title: New N=5,6, 3D gauged supergravities and holography

abstract:
  We study $N=5$ gauged supergravity in three dimensions with compact,
non-compact and non-semisimple gauge groups. The theory under consideration is
of Chern-Simons type with $USp(4,k)/USp(4)\times USp(k)$ scalar manifold. We
classify possible semisimple gauge groups of the $k=2,4$ cases and identify
some of their critical points. A number of supersymmetric $AdS_3$ critical
points are found, and holographic RG flows interpolating between these critical
points are also investigated. As one of our main results, we consider a
non-semisimple gauge group $SO(5)\ltimes \mathbf{T}^{10}$ for the theory with
$USp(4,4)/USp(4)\times USp(4)$ scalar manifold. The resulting theory describes
$N=5$ gauged supergravity in four dimensions reduced on $S^1/\mathbb{Z}_2$ and
admits a maximally supersymmetric $AdS_3$ critical point with
$Osp(5|2,\mathbb{R})\times Sp(2,\mathbb{R})$ superconformal symmetry. We end
the paper with the construction of $SO(6)\ltimes \mathbf{T}^{15}$ gauged
supergravity with $N=6$ supersymmetry. The theory admits a half-supersymmetric
domain wall as a vacuum solution and may be obtained from an $S^1/\mathbb{Z}_2$
reduction of $N=6$ gauged supergravity in four dimensions.


title: CeIrIn5: Superconductivity on a Magnetic Instability

abstract:
  We report the doping-induced antiferromagnetic state and Fermi liquid state
that are connected by a superconducting region in a series of
CeIrIn$_{5-x}$Hg$_x$, CeIrIn$_{5-x}$Sn$_x$ and CeIr$_{1-x}$Pt$_x$In$_5$ single
crystals. Measurements of the specific heat $C(T)$ and electrical resistivity
$\rho(T)$ demonstrate that hole doping via Hg/In substitution gives rise to an
antiferromagnetic ground state, but substitutions of In by Sn or Ir by Pt
(electron doping) favor a paramagnetic Fermi liquid state. A cone-like
non-Fermi liquid region is observed near CeIrIn$_5$, showing a diverging
effective mass on the slightly Hg-doped side. The obtained temperature-doping
phase diagram suggests that CeIrIn$_5$ is in proximity to an antiferromagnetic
quantum critical point, and heavy fermion superconductivity in this compound is
mediated by magnetic quantum fluctuations rather than by valence fluctuations.


title: Hessian geometry on Lagrange spaces

abstract:
  We extend the correspondence between Hessian and K\"ahler metrics and
curvatures to Lagrange spaces.


title:
Rotational properties of nuclei around $^{254}$No investigated using a
  spectroscopic-quality Skyrme energy density functional

abstract:
  Nuclei in the $Z\approx100$ mass region represent the heaviest systems where
detailed spectroscopic information is experimentally available. Although
microscopic-macroscopic and self-consistent models have achieved great success
in describing the data in this mass region, a fully satisfying precise
theoretical description is still missing.
  By using fine-tuned parametrizations of the energy density functionals, the
present work aims at an improved description of the single-particle properties
and rotational bands in the nobelium region. Such locally optimized
parameterizations may have better properties when extrapolating towards the
superheavy region.
  Skyrme-Hartree-Fock-Bogolyubov and Lipkin-Nogami methods were used to
calculate the quasiparticle energies and rotational bands of nuclei in the
nobelium region. Starting from the most recent Skyrme parametrization, UNEDF1,
the spin-orbit coupling constants and pairing strengths have been tuned, so as
to achieve a better agreement with the excitation spectra and odd-even mass
differences in $^{251}$Cf and $^{249}$Bk.
  The quasiparticle properties of $^{251}$Cf and $^{249}$Bk were very well
reproduced. At the same time, crucial deformed neutron and proton shell gaps
open up at $N=152$ and $Z=100$, respectively. Rotational bands in Fm, No, and
Rf isotopes, where experimental data are available, were also fairly well
described. To help future improvements towards a more precise description,
small deficiencies of the approach were carefully identified.
  In the $Z\approx100$ mass region, larger spin-orbit strengths than those from
global adjustments lead to improved agreement with data. Puzzling effects of
particle-number restoration on the calculated moment of inertia, at odds with
the experimental behaviour, require further scrutiny.


title: Generalized Sasaki metrics on tangent bundles

abstract:
  We define a class of metrics that extend the Sasaki metric of a tangent
manifold of a Riemannian manifold. The new metrics are obtained by the transfer
of the generalized (pseudo-)Riemannian metrics of the pullback of the big
tangent bundle of a manifold to the tangent manifold. We obtain the expression
of the transferred metric and we define a canonical, metric connection with
torsion. We calculate the torsion, curvature and Ricci curvature of this
connection and give a few applications of the results. We also discuss the
transfer of generalized complex and generalized Kaehler structures.


title: Uniqueness Conditions for A Class of l0-Minimization Problems

abstract:
  We consider a class of l0-minimization problems, which is to search for the
partial sparsest solution to an underdetermined linear system with additional
constraints. We introduce several concepts, including lp-induced norm (0 < p <
1), maximal scaled spark and scaled mutual coherence, to develop several new
uniqueness conditions for the partial sparsest solution to this class of
l0-minimization problems. A further improvement of some of these uniqueness
criteria have been also achieved through the so-called concepts such as maximal
scaled (sub)coherence rank.


title: On the hadronic cascade scenario for extreme BL Lacs

abstract:
  The peculiar high-energy emission spectrum of the so-called extreme BL Lacs
(EHBL) challenges the standard emission models of blazars. Among the possible
solutions, the so-called hadronic cascade scenario assumes that the observed
high-energy radiation is produced in the intergalactic space through
photo-hadronic reactions by ultra-high energy cosmic rays (UHECR) with energies
up to $10^{19-20}$ eV beamed by the blazar jet. Under the assumption --
implicit in this model -- that the intrinsic high-energy synchrotron-self
Compton emission of the blazar does not substantially contribute to the
observed $\gamma$-ray spectrum, we derive constraints to the basic physical
quantities of the jet and we compare them with the requirements of the hadronic
cascade scenario. We found that, for a plausible range of relativistic jet
Doppler factors ($\delta=10-50$), the maximum achievable energy of the
accelerated protons can exceed $2\times 10^{19}$ eV with jet powers of the
order of $\approx 10^{44}$ erg s$^{-1}$, parameters compatible with the
requests of the hadronic scenario even if EHBL are embedded in magnetic fields
of cosmic filaments. We also discuss the consequences of our results for the
possibility that local EHBL contribute to the observed UHECR.


title:
X-ray detection with Micromegas with background levels below 10$^{-6}$
  keV$^{-1}$cm$^{-2}$s$^{-1}$

abstract:
  Micromegas detectors are an optimum technological choice for the detection of
low energy x-rays. The low background techniques applied to these detectors
yielded remarkable background reductions over the years, being the CAST
experiment beneficiary of these developments. In this document we report on the
latest upgrades towards further background reductions and better understanding
of the detectors' response. The upgrades encompass the readout electronics, a
new detector design and the implementation of a more efficient cosmic muon veto
system. Background levels below 10$^{-6}$keV$^{-1}$cm$^{-2}$s$^{-1}$ have been
obtained at sea level for the first time, demonstrating the feasibility of the
expectations posed by IAXO, the next generation axion helioscope. Some results
obtained with a set of measurements conducted in the x-ray beam of the CAST
Detector Laboratory will be also presented and discussed.


title: On Load Shedding in Complex Event Processing

abstract:
  Complex Event Processing (CEP) is a stream processing model that focuses on
detecting event patterns in continuous event streams. While the CEP model has
gained popularity in the research communities and commercial technologies, the
problem of gracefully degrading performance under heavy load in the presence of
resource constraints, or load shedding, has been largely overlooked. CEP is
similar to "classical" stream data management, but addresses a substantially
different class of queries. This unfortunately renders the load shedding
algorithms developed for stream data processing inapplicable. In this paper we
study CEP load shedding under various resource constraints. We formalize broad
classes of CEP load-shedding scenarios as different optimization problems. We
demonstrate an array of complexity results that reveal the hardness of these
problems and construct shedding algorithms with performance guarantees. Our
results shed some light on the difficulty of developing load-shedding
algorithms that maximize utility.


title:
All ASD complex and real 4-dimensional Einstein spaces with $\Lambda \ne
  0$ admitting a nonnull Killing vector

abstract:
  Anti-self-dual (ASD) 4-dimensional complex Einstein spaces with nonzero
cosmological constant $\Lambda$ equipped with a nonnul Killing vector are
considered. It is shown, that any conformally nonflat metric of such spaces can
be always brought to a special form and the Einstein field equations can be
reduced to the Boyer-Finley-Pleba\'nski equation (Toda field equation). Some
alternative form of the metric are discussed. All possible real slices
(neutral, Euclidean and Lorentzian) of ASD complex spaces admitting a nonnull
Killing vector are found.


title:
Coulomb and spin-orbit interactions in random phase approximation
  calculations

abstract:
  We present a fully self-consistent computational framework composed by
Hartree-Fock plus ran- dom phase approximation where the spin-orbit and Coulomb
terms of the interaction are included in both steps of the calculations. We
study the effects of these terms of the interaction on the random phase
approximation calculations, where they are usually neglected. We carry out our
investigation of excited states in spherical nuclei of oxygen, calcium, nickel,
zirconium, tin and lead isotope chains. We use finite-range effective
nucleon-nucleon interactions of Gogny type. The size of the effects we find is,
usually, of few hundreds of keV. There are not simple approximations which can
be used to simulate these effects since they strongly depend on all the
variables related to the excited states, angular momentum, parity, excitation
energy, isoscalar and isovector characters. Even the Slater approximation
developed to account for the Coulomb exchange terms in Hartree-Fock is not
valid in random phase approximation calculations.


title:
Comment on `Energy transfer, entanglement and decoherence in a molecular
  dimer interacting with a phonon bath'

abstract:
  We show that the influence of the shared phonon bath considered in H.
Hossein-Nejad and G. D. Scholes, New J. Phys. 12, 065045 (2010) on the exciton
transfer in a two-molecule system can be reproduced by that of an independent
bath model.


title: Strategic Argumentation is NP-Complete

abstract:
  In this paper we study the complexity of strategic argumentation for dialogue
games. A dialogue game is a 2-player game where the parties play arguments. We
show how to model dialogue games in a skeptical, non-monotonic formalism, and
we show that the problem of deciding what move (set of rules) to play at each
turn is an NP-complete problem.


