title:
Optimal Observation Mode Scheduling for Systems under Temporal
  Constraints

abstract:
  Autonomous control systems use various sensors to decrease the amount of
uncertainty under which they operate. While providing partial observation of
the current state of the system, sensors require resources such as energy, time
and communication. We consider discrete systems with non-deterministic
transitions and multiple observation modes. The observation modes provide
different information about the states of the system and are associated with
non-negative costs. We consider two control problems. First, we aim to
construct a control and observation mode switching strategy that guarantees
satisfaction of a finite-time temporal property given as a formula of
syntactically co-safe fragment of LTL (scLTL) and at the same time, minimizes
the worst-case cost accumulated until the point of satisfaction. Second, the
bounded version of the problem is considered, where the temporal property must
be satisfied within given finite time bound. We present correct and optimal
solutions to both problems and demonstrate their usability on a case study
motivated by robotic applications.


title:
Mass inflation in Eddington-inspired Born-Infeld black holes: analytical
  scaling solutions

abstract:
  We study the inner dynamics of accreting Eddington-inspired Born-Infeld black
holes using the homogeneous approximation and taking charge as a surrogate for
angular momentum. We show that there is a minimum of the accretion rate below
which mass inflation does not occur, and we derive an analytical expression for
this threshold as a function of the fundamental scale of the theory, the
accretion rate, the mass, and the charge of the black hole. Our result
explicitly demonstrates that, no matter how close Eddington-inspired
Born-Infeld gravity is to general relativity, there is always a minimum
accretion rate below which there is no mass inflation. For larger accretion
rates, mass inflation takes place inside the black hole as in general
relativity until the extremely rapid density variations bring it to an abrupt
end. We derive analytical scaling solutions for the value of the energy density
and of the Misner-Sharp mass attained at the end of mass inflation as a
function of fundamental scale of the theory, the accretion rate, the mass, and
the charge of the black hole, and compare these with the corresponding
numerical solutions. We find that, except for unreasonably high accretion
rates, our analytical results appear to provide an accurate description of
homogeneous mass inflation inside accreting Eddington-inspired Born-Infeld
black holes.

categories: gr-qc astro-ph.CO astro-ph.HE hep-ph hep-th


title:
Investigating the Temperature Effects on Resistive Random Access Memory
  (RRAM) Devices

abstract:
  In this paper, we report the effect of filament radius and filament
resistivity on the saturated temperature of ZnO, TiO2, WO3 and HfO2 Resistive
Random Access Memory (RRAM) devices. We resort to the thermal reaction model of
RRAM for the present analysis. The results substantiate decrease in saturated
temperature with increase in the radius and resistivity of filament for the
investigated RRAM devices. Moreover, a sudden change in the saturated
temperature at a lower value of filament radius and resistivity is observed as
against the steady change at the medium and higher value of the filament radius
and resistivity. Results confirm the dependence of saturated temperature on the
filament size and resistivity in RRAM.


title:
Microscopic mechanism of the giant magnetocaloric effect in MnCoGe
  alloys probed by XMCD

abstract:
  One important aspect of the magneto-structural transition in MnCoGe and
related materials is the reduction in saturation magnetization from the
orthorhombic to the hexagonal phase. Here, by combining an element specific
magnetization probe such as x-ray magnetic circular dichroism and band
structure calculations, we show that the magnetic moment instability between
orthorhombic and hexagonal structures originates from a reduction in the Mn
sub-lattice magnetization. The consequences of the moment instability for the
magnetocaloric effect are discussed.


title: Transcriptions of Six Letters of Bernhard Riemann Preserved in the SIL

abstract:
  The German transcriptions of six letters of Bernhard Riemann preserved in the
Smithsonian Libraries (SIL) in Washington DC are given.


title:
Exact vector channel sum rules at finite temperature and their
  applications to lattice QCD data analysis

abstract:
  We derive three exact sum rules for the spectral function of the
electromagnetic current with zero spatial momentum at finite temperature. Two
of them are derived in this paper for the first time. We explicitly check that
these sum rules are satisfied in the weak coupling regime and examine which sum
rule is sensitive to the transport peak in the spectral function at low energy
or the continuum at high energy. Possible applications of the three sum rules
to lattice computations of the spectral function and transport coefficients are
also discussed: We propose an ansatz for the spectral function that can be
applied to all three sum rules and fit it to available lattice data of the
Euclidean vector correlator above the critical temperature. As a result, we
obtain estimates for both the electrical conductivity $\sigma$ and the second
order transport coefficient $\tau_J$.


title: Conformal geometry of non-reductive four-dimensional homogeneous spaces

abstract:
  We classify non-reductive four-dimensional homogeneous conformally Einstein
manifolds.


title: Gravity as the square of Yang-Mills?

abstract:
  In these lectures we review how the symmetries of gravitational theories may
be regarded as originating from those of "Yang-Mills squared". We begin by
motivating the idea that certain aspects of gravitational theories can be
captured by the product, in some sense, of two distinct Yang-Mills theories,
particularly in the context of scattering amplitudes. We then introduce a
concrete dictionary for the covariant fields of (super)gravity in terms of the
product of two (super) Yang-Mills theories. The dictionary implies that the
symmetries of each (super) Yang-Mills factor generate the symmetries of the
corresponding (super)gravity theory: general covariance, $p$-form gauge
invariance, local Lorentz invariance, local supersymmetry, R-symmetry and
U-duality.


title:
Construction of Gene and Species Trees from Sequence Data incl.
  Orthologs, Paralogs, and Xenologs

abstract:
  Phylogenetic reconstruction aims at finding plausible hypotheses of the
evolutionary history of genes or species based on genomic sequence information.
The distinction of orthologous genes (genes that having a common ancestry and
diverged after a speciation) is crucial and lies at the heart of many genomic
studies. However, existing methods that rely only on 1:1 orthologs to infer
species trees are strongly restricted to a small set of allowed genes that
provide information about the species tree. The use of larger gene sets that
consist in addition of non-orthologous genes (e.g. so-called paralogous or
xenologous genes) considerably increases the information about the evolutionary
history of the respective species. In this work, we introduce a novel method to
compute species phylogenies based on sequence data including orthologs,
paralogs or even xenologs.


title:
Quantum quenches in the sinh-Gordon model: steady state and one point
  correlation functions

abstract:
  We consider quantum quenches to the sinh-Gordon integrable quantum field
theory from a particular class of initial states. Our analysis includes the
case of mass and interaction quenches starting from a non-interacting theory.
By means of the recently developed quench action method, we fully characterize
the stationary state reached at long times after the quench in terms of the
corresponding rapidity distribution. We also provide exact results for the
expectation values of arbitrary vertex operators in the post-quench stationary
state by proposing a formula based on the analogy with the standard
thermodynamic Bethe ansatz. Finally, we comment on the behavior of the
post-quench stationary state under the mapping between the sinh-Gordon field
theory and the one-dimensional Lieb-Liniger model.


title: Order Book, Financial Markets and Self-Organized Criticality

abstract:
  We present a simple order book mechanism that regulates an artificial
financial market with self-organized criticality dynamics and fat tails of
returns distribution. The model shows the role played by individual imitation
in determining trading decisions, while fruitfully replicates typical aggregate
market behavior as the "self-fulfilling prophecy". We also address the role of
random traders as a possible decentralized solution to dampen market
fluctuations.


title: Bouncing cosmologies from quantum gravity condensates

abstract:
  We show how the large-scale cosmological dynamics can be obtained from the
hydrodynamics of isotropic group field theory condensate states in the
Gross-Pitaevskii approximation. The correct Friedmann equations are recovered
in the semi-classical limit for some choices of the parameters in the action
for the group field theory, and quantum gravity corrections arise in the
high-curvature regime causing a bounce which generically resolves the big-bang
and big-crunch singularities.


