title:
The Crab Nebula and the class of Type IIn-P supernovae caused by
  sub-energetic electron capture explosions

abstract:
  What sort of supernova gave rise to the Crab Nebula? There are several
indications that the Crab arose from a sub-energetic explosion of an 8-10 Msun
star, this appears to conflict with the high luminosity indicated by historical
observations. This paper shows that several properties of the Crab are best
suited to Type IIn-P explosions (Type IIn spectra with plateau light curves).
These events probably arise from relatively low-energy (1e50 erg) explosions
with low 56Ni yield resulting from electron-capture SNe (ecSNe), but their high
luminosity and Type IIn spectra are dominated by shock interaction with CSM.
After about 120 days, nearly all of the mass in the CSM and ejecta ends up in a
slow dense shell. In the scenario proposed here for SN1054, this thin shell is
accelerated by the growing pulsar wind nebula, producing the complex network of
filaments seen today. There is no need to invoke the invisible fast SN envelope
hypothesized to reside outside the Crab. SNeIIn-P explain several observed
features of the Crab: (1) No blast wave or rapidly expanding SN envelope
outside the filaments, (2) a total mass of 5 Msun swept up in a thin shell, (3)
a high peak luminosity despite the low kinetic energy, and (4) chemical
abundances consistent with an 8-10 Msun star and low 56Ni yield. A number of
other implications are discussed, concerning other Crab-like remnants, dust in
the Crab filaments, diversity in the initial masses of SNe IIn, and an
association between ecSNe and SN impostors. This model predicts that if light
echoes from SN1054 are discovered, they will be consistent with a Type IIn-P
spectrum.


title:
An algorithm for solving the variational inequality problem over the
  fixed point set of a quasi-nonexpansive operator in Euclidean space

abstract:
  This paper is concerned with the variational inequality problem (VIP) over
the fixed point set of a quasi-nonexpansive operator. We propose, in
particular, an algorithm which entails, at each step, projecting onto a
suitably chosen half-space, and prove that the sequences it generates converge
to the unique solution of the VIP. We also present an application of our result
to a hierarchical optimization problem.


title:
Vanishing linear term in chemical potential difference in volume term of
  work of critical nucleus formation for phase transition without volume change

abstract:
  A question is given on the form n({\mu}_{\beta}-{\mu}_{\alpha}) for the
volume term of work of formation of critical nucleus. Here, n is the number of
molecule undergone the phase transition, {\mu} denotes the chemical potential,
{\alpha} and {\beta} represent the parent and nucleating phases, respectively.
In this paper we concentrate phase transition without volume change. We have
calculated the volume term in terms of the chemical potential difference
{\mu}_{re}-{\mu}_{eq}$ for this case. Here, {\mu}_{re} is the chemical
potential of the reservoir and {\mu}_{eq} that at the phase transition. We have
W_{vol} = -[({\kappa}_{\beta}-{\kappa}_{\alpha})/(2v_{eq}^2)]
({\mu}_{re}-{\mu}_{eq})^2 V_{\beta} with {\kappa} denoting the isothermal
compressibility, v_{eq} being the molecular volume at the phase transition,
V_{\beta} the volume of the nucleus.


title:
Weighted Coxeter graphs and generalized geometric representations of
  Coxeter Groups

abstract:
  We introduce the notion of weighted Coxeter graph and associate to it a
certain generalization of the standard geometric representation of a Coxeter
group. We prove sufficient conditions for faithfulness and non-faithfulness of
such a representation. In the case when the weighted Coxeter graph is balanced
we discuss how the generalized geometric representation is related to the
numbers game played on the Coxeter graph.


title: On cubic multisections of Eisenstein series

abstract:
  A systematic procedure for generating cubic multisections of Eisenstein
series is given. The relevant series are determined from Fourier expansions for
Eisenstein series by restricting the congruence class of the summation index
modulo three. We prove that the resulting series are rational functions of
\eta(\tau) and \eta(3\tau), where \eta is the Dedekind eta function. A more
general treatment of cubic dissection formulas is given by describing the
dissection operators in terms of linear transformations. These operators
exhibit properties that mirror those of similarly defined quintic operators.


title: Differential equations for septic theta functions

abstract:
  We demonstrate that quotients of septic theta functions appearing in S.
Ramanujan's Notebooks and in F. Klein's work satisfy a new coupled system of
nonlinear differential equations with interesting symmetric form. This
differential system bears a close resemblance to an analogous system for
quintic theta functions. The proof extends a technique used by Ramanujan to
prove the classical differential system for normalized Eisenstein series on the
full modular group. In the course of our work, we show that Klein's quartic
relation induces new symmetric representations for low weight Eisenstein series
in terms of weight one modular forms of level seven.


title:
Structures and dynamics of small scales in decaying magnetohydrodynamic
  turbulence

abstract:
  The topological and dynamical features of small scales are studied in the
context of decaying magnetohydrodynamic turbulent flows using direct numerical
simulations. Joint probability density functions (PDFs) of the invariants of
gradient quantities related to the velocity and the magnetic fields demonstrate
that structures and dynamics at the time of maximum dissipation depend on the
large scale initial conditions. This is evident in particular from the fact
that each flow has a different shape for the joint PDF of the invariants of the
velocity gradient in contrast to the universal teardrop shape of hydrodynamic
turbulence. The general picture that emerges from the analysis of the
invariants is that regions of high vorticity are correlated with regions of
high strain rate $\bm S$ also in contrast to hydrodynamic turbulent flows.
Magnetic strain dominated regions are also well correlated with region of high
current density $\bm j$. Viscous dissipation ($\propto \bm S^2$) as well as
Ohmic dissipation ($\propto \bm j^2$) reside in regions where strain and
rotation are locally almost in balance. The structures related to the velocity
gradient possess different characteristics than those associated with the
magnetic field gradient with the latter being locally more quasi-two
dimensional.


title:
Integral transforms of functions to be in the Pascu class using duality
  techniques

abstract:
  Let $W_{\beta}(\alpha,\gamma)$, $\beta<1$, denote the class of all normalized
analytic functions $f$ in the unit disc ${\mathbb{D}}=\{z\in {\mathbb{C}}:
|z|<1\}$ such that \begin{align*} {\rm Re\,}
\left(e^{i\phi}\left((1-\alpha+2\gamma)\frac{f}{z}+(\alpha-2\gamma)f'+\gamma
zf"-\beta\right)\frac{}{}\right)>0, \quad z\in {\mathbb{D}}, \end{align*} for
some $\phi\in {\mathbb{R}}$ with $\alpha\geq 0$, $\gamma\geq 0$ and $\beta< 1$.
Let $M(\xi)$, $0\leq \xi\leq 1$, denote the Pascu class of $\xi$-convex
functions given by the analytic condition \begin{align*} {\rm Re\,}\frac{\xi
z(zf'(z))'+(1-\xi)zf'(z)}{\xi zf'(z)+(1-\xi)f(z)}>0 \end{align*} which unifies
the class of starlike and convex functions. The aim of this paper is to find
conditions on $\lambda(t)$ so that the integral transforms of the form
\begin{align*} V_{\lambda}(f)(z)= \int_0^1 \lambda(t) \frac{f(tz)}{t} dt.
\end{align*} carry functions from $W_{\beta}(\alpha,\gamma)$ into $M(\xi)$. As
applications, for specific values of $\lambda(t)$, it is found that several
known integral operators carry functions from $W_{\beta}(\alpha,\gamma)$ into
$M(\xi)$. Results for a more generalized operator related to $V_\lambda(f)(z)$
are also given.


title:
Neutrino Detection, Position Calibration and Marine Science with
  Acoustic Arrays in the Deep Sea

abstract:
  Arrays of acoustic receivers are an integral part of present and potential
future Cherenkov neutrino telescopes in the deep sea. They measure the
positions of individual detector elements which vary with time as an effect of
undersea currents. At the same time, the acoustic receivers can be employed for
marine science purposes, in particular for monitoring the ambient noise
environment and the signals emitted by the fauna of the sea. And last but not
least, they can be used for studies towards acoustic detection of
ultra-high-energy neutrinos. Measuring acoustic pressure pulses in huge
underwater acoustic arrays with an instrumented volume of the order of 100 km^3
is a promising approach for the detection of cosmic neutrinos with energies
exceeding 1 EeV. Pressure signals are produced by the particle cascades that
evolve when neutrinos interact with nuclei in water, and can be detected over
large distances in the kilometre range. In this article, the status of acoustic
detection will be reviewed and plans for the future - most notably in the
context of KM3NeT - will be discussed. The connection between neutrino
detection, position calibration and marine science will be illustrated.


title: Decomposing Borel functions using the Shore-Slaman join theorem

abstract:
  Jayne and Rogers proved that every function from an analytic space into a
separable metric space is decomposable into countably many continuous functions
with closed domains if and only if the preimage of each $F_\sigma$ set under it
is again $F_\sigma$. Many researchers conjectured that the Jayne-Rogers theorem
can be generalized to all finite levels of Borel functions. In this paper, by
using the Shore-Slaman join theorem on the Turing degrees, we show the
following variant of the Jayne-Rogers theorem at finite and transfinite levels
of the hierarchy of Borel functions: For all countable ordinals $\alpha$ and
$\beta$ with $\alpha\leq\beta<\alpha\cdot 2$, every function between Polish
spaces having small transfinite inductive dimension is decomposable into
countably many Baire class $\gamma$ functions with
$\mathbf{\Delta}^0_{\beta+1}$ domains such that $\gamma+\alpha\leq\beta$ if and
only if the preimage of each $\mathbf{\Sigma}^0_{\alpha+1}$ set under that
function is $\mathbf{\Sigma}^0_{\beta+1}$, and the transformation of a
$\mathbf{\Sigma}^0_{\alpha+1}$ set into the $\mathbf{\Sigma}^0_{\beta+1}$
preimage is continuous.


title: Anisotropic fractional perimeters

abstract:
  The anisotropic fractional $s$-perimeter with respect to a convex body $K$ in
$\rn$ is shown to converge to the anisotropic perimeter with respect to the
moment body of $K$ as $s\to 1^-$. A corresponding result is established for
anisotropic fractional $s$-seminorms on $BV(\rn)$ (generalizing results of
Bourgain, Brezis & Mironescu and D\'avila). The minimizers of the anisotropic
fractional $s$-isoperimetric inequality with respect to $K$ are shown to
converge to the moment body of $K$. Anisotropic fractional Sobolev inequalities
are established.