title: A synthetic algebraic approach to a discussion of Riemann's hypothesis

abstract:
  A fresh approach to the long debated question is proposed, starting from the
GRAM-BACKLUND analytical continuation of the Zeta function (G-B Zeta
expression). Consideration is given to the symmetric (even-exponent) and
anti-symmetric (odd exponent) components of the power series representation of
the G-B formulation along a circular path containing the 4 hypothetical
zero-points predicted by HADAMARD and DE LA VALLEE POUSSIN (H/DLVP 'outlying'
quartet). From the necessary conditions required of the even- and odd-exponent
components at a representative zero-point of the hypothetical quartet some
interesting logical consequences are derived and briefly discussed in the
framework of the RIEMANN Hypothesis. A temporary mapping of the representative
zero-point of the hypothetical quartet onto a higher-dimensional auxiliary
domain provides an intriguing short-cut to the negative conclusion about the
possibility of existence of such outlying zero-points.


title: Disproof of a conjecture by Rademacher on partial fractions

abstract:
  In his book Topics in Analytic Number Theory, Rademacher considered the
generating function of partitions into at most $N$ parts, and conjectured
certain limits for the coefficients of its partial fraction decomposition. We
carry out an asymptotic analysis that disproves this conjecture, thus
confirming recent observations of Sills and Zeilberger (Journal of Difference
Equations and Applications 19, 2013), who gave strong numerical evidence
against the conjecture.


title: Extreme Events in Nonlinear Lattices

abstract:
  The spatiotemporal complexity induced by perturbed initial excitations
through the development of modulational instability in nonlinear lattices with
or without disorder, may lead to the formation of very high amplitude,
localized transient structures that can be named as extreme events. We analyze
the statistics of the appearance of these collective events in two different
universal lattice models; a one-dimensional nonlinear model that interpolates
between the integrable Ablowitz-Ladik (AL) equation and the nonintegrable
discrete nonlinear Schr\"odinger (DNLS) equation, and a two-dimensional
disordered DNLS equation. In both cases, extreme events arise in the form of
discrete rogue waves as a result of nonlinear interaction and rapid coalescence
between mobile discrete breathers. In the former model, we find power-law
dependence of the wave amplitude distribution and significant probability for
the appearance of extreme events close to the integrable limit. In the latter
model, more importantly, we find a transition in the the return time
probability of extreme events from exponential to power-law regime. Weak
nonlinearity and moderate levels of disorder, corresponding to weak chaos
regime, favour the appearance of extreme events in that case.


title: Bin Mode Estimation Methods for Compton Camera Imaging

abstract:
  We study the image reconstruction problem of a Compton camera which consists
of semiconductor detectors. The image reconstruction is formulated as a
statistical estimation problem. We employ a bin-mode estimation (BME) and
extend an existing framework to a Compton camera with multiple scatterers and
absorbers. Two estimation algorithms are proposed: an accelerated EM algorithm
for the maximum likelihood estimation (MLE) and a modified EM algorithm for the
maximum a posteriori (MAP) estimation. Numerical simulations demonstrate the
potential of the proposed methods.


title: 5-dimensional braneworld with gravitating Nambu-Goto matching conditions

abstract:
  We continue the investigation of a recent proposal on alternative matching
conditions for self-gravitating defects which generalize the standard matching
conditions. The reasoning for this study is the need for consistency of the
various codimension defects and the existence of a meaningful equation of
motion at the probe limit, things that seem to lack from the standard approach.
These matching conditions arise by varying the brane-bulk action with respect
to the brane embedding fields (and not with respect to the bulk metric at the
brane position) in a way that takes into account the gravitational
back-reaction of the brane to the bulk. They always possess a Nambu-Goto probe
limit and any codimension defect is seemingly consistent for any second order
bulk gravity theory. Here, we consider in detail the case of a codimension-1
brane in five-dimensional Einstein gravity, derive the generic alternative
junction conditions and find the Z_{2}-symmetric braneworld cosmology, as well
as its bulk extension. Compared to the standard braneworld cosmology, the new
one has an extra integration constant which accounts for the today matter and
dark energy contents, therefore, there is more freedom for accommodating the
observed cosmic features. One branch of the solution possesses the asymptotic
linearized LFRW regime. We have constrained the parameters so that to have a
recent passage from a long deceleration era to a small today acceleration epoch
and we have computed the age of the universe, consistent with current data, and
the time-varying dark energy equation of state. For a range of the parameters
it is possible for the presented cosmology to provide a large acceleration in
the high energy regime.


title: Planet-Disc Interactions and Early Evolution of Planetary Systems

abstract:
  The great diversity of extrasolar planetary systems has challenged our
understanding of how planets form, and how their orbits evolve as they form.
Among the various processes that may account for this diversity, the
gravitational interaction between planets and their parent protoplanetary disc
plays a prominent role in shaping young planetary systems. Planet-disc forces
are large, and the characteristic times for the evolution of planets orbital
elements are much shorter than the lifetime of protoplanetary discs. The
determination of such forces is challenging, because it involves many physical
mechanisms and it requires a detailed knowledge of the disc structure. Yet, the
intense research of the past few years, with the exploration of many new
avenues, represents a very significant improvement on the state of the
discipline. This chapter reviews current understanding of planet-disc
interactions, and highlights their role in setting the properties and
architecture of observed planetary systems.


title: AGN surveys to study galaxy evolution along cosmic times

abstract:
  Various observational techniques have been used to survey galaxies and AGN,
from X-rays to radio frequencies, both photometric and spectroscopic. I will
review these techniques aimed at the study of galaxy evolution and of the role
of AGNs and star formation as the two main energy production mechanisms. I will
then present as a new observational approach the far-IR spectroscopic surveys
that could be done with planned astronomical facilities of the next future,
such as SPICA from the space and CCAT from the ground.


title:
On mesoscopic equilibrium for linear statistics in Dyson's Brownian
  Motion

abstract:
  In this paper we study mesoscopic fluctuations for Dyson's Brownian motion
with $\beta=2$. Dyson showed that the Gaussian Unitary Ensemble (GUE) is the
invariant measure for this stochastic evolution and conjectured that, when
starting from a generic configuration of initial points, the time that is
needed for the GUE statistics to become dominant depends on the scale we look
at: The microscopic correlations arrive at the equilibrium regime sooner than
the macrosopic correlations. In this paper we investigate the transition on the
intermediate, i.e. mesoscopic, scales. The time scales that we consider are
such that the system is already in microscopic equilibrium (sine-universality
for the local correlations), but we have not yet reached equilibrium at the
macrosopic scale. We describe the transition to equilibrium on all mesoscopic
scales by means of Central Limit Theorems for linear statistics with
sufficiently smooth test functions. We consider two situations: deterministic
initial points and randomly chosen initial points. In the random situation, we
obtain a transition from the classical Central Limit Theorem for independent
random variables to the one for the GUE.


title: No-arbitrage conditions and absolutely continuous changes of measure

abstract:
  We study the stability of several no-arbitrage conditions with respect to
absolutely continuous, but not necessarily equivalent, changes of measure. We
first consider models based on continuous semimartingales and show that
no-arbitrage conditions weaker than NA and NFLVR are always stable. Then, in
the context of general semimartingale models, we show that an absolutely
continuous change of measure does never introduce arbitrages of the first kind
as long as the change of measure density process can reach zero only
continuously.


title: Homothetic motions and Newtonian cosmology

abstract:
  We consider the homothetic motion group. We construct a homothetic covariant
Newtonian gravitation theory which unifies inertial homothetic forces and
gravitational fields. This is achieved through an equivalence principle based
on a local homothetic frame of motion. As a consequence, we can obtain a
coherent Newtonian cosmology which admits a cosmological principle and leads to
the Friedman equations for a dust universe. Finally we prove that this gravity
theory can be obtained as the non-relativistic limit of a class of metrics in
General Relativity. The Friedmann-Lema\^\i tre-Robertson-Walker (FLRW) metric
and its limit are also studied.


title: Schwinger's Approach to Einstein's Gravity and Beyond

abstract:
  Julian Schwinger (1918--1994), founder of renormalized quantum
electrodynamics, was arguably the leading theoretical physicist of the second
half of the 20th century. Thus it is not surprising that he made contributions
to gravity theory as well. His students made major impacts on the still
uncompleted program of constructing a quantum theory of gravity. Schwinger
himself had no doubt of the validity of general relativity, although he
preferred a particle-physics viewpoint based on gravitons and the associated
fields, and not the geometrical picture of curved spacetime. This note provides
a brief summary of his contributions and attitudes toward the subject of
gravity.


title: The Bethe Logarithm for resonant states. Antiprotonic helium

abstract:
  We develop a numerical method to calculate the Bethe logarithm for resonant
states. We use the Complex Coordinate Rotation (CCR) formalism to describe
resonances as time-independent Schr\"odinger solutions. To get a proper
expression for the Bethe logarithm we apply the generalization of the second
order perturbation theory to an isolated CCR eigenstate. Using the developed
method we perform a systematic calculation of the Bethe logarithm for
metastable states in the antiprotonic helium He$^+\bar{p}\,$ atoms with
precision of 7--8 significant digits. We also recalculate the nonrelativistic
energies with improved precision using CODATA10 recommended values of masses.
Along with a complete set of corrections of $m\alpha^7$ order and the leading
contributions of $m\alpha^8$ order that has allowed us to get new theoretical
values for ro-vibrational transition frequencies for the He$^+\bar{p}$ atoms
with uncertainty of 0.1--0.3 MHz.


title:
Current understanding of the processes underlying the triggering of and
  energy loss associated with type I ELMs

abstract:
  The type I ELMy H-mode is the baseline operating scenario for ITER. While it
is known that the type I ELM ultimately results from the peeling-ballooning
instability, there is growing experimental evidence that a mode grows up before
the ELM crash that may modify the edge plasma, which then leads to the ELM
event due to the peeling-ballooning mode. The triggered mode results in the
release of a large number of particles and energy from the core plasma but the
precise mechanism by which these losses occur is still not fully understood and
hence makes predictions for future devices uncertain. Our current understanding
of the processes that trigger type I ELMs and the size of the resultant energy
loss are reviewed and compared to experimental data and ideas for further
development are discussed.