title: Bounding the Space of Holographic CFTs with Chaos

abstract:
  Thermal states of quantum systems with many degrees of freedom are subject to
a bound on the rate of onset of chaos, including a bound on the Lyapunov
exponent, $\lambda_L\leq 2\pi /\beta$. We harness this bound to constrain the
space of putative holographic CFTs and their would-be dual theories of AdS
gravity. First, by studying out-of-time-order four-point functions, we discuss
how $\lambda_L=2\pi/\beta$ in ordinary two-dimensional holographic CFTs is
related to properties of the OPE at strong coupling. We then rule out the
existence of unitary, sparse two-dimensional CFTs with large central charge and
a set of higher spin currents of bounded spin; this implies the inconsistency
of weakly coupled AdS$_3$ higher spin gravities without infinite towers of
gauge fields, such as the $SL(N)$ theories. This fits naturally with the
structure of higher-dimensional gravity, where finite towers of higher spin
fields lead to acausality. On the other hand, unitary CFTs with classical
$W_{\infty}[\lambda]$ symmetry, dual to 3D Vasiliev or hs[$\lambda$] higher
spin gravities, do not violate the chaos bound, instead exhibiting no chaos:
$\lambda_L=0$. Independently, we show that such theories violate unitarity for
$|\lambda|>2$. These results encourage a tensionless string theory
interpretation of the 3D Vasiliev theory. We also perform some CFT calculations
of chaos in Rindler space in various dimensions.


title:
Globally Optimal Base Station Clustering in Interference Alignment-Based
  Multicell Networks

abstract:
  Coordinated precoding based on interference alignment is a promising
technique for improving the throughputs in future wireless multicell networks.
In small networks, all base stations can typically jointly coordinate their
precoding. In large networks however, base station clustering is necessary due
to the otherwise overwhelmingly high channel state information (CSI)
acquisition overhead. In this work, we provide a branch and bound algorithm for
finding the globally optimal base station clustering. The algorithm is mainly
intended for benchmarking existing suboptimal clustering schemes. We propose a
general model for the user throughputs, which only depends on the long-term CSI
statistics. The model assumes intracluster interference alignment and is able
to account for the CSI acquisition overhead. By enumerating a search tree using
a best-first search and pruning sub-trees in which the optimal solution
provably cannot be, the proposed method converges to the optimal solution. The
pruning is done using specifically derived bounds, which exploit some assumed
structure in the throughput model. It is empirically shown that the proposed
method has an average complexity which is orders of magnitude lower than that
of exhaustive search.


title:
An exact result concerning the $1/f$ noise contribution to the
  large-angle error in CMB temperature and polarization maps

abstract:
  We present an exact expression for the $1/f$ contribution to the noise of the
CMB temperature and polarization maps for a survey in which the scan pattern is
isotropic. The result for polarization applies likewise to surveys with and
without a rotating half-wave plate. A representative range of survey parameters
is explored and implications for the design and optimization of future surveys
are discussed. These results are most directly applicable to space-based
surveys, which afford considerable freedom in the choice of the scan pattern on
the celestial sphere. We discuss the applicability of the methods developed
here to analyzing past experiments and present some conclusions pertinent to
the design of future experiments. The techniques developed here do not require
that the excess low frequency noise have exactly the $1/f$ shape and readily
generalize to other functional forms for the detector noise power spectrum. In
the case of weakly anisotropic scanning patterns the techniques in this paper
can be used to find a preconditioner for solving the map making equation
efficiently using the conjugate gradient method.


title: (m,n)-String in (p,q)-String and (p,q)-Five Brane Background

abstract:
  We study dynamics of (m,n)-string in (p,q)-five brane and (p,q)-string
background. We determine world-volume stress energy tensor and we analyze the
dependence of the string's dynamics on the values of the charges (m,n) and the
value of the angular momentum.


title:
Multiple positive solutions for nonlinear critical fractional elliptic
  equations involving sign-changing weight functions

abstract:
  In this article, we prove the existence and multiplicity of positive
solutions for the following fractional elliptic equation with sign-changing
weight functions: \begin{eqnarray*} \left\{\begin{array}{l@{\quad }l}
(-\Delta)^\alpha u= a_\lambda(x)|u|^{q-2}u+b(x)|u|^{2^*_\alpha-1}u &{\rm
in}\,\,\Omega, u=0\,\,&{\rm in}\,\,\R^N\setminus\Omega, \end{array} \right.
\end{eqnarray*} where $0<\alpha<1$, $ \Omega $ is a bounded domain with smooth
boundary in $ \R^N $ with $N>2\alpha$ and $ 2^*_\alpha=2N/(N-2\alpha)$ is the
fractional critical Sobolev exponent. Our multiplicity results are based on
studying the decomposition of the Nehari manifold and the
Ljusternik-Schnirelmann category.


title: Telling twins apart: Exo-Earths and Venuses with transit spectroscopy

abstract:
  The planned launch of the James Webb Space Telescope in 2018 will herald a
new era of exoplanet spectroscopy. JWST will be the first telescope sensitive
enough to potentially characterize terrestrial planets from their transmission
spectra. In this work, we explore the possibility that terrestrial planets with
Venus-type and Earth-type atmospheres could be distinguished from each other
using spectra obtained by JWST. If we find a terrestrial planet close to the
liquid water habitable zone of an M5 star within a distance of 10 parsecs, it
would be possible to detect atmospheric ozone if present in large enough
quantities, which would enable an oxygen-rich atmosphere to be identified.
However, the cloudiness of a Venus-type atmosphere would inhibit our ability to
draw firm conclusions about the atmospheric composition, making any result
ambiguous. Observing small, temperate planets with JWST requires significant
investment of resources, with single targets requiring of order 100 transits to
achieve sufficient signal to noise. The possibility of detecting a crucial
feature such as the ozone signature would need to be carefully weighed against
the likelihood of clouds obscuring gas absorption in the spectrum.


title:
Sequential measurement of displacement and conduction currents in
  electronic devices

abstract:
  The extension of the Ramo-Schockley-Pellegrini theorem for quantum systems
allows to define a positive-operator valued measure (POVM) for the total
conduction plus displacement electrical current. The resulting current operator
is characterized by two parameters, viz. the width of the associated Gaussian
functions and the lapse of time between consecutive measurements. For large
Gaussian dispersions and small time intervals, the operator obeys to a
continuous weak-measurement scheme. Contrarily, in the limit of very narrow
Gaussian widths and a single-shot measurement, the operator corresponds to a
standard von Neumann (projective) measurement. We have implemented the
resulting measurement protocol into a quantum electron transport simulator.
Numerical results for a resonant tunneling diode show the great sensibility of
current-voltage characteristics to different parameter configurations of the
total current operator.


title:
Iterations of the generalized Gram-Schmidt procedure for generating
  Parseval frames

abstract:
  In this paper we describe some properties of the generalized Gram-Schmidt
procedure (GGSP) for generating Parseval frames which was first introduced by
Casazza and Kutyniok [A generalization of Gram-Schmidt orthogonalization
generating all Parseval frames, Adv. Comput. Math. 27 (2007), pp. 65-78]. Next
we investigate the iterations of the procedure and its limit. In the end we
give some examples of the iterated procedure.


title: Light-matter interaction and Bose-Einstein condensation of light

abstract:
  The atom - electromagnetic field interaction is studied in the Dicke model,
wherein a single field mode is interacting with a collection of two level atoms
at thermal equilibrium. It is found that in the superradiant phase of the
system, wherein the Bose-Einstein condensation of photons takes place, the
notion of photon as an elementary electromagnetic excitation ceases to exist.
The phase and intensity excitations of the condensate are found to be the true
excitations of electromagnetic field. It is found that in this phase, the atom
interacts with these excitations in a distinct coherent transition process,
apart from the known stimulated emission/absorption and spontaneous emission
processes. In the coherent transition it is found that while the atomic state
changes in course of the transition process, the state of electromagnetic field
remains unaffected. It is found that the transition probability of such
coherent transition process is macroscopically large compared to other
stimulated emission/absorption and spontaneous emission processes.


title:
Numerical Evidence for Approximate Consistency and Markovianity of some
  Quantum Histories in a Class of Finite Closed Spin Systems

abstract:
  Closed quantum systems obey the Schroedinger equation whereas nonequilibrium
behavior of many of systems is routinely described in terms of classical,
Markovian stochastic processes. Evidently, there are fundamental differences
between those two types of behavior. We discuss the conditions under which the
unitary dynamics may be mapped onto pertinent classical stochastic processes.
This is first principally addressed based on the notions of "consistency" and
"Markovianity." Numerical data are presented that show that the above
conditions are to good approximation fulfilled for Heisenberg-type spin models
comprising 12-20 spins. The accuracy to which these conditions are met
increases with system size.