title:
Constraints on axion-like particles from gamma-ray astronomy with
  H.E.S.S

abstract:
  Pseudoscalar particles like axion-like particles generically couple to two
photons, giving rise to the possibility of oscillations with photons in an
external magnetic field. These oscillations could lead to measurable imprints
in the electromagnetic spectrum of astrophysical sources if the coupling to
photons is strong enough. One possible signature is the presence of
irregularities in a limited energy range of the spectrum. In this study,
anomalous irregularities are searched for in the spectrum of the bright
extragalactic TeV emitter PKS 2155-304 as measured by H.E.S.S. to put
constraints on the coupling of light spin 0 particles to photons.


title: Symmetric simple exclusion process with free boundaries

abstract:
  We consider the one dimensional symmetric simple exclusion process (SSEP)
with additional births and deaths restricted to a subset of configurations
where there is a leftmost hole and a rightmost particle. At a fixed rate birth
of particles occur at the position of the leftmost hole and at the same rate,
independently, the rightmost particle dies. We prove convergence to a
hydrodynamic limit and discuss its relation with a free boundary problem.


title: The Riesz transform for the harmonic oscillator in spherical coordinates

abstract:
  In this paper we show weighted estimates in mixed norm spaces for the Riesz
transform associated with the harmonic oscillator in spherical coordinates. In
order to prove the result we need a weighted inequality for a vector-valued
extension of the Riesz transform related to the Laguerre expansions which is of
independent interest. The main tools to obtain such extension are a weighted
inequality for the Riesz transform independent of the order of the involved
Laguerre functions and an appropriate adaptation of Rubio de Francia's
extrapolation theorem.


title: Anisotropic Fractional Sobolev Norms

abstract:
  Bourgain, Brezis & Mironescu showed that (with suitable scaling) the
fractional Sobolev $s$-seminorm of a function $f\in W^{1,p}(\rn)$ converges to
the Sobolev seminorm of $f$ as $s\to 1^-$. The anisotropic $s$-seminorms of $f$
defined by a norm on $\rn$ with unit ball $K$ are shown to converge to the
anisotropic Sobolev seminorm of $f$ defined by the norm with unit ball $\,\ompd
K$, the polar $L_p$ moment body of $K$. The limiting behavior for $s\to 0^+$ is
also determined (extending results by Maz$'$ya & Shaposhnikova).


title:
Monotone Domain Decomposition Iterative Method and its Convergence for a
  Nonlinear Integro-Differential Equation of Volterra Type

abstract:
  We apply the monotone domain decomposition iterative method to a nonlinear
integro-differential equation of Volterra type and prove its convergence. To do
this, by adding a term in both sides of the original equation we make a linear
equation to get a monotone domain decomposition iterative scheme and prove the
existence, uniqueness and convergence of iterative solutions.


title: The Renormalization Group According to Balaban - III. Convergence

abstract:
  This is an expository account of Balaban's approach to the renormalization
group. The method is illustrated with a treatment of the ultraviolet problem
for the scalar phi^4 model on a toroidal lattice in dimension d=3. In this
third paper we demonstrate convergence of the expansion and complete the proof
of a stability bound.


title: Deviation differential equations. Jacobi fields

abstract:
  Given a differential equation on a smooth fibre bundle Y, we consider its
canonical vertical extension to that, called the deviation equation, on the
vertical tangent bundle VY of Y. Its solutions are Jacobi fields treated in a
very general setting. In particular, the deviation of Euler--Lagrange equations
of a Lagrangian L on a fibre bundle Y are the Euler-Lagrange equations of the
canonical vertical extension of L onto VY. Similarly, covariant Hamilton
equations of a Hamiltonian form H are the Hamilton equations of the vertical
extension VH of H onto VY.


title:
The superamalgamation property for reducts of Heyting polyadic algebras
  with and without equality

abstract:
  We show that several reducts of Heyting polyadic algebras of infinite
dimension, with and without equality enjoy various amalgamation properties. In
the equality free case we obtain superamalgamation, but when we have equality
we obtain a weaker interpolation property, for the corresponding infinitary
intuitionistic logic with equality.


title: Computing with quadratic forms over number fields

abstract:
  This paper presents fundamental algorithms for the computational theory of
quadratic forms over number fields. In the first part of the paper, we present
algorithms for checking if a given non-degenerate quadratic form over a fixed
number field is either isotropic (respectively locally isotropic) or hyperbolic
(respectively locally hyperbolic). Next we give a method of computing the
dimension of an anisotropic part of a quadratic forms. The second part of the
paper is devoted to algorithms computing two field invariants: the level and
the Pythagoras number. Ultimately we present an algorithm verifying whether two
number fields have isomorphic Witt rings (i.e. are Witt equivalent).


title:
Free-space communication through turbulence: a comparison of plane-wave
  and orbital-angular-momentum encodings

abstract:
  Free-space communication allows one to use spatial mode encoding, which is
susceptible to the effects of diffraction and turbulence. Here, we discuss the
optimum communication modes of a system while taking such effects into account.
We construct a free-space communication system that encodes information onto
the plane-wave (PW) modes of light. We study the performance of this system in
the presence of atmospheric turbulence, and compare it with previous results
for a system employing orbital-angular-momentum (OAM) encoding. We are able to
show that the PW basis is the preferred basis set for communication through
atmospheric turbulence for a large Fresnel number system. This study has
important implications for high-dimensional quantum key distribution systems.


title: Branching processes with competition and generalized Ray Knight Theorem

abstract:
  We consider a discrete model of population with interaction where the birth
and death rates are non linear functions of the population size. After
proceeding to renormalization of the model parameters, we obtain in the limit
of large population that the population size evolves as a diffusion solution of
the SDE Z^x_t =x+\int_0^t f(Z^x_s)ds+2\int_0^t\int_0^{Z^x_s}W(ds,du), where
W(ds,du) is a time space white noise on ([0,\infty))^2. We give a Ray-Knight
representation of this diffusion in terms of the local times of a reflected
Brownian motion H with a drift that depends upon the local time accumulated by
H at its current level, through the function f'/2.


title: Natural GeV Dark Matter and the Baryon-Dark Matter Coincidence Puzzle

abstract:
  We present a simple extension of the standard model that gives rise to
baryogenesis a has a dark matter candidate of O(GeV) mass. A minimal set of new
fields required for baryogenesis includes two O(TeV) colored scalars and a
singlet fermion. The fermion also becomes a viable dark matter candidate when
its is nearly degenerate in mass with the proton. Dark matter and baryon
asymmetry are produced form the decay of heavy scalars, which can lead to a
natural explanation of the baryon-dark matter coincidence problem. The dark
matter candidate escapes direct and indirect detection, but can be probed at
the LHC. The supersymmetric extension of this model is straightforward and
leads to a multi-component dark matter scenario, which improves the direct and
indirect detection prospects.


title:
Characterizing amalgmation bases for relation, cylindric and polyadic
  algebras

abstract:
  We characterize completey (give a necessary and suffcient condition using
special neat embeddings)for a relation algebra to belong to the amalgamation,
strong amalgamation, and superamalgamation base of the class of representable
algebras. We do the same for cylindric and polyadic algebras for all dimensions
>1, infinite included. Finally, we show that we can expand our algebras by
finitely many natural operations, that force the newly expanded algebras to
have various forms of amalgamation properties, like quasi-projections and
directed cylindrifiers.


title:
Represent MOD function by low degree polynomial with unbounded one-sided
  error

abstract:
  In this paper, we prove tight lower bounds on the smallest degree of a
nonzero polynomial in the ideal generated by $MOD_q$ or $\neg MOD_q$ in the
polynomial ring $F_p[x_1, \ldots, x_n]/(x_1^2 = x_1, \ldots, x_n^2 = x_n)$,
$p,q$ are coprime, which is called \emph{immunity} over $F_p$. The immunity of
$MOD_q$ is lower bounded by $\lfloor (n+1)/2 \rfloor$, which is achievable when
$n$ is a multiple of $2q$; the immunity of $\neg MOD_q$ is exactly $\lfloor
(n+q-1)/q \rfloor$ for every $q$ and $n$. Our result improves the previous
bound $\lfloor \frac{n}{2(q-1)} \rfloor$ by Green.
  We observe how immunity over $F_p$ is related to $\acc$ circuit lower bound.
For example, if the immunity of $f$ over $F_p$ is lower bounded by $n/2 -
o(\sqrt{n})$, and $|1_f| = \Omega(2^n)$, then $f$ requires $\acc$ circuit of
exponential size to compute.


title: Neat embeddings as adjoint situations

abstract:
  We view the neat reduct operator as a functor that lessens dimensions from
CA_{\alpha+\omega} to CA_{\alpha} for infinite ordinals \alpha. We show that
this functor has no right adjoint. Conversely for polyadic algebras, and
several reducts thereof, like Sain's algebras, we show that the analagous
functor is an equivalence.


title: A cookbook of translating English to Xapi

abstract:
  The Xapagy cognitive architecture had been designed to perform narrative
reasoning: to model and mimic the activities performed by humans when
witnessing, reading, recalling, narrating and talking about stories. Xapagy
communicates with the outside world using Xapi, a simplified, "pidgin" language
which is strongly tied to the internal representation model (instances, scenes
and verb instances) and reasoning techniques (shadows and headless shadows).
While not fully a semantic equivalent of natural language, Xapi can represent a
wide range of complex stories. We illustrate the representation technique used
in Xapi through examples taken from folk physics, folk psychology as well as
some more unusual literary examples. We argue that while the Xapi model
represents a conceptual shift from the English representation, the mapping is
logical and consistent, and a trained knowledge engineer can translate between
English and Xapi at near-native speed.


title:
Fixed point theorems for nonconvex valued correspondences and
  applications in game theory

abstract:
  In this paper, we introduce several types of correspondences: weakly
naturally quasiconvex, *-weakly naturally quasiconvex, weakly biconvex and
correspondences with *--weakly convex graph and we prove some fixed point
theorems for these kinds of correspondences. As a consequence, using a version
of W. K. Kim's quasi-point theorem, we obtain the existence of equilibria for a
quasi-game.


title:
Fractional quantum Hall states in lattices: Local models and physical
  implementation

abstract:
  The fractional quantum Hall (FQH) effect is one of the most striking
phenomena in condensed matter physics. It is described by a simple Laughlin
wavefunction and has been thoroughly studied both theoretically and
experimentally. In lattice systems, however, such an effect has not been
observed, there are few simple models displaying it, and only few mechanisms
leading to it are known. Here we propose a new way of constructing lattice
Hamiltonians with local interactions and FQH like ground states. In particular,
we obtain a spin 1/2 model with a bosonic Laughlin like ground state,
displaying a variety of topological features. We also demonstrate how such a
model naturally emerges out of a Fermi-Hubbard like model at half filling, in
which the kinetic energy part possesses bands with nonzero Chern number, and we
show how this model can be implemented in an optical lattice setup with present
technology.