title: Propagation of chaos for the thermostatted Kac master equation

abstract:
  The Kac model is a simplified model of an $N$-particle system in which the
collisions of a real particle system are modeled by random jumps of pairs of
particle velocities. Kac proved propagation of chaos for this model, and hence
provided a rigorous validation of the corresponding Boltzmann equation.
Starting with the same model we consider an $N$-particle system in which the
particles are accelerated between the jumps by a constant uniform force field
which conserves the total energy of the system. We show propagation of chaos
for this model.


title: A universal boundary value problem for partial differential equations

abstract:
  A new boundary value problem for partial differential equations is discussed.
We consider an arbitrary solution of an elliptic or parabolic equation in a
given domain and no boundary conditions are assumed. We study which
restrictions the boundary values of the solution and its normal derivatives
must satisfy. Linear integral equations for the boundary values of the solution
and its normal derivatives are obtained, which we call the universal boundary
value equations. A universal boundary value problem is defined as a partial
differential equation together with the boundary data which specify the values
of the solution on the boundary and its normal derivatives and satisfy to the
universal boundary value equations.
  For the equations of mathematical physics such as Laplace's and the heat
equation the solution of the universal boundary value problem is presented.
Applications to cosmology and quantum mechanics are mentioned.


title:
Heralded single phonon preparation, storage and readout in cavity
  optomechanics

abstract:
  We analyze theoretically how to use the radiation pressure coupling between a
mechanical oscillator and an optical cavity field to generate in a heralded way
a single quantum of mechanical motion (a Fock state), and release on-demand the
stored excitation as a single photon. Starting with the oscillator close to its
ground state, a laser pumping the upper motional sideband leads to dynamical
backaction amplification and to the creation of correlated photon-phonon pairs.
The detection of one Stokes photon thus projects the macroscopic oscillator
into a single-phonon Fock state. The non-classical nature of this mechanical
state can be demonstrated by applying a readout laser on the lower sideband
(i.e. optical cooling) to map the phononic state to a photonic mode, and by
performing an autocorrelation measurement on the anti-Stokes photons. We
discuss the relevance of our proposal for the future of cavity optomechanics as
an enabling quantum technology.


title: Theory Overview of Testing Fundamental Symmetries

abstract:
  I review first some theoretical motivations for violation of Lorentz and/or
CPT Invariance. Although the latter symmetries may be violated in a quantum
gravity setting, nevertheless there are situations in which these violations
are due to a given classical background geometry that may characterised early
epochs of our Universe, and in fact be responsible for the observed dominance
of matter over antimatter in the Universe. In this way I estimate some of the
coefficients of the Standard Model Extension (SME), which is a framework for a
field theoretic study of such a breakdown of fundamental symmetries. Then I
describe briefly some tests of these symmetries, giving emphasis in low-energy
antiproton physics and electric dipole moment measurements, of interest to this
conference. I also mention the r\^ole of entangled states of neutral mesons in
providing independent measurements of T(ime reversal) and CP Violation, thus
providing independent tests of CPT symmetry, as well as novel ("smoking-gun"
type) tests of decoherence-induced CPT violation, which may characterise some
models of quantum gravity.


title: Quiescent state and outburst evolution of SGR 0501+4516

abstract:
  We report on the quiescent state of the Soft Gamma Repeater SGR 0501+4516
observed by XMM-Newton on 2009 August 30. The source exhibits an absorbed flux
~75 times lower than that measured at the peak of the 2008 outburst, and a
rather soft spectrum, with the same value of the blackbody temperature observed
with ROSAT back in 1992. This new observation is put into the context of all
existing X-ray data since its discovery in August 2008, allowing us to complete
the study of the timing and spectral evolution of the source from outburst
until its quiescent state. The set of deep XMM-Newton observations performed
during the few-years timescale of its outburst allows us to monitor the
spectral characteristics of this magnetar as a function of its rotational
period, and their evolution along these years. After the first ~10 days, the
initially hot and bright surface spot progressively cooled down during the
decay. We discuss the behaviour of this magnetar in the context of its
simulated secular evolution, inferring a plausible dipolar field at birth of
3x10^14 G, and a current (magneto-thermal) age of ~10 kyr.


title: Forme des Connexes de Farey

abstract:
  The aim of this work is to prove that the connected parts of Farey complex
structure in plane are triangles or quadrangles. To do this work we go back to
plane convex polygones with oriented edge for wich we prove that if two
consecutive vectors of the edge never are in the same quadrant, then the
polygone is a triangle or a quadrangle. Then we prove that the connected parts
of Farey complex have this property.


title:
Stability and Stabilization of Infinite-dimensional Linear
  Port-Hamiltonian Systems

abstract:
  Stability and stabilization of linear port-Hamiltonian systems on
infinite-dimensional spaces are investigated. This class is general enough to
include models of beams and waves as well as transport and Schr\"odinger
equations with boundary control and observation. The analysis is based on the
frequency domain method which gives new results for second order
port-Hamiltonian systems and hybrid systems. Stabilizing controllers with
colocated input and output are designed. The obtained results are applied to
the Euler-Bernoulli beam.


title:
The Antares Collaboration : Contributions to the 33st International
  Cosmic Ray Conference (ICRC 2013, Rio de Janeiro)

abstract:
  The ANTARES detector, completed in 2008, is the largest neutrino telescope in
the Northern hemisphere. Located at a depth of 2.5 km in the Mediterranean Sea,
40 km off the Toulon shore, its main goal is the search for astrophysical high
energy neutrinos. In this paper we collect the 14 contributions of the ANTARES
collaboration to the 33rd International Cosmic Ray Conference (ICRC 2013). The
scientific output is very rich and the contributions included in these
proceedings cover the main physics results, ranging from steady point sources
to exotic physics and multi-messenger analyses.


title: Constraints on the $\Lambda$CDM model with redshift tomography

abstract:
  Recently released Planck data favor a lower value of the Hubble constant and
a higher value of the fraction matter density in the standard $\Lambda$CDM
model, which are discrepant with some of the low-redshift measurements. Within
the context of this cosmology, we examine the consistency of the estimated
values for the Hubble constant and fraction matter density with redshift
tomography. Using the SNe Ia, Hubble parameter, BAO and CMB data, which are
divided into three bins, we find no statistical evidence for any tension in the
three redshift bins, although there exists a 1.4$\sigma$ deviation of the
Hubble constant in the middle redshift from the one in the high redshift bin.


title: Twisted geometric Langlands correspondence for a torus

abstract:
  Let T be a split torus over local or global function field. The theory of
Brylinski-Deligne gives rise to the metaplectic central extensions of T by a
finite cyclic group. The representation theory of these metaplectic tori has
been developped to some extent in the works of M. Weissman, G. Savin, W. T.
Gan, P. McNamara and others. In this paper we propose a geometrization of this
theory in the framework of the geometric Langlands program (in the everywhere
nonramified case).


title: Extracting entanglement from identical particles

abstract:
  Identical particles and entanglement are both fundamental components of
quantum mechanics. However, when identical particles are condensed in a single
spatial mode, the standard notions of entanglement, based on clearly
identifiable subsystems, break down. This has led many to conclude that such
systems have limited value for quantum information tasks, compared to
distinguishable particle systems. To the contrary, we show that any
entanglement formally appearing amongst the identical particles, including
entanglement due purely to symmetrization, can be extracted into an entangled
state of independent modes, which can then be applied to any task. In fact, the
entanglement of the mode system is in one-to-one correspondence with the
entanglement between the inaccessible identical particles. This settles the
long-standing debate about the resource capabilities of such states, in
particular spin-squeezed states of Bose-Einstein condensates, while also
revealing a new perspective on how and when entanglement is generated in
passive optical networks. Our results thus reveal new fundamental connections
between entanglement, squeezing, and indistinguishability.


title: Plasmons in graphene on uniaxial substrates

abstract:
  Placing graphene on uniaxial substrates may have interesting application
potential for graphene-based photonic and optoelectronic devices. Here we
analytically derive the dispersion relation for graphene plasmons on uniaxial
substrates and discuss their momentum, propagation length and polarization as a
function of frequency, propagation direction and both ordinary and
extraordinary dielectric permittivities of the substrate. We find that the
plasmons exhibit an anisotropic propagation, yielding radially asymmetric field
patterns when a point emitter launches plasmons in the graphene layer.


title:
Magnetic structure map for face-centered tetragonal iron: appearance of
  a new collinear spin structure

abstract:
  For face-centered cubic (fcc) and tetragonal (fct) iron a large number of
magnetic configurations as a function of crystal structural parameters were
studied by means of density functional theory. The stability of magnetic
structures was defined by the magnetic re-orientation energy $\Delta
{E}^i_\text{reor}$ as the difference of the total energy of configuration $i$
and that of the fcc ferromagnetic state. The Cluster Expansion technique was
applied to several volumes deriving $\Delta {E}_\text{reor}$ for more than
90.000 collinear spin structures for each volume. A variety of structures with
promisingly low $\Delta {E}_\text{reor}$ were tetragonally distorted according
to a two-dimensional mesh defined by volume per atom and $c/a$ ratio of the
distortion. At each of the points on this mesh $\Delta E_\text{reor}$ of all
collinear structure were compared to results for non-collinear spin spirals
(SS) which were calculated for a grid of propagation directions. The lowest
$\Delta {E}_\text{reor}$ of all investigated spin structures then defined the
magnetic structure map spanned by volume per atom and $c/a$ ratio. Three local
minima were identified and for each of the minima SS were calculated on a fine
grid of propagation vectors. For the volume per atom of 10.6 \AA$^3$ and the
distortion range $0.94 \le c/a \le 1.01$ we found a new, surprisingly simple
collinear spin structure with four atoms per fct unit cell to be the most
stable one. This structure was called AFM/NM because it consists of two atoms
with anti-ferromagnetically ordered local moments of $\pm 1.8 \mu_\text{B}$ and
of two nonmagnetic atoms with zero local moment. It seems that the newly
detected AFM/NM structure explains a variety of puzzling experimental results.


title: Learning Factored Representations in a Deep Mixture of Experts

abstract:
  Mixtures of Experts combine the outputs of several "expert" networks, each of
which specializes in a different part of the input space. This is achieved by
training a "gating" network that maps each input to a distribution over the
experts. Such models show promise for building larger networks that are still
cheap to compute at test time, and more parallelizable at training time. In
this this work, we extend the Mixture of Experts to a stacked model, the Deep
Mixture of Experts, with multiple sets of gating and experts. This
exponentially increases the number of effective experts by associating each
input with a combination of experts at each layer, yet maintains a modest model
size. On a randomly translated version of the MNIST dataset, we find that the
Deep Mixture of Experts automatically learns to develop location-dependent
("where") experts at the first layer, and class-specific ("what") experts at
the second layer. In addition, we see that the different combinations are in
use when the model is applied to a dataset of speech monophones. These
demonstrate effective use of all expert combinations.