title:
High post-Newtonian order gravitational self-force analytical results
  for eccentric orbits around a Kerr black hole

abstract:
  We present the first analytic computation of the Detweiler-Barack-Sago
gauge-invariant redshift function for a small mass in {\it eccentric} orbit
around a {\it spinning} black hole. Our results give the redshift contributions
that mix eccentricity and spin effects, through second order in eccentricity,
second order in spin parameter, and the eight-and-a-half post-Newtonian order.


title:
Constraints on modified gravity from Planck 2015: when the health of
  your theory makes the difference

abstract:
  We use the effective field theory of dark energy (EFT of DE) formalism to
constrain dark energy models belonging to the Horndeski class with the recent
Planck 2015 CMB data. The space of theories is spanned by a certain number of
parameters determining the linear cosmological perturbations, while the
expansion history is set to that of a standard $\Lambda$CDM model. We always
demand that the theories be free of fatal instabilities. Additionally, we
consider two optional conditions, namely that scalar and tensor perturbations
propagate with subliminal speed. Such criteria severely restrict the allowed
parameter space and are thus very effective in shaping the posteriors. As a
result, we confirm that no theory performs better than $\Lambda$CDM when CMB
data alone are analysed. Indeed, the healthy dark energy models considered here
are not able to reproduce those phenomenological behaviours of the effective
Newton constant and gravitational slip parameters that, according to previous
studies, best fit the data.


title: Ramification theory and key polynomials

abstract:
  For a simple, normal and finite extension of a valued field, we prove that we
can related the order of the ramification group of the field extension and the
set of key polynomials associated to the extension of the valuation. More
precisely, the order of this group can be expressed in terms of a product of a
power of the characteristic of the residue field of the valuation and the
effective degrees of the key polynomials. We also give a condition on the order
of the ramification group so that there is no limit key polynomials for a
valuation of rank one. This condition also allow us to have a monomialization
theorem.


title:
Role of Phonons in Li-Diffusion, Thermal Expansion and Phase Transitions
  in beta-eucryptite: Inelastic Neutron Scattering and Lattice Dynamics Studies

abstract:
  Beta eucryptite (LiAlSiO4) shows one-dimensional super-ionic conductivity as
well as anisotropic thermal expansion behavior. We have performed inelastic
neutron scattering measurements in beta eucryptite over 300 to 900 K and
calculated the phonon spectrum using ab initio density functional theory
method. The calculated energy profile for cooperative lithium ion displacements
indicates preferential movement of Li ion along the hexagonal c-axis in the
high temperature phase. However, the energy barrier for Li ion diffusion is
significantly reduced when a Schottky defect is introduced in the crystal.
Further, the anisotropic stress dependence of the phonon spectrum is calculated
to obtain the thermal expansion behavior along various axes. The calculations
show that the Gruneisen parameters of the low-energy phonon modes around 10 meV
have large negative values and govern the negative thermal expansion behavior
both along the a and c axes. On the other hand, anisotropic elasticity along
with anisotropic positive values of the Gruneisen parameters of the high-energy
modes in the range 30 to 70 meV are responsible for positive thermal expansion
in the a-b plane and negative expansion along the c-axis. The analysis of the
polarization vectors of the phonon modes sheds light on the mechanism of the
anomalous thermal expansion behavior. We extend the study to discuss the
relationship of the soft phonons in the Brillouin zone with the observed
high-pressure and high-temperature phase transitions as reported in the
literature.


abstract:
  We present structural properties of Lie algebras admitting symmetric,
invariant and nondegenerate bilinear forms. We show that these properties are
not satisfied by nilradicals of parabolic subalgebras of real split forms of
complex simple Lie algebras, neither by 2-step nilpotent Lie algebras
associated with graphs, with only few exceptions. These rare cases are,
essentially, abelian Lie algebras, the free 3-step nilpotent Lie algebra on
2-generators and the free 2-step nilpotent Lie algebra on 3-generators.


title:
Effects of variability of X-ray binaries on the X-ray luminosity
  functions of Milky Way

abstract:
  The X-ray luminosity functions of galaxies have become a useful tool for
population studies of X-ray binaries in them. The availability of long term
light-curves of X-ray binaries with the All Sky X-ray Monitors opens up the
possibility of constructing X-ray luminosity functions, by also including the
intensity variation effects of the galactic X-ray binaries. We have constructed
multiple realizations of the X-ray luminosity functions (XLFs) of Milky Way,
using the long term light-curves of sources obtained in the 2-10 keV energy
band with the RXTE-ASM. The observed spread seen in the value of slope of both
HMXB and LMXB XLFs are due to inclusion of variable luminosities of X-ray
binaries in construction of these XLFs as well as finite sample effects. XLFs
constructed for galactic HMXBs in the luminosity range 10^{36} - 10^{39}
erg/sec is described by a power-law model with a mean power-law index of -0.48
and a spread due to variability of HMXBs as 0.19. XLFs constructed for galactic
LMXBs in the luminosity range 10^{36} - 10^{39} erg/sec has a shape of cut-off
power-law with mean power-law index of -0.31 and a spread due to variability of
LMXBs as 0.07.


title:
Pressure and magnetic field effects on a quasi-2D spin-1/2 Heisenberg
  antiferromagnet

abstract:
  Cu(pz)2(ClO4)2 (with pz denoting pyrazine, C4H4N2) is among the best
realizations of a two-dimensional spin-1/2 square-lattice antiferromagnet.
Below T_N = 4.21 K, its weak interlayer couplings induce a 3D magnetic order,
strongly influenced by external magnetic fields and/or hydrostatic pressure.
Previous work, focusing on the [H, T] phase diagram, identified a spin-flop
transition, resulting in a field-tunable bicritical point. However, the
influence of external pressure has not been investigated yet. Here we explore
the extended [p, H, T] phase diagram of Cu(pz)2(ClO4)2 under pressures up to 12
kbar and magnetic fields up to 7.1 T, via magnetometry and 35Cl nuclear
magnetic resonance (NMR) measurements. The application of magnetic fields
enhances T_XY , the crossover temperature from the Heisenberg to the XY model,
thus pointing to an enhancement of the effective anisotropy. The applied
pressure has an opposite effect [dT_N/dp = 0.050(8) K/kbar], as it modifies
marginally the interlayer couplings, but likely changes more significantly the
orbital reorientation and the square-lattice deformation. This results in a
remodeling of the effective Hamiltonian, whereby the field and pressure effects
compensate each other. Finally, by comparing the experimental data with
numerical simulations we estimate T_BKT, the temperature of the
Berezinskii-Kosterlitz-Thouless topological transition and argue why it is
inaccessible in our case.


title: Preconjugate variables in quantum field theory and their use

abstract:
  Preconjugate variables X have commutation relations with the energy-momentum
P of the respective system which are of a more general form than just the
Hamiltonian one. Since they have been proven useful in their own right for
finding new spacetimes we present here a study of them. Interesting examples
can be found via geometry: motions on the mass-shell for massive and massless
systems, and via group theory: invariance under special conformal
transformations of mass-shell, resp. light-cone -- both find representations on
Fock space. We work mainly in ordinary fourdimensional Minkowski space and spin
zero. The limit process from non-zero to vanishing mass turns out to be
non-trivial and leads naturally to wedge variables. We point out some
applications and extension to more general spacetimes. In a companion paper we
discuss the transition to conjugate pairs.


title:
Explicit back-off rates for achieving target throughputs in CSMA/CA
  networks

abstract:
  CSMA/CA networks have often been analyzed using a stylized model that is
fully characterized by a vector of back-off rates and a conflict graph.
Further, for any achievable throughput vector $\vec \theta$ the existence of a
unique vector $\vec \nu(\vec \theta)$ of back-off rates that achieves this
throughput vector was proven. Although this unique vector can in principle be
computed iteratively, the required time complexity grows exponentially in the
network size, making this only feasible for small networks.
  In this paper, we present an explicit formula for the unique vector of
back-off rates $\vec \nu(\vec \theta)$ needed to achieve any achievable
throughput vector $\vec \theta$ provided that the network has a chordal
conflict graph. This class of networks contains a number of special cases of
interest such as (inhomogeneous) line networks and networks with an acyclic
conflict graph. Moreover, these back-off rates are such that the back-off rate
of a node only depends on its own target throughput and the target throughput
of its neighbors and can be determined in a distributed manner.
  We further indicate that back-off rates of this form cannot be obtained in
general for networks with non-chordal conflict graphs. For general conflict
graphs we nevertheless show how to adapt the back-off rates when a node is
added to the network when its interfering nodes form a clique in the conflict
graph. Finally, we introduce a distributed chordal approximation algorithm for
general conflict graphs which is shown (using numerical examples) to be more
accurate than the Bethe approximation.


