title: Polarized Spinoptics and Symplectic Physics

abstract:
  We recall the groundwork of spinoptics based on the coadjoint orbits, of
given color and spin, of the group of isometries of Euclidean three-space; this
model has originally been put forward by Souriau in his treatise "Structure des
Syst\'emes Dynamiques", whose manuscript was initially entitled "Physique
symplectique". We then set up a model of polarized spinoptics, namely an
extension of geometrical optics accounting for elliptically polarized light
rays in terms of a certain fibre bundle associated with the bundle of Euclidean
frames of a given Riemannian three-manifold. The characteristic foliation of a
natural presymplectic two-form introduced on this bundle via the Ansatz of
minimal coupling is determined, yielding a set of differential equations
governing the trajectory of light, as well as the evolution of polarization in
this Riemannian manifold. Those equations, when specialized to the Fermat
metric (for a slowly varying refractive index), enable us to recover, and
justify, a set of differential equations earlier proposed in the literature, in
another context, namely in terms of a semi-classical limit of wave optics. They
feature a specific anomalous velocity responsible for the recently observed
Spin Hall Effect of Light, namely a tiny spatial deflection of polarized light
rays, transversally to the gradient of the refractive index. Our model,
constructed from the start on purely geometric grounds, turns out to encode
automatically the Berry as well as the Pancharatnam connections that usually
appear in the framework of wave optics.


title: Permutations sortable by two stacks in parallel and quarter plane walks

abstract:
  At the end of the 1960s, Knuth characterised the permutations that can be
sorted using a stack in terms of forbidden patterns. He also showed that they
are in bijection with Dyck paths and thus counted by the Catalan numbers.
Subsequently, Even \& Itai, Pratt and Tarjan studied permutations that can be
sorted using two stacks in parallel. This problem is significantly harder. In
particular, a sortable permutation can now be sorted by several distinct
sequences of stack operations. Moreover, in order to be sortable, a permutation
must avoid infinitely many patterns. The associated counting question has
remained open for 40 years. We solve it by giving a pair of functional
equations that characterise the generating function of permutations that can be
sorted with two parallel stacks. The first component of this system describes
the generating function Q(a,u) of square lattice loops confined to the positive
quadrant, counted by the length and the number of North-West and East-South
factors. Our analysis of the asymptotic number of sortable permutations relies
at the moment on two intriguing conjectures dealing with the series Q(a,u). We
prove that they hold for loops confined to the upper half plane, or not
confined at all. They remain open for quarter plane loops. Given the recent
activity on walks confined to cones, we believe them to be attractive per se.


title: Phase behaviour of the confined lattice gas Lebwohl-Lasher model

abstract:
  The phase behaviour of the Lebwohl-Lasher lattice gas model (one of the
simplest representations of a nematogenic fluid) confined in a slab is
investigated by means of extensive Monte Carlo simulations. The model is known
to yield a first order gas-liquid transition in both the 2D and 3D limits, that
is coupled with an orientational order-disorder transition. This latter
transition happens to be first order in the 3D limit and it shares some
characteristic features with the continuous defect mediated
Berezinskii-Kosterlitz-Thouless transition in 2D. In this work we will analyze
in detail the behaviour of this system taking full advantage of the lattice
nature of the model and the particular symmetry of the interaction potential,
which allows for the use of efficient cluster algorithms.


title:
A Utility Theory Based Interactive Approach to Robustness in Linear
  Optimization

abstract:
  We treat uncertain linear programming problems by utilizing the notion of
weighted analytic centers and notions from the area of multi-criteria decision
making. After introducing our approach, we develop interactive cutting-plane
algorithms for robust optimization, based on concave and quasi-concave utility
functions. In addition to practical advantages, due to the flexibility of our
approach, we are able to prove that under a theoretical framework due to
Bertsimas and Sim [14], which establishes the existence of certain convex
formulation of robust optimization problems, the robust optimal solutions
generated by our algorithms are at least as desirable to the decision maker as
any solution generated by many other robust optimization algorithms in the
theoretical framework. We present some probabilistic bounds for feasibility of
robust solutions and evaluate our approach by means of computational
experiments.


title: eXamine: a Cytoscape app for exploring annotated modules in networks

abstract:
  Background. Biological networks have growing importance for the
interpretation of high-throughput "omics" data. Statistical and combinatorial
methods allow to obtain mechanistic insights through the extraction of smaller
subnetwork modules. Further enrichment analyses provide set-based annotations
of these modules.
  Results. We present eXamine, a set-oriented visual analysis approach for
annotated modules that displays set membership as contours on top of a
node-link layout. Our approach extends upon Self Organizing Maps to
simultaneously lay out nodes, links, and set contours.
  Conclusions. We implemented eXamine as a freely available Cytoscape app.
Using eXamine we study a module that is activated by the virally-encoded
G-protein coupled receptor US28 and formulate a novel hypothesis about its
functioning.


title: Cournot Maps for Intercepting Evader Evolutions by a Pursuer

abstract:
  Instead of studying evolutions governed by an evolutionary system starting at
a given initial state on a prescribed future time interval, finite or infinite,
we tackle the problem of looking both for a past interval [T-D,T] of aperture
(or length, duration) D and for the viable evolutions arriving at a prescribed
terminal state at the end of the temporal window (and thus telescoping if more
than one such evolutions exist). Hence, given time and duration dependent
evolutionary system and viability constraints, as well as time dependent
departure constraints, the Cournot map associates with any terminal time T and
state x the apertures D(T,x) of the intervals [T-D(T,x),T], the starting (or
initial) states at the beginning of the temporal window from which at least one
viable evolution will reach the given terminal state x at T. Cournot maps can
be used by a pursuer to intercept an evader's evolution in dynamic game theory.
After providing some properties of Cournot maps are next investigated, above
all, the regulation map piloting the viables evolutions at each time and for
each duration from the beginning of the temporal window up to terminal time.
The next question investigated is the selection of controls or regulons in the
regulation map whenever several of them exist. Selection processes are either
time dependent, when the selection operates at each time, duration and state
for selecting a regulon satisfying required properties (for instance, minimal
norm, minimal speed), or intertemporal. In this case, viable evolutions are
required to optimize some prescribed intertemporal functional, as in optimal
control. This generates value functions, the topics of the second part of this
study


title:
Triple scale analysis of periodic solutions and resonance of some
  asymmetric non linear vibrating systems

abstract:
  We consider {\it small solutions} of a vibrating mechanical system with
smooth non-linearities for which we provide an approximate solution by using a
triple scale analysis; a rigorous proof of convergence of the triple scale
method is included; for the forced response, a stability result is needed in
order to prove convergence in a neighbourhood of a primary resonance. The
amplitude of the response with respect to the frequency forcing is described
and it is related to the frequency of a free periodic vibration.


title: Attaining potentially good reduction in arithmetic dynamics

abstract:
  Let K be a non-archimedean field, and let f in K(z) be a rational function of
degree d>1. If f has potentially good reduction, we give an upper bound,
depending only on d, for the minimal degree of an extension L/K such that f is
conjugate over L to a map of good reduction. In particular, if d=2 or d is
greater than the residue characteristic of K, the bound is d+1. If K is
discretely valued, we give examples to show that our bound is sharp.


title: The densest subgraph problem in sparse random graphs

abstract:
  We determine the asymptotic behavior of the maximum subgraph density of large
random graphs with a prescribed degree sequence. The result applies in
particular to the Erd\H{o}s-R\'{e}nyi model, where it settles a conjecture of
Hajek [IEEE Trans. Inform. Theory 36 (1990) 1398-1414]. Our proof consists in
extending the notion of balanced loads from finite graphs to their local weak
limits, using unimodularity. This is a new illustration of the objective method
described by Aldous and Steele [In Probability on Discrete Structures (2004)
1-72 Springer].


title:
Interaction of the model alkyltrimethylammonium ions with alkali halide
  salts: an explicit water molecular dynamics study

abstract:
  We present an explicit water molecular dynamics simulation of dilute
solutions of model alkyltrimethylammonium surfactant ions (number of methylene
groups in the tail is 3, 5, 8, 10, and 12) in mixture with NaF, NaCl, NaBr, and
NaI salts, respectively. The SPC/E model is used to describe water molecules.
Results of the simulation at 298 K are presented in the form of radial
distribution functions between nitrogen and carbon atoms of CH$_2$ groups on
the alkyltrimethylammonium ion, and the counterion species in the solution. The
running coordination numbers between carbon atoms of surfactants and
counterions are also calculated. We show that I$^-$ counterion exhibits the
highest, and F$^-$ the lowest affinity to "bind" to the model surfactants. The
results are discussed in view of the available experimental and simulation data
for this and similar solutions.


title: Protein crowding on biomembranes: analysis of contour instabilities

abstract:
  Collective behavior of proteins on biomembranes is usually studied within the
spontaneous curvature model. Here we consider an alternative phenomenological
approach, which accounts consistently for partial ordering of proteins as well
as the anchoring forces exerted on a membrane by layer of proteins. We show
analytically that such anisotropic interactions can drive membrane bending,
resulting in non-trivial equilibrium morphologies. The predicted instabilities
can advance our conceptual understanding of physical mechanisms behind
collective phenomena in biological systems, in particular those with inherent
anisotropy.


title:
On the acceleration of some empirical means with application to
  nonparametric regression

abstract:
  Let $(X_1,\ldots ,X_n)$ be an i.i.d. sequence of random variables in $\R^d$,
$d\geq 1$, for some function $\varphi:\R^d\r \R$, under regularity conditions,
we show that \begin{align*} n^{1/2} \left(n^{-1} \sum_{i=1}^n
\frac{\varphi(X_i)}{\w f^{(i)}(X_i)}-\int_{} \varphi(x)dx \right)
\overset{\P}{\lr} 0, \end{align*} where $\w f^{(i)}$ is the classical
leave-one-out kernel estimator of the density of $X_1$. This result is striking
because it speeds up traditional rates, in root $n$, derived from the central
limit theorem when $\w f^{(i)}=f$. As a consequence, it improves the classical
Monte Carlo procedure for integral approximation. The paper mainly addressed
with theoretical issues related to the later result (rates of convergence,
bandwidth choice, regularity of $\varphi$) but also interests some statistical
applications dealing with random design regression. In particular, we provide
the asymptotic normality of the estimation of the linear functionals of a
regression function on which the only requirement is the H\"older regularity.
This leads us to a new version of the \textit{average derivative estimator}
introduced by H\"ardle and Stoker in \cite{hardle1989} which allows for
\textit{dimension reduction} by estimating the \textit{index space} of a
regression.