title:
Calculating the dimension of the universal embedding of the symplectic
  dual polar space using languages

abstract:
  The main result of this paper is the construction of a bijection of the set
of words in so-called standard order of length $n$ formed by four different
letters and the set $\mathbb{N}^n$ of all subspaces of a fixed $n$-dimensional
maximal isotropic subspace of the $2n$-dimensional symplectic space $V$ over
$\mathbb{F}_2$ which are not maximal in a certain sense. Since the number of
different words in standard order is known, this gives an alternative proof for
the formula of the dimension of the universal embedding of a symplectic dual
polar space $\mathcal G_n$. Along the way, we give formulas for the number of
all $n$- and $(n-1)$-dimensional totally isotropic subspaces of $V$.


title: Modelling the effect of myosin X motors on filopodia growth

abstract:
  We present a numerical simulation study of the dynamics of filopodial growth
in the presence of active transport by myosin X motors. We employ both a
microscopic agent-based model, which captures the stochasticity of the growth
process, and a continuum mean-field theory which neglects fluctuations. We show
that in the absence of motors, filopodia growth is overestimated by the
continuum mean-field theory. Thus fluctuations slow down the growth, especially
when the protrusions are driven by a small number (10 or less) of F-actin
fibres, and when the force opposing growth (coming from membrane elasticity) is
large enough. We also show that, with typical parameter values for eukaryotic
cells, motors are unlikely to provide an actin transport mechanism which
enhances filopodial size significantly, unless the G-actin concentration within
the filopodium greatly exceeds that of the cytosol bulk. We explain these
observations in terms of order-of-magnitude estimates of diffusion-induced and
advection-induced growth of a bundle of Brownian ratchets.


title: Sharpening independence results for Huntington's affine geometry

abstract:
  We improve upon Huntington's affine geometry by showing that his independence
proofs can be, in some cases, simplified. We carry out a systematic
investigation of the strict notion of betweenness that Huntington employs (the
three arguments are supposed to be distinct) by comparing it to McPhee's three
axiom systems for the same intended class of structures, which employs weak
betweenness (the arguments are permitted to be equal). Upon closely inspecting
the proof that McPhee's axiom systems are equivalent to Huntington's (subject
of course to the definition of weak betweenness in terms of strict and vice
versa), one finds surprisingly that McPhee's axiom systems have quite different
relations to strict betweenness.


title:
Computing Scalable Multivariate Glocal Invariants of Large (Brain-)
  Graphs

abstract:
  Graphs are quickly emerging as a leading abstraction for the representation
of data. One important application domain originates from an emerging
discipline called "connectomics". Connectomics studies the brain as a graph;
vertices correspond to neurons (or collections thereof) and edges correspond to
structural or functional connections between them. To explore the variability
of connectomes---to address both basic science questions regarding the
structure of the brain, and medical health questions about psychiatry and
neurology---one can study the topological properties of these brain-graphs. We
define multivariate glocal graph invariants: these are features of the graph
that capture various local and global topological properties of the graphs. We
show that the collection of features can collectively be computed via a
combination of daisy-chaining, sparse matrix representation and computations,
and efficient approximations. Our custom open-source Python package serves as a
back-end to a Web-service that we have created to enable researchers to upload
graphs, and download the corresponding invariants in a number of different
formats. Moreover, we built this package to support distributed processing on
multicore machines. This is therefore an enabling technology for network
science, lowering the barrier of entry by providing tools to biologists and
analysts who otherwise lack these capabilities. As a demonstration, we run our
code on 120 brain-graphs, each with approximately 16M vertices and up to 90M
edges.


title: Non-adiabatic effect on the quantum heat flux control

abstract:
  We provide a general formula of quantum transfer that includes the
non-adiabatic effect under periodic environmental modulation by using full
counting statistics in Hilbert-Schmidt space. Applying the formula to an
anharmonic junction model that interacts with two bosonic environments within
the Markovian approximation, we find that the quantum transfer is divided into
the adiabatic (dynamical and geometrical phases) and non-adiabatic
contributions. This extension shows the dependence of quantum transfer on the
initial condition of the anharmonic junction just before the modulation, as
well as the characteristic environmental parameters such as interaction
strength and cut-off frequency of spectral density. We show that the
non-adiabatic contribution represents the reminiscent effect of past modulation
including the transition from the initial condition of the anharmonic junction
to a steady state determined by the very beginning of the modulation. This
enables us to tune the frequency range of modulation, whereby we can obtain the
quantum flux corresponding to the geometrical phase by setting the initial
condition of the anharmonic junction.


title: SQUID Metamaterials: Tuneability and Multistability

abstract:
  An overview of several dynamic properties of SQUID metamaterials is given in
the presence of both constant and alternating magnetic field. The total current
as a function of the driving frequency exhibits hysteretic effects which are
favored by low levels of disorder. Multistability in the current states leads
to multiple magnetic responses with different value of magnetic permeability.
SQUID metamaterials exhibit wide-band tuneability which is periodic with the
applied constant magnetic field; the numerical calculations reproduce fairly
well recent experimental results. Current work also reveals the possibility for
wave transmission through nonlinear bands, which is briefly discussed.


title: Imitation, proximity, and growth -- A collective swarm dynamics approach

abstract:
  This paper is based on the premise that economic growth is driven by an
interplay between innovation and imitation in an economy composed of
interacting firms operating in a stochastic environment. A novel approach to
modeling imitation is presented, based on range-dependent processes that
describe how firms consider proximity when imitating peers who are found in a
given neighborhood in terms of productivity. Using a particularly tractable
approach, we are able to analyze how drastically different economic growth
scenarios emerge from different imitation strategies. These emerging scenarios
range from diffusive growth where the variance of productivity grows
indefinitely, to balanced growth described by a traveling wave with fixed
variance. The latter scenario is sustained only when imitation strength among
firms exceeds a critical bifurcation threshold.


title: Virtual Reality: A Definition History - A Personal Essay

abstract:
  This essay, written in 1998 by an active participant in both virtual reality
development and the virtual reality definition debate, discusses the definition
of the phrase "Virtual Reality" (VR). I start with history from a personal
perspective, concentrating on the debate between the "Virtual Reality" and
"Virtual Environment" labels in the late 1980's and early 1990's. Definitions
of VR based on specific technologies are shown to be unsatisfactory. I propose
the following definition of VR, based on the striking effects of a good VR
system: "Virtual Reality is the use of computer technology to create the effect
of an interactive three-dimensional world in which the objects have a sense of
spatial presence." The justification for this definition is discussed in
detail, and is favorably compared with the dictionary definitions of "virtual"
and "reality". The implications of this definition for virtual reality
technology are briefly examined.


title:
Skill of data based predictions versus dynamical models -- case study on
  extreme temperature anomalies

abstract:
  We compare probabilistic predictions of extreme temperature anomalies issued
by two different forecast schemes. One is a dynamical physical weather model,
the other a simple data model. We recall the concept of skill scores in order
to assess the performance of these two different predictors. Although the
result confirms the expectation that the (computationally expensive) weather
model outperforms the simple data model, the performance of the latter is
surprisingly good. More specifically, for some parameter range, it is even
better than the uncalibrated weather model. Since probabilistic predictions are
not easily interpreted by the end user, we convert them into deterministic
yes/no statements and measure the performance of these by ROC statistics.
Scored in this way, conclusions about model performance partly change, which
illustrates that predictive power depends on how it is quantified.


title: Probing photon decay with the Sunyaev-Zel'dovich effect

abstract:
  The fundamental properties of the photon have deep impact on the
astrophysical processes that involve it, like the inverse Compton scattering of
CMB photon by energetic electrons residing within galaxy cluster atmospheres,
usually referred to as the Sunyaev-Zel'dovich effect (SZE). We calculate the
combined constraints on the photon decay time and mass by studying the impact
of the modified CMB spectrum, as recently calculated (Heeck 2013), on the SZE
of galaxy clusters. We analyze the modifications of the SZE as produced by
photon decay effects. We study in details the frequency regimes where these
modifications are large and where the constraints derived from the SZE can be
stronger with respect to those already obtained from the CMB spectrum. We show
that the SZE can set limits on the photon decay time and mass, or on $E^* =
\frac{t_0}{\tau_\gamma}m_\gamma c^2$, that are stronger than those obtained
from the CMB: the main constraints come from the low frequency range $\nu
\approx 10-50$ GHz where the modified SZE $\Delta I_{mod}$ is larger than the
standard one $\Delta I$, with the difference $|(\Delta I_{mod} - \Delta I)|$
increasing with the frequency for increasing values of $E^*$; additional
constraints can be set in the range $120 - 180$ GHz where there is an increase
of the frequency position of the minimum of $\Delta I_{mod}$ with respect to
the standard one with increasing values of $E^*$. We demonstrated that the
effect of photon decay can be measured or constrained by the Square Kilometer
Array in the optimal range $\approx 10-30$ GHz setting limits of $E^* \leq 1.4
\times 10^{-9}$ eV and $5 \times 10^{-10}$ eV for 30 and 260 hour integration
for A2163, respectively. These limits are stronger than those obtained with the
COBE-FIRAS spectral measurements of the CMB.


title: Magnetoelectric Effects in Local Light-Matter Interactions

abstract:
  We study the generic interaction of a monochromatic electromagnetic field
with bi-isotropic nanoparticles. Such an interaction is described by
dipole-coupling terms associated with the breaking of dual, P- and
T-symmetries, including the chirality and the nonreciprocal magnetoelectric
effect. We calculate absorption rates, radiation forces, and radiation torques
for the nanoparticles and introduce novel characteristics of the field
quantifying the transfer of energy, momentum, and angular-momentum in these
interactions. In particular, we put forward the concept of 'magnetoelectric
energy density', quantifying the local PT-symmetry of the field. Akin to the
'super-chiral' light suggested recently for sensitive local probing of
molecular chirality [Phys. Rev. Lett. 104, 163901 (2010); Science 332, 333
(2011)], here we describe a complex field for sensitive probing of the
nonreciprocal magnetoelectric effect in nanoparticles or molecules.