title: The EPR Paradox Implies A Minimum Achievable Temperature

abstract:
  We carefully examine the thermodynamic consequences of the repeated partial
projection model for coupling a quantum system to an arbitrary series of
environments under feedback control. This paper provides observational
definitions of heat and work that can be realized in current laboratory setups.
In contrast to other definitions, it uses only properties of the environment
and the measurement outcomes, avoiding references to the `measurement' of the
central system's state in any basis. These definitions are consistent with the
usual laws of thermodynamics at all temperatures, while never requiring
complete projective measurement of the entire system. It is shown that the
back-action of measurement must be counted as work rather than heat to satisfy
the second law. Comparisons are made to stochastic Schr\"{o}dinger unravelling
and transition-probability based methods, many of which appear as particular
limits of the present model. These limits show that our total entropy
production is a lower bound on traditional definitions of heat that trace out
the measurement device. Examining the master equation approximation to the
process at finite measurement rates, we show that most interactions with the
environment make the system unable to reach absolute zero. We give an explicit
formula for the minimum temperature achievable in repeatedly measured quantum
systems. The phenomenon of minimum temperature offers a novel explanation of
recent experiments aimed at testing fluctuation theorems in the quantum realm
and places a fundamental purity limit on quantum computers.


title:
Alignment of Quasar Polarizations on Large Scales Explained by Warped
  Cosmic Strings

abstract:
  The recently discovered alignment of quasar polarizations on very large
scales could possibly explained by considering cosmic strings on a warped five
dimensional spacetime. Compact objects, such as cosmic strings, could have
tremendous mass in the bulk, while their warped manifestations in the brane can
be consistent with general relativity in 4D. The self-gravitating cosmic string
induces gravitational wavelike disturbances which could have effects felt on
the brane, i.e., the massive effective 4D modes (Kaluza-Klein modes) of the
perturbative 5D graviton. This effect is amplified by the time dependent part
of the warp factor. Due to this warp factor, disturbances don't fade away
during the expansion of the universe. From a non-linear perturbation analysis
it is found that the effective Einstein 4D equations on an axially symmetric
spacetime, contain a "back-reaction" term on the righthand side caused by the
projected 5D Weyl tensor and can act as a dark energy term. The propagation
equations to first order for the metric components and scalar-gauge fields
contain $\varphi$-dependent terms, so the approximate wave solutions are no
longer axially symmetric. The disturbances, amplified by the warp factor, can
possess extremal values for fixed polar angles. This could explain the two
preferred polarization vectors mod $(\varphi, 90^o)$.


title:
On a possibility of a consistent interpretation of diboson excesses at
  LHC

abstract:
  Recently reported diboson and diphoton excesses at LHC are interpreted to be
connected with heavy $WW$ zero spin resonances. The resonances appears due to
the wouldbe anomalous triple interaction of the weak bosons, which is defined
by well-known coupling constant $\lambda$. The $2\, TeV$ anomaly tentatively
corresponds to weak isotopic spin 2 scalar state and the $\gamma\gamma\,\,750\,
GeV$ anomaly corresponds to weak isotopic spin 0 pseudoscalar state. We obtain
estimates for the effect, which qualitatively agree with ATLAS data. Effects
are predicted in a production of $W^+ W^-, (Z,\gamma) (Z,\gamma)$ via resonance
$X_{PS}$ with $M_{PS} \simeq 750\,GeV$, which could be reliably checked at the
upgraded LHC at $\sqrt{s}\,=\,13\, TeV$. In the framework of an approach to the
spontaneous generation of the triple anomalous interaction its coupling
constant is estimated to be $\lambda = -\,0.02\pm 0.005$ in an agreement with
existing restrictions. Specific predictions of the hypothesis are significant
effects in decay channels $X_{PS} \to \gamma\,l^+\,l^-\,, X_{PS} \to
l^+\,l^-\,\,l^+\,l^-\,(l = e,\,\mu)$.


title:
Bifurcation analysis and multistability detection of two delay-coupled
  FHN neurons

abstract:
  This paper presents an investigation of the dynamics of two coupled
non-identical FitzHugh-Nagumo neurons with quadratic term and delayed synaptic
connection. We consider coupling strength and time delay as bifurcation
parameters, and try to classify all possible dynamics. Bifurcation diagrams are
obtained numerically or analytically from the mathematical model, and the
parameter regions of different behaviors are clarified. The neural system
exhibits a unique rest point or three ones by employing the saddle-node
bifurcation, when strong coupling is applied in the system. Also the trivial
rest point shows transcritical bifurcation with one of the new rest points. The
asymptotic stability and possible Hopf and Bautin bifurcations of the trivial
rest point are studied by analyzing the corresponding characteristic equation.
Fold cycle, torus, fold-torus, and big homoclinic bifurcations of limit cycles,
together with $1:1$ and $1:4$ resonances are found. The delay-dependent
stability regions are illustrated in the parameter plane, through which the
double-Hopf, Hopf-transcritical, and double-zero bifurcation points can be
obtained from the intersection of different bifurcation branches. Various
patterns of multistability have been observed, both for small and large values
of delay. The system may exhibit synchronous and anti-phase periodic solutions,
which occur due to Hopf, fold cycle and torus bifurcations. By increasing the
range of parameter $\tau$ other branches of fold and torus bifurcations appear,
which lead to creation of more stable periodic solutions.


title:
Global correlations between electromagnetic and spectroscopic properties
  of collective $2^+_1$ and $2^+_2$ states

abstract:
  By using the general triaxial rotor model (TRM) and the phonon-configuration
mixing scheme within an anharmonic-vibrator(AHV) framework, a series of global
correlations between electromagnetic properties of nuclear $2^+_1$ and $2^+_2$
states are analytically established. The correlations from both models can
roughly describe the experimental data involving quadrupole collectivity with
few exceptions. Furthermore, there seems to be a robust orthogonal
transformation between the AHV and TRM bases for realistic nuclear systems,
suggesting that the two models may in fact be describing the collective
features of nuclear low-lying states in similar model spaces.


title:
Multiple testing of local maxima for detection of peaks on the
  (celestial) sphere

abstract:
  We present a topological multiple testing scheme for detecting peaks on the
sphere under isotropic Gaussian noise, where tests are performed at local
maxima of the observed field filtered by the spherical needlet transform. Our
setting is different from the standard Euclidean/large same asymptotic
framework, yet highly relevant to realistic experimental circumstances for some
important areas of application in astronomy. More precisely, we focus on cases
where a single realization of a smooth isotropic Gaussian random field on the
sphere is observed, and a number of well-localized signals are superimposed on
such background field. The proposed algorithms, combined with the
Benjamini-Hochberg procedure for thresholding p-values, provide asymptotic
strong control of the False Discovery Rate (FDR) and power consistency as the
signal strength and the frequency of the needlet transform get large. This
novel multiple testing method is illustrated in a simulation of point-source
detection in Cosmic Microwave Background radiation (CMB) data.


title:
Bias-variance trade-off in portfolio optimization under Expected
  Shortfall with $\ell_2$ regularization

abstract:
  The optimization of a large random portfolio under the Expected Shortfall
risk measure with an $\ell_2$ regularizer is carried out by analytical
calculation. The regularizer reins in the large sample fluctuations and the
concomitant divergent estimation error, and eliminates the phase transition
where this error would otherwise blow up. In the data-dominated region, where
the number $N$ of different assets in the portfolio is much less than the
length $T$ of the available time series, the regularizer plays a negligible
role even if its strength $\eta$ is large, while in the opposite limit, where
the size of samples is comparable to, or even smaller than the number of
assets, the optimum is almost entirely determined by the regularizer. We
construct the contour map of estimation error on the $N/T$ vs. $\eta$ plane and
find that for a given value of the estimation error the gain in $N/T$ due to
the regularizer can reach a factor of about 4 for a sufficiently strong
regularizer.