title:
Addressing geometric non-linearities with cantilever MEMS: beyond the
  Duffing model

abstract:
  We report on low temperature measurements performed on
micro-electro-mechanical systems (MEMS) driven deeply into the non-linear
regime. The materials are kept in their elastic domain, while the observed
non-linearity is purely of geometrical origin. Two techniques are used,
harmonic drive and free decay. For each case, we present an analytic theory
fitting the data. The harmonic drive is fit with a Lorentz-like lineshape
obtained from an extended version of Landau and Lifshitz's non-linear theory.
The evolution in the time domain is fit with an amplitude-dependent frequency
decaying function derived from the Lindstedt-Poincar'e theory of non-linear
differential equations. The technique is perfectly generic and can be
straightforwardly adapted to any mechanical device made of ideally elastic
constituents, and which can be reduced to a single degree of freedom, for an
experimental definition of its non-linear dynamics equation.


title:
Continuous all-optical deceleration and single-photon cooling of
  molecular beams

abstract:
  Ultracold molecular gases are promising as an avenue to rich many-body
physics, quantum chemistry, quantum information, and precision measurements.
This richness, which flows from the complex internal structure of molecules,
makes the creation of ultracold molecular gases using traditional methods
(laser plus evaporative cooling) a challenge, in particular due to the
spontaneous decay of molecules into dark states. We propose a way to circumvent
this key bottleneck using an all-optical method for decelerating molecules
using stimulated absorption and emission with a single ultrafast laser. We
further describe single-photon cooling of the decelerating molecules that
exploits their high dark state pumping rates, turning the principal obstacle to
molecular laser cooling into an advantage. Cooling and deceleration may be
applied simultaneously and continuously to load molecules into a trap. We
discuss implementation details including multi-level numerical simulations of
strontium monohydride (SrH). These techniques are applicable to a large number
of molecular species and atoms with the only requirement being an electric
dipole transition that can be accessed with an ultrafast laser.


title:
Pulsating red giant stars in eccentric binary systems discovered from
  Kepler space-based photometry

abstract:
  The unparalleled photometric data obtained by NASA's Kepler space telescope
led to an improved understanding of red giant stars and binary stars.
Seismology allows us to constrain the properties of red giants. In addition to
eclipsing binaries, eccentric non-eclipsing binaries, exhibiting ellipsoidal
modulations, have been detected with Kepler. We aim to study the properties of
eccentric binary systems containing a red giant star and derive the parameters
of the primary giant component. We apply asteroseismic techniques to determine
masses and radii of the primary component of each system. For a selected
target, light and radial velocity curve modelling techniques are applied to
extract the parameters of the system. The effects of stellar on the binary
system are studied. The paper presents the asteroseismic analysis of 18
pulsating red giants in eccentric binary systems, for which masses and radii
were constrained. The orbital periods of these systems range from 20 to
440days. From radial velocity measurements we find eccentricities between e=0.2
to 0.76. As a case study we present a detailed analysis of KIC5006817. From
seismology we constrain the rotational period of the envelope to be at least
165 d, roughly twice the orbital period. The stellar core rotates 13 times
faster than the surface. From the spectrum and radial velocities we expect that
the Doppler beaming signal should have a maximum amplitude of 300ppm in the
light curve. Through binary modelling, we determine the mass of the secondary
component to be 0.29$\pm$0.03\,$M_\odot$. For KIC5006817 we exclude
pseudo-synchronous rotation of the red giant with the orbit. The comparison of
the results from seismology and modelling of the light curve shows a possible
alignment of the rotational and orbital axis at the 2$\sigma$ level. Red giant
eccentric systems could be progenitors of cataclysmic variables and hot
subdwarf B stars.


title:
Metallic coatings of MEMS at low temperatures: stress, elasticity and
  non-linear dissipation

abstract:
  We present mechanical measurements performed at low temperatures on
cantilever-based microelectro-mechanicalstructures(MEMS) coated with a metallic
layer. Two very different coatings are presented in order to illustrate the
capabilities of the present approach, namely (soft) aluminum and (hard) niobium
oxide. The temperature is used as a control parameter to access materials
properties. We benefit from low temperature techniques to extract a
phase-resolved measurement of the first mechanical resonance mode in cryogenic
vacuum. By repeating the experiment on the same samples, after multiple
metallic depositions, we can determine accurately the contribution of the
coating layers to the mechanical properties in terms of surface stress,
additional mass, additional elasticity and damping. Analytic theoretical
expressions are derived and used to fit the data. Taking advantage of the
extremely broad dynamic range provided by the technique, we can measure the
anelasticity of the thin metallic film. The key parameters describing the
metals' dynamics are analyzed in an original way in order to provide new
experimental grounds for future theoretical modelings of the underlying
mechanisms.


title: Computing the unknotting numbers of certain pretzel knots

abstract:
  We compute the unknotting number of two infinite families of pretzel knots,
$P(3,1,\dots,1,b)$ (with $b$ positive and odd and an odd number of 1s) and
$P(3,3,3c)$ (with $c$ positive and odd). To do this, we extend a technique of
Owens using Donaldson's diagonalization theorem, and one of Traczyk using the
Jones polynomial, building on work of Lickorish and Millett.


title:
A new concept of y-ray telescope. LArGO: Liquid Argon Gamma-ray
  Observatory

abstract:
  LArGO (Liquid Argon Gamma-ray Observatory) consists of a new design for a
$\gamma$-ray telescope, which exploits the idea of using a Liquid Argon Time
Projection Chamber (LAr-TPC) as tracker-converter. Particle tracking in LAr-TPC
can efficiently starts since the primary photon vertex. Indeed, while in the
present space telescopes the incident photon converts in a tungsten foil, which
is a passive material, in a LAr-TPC this conversion happens in LAr itself,
which is fully active. In this proceeding is described a plausible design for
the tracker-converter detector which fulfills the constraints on conversion
efficiency, angular resolution, and wide field of view. It is demonstrated how
this design can provide an unprecedented angular resolution for a $\gamma$-ray
telescope, leading to a significant improvement in sensitivity and most
important disclosing the possibility to detect the polarization of $\gamma$-ray
emission.


title:
'Fast Exchange' model visualized with 3He confined in aerogel: a Fermi
  liquid in contact with a Ferromagnetic solid

abstract:
  3He confined in aerogel in the millikelvin temperature domain exemplifies a
Fermi liquid in the presence of disorder. In confined 3He systems, a solid
layer of 3He atoms forms on the confining medium. This system can then be
viewed as a model system for the study of the (strongly interacting) Fermi
liquid in contact with a (ferromagnetic) "2D-like" adsorbed solid. This
interaction, studied experimentally through NMR T2 experiments, is described in
the framework of the "fast exchange" model. A complete analytical descripion of
the model is given, explaining our measurements as well as related normal-state
confined 3He NMR literature.


title:
A strict error bound with separated contributions of the discretization
  and of the iterative solver in non-overlapping domain decomposition methods

abstract:
  This paper deals with the estimation of the distance between the solution of
a static linear mechanic problem and its approximation by the finite element
method solved with a non-overlapping domain decomposition method (FETI or BDD).
We propose a new strict upper bound of the error which separates the
contribution of the iterative solver and the contribution of the
discretization. Numerical assessments show that the bound is sharp and enables
us to define an objective stopping criterion for the iterative solver


title:
Random weighted Sobolev inequalities and application to quantum
  ergodicity

abstract:
  This paper is a continuation of Poiret-Robert-Thomann (2013) where we studied
a randomisation method based on the Laplacian with harmonic potential. Here we
extend our previous results to the case of any polynomial and confining
potential $V$ on $\mathbb{R}^d$. We construct measures, under concentration
type assumptions, on the support of which we prove optimal weighted Sobolev
estimates on $\mathbb{R}^d$. This construction relies on accurate estimates on
the spectral function in a non-compact configuration space. Then we prove
random quantum ergodicity results without specific assumption on the classical
dynamics. Finally, we prove that almost all basis of Hermite functions is
quantum uniquely ergodic.


title: Call-by-value non-determinism in a linear logic type discipline

abstract:
  We consider the call-by-value lambda-calculus extended with a may-convergent
non-deterministic choice and a must-convergent parallel composition. Inspired
by recent works on the relational semantics of linear logic and non-idempotent
intersection types, we endow this calculus with a type system based on the
so-called Girard's second translation of intuitionistic logic into linear
logic. We prove that a term is typable if and only if it is converging, and
that its typing tree carries enough information to give a bound on the length
of its lazy call-by-value reduction. Moreover, when the typing tree is minimal,
such a bound becomes the exact length of the reduction.


title:
A distributed prime sieving algorithm based on Scheduling by Multiple
  Edge Reversal

abstract:
  This paper presents a new distributed approach for generating all prime
numbers in a given interval of integers. From Eratosthenes, who elaborated the
first prime sieve (more than 2000 years ago), to the current generation of
parallel computers, which have permitted to reach larger bounds on the interval
or to obtain previous results in a shorter time, prime numbers generation still
represents an attractive domain of research and plays a central role in
cryptography. We propose a fully distributed algorithm for finding all primes
in the interval $[2\ldots, n]$, based on the \emph{wheel sieve} and the SMER
(\emph{Scheduling by Multiple Edge Reversal}) multigraph dynamics. Given a
multigraph $\mathcal{M}$ of arbitrary topology, having $N$ nodes, a SMER-driven
system is defined by the number of directed edges (arcs) between any two nodes
of $\mathcal{M}$, and by the global period length of all "arc reversals" in
$\mathcal{M}$. The new prime number generation method inherits the distributed
and parallel nature of SMER and requires at most $n + \lfloor \sqrt{n}\rfloor$
time steps. The message complexity achieves at most $n\Delta_N + \lfloor
\sqrt{n}\rfloor \Delta_N$, where $1\le \Delta_N\le N - 1$ is the maximal
multidegree of $\mathcal{M}$, and the maximal amount of memory space required
per process is $\mathcal{O}(n)$ bits.


title:
Cache-aware static scheduling for hard real-time multicore systems based
  on communication affinities

abstract:
  The growing need for continuous processing capabilities has led to the
development of multicore systems with a complex cache hierarchy. Such multicore
systems are generally designed for improving the performance in average case,
while hard real-time systems must consider worst-case scenarios. An open
challenge is therefore to efficiently schedule hard real-time tasks on a
multicore architecture. In this work, we propose a mathematical formulation for
computing a static scheduling that minimize L1 data cache misses between hard
real-time tasks on a multicore architecture using communication affinities.


title: On the genericity of Whitehead minimality

abstract:
  We show that a finitely generated subgroup of a free group, chosen uniformly
at random, is strictly Whitehead minimal with overwhelming probability.
Whitehead minimality is one of the key elements of the solution of the orbit
problem in free groups. The proofs strongly rely on combinatorial tools,
notably those of analytic combinatorics. The result we prove actually depends
implicitly on the choice of a distribution on finitely generated subgroups, and
we establish it for the two distributions which appear in the literature on
random subgroups.