title: A Peer-based Model of Fat-tailed Outcomes

abstract:
  It is well known that the distribution of returns from various financial
instruments are leptokurtic, meaning that the distributions have "fatter tails"
than a Normal distribution, and have skew toward zero. This paper presents a
graceful micro-level explanation for such fat-tailed outcomes, using agents
whose private valuations have Normally-distributed errors, but whose utility
function includes a term for the percentage of others who also buy.


title: Jassologie : Une vision originale sur les cartes orientables

abstract:
  Jassology is a global theory on orientable maps which results from artistic
experiments. The objective of this article is to define and describe the
essential tools of Jassologic process, wich consists in associating a word,
called Jassologic Word, to a planar trivalent rooted map. The original method
is based on breaking down a map into layers of cells called "Jasses", which
means "layers" in Provence. We also describe in details the set of Jassologic
Words, whose alphabet is composed of 16 specified caracters (Catherine Mouet's
caracters). And we explain how to construct a planar trivalent rooted map from
any Jassologic Word. We obtain a bijection between Jassologic Words and the
equivalence classes of planar trivalent rooted maps. In particular, two planar
trivalent rooted maps are equivalent if and only if their correspondant
Jassologic Words are the same. From a computer science point of view,
Jassologic process is an algorithm which doesn't use any handling of images.


title:
Low-frequency radio observations of Seyfert galaxies: A test to the
  unification scheme

abstract:
  Aims. We present low-frequency radio imaging and spectral properties of a
well defined sample of Seyfert galaxies using GMRT 240/610 MHz dual frequency
observations. Radio spectra of Seyfert galaxies over 240 MHz to 5.0 GHz are
investigated using 240 MHz, 610 MHz flux densities derived from GMRT, and 1.4
GHz and 5.0 GHz flux densities mainly from published VLA data. We test the
predictions of Seyfert unification scheme by comparing the radio properties of
Seyfert type 1s and type 2s. Methods. We choose a sample such that the two
Seyfert subtypes have matched distributions in parameters that are independent
to the orientation of AGN, obscuring torus and the host galaxy. Our sample
selection criteria allow us to assume that the two Seyfert subtypes are
intrinsically similar within the framework of the unification scheme. Results.
The new observations at 240/610 MHz, together with archival observations at 1.4
GHz, 5.0 GHz show that type 1s and type 2s have statistically similar radio
luminosity distributions at 240 MHz, 610 MHz, 1.4 GHz and 5.0 GHz. The spectral
indices at selected frequency intervals as well as index measured over 240 MHz
to 5.0 GHz for the two Seyfert subtypes have similar distributions with median
spectral index $/sim$ -0.7, consistent with the synchrotron emission from
optically thin plasma. In our snap-shot 240/610 MHz GMRT observations, most of
the Seyfert galaxies show primarily an unresolved central radio component,
except a few sources in which faint kpc-scale extended emission is apparent at
610 MHz. Our results on the statistical comparison of the multifrequency radio
properties of our sample Seyfert galaxies are in agreement with the predictions
of the Seyfert unification scheme.


title: Extensions and fill-ins with nonnegative scalar curvature

abstract:
  Motivated by the quasi-local mass problem in general relativity, we apply the
asymptotically flat extensions, constructed by Shi and Tam in the proof of the
positivity of the Brown--York mass, to study a fill-in problem of realizing
geometric data on a 2-sphere as the boundary of a compact 3-manifold of
nonnegative scalar curvature. We characterize the relationship between two
borderline cases: one in which the Shi--Tam extension has zero total mass, and
another in which fill-ins of nonnegative scalar curvature fail to exist.
Additionally, we prove a type of positive mass theorem in the latter case.


title: Evolution to 200G Passive Optical Network

abstract:
  New generation passive optical network aims at providing more than 100 Gb/s
capacity. Thanks to recent progress enabling a variety of optical transceivers
up to 40 Gb/s, many evolution possibilities to 200G PONs (passive optical
network) could be investigated. This work proposes two directly deployable
cases of evolution to 200G PON based on the combination of these improved
optical transceivers and WDM (wavelength division multiplexing). The physical
layer of the optical network has been simulated with OptiSystem software to
show the communication links performances behavior when considering key
components parameters in order to achieve good network design for a given area.
The complexity of the proposed architectures and financial cost comparisons are
also discussed.


title: On Cosmological Perturbations of Quasidilaton

abstract:
  A theory of the quasidilaton is an extension of massive gravity by a scalar
field, nonlinearly realizing a certain new global symmetry of the Lagrangian.
It has been shown that unlike pure massive gravity, this theory does admit
homogeneous and isotropic spatially flat solutions. Among the latter,
selfaccelerated solutions attract a special attention. Previous studies of
perturbations, performed in the decoupling limit, revealed one healthy scalar
mode, while the second relevant scalar was not captured in that limit. Here we
study full cosmological perturbations above the simplest selfaccelerated
background. We show that the fluctuations of a mixed state of the quasidilaton
and the helicity-0 graviton necessarily have a negative kinetic term at short
distances, making this background unphysical. In addition, these cosmologies
exhibit an order one sensitivity to higher dimensional terms suppressed by an
energy scale that is parametrically higher than the strong coupling scale of
the quasidilaton effective theory: such terms include Galileons, Goldstone-like
selfinteractions and derivatives of the quasidilaton coupled to curvature, none
of which introduce extra Ostrogradsky states. As one consequence, cosmology at
the Hubble distances for this particular class of solutions depends on an
unknown extension of the quasidilaton below its strong coupling distance scale.
We note that non-FRW solutions that are similar to those of pure massive
gravity should not necessarily suffer from these pathologies.


title: Cylindric polyadic algebras have the superamalgamation

abstract:
  We show that cylindric polyadic algebras introduced by Ferenczi has the
superamalgmation property. We give two proofs. One is a Henkin construction,
and the other is inspired by duality theory in modal logic between finite zig
zag products of Kripke frames and their complex algebras.


title: Improved Performance of Unsupervised Method by Renovated K-Means

abstract:
  Clustering is a separation of data into groups of similar objects. Every
group called cluster consists of objects that are similar to one another and
dissimilar to objects of other groups. In this paper, the K-Means algorithm is
implemented by three distance functions and to identify the optimal distance
function for clustering methods. The proposed K-Means algorithm is compared
with K-Means, Static Weighted K-Means (SWK-Means) and Dynamic Weighted K-Means
(DWK-Means) algorithm by using Davis Bouldin index, Execution Time and
Iteration count methods. Experimental results show that the proposed K-Means
algorithm performed better on Iris and Wine dataset when compared with other
three clustering methods.


title:
Preliminary Experiments with EVA - Serious Games Virtual Fire Drill
  Simulator

abstract:
  Fire keeps claiming a large number of victims in building fires. Although
there are ways to minimize such events, fire drills are used to train the
building occupants for emergency situations. However, organizing and implement
these exercises is a complex task, and sometimes not sucessfull. Furthermore,
fire drills require the mobilization of some finantial resources and time, and
affect the normal functioning of the site where they occur. To overcome the
aforementioned issues, computer games have a set of features that might
overcome this problem. They offer engagement to their players, keeping them
focused, and providing training to real life situations. The game evaluate
users, providing them some feedback, making possible for the players to improve
their performance. The proposed methodology aims to study the viability of
using a game that recreates a fire drill in a 3D environment using Serious
Games. The information acquired through the player's performance is very
valuable and will be later used to implement an artificial population. A sample
of 20 subjects was selected to test the application. Preliminary results are
promising, showing that the exercise had a positive impact on users. Moreover,
the data acquired is of great important and will be later used to demonstrate
the possibility of creating an artificial population based on human behaviour.


title: Hubs and Authorities of the English Premier League for 2010-2011

abstract:
  In this work author applies well known web search algorithm Hyperlink -
Induced Topic Search (HITS) to problem of ranking football teams in English
Premier League (EPL). The algorithm allows the ranking of the teams using the
notions of hubs and authorities well known for ranking pages in the World Wide
Web. Results of the games introduced as a graph where losing team 'gives a
link' to a winning team and, if draw registered both team give links to each
other. In case of a win link is weighted as three points in adjacent matrix and
in case of draw as one point. Author uses notion of authority in order to
define team which win a game and hub as a team which lose a game, the winner of
the competition defined as the 'worst' hub, team that didn't reinforced any
other team. Using this ranking system, the champion's team, which is a 'worst
hub' must not lose, or draw games to other 'good authorities' teams. If by the
end of the competition there are teams with an equal number of wins and losses
then the team which has beaten more teams with higher authority ranks, wins.


title: Strong immersions and maximum degree

abstract:
  A graph H is strongly immersed in G if G is obtained from H by a sequence of
vertex splittings (i.e., lifting some pairs of incident edges and removing the
vertex) and edge removals. Equivalently, vertices of H are mapped to distinct
vertices of G (branch vertices) and edges of H are mapped to pairwise
edge-disjoint paths in G, each of them joining the branch vertices
corresponding to the ends of the edge and not containing any other branch
vertices. We show that there exists a function d:N->N such that for all graphs
H and G, if G contains a strong immersion of the star K_{1,d(Delta(H))|V(H)|}
whose branch vertices are Delta(H)-edge-connected to one another, then H is
strongly immersed in G. This has a number of structural consequences for graphs
avoiding a strong immersion of H. In particular, a class C of simple
4-edge-connected graphs contains all graphs of maximum degree 4 as strong
immersions if and only if C has either unbounded maximum degree or unbounded
tree-width.