title: Balanced Allocation: Patience is not a Virtue

abstract:
  Load balancing is a well-studied problem, with balls-in-bins being the
primary framework. The greedy algorithm $\mathsf{Greedy}[d]$ of Azar et al.
places each ball by probing $d > 1$ random bins and placing the ball in the
least loaded of them. With high probability, the maximum load under
$\mathsf{Greedy}[d]$ is exponentially lower than the result when balls are
placed uniformly randomly. V\"ocking showed that a slightly asymmetric variant,
$\mathsf{Left}[d]$, provides a further significant improvement. However, this
improvement comes at an additional computational cost of imposing structure on
the bins.
  Here, we present a fully decentralized and easy-to-implement algorithm called
$\mathsf{FirstDiff}[d]$ that combines the simplicity of $\mathsf{Greedy}[d]$
and the improved balance of $\mathsf{Left}[d]$. The key idea in
$\mathsf{FirstDiff}[d]$ is to probe until a different bin size from the first
observation is located, then place the ball. Although the number of probes
could be quite large for some of the balls, we show that
$\mathsf{FirstDiff}[d]$ requires only at most $d$ probes on average per ball
(in both the standard and the heavily-loaded settings). Thus the number of
probes is no greater than either that of $\mathsf{Greedy}[d]$ or
$\mathsf{Left}[d]$. More importantly, we show that $\mathsf{FirstDiff}[d]$
closely matches the improved maximum load ensured by $\mathsf{Left}[d]$ in both
the standard and heavily-loaded settings. We further provide a tight lower
bound on the maximum load up to $O(\log \log \log n)$ terms. We additionally
give experimental data that $\mathsf{FirstDiff}[d]$ is indeed as good as
$\mathsf{Left}[d]$, if not better, in practice.


title:
Theory of population coupling and applications to describe high order
  correlations in large populations of interacting neurons

abstract:
  To understand the collective spiking activity in neuronal populations, it is
essential to reveal basic circuit variables responsible for these emergent
functional states. Here, I develop a mean field theory for the population
coupling recently proposed in the studies of visual cortex of mouse and monkey,
relating the individual neuron activity to the population activity, and extend
the original form to the second order, relating neuron-pair's activity to the
population activity, to explain the high order correlations observed in the
neural data. I test the computational framework on the salamander retinal data
and the cortical spiking data of behaving rats. For the retinal data, the
original form of population coupling and its advanced form can explain a
significant fraction of two-cell correlations and three-cell correlations,
respectively. For the cortical data, the performance becomes much better, and
the second order population coupling reveals non-local effects in local
cortical circuits.


title: Influence on Starobinsky inflation by other fields with large amplitude

abstract:
  The Starobinsky model is one of the inflation models consistent with the
result of CMB observation by the Planck satellite. We consider the dynamics of
the Starobinsky inflation in the presence of another scalar field with a large
expectation value during inflation due to a negative Hubble-induced mass. We
find that it would be affected if the other field has an amplitude close to the
Planck scale. In this case, we may observe such effects on the Starobinsky
model by future CMB experiments.


title:
Regular Spherically Symmetric Interior Solution To Schwarzschid's
  Solution Which Satisfies The Weak Energy Conditions

abstract:
  We present a simple spherically symmetric and regular solution of Einstein's
equations with two parameters $k$ and $M$, which matches to Schwarzschild's
solution, satisfies the weak energy conditions in the interior region and for
small $r$ behaves like the de Sitter solution. Its energy density $\rho$ and
its radial pressure $p_r$ satisfy the relation $\rho+p_r=0$. For some values of
$k/M$ the solution does not have an event horizon and the event horizon of
Schwarzschild's solution is inside the matching surface. Therefore it describes
the formation of a gravitational soliton, which is shown to be stable.
Gravitational solitons are related to dark matter. For the other values of
$k/M$ it is a regular black hole solution.


title: Radiative Neutrino Mass in Alternative Left-Right Model

abstract:
  We propose a radiative seesaw model in alternative left-right model without
any bidoublet scalar fields, in which all the fermion masses in the standard
model are generated through a canonical seesaw mechanism at the tree level. On
the other hand the observed neutrino masses are generated at two-loop level. In
this paper we focus on the neutrino sector and show how to induce the active
neutrino masses. Then we discuss the observed neutrino oscillation, constraints
from lepton flavor violations, new sources of muon anomalous magnetic moment, a
long-lived dark matter candidate with keV scale mass, and collider physics.


title: Terahertz-visible two-photon rotational spectroscopy of cold OD-

abstract:
  We present a method to measure rotational transitions of molecular anions in
the terahertz domain by sequential two-photon absorption. Ion excitation by
bound-bound terahertz absorption is probed by absorption in the visible on a
bound-free transition. The visible frequency is tuned to a state-selective
photodetachment transition of the excited anions. This provides a terahertz
action spectrum for just few hundred molecular ions. To demonstrate this we
measure the two lowest rotational transitions, J=1<-0 and J =2<-1 of OD- anions
in a cryogenic 22-pole trap. We obtain rotational transition frequencies of
598596.08(19) MHz for J=1<-0 and 1196791.57(27) MHz for J=2<-1 of OD-, in good
agreement with their only previous measurement. This two-photon scheme opens up
terahertz rovibrational spectroscopy for a range of molecular anions, in
particular for polyatomic and cluster anions.


title:
First-Order Indicators for the Estimation of Discrete Fractures in
  Porous Media

abstract:
  Faults and geological barriers can drastically affect the flow patterns in
porous media. Such fractures can be modeled as interfaces that interact with
the surrounding matrix. We propose a new technique for the estimation of the
location and hydrogeological properties of a small number of large fractures in
a porous medium from given distributed pressure or flow data. At each
iteration, the algorithm builds a short list of candidates by comparing
fracture indicators. These indicators quantify at the first order the decrease
of a data misfit function; they are cheap to compute. Then, the best candidate
is picked up by minimization of the objective function for each candidate.
Optimally driven by the fit to the data, the approach has the great advantage
of not requiring remeshing, nor shape derivation. The stability of the
algorithm is shown on a series of numerical examples representative of typical
situations.


title: Theory of light-induced effective magnetic field in Rashba ferromagnets

abstract:
  Motivated by recent experiments on all-optical magnetization reversal in
conductive ferromagnetic thin films we use nonequilibrium formalism to
calculate the effective magnetic field induced in a Rashba ferromagnet by a
short laser pulse. The main contribution to the effect originates in the direct
optical transitions between spin-split subbands. The resulting effective
magnetic field is inversely proportional to the impurity scattering rate and
can reach the amplitude of a few Tesla in the systems like Co/Pt bilayers. We
showthat the total light-induced effective magnetic field in ferromagnetic
systems is the sum of two contributions: a helicity dependent term, which is an
even function of magnetization, and a helicity independent term, which is an
odd function of magnetization. The primary role of the spin-orbit interaction
is to widen the frequency range for direct optical transitions.


title:
On non-autonomous maximal regularity for elliptic operators in
  divergence form

abstract:
  We consider the Cauchy problem for non-autonomous forms inducing elliptic
operators in divergence form with Dirichlet, Neumann, or mixed boundary
conditions on an open subset $\Omega$ $\subseteq$ R n. We obtain maximal
regularity in L 2 ($\Omega$) if the coefficients are bounded, uniformly
elliptic, and satisfy a scale invariant bound on their fractional
time-derivative of order one-half. Previous results even for such forms
required control on a time-derivative of order larger than one-half.


title:
A note on Maximum Likelihood Estimation for cubic and quartic canonical
  toric del Pezzo Surfaces

abstract:
  This article focuses on the study of toric algebraic statistical models which
correspond to toric Del Pezzo surfaces with Du Val singularities. A closed-form
for the Maximum Likelihood Estimate of algebraic statistical models which
correspond to cubic and quartic toric Del Pezzo surfaces with Du Val singular
points is given. Also, we calculate the ML degrees of some toric Del Pezzo
surfaces of degree less than or equal to six, which equals the degree of the
surface in all the case but one, namely the quintic with two points of type
$\mathbb{A}_1$.