title:
Who Watches (and Shares) What on YouTube? And When? Using Twitter to
  Understand YouTube Viewership

abstract:
  We combine user-centric Twitter data with video-centric YouTube data to
analyze who watches and shares what on YouTube. Combination of two data sets,
with 87k Twitter users, 5.6mln YouTube videos and 15mln video sharing events,
allows rich analysis going beyond what could be obtained with either of the two
data sets individually. For Twitter, we generate user features relating to
activity, interests and demographics. For YouTube, we obtain video features for
topic, popularity and polarization. These two feature sets are combined through
sharing events for YouTube URLs on Twitter. This combination is done both in a
user-, a video- and a sharing-event-centric manner. For the user-centric
analysis, we show how Twitter user features correlate both with YouTube
features and with sharing-related features. As two examples, we show urban
users are quicker to share than rural users and for some notions of "influence"
influential users on Twitter share videos with a higher number of views. For
the video-centric analysis, we find a superlinear relation between initial
Twitter shares and the final amounts of views, showing the correlated behavior
of Twitter. On user impact, we find the total amount of followers of users that
shared the video in the first week does not affect its final popularity.
However, aggregated user retweet rates serve as a better predictor for YouTube
video popularity. For the sharing-centric analysis, we reveal existence of
correlated behavior concerning the time between video creation and sharing
within certain timescales, showing the time onset for a coherent response, and
the time limit after which collective responses are extremely unlikely. We show
that response times depend on video category, revealing that Twitter sharing of
a video is highly dependent on its content. To the best of our knowledge this
is the first large-scale study combining YouTube and Twitter data.


title: Coupling of elasticity to capillarity in soft aerated materials

abstract:
  We study the elastic properties of soft solids containing air bubbles.
Contrary to standard porous materials, the softness of the matrix allows for a
coupling of the matrix elasticity to surface tension forces brought in by the
bubbles. Thanks to appropriate experiments on model systems, we show how the
elastic response of the dispersions is governed by two dimensionless
parameters: the gas volume fraction and a capillary number comparing the
elasticity of the matrix to the stiffness of the bubbles. We also show that our
experimental results are in good agreement with computations of the shear
modulus through a micro-mechanical approach.


title: Mittag-Leffler functions and complete monotonicity

abstract:
  We consider two operations on the Mittag-Leffler function which cancel the
exponential term in the expansion at infinity, and generate a completely
monotonic function. The first one is the action of a certain
differential-difference operator, and leads to a characterization via some
necktie domain. The second one is the subtraction of the exponential term
itself multiplied by an incomplete Gamma function. These results extend
previous works by various authors.


title:
A hierarchy of bound states in the 1D ferromagnetic Ising chain
  CoNb$_2$O$_6$ investigated by high resolution time-domain terahertz
  spectroscopy

abstract:
  Kink bound states in the one dimensional ferromagnetic Ising chain compound
CoNb$_2$O$_6$ have been studied using high resolution time-domain terahertz
spectroscopy in zero applied magnetic field. When magnetic order develops at
low temperature, nine bound states of kinks become visible. Their energies can
be modeled exceedingly well by the Airy function solutions to a 1D
Schr\"odinger equation with a linear confining potential. This sequence of
bound states terminates at a threshold energy near two times the energy of the
lowest bound state. Above this energy scale we observe a broad feature
consistent with the onset of the two particle continuum. At energies just below
this threshold we observe a prominent excitation that we interpret as a novel
bound state of bound states -- two pairs of kinks on neighboring chains.


title: Higher Auslander-Reiten sequences and $t$-structures

abstract:
  Let $R$ be an artin algebra and $\mathcal{C}$ an additive subcategory of
$\operatorname{mod}(R)$. We construct a $t$-structure on the homotopy category
$\operatorname{K}^{-}(\mathcal{C})$ whose heart $\mathcal{H}_{\mathcal{C}}$ is
a natural domain for higher Auslander-Reiten (AR) theory. The abelian
categories $\mathcal{H}_{\operatorname{mod}(R)}$ (which is the natural domain
for classical AR theory) and $\mathcal{H}_{\mathcal{C}}$ interact via various
functors. If $\mathcal{C}$ is functorially finite then
$\mathcal{H}_{\mathcal{C}}$ is a quotient category of
$\mathcal{H}_{\operatorname{mod}(R)}$. We illustrate the theory with two
examples:
  Iyama developed a higher AR theory when $\mathcal{C}$ is a maximal
$n$-orthogonal subcategory, see \cite{I}. In this case we show that the simple
objects of $\mathcal{H}_{\mathcal{C}}$ correspond to Iyama's higher AR
sequences and derive his higher AR duality from the existence of a Serre
functor on the derived category
$\operatorname{D}^b(\mathcal{H}_{\mathcal{C}})$.
  The category $\mathcal{O}$ of a complex semi-simple Lie algebra
$\mathfrak{g}$ fits into higher AR theory by considering $R$ to be the
coinvariant algebra of the Weyl group of $\mathfrak{g}$.


title: Thermodynamics of Lovelock black holes with a nonminimal scalar field

abstract:
  We source the Lovelock gravity theories indexed by an integer k and fixed by
requiring a unique anti-de Sitter vacuum with a self-interacting nonminimal
scalar field in arbitrary dimension d. For each inequivalent Lovelock gravity
theory indexed by the integer k, we establish the existence of a two-parametric
self-interacting potential that permits to derive a class of black hole
solutions with planar horizon for any arbitrary value of the nonminimal
coupling parameter. In the thermodynamical analysis of the solution, we show
that, once regularized the Euclidean action, the mass contribution coming form
the gravity side exactly cancels, order by order, the one arising from the
matter part yielding to a vanishing mass. This result is in accordance with the
fact that the entropy of the solution, being proportional to the lapse function
evaluated at the horizon, also vanishes. Consequently, the integration constant
appearing in the solution is interpreted as a sort of hair which turns out to
vanish at high temperature.


title: On axionic dark matter in Type IIA string theory

abstract:
  We investigate viable scenarios with various axions in the context of
supersymmetric field theory and in globally consistent D-brane models. The
Peccei-Quinn symmetry is associated with an anomalous U(1) symmetry, which
acquires mass at the string scale but remains as a perturbative global symmetry
at low energies. The origin of the scalar Higgs-axion potential from F-, D- and
soft breaking terms is derived, and two Standard Model examples of global
intersecting D6-brane models in Type II orientifolds are presented, which
differ in the realisation of the Higgs sector and in the hidden sector, the
latter of which is of particluar importance for the soft supersymmetry breaking
terms.


title: On the precanonical structure of the Schr\"odinger wave functional

abstract:
  We show that the Schr\"odinger wave functional may be obtained as the product
integral of precanonical wave functions on the space of field and space-time
variables. The functional derivative Schr\"odinger equation underlying the
canonical field quantization is derived from the partial derivative covariant
analogue of the Schr\"odinger equation, which appears in the precanonical field
quantization based on the De Donder-Weyl generalization of the Hamiltonian
formalism for field theory. The representations of precanonical quantum
operators typically contain an ultraviolet parameter $\varkappa$ of the
dimension of the inverse spatial volume. The transition from the precanonical
description of quantum fields in terms of Clifford-valued wave functions and
partial derivative operators to the standard functional Schr\"odinger
representation obtained from canonical quantization is accomplished if
$\frac{1}{\varkappa}\rightarrow 0$ and $\frac{1}{\varkappa}\gamma_0$ is mapped
to the infinitesimal spatial volume element $\mathrm{d}\mathbf{x}$. Thus the
standard QFT obtained via canonical quantization corresponds to the quantum
theory of fields derived via precanonical quantization in the limiting case of
an infinitesimal value of the parameter $\frac{1}{\varkappa}$.


title:
Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome
  Heisenberg Model

abstract:
  The fractional quantum Hall effect (FQHE) realized in two-dimensional
electron systems under a magnetic field is one of the most remarkable
discoveries in condensed matter physics. Interestingly, it has been proposed
that FQHE can also emerge in time-reversal invariant spin systems, known as the
chiral spin liquid (CSL) characterized by the topological order and the
emerging of the fractionalized quasiparticles. A CSL can naturally lead to the
exotic superconductivity originating from the condense of anyonic
quasiparticles. Although CSL was highly sought after for more than twenty
years, it had never been found in a spin isotropic Heisenberg model or related
materials. By developing a density-matrix renormalization group based method
for adiabatically inserting flux, we discover a FQHE in a spin-$\frac{1}{2}$
isotropic kagome Heisenberg model. We identify this FQHE state as the
long-sought CSL with a uniform chiral order spontaneously breaking time
reversal symmetry, which is uniquely characterized by the half-integer
quantized topological Chern number protected by a robust excitation gap. The
CSL is found to be at the neighbor of the previously identified $Z_2$ spin
liquid, which may lead to an exotic quantum phase transition between two gapped
topological spin liquids.


title: Super-Liouville - Double Liouville correspondence

abstract:
  The AGT motivated relation between the tensor product of the N = 1
super-Liouville field theory with the imaginary free fermion (SL) and a certain
projected tensor product of the real and the imaginary Liouville field theories
(LL) is analyzed. Using conformal field theory techniques we give a complete
proof of the equivalence in the NS sector. It is shown that the SL-LL
correspondence is based on the equivalence of chiral objects including suitably
chosen chiral structure constants of all the three Liouville theories involved.


title:
Weyl-Heisenberg Spaces for Robust Orthogonal Frequency Division
  Multiplexing

abstract:
  Design of Weyl-Heisenberg sets of waveforms for robust orthogonal frequency
division multiplex- ing (OFDM) has been the subject of a considerable volume of
work. In this paper, a complete parameterization of orthogonal Weyl-Heisenberg
sets and their corresponding biorthogonal sets is given. Several examples of
Weyl-Heisenberg sets designed using this parameterization are pre- sented,
which in simulations show a high potential for enabling OFDM robust to
frequency offset, timing mismatch, and narrow-band interference.