title:
Closed-Form Rate Outage Probability for OFDMA Multi-Hop Broadband
  Wireless Networks under Nakagami-m Channels

abstract:
  Rate outage probability is an important performance metric to measure the
level of quality of service (QoS) in the 4th Generation (4G) broadband access
networks. Thus, in this paper, we calculate a closed form expression of the
rate outage probability for a given user in a down-link multi-hop OFDMA-based
system encountered as a result of links channel variations. The channel random
behavior on different subcarriers allocated to a given user is assumed to
follow independent non-identical Nakagami-m distributions. Besides the rate
outage probability formulas for single hop and multi-hop networks, we also
derive a novel closed form formulas for the moment generating function,
probability distribution function (pdf), and the cumulative distribution
function (cdf) of a product of independent non-identical Gamma distributed
random variables (RVs). These RVs are functions of the attainable
signal-to-noise power ratio (SNR) on the allocated group of subcarriers. For
single-hop scenario, inspired by the rate outage probability closed formula, we
formulate an optimization problem in which we allocate subcarriers to users
such that the total transmission rate is maximized while catering for fairness
for all users. In the proposed formulation, fairness is considered by
guaranteeing a minimum rate outage probability for each admitted user


title:
Representation, Approximation and Learning of Submodular Functions Using
  Low-rank Decision Trees

abstract:
  We study the complexity of approximate representation and learning of
submodular functions over the uniform distribution on the Boolean hypercube
$\{0,1\}^n$. Our main result is the following structural theorem: any
submodular function is $\epsilon$-close in $\ell_2$ to a real-valued decision
tree (DT) of depth $O(1/\epsilon^2)$. This immediately implies that any
submodular function is $\epsilon$-close to a function of at most
$2^{O(1/\epsilon^2)}$ variables and has a spectral $\ell_1$ norm of
$2^{O(1/\epsilon^2)}$. It also implies the closest previous result that states
that submodular functions can be approximated by polynomials of degree
$O(1/\epsilon^2)$ (Cheraghchi et al., 2012). Our result is proved by
constructing an approximation of a submodular function by a DT of rank
$4/\epsilon^2$ and a proof that any rank-$r$ DT can be $\epsilon$-approximated
by a DT of depth $\frac{5}{2}(r+\log(1/\epsilon))$.
  We show that these structural results can be exploited to give an
attribute-efficient PAC learning algorithm for submodular functions running in
time $\tilde{O}(n^2) \cdot 2^{O(1/\epsilon^{4})}$. The best previous algorithm
for the problem requires $n^{O(1/\epsilon^{2})}$ time and examples (Cheraghchi
et al., 2012) but works also in the agnostic setting. In addition, we give
improved learning algorithms for a number of related settings.
  We also prove that our PAC and agnostic learning algorithms are essentially
optimal via two lower bounds: (1) an information-theoretic lower bound of
$2^{\Omega(1/\epsilon^{2/3})}$ on the complexity of learning monotone
submodular functions in any reasonable model; (2) computational lower bound of
$n^{\Omega(1/\epsilon^{2/3})}$ based on a reduction to learning of sparse
parities with noise, widely-believed to be intractable. These are the first
lower bounds for learning of submodular functions over the uniform
distribution.


title:
Phase diagram of the resistive state of the narrow superconducting
  channel in the voltage-driven regime

abstract:
  Based on the numerical solution non-stationary Ginzburg-Landau equations, we
investigated the evolution of the order parameter of superconducting channels
with different lengths under applied voltage (so-called voltage-driven regime).
We calculated current-voltage characteristics for channels of different lengths
and found out the origin of theirs characteristic disorder oscillations. For
very long channels in the certain voltage interval we reveal the chaotic
dynamic of the order parameter. Collected data allowed us to plot the most
complete and detailed phase diagram of the resistive state of the
superconducting channel in the voltage-driven regime.


title: On the Performance of Adaptive Modulation in Cognitive Radio Networks

abstract:
  We study the performance of cognitive radio networks (CRNs) when
incorporating adaptive modulation at the physical layer. Three types of CRNs
are considered, namely opportunistic spectrum access (OSA), spectrum sharing
(SS) and sensing-based SS. We obtain closed-form expressions for the average
spectral efficiency achieved at the secondary network and the optimal power
allocation for both continuous and discrete rate types of adaptive modulation
assuming perfect channel state information. The obtained numerical results show
the achievable performance gain in terms of average spectral efficiency and the
impact on power allocation when adaptive modulation is implemented at the
physical layer that is due to the effect of the cut-off level that is
determined from the received signal-to-noise ratio for each CRN type. The
performance assessment is taking place for different target bit error rate
values and fading regions, thereby providing useful performance insights for
various possible implementations.


title:
On the State Complexity of the Reverse of R- and J-trivial Regular
  Languages

abstract:
  The tight upper bound on the state complexity of the reverse of R-trivial and
J-trivial regular languages of the state complexity n is 2^{n-1}. The witness
is ternary for R-trivial regular languages and (n-1)-ary for J-trivial regular
languages. In this paper, we prove that the bound can be met neither by a
binary R-trivial regular language nor by a J-trivial regular language over an
(n-2)-element alphabet. We provide a characterization of tight bounds for
R-trivial regular languages depending on the state complexity of the language
and the size of its alphabet. We show the tight bound for J-trivial regular
languages over an (n-2)-element alphabet and a few tight bounds for binary
J-trivial regular languages. The case of J-trivial regular languages over an
(n-k)-element alphabet, for 2 <= k <= n-3, is open.


title: A Compact System for Registering and Projecting Stereo Views

abstract:
  Mirror adapters can match a camera and a projector to the task of producing
and visualizing a stereo pair. The imaging digital technology can benefit on
the traditional optical technology of the last century to get more compact and
affordable cameras and projectors. We describe a system which can be applied to
different conventional projecting systems, as polarization an anaglyphic ones,
useful at an amateur level but put in consideration for the industry. As an
additional possibility, the same kind of projector can be adapted for
goggles-less stereo viewing in a white light holographic screen whose
functioning is clearly demonstrated.


title:
Likelihood description for comparing data with simulation of limited
  statistics

abstract:
  It is often not possible to construct a probability density function that
describes the data. This can happen if there is no analytic description, and
the number of parameters is too large so that it is impossible to simulate and
tabulate all combinations. In these situations it is still interesting to rank
simulation sets performed with different parameters in how well they compare to
data. We propose a solution that appears to be better suited to this task than
some of the obvious alternatives.


title: Space-time as a structured relativistic continuum

abstract:
  It is well known that there are various models of gravitation: the metrical
Hilbert-Einstein theory, a wide class of intrinsically Lorentz-invariant tetrad
theories (of course, generally-covariant in the space-time sense), and many
gauge models based on various internal symmetry groups (Lorentz, Poincare,
${\rm GL}(n,\mathbb{R})$, ${\rm SU}(2,2)$, ${\rm GL}(4,\mathbb{C})$, and so
on). One believes usually in gauge models and we also do it. Nevertheless, it
is an interesting idea to develop the class of ${\rm
GL}(4,\mathbb{R})$-invariant (or rather ${\rm GL}(n,\mathbb{R})$-invariant)
tetrad ($n$-leg) generally covariant models. This is done below and motivated
by our idea of bringing back to life the Thales of Miletus idea of affine
symmetry. Formally, the obtained scheme is a generally-covariant tetrad
($n$-leg) model, but it turns out that generally-covariant and intrinsically
affinely-invariant models must have a kind of non-accidental Born-Infeld-like
structure. Let us also mention that they, being based on tetrads ($n$-legs),
have many features common with continuous defect theories. It is interesting
that they possess some group-theoretical solutions and more general
spherically-symmetric solutions. It is also interesting that within such
framework the normal-hyperbolic signature of the space-time metric is not
introduced by hand, but appears as a kind of solution, rather integration
constants, of differential equations. Let us mention that our Born-Infeld
scheme is more general than alternative tetrad models. It may be also used
within more general schemes, including also the gauge ones.


title:
Symplectic and Poisson geometry of the moduli spaces of flat connections
  over quilted surfaces

abstract:
  In this paper we study the symplectic and Poisson geometry of moduli spaces
of flat connections over quilted surfaces. These are surfaces where the
structure group varies from region to region in the surface, and where a
reduction (or relation) of structure occurs along the boundaries of the
regions. Our main theoretical tool is a new form moment-map reduction in the
context of Dirac geometry. This reduction framework allows us to use very
general relations of structure groups, and to investigate both the symplectic
and Poisson geometry of the resulting moduli spaces from a unified perspective.
  The moduli spaces we construct in this way include a number of important
examples, including Poisson Lie groups and their Homogeneous spaces, moduli
spaces for meromorphic connections over Riemann surfaces (following the work of
Philip Boalch), and various symplectic groupoids. Realizing these examples as
moduli spaces for quilted surfaces provides new insights into their geometry.


title:
Kronecker products, characters, partitions, and the tensor square
  conjectures

abstract:
  We study the remarkable Saxl conjecture which states that tensor squares of
certain irreducible representations of the symmetric groups S_n contain all
irreducibles as their constituents. Our main result is that they contain
representations corresponding to hooks and two row Young diagrams. For that, we
develop a new sufficient condition for the positivity of Kronecker coefficients
in terms of characters, and use combinatorics of rim hook tableaux combined
with known results on unimodality of certain partition functions. We also
present connections and speculations on random characters of S_n.


title: On Bilinear Forms from the Point of View of Generalized Effect Algebras

abstract:
  We study positive bilinear forms on a Hilbert space which are neither not
necessarily bounded nor induced by some positive operator. We show when
different families of bilinear forms can be described as a generalized effect
algebra. In addition, we present families which are or are not monotone
downwards (Dedekind upwards) $\sigma$-complete generalized effect algebras.


title:
O(logT) Projections for Stochastic Optimization of Smooth and Strongly
  Convex Functions

abstract:
  Traditional algorithms for stochastic optimization require projecting the
solution at each iteration into a given domain to ensure its feasibility. When
facing complex domains, such as positive semi-definite cones, the projection
operation can be expensive, leading to a high computational cost per iteration.
In this paper, we present a novel algorithm that aims to reduce the number of
projections for stochastic optimization. The proposed algorithm combines the
strength of several recent developments in stochastic optimization, including
mini-batch, extra-gradient, and epoch gradient descent, in order to effectively
explore the smoothness and strong convexity. We show, both in expectation and
with a high probability, that when the objective function is both smooth and
strongly convex, the proposed algorithm achieves the optimal $O(1/T)$ rate of
convergence with only $O(\log T)$ projections. Our empirical study verifies the
theoretical result.


title: Faster Phase Estimation

abstract:
  We develop several algorithms for performing quantum phase estimation based
on basic measurements and classical post-processing. We present a pedagogical
review of quantum phase estimation and simulate the algorithm to numerically
determine its scaling in circuit depth and width. We show that the use of
purely random measurements requires a number of measurements that is optimal up
to constant factors, albeit at the cost of exponential classical
post-processing; the method can also be used to improve classical signal
processing. We then develop a quantum algorithm for phase estimation that
yields an asymptotic improvement in runtime, coming within a factor of log* of
the minimum number of measurements required while still requiring only minimal
classical post-processing. The corresponding quantum circuit requires
asymptotically lower depth and width (number of qubits) than quantum phase
estimation.