title:
Thermodynamics and kinetics of Gribov-Zwanziger plasma with temperature
  dependent Gribov parameter

abstract:
  A Gribov-type dispersion relation is treated as an effective description of
interacting gluons forming a hot medium. Temperature dependence of the Gribov
parameter is determined from the fit to the lattice Yang-Mills results
describing thermodynamic functions. To maintain thermodynamic consistency of
the approach, a temperature dependent bag pressure is introduced. The results
obtained for equilibrium functions are generalised in the next step to
non-equilibrium conditions. We derive formulas for the bulk and shear viscosity
coefficients within the relaxation time approximation. We find evidence for
largely enhanced bulk viscosity in the region of the phase transition.


title: A Physics-First Approach to the Schwarzschild Metric

abstract:
  As is well-known, the Schwarzschild metric cannot be derived based on
pre-general-relativistic physics alone, which means using only special
relativity, the Einstein equivalence principle and the Newtonian limit. The
standard way to derive it is to employ Einstein's field equations. Yet, analogy
with Newtonian gravity and electrodynamics suggests that a more constructive
way towards the gravitational field of a point mass might exist. As it turns
out, the additional physics needed is captured in two plausible postulates.
These permit to deduce the exact Schwarzschild metric without invoking the
field equations. Since they express requirements essentially designed for use
with the spherically symmetric case, they are less general and powerful than
the postulates from which Einstein constructed the field equations. It is shown
that these imply the postulates given here but that the converse is not quite
true. The approach provides a fairly fast method to calculate the Schwarzschild
metric in arbitrary coordinates exhibiting stationarity and sheds new light on
the behavior of waves in gravitational fields.


title:
Low-dimensional approach to pair production in an oscillating electric
  field: Application to bandgap graphene layers

abstract:
  The production of particle-antiparticle pairs from the quantum field
theoretic ground state in the presence of an external electric field is
studied. Starting with the quantum kinetic Boltzmann-Vlasov equation in
four-dimensional spacetime, we obtain the corresponding equations in lower
dimensionalities by way of spatial compactification. Our outcomes in
$2+1$-dimensions are applied to bandgap graphene layers, where the charge
carriers have the particular property of behaving like light massive Dirac
fermions. We calculate the single-particle distribution function for the case
of an electric field oscillating in time and show that the creation of
particle-hole pairs in this condensed matter system closely resembles
electron-positron pair production by the Schwinger effect.


title: Dynamic Erd\"os- R\'enyi random graph with forbidden degree

abstract:
  As suggested by Itai Benjamini, we introduced a variant of the Erd\"os-
R\'enyi random graph process with a forbidden degree $k$, in which every edge
adjacent to a vertex $v$ is removed when the degree of $v$ reaches $k$ (but the
removed edges may very well be added again later). We study the existence of a
giant component, depending on the forbidden degree $k$ and the time parameter
$t$. We prove that for $k\textgreater{}4$ a giant component appears at some
point, while for $k\textless{}4$, a giant component never occurs. The main tool
of our study is the local limit of the random graph process: it provides useful
information about the cases $k\textgreater{}4$, but also the threshold case
k=4.


title: Radio mini-halos and AGN heating in cool core clusters of galaxies

abstract:
  The brightest cluster galaxy (BCG) in the majority of relaxed, cool core
galaxy clusters is radio loud, showing non-thermal radio jets and lobes ejected
by the central active galactic nucleus (AGN). Such relativistic plasma has been
unambiguously shown to interact with the surrounding thermal intra-cluster
medium (ICM) thanks to spectacular images where the lobe radio emission is
observed to fill the cavities in the X-ray-emitting gas. This `radio-mode AGN
feedback' phenomenon, which is thought to quench cooling flows, is widespread
and is critical to understand the physics of the inner regions of galaxy
clusters and the properties of the central BCG. At the same time,
mechanically-powerful AGN are likely to drive turbulence in the central ICM
which may contribute to gas heating and also play a role for the origin of
non-thermal emission on cluster-scales. Diffuse non-thermal emission has been
observed in a number of cool core clusters in the form of a radio mini-halo
surrounding the radio-loud BCG on scales comparable to that of the cooling
region. This contribution outlines the main points covered by the talk on these
topics. In particular, after summarizing the cooling flow regulation by AGN
heating and the non-thermal emission from cool core clusters, we present a
recent study of the largest collection of known mini-halo clusters (~ 20
objects) which investigated the scenario of a common origin of radio mini-halos
and gas heating. We further discuss the prospects offered by future radio
surveys with the Square Kilometre Array (SKA) for building large (>> 100
objects), unbiased mini-halo samples while probing at the same time the
presence of radio-AGN feedback in the host clusters.


title: Enhancing Genetic Algorithms using Multi Mutations

abstract:
  Mutation is one of the most important stages of the genetic algorithm because
of its impact on the exploration of global optima, and to overcome premature
convergence. There are many types of mutation, and the problem lies in
selection of the appropriate type, where the decision becomes more difficult
and needs more trial and error. This paper investigates the use of more than
one mutation operator to enhance the performance of genetic algorithms. Novel
mutation operators are proposed, in addition to two selection strategies for
the mutation operators, one of which is based on selecting the best mutation
operator and the other randomly selects any operator. Several experiments on
some Travelling Salesman Problems (TSP) were conducted to evaluate the proposed
methods, and these were compared to the well-known exchange mutation and
rearrangement mutation. The results show the importance of some of the proposed
methods, in addition to the significant enhancement of the genetic algorithm's
performance, particularly when using more than one mutation operator.


title: A multilayer PPI network analysis of different life stages in C. elegans

abstract:
  Molecular networks act as the backbone of cellular activities, providing an
{excellent} opportunity to understand the developmental changes in an organism.
While network data usually constitute only stationary network graphs,
constructing multilayer PPI network may provide clues to the particular
developmental role at each {stage of life} and may unravel the importance of
these developmental changes. The developmental biology model of {Caenorhabditis
elegans} {analyzed} here provides a ripe platform to understand the patterns of
evolution during life stages of an organism. In the present study, the widely
studied network properties exhibit overall similar statistics for all the PPI
layers. Further, the analysis of the degree-degree correlation and spectral
properties not only reveals crucial differences in each PPI layer but also
indicates the presence of the varying complexity among them. The PPI layer of
Nematode life stage exhibits various network properties different to rest of
the PPI layers, indicating the specific role of cellular diversity and
developmental transitions at this stage. The framework presented here provides
a direction to explore and understand developmental changes occurring in
different life stages of an organism.


title:
Weighted fast diffusion equations (Part II): Sharp asymptotic rates of
  convergence in relative error by entropy methods

abstract:
  This paper is the second part of the study. In Part~I, self-similar solutions
of a weighted fast diffusion equation (WFD) were related to optimal functions
in a family of subcritical Caffarelli-Kohn-Nirenberg inequalities (CKN) applied
to radially symmetric functions. For these inequalities, the linear instability
(symmetry breaking) of the optimal radial solutions relies on the spectral
properties of the linearized evolution operator. Symmetry breaking in (CKN) was
also related to large-time asymptotics of (WFD), at formal level. A first
purpose of Part~II is to give a rigorous justification of this point, that is,
to determine the asymptotic rates of convergence of the solutions to (WFD) in
the symmetry range of (CKN) as well as in the symmetry breaking range, and even
in regimes beyond the supercritical exponent in (CKN). Global rates of
convergence with respect to a free energy (or entropy) functional are also
investigated, as well as uniform convergence to self-similar solutions in the
strong sense of the relative error. Differences with large-time asymptotics of
fast diffusion equations without weights will be emphasized.


title: Differentials on Graph Complexes III - Deleting a Vertex

abstract:
  We prove that the hairy graph complex with the extra differential is almost
acyclic. This justifies the construction of hairy graph cohomology classes by
the waterfall mechanism. The main idea used in the paper is a new differential,
deleting a vertex. We hope that the new differential can have further
applications in the study of graph cohomology.