title:
Cut-off for lamplighter chains on tori: dimension interpolation and
  phase transition

abstract:
  Given a finite, connected graph $G$, the lamplighter chain on $G$ is the lazy
random walk $X^\diamond$ on the associated lamplighter graph
$G^\diamond={\mathbf Z}_2 \wr G$. The mixing time of the lamplighter chain on
the torus ${\mathbf Z}_n^d$ is known to have a cutoff at a time asymptotic to
the cover time of ${\mathbf Z}_n^d$ if $d=2$, and to half the cover time if $d
\ge 3$. We show that the mixing time of the lamplighter chain on
$G_n(a)={\mathbf Z}_n^2 \times {\mathbf Z}_{a \log n}$ has a cutoff at
$\psi(a)$ times the cover time of $G_n(a)$ as $n \to \infty$, where $\psi$ is
an explicit weakly decreasing map from $(0,\infty)$ onto $[1/2,1)$. In
particular, as $a > 0$ varies, the threshold continuously interpolates between
the known thresholds for ${\mathbf Z}_n^2$ and ${\mathbf Z}_n^3$. Perhaps
surprisingly, we find a phase transition (non-smoothness of $\psi$) at the
point $a_*=\pi r_3 (1+\sqrt{2})$, where high dimensional behavior
($\psi(a)=1/2$ for all $a \ge a_*$) commences. Here $r_3$ is the effective
resistance from $0$ to $\infty$ in ${\mathbf Z}^3$.


title:
Robust quantum gates for singlet-triplet spin qubits using composite
  pulses

abstract:
  We present a comprehensive theoretical treatment of SUPCODE, a method for
generating dynamically corrected quantum gate operations, which are immune to
random noise in the environment, by using carefully designed sequences of soft
pulses. SUPCODE enables dynamical error suppression even when the control field
is constrained to be positive and uniaxial, making it particularly suited to
counteracting the effects of noise in systems subject to these constraints such
as singlet-triplet qubits. We describe and explain in detail how to generate
SUPCODE pulse sequences for arbitrary single-qubit gates and provide several
explicit examples of sequences that implement commonly used gates, including
the single-qubit Clifford gates. We develop sequences for noise-resistant
two-qubit gates for two exchanged-coupled singlet-triplet qubits by cascading
robust single-qubit gates, leading to a 35% reduction in gate time compared to
previous works. This cascade approach can be scaled up to produce gates for an
arbitrary-length spin qubit array, and is thus relevant to scalable quantum
computing architectures. To more accurately describe real spin qubit
experiments, we show how to design sequences that incorporate additional
features and practical constraints such as sample-specific charge noise models
and finite pulse rise times. We provide a detailed analysis based on randomized
benchmarking to show how SUPCODE gates perform under realistic $1/f^\alpha$
noise and find a strong dependence of gate fidelity on the exponent $\alpha$,
with best performance for $\alpha>1$. Our SUPCODE sequences can therefore be
used to implement robust universal quantum computation while accommodating the
fundamental constraints and experimental realities of singlet-triplet qubits.


title: A Computational Trichotomy for Connectivity of Boolean Satisfiability

abstract:
  For Boolean satisfiability problems, the structure of the solution space is
characterized by the solution graph, where the vertices are the solutions, and
two solutions are connected iff they differ in exactly one variable. In 2006,
Gopalan et al. studied connectivity properties of the solution graph and
related complexity issues for CSPs, motivated mainly by research on
satisfiability algorithms and the satisfiability threshold. They proved
dichotomies for the diameter of connected components and for the complexity of
the st-connectivity question, and conjectured a trichotomy for the connectivity
question.
  Building on this work, we here prove the trichotomy: Connectivity is either
in P, coNP-complete, or PSPACE-complete. Also, we correct a minor mistake of
Gopalan et al., which leads to a slight shift of the boundaries towards the
hard side.


title:
Detection of Thermal SZ -- CMB Lensing Cross-Correlation in Planck
  Nominal Mission Data

abstract:
  The nominal mission maps from the Planck satellite contain a wealth of
information about secondary anisotropies in the cosmic microwave background
(CMB), including those induced by the thermal Sunyaev-Zel'dovich (tSZ) effect
and gravitational lensing. As both the tSZ and CMB lensing signals trace the
large-scale matter density field, the anisotropies sourced by these processes
are expected to be correlated. We report the first detection of this
cross-correlation signal, which we measure at 6.2 sigma significance using the
Planck data. We take advantage of Planck's multifrequency coverage to construct
a tSZ map using internal linear combination techniques, which we subsequently
cross-correlate with the publicly-released Planck CMB lensing potential map.
[Abridged] We interpret the signal using halo model calculations, which
indicate that the tSZ -- CMB lensing cross-correlation is a unique probe of the
physics of intracluster gas in high-redshift, low-mass groups and clusters. Our
results are consistent with extrapolations of existing gas physics models to
this previously unexplored regime and show clear evidence for contributions
from both the one- and two-halo terms, but no statistically significant
evidence for contributions from diffuse, unbound gas outside of collapsed
halos. We also show that the amplitude of the signal depends rather sensitively
on the amplitude of fluctuations ($\sigma_8$) and the matter density
($\Omega_m$). We constrain the degenerate combination $\sigma_8
(\Omega_m/0.282)^{0.26} = 0.824 \pm 0.029$, a result that is in less tension
with primordial CMB constraints than some recent tSZ analyses. Our detection is
a direct confirmation that hot, ionized gas traces the dark matter distribution
over a wide range of scales in the universe ($\sim 0.1$--$50 \, {\rm Mpc}/h$).


title: Gas bulk motion in the Perseus cluster measured with SUZAKU

abstract:
  We present the results from Suzaku observations of the Perseus galaxy
cluster, which is relatively close, the brightest in the X-ray sky and a
relaxed object with a cool core. A number of exposures of central regions and
offset pointing with the X-ray Imaging Spectrometer cover a region within radii
of 20'-30'. The central data are used to evaluate the instrumental energy-scale
calibration with accuracy confirmed to within around 300 km/s, by the spatial
and temporal variation of the instruments. These deep and well-calibrated data
are used to measure X-ray redshifts of the intracluster medium. A hint of gas
bulk motion, with radial velocity of about -(150-300) km/s, relative to the
main system was found at 2-4 arcmin (45-90kpc) west of the cluster center,
where an X-ray excess and a cold front were found previously. No other velocity
structure was discovered. Over spatial scales of 50-100kpc and within 200kpc
radii of the center, the gas-radial-velocity variation is below 300 km/s, while
over scales of 400 kpc within 600 kpc radii, the variation is below 600 km/s.
These X-ray redshift distributions are compared spatially with those of optical
member galaxies for the first time in galaxy clusters. Based on X-ray line
widths gas turbulent velocities within these regions are also constrained
within 1000-3000 km/s. These results of gas dynamics in the core and larger
scales in association with cluster merger activities are discussed and future
potential of high-energy resolution spectroscopy with ASTRO-H is considered.


title: Probable convexity and its application to Correlated Topic Models

abstract:
  Non-convex optimization problems often arise from probabilistic modeling,
such as estimation of posterior distributions. Non-convexity makes the problems
intractable, and poses various obstacles for us to design efficient algorithms.
In this work, we attack non-convexity by first introducing the concept of
\emph{probable convexity} for analyzing convexity of real functions in
practice. We then use the new concept to analyze an inference problem in the
\emph{Correlated Topic Model} (CTM) and related nonconjugate models. Contrary
to the existing belief of intractability, we show that this inference problem
is concave under certain conditions. One consequence of our analyses is a novel
algorithm for learning CTM which is significantly more scalable and qualitative
than existing methods. Finally, we highlight that stochastic gradient
algorithms might be a practical choice to resolve efficiently non-convex
problems. This finding might find beneficial in many contexts which are beyond
probabilistic modeling.


title:
A New Approach to the Yang-Mills Gauge Theory of Gravity and its
  Applications

abstract:
  We shall give dynamics to our spacetime manifold by first identifying the
local affine symmetry as the characterizing symmetry for our geometry a'la
Felix Klein, this symmetry is imposed on us by the Law of Inertia and the Law
of Causality. We then prescribe 16 gauge vector bosons to this symmetry a'la
Yang and Mills. The locally affine symmetric Yang-Mills Lagrangian in the
presence of a background world metric, and the corresponding equations of
motion, are respectively constructed and derived. Spontaneous breaking of the
local affine symmetry to the local Lorentz symmetry is achieved by classical
solutions to the equations of motion. In these classical solutions, the 16
gauge vector bosons are shown to select the Schwarzschild metric as one among
the admissible background world metrics. Classical gravity is thus be expressed
by a spontaneously broken Erlangen program. We shall also show that this
Yang-Mills gauge theory of gravity can give an explanation of the form of the
galactic rotation curves, of the amount of intergalactic gravitational lensing,
and of the accelerating expansion of the Universe.


title: Black Hole Superradiance in Dynamical Spacetime

abstract:
  We study the superradiant scattering of gravitational waves by a nearly
extremal black hole (dimensionless spin $a=0.99$) by numerically solving the
full Einstein field equations, thus including backreaction effects. This allows
us to study the dynamics of the black hole as it loses energy and angular
momentum during the scattering process. To explore the nonlinear phase of the
interaction, we consider gravitational wave packets with initial energies up to
$10%$ of the mass of the black hole. We find that as the incident wave energy
increases, the amplification of the scattered waves, as well as the energy
extraction efficiency from the black hole, is reduced. During the interaction
the apparent horizon geometry undergoes sizable nonaxisymmetric oscillations.
The largest amplitude excitations occur when the peak frequency of the incident
wave packet is above where superradiance occurs, but close to the dominant
quasinormal mode frequency of the black hole.


title:
Disentangling interacting dark energy cosmologies with the three-point
  correlation function

abstract:
  We investigate the possibility of constraining coupled dark energy (cDE)
cosmologies using the three-point correlation function (3PCF). Making use of
the CoDECS N-body simulations, we study the statistical properties of cold dark
matter (CDM) haloes for a variety of models, including a fiducial $\Lambda$CDM
scenario and five models in which dark energy (DE) and CDM mutually interact.
We measure both the halo 3PCF, $\zeta(\theta)$, and the reduced 3PCF,
$Q(\theta)$, at different scales ($2<r\,[$Mpc\h$]<40$) and redshifts ($0\leq
z\leq2$). In all cDE models considered in this work, $Q(\theta)$ appears flat
at small scales (for all redshifts) and at low redshifts (for all scales),
while it builds up the characteristic V-shape anisotropy at increasing
redshifts and scales. With respect to the $\Lambda $CDM predictions, cDE models
show lower (higher) values of the halo 3PCF for perpendicular (elongated)
configurations. The effect is also scale-dependent, with differences between
$\Lambda$CDM and cDE models that increase at large scales. We made use of these
measurements to estimate the halo bias, that results in fair agreement with the
one computed from the two-point correlation function (2PCF). The main advantage
of using both the 2PCF and 3PCF is to break the bias$-\sigma_{8}$ degeneracy.
Moreover, we find that our bias estimates are approximately independent of the
assumed strength of DE coupling. This study demonstrates the power of a
higher-order clustering analysis in discriminating between alternative
cosmological scenarios, for both present and forthcoming galaxy surveys, such
as e.g. BOSS and Euclid.