title: Maximal finite abelian subgroups of E8

abstract:
  The maximal finite abelian subgroups, up to conjugation, of the simple
algebraic group of type E8 over an algebraically closed field of characteristic
0 are computed. This is equivalent to the determination of the fine gradings on
the simple Lie algebra of type E8 with trivial neutral homogeneous component.


title: On fibrant objects in model categories

abstract:
  In this paper, we study properties of maps between fibrant objects in model
categories. We give a characterization of weak equivalences between fibrant
object. If every object of a model category is fibrant, then we give a simple
description of a set of generating cofibrations. We show that to construct such
model structure it is enough to check some relatively simple conditions.


title: Probabilistic Programming Concepts

abstract:
  A multitude of different probabilistic programming languages exists today,
all extending a traditional programming language with primitives to support
modeling of complex, structured probability distributions. Each of these
languages employs its own probabilistic primitives, and comes with a particular
syntax, semantics and inference procedure. This makes it hard to understand the
underlying programming concepts and appreciate the differences between the
different languages. To obtain a better understanding of probabilistic
programming, we identify a number of core programming concepts underlying the
primitives used by various probabilistic languages, discuss the execution
mechanisms that they require and use these to position state-of-the-art
probabilistic languages and their implementation. While doing so, we focus on
probabilistic extensions of logic programming languages such as Prolog, which
have been developed since more than 20 years.


title:
The Ginger-shaped Asteroid 4179 Toutatis: New Observations from a
  Successful Flyby of Chang'e-2

abstract:
  On 13 December 2012, Chang'e-2 conducted a successful flyby of the near-Earth
asteroid 4179 Toutatis at a closest distance of 770 $\pm$ 120 meters from the
asteroid's surface. The highest-resolution image, with a resolution of better
than 3 meters, reveals new discoveries on the asteroid, e.g., a giant basin at
the big end, a sharply perpendicular silhouette near the neck region, and
direct evidence of boulders and regolith, which suggests that Toutatis may bear
a rubble-pile structure. Toutatis' maximum physical length and width are (4.75
$\times$ 1.95 km) $\pm$10$\%$, respectively, and the direction of the +$z$ axis
is estimated to be (250$\pm$5$^\circ$, 63$\pm$5$^\circ$) with respect to the
J2000 ecliptic coordinate system. The bifurcated configuration is indicative of
a contact binary origin for Toutatis, which is composed of two lobes (head and
body). Chang'e-2 observations have significantly improved our understanding of
the characteristics, formation, and evolution of asteroids in general.


title: A Nonabelian $(1,0)$ Tensor Multiplet Theory in 6D

abstract:
  We construct a general nonabelian (1,0) tensor multiplet theory in six
dimensions. The gauge field of this (1,0) theory is non-dynamical, and the
theory contains a continuous parameter $b$. When $b=1/2$, the (1,0) theory
possesses an extra discrete symmetry enhancing the supersymmetry to (2,0), and
the theory turns out to be identical to the (2,0) theory of Lambert and
Papageorgakis (LP). Upon dimension reduction, we obtain a general ${\cal N}=1$
supersymmetric Yang-Mills theory in five dimensions. The applications of the
theories to D4 and M5-branes are briefly discussed.


title:
On the feasibility of RADAR detection of high-energy neutrino-induced
  showers in ice

abstract:
  In this article we try to answer the question whether the radar detection
technique can be used for the detection of high-energy-neutrino induced
particle cascades in ice. A high-energy neutrino interacting in ice will induce
a particle cascade, also referred to as a particle shower, moving at
approximately the speed of light. Passing through, the cascade will ionize the
medium, leaving behind a plasma tube. The different properties of the
plasma-tube, such as its lifetime, size and the charge-density will be used to
obtain an estimate if it is possible to detect this tube by means of the radar
detection technique. Next to the ionization electrons a second plasma due to
mobile protons induced by the particle cascade is discussed. An energy
threshold for the cascade inducing particle of 4 PeV for the electron plasma,
and 20 PeV for the proton plasma is obtained. This allows the radar detection
technique, if successful, to cover the energy-gap between several PeV and a few
EeV in the currently operating neutrino detectors, where on the low side
IceCube runs out of events, and on the high side the Askaryan radio detectors
begin to have large effective volumes.


title: Parametrized Post-Newtonian Limit of Teleparallel Dark Energy Model

abstract:
  We study the post-Newtonian limit in the teleparallel equivalent of General
Relativity with a scalar field which non-minimally couples to gravity. The
metric perturbation is obtained from the vierbein field expansion with respect
to the Minkowski background. Due to the structure of the teleparallel gravity
Lagrangian, the potential of the scalar field shows no effect to the
parametrized post-Newtonian parameters, and compatible results with Solar
System observations are found.


title:
GLC actors, artificial chemical connectomes, topological issues and
  knots

abstract:
  Based on graphic lambda calculus, we propose a program for a new model of
asynchronous distributed computing, inspired from Hewitt Actor Model, as well
as several investigation paths, concerning how one may graft lambda calculus
and knot diagrammatics.


title: Young stellar object jet models: From theory to synthetic observations

abstract:
  Astronomical observations, analytical solutions and numerical simulations
have provided the building blocks to formulate the current theory of young
stellar object jets. Although each approach has made great progress
independently, it is only during the last decade that significant efforts are
being made to bring the separate pieces together. Building on previous work
that combined analytical solutions and numerical simulations, we apply a
sophisticated cooling function to incorporate optically thin energy losses in
the dynamics. On the one hand, this allows a self-consistent treatment of the
jet evolution and on the other, it provides the necessary data to generate
synthetic emission maps. Firstly, analytical disk and stellar outflow solutions
are properly combined to initialize numerical two-component jet models inside
the computational box. Secondly, magneto-hydrodynamical simulations are
performed in 2.5D, following properly the ionization and recombination of a
maximum of $29$ ions. Finally, the outputs are post-processed to produce
artificial observational data. The first two-component jet simulations, based
on analytical models, that include ionization and optically thin radiation
losses demonstrate promising results for modeling specific young stellar object
outflows. The generation of synthetic emission maps provides the link to
observations, as well as the necessary feedback for the further improvement of
the available models.


title: The Optimal Dyadic Derivative

abstract:
  We show that the best approximation to the difference operators on the cyclic
groups of order $2^n$ by a dyadic convolution operator are the restrictions of
a generalized dyadic derivative. This answers a question on the "intuitive"
interpretation of the dyadic derivative posed by Butzer and Wagner more than 30
years ago.


title: A minimal representation of the self-assembly of virus capsids

abstract:
  Viruses are biological nanosystems with a capsid of protein-made capsomer
units that encloses and protects the genetic material responsible for their
replication. Here we show how the geometrical constraints of the
capsomer-capsomer interaction in icosahedral capsids fix the form of the
shortest and universal truncated multipolar expansion of the two-body
interaction between capsomers. The structures of many of the icosahedral and
related virus capsids are located as single lowest energy states of this
potential energy surface. Our approach unveils relevant features of the natural
design of the capsids and can be of interest in fields of nanoscience and
nanotechnology where similar hollow convex structures are relevant.


title: The Weyl symbol of Schr\"odinger semigroups

abstract:
  In this paper, we study the Weyl symbol of the Schr\"odinger semigroup
$e^{-tH}$, $H=-\Delta+V$, $t>0$, on $L^2(\mathbb{R}^n)$, with nonnegative
potentials $V$ in $L^1_{\rm loc}$. Some general estimates like the $L^{\infty}$
norm concerning the symbol $u$ are derived. In the case of large dimension,
typically for nearest neighbor or mean field interaction potentials, we prove
estimates with parameters independent of the dimension for the derivatives
$\partial_x^\alpha\partial_\xi^\beta u$. In particular, this implies that the
symbol of the Schr\"odinger semigroups belongs to the class of symbols
introduced in [1] in a high-dimensional setting. In addition, a commutator
estimate concerning the semigroup is proved.


title: Monotone path-connectedness and solarity of Menger-connected sets

abstract:
  A boundedly compact (boundedly weakly compact) m-connected (Menger-connected)
set is shown to be monotone path-\allowbreak connected and is a sun in a broad
class of Banach spaces (in particular, in separable spaces). Further, the
intersection of a boundedly compact monotone path-\allowbreak connected
(m-connected) set with a closed ball is established to be cell-like (trivial
shape) and, in particular, acyclic (contractible, in the finite-dimensional
case) and a sun. Further, a boundedly weakly compact m-connected set is
asserted to be monotone path-\allowbreak connected. In passing,
Rainwater--\allowbreak Simons's theorem on weak convergence of sequences is
extended to the convergence with respect to the associated norm (in the sense
of Brown).


title:
Observed Quark Mixing Structure (CKM-Matrix) -- Perception of Mirror
  Generations

abstract:
  Parity nonconservation led Lee and Yang (1956) to the hypothesis of
additional fermions with properties that mirror those of usual particles. It is
shown here that the well-known observed qualitative structure of the quark
mixing matrix (CKM matrix) is precisely reproduced when usual quark mass
hierarchies result from mass hierarchies of heavy mirror generations. The last
ones are of the Lee--Yang type only. The usual quark spectrum is formed
likewise the see--saw spectrum of the neutrino physics. The lightest mirror
quark is closely related with the t quark and might be available even in a
region below 1 TeV.


title: Semistable Symmetric Spectra in $A1$-homotopy theory

abstract:
  We study semistable symmetric spectra based on quite general monoidal model
categories, including motivic examples. In particular, we establish a
generalization of Schwede's list of equivalent characterizations of
semistability in the case of motivic symmetric spectra. We also show that the
motivic Eilenberg-MacLane spectrum and the algebraic cobordism spectrum are
semistable. Finally, we show that semistability is preserved under localization
if some reasonable conditions - which often hold in practice - are satisfied.


title: The Schwinger pair production rate in confining theories via holography

abstract:
  We study the Schwinger pair production in confining theories. The production
rate in an external electric field E is numerically evaluated by using the
holographic description. There exist two kinds of critical values of the
electric field, i) E=E_c, above which there is no potential barrier and
particles are freely generated, ii) E=E_s, below which the confining string
tension dominates the electric field and the pair production does not occur. We
argue the universal exponents associated with the critical behaviors.