title: Effect of particle collisions in dense suspension flows

abstract:
  We study non-local effects associated with particle collisions in dense
suspension flows, in the context of the affine solvent model known to capture
various aspects of the jamming transition. We show that an individual collision
changes significantly the velocity field on a characteristic volume
$\Omega_c\sim 1/\delta z$ that diverges as jamming is approached, where $\delta
z$ is the deficit in coordination number required to jam the system. Such an
event also affects the contact forces between particles on that same volume
$\Omega_c$, but this change is modest in relative terms, of order $f_{coll}\sim
\bar{f}^{0.8}$, where $\bar{f}$ is the typical contact force scale. We then
show that the requirement that coordination is stationary (such that a
collision has a finite probability to open one contact elsewhere in the system)
yields the scaling of the viscosity (or equivalently the viscous number) with
coordination deficit $\delta z$. The same scaling result was derived in
[E.~DeGiuli, G.~D\"uring, E.~Lerner, and M.~Wyart, Phys.~Rev.~E {\bf 91},
062206 (2015)] via different arguments making an additional assumption. The
present approach gives a mechanistic justification as to why the correct finite
size scaling volume behaves as $1/\delta z$, and can be used to recover a
marginality condition known to characterize the distributions of contact forces
and gaps in jammed packings.


title: Growth of meromorphic solutions of delay differential equations

abstract:
  Necessary conditions are obtained for certain types of rational delay
differential equations to admit a non-rational meromorphic solution of
hyper-order less than one. The equations obtained include delay Painlev\'e
equations and equations solved by elliptic functions.


title:
Weighted fast diffusion equations (Part I): Sharp asymptotic rates
  without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg
  inequalities

abstract:
  In this paper we consider a family of Caffarelli-Kohn-Nirenberg interpolation
inequalities (CKN), with two radial power law weights and exponents in a
subcritical range. We address the question of symmetry breaking: are the
optimal functions radially symmetric, or not ? Our intuition comes from a
weighted fast diffusion (WFD) flow: if symmetry holds, then an explicit entropy
- entropy production inequality which governs the intermediate asymptotics is
indeed equivalent to (CKN), and the self-similar profiles are optimal for
(CKN). We establish an explicit symmetry breaking condition by proving the
linear instability of the radial optimal functions for (CKN). Symmetry breaking
in (CKN) also has consequences on entropy - entropy production inequalities and
on the intermediate asymptotics for (WFD). Even when no symmetry holds in
(CKN), asymptotic rates of convergence of the solutions to (WFD) are determined
by a weighted Hardy-Poincar{\'e} inequality which is interpreted as a
linearized entropy - entropy production inequality. All our results rely on the
study of the bottom of the spectrum of the linearized diffusion operator around
the self-similar profiles, which is equivalent to the linearization of (CKN)
around the radial optimal functions, and on variational methods. Consequences
for the (WFD) flow will be studied in Part II of this work.


title:
Development of a high quality thin diamond membrane with embedded
  nitrogen-vacancy centers for hybrid spin-mechanical quantum systems

abstract:
  Hybrid quantum systems (HQSs) have attracted several research interests in
the last years. In this Letter, we report on the design, fabrication, and
characterization of a novel diamond architecture for HQSs that consists of a
high quality thin circular diamond membrane with embedded near-surface
nitrogen-vacancy centers (NVCs). To demonstrate this architecture, we employed
the NVCs by means of their optical and spin interfaces as nanosensors of the
motion of the membrane under static pressure and in-resonance vibration, as
well as the residual stress of the membrane. Driving the membrane at its
fundamental resonance mode, we observed coupling of this vibrational mode to
the spin of the NVCs by Hahn echo signal. Our realization of this architecture
will enable futuristic HQS-based applications in diamond piezometry and
vibrometry, as well as spin-mechanical and mechanically mediated spin-spin
coupling in quantum information science.


title: The Virtues of Conflict: Analyzing Modern Concurrency

abstract:
  Modern shared memory multiprocessors permit reordering of memory operations
for performance reasons. These reorderings are often a source of subtle bugs in
programs written for such architectures. Traditional approaches to verify weak
memory programs often rely on interleaving semantics, which is prone to state
space explosion, and thus severely limits the scalability of the analysis. In
recent times, there has been a renewed interest in modelling dynamic executions
of weak memory programs using partial orders. However, such an approach
typically requires ad-hoc mechanisms to correctly capture the data and
control-flow choices/conflicts present in real-world programs. In this work, we
propose a novel, conflict-aware, composable, truly concurrent semantics for
programs written using C/C++ for modern weak memory architectures. We exploit
our symbolic semantics based on general event structures to build an efficient
decision procedure that detects assertion violations in bounded multi-threaded
programs. Using a large, representative set of benchmarks, we show that our
conflict-aware semantics outperforms the state-of-the-art partial-order based
approaches.


title:
Structural and electronic properties of Li intercalated graphene on
  SiC(0001)

abstract:
  We investigate the structural and electronic properties of Li-intercalated
monolayer graphene on SiC(0001) using combined angle-resolved photoemission
spectroscopy and first-principles density functional theory. Li intercalates at
room temperature both at the interface between the buffer layer and SiC and
between the two carbon layers. The graphene is strongly $n$-doped due to charge
transfer from the Li atoms and two $\pi$-bands are visible at the
$\bar{K}$-point. After heating the sample to 300$^\circ$C, these $\pi$-bands
become sharp and have a distinctly different dispersion to that of
Bernal-stacked bilayer graphene. We suggest that the Li atoms intercalate
between the two carbon layers with an ordered structure, similar to that of
bulk LiC$_6$. An AA-stacking of these two layers becomes energetically
favourable. The $\pi$-bands around the $\bar{K}$-point closely resemble the
calculated band structure of a C$_6$LiC$_6$ system, where the intercalated Li
atoms impose a super-potential on the graphene electronic structure that opens
pseudo-gaps at the Dirac points of the two $\pi$-cones.


title: Deep Spiking Networks

abstract:
  We introduce an algorithm to do backpropagation on a spiking network. Our
network is "spiking" in the sense that our neurons accumulate their activation
into a potential over time, and only send out a signal (a "spike") when this
potential crosses a threshold and the neuron is reset. Neurons only update
their states when receiving signals from other neurons. Total computation of
the network thus scales with the number of spikes caused by an input rather
than network size. We show that the spiking Multi-Layer Perceptron behaves
identically, during both prediction and training, to a conventional deep
network of rectified-linear units, in the limiting case where we run the
spiking network for a long time. We apply this architecture to a conventional
classification problem (MNIST) and achieve performance very close to that of a
conventional Multi-Layer Perceptron with the same architecture. Our network is
a natural architecture for learning based on streaming event-based data, and is
a stepping stone towards using spiking neural networks to learn efficiently on
streaming data.


title: Hole probability for nodal sets of the cut-off Gaussian Free Field

abstract:
  Let ($\Sigma$, g) be a closed connected surface equipped with a riemannian
metric. Let ($\lambda$ n) n$\in$N and ($\psi$ n) n$\in$N be the increasing
sequence of eigenvalues and the sequence of corresponding L 2-normalized
eigenfunctions of the laplacian on $\Sigma$. For each L \textgreater{} 0, we
consider $\phi$ L = 0\textless{}$\lambda$n$\le$L $\xi$n $\sqrt$ $\lambda$n
$\psi$ n where the $\xi$ n are i.i.d centered gaussians with variance 1. As L
$\rightarrow$ $\infty$, $\phi$ L converges a.s. to the Gaussian Free Field on
$\Sigma$ in the sense of distributions. We first compute the asymptotic
behavior of the covariance function for this family of fields as L
$\rightarrow$ $\infty$. We then use this result to obtain the asymptotics of
the probability that $\phi$ L is positive on a given open proper subset with
smooth boundary. In doing so, we also prove the concentration of the supremum
of $\phi$ L around 1 $\sqrt$ 2$\pi$ ln L.


title: Victory Sign Biometric for Terrorists Identification

abstract:
  Covering the face and all body parts, sometimes the only evidence to identify
a person is their hand geometry, and not the whole hand- only two fingers (the
index and the middle fingers) while showing the victory sign, as seen in many
terrorists videos. This paper investigates for the first time a new way to
identify persons, particularly (terrorists) from their victory sign. We have
created a new database in this regard using a mobile phone camera, imaging the
victory signs of 50 different persons over two sessions. Simple measurements
for the fingers, in addition to the Hu Moments for the areas of the fingers
were used to extract the geometric features of the shown part of the hand shown
after segmentation. The experimental results using the KNN classifier were
encouraging for most of the recorded persons; with about 40% to 93% total
identification accuracy, depending on the features, distance metric and K used.