title:
Evolution from protoplanetary to debris discs: The transition disc
  around HD 166191

abstract:
  HD 166191 has been identified by several studies as hosting a rare and
extremely bright warm debris disc with an additional outer cool disc component.
However, an alternative interpretation is that the star hosts a disc that is
currently in transition between a full gas disc and a largely gas-free debris
disc. With the help of new optical to mid-IR spectra and Herschel imaging, we
argue that the latter interpretation is supported in several ways: i) we show
that HD 166191 is co-moving with the ~4 Myr-old Herbig Ae star HD 163296,
suggesting that the two have the same age, ii) the disc spectrum of HD 166191
is well matched by a standard radiative transfer model of a gaseous
protoplanetary disc with an inner hole, and iii) the HD 166191 mid-IR silicate
feature is more consistent with similarly primordial objects. We note some
potential issues with the debris disc interpretation that should be considered
for such extreme objects, whose lifetime at the current brightness is mush
shorter than the stellar age, or in the case of the outer component requires a
mass comparable to the solid component of the Solar nebula. These aspects
individually and collectively argue that HD 166191 is a 4-5 Myr old star that
hosts a gaseous transition disc. Though it does not argue in favour of either
scenario, we find strong evidence for 3-5 um disc variability. We place HD
166191 in context with discs at different evolutionary stages, showing that it
is a potentially important object for understanding the protoplanetary to
debris disc transition.


title: Three-Hair Relations for Rotating Stars: Nonrelativistic Limit

abstract:
  The gravitational field outside of astrophysical black holes is completely
described by their mass and spin frequency, as expressed by the no-hair
theorems. These theorems assume vacuum spacetimes, and thus they apply only to
black holes and not to stars. Despite this, we analytically find that the
gravitational potential of arbitrarily rapid rigidly rotating stars can still
be described completely by only their mass, spin angular momentum, and
quadrupole moment. Although these results are obtained in the nonrelativistic
limit (to leading order in a weak-field expansion of general relativity, GR),
they are also consistent with fully relativistic numerical calculations of
rotating neutron stars. This description of the gravitational potential outside
the source in terms of just three quantities is approximately universal
(independent of equation of state). Such universality may be used to break
degeneracies in pulsar and future gravitational wave observations to extract
more physics and test GR in the strong-field regime.


title: Satellite galaxies around present-day massive ellipticals

abstract:
  Using the spectroscopic New York University Value-Added Galaxy Catalogue and
the photometric photo-z catalogues of the Sloan Digital Sky Survey Data Release
7, we have explored the satellite distribution around ~1000 massive (M_star >
2x10^11 M_sun) visually classified elliptical galaxies down to a satellite mass
ratio of 1:400 (i.e. 5x10^8 < M_sat < 2x10^11 M_sun). Our host galaxies were
selected to be representative of a mass complete sample. The satellites of
these galaxies were searched within a projected radial distance of 100 kpc to
their hosts. We have found that only 20-23 per cent of the massive ellipticals
have at least a satellite down to a mass ratio 1:10. This number increases to
45-52 per cent if we explore satellites down to 1:100 and is $>$60-70 per cent
if we go further down to 1:400. The average projected radial distance of the
satellites to their hosts is ~59 kpc (which can be decreased at least down to
50 kpc if we account for incompleteness effects). The number of satellites per
galaxy host only increases very mildly at decreasing the satellite mass. The
fraction of mass which is contained in the satellites down to a mass ratio of
1:400 is 8 per cent of the total mass contained by the hosts. Satellites with a
mass ratio from 1:2 to 1:5 (with ~28 per cent of the total mass of the
satellites) are the main contributor to the total satellite mass. If the
satellites eventually infall into the host galaxies, the merger channel will be
largely dominated by satellites with a mass ratio down to 1:10 (as these
objects have 68 per cent of the total mass in satellites).


title:
The dusty torus in the Circinus galaxy: a dense disk and the torus
  funnel

abstract:
  (Abridged) With infrared interferometry it is possible to resolve the nuclear
dust distributions that are commonly associated with the dusty torus in active
galactic nuclei (AGN). The Circinus galaxy hosts the closest Seyfert 2 nucleus
and previous interferometric observations have shown that its nuclear dust
emission is well resolved.
  To better constrain the dust morphology in this active nucleus, extensive new
observations were carried out with MIDI at the Very Large Telescope
Interferometer.
  The emission is distributed in two distinct components: a disk-like emission
component with a size of ~ 0.2 $\times$ 1.1 pc and an extended component with a
size of ~ 0.8 $\times$ 1.9 pc. The disk-like component is elongated along PA ~
46{\deg} and oriented perpendicular to the ionisation cone and outflow. The
extended component is elongated along PA ~ 107{\deg}, roughly perpendicular to
the disk component and thus in polar direction. It is interpreted as emission
from the inner funnel of an extended dust distribution and shows a strong
increase in the extinction towards the south-east. We find no evidence of an
increase in the temperature of the dust towards the centre. From this we infer
that most of the near-infrared emission probably comes from parsec scales as
well. We further argue that the disk component alone is not sufficient to
provide the necessary obscuration and collimation of the ionising radiation and
outflow. The material responsible for this must instead be located on scales of
~ 1 pc, surrounding the disk.
  The clear separation of the dust emission into a disk-like emitter and a
polar elongated source will require an adaptation of our current understanding
of the dust emission in AGN. The lack of any evidence of an increase in the
dust temperature towards the centre poses a challenge for the picture of a
centrally heated dust distribution.


title: Combining Resummed Higgs Predictions Across Jet Bins

abstract:
  Experimental analyses often use jet binning to distinguish between different
kinematic regimes and separate contributions from background processes. To
accurately model theoretical uncertainties in these measurements, a consistent
description of the jet bins is required. We present a complete framework for
the combination of resummed results for production processes in different
exclusive jet bins, focusing on Higgs production in gluon fusion as an example.
We extend the resummation of the Higgs + 1-jet cross section into the
challenging low transverse momentum region, lowering the uncertainties
considerably. We provide combined predictions with resummation for cross
sections in the Higgs + 0-jet and Higgs + 1-jet bins, and give an improved
theory covariance matrix for use in experimental studies. We estimate that the
relevant theoretical uncertainties on the signal strength in the Higgs to WW
analysis are reduced by nearly a factor of 2 compared to the current value.


title: Clumping and quantum order: Quantum gravitational dynamics of NUT charge

abstract:
  Gravitational instantons with NUT charge are magnetic monopoles upon
dimensional reduction. We determine whether NUT charge can proliferate via the
Polyakov mechanism and partially screen gravitational interactions. In
semiclassical Einstein gravity, Taub-NUT instantons experience a universal
attractive force in the path integral that prevents proliferation. This
attraction further leads to semiclassical clumping instabilities, similar to
the known instabilities of hot flat space and the Kaluza-Klein vacuum. Beyond
pure Einstein gravity, NUT proliferation depends on the following question: is
the mass of a gravitational instanton in the theory always greater than its NUT
charge? Using spinorial methods we show that the answer to this question is
`yes' if all matter fields obey a natural Euclidean energy condition.
Therefore, the attractive force between instantons in the path integral wins
out and gravity is dynamically protected against screening. Semiclassical
gravity with a compactified circle can be self-consistently quantum ordered, at
the cost of suffering from clumping instabilities.


title:
Mayer-Cluster Expansion of Instanton Partition Functions and
  Thermodynamic Bethe Ansatz

abstract:
  In arXiv:0908.4052, Nekrasov and Shatashvili pointed out that the N=2
instanton partition function in a special limit of the Omega-deformation
parameters is characterized by certain thermodynamic Bethe ansatz (TBA) like
equations. In this work we present an explicit derivation of this fact as well
as generalizations to quiver gauge theories. To do so we combine various
techniques like the iterated Mayer expansion, the method of expansion by
regions, and the path integral tricks for non-perturbative summation. The TBA
equations derived entirely within gauge theory have been proposed to encode the
spectrum of a large class of quantum integrable systems. We hope that the
derivation presented in this paper elucidates further this completely new point
of view on the origin, as well as on the structure, of TBA equations in
integrable models.

categories: hep-th cond-mat.stat-mech math-ph math.MP


title:
Relativistic Pair Beams from TeV Blazars: A Source of Reprocessed GeV
  Emission rather than IGM Heating

abstract:
  The interaction of TeV photons from blazars with the extragalactic background
light produces a relativistic beam of electron-positron pairs streaming through
the intergalactic medium (IGM). The fate of the beam energy is uncertain. By
means of two- and three-dimensional particle-in-cell simulations, we study the
non-linear evolution of dilute ultra-relativistic pair beams propagating
through the IGM. We explore a wide range of beam Lorentz factors gamma_b>>1 and
beam-to-plasma density ratios alpha<<1, so that our results can be extrapolated
to the extreme parameters of blazar-induced beams (gamma_b~10^6 and
alpha~10^(-15), for the most powerful blazars). For cold beams, we show that
the oblique instability governs the early stages of evolution, but its
exponential growth terminates - due to self-heating of the beam in the
transverse direction - when only a negligible fraction
~(alpha/gamma_b)^(1/3)~10^(-7) of the beam energy has been transferred to the
IGM plasma. Further relaxation of the beam proceeds through quasi-longitudinal
modes, until the momentum dispersion in the direction of propagation saturates
at DeltaP_{b,parallel}/gamma_b m_e c ~ 0.2. This corresponds to a fraction ~10%
of the beam energy being ultimately transferred to the IGM plasma, irrespective
of gamma_b or alpha. If the initial dispersion in beam momentum satisfies
DeltaP_{b,parallel}/gamma_b m_e c > 0.2 (as typically expected for
blazar-induced beams), the fraction of beam energy deposited into the IGM is
much smaller than ~10%. It follows that at least ~90% of the beam energy is
still available to power the GeV emission produced by inverse Compton
up-scattering of the Cosmic Microwave Background by the beam pairs.


title:
Competing orders, competing anisotropies, and multicriticality: The case
  of Co-doped YbRh2Si2

abstract:
  Motivated by the unusual evolution of magnetic phases in stoichiometric and
Co-doped YbRh2Si2, we study Heisenberg models with competing ferromagnetic and
antiferromagnetic ordering combined with competing anisotropies in exchange
interactions and g factors. Utilizing large-scale classical Monte-Carlo
simulations, we analyze the ingredients required to obtain the characteristic
crossing point of uniform susceptibilities observed experimentally near the
ferromagnetic ordering of Yb(Rh0.73Co0.27)2Si2. The models possess
multicritical points, which we speculate to be relevant for the behavior of
clean as well as doped YbRh2Si2. We also make contact with experimental data on
YbNi4P2 where a similar susceptibility crossing has been observed.