title: Topologically Protected Magnetic Helix for All-Spin-Based Applications

abstract:
  The recent years have witnessed an emergence of the field of all-spin-based
devices without any flow of charge. An ultimate goal of this scientific
direction is the realization of full spectrum of spin-based networks like in
modern electronics. The concepts of energy storing elements, indispensable for
those networks, are so far lacking. Analyzing analytically the size dependent
properties of magnetic chains that are coupled via either exchange or
long-range dipolar or Ruderman-Kittel-Kasuya-Yosida interactions, we discover a
particularly simple law: magnetic configurations corresponding to helices with
integer number of twists, that are commensurate with the chain's length, are
energetically stable. This finding, supported by simulations and an
experimentally benchmarked model, agrees with the study [J. Appl. Phys.
\textbf{111}, 07E116 (2012)] showing that boundaries can topologically
stabilize structures that are not stable otherwise. On that basis an energy
storing element is proposed.


title: Strange and heavy mesons in hadronic matter

abstract:
  We present selected results on the properties of strange and heavy-flavoured
mesons in a hot and dense nuclear medium, with emphasis in selfconsistent
coupled-channel approaches based on the chiral Lagrangian. In the strangeness
sector, we discuss how the enhanced reactivity of light strange vectors at FAIR
conditions can be tied to in-medium effects on their predominant decay modes
(e.g. $\bar K^*\to\bar K \pi$) and to the excitation of strange baryons in
vector-meson nucleon interactions. In the heavy-flavour sector, we focus on
recent determinations of the transport coefficients of charmed and bottomed
mesons in a hadron gas at vanishing baryonic chemical potential. We comment on
the role of microscopic transport simulations to establish a connection between
theoretical models and experimental observables from heavy-ion collisions.


title: Error bounds of MCMC for functions with unbounded stationary variance

abstract:
  We prove explicit error bounds for Markov chain Monte Carlo (MCMC) methods to
compute expectations of functions with unbounded stationary variance. We assume
that there is a $p\in(1,2)$ so that the functions have finite $L_p$-norm. For
uniformly ergodic Markov chains we obtain error bounds with the optimal order
of convergence $n^{1/p-1}$ and if there exists a spectral gap we almost get the
optimal order. Further, a burn-in period is taken into account and a recipe for
choosing the burn-in is provided.


title:
An improved Branch-and-cut code for the maximum balanced subgraph of a
  signed graph

abstract:
  The Maximum Balanced Subgraph Problem (MBSP) is the problem of finding a
subgraph of a signed graph that is balanced and maximizes the cardinality of
its vertex set. We are interested in the exact solution of the problem: an
improved version of a branch-and-cut algorithm is proposed. Extensive
computational experiments are carried out on a set of instances from three
applications previously discussed in the literature as well as on a set of
random instances.


title:
Teleoperation System Using Past Image Records Considering Narrow
  Communication Band

abstract:
  Teleoperation is necessary when the robot is applied to real missions, for
example surveillance, search and rescue. We proposed teleoperation system using
past image records (SPIR). SPIR virtually generates the bird's-eye view image
by overlaying the CG model of the robot at the corresponding current position
on the background image which is captured from the camera mounted on the robot
at a past time. The problem for SPIR is that the communication bandwidth is
often narrow in some teleoperation tasks. In this case, the candidates of
background image of SPIR are few and the position of the robot is often
delayed. In this study, we propose zoom function for insufficiency of
candidates of the background image and additional interpolation lines for the
delay of the position data of the robot. To evaluate proposed system, an
outdoor experiments are carried out. The outdoor experiment is conducted on a
training course of a driving school.


title: Black hole hair in Lovelock gravity

abstract:
  We present a method to analyse black hole hair in the spherical symmetric
sector of the Lovelock theory in arbitrary dimensions that is an alternative to
solving the equations of motion in their complete form. We explicitly show that
the method matches with the known black hole solutions for the vacuum and
electro-vacuum spacetimes in Lovelock gravity theories. We further apply the
method to the case of minimally coupled non-self-interacting massless scalar
field and prove that there is no (non-self-interacting) massless scalar hair
for the spherically symmetric Lovelock black holes.


title: On the uniqueness theorem of Holmgren

abstract:
  We rereview the classical Cauchy-Kovalevskaya theorem and the related
uniqueness theorem of Holmgren, in the simple setting of powers of the
Laplacian and a smooth curve segment in the plane. As a local problem, the
Cauchy-Kovalevskaya and Holmgren theorems supply a complete answer to the
existence and uniqueness issues. Here, we consider a global uniqueness problem
of Holmgren's type. Perhaps surprisingly, we obtain a connection with the
theory of quadrature identities, which demonstrates that rather subtle
algebraic properties of the curve come into play. For instance, if $\Omega$ is
the interior domain of an ellipse, and $I$ is a proper arc of the ellipse
$\partial\Omega$, then there exists a nontrivial biharmonic function $u$ in
$\Omega$ which vanishes to degree three on $I$ (i.e., all partial derivatives
of $u$ of order $\le2$ vanish on $I$) if and only if the ellipse is a circle.
Finally, we consider a three-dimensional case, and analyze it partially using
analogues of the square of the 2X2 Cauchy-Riemann operator.


title:
Empirical risk minimization is optimal for the convex aggregation
  problem

abstract:
  Let $F$ be a finite model of cardinality $M$ and denote by $\operatorname
{conv}(F)$ its convex hull. The problem of convex aggregation is to construct a
procedure having a risk as close as possible to the minimal risk over
$\operatorname {conv}(F)$. Consider the bounded regression model with respect
to the squared risk denoted by $R(\cdot)$. If
${\widehat{f}}_n^{\mathit{ERM-C}}$ denotes the empirical risk minimization
procedure over $\operatorname {conv}(F)$, then we prove that for any $x>0$,
with probability greater than $1-4\exp(-x)$,
\[R({\widehat{f}}_n^{\mathit{ERM-C}})\leq\min_{f\in \operatorname
{conv}(F)}R(f)+c_0\max \biggl(\psi_n^{(C)}(M),\frac{x}{n}\biggr),\] where
$c_0>0$ is an absolute constant and $\psi_n^{(C)}(M)$ is the optimal rate of
convex aggregation defined in (In Computational Learning Theory and Kernel
Machines (COLT-2003) (2003) 303-313 Springer) by $\psi_n^{(C)}(M)=M/n$ when
$M\leq \sqrt{n}$ and $\psi_n^{(C)}(M)=\sqrt{\log (\mathrm{e}M/\sqrt{n})/n}$
when $M>\sqrt{n}$.


title: Extensions of rich words

abstract:
  In [X. Droubay et al, Episturmian words and some constructions of de Luca and
Rauzy, Theoret. Comput. Sci. 255 (2001)], it was proved that every word w has
at most |w|+1 many distinct palindromic factors, including the empty word. The
unified study of words which achieve this limit was initiated in [A. Glen et
al, Palindromic richness, Eur. Jour. of Comb. 30 (2009)]. They called these
words rich (in palindromes).
  This article contains several results about rich words and especially
extending them. We say that a rich word w can be extended richly with a word u
if wu is rich. Some notions are also made about the infinite defect of a word,
the number of rich words of length n and two-dimensional rich words.


title: Superconducting phase transition of Sr2RuO4 in magnetic field

abstract:
  The superconducting state formed due to direct intra-orbital pairing in
tetragonal multi-band superconductor Sr$_2$RuO$_4$ has different properties
than the state formed due to intra-band pairing. In particular, the theory
operating with direct intra-orbital pairing successfully explains the Kerr
rotation of reflected light polarization observed several years ago. Here we
apply intra-orbital approach to the problem of Ginzburg-Landau description of
basal plane upper critical field in this material. It is shown that typical for
two component superconducting state additional phase transition in the vortex
state at $H<H_{c2}$ for all four crystallographic directions of magnetic field
in the basal plane and the basal plane upper critical field anisotropy still
are inevitable properties even in case of direct intra-orbital pairing.


title:
The Catalan case of Armstrong's conjecture on simultaneous core
  partitions

abstract:
  A beautiful recent conjecture of D. Armstrong predicts the average size of a
partition that is simultaneously an $s$-core and a $t$-core, where $s$ and $t$
are coprime. Our goal is to prove this conjecture when $t=s+1$. These
simultaneous $(s,s+1)$-core partitions, which are enumerated by Catalan
numbers, have average size $\binom{s+1}{3}/2$.


title:
Abstraction in decision-makers with limited information processing
  capabilities

abstract:
  A distinctive property of human and animal intelligence is the ability to
form abstractions by neglecting irrelevant information which allows to separate
structure from noise. From an information theoretic point of view abstractions
are desirable because they allow for very efficient information processing. In
artificial systems abstractions are often implemented through computationally
costly formations of groups or clusters. In this work we establish the relation
between the free-energy framework for decision making and rate-distortion
theory and demonstrate how the application of rate-distortion for
decision-making leads to the emergence of abstractions. We argue that
abstractions are induced due to a limit in information processing capacity.


title: Decomposition of Optical Flow on the Sphere

abstract:
  We propose a number of variational regularisation methods for the estimation
and decomposition of motion fields on the $2$-sphere. While motion estimation
is based on the optical flow equation, the presented decomposition models are
motivated by recent trends in image analysis. In particular we treat $u+v$
decomposition as well as hierarchical decomposition. Helmholtz decomposition of
motion fields is obtained as a natural by-product of the chosen numerical
method based on vector spherical harmonics. All models are tested on time-lapse
microscopy data depicting fluorescently labelled endodermal cells of a
zebrafish embryo.


title:
A mid-infrared exploration of the dusty environments of active galactic
  nuclei

abstract:
  We present the first results from a mid-infrared survey of local Active
Galactic Nuclei (AGN) using the CanariCam (CC) instrument on the 10.4m Gran
Telescopio Canarias (GTC). We are obtaining sub-arcsecond angular resolution
(0.3-0.6 arcsec) mid-IR imaging and spectroscopic observations of a sample of
100 local AGN, which are complemented with data taken with T-ReCS, VISIR, and
Michelle. The full sample contains approximately 140 AGN, covers nearly six
orders of magnitude in AGN luminosity, and includes low-luminosity AGN (LLAGN),
Seyfert 1s and 2s, QSO, radio galaxies, and (U)LIRGs. The main goals of this
project are: (1) to test whether the properties of the dusty tori of the AGN
Unified Model depend on the AGN type, (2) to study the nuclear star formation
activity and obscuration of local AGN, and (3) to explore the role of the dusty
torus in LLAGN.