title: Modeling Multi-Magnet Networks Interacting Via Spin Currents

abstract:
  The significant experimental advances of the last few decades in dealing with
the interaction of spin currents and nanomagnets, at the device level, has
allowed envisioning a broad class of devices that propose to implement
information processing using spin currents and nanomagnets. To analyze such
spin-magnet logic circuits, in general, we have developed a coupled
spin-transport/ magnetization-dynamics simulation framework that could be
broadly applicable to various classes of spin-valve/ spin-torque devices.
Indeed, the primary purpose of this chapter is to describe in detail, the
overall approach we have developed to include a description of spin transport
coupled with magnetization dynamics and to show how it was benchmarked against
available data on experiments.
  We address non-collinear spin-transport in Section-2 using a lumped
"4-component spin-circuit formalism" that describes the interaction of
non-collinear magnets (required for modeling spin torque), by computing
4-component currents and voltages at every node of a "circuit". For modeling
the magnetization dynamics, we use the standard Landau-Lifshitz-Gilbert (LLG)
equation with the Slonczewski and the field-like terms included for spin
torque. Section-3 describes how this LLG model is coupled with the spin
transport model to analyze spin-torque experiments and spin-magnet circuits in
general.
  We include MATLAB codes in the Appendix to facilitate a "hands-on"
understanding of our model and hope it will enable interested readers to
conveniently analyze their own experiments, develop a deeper insight into
spin-magnet circuits or come up with their own creative designs.


title: $\mathbb H$-perfect Pseudo MV-algebras and Their Representations

abstract:
  We study $\mathbb H$-perfect pseudo MV-algebras, that is, algebras which can
be split into a system of ordered slices indexed by the elements of an subgroup
$\mathbb H$ of the group of the real numbers. We show when they can be
represented as a lexicographic product of $\mathbb H$ with some $\ell$-group.
In addition, we show also a categorical equivalence of this category with the
category of $\ell$-groups.


title: Low degree minimal generators of phylogenetic semigroups

abstract:
  The phylogenetic semigroup on a graph generalizes the Jukes-Cantor binary
model on a tree. Minimal generating sets of phylogenetic semigroups have been
described for trivalent trees by Buczy\'nska and Wi\'sniewski, and for
trivalent graphs with first Betti number 1 by Buczy\'nska. We characterize
degree two minimal generators of the phylogenetic semigroup on any trivalent
graph. Moreover, for any graph with first Betti number 1 and for any trivalent
graph with first Betti number 2 we describe the minimal generating set of its
phylogenetic semigroup.


title:
The projective dimension of codimension two algebra presented by
  quadrics

abstract:
  We prove a sharp upper bound for the projective dimension of ideals of height
two generated by quadrics in a polynomial ring with arbitrary large number of
variables.


title:
Steady state entanglement of two superconducting qubits engineered by
  dissipation

abstract:
  We present a scheme for the dissipative preparation of an entangled steady
state of two superconducting qubits in a circuit QED setup. Combining resonator
photon loss, a dissipative process already present in the setup, with an
effective two-photon microwave drive, we engineer an effective decay mechanism
which prepares a maximally entangled state of the two qubits. This state is
then maintained as the steady state of the driven, dissipative evolution. The
performance of the dissipative state preparation protocol is studied
analytically and verified numerically. In view of the experimental
implementation of the presented scheme we investigate the effects of potential
experimental imperfections and show that our scheme is robust to small
deviations in the parameters. We find that high fidelities with the target
state can be achieved both with state-of-the-art 3D, as well as with the more
commonly used 2D transmons. The promising results of our study thus open a
route for the demonstration of an entangled steady state in circuit QED.


title: An energetic model for macromolecules unraveling

abstract:
  We propose a simple approach, based on the minimization of the total
(entropic plus unfolding) energy of a two-state system, describing the
stretch-induced unfolding of macromolecules (proteins, silks, nanopolymers,
DNA/RNA). The model is fully analytical and enlightens the role of the
different energetic components regulating the unfolding evolution. As an
explicit example of application we compare the analytical results with the
titin Atomic Force Microscopy experiments showing the ability of the model to
quantitatively reproduce the mechanical behavior of macromolecules unfolding.


title: Mini-maximizing two qubit quantum computations

abstract:
  Two qubit quantum computations are viewed as two player, strictly competitive
games and a game-theoretic measure of optimality of these computations is
developed. To this end, the geometry of Hilbert space of quantum computations
is used to establish the equivalence of game-theoretic solution concepts of
Nash equilibrium and mini-max outcomes in games of this type, and quantum
mechanisms are designed for realizing these mini-max outcomes.


title: Untwisting a twisted Calabi-Yau algebra

abstract:
  Twisted Calabi-Yau algebras are a generalisation of Ginzburg's notion of
Calabi-Yau algebras. Such algebras A come equipped with a modular automorphism
\sigma \in Aut(A), the case \sigma = id being precisely the original class of
Calabi-Yau algebras. Here we prove that every twisted Calabi-Yau algebra may be
extended to a Calabi-Yau algebra. More precisely, we show that if A is a
twisted Calabi-Yau algebra with modular automorphism \sigma, then the smash
product algebras A \rtimes_\sigma N and A \rtimes_\sigma Z are Calabi-Yau.


title: Artificial graphene as a tunable Dirac material

abstract:
  Artificial honeycomb lattices offer a tunable platform to study massless
Dirac quasiparticles and their topological and correlated phases. Here we
review recent progress in the design and fabrication of such synthetic
structures focusing on nanopatterning of two-dimensional electron gases in
semiconductors, molecule-by-molecule assembly by scanning probe methods, and
optical trapping of ultracold atoms in crystals of light. We also discuss
photonic crystals with Dirac cone dispersion and topologically protected edge
states. We emphasize how the interplay between single-particle band structure
engineering and cooperative effects leads to spectacular manifestations in
tunneling and optical spectroscopies.


title:
A Cumulative Multi-Niching Genetic Algorithm for Multimodal Function
  Optimization

abstract:
  This paper presents a cumulative multi-niching genetic algorithm (CMN GA),
designed to expedite optimization problems that have computationally-expensive
multimodal objective functions. By never discarding individuals from the
population, the CMN GA makes use of the information from every objective
function evaluation as it explores the design space. A fitness-related
population density control over the design space reduces unnecessary objective
function evaluations. The algorithm's novel arrangement of genetic operations
provides fast and robust convergence to multiple local optima. Benchmark tests
alongside three other multi-niching algorithms show that the CMN GA has a
greater convergence ability and provides an order-of-magnitude reduction in the
number of objective function evaluations required to achieve a given level of
convergence.


title: Physical Properties of a Sunspot Chromosphere with Umbral Flashes

abstract:
  We present new high-resolution spectro-polarimetric Ca II 8542 observations
of umbral flashes in sunspots. At nearly 0.18", and spanning about one hour of
continuous observation, this is the most detailed dataset published thus far.
Our study involves both LTE and non-LTE inversions (but includes also a weak
field analysis as a sanity check) to quantify temperatures, mass flows and the
full magnetic field vector geometry. We confirm earlier reports that UFs have
very fine structure with hot and cool material intermixed at sub-arcsecond
scales. The shock front is roughly 1000 K hotter than the surrounding material.
We do not observe significant fluctuations of the field in the umbra. In the
penumbra, however, the passage of the running penumbral waves alter the
magnetic field strength by some 200 G (peak-to-peak amplitude) but it does not
change the field orientation (at least not significantly within our sensitivity
of a few degrees). We find a trend of decreasing high-frequency modulation
power for more inclined magnetic fields for the line-of-sight velocity and
magnetic field strength. In the outer penumbra we find an absence of high
frequency power while there is increasingly more power at high frequencies
towards the umbra.


title: A generalization of the Shafer-Fink inequality

abstract:
  In this article we show a tecnique based on the Weierstrass product for the
sine and cosine function and the bisection formula for the cotangent function
that leads to a generalization of the classical Shafer-Fink inequality $
\frac{3 x}{1+2\sqrt{1+x^2}} < \arctan x < \frac{\pi x}{1+2\sqrt{1+x^2}}$. Other
algebraic approximations are also shown, including one that follows from the
Chebyshev expansion for the arctangent function in the interval $[-1,1]$.


title: The Phi-dimension: A new homological measure

abstract:
  K. Igusa and G. Todorov introduced two functions $\phi$ and $\psi,$ which are
natural and important homological measures generalising the notion of the
projective dimension. These Igusa-Todorov functions have become into a powerful
tool to understand better the finitistic dimension conjecture.
  In this paper, for an artin $R$-algebra $A$ and the Igusa-Todorov function
$\phi,$ we characterise the $\phi$-dimension of $A$ in terms either of the
bi-functors $\mathrm{Ext}^{i}_{A}(-, -)$ or Tor's bi-functors
$\mathrm{Tor}^{A}_{i}(-,-).$ Furthermore, by using the first characterisation
of the $\phi$-dimension, we show that the finiteness of the $\phi$-dimension of
an artin algebra is invariant under derived equivalences. As an application of
this result, we generalise the classical Bongartz's result as follows: For an
artin algebra $A,$ a tilting $A$-module $T$ and the endomorphism algebra
$B=\mathrm{End}_A(T)^{op},$ we have that
$\mathrm{Fidim}\,(A)-\mathrm{pd}\,T\leq \mathrm{Fidim}\,(B)\leq
\mathrm{Fidim}\,(A)+\mathrm{pd}\,T.$


title: Uniqueness of signature for simple curves

abstract:
  We propose a topological approach to the problem of determining a curve from
its iterated integrals. In particular, we prove that a family of terms in the
signature series of a two dimensional closed curve with finite p variation,
1\leq p<2, are in fact moments of its winding number. This relation allows us
to prove that the signature series of a class of simple non-smooth curves
uniquely determine the curves. This implies that outside a Chordal SLE_{\kappa}
null set, where 0<\kappa\leq 4, the signature series of curves uniquely
determine the curves. Our calculations also enable us to express the Fourier
transform of the n-point functions of SLE curves in terms of the expected
signature of SLE curves. Although the techniques used in this article are
deterministic, the results provide a platform for studying SLE curves through
the signatures of their sample paths.


title:
Frameworks with forced symmetry II: Orientation-preserving
  crystallographic groups

abstract:
  We give a combinatorial characterization of minimally rigid planar frameworks
with orientation-preserving crystallographic symmetry, under the constraint of
forced symmetry. The main theorems are proved by extending the methods of the
first paper in this sequence from groups generated by a single rotation to
groups generated by translations and rotations. The proofs make use of a new
family of matroids defined on crystallographic groups and associated submodular
functions.