title: NNLL Momentum-Space Resummation for Stop-Pair Production at the LHC

abstract:
  If supersymmetry near the TeV scale is realized in Nature, the pair
production of scalar top squarks is expected to be observable at the Large
Hadron Collider. Recently, effective field-theory methods were employed to
obtain approximate predictions for the cross section for this process, which
include soft-gluon emission effects up to next-to-next-to-leading order (NNLO)
in perturbation theory. In this work we employ the same techniques to resum
soft-gluon emission effects to all orders in perturbation theory and with
next-to-next-to-logarithmic (NNLL) accuracy. We analyze the effects of NNLL
resummation on the stop-pair production cross section by obtaining NLO+NNLL
predictions in pair invariant mass and one-particle inclusive kinematics. We
compare the results of these calculations to the approximate NNLO predictions
for the cross sections.


title: KIC11911480: the second ZZ Ceti in the $Kepler$ field

abstract:
  We report the discovery of the second pulsating hydrogen-rich (DA) white
dwarf in the $Kepler$ field, KIC11911480. It was selected from the $Kepler$-INT
Survey (KIS) on the basis of its colours and its variable nature was confirmed
using ground-based time-series photometry. An atmosphere model fit to an
intermediate-resolution spectrum of KIC11911480 places this DA white dwarf
close to the blue edge of the empirical boundaries of the ZZ Ceti instability
strip: $T_\mathrm{eff} = 12\,160 \pm 250$ K and $\log{g} = 7.94 \pm 0.10 $.
Assuming a mass-radius relation and cooling models for DA white dwarfs, the
atmospheric parameters yield: M$_{\rm WD}$ = 0.57 $\pm$ 0.06 M$_\odot$. We also
obtained two quarters (Q12 and Q16) of nearly uninterrupted short-cadence
$Kepler$ data on this star. We detect a total of six independent pulsation
modes with a $\geq$ 3$\sigma$ confidence in its amplitude power spectrum. These
pulsations have periods ranging between 172.9 s and 324.5 s, typical of the
hotter ZZ Ceti stars. Our preliminary asteroseismic study suggest that
KIC11911480 has a rotation rate of 3.5$\pm$0.5 days.


title: Exceptional Field Theory II: E$_{7(7)}$

abstract:
  We introduce exceptional field theory for the group E_{7(7)}, based on a
(4+56)-dimensional spacetime subject to a covariant section condition. The
`internal' generalized diffeomorphisms of the coordinates in the fundamental
representation of E_{7(7)} are governed by a covariant `E-bracket', which is
gauged by 56 vector fields. We construct the complete and unique set of field
equations that is gauge invariant under generalized diffeomorphisms in the
internal and external coordinates. Among them feature the non-abelian twisted
self-duality equations for the 56 gauge vectors. We discuss the explicit
solutions of the section condition describing the embedding of the full,
untruncated 11-dimensional and type IIB supergravity, respectively. As a new
feature compared to the previously constructed E_{6(6)} formulation, some
components among the 56 gauge vectors descend from the 11-dimensional dual
graviton but nevertheless allow for a consistent coupling by virtue of a
covariantly constrained compensating 2-form gauge field.


title: Fundamental Mass-Spin-Morphology Relation of Spiral Galaxies

abstract:
  This work present high-precision measurements of the specific baryon angular
momentum jb, contained in stars, atomic gas, and molecular gas, out to ~10
scale radii, in 16 nearby spiral galaxies of the THINGS sample. The accuracy of
these measurements improves on existing studies by an order of magnitude,
leading to the discovery of a strong correlation between the baryon mass Mb,
jb, and the bulge mass fraction B/T, fitted by
B/T=-(0.34+-0.03)*log(jb/Mb/[1e-7 kpc km/s/Msun])-(0.04+-0.01) on the full
sample range of B/T=0.00-0.32 and Mb/Msun=1e9-1e11. The corresponding relation
for the stellar quantities Ms and js is identical within the uncertainties.
These M-j-B/T relations likely originate from the proportionality between j/M
and the surface density of the disk that dictates its stability against
(pseudo-)bulge formation. Using a CDM model, we can approximately explain
classical scaling relations, such as the fundamental plane of spiral galaxies,
the Tully-Fisher relation, and the mass-size relation, in terms of the M-j-B/T
relation. These results advocate the use of mass and angular momentum as the
most fundamental quantities of spiral galaxies.


title:
The Core Mass Growth and Stellar Lifetime of Thermally Pulsing
  Asymptotic Giant Branch Stars

abstract:
  We establish new constraints on the intermediate-mass range of the
initial-final mass relation by studying white dwarfs in four young star
clusters, and apply the results to study the evolution of stars on the
thermally pulsing asymptotic giant branch (TP-AGB). We show that the stellar
core mass on the AGB grows rapidly from 10% to 30% for stars with $M_{\rm
initial}$ = 1.6 to 2.0 $M_\odot$. At larger masses, the core-mass growth
decreases steadily to $\sim$10% at $M_{\rm initial}$ = 3.4 $M_\odot$. These
observations are in excellent agreement with predictions from the latest TP-AGB
evolutionary models in Marigo et al. (2013). We also compare to models with
varying efficiencies of the third dredge-up and mass loss, and demonstrate that
the process governing the growth of the core is largely the stellar wind, while
the third dredge-up plays a secondary, but non-negligible role. Based on the
new white dwarf measurements, we perform an exploratory calibration of the most
popular mass-loss prescriptions in the literature. Finally, we estimate the
lifetime and the integrated luminosity of stars on the TP-AGB to peak at $t$
$\sim$ 3 Myr and $E$ = 1.2 $\times$ 10$^{10}$ $L_\odot$ yr for $M_{\rm
initial}$ $\sim$ 2 $M_\odot$ ($t$ $\sim$ 2 Myr for luminosities brighter than
the RGB tip at $\log(L/L_{\odot})$ $>$ 3.4), decreasing to $t$ = 0.4 Myr and
$E$ = 6.1 $\times$ 10$^{9}$ $L_\odot$ yr for stars with $M_{\rm initial}$
$\sim$ 3.5 $M_\odot$. The implications of these results are discussed with
respect to general population synthesis studies that require correct modeling
of the TP-AGB phase of stellar evolution.


title:
iSpec: An integrated software framework for the analysis of stellar
  spectra

abstract:
  iSpec is an integrated spectroscopic software framework suitable for the
creation of spectral libraries such as the Benchmark Stars library and the
determination of atmospheric parameters (i.e. effective temperature, surface
gravity, metallicity) and individual chemical abundances.
  The framework can be used in automatic massive analysis, but it also includes
a user-friendly visual interface that can easily interoperate with other
astronomical applications such as TOPCAT, VOSpec and splat which provide access
to the Virtual Observatory.


title:
Virgo Cluster and field dwarf ellipticals in 3D - II. Internal dynamics
  points to tidal harassment?

abstract:
  We present the dynamical analysis of a sample of 12 dwarf elliptical (dE)
galaxies for which we have obtained SAURON large-scale two-dimensional
spectroscopic data. We construct Jeans axisymmetric models and obtain total
dynamical masses enclosed within one effective radius. We use the obtained
values to show that the validity of the dynamical scaling relations of massive
early-type galaxies can be extended to these low-mass systems, except that dEs
seem to contain relatively larger fraction of dark matter in their inner parts.
We then demonstrate that dE galaxies have lower angular momenta than the
present-day analogues of their presumed late-type progenitors and we show that
dE circular velocity curves are steeper than the rotation curves of galaxies
with equal and up to an order of magnitude higher luminosity. This requires a
transformation mechanism that is not only able to lower the angular momentum
but also one that needs to account for increased stellar concentration.
Additionally, we match the dark matter fraction of our galaxies to their
location in the Virgo Cluster and see that galaxies in the cluster outskirts
tend to have a higher dark-to-stellar matter ratio. Transformation due to tidal
harassment is able to expain all of the above, unless the dE progenitors were
already compact and had lower angular momenta at higher redshifts.


title: Prompt emission of GRB 121217A from gamma-rays to the NIR

abstract:
  The mechanism that causes the prompt-emission episode of gamma-ray bursts
(GRBs) is still widely debated despite there being thousands of prompt
detections. The favoured internal shock model relates this emission to
synchrotron radiation. However, it does not always explain the spectral indices
of the shape of the spectrum, often fit with empirical functions.
Multi-wavelength observations are therefore required to help investigate the
possible underlying mechanisms that causes the prompt emission. We present GRB
121217A, for which we were able to observe its near-infrared (NIR) emission
during a secondary prompt-emission episode with the Gamma-Ray Burst Optical
Near-infrared Detector (GROND) in combination with the Swift and Fermi
satellites, covering an energy range of 0.001 keV to 100 keV. We determine a
photometric redshift of z=3.1+/-0.1 with a line-of-sight extinction of A_V~0
mag, utilising the optical/NIR SED. From the afterglow, we determine a bulk
Lorentz factor of Gamma~250 and an emission radius of R<10^18 cm. The
prompt-emission broadband spectral energy distribution is well fit with a
broken power law with b1=-0.3+/-0.1, b2=0.6+/-0.1 that has a break at
E=6.6+/-0.9 keV, which can be interpreted as the maximum injection frequency.
Self-absorption by the electron population below energies of E_a<6 keV suggest
a magnetic field strength of B~10^5 G. However, all the best fit models
underpredict the flux observed in the NIR wavelengths, which also only
rebrightens by a factor of ~2 during the second prompt emission episode, in
stark contrast to the X-ray emission, which rebrightens by a factor of ~100,
suggesting an afterglow component is dominating the emission. We present GRB
121217A one of the few GRBs for which there are multi-wavelength observations
of the prompt-emission period and show that it can be understood with a
synchrotron radiation model.


title: WFIRST Science with a Probe Class Mission

abstract:
  WFIRST is the highest priority space mission of the Decadal review, however,
it is unlikely to begin in this decade primarily due to a anticipated NASA
budget that is unlikely to have sufficient resources to fund such a mission.
For this reason we present a lower cost mission that accomplishes all of the
WFIRST science as described in the Design Reference Mission 1 with a probe
class design. This is effort is motivated by a desire to begin WFIRST in a
timely manner and within a budget that can fit within the assets available to
NASA on a realistic basis. The design utilizes dichroics to form four focal
planes all having the same field of view to use the majority of available
photons from a 1.2 meter telescope.