title:
Topology Optimization of Electric Machines based on Topological
  Sensitivity Analysis

abstract:
  Topological sensitivities are a very useful tool for determining optimal
designs. The topological derivative of a domain-dependent functional represents
the sensitivity with respect to the insertion of an infinitesimally small hole.
In the gradient-based ON/OFF method, proposed by M. Ohtake, Y. Okamoto and N.
Takahashi in 2005, sensitivities of the functional with respect to a local
variation of the material coefficient are considered. We show that, in the case
of a linear state equation, these two kinds of sensitivities coincide. For the
sensitivities computed in the ON/OFF method, the generalization to the case of
a nonlinear state equation is straightforward, whereas the computation of
topological derivatives in the nonlinear case is ongoing work. We will show
numerical results obtained by applying the ON/OFF method in the nonlinear case
to the optimization of an electric motor.


title: On the cosmic convergence mechanism of the massless dilaton

abstract:
  The converging mechanism discussed in [Damour & Nordtvedt, Physical Review
Letters,70,15] for scalar-tensor theories has been applied to dilaton-like
theories in several subsequent papers. In the present communication, we show
that an unfortunate assumption in those studies led to a scalar-field equation
unsuitable for the study of the dilaton field. The corrected scalar-field
equation turns to change the numerical outcome of those studies in general, but
even sometimes their qualitative aftermath. Therefore, the present result call
for new investigations of the subject. On the other hand, our result shows that
the string-inspired theory presented in [Minazzoli & Hees, Physical Review
D,88,4] is naturally solution to the problem of the effective constancy of the
fundamental coupling constants at late cosmic times, while it requires less
fine-tuning than other massless dilaton or usual stalar-tensor theories.


title:
On the degree of the polynomial defining a planar algebraic curves of
  constant width

abstract:
  In this paper, we consider a family of closed planar algebraic curves
$\mathcal{C}$ which are given in parametrization form via a trigonometric
polynomial $p$. When $\mathcal{C}$ is the boundary of a compact convex set, the
polynomial $p$ represents the support function of this set. Our aim is to
examine properties of the degree of the defining polynomial of this family of
curves in terms of the degree of $p$. Thanks to the theory of elimination, we
compute the total degree and the partial degrees of this polynomial, and we
solve in addition a question raised by Rabinowitz in \cite{Rabi} on the lowest
degree polynomial whose graph is a non-circular curve of constant width.
Computations of partial degrees of the defining polynomial of algebraic
surfaces of constant width are also provided in the same way.


title:
Legendre transform structure and extremal properties of the relative
  Fisher information

abstract:
  Variational extremization of the relative Fisher information (RFI, hereafter)
is performed. Reciprocity relations, akin to those of thermodynamics are
derived, employing the extremal results of the RFI expressed in terms of
probability amplitudes. A time independent Schr\"{o}dinger-like equation
(Schr\"{o}dinger-like link) for the RFI is derived. The concomitant Legendre
transform structure (LTS, hereafter) is developed by utilizing a generalized
RFI-Euler theorem, which shows that the entire mathematical structure of
thermodynamics translates into the RFI framework, both for equilibrium and
non-equilibrium cases. The qualitatively distinct nature of the present results
\textit{vis-\'{a}-vis} those of prior studies utilizing the Shannon entropy
and/or the Fisher information measure (FIM, hereafter) is discussed. A
principled relationship between the RFI and the FIM frameworks is derived. The
utility of this relationship is demonstrated by an example wherein the energy
eigenvalues of the Schr\"{o}dinger-like link for the RFI is inferred solely
using the quantum mechanical virial theorem and the LTS of the RFI.

categories: cond-mat.stat-mech cs.IT math-ph math.IT math.MP


title:
Topological Mid-gap States of Topological Insulators with
  Flux-Superlattice

abstract:
  In this paper based on the Haldane model, we study the topological insulator
with superlattice of pi-fluxes. We find that there exist the mid-gap states
induced by the flux-superlattice. In particular, the mid-gap states have
nontrivial topological properties, including the nonzero Chern number and the
gapless edge states. We derive an effective tight-binding model to describe the
topological midgap states and then study the mid-gap states by the effective
tight-binding model. The results can be straightforwardly generalized to other
two dimensional topological insulators with flux-superlattice.


title:
A posteriori error estimates for time-dependent reaction-diffusion
  problems based on the Payne-Weinberger inequality

abstract:
  We consider evolutionary reaction-diffusion problem with mixed
Dirichlet--Robin boundary conditions. For this class of problems, we derive
two-sided estimates of the distance between any function in the admissible
energy space and exact solution of the problem. The estimates (majorants and
minorants) are explicitly computable and do not contain unknown functions or
constants. Moreover, it is proved that the estimates are equivalent to the
energy norm of the deviation from the exact solution.


title:
Hot Spin Polarized Strange Quark Stars in the Presence of Magnetic Field
  using a density dependent bag constant

abstract:
  The effect of magnetic field on the structure properties of hot spin
polarized strange quark stars has been investigated. For this purpose, we use
the MIT bag model with a density dependent bag constant to calculate the
thermodynamic properties of spin polarized strange quark matter such as energy
and equation of state. We see that the energy and equation of state of strange
quark matter changes significantly in a strong magnetic field. Finally, using
our equation of state, we compute the structure of spin polarized strange quark
star at different temperatures and magnetic fields.


title:
On the Security of Wang's Provably Secure Identity-based Key Agreement
  Protocol

abstract:
  In a 2005 IACR report, Wang published an efficient identity-based key
agreement protocol (IDAK) suitable for resource constrained devices.
  The author shows that the IDAK key agreement protocol is secure in the
Bellare-Rogaway model with random oracles and also provides separate ad-hoc
security proofs claiming that the IDAK protocol is not vulnerable to Key
Compromise Impersonation attacks and also enjoys Perfect Forward Secrecy (PFS).
  In this report, we review the security properties of the protocol and point
out that it is vulnerable to Unknown Key Share attacks. Although such attacks
are often difficult to setup in a real world environment they are nevertheless
interesting from a theoretical point of view so we provide a version of the
protocol that fixes the problem in a standard way. We also provide a security
proof of the IDAK protocol based on the Gap Bilinear Diffie Hellman and random
oracle assumptions in the stronger extended Canetti-Krawczyk security model of
distributed computing.


title: Extended OVI haloes of starforming galaxies

abstract:
  We consider evolution of metal-enriched gas exposed to a superposition of
time-dependent radiation field of a nearby starburst galaxy and nearly
invariant (on timescales 100 Myr) extragalactic ionization background. Within
nonequilibrium (time-dependent) photoionization models we determine ionization
fraction of the OVI ion commonly observed in galactic circumference. We derive
then conditions for OVI to appear in absorptions in extended galactic haloes
depending on the galactic mass and star formation rate. We have found that the
maximum OVI fraction can reach $\sim 0.4-0.9$ under combined action of the
galactic and the extragalactic ionizing radiation fields. We conclude that soft
X-ray emission with $E\simgt 113$~eV from the stellar population of central
starforming galaxies is the main source of such a high fraction of OVI. This
circumstance can explain high column densities ${\rm N(OVI)} \sim 10^{14.5 -
15.3}$~cm$^{-2}$ observed in the haloes of starforming galaxies at low
redshifts (Tumlinson etal 2011) {\it even} for a relatively low ({ $\sim
0.01-0.1\zsun$}) metallicity. As a result, the requirements to the sources of
oxygen in the extended haloes relax to a reasonably conservative level. We show
that at $z\simlt 0.5$ ionization kinetics of oxygen in a relatively dense
plasma $n\simgt 10^{-4}$ cm$^{-3}$ of outer halo exposed to a low extragalactic
ionizing flux is dominated by nonequilibrium effects.


title: Manipulating Transverse Modes of Photons for Quantum Cryptography

abstract:
  Several schemes have been proposed to extend Quantum Key Distribution
protocols aiming at improving their security or at providing new physical
substrates for qubit implementation. We present a toolbox to jointly create,
manipulate and measure qubits stored in polarization and transverse-modes
degrees of freedom of single photons. The toolbox includes local operations on
single qubits, controlled operations between the two qubits and projective
measurements over a wide variety of non-local bases in the four dimensional
space of states. We describe how to implement the toolbox to perform an
extended version of the BB84 protocol for this Hilbert space (ideally
transmitting two key bits per photon). We present the experimental
implementation of the measurement scheme both in the regimes of intense light
beams and with single photons. Thus, we show the feasibility of implementing
the protocol providing an interesting example of a new method for quantum
information processing using the polarization and transverse modes of light as
qubits.


title: Dominance properties of constrained Bayes and empirical Bayes estimators

abstract:
  This paper studies decision theoretic properties of benchmarked estimators
which are of some importance in small area estimation problems. Benchmarking is
intended to improve certain aggregate properties (such as study-wide averages)
when model based estimates have been applied to individual small areas. We
study decision-theoretic properties of such estimators by reducing the problem
to one of studying these problems in a related derived problem. For certain
such problems, we show that unconstrained solutions in the original
(unbenchmarked) problem give unconstrained Bayes and improved estimators which
automatically satisfy the benchmark constraint. Also, dominance properties of
constrained empirical Bayes estimators are shown in the Fay-Herriot model, a
frequently used model in small area estimation.


title:
Non-smooth Chemical Freeze-out and Apparent Width of Wide Resonances and
  Quark Gluon Bags in a Thermal Environment

abstract:
  Here we develop the hadron resonance gas model with the Gaussian width of
hadron resonances. This model allows us to treat the usual hadrons and the
quark gluon bags on the same footing and to study the stability of the results
obtained within different formulations of the hadron resonance gas model. In
this work we perform a successful fit of 111 independent hadronic multiplicity
ratios measured for $\sqrt{s_{NN}} $= 2.7- 200 GeV. We demonstrate that in a
narrow range of collision energy $\sqrt{s_{NN}} =$ 4.3-4.9 GeV there exist
peculiar irregularities in various thermodynamic quantities found at chemical
freeze-out. The most remarkable irregularity is an unprecedented jump of the
number of effective degrees of freedom observed in this narrow energy range
which is seen in all realistic versions of the hadron resonance gas model.
Therefore, the developed concept is called the non-smooth chemical freeze-out.
We are arguing that these irregularities evidence for the possible formation of
quark gluon bags. In order to develop other possible signals of their formation
here we study the apparent width of wide hadronic resonances and quark gluon
bags in a thermal environment. Two new effects generated for the wide
resonances and quark gluon bags by a thermal medium are discussed here: the
near threshold thermal resonance enhancement and the near threshold thermal
resonance sharpening. On the basis of the new effects we argue that the most
optimistic chance to find experimentally the quark gluon bags may be related to
their sharpening and enhancement in a thermal medium. In this case the wide
quark gluon bags may appear directly or in decays as narrow resonances that are
absent in the tables of elementary particles and that have the apparent width
about 50-120 MeV and the mass about or above 2.5 GeV.