title: Cosmological anisotropy from non-comoving dark matter and dark energy

abstract:
  We consider a cosmological model in which the two major fluid components of
the Universe, dark energy and dark matter, flow with distinct four-velocities.
This cosmological configuration is equivalent to a single anisotropic fluid,
expanding with a four-velocity that is an appropriate combination of the two
fluid four-velocities. The energy density of the single cosmological fluid is
larger than the sum of the energy densities of the two perfect fluids, i.e.,
dark energy and dark matter, respectively, and contains a correction term due
to the anisotropy generated by the differences in the four-velocities.
Furthermore, the gravitational field equations of the two-fluid anisotropic
cosmological model are obtained for a Bianchi type I geometry. By assuming that
the non-comoving motion of the dark energy and dark matter induces small
perturbations in the homogeneous and isotropic
Friedmann-Lemaitre-Robertson-Walker type cosmological background, and that the
anisotropy parameter is small, the equations of the cosmological perturbations
due to the non-comoving nature of the two major components are obtained. The
time evolution of the metric perturbations is explicitly obtained for the cases
of the exponential and power law background cosmological expansion. Therefore,
if there is a slight difference between the four-velocities of the dark energy
and dark matter, the Universe would acquire some anisotropic characteristics,
and its geometry will deviate from the standard FLRW one. In fact, the recent
Planck results show that the presence of an intrinsic large scale anisotropy in
the Universe cannot be excluded {\it a priori}, so that the model presented in
this work can be considered as a plausible and viable working hypothesis.


title:
Simulation and Analysis Chain for Acoustic Ultra-high Energy Neutrino
  Detectors in Water

abstract:
  Acousticneutrinodetectionisapromisingapproachforlarge-scaleultra-highenergyneutrinodetectorsinwater.In
this article, a Monte Carlo simulation chain for acoustic neutrino detection
devices in water will be presented. The simulation chain covers the generation
of the acoustic pulse produced by a neutrino interaction and its propagation to
the sensors within the detector. Currently, ambient and transient noise models
for the Mediterranean Sea and simulations of the data acquisition hardware,
equivalent to the one used in ANTARES/AMADEUS, are implemented. A pre-selection
scheme for neutrino-like signals based on matched filtering is employed, as it
is used for on-line filtering. To simulate the whole processing chain for
experimental data, signal classification and acoustic source reconstruction
algorithms are integrated in an analysis chain. An overview of design and
capabilities of the simulation and analysis chain will be presented and
preliminary studies will be discussed.


title: Dark matter in galaxies: the dark matter particle mass is about 7 keV

abstract:
  Warm dark matter (WDM) means DM particles with mass m in the keV scale. For
large scales, (structures beyond ~ 100 kpc) WDM and CDM yield identical results
which agree with observations. For intermediate scales, WDM gives the correct
abundance of substructures. Inside galaxy cores, below ~ 100 pc, N-body WDM
classical physics simulations are incorrect because at such scales quantum WDM
effects are important. WDM quantum calculations (Thomas-Fermi approach) provide
galaxy cores, galaxy masses, velocity dispersions and density profiles in
agreement with the observations. For a dark matter particle decoupling at
thermal equilibrium (thermal relic), all evidences point out to a 2 keV
particle. Remarkably enough, sterile neutrinos decouple out of thermal
equilibrium with a primordial power spectrum similar to a 2 keV thermal relic
when the sterile neutrino mass is about 7 keV. Therefore, WDM can be formed by
7 keV sterile neutrinos. Excitingly enough, Bulbul et al. (2014) announced the
detection of a cluster X-ray emission line that could correspond to the decay
of a 7.1 keV sterile neutrino and to a neutrino decay mixing angle of \sin^2 2
\theta ~ 7 10^{-11} . This is a further argument in favour of sterile neutrino
WDM. Baryons, represent 10 % of DM or less in galaxies and are expected to give
a correction to pure WDM results. The detection of the DM particle depends upon
the particle physics model. Sterile neutrinos with keV scale mass (the main WDM
candidate) can be detected in beta decay for Tritium and Renium and in the
electron capture in Holmiun. The sterile neutrino decay into X rays can be
detected observing DM dominated galaxies and through the distortion of the
black-body CMB spectrum. So far, not a single valid objection arose against
WDM.


title: Interpolation in many valued predicate logics using algebraic logic

abstract:
  Using polyadic MV algebras, we show that many predicate many valued logics
have the interpolation property.


title:
Quasi-projective relation algebras and directed cylindric algebras are
  categorially equivalent

abstract:
  We show that quasi-projective relation algebras and directed cylindric
algebras are equivalent categorialy. We work out a Godels second incompleteness
theorem for finite varibale fragments of first order logic. We show that
distinct set theories (like one with CH, and another with its negation) give
rise to equationally distinct simple directed cylindric algebras. This
correspondance was worked out for quasi projective relation algebras (with a
distinguished element corresponding to membership relation). The idea of the
proof is that the Sagi representation of directed cylindric algebras preserve
well-foundnes. Finally, using that the functor defined preserves order, we show
that the class of directed cylindric algebras have the superamalgmation
property.


title: Entanglement in Theory Space

abstract:
  We propose a new concept of entanglement for quantum systems: entanglement in
theory space. This is defined by decomposing a theory into two by an un-gauging
procedure. We provide two examples where this newly-introduced entanglement is
closely related with conventional geometric entropies: deconstruction and
AGT-type correspondence.


title: Type Ia Supernovae Strongly Interacting with Their Circumstellar Medium

abstract:
  Owing to their utility for measurements of cosmic acceleration, Type Ia
supernovae (SNe) are perhaps the best-studied class of SNe, yet the progenitor
systems of these explosions largely remain a mystery. A rare subclass of SNe Ia
show evidence of strong interaction with their circumstellar medium (CSM), and
in particular, a hydrogen-rich CSM; we refer to them as SNe Ia-CSM. In the
first systematic search for such systems, we have identified 16 SNe Ia-CSM, and
here we present new spectra of 13 of them. Six SNe Ia-CSM have been
well-studied previously, three were previously known but are analyzed in-depth
for the first time here, and seven are new discoveries from the Palomar
Transient Factory. The spectra of all SNe Ia-CSM are dominated by H{\alpha}
emission (with widths of ~2000 km/s) and exhibit large H{\alpha}/H{\beta}
intensity ratios (perhaps due to collisional excitation of hydrogen via the SN
ejecta overtaking slower-moving CSM shells); moreover, they have an almost
complete lack of He I emission. They also show possible evidence of dust
formation through a decrease in the red wing of H{\alpha} 75-100 d past maximum
brightness, and nearly all SNe Ia-CSM exhibit strong Na I D absorption from the
host galaxy. The absolute magnitudes (uncorrected for host-galaxy extinction)
of SNe Ia-CSM are found to be -21.3 <= M_R <= -19 mag, and they also seem to
show ultraviolet emission at early times and strong infrared emission at late
times (but no detected radio or X-ray emission). Finally, the host galaxies of
SNe Ia-CSM are all late-type spirals similar to the Milky Way, or dwarf
irregulars like the Large Magellanic Cloud, which implies that these objects
come from a relatively young stellar population. This work represents the most
detailed analysis of the SN Ia-CSM class to date.


title: Weak lensing analysis of RXC J2248.7-4431

abstract:
  We present a weak lensing analysis of the cluster of galaxies RXC
J2248.7-4431, a massive system at z=0.3475 with prominent strong lensing
features covered by the HST/CLASH survey (Postman et al. 2012). Based on UBVRIZ
imaging from the WFI camera at the MPG/ESO-2.2m telescope, we measure
photometric redshifts and shapes of background galaxies. The cluster is
detected as a mass peak at 5sigma significance. Its density can be parametrised
as an NFW profile (Navarro et al. 1996) with two free parameters, the mass
M_200m=(33.1+9.6-6.8)x10^14Msol and concentration c_200m=2.6+1.5-1.0. We
discover a second cluster inside the field of view at a photometric redshift of
z~0.6, with an NFW mass of M_200m=(4.0+3.7-2.6)x10^14Msol.


title:
Mass function and assembly of dark halos: an approach to inventory
  isolated overdense regions in random fields

abstract:
  In order to attain a statistical description of the evolution of cosmic
density fluctuations in agreement with results from the numerical simulations,
we introduce a probability conditional formalism (CF) based on an inventory of
isolated overdense regions in a density random field. This formalism is a
useful tool for describing at the same time the mass function (MF) of dark
haloes, their mass aggregation histories (MAHs) and merging rates (MRs). The CF
focuses on virialized regions in a self-consistent way rather than in mass
elements, and it offers an economical description for a variety of random
fields. Within the framework of the CF, we confirm that, for a Gaussian field,
it is not possible to reproduce at the same time the MF, MAH, and MR of haloes,
both for a constant and moving barrier. Then, we develop an inductive method
for constraining the cumulative conditional probability from a given halo MF
description, and thus, using the CF, we calculate the halo MAHs and MRs. By
applying this method to the MF measured in numerical simulations by Tinker et
al. 2008, we find that a reasonable solution, justified by a mass conservation
argument, is obtained if ones introduce a rescaling -increment by ~30% - of the
virial mass used in simulations and a (slight) deviation from Gaussianity.
Thus, both the MAH and MR obtained by a Monte Carlo merger tree agree now with
the predictions of numerical simulations. We discuss on the necessity of
rescaling the virial mass in simulations when comparing with analytical
approaches on the ground of the matter not accounted as part of the halos and
the halo mass limit due to numerical. Our analysis supports the presence of a
diffuse dark matter component that is not taken into account in the measured
halo MFs inasmuch as it is not part of the collapsed structures.


title: Quantum hypermultiplet moduli spaces in N=2 string vacua: a review

abstract:
  The hypermultiplet moduli space M_H in type II string theories compactified
on a Calabi-Yau threefold X is largely constrained by supersymmetry (which
demands quaternion-K\"ahlerity), S-duality (which requires an isometric action
of SL(2, Z)) and regularity. Mathematically, M_H ought to encode all
generalized Donaldson-Thomas invariants on X consistently with wall-crossing,
modularity and homological mirror symmetry. We review recent progress towards
computing the exact metric on M_H, or rather the exact complex contact
structure on its twistor space.


title: Gravitational wave science with laser interferometers and pulsar timing

abstract:
  Within this decade gravitational wave detection will open a new observational
window on the Universe. Advanced ground based interferometers covering the kHz
frequency range will be online by 2016, and it is foreseeable the announcement
of a first detection within five years. At the same time, a worldwide effort of
detecting low frequency waves (in the nHz regime) by timing ultra-precise
millisecond pulsars is rapidly growing, possibly leading to a positive
detection within this decade. The mHz regime, bridging these two windows, is
the realm of space based interferometers, which might be launched in the late
20s. I provide here a short overview of the scientific payouts of gravitational
wave astronomy, focusing the discussion on the low frequency regime (pulsar
timing and space based interferometry). A detailed discussion of advanced
ground based interferometer can be found in Patrick Brady's contribution to
this proceedings series.


