for
the hour-glass dispersion in a cobaltate within the checkerboard charge ordered
regime of La2-xSrxCoO4. The search for charge stripe ordering reflections
yields no evidence for charge stripes in La1.6Sr0.4CoO4 which is supported by
our phonon studies. With the observation of an hour-glass-shaped excitation
spectrum in this stripe-less insulating cobaltate, we provide experimental
evidence that the hour-glass spectrum is neither necessarily connected to
charge stripes nor to band structure effects, but instead, probably intimately
coupled to frustration and arising chiral or non-collinear magnetic
correlations.


title: On the Smoothness of the Noncommutative Pillow and Quantum Teardrops

abstract:
  Recent results by Kr\"ahmer [Israel J. Math. 189 (2012), 237-266,
arXiv:0806.0267] on smoothness of Hopf-Galois extensions and by Liu
[arXiv:1304.7117] on smoothness of generalized Weyl algebras are used to prove
that the coordinate algebras of the noncommutative pillow orbifold [Internat.
J. Math. 2 (1991), 139-166], quantum teardrops ${\mathcal O}({\mathbb
W}{\mathbb P}_q(1,l))$ [Comm. Math. Phys. 316 (2012), 151-170,
arXiv:1107.1417], quantum lens spaces ${\mathcal O}(L_q(l;1,l))$ [Pacific J.
Math. 211 (2003), 249-263], the quantum Seifert manifold ${\mathcal
O}(\Sigma_q^3)$ [J. Geom. Phys. 62 (2012), 1097-1107, arXiv:1105.5897], quantum
real weighted projective planes ${\mathcal O}({\mathbb R}{\mathbb
P}_q^2(l;\pm))$ [PoS Proc. Sci. (2012), PoS(CORFU2011), 055, 10 pages,
arXiv:1203.6801] and quantum Seifert lens spaces ${\mathcal
O}(\Sigma_q^3(l;-))$ [Axioms 1 (2012), 201-225, arXiv:1207.2313] are
homologically smooth in the sense that as their own bimodules they admit
finitely generated projective resolutions of finite length.


title:
Approximation Algorithms for Hard Capacitated $k$-facility Location
  Problems

abstract:
  We study the capacitated $k$-facility location problem, in which we are given
a set of clients with demands, a set of facilities with capacities and a
constant number $k$. It costs $f_i$ to open facility $i$, and $c_{ij}$ for
facility $i$ to serve one unit of demand from client $j$. The objective is to
open at most $k$ facilities serving all the demands and satisfying the capacity
constraints while minimizing the sum of service and opening costs.
  In this paper, we give the first fully polynomial time approximation scheme
(FPTAS) for the single-sink (single-client) capacitated $k$-facility location
problem. Then, we show that the capacitated $k$-facility location problem with
uniform capacities is solvable in polynomial time if the number of clients is
fixed by reducing it to a collection of transportation problems. Third, we
analyze the structure of extreme point solutions, and examine the efficiency of
this structure in designing approximation algorithms for capacitated
$k$-facility location problems. Finally, we extend our results to obtain an
improved approximation algorithm for the capacitated facility location problem
with uniform opening cost.