title:
Prospective constraints on Lorentz violation from ultrahigh-energy
  photon detection

abstract:
  We point out that violation of Lorentz invariance affects the interaction of
high-energy photons with the Earth's atmosphere and magnetic field. In certain
parameter region this interaction becomes suppressed and the photons escape
observation passing through the atmosphere without producing air showers. We
argue that a detection of photon-induced air showers with energies above 10^19
eV, implying the absence of suppression as well as the absence of photon decay,
will put tight double-sided limits on Lorentz violation in the sector of
quantum electrodynamics. These constraints will be by several orders of
magnitude stronger than the existing ones and will be robust against any
assumptions about the astrophysical origin of the detected photons.


title: Rotational microrheology of Maxwell fluids using micron-sized wires

abstract:
  We demonstrate a simple method for rotational microrheology in complex
fluids, using micrometric wires. The three-dimensional rotational Brownian
motion of the wires suspended in Maxwell fluids is measured from their
projection on the focal plane of a microscope. We analyze the mean-squared
angular displacement of the wires of length between 1 and 40 microns. The
viscoelastic properties of the suspending fluids are extracted from this
analysis and found to be in good agreement with macrorheology data. Viscosities
of simple and complex fluids between 0.01 and 30 Pa.s could be measured. As for
the elastic modulus, values up to ~ 5 Pa could be determined. This simple
technique, allowing for a broad range of probed length scales, opens new
perspectives in microrheology of heterogeneous materials such as gels, glasses
and cells.

categories: cond-mat.soft cond-mat.mes-hall cond-mat.mtrl-sci cond-mat.stat-mech


title:
Sampling-based Learning Control for Quantum Systems with Hamiltonian
  Uncertainties

abstract:
  Robust control design for quantum systems has been recognized as a key task
in the development of practical quantum technology. In this paper, we present a
systematic numerical methodology of sampling-based learning control (SLC) for
control design of quantum systems with Hamiltonian uncertainties. The SLC
method includes two steps of "training" and "testing and evaluation". In the
training step, an augmented system is constructed by sampling uncertainties
according to possible distributions of uncertainty parameters. A gradient flow
based learning and optimization algorithm is adopted to find the control for
the augmented system. In the process of testing and evaluation, a number of
samples obtained through sampling the uncertainties are tested to evaluate the
control performance. Numerical results demonstrate the success of the SLC
approach. The SLC method has potential applications for robust control design
of quantum systems.


title: Diamond Integrated Optomechanical Circuits

abstract:
  Diamond offers unique material advantages for the realization of micro- and
nanomechanical resonators due to its high Young's modulus, compatibility with
harsh environments and superior thermal properties. At the same time, the wide
electronic bandgap of 5.45eV makes diamond a suitable material for integrated
optics because of broadband transparency and the absence of free-carrier
absorption commonly encountered in silicon photonics. Here we take advantage of
both to engineer full-scale optomechanical circuits in diamond thin films. We
show that polycrystalline diamond films fabricated by chemical vapour
deposition provide a convenient waferscale substrate for the realization of
high quality nanophotonic devices. Using free-standing nanomechanical
resonators embedded in on-chip Mach-Zehnder interferometers, we demonstrate
efficient optomechanical transduction via gradient optical forces. Fabricated
diamond resonators reproducibly show high mechanical quality factors up to
11,200. Our low cost, wideband, carrier-free photonic circuits hold promise for
all-optical sensing and optomechanical signal processing at ultra-high
frequencies.


title: $p$-adic quantum hyperenveloping algebra for $\mathfrak{sl}_{2}$

abstract:
  We construct an example of quantum hyperenveloping algebra over discretely
valued field for the Lie algebra $\mathfrak{sl}_{2}$.


title:
Revealing the influence of dark matter on the nature of motion and the
  families of orbits in axisymmetric galaxy models

abstract:
  An axially symmetric galactic gravitational model composed of a dense,
massive and spherical nucleus with an additional dark matter halo component was
used, to distinguish between the regular and chaotic character of orbits of
stars that move in the meridional plane (R,z). We investigated two different
cases: (i) a flat-disk galaxy (ii) an elliptical galaxy. It is of particular
interest to reveal how the portion of the dark matter inside the main body of
the galaxy influences the ordered or chaotic nature of motion. Varying the
ratio of dark matter to stellar mass, we monitored the evolution not only of
the percentage of chaotic orbits, but also of the percentages of orbits that
compose the main regular resonant families, by classifying regular orbits into
different families. Moreover we tried, to reveal how the starting position of
the parent periodic orbits of each regular family changes with respect to the
fractional portion of dark matter. We compared our results with previous
similar work.


title:
Photo-induced persistent inversion of germanium in a 200-nm-deep surface
  region

abstract:
  The controlled manipulation of the charge carrier concentration in nanometer
thin layers is the basis of current semiconductor technology and of fundamental
importance for device applications. Here we show that it is possible to induce
a persistent inversion from n- to p-type in a 200-nm-thick surface layer of a
germanium wafer by illumination with white and blue light. We induce the
inversion with a half-life of ~12 hours at a temperature of 220 K which
disappears above 280 K. The photo-induced inversion is absent for a sample with
a 20-nm-thick gold capping layer providing a Schottky barrier at the interface.
This indicates that charge accumulation at the surface is essential to explain
the observed inversion. The contactless change of carrier concentration is
potentially interesting for device applications in opto-electronics where the
gate electrode and gate oxide could be replaced by the semiconductor surface.


title:
Meson screening masses at finite temperature with Highly Improved
  Staggered Quarks

abstract:
  We report on the first study of the screening properties of the mesonic
excitations with strange ($s$) and charm ($c$) quarks, specifically the ground
states of the pseudo-scalar and vector meson excitations for the $\bar{s}s$,
$\bar{s}c$ and $\bar{c}c$ flavor combinations, using the Highly Improved
Staggered Quark action with dynamical physical strange quark and
nearly-physical up and down quarks. By comparing with their respective vacuum
meson masses and by investigating the influence of the changing temporal
boundary conditions of the valence quarks we study the thermal modifications of
these mesonic excitations. While the $\bar{s}s$ states show significant
modifications even below the chiral crossover temperature $T_c$, the
modifications of the open-charm and charmonium like states become visible only
for temperatures $T\gtrsim T_c$ and $T\gtrsim1.2T_c$, respectively.


title:
Zero distribution of complex orthogonal polynomials with respect to
  exponential weights

abstract:
  We study the limiting zero distribution of orthogonal polynomials with
respect to some particular exponential weights exp(-nV(z)) along contours in
the complex plane. We are especially interested in the question under which
circumstances the zeros of the orthogonal polynomials accumulate on a single
analytic arc (one cut case), and in which cases they do not. In a family of
cubic polynomial potentials V(z) = - iz^3/3 + iKz, we determine the precise
values of K for which we have the one cut case. We also prove the one cut case
for a monomial quintic V(z) = - iz^5/5 on a contour that is symmetric in the
imaginary axis.


title: Remarks on Ultrametrics and Metric-Preserving Functions

abstract:
  Functions whose composition with every metric is a metric are said to be
metric-preserving. In this article, we investigate a variation of the concept
of metric-preserving functions where metrics are replaced by ultrametrics.


title: Is Non-Unique Decoding Necessary?

abstract:
  In multi-terminal communication systems, signals carrying messages meant for
different destinations are often observed together at any given destination
receiver. Han and Kobayashi (1981) proposed a receiving strategy which performs
a joint unique decoding of messages of interest along with a subset of messages
which are not of interest. It is now well-known that this provides an
achievable region which is, in general, larger than if the receiver treats all
messages not of interest as noise. Nair and El Gamal (2009) and Chong, Motani,
Garg, and El Gamal (2008) independently proposed a generalization called
indirect or non-unique decoding where the receiver uses the codebook structure
of the messages to uniquely decode only its messages of interest. Non-unique
decoding has since been used in various scenarios.
  The main result in this paper is to provide an interpretation and a
systematic proof technique for why non-unique decoding, in all known cases
where it has been employed, can be replaced by a particularly designed joint
unique decoding strategy, without any penalty from a rate region viewpoint.


title:
Direct and Inverse Computational Methods for Electromagnetic Scattering
  in Biological Diagnostics

abstract:
  Scattering theory has had a major roll in twentieth century mathematical
physics. Mathematical modeling and algorithms of direct,- and inverse
electromagnetic scattering formulation due to biological tissues are
investigated. The algorithms are used for a model based illustration technique
within the microwave range. A number of methods is given to solve the inverse
electromagnetic scattering problem in which the nonlinear and ill-posed nature
of the problem are acknowledged.


title: A Route toward Quantum Gravity through the Imaginary-Time Field Theory

abstract:
  A possible way toward the quantization of a weak gravitational field inspired
by the imaginary-time field theory is discussed. The analogies of the general
relativity in the canonical formulation with the thermodynamic geometry and
superfluids are also pointed out. The proposed regularization method in the
imaginary-time formalism of field theory shows a good chance removing
theoretical obstacles and constructing a perturbative theory of quantum
gravity.


title: A machine-assisted view of paraconsistency

abstract:
  For a newcomer, paraconsistent logics can be difficult to grasp. Even experts
in logic can find the concept of paraconsistency to be suspicious or misguided,
if not actually wrong. The problem is that although they usually have much in
common with more familiar logics (such as intuitionistic or classical logic),
paraconsistent logics necessarily disagree in other parts of the logical
terrain which one might have thought were not up for debate. Thus, one's
logical intuitions may need to be recalibrated to work skillfully with
paraconsistency. To get started, one should clearly appreciate the possibility
of paraconsistent logics and the genuineness of the distinctions to which
paraconsistency points. For this purpose, one typically encounters matrices
involving more than two truth values to characterize suitable consequence
relations. In the eyes of a two-valued skeptic, such an approach might seem
dubious. Even a non-skeptic might wonder if there's another way. To this end,
to explore the basic notions of paraconsistent logic with the assistance of
automated reasoning techniques. Such an approach has merit because by
delegating some of the logical work to a machine, one's logical "biases" become
externalized. The result is a new way to appreciate that the distinctions to
which paraconsistent logic points are indeed genuine. Our approach can even
suggest new questions and problems for the paraconsistent logic community.