title:
The Discovery of the Most Distant Known Type Ia Supernova at Redshift
  1.914

abstract:
  We present the discovery of a Type Ia supernova (SN) at redshift $z = 1.914$
from the CANDELS multi-cycle treasury program on the \textit{Hubble Space
Telescope (HST)}. This SN was discovered in the infrared using the Wide-Field
Camera 3, and it is the highest-redshift Type Ia SN yet observed. We classify
this object as a SN\,Ia by comparing its light curve and spectrum with those of
a large sample of Type Ia and core-collapse supernovae (SNe). Its apparent
magnitude is consistent with that expected from the $\Lambda$CDM concordance
cosmology. We discuss the use of spectral evidence for classification of $z >
1.5$ SNe\,Ia using {\it HST} grism simulations, finding that spectral data
alone can frequently rule out SNe\,II, but distinguishing between SNe\,Ia and
SNe\,Ib/c can require prohibitively long exposures. In such cases, a
quantitative analysis of the light curve may be necessary for classification.
Our photometric and spectroscopic classification methods can aid the
determination of SN rates and cosmological parameters from the full
high-redshift CANDELS SN sample.


title: SO(10) inspired gauge-mediated supersymmetry breaking

abstract:
  We consider a supersymmetric model motivated by a SO(10) grand unified
theory: the gauge sector near the supersymmetry scale consists of SU(3)_c x
SU(2)_L x U(1)_R x U(1)_{B-L}. We embed this model in minimal gauge mediation
and incorporate neutrino data via an inverse seesaw mechanism. Also in this
restricted model, the additional D terms can rise the light Higgs mass in a
sizable way. Therefore, it is much easier to obtain m_h \simeq 125 GeV without
the need to push the supersymmetry spectrum to extremely large values as it
happens in models with minimal supersymmetric standard model particle content
only. We show that this model predicts a diphoton rate of the Higgs equal to or
smaller than the standard model expectation. We discuss briefly the collider
phenomenology with a particular focus on the next to lightest supersymmetric
particle in which this model offers the sneutrino as an additional possiblity.
Moreover, we point out that, also in this model variant, supersymmetry can be
discovered in Z' decays even in scenarios in which the strongly interacting
particles are too heavy to be produced at a sizable rate at the LHC with 14
TeV. In addition, we show that lepton flavor violating observables constrain
the size of the neutrino Yukawa couplings for which, in particular, muon decays
and \mu-e conversion in heavy atoms are of particular importance. Once these
constraints are fulfilled the rates for \tau decays are predicted to be below
the reach of near-future experiments.


title:
Galaxy Clusters around radio-loud AGN at 1.3 < z < 3.2 as seen by
  Spitzer

abstract:
  We report the first results from the Clusters Around Radio-Loud AGN (CARLA)
program, a Cycle 7 and 8 Spitzer Space Telescope snapshot program to
investigate the environments of a large sample of obscured and unobscured
luminous radio-loud AGN at 1.2 < z < 3.2. These data, obtained for 387 fields,
reach 3.6 and 4.5 um depths of [3.6] (AB) = 22.6 and [4.5] (AB) = 22.9 at the
95% completeness level, which is two to three times fainter than L* in this
redshift range. By using the color cut [3.6]-[4.5] > -0.1 (AB), which
efficiently selects high-redshift (z > 1.3) galaxies of all types, we identify
galaxy cluster member candidates in the fields of the radio-loud AGN. The local
density of these IRAC-selected sources is compared to the density of similarly
selected sources in blank fields. We find that 92% of the radio-loud AGN reside
in environments richer than average. The majority (55%) of the radio-loud AGN
fields are found to be overdense at a > 2 {\sigma} level; 10% are overdense at
a > 5 {\sigma} level. A clear rise in surface density of IRAC-selected sources
towards the position of the radio-loud AGN strongly supports an association of
the majority of the IRAC-selected sources with the radio-loud AGN. Our results
provide solid statistical evidence that radio-loud AGN are likely beacons for
finding high-redshift galaxy (proto-)clusters. We investigate how environment
depends on AGN type (unobscured radio-loud quasars vs. obscured radio
galaxies), radio luminosity and redshift, finding no correlation with either
AGN type or radio luminosity. We find a decrease in density with redshift,
consistent with galaxy evolution for this uniform, flux-limited survey. These
results are consistent with expectations from the orientation-driven AGN
unification model, at least for the high radio luminosity regimes considered in
this sample.


title: Thermal and Chemical Evolution of Collapsing Filaments

abstract:
  Intergalactic filaments form the foundation of the cosmic web that connect
galaxies together, and provide an important reservoir of gas for galaxy growth
and accretion. Here we present very high resolution two-dimensional simulations
of the thermal and chemical evolution of such filaments, making use of a 32
species chemistry network that tracks the evolution of key molecules formed
from hydrogen, oxygen, and carbon. We study the evolution of filaments over a
wide range of parameters including the initial density, initial temperature,
strength of the dissociating UV background, and metallicity. In low-redshift,
$Z \approx 0.1 Z_\odot $ filaments, the evolution is determined completely by
the initial cooling time. If this is sufficiently short, the center of the
filament always collapses to form dense, cold core containing a substantial
fraction of molecules. In high-redshift, $Z=10^{-3} Z_\odot$ filaments, the
collapse proceeds much more slowly. This is due mostly to the lower initial
temperatures, which leads to a much more modest increase in density before the
atomic cooling limit is reached, making subsequent molecular cooling much less
efficient.
  Finally, we study how the gravitational potential from a nearby dwarf galaxy
affects the collapse of the filament and compare this to NGC 5253, a nearby
starbusting dwarf galaxy thought to be fueled by the accretion of filament gas.
In contrast to our fiducial case, a substantial density peak forms at the
center of the potential. This peak evolves faster than the rest of the filament
due to the increased rate at which chemical species form and cooling occur. We
find that we achieve similar accretion rates as NGC 5253 but our
two-dimensional simulations do not recover the formation of the giant molecular
clouds that are seen in radio observations.


title:
Short-Range Entangled Bosonic States with Chiral Edge Modes and
  $T$-duality of Heterotic Strings

abstract:
  We consider states of bosons in two dimensions that do not support anyons in
the bulk, but nevertheless have stable chiral edge modes that are protected
even without any symmetry. Such states must have edge modes with central charge
$c=8k$ for integer $k$. While there is a single such state with $c=8$, there
are, naively, two such states with $c=16$, corresponding to the two distinct
even unimodular lattices in 16 dimensions. However, we show that these two
phases are the same in the bulk, which is a consequence of the uniqueness of
signature $(8k +n, n)$ even unimodular lattices. The bulk phases are stably
equivalent, in a sense that we make precise. However, there are two different
phases of the edge corresponding to these two lattices, thereby realizing a
novel form of the bulk-edge correspondence. Two distinct fully chiral edge
phases are associated with the same bulk phase, which is consistent with the
uniqueness of the bulk since the transition between them, which is generically
first-order, can occur purely at the edge. Our construction is closely related
to $T$-duality of toroidally compactified heterotic strings. We discuss
generalizations of these results.


title: Impact of a CP Violating Higgs: from LHC to Baryogenesis

abstract:
  We observe a generic connection between LHC Higgs data and electroweak
baryogenesis: the particle that contributes to the CP odd $hgg$ or $h \gamma
\gamma$ vertex would provide the CP violating source during a first order phase
transition. It is illustrated in the 2HDM that a common complex phase controls
the lightest Higgs properties at the LHC, electric dipole moments and the CP
violating source for electroweak baryogenesis. We perform a general
parametrization of Higgs effective couplings and a global fit to the LHC Higgs
data. Current LHC measurements prefer a nonzero phase for $\tan \beta \lesssim
1$ and EDM constraints still allow an order one phase for $\tan\beta\sim1$,
which gives sufficient room to generate the correct cosmic baryon asymmetry. We
also give some prospects in the direct measurements of CP violation in the
Higgs sector at the LHC.


title: Extended Supersymmetry and BPS solutions in baby Skyrme models

abstract:
  We continue the investigation of supersymmetric extensions of baby Skyrme
models in d=2+1 dimensions. In a first step, we show that the CP(1) form of the
baby Skyrme model allows for the same N=1 SUSY extension as its O(3)
formulation. Then we construct the N=1 SUSY extension of the gauged baby Skyrme
model, i.e., the baby Skyrme model coupled to Maxwell electrodynamics. In a
next step, we investigate the issue of N=2 SUSY extensions of baby Skyrme
models. We find that all gauged and ungauged submodels of the baby Skyrme model
which support BPS soliton solutions allow for an N=2 extension such that the
BPS solutions are one-half BPS states (i.e., annihilated by one-half of the
SUSY charges). In the course of our investigation, we also derive the general
BPS equations for completely general N=2 supersymmetric field theories of (both
gauged and ungauged) chiral superfields, and apply them to the gauged nonlinear
sigma model as a further, concrete example.


title:
Measuring light-ion production and fission cross sections versus elastic
  np-scattering at the upcoming NFS facility

abstract:
  The Medley setup is planned to be moved to and used at the new neutron
facility NFS where measurements of light-ion production and fission
cross-sections are planned at 1-40 MeV. Medley has eight detector telescopes
providing Delta E-Delta E-E data, each consisting of two silicon detectors and
a CsI(Tl) detector at the back. The telescope setup is rotatable and can be
made to cover any angle. Medley has previously been used in many measurements
at The Svedberg Laboratory (TSL) in Uppsala mainly with a quasi-mono-energetic
neutron beam at 96 and 175 MeV.
  To be able to do measurements at NFS, which will have a white neutron beam,
Medley needs to detect the reaction products with a high temporal resolution
providing the ToF of the primary neutron. In this paper we discuss the design
of the Medley upgrade along with simulations of the setup. We explore the use
of Parallel Plate Avalanche Counters (PPACs) which work very well for detecting
fission fragments but require more consideration for detecting deeply
penetrating particles.


title: A quantum logic gate between a solid-state quantum bit and a photon

abstract:
  Integrated quantum photonics provides a promising route towards scalable
solid-state implementations of quantum networks, quantum computers, and
ultra-low power opto-electronic devices. A key component for many of these
applications is the photonic quantum logic gate, where the quantum state of a
solid-state quantum bit (qubit) conditionally controls the state of a photonic
qubit. These gates are crucial for development of robust quantum networks,
non-destructive quantum measurements, and strong photon-photon interactions.
Here we experimentally realize a quantum logic gate between an optical photon
and a solid-state qubit. The qubit is composed of a quantum dot (QD) strongly
coupled to a nano-cavity, which acts as a coherently controllable qubit system
that conditionally flips the polarization of a photon on picosecond timescales,
implementing a controlled-NOT (cNOT) gate. Our results represent an important
step towards solid-state quantum networks and provide a versatile approach for
probing QD-photon interactions on ultra-fast timescales.