title:
The gauge structure of Exceptional Field Theories and the tensor
  hierarchy

abstract:
  We address the construction of manifest U-duality invariant generalized
diffeomorphisms. The closure of the algebra requires an extension of the
tangent space to include a tensor hierarchy indicating the existence of an
underlying unifying structure, compatible with E_{11} and Borcherds algebras
constructions. We begin with four-dimensional gauged maximal supergravity, and
build a generalized Lie derivative that encodes all the gauge transformations
of the theory. A generalized frame is introduced, which accommodates for all
the degrees of freedom, including the tensor hierarchy. The generalized Lie
derivative defines generalized field-dependent fluxes containing all the
covariant quantities in the theory, and the closure conditions give rise to
their corresponding Bianchi Identities. We then move towards the construction
of a full generalized Lie derivative defined on an extended space, analyze the
closure conditions, and explore the connection with that of maximal gauged
supergravity via a generalized Scherk-Schwarz reduction, and with
11-dimensional supergravity.


title:
Harmonic functions on the lattice: Absolute monotonicity and propagation
  of smallness

abstract:
  In this work we establish a connection between two classical notions,
unrelated so far: Harmonic functions on the one hand and absolutely monotonic
functions on the other hand. We use this to prove convexity type and
propagation of smallness results for harmonic functions on the lattice.


title:
Comparative Analysis of Viterbi Training and Maximum Likelihood
  Estimation for HMMs

abstract:
  We present an asymptotic analysis of Viterbi Training (VT) and contrast it
with a more conventional Maximum Likelihood (ML) approach to parameter
estimation in Hidden Markov Models. While ML estimator works by (locally)
maximizing the likelihood of the observed data, VT seeks to maximize the
probability of the most likely hidden state sequence. We develop an analytical
framework based on a generating function formalism and illustrate it on an
exactly solvable model of HMM with one unambiguous symbol. For this particular
model the ML objective function is continuously degenerate. VT objective, in
contrast, is shown to have only finite degeneracy. Furthermore, VT converges
faster and results in sparser (simpler) models, thus realizing an automatic
Occam's razor for HMM learning. For more general scenario VT can be worse
compared to ML but still capable of correctly recovering most of the
parameters.


title:
Intelligent Bug Algorithm (IBA): A Novel Strategy to Navigate Mobile
  Robots Autonomously

abstract:
  This research proposed an intelligent obstacle avoidance algorithm to
navigate an autonomous mobile robot. The presented Intelligent Bug Algorithm
(IBA) over performs and reaches the goal in relatively less time as compared to
existing Bug algorithms. The improved algorithm offers a goal oriented strategy
by following smooth and short trajectory. This has been achieved by
continuously considering the goal position during obstacle avoidance. The
proposed algorithm is computationally inexpensive and easy to tune. The paper
also presents the performance comparison of IBA and reported Bug algorithms.
Simulation results of robot navigation in an environment with obstacles
demonstrate the performance of the improved algorithm.


title: Modeling exclusive meson pair production at hadron colliders

abstract:
  We present a study of the central exclusive production of light meson pairs,
concentrating on the region of lower invariant masses of the central system
and/or meson transverse momentum, where perturbative QCD cannot be reliably
applied. We describe in detail a phenomenological model, using the tools of
Regge theory, that may be applied with some success in this regime, and we
present the new, publicly available, Dime Monte Carlo (MC) implementation of
this for $\pi\pi$, $KK$ and $\rho\rho$ production. The MC includes a fully
differential treatment of the survival factor, which in general depends on all
kinematic variables, as well as allowing for the so far reasonably
unconstrained model parameters to be set by the user. We present predictions
for the Tevatron and LHC and show how future measurements may further test this
Regge--based approach, as well as the soft hadronic model required to calculate
the survival factor, in particular in the presence of tagged protons.


title:
Strictly continuous extension of functionals with linear growth to the
  space BV

abstract:
  The main result of this paper is a proof of the continuity of a family of
integral functionals defined on the space of functions of bounded variation
with respect to a topology under which smooth functions are dense. These
functionals occur often in the Calculus of Variations as the extension of
integral problems defined over weakly differentiable functions with linear
growth, and the result in this paper sheds light on the question of what the
'correct' extension is in this context. The result is proved via a combination
of Reshetnyak's Continuity Theorem and a map assigning a lifting
$\mu[u]\in\mathbf{M}(\Omega\times\mathbb{R}^m;\mathbb{R}^{m\times d})$ to each
$u\in BV(\Omega;\mathbb{R}^{m})$ and is valid for a large class of integrands
satisfying $|f(x,y,A)|\leq C(1+|y|^{d/(d-1)}+|A|)$. In the case where $f$
exhibits $d/(d-1)$ growth in the $y$ variable, an embedding result from the
theory of concentration-compactness is needed.


title: Semi-invariants and Integrals of the Full Symmetric sl(n) Toda Lattice

abstract:
  We consider the full symmetric version of the Lax operator of the Toda
lattice which is known as the full symmetric Toda lattice. The phase space of
this system is the generic orbit of the coadjoint action of the Borel subgroup
B^+(n) of SL(n,R). This system is integrable. We propose a new method of
constructing semi-invariants and integrals of the full symmetric Toda lattice.
Using only the Toda equations for the Lax eigenvector matrix we prove the
existence of the semi-invariants which are Plucker coordinates in the
corresponding projective spaces. Then we use these semi-invariants to construct
the integrals. It is known that the full symmetric sl(n) Toda lattice has
additional integrals which can be produced by Kostant procedure except for the
integrals which can be derived by the chopping procedure. Altogether these
integrals constitute a full set of the independent non-involutive integrals.
Yet the unsolved complicated technical problem is their explicit derivation
since Kostant procedure has crucial computational complexities even for
low-rank Lax matrices and is practically unapplicable for higher ranks. Our new
approach provides a resolution of this problem and results in simple explicit
formulae for the full set of independent semi-invariants and integrals
expressed both in terms of the Lax matrix and its eigenvector and eigenvalue
matrices of the full symmetric sl(n) Toda lattice without using the chopping
and Kostant procedures. We also describe the structure of the additional
integrals of motion as functions on the flag space modulo the Toda flows and
show how Plucker coordinates of different projective spaces define different
families of the additional integrals. In this paper we present detailed proofs
of the propositions of [24].


title:
Studies of Azimuthal Modulations in Two Hadron Fragmentation of a
  Transversely Polarised Quark

abstract:
  We study the azimuthal modulations of dihadron fragmentation functions
(DiFFs) of a transversely polarised quark using an NJL-jet based model that
incorporates the Collins effect for single hadron emission. The DiFFs are
extracted as Monte Carlo (MC) averages of corresponding multiplicities using
their probabilistic interpretation. To simplify the model and highlight the
possible mechanisms that create this modulation, we choose the elementary
Collins function to be proportional to the elementary unpolarised fragmentation
and a constant probability ($P_{SF}$) for the quark to flip its spin after a
single hadron emission. Moreover, as a leading order calculation, only one of
the produced hadrons in the decay chain of the quark is produced with
elementary Collins modulation. We calculate the dependence of the polarised
DiFFs on various angles such as the azimuthal angle of the single hadron and
the angle of the two hadron production plane $\varphi_R$ for several values of
$P_{SF}$. We observe that the polarised DiFFs for oppositely charged pion pairs
exhibit a $\sin(\varphi_R)$ modulation. This effect is induced purely via the
elementary Collins effect and persists even when the quark completely
depolarises after a single hadron emission ($P_{SF}=0.5$). Moreover, similar
sine modulations are present in the distribution of pion pairs with respect to
the azimuthal angle of their total transverse momentum, $\varphi_T$.


title:
Comparison of the TIP4P-2005, SWM4-DP and BK3 interaction potentials of
  liquid water with respect to their consistency with neutron and X-ray
  diffraction data of pure water

abstract:
  Following a fairly comprehensive study on popular interaction potentials of
water (Pusztai et al., J. Chem. Phys., 2008, 129, 184103), here two more recent
polarizable potential sets, SWM4-DP (Lamoureux et al., Chem. Phys. Lett., 2006,
418, 245) and BK3 (Kiss et al., J. Chem. Phys., 2013, 138, 204507) are compared
to the TIP4P-2005 water potential (Abascal et al., J. Chem. Phys., 2005, 123,
234505) that had previously appeared to be most favoravble. The basis of
comparison was the compatibility with the results of neutron and X-ray
diffraction experiments on pure water, using the scheme applied by Pusztai et
al. (2008). The scheme combines the experimental total scattering structure
factors (TSSF) and partial radial distribution functions (PRDF) from molecular
dynamics simulations in a single structural model. Goodness-of-fit values to
the O-O, O-H and H-H simulated PRDF-s and to the experimental neutron and X-ray
TSSF provided a measure that can characterize the level of consistency between
interaction potentials and diffraction experiments. Among the sets of partial
RDF-s investigated here, the ones corresponding to the SWM4-DP potential
parameters have proven to be the most consistent with the particular
diffraction results taken for the present study, by a hardly significant margin
ahead of BK3. Perhaps more importantly, it is shown that the three sets of
potential parameters produce nearly equivalent PRDF-s that may all be made
consistent with diffraction data at a very high level. The largest differences
can be detected in terms of the O-O partial radial distribution function.


title:
Spiral antiferromagnets beyond the spin-wave approximation: frustrated
  $XY$ and Heisenberg models in the honeycomb lattice

abstract:
  We examine the stability of classical states with a generic incommensurate
spiral order against quantum fluctuations. Specifically, we focus on the
frustrated spin-1/2 $XY$ and Heisenberg models on the honeycomb lattice with
nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic
couplings. Our variational approach is based on the Jastrow wave functions,
which include quantum correlations on top of classical spin waves. We perform a
systematic optimization of wave vectors and Jastrow pseudo-potentials within
this class of variational states and find that quantum fluctuations favor
collinear states over generic coplanar spirals. The N\'eel state with ${\bf
Q}=(0,0)$ extends its stability well beyond the classical value $J_2/J_1=1/6$.
Most importantly, the collinear states with ${\bf Q}=(0,2\pi/\sqrt{3})$ (and
the two symmetry-related states) are found to be stable in a large regime with
intermediate frustration, while at the classical level they are limited to the
point $J_2/J_1=0.5$. For large frustration, the $120^\circ$ state is stabilized
for finite values of $J_2/J_1$ in both models.


title:
Two-dimensional core-softened model with water like properties. Study by
  thermodynamic perturbation theory

abstract:
  Thermodynamic properties of the particles interacting through smooth version
of Stell-Hemmer interaction were studied using Wertheim's thermodynamic
perturbation theory. The temperature dependence of molar volume, heat capacity,
isothermal compressibility and thermal expansion coefficient at constant
pressure for different number of bonding sites on particle were evaluated. The
model showed water-like anomalies for all evaluated quantities, but
thermodynamic perturbation theory does not properly predict the dependence of
these properties at a fixed number of bonding points.