title: The Environment of HII Galaxies revisited

abstract:
  We present a study of the close (< 200 kpc) environment of 110 relatively
local (z< 0.16) HII galaxies, selected from the Sloan Digital Sky Survey (SDSS;
DR7). We use available spectroscopic and photometric redshifts in order to
investigate the presence of a close and possibly interacting companion galaxy.
Our aim is to compare the physical properties of isolated and interacting HII
galaxies and investigate possible systematic effects in their use as
cosmological probes. We find that interacting HII galaxies tend to be more
compact, less luminous and have a lower velocity dispersion than isolated ones,
in agreement with previous studies on smaller samples. However, as we verified,
these environmental differences do not affect the cosmologically important
L_{H{\beta}}-{\sigma} correlation of the HII galaxies.


title: Abelian Ashtekar formulation from the ADM action

abstract:
  We study the Ashtekar formulation of linear gravity starting from the ADM
first order action for the non linear theory, linearizing it, and performing a
canonical transformation that coordinatizes the phase space in terms of the
already linearized Ashtekar variables. The results obtained in this way are in
accordance with those obtained through the standard method, in which, after
introducing the Ashtekar variables for the full theory, a linearization around
the flat Abelian connection and its conjugate momentum is performed.


title: On Three Dimensional Quiver Gauge Theories and Integrability

abstract:
  In this work we compare different descriptions of the space of vacua of
certain three dimensional N=4 superconformal field theories, compactified on a
circle and mass-deformed to N=2 in a canonical way. The original N=4 theories
are known to admit two distinct mirror descriptions as linear quiver gauge
theories, and many more descriptions which involve the compactification on a
segment of four-dimensional N=4 super Yang-Mills theory. Each description gives
a distinct presentation of the moduli space of vacua. Our main result is to
establish the precise dictionary between these presentations. We also study the
relationship between this gauge theory problem and integrable systems. The
space of vacua in the linear quiver gauge theory description is related by
Nekrasov-Shatashvili duality to the eigenvalues of quantum integrable spin
chain Hamiltonians. The space of vacua in the four-dimensional gauge theory
description is related to the solution of certain integrable classical
many-body problems. Thus we obtain numerous dualities between these integrable
models.


title: Accuracy of topological entanglement entropy on finite cylinders

abstract:
  Topological phases are unique states of matter which support non-local
excitations which behave as particles with fractional statistics. A universal
characterization of gapped topological phases is provided by the topological
entanglement entropy (TEE). We study the finite size corrections to the TEE by
focusing on systems with $Z_2$ topological ordered state using density-matrix
renormalization group (DMRG) and perturbative series expansions. We find that
extrapolations of the TEE based on the Renyi entropies with Renyi index $n\geq
2$ suffer from much larger finite size corrections than do extrapolations based
on the von Neumann entropy. In particular, when the circumference of the
cylinder is about ten times the correlation length, the TEE obtained using von
Neumann entropy has an error of order $10^{-3}$, while for Renyi entropies it
can even exceed 40%. We discuss the relevance of these findings to previous and
future searches for topological ordered phases, including quantum spin liquids.


title:
Basics of functional analysis with bicomplex scalars, and bicomplex
  Schur analysis

abstract:
  With the goal of providing the foundations for a rigorous study of modules of
bicomplex holomorphic functions, we develop a general theory of functional
analysis with bicomplex scalars. Even though the basic properties of bicomplex
number are well known and widely available, our analysis requires some more
delicate discussion of the various structures which are hidden in the ring of
bicomplex numbers. We study in particular matrices with bicomplex numbers,
bicomplex modules, and inner products and norms in bicomplex modules. We
consider two kinds of norms on bicomplex modules: a real-valued norm (as one
would expect), and a hyperbolic-valued norm. Interestingly enough, while both
norms can be used to build the theory of normed bicomplex modules, the
hyperbolic-valued norm appears to be much better compatible with the structure
of bicomplex modules. We also consider linear functionals on bicomplex numbers.
To conclude we describe a bicomplex version of classical Schur analysis


title: FK-DLR states of a quantum bose-gas with a card-core interaction

abstract:
  The paper focuses on infinite-volume bosonic states for a quantum particle
system (a quantum gas) in a Euclidean space. The kinetic energy part of the
Hamiltonian is the standard Laplacian (with a Dirichlet's boundary condition at
the border of a `box'). The particles interact with each other through a
two-body finite-range potential depending on the distance between them and
featuring a hard core of a positive diameter. We introduce a class of so-called
FK-DLR functionals containing all limiting Gibbs states of the system. In the
next paper we will prove that any FK-DLR functional is shift-invariant,
regardless of whether it is unique or not.


title:
The hidden symmetry-breaking picture of symmetry-protected topological
  order

abstract:
  We generalize the hidden symmetry-breaking picture of symmetry-protected
topological (SPT) order developed by Kennedy and Tasaki in the context of the
Haldane phase. Our generalization applies to a wide class of SPT phases in
one-dimensional spin chains, protected by an on-site representation of a finite
abelian group. This generalization takes the form of a non-local unitary map
that relates local symmetry-respecting Hamiltonians in an SPT phase to local
Hamiltonians in a symmetry-broken phase. Using this unitary, we establish a
relation between the two-point correlation functions that characterize fully
symmetry-broken phases with the string-order correlation functions that
characterise the SPT phases, therefore establishing the perspective in these
systems that SPT phases are characterised by hidden symmetry-breaking. Our
generalization is also applied to systems with continuous symmetries, including
SO(2k+1) and SU(k).


title: Wilson loops and the geometry of matrix models in AdS_4/CFT_3

abstract:
  We study a general class of supersymmetric AdS_4 x Y_7 solutions of M-theory
that have large N dual descriptions as N = 2 Chern-Simons-matter theories on
S^3. The Hamiltonian function h_M for the M-theory circle, with respect to a
certain contact structure on Y_7, plays an important role in the duality. We
show that an M2-brane wrapping the M-theory circle, giving a fundamental string
in AdS_4, is supersymmetric precisely at the critical points of h_M, and
moreover the value of this function at the critical point determines the
M2-brane action. Such a configuration determines the holographic dual of a BPS
Wilson loop for a Hopf circle in S^3, and leads to an effective method for
computing the Wilson loop on both sides of the correspondence in large classes
of examples. We find agreement in all cases, including for several infinite
families, and moreover we find that the image h_M(Y_7) determines the range of
support of the eigenvalues in the dual large N matrix model, with the critical
points of h_M mapping to points where the derivative of the eigenvalue density
is discontinuous.


title: Neat atom structures

abstract:
  An atom structure is neat if there an algebra based on this atom structure in
Nr_nCA_{\omega}. We show that this class is not elementary


title:
Quantitative analysis of the evolution of novelty in cinema through
  crowdsourced keywords

abstract:
  The generation of novelty is central to any creative endeavor. Novelty
generation and the relationship between novelty and individual hedonic value
have long been subjects of study in social psychology. However, few studies
have utilized large-scale datasets to quantitatively investigate these issues.
Here we consider the domain of American cinema and explore these questions
using a database of films spanning a 70 year period. We use crowdsourced
keywords from the Internet Movie Database as a window into the contents of
films, and prescribe novelty scores for each film based on occurrence
probabilities of individual keywords and keyword-pairs. These scores provide
revealing insights into the dynamics of novelty in cinema. We investigate how
novelty influences the revenue generated by a film, and find a relationship
that resembles the Wundt-Berlyne curve. We also study the statistics of keyword
occurrence and the aggregate distribution of keywords over a 100 year period.


title: Longitudinal inverted compressibility in super-strained metamaterials

abstract:
  We develop a statistical physics theory for solid-solid phase transitions in
which a metamaterial undergoes longitudinal contraction in response to increase
in external tension. Such transitions, which are forbidden in thermodynamic
equilibrium, have recently been shown to be possible during the decay of
metastable, super-strained states. We present a first-principles model to
predict these transitions and validate it using molecular dynamics simulations.
Aside from its immediate mechanical implications, our theory points to a wealth
of analogous inverted responses, such as inverted susceptibility or
heat-capacity transitions, allowed when considering realistic scales.


title:
Introduction: The FuturICT Knowledge Accelerator Towards a More
  Resilient and Sustainable Future

abstract:
  The FuturICT project is a response to the European Flagship Call in the Area
of Future and Emerging Technologies, which is planning to spend 1 billion EUR
on each of two flagship projects over a period of 10 years. FuturICT seeks to
create an open, global but decentralized, democratically controlled information
platform that will use online data and real-time measurements together with
novel theoretical models and experimental methods to achieve a paradigm shift
in our understanding of today's strongly interdependent and complex world and
make our techno-socio-economic systems more flexible, adaptive, resilient,
sustainable, and livable through a participatory approach.


title: A Dynamical Systems Approach to Energy Disaggregation

abstract:
  Energy disaggregation, also known as non-intrusive load monitoring (NILM), is
the task of separating aggregate energy data for a whole building into the
energy data for individual appliances. Studies have shown that simply providing
disaggregated data to the consumer improves energy consumption behavior.
However, placing individual sensors on every device in a home is not presently
a practical solution. Disaggregation provides a feasible method for providing
energy usage behavior data to the consumer which utilizes currently existing
infrastructure. In this paper, we present a novel framework to perform the
energy disaggregation task. We model each individual device as a single-input,
single-output system, where the output is the power consumed by the device and
the input is the device usage. In this framework, the task of disaggregation
translates into finding inputs for each device that generates our observed
power consumption. We describe an implementation of this framework, and show
its results on simulated data as well as data from a small-scale experiment.


title:
Precision predictions for electroweak superpartner production at hadron
  colliders with Resummino

abstract:
  We describe the Resummino package, a C++ and Fortran program dedicated to
precision calculations in the framework of gaugino and slepton pair production
at hadron colliders. This code allows to calculate transverse-momentum and
invariant-mass distributions as well as total cross sections by combining the
next-to-leading order predictions obtained by means of perturbative QCD with
the resummation of the large logarithmic contributions arising in the small
transverse-momentum region and close to the production threshold. The results
computed in this way benefit from reduced theoretical uncertainties, compared
to a pure next-to-leading order approach as currently employed in the
experimental analyses searching for sleptons and gauginos at hadron colliders.
This is illustrated by using of Resummino in the context of a typical
supersymmetric benchmark point dedicated to superpartner searches at the Large
Hadron Collider.