title: Integrable interpolations: From exact CFTs to non-Abelian T-duals

abstract:
  We derive two new classes of integrable theories interpolating between exact
CFT WZW or gauged WZW models and non-Abelian T-duals of principal chiral models
or geometric coset models. They are naturally constructed by gauging symmetries
of integrable models. Our analysis implies that non-Abelian T-duality preserves
integrability and suggests a novel way to understand the global properties of
the corresponding backgrounds.


title: A novel cross-check of localization and non conformal holography

abstract:
  We precisely reproduce the perimeter law obeyed by Wilson loops on large
spatial contours in planar N=2 SYM at strong coupling, as recently deduced
using localization, by means of a dual holographic model. The relevant
supergravity background is sourced by D5-branes wrapped on a two-sphere in a
Calabi-Yau two-manifold. Thus, localization and holography are cross-checked,
for the first time, in a non conformal context where the gravity background is
not asymptotically Anti de Sitter and the dual gauge theory has a
logarithmically running coupling. We also notice that the same cross-check can
be performed considering an alternative holographic description of N=2 SYM
based on a background sourced by fractional D3-branes.


title:
Closed-loop liquid-liquid immiscibility in mixture of particles with
  spherically symmetric interaction

abstract:
  Thermodynamic perturbation theory for central-force (TPT-CF) type of
associating potential is used to study the phase behavior of symmetric binary
mixture of associating particles with spherically symmetric interaction. The
model is represented by the binary Yukawa hard-sphere mixture with additional
spherically symmetric square-well associative interaction located inside the
hard-core region and valid only between dissimilar species. To account for the
change of the system packing fraction due to association we propose an extended
version of the TPT-CF approach. In addition to the already known four types of
the phase diagram for binary mixtures we were able to identify the fifth type,
which is characterized by the absence of intersection of the $\lambda$-line
with the liquid-vapour binodals and by the appearance of the closed- loop
liquid-liquid immiscibility with upper and lower critical solution
temperatures.


title: AGN Absorption Linked to Host Galaxies

abstract:
  Multiwavelength identification of AGN is crucial not only to obtain a more
complete census, but also to learn about the physical state of the nuclear
activity (obscuration, efficiency, etc.). A panchromatic strategy plays an
especially important role when the host galaxies are star-forming. Selecting
far-Infrared galaxies at 0.3<z<1, and using AGN tracers in the X-ray, optical
spectra, mid-infrared, and radio regimes, we found a twice higher AGN fraction
than previous studies, thanks to the combined AGN identification methods and in
particular the recent Mass-Excitation (MEx) diagnostic diagram. We furthermore
find an intriguing relation between AGN X-ray absorption and the specific star
formation rate (sSFR) of the host galaxies, indicating a physical link between
X-ray absorption and either the gas fraction or the gas geometry in the hosts.
These findings have implications for our current understanding of both the AGN
unification model and the nature of the black hole-galaxy connection.
  These proceedings review selected results by Juneau et al. (2013, ApJ 764,
176), and their implications. The original work involved several members from
the GOODS and AEGIS teams.


title: Adaptive Stochastic Alternating Direction Method of Multipliers

abstract:
  The Alternating Direction Method of Multipliers (ADMM) has been studied for
years. The traditional ADMM algorithm needs to compute, at each iteration, an
(empirical) expected loss function on all training examples, resulting in a
computational complexity proportional to the number of training examples. To
reduce the time complexity, stochastic ADMM algorithms were proposed to replace
the expected function with a random loss function associated with one uniformly
drawn example plus a Bregman divergence. The Bregman divergence, however, is
derived from a simple second order proximal function, the half squared norm,
which could be a suboptimal choice.
  In this paper, we present a new family of stochastic ADMM algorithms with
optimal second order proximal functions, which produce a new family of adaptive
subgradient methods. We theoretically prove that their regret bounds are as
good as the bounds which could be achieved by the best proximal function that
can be chosen in hindsight. Encouraging empirical results on a variety of
real-world datasets confirm the effectiveness and efficiency of the proposed
algorithms.


title:
Exploiting Intrinsic Triangular Geometry in Relativistic He3+Au
  Collisions to Disentangle Medium Properties

abstract:
  Recent results in d+Au and p+Pb collisions at RHIC and the LHC provide
evidence for collective expansion and flow of the created medium. We propose a
control set of experiments to directly compare particle emission patterns from
p+Au, d+Au, and He3+Au or t+Au collisions at the same sqrt(sNN). Using Monte
Carlo Glauber we find that a He3 or triton projectile, with a realistic
wavefunction description, induces a significant intrinsic triangular shape to
the initial medium and that, even with viscous damping, this survives into a
significant third order flow moment v3. By comparing systems with one, two, and
three initial hot spots, one can disentangle the effects from the initial
spatial distribution of the deposited energy and viscous damping. These are key
tools to answering the question of how small a droplet of matter is necessary
to form a quark-gluon plasma described by nearly inviscid hydrodynamics.


title:
Density anomaly of charged hard spheres of different diameters in a
  mixture with core-softened model solvent. Monte Carlo simulation results

abstract:
  Very recently the effect of equisized charged hard sphere solutes in a
mixture with core-softened fluid model on the structural and thermodynamic
anomalies of the system has been explored in detail by using Monte Carlo
simulations and integral equations theory [J. Chem. Phys., 2012, 137, 244502].
Our objective of the present short work is to complement this study by
considering univalent ions of unequal diameters in a mixture with the same
soft-core fluid model. Specifically, we are interested in the analysis of
changes of the temperature of maximum density (TMD) lines with ion
concentration for three model salt solutes, namely sodium chloride, potassium
chloride and rubidium chloride models. We resort to Monte Carlo simulations for
this purpose. Our discussion also involves the dependences of the pair
contribution to excess entropy and of constant volume heat capacity on the
temperature of maximum density line. Some examples of the microscopic structure
of mixtures in question in terms of pair distribution functions are given in
addition.


title:
Examples of non-simply connected compact contact manifolds $M$ such that
  $M \times S^1$ cannot admit a symplectic structure

abstract:
  In this paper we construct non-simply connected contact manifolds $M$ of
dimension $\geq5$ such that $M\times S^1$ does not admit a symplectic
structure.


title: Functions with Diffusive Properties

abstract:
  While exploring desirable properties of hash functions in cryptography, the
author was led to investigate three notions of functions with scattering or
"diffusive" properties, where the functions map between binary strings of fixed
finite length. These notions of diffusion ask for some property to be fulfilled
by the Hamming distances between outputs corresponding to pairs of inputs that
lie on the endpoints of edges of an $n$-dimensional hypercube. Given the
dimension of the input space, we explicitly construct such functions for every
dimension of the output space that allows for the functions to exist.


title: Dropout improves Recurrent Neural Networks for Handwriting Recognition

abstract:
  Recurrent neural networks (RNNs) with Long Short-Term memory cells currently
hold the best known results in unconstrained handwriting recognition. We show
that their performance can be greatly improved using dropout - a recently
proposed regularization method for deep architectures. While previous works
showed that dropout gave superior performance in the context of convolutional
networks, it had never been applied to RNNs. In our approach, dropout is
carefully used in the network so that it does not affect the recurrent
connections, hence the power of RNNs in modeling sequence is preserved.
Extensive experiments on a broad range of handwritten databases confirm the
effectiveness of dropout on deep architectures even when the network mainly
consists of recurrent and shared connections.


title: Orbital entanglement and electron localization in quantum wires

abstract:
  We study the signatures of disorder in the production of orbital electron
entanglement in quantum wires. Disordered entanglers suffer the effects of
localization of the electron wave function and random fluctuations in the
entanglement production. This manifests in the statistics of the concurrence, a
measure of the produced two-qubit entanglement. We calculate the concurrence
distribution as a function of the disorder strength within a random-matrix
approach. We also identify significant constraints on the entanglement
production as a consequence of the breaking/preservation of time-reversal
invariance. Additionally, our theoretical results are independently supported
by simulations of disordered quantum wires based on a tight-binding model.


title:
Indirect ultraviolet photodesorption from CO:N2 binary ices - an
  efficient grain-gas process

abstract:
  UV ice photodesorption is an important non-thermal desorption pathway in many
interstellar environments that has been invoked to explain observations of cold
molecules in disks, clouds and cloud cores. Systematic laboratory studies of
the photodesorption rates, between 7 and 14 eV, from CO:N2 binary ices, have
been performed at the DESIRS vacuum UV beamline of the synchrotron facility
SOLEIL. The photodesorption spectral analysis demonstrates that the
photodesorption process is indirect, i.e. the desorption is induced by a photon
absorption in sub-surface molecular layers, while only surface molecules are
actually desorbing. The photodesorption spectra of CO and N2 in binary ices
therefore depend on the absorption spectra of the dominant species in the
subsurface ice layer, which implies that the photodesorption efficiency and
energy dependence are dramatically different for mixed and layered ices
compared to pure ices. In particular, a thin (1-2 ML) N2 ice layer on top of CO
will effectively quench CO photodesorption, while enhancing N2 photodesorption
by a factors of a few (compared to the pure ices) when the ice is exposed to a
typical dark cloud UV field, which may help to explain the different
distributions of CO and N2H+ in molecular cloud cores. This indirect
photodesorption mechanism may also explain observations of small amounts of
complex organics in cold interstellar environments.


title: Rossby Wave Instability in Astrophysical Discs

abstract:
  A brief review is given of the Rossby wave instability (RWI) in astrophysical
discs. In non-self-gravitating discs, around for example a newly forming stars,
the instability can be triggered by an axisymmetric bump at some radius $r_0$
in the disc surface mass-density. It gives rise to exponentially growing
non-axisymmetric perturbation [$\propto \exp({\rm i}m\phi)$, $m=1,2..$] in the
vicinity of $r_0$ consisting of {\it anticyclonic} vortices. These vortices are
regions of high pressure and consequently act to trap dust particles which in
turn can facilitate planetesimal growth in proto-planetary discs. The Rossby
vortices in the discs around stars and black holes may cause the observed
quasi-periodic modulations of the disc's thermal emission.


title: Dark Strings and their Couplings to the Standard Model

abstract:
  We consider the Standard Model extended by a hidden sector U(1)_X symmetry
that is spontaneously broken at the TeV scale by the vacuum expectation value
of an additional scalar field. We study "dark string" solutions in this model
and their properties due to the Higgs portal and gauge kinetic mixing
operators. We find that dark strings effectively interact with Higgs and Z
bosons by linear couplings, and with leptons and baryons via Aharonov-Bohm
couplings, thus possibly leading to new cosmological constraints on dark matter
models with spontaneously broken extra U(1) symmetry factors.


title: Local Efficiency Corrections to Higher Order Cumulants

abstract:
  In this brief note we derive and present the formulas necessary to correct
measurements of cumulants for detection efficiency. In particular we consider
the case where the efficiency may depend on the phase-space, such as transverse
momentum, rapidity etc.