title: Mean flow generation in rotating anelastic two-dimensional convection

abstract:
  We investigate the processes that lead to the generation of mean flows in
two-dimensional anelastic convection. The simple model consists of a plane
layer that is rotating about an axis inclined to gravity. The results are
two-fold: firstly we numerically investigate the onset of convection in
three-dimensions, paying particular attention to the role of stratification and
highlight a curious symmetry. Secondly, we investigate the mechanisms that
drive both zonal and meridional flows in two dimensions. We find that, in
general, non-trivial Reynolds stresses can lead to systematic flows and, using
statistical measures, we quantify the role of stratification in modifying the
coherence of these flows.


title:
Energy-Efficient Localization and Tracking of Mobile Devices in Wireless
  Sensor Networks

abstract:
  Wireless sensor networks (WSNs) are effective for locating and tracking
people and objects in various industrial environments. Since energy consumption
is critical to prolonging the lifespan of WSNs, we propose an energy-efficient
LOcalization and Tracking} (eLOT) system, using low-cost and portable hardware
to enable highly accurate tracking of targets. Various fingerprint-based
approaches for localization and tracking are implemented in eLOT. In order to
achieve high energy efficiency, a network-level scheme coordinating collision
and interference is proposed. On the other hand, based on the location
information, mobile devices in eLOT can quickly associate with the specific
channel in a given area, while saving energy through avoiding unnecessary
transmission. Finally, a platform based on TI CC2530 and the Linux operating
system is built to demonstrate the effectiveness of our proposed scheme in
terms of localization accuracy and energy efficiency.


title:
On the number of commutation classes of the longest element in the
  symmetric group

abstract:
  Using the standard Coxeter presentation for the symmetric group $S_n$, two
reduced expressions for the same group element are said to be commutation
equivalent if we can obtain one expression from the other by applying a finite
sequence of commutations. The resulting equivalence classes of reduced
expressions are called commutation classes. How many commutation classes are
there for the longest element in $S_n$?


title: Quantum states of dark solitons in the 1D Bose gas

abstract:
  We present a series of quantum states that are characterized by dark solitons
of the nonlinear Schr\"{o}dinger equation (i.e. the Gross-Pitaevskii equation)
for the one-dimensional (1D) Bose gas interacting through the repulsive
delta-function potentials. The classical solutions satisfy the periodic
boundary conditions and we call them periodic dark solitons. Through exact
solutions we show corresponding aspects between the states and the solitons in
the weak coupling case: the quantum and classical density profiles completely
overlap with each other not only at an initial time but also at later times
over a long period of time, and they move together with the same speed in time;
the matrix element of the bosonic field operator between the quantum states has
exactly the same profiles of the square amplitude and the phase as the
classical complex scalar field of a periodic dark soliton not only at the
initial time but also at later times, and the corresponding profiles move
together for a long period of time. We suggest that the corresponding
properties hold rigorously in the weak coupling limit. Furthermore, we argue
that the lifetime of the dark soliton-like density profile in the quantum state
becomes infinitely long as the coupling constant approaches zero, by comparing
it with the quantum speed limit time. Thus, we call the quantum states quantum
dark soliton states.


title:
Real submanifolds of maximum complex tangent space at a CR singular
  point, I

abstract:
  We study a germ of real analytic n-dimensional submanifold of C n that has a
complex tangent space of maximal dimension at a CR singularity. Under some
assumptions , we show its equivalence to a normal form under a local
biholomorphism at the singularity. We also show that if a real submanifold is
formally equivalent to a quadric, it is actually holomorphically equivalent to
it, if a small divisors condition is satisfied. Finally, we investigate the
existence of a complex submanifold of positive dimension in C n that intersects
a real submanifold along two totally and real analytic submanifolds that
intersect transversally at a possibly non-isolated CR singularity.


title:
Examples of type ${\rm III}_{1}$ inhomogenous Markov shifts supported on
  topological Markov shifts

abstract:
  We construct inhomogenous Markov measures for which the shift is of Kreiger
type ${\rm III}_{1}$. These measures are fully supported on a toplogical markov
shift space of the hyperbolic toral automorphism
$f(x,y)=\left(\{x+y\},x\right):\mathbb{T}^{2}\to\mathbb{T}^{2}$ and are used in
a subsequent paper in the construction of $C^{1}$ Anosov diffeomorphisms of
$\mathbb{T}^{2}$ without an absolutely continuous invariant measure.


title: Bounded Rational Decision-Making in Feedforward Neural Networks

abstract:
  Bounded rational decision-makers transform sensory input into motor output
under limited computational resources. Mathematically, such decision-makers can
be modeled as information-theoretic channels with limited transmission rate.
Here, we apply this formalism for the first time to multilayer feedforward
neural networks. We derive synaptic weight update rules for two scenarios,
where either each neuron is considered as a bounded rational decision-maker or
the network as a whole. In the update rules, bounded rationality translates
into information-theoretically motivated types of regularization in weight
space. In experiments on the MNIST benchmark classification task for
handwritten digits, we show that such information-theoretic regularization
successfully prevents overfitting across different architectures and attains
results that are competitive with other recent techniques like dropout,
dropconnect and Bayes by backprop, for both ordinary and convolutional neural
networks.


title:
Hydrogen emission under laser exposure of colloidal solutions of
  nanoparticles

abstract:
  We report the generation of molecular hydrogen from water by laser
irradiation, without any electrodes and photocatalysts. A near infrared pulsed
nanosecond laser is used for exposure of colloidal solution of Au nanoparticles
suspended in water. Laser exposure of the colloidal solution results in
formation of plasma of laser breakdown of liquid and emission of H2. The rate
of H2 emission depends critically on the energy of laser pulses. There is a
certain threshold in laser fluence in liquid (around 50 J/cm2) below which
plasma disappears and H2 emission stops. H2 emission from colloidal solution of
Au nanoparticles in ethanol is higher than that from similar water colloid. It
is found that formation of plasma and emission of H2 or D2 can be induced by
laser exposure of pure liquids, either H2O or D2O, respectively. The results
are interpreted as water molecules splitting by direct electron impact from
breakdown plasma.


title:
Gate fidelity and coherence of an electron spin in a Si/SiGe quantum dot
  with micromagnet

abstract:
  The gate fidelity and the coherence time of a qubit are important benchmarks
for quantum computation. We construct a qubit using a single electron spin in a
Si/SiGe quantum dot and control it electrically via an artificial spin-orbit
field from a micromagnet. We measure an average single-qubit gate fidelity of
$\approx$ 99$\%$ using randomized benchmarking, which is consistent with
dephasing from the slowly evolving nuclear spins in substrate. The coherence
time measured using dynamical decoupling extends up to $\approx$ 400 $\mu$s for
128 decoupling pulses, with no sign of saturation. We find evidence that the
coherence time is limited by noise in the 10 kHz $-$ 1 MHz range, possibly
because charge noise affecting the spin via the micromagnet gradient. This work
shows that an electron spin in a Si/SiGe quantum dot is a good candidate for
quantum information processing as well as for a quantum memory, even without
isotopic purification.


title:
Influence of external magnetic field on laser breakdown plasma in
  aqueous Au nanoparticles colloidal solutions

abstract:
  Influence of permanent magnetic field up to 7.5 T on plasma emission and
laser-assisted Au nanoparticles fragmentation in water is experimentally
studied. It is found that presence of magnetic field causes the breakdown
plasma emission to start earlier regarding to laser pulse. Field presence also
accelerates the fragmentation of nanoparticles down to a few nanometers.
Dependence of Au NPs fragmentation rate in water on magnetic field intensity is
investigated. The results are discussed on the basis of laser-induced plasma
interaction with magnetic field.


title: Stochastic Functional Differential Equations and Feynman-Kac Formula

abstract:
  In the framework of stochastic functional differential equations (SFDE's) and
the corresponding calculus developed in the recent years by F. Yan and S.
Mohammed, we provide a series of representation formulae for a variety of
highly degenerate functional differential equations of the type of the
Feynman-Kac formulae. More precisely, we study the stochastic process
satisfying regular SFDE's with killing and absorbing boundary, we give the
differential equation to be solved in order to compute the distribution of the
first exit time from a regular domain and apply our results to a model
describing bacterial motility and to the derivation of a path-dependent
Black-Scholes equation.


title: Multicentric calculus and the Riesz projection

abstract:
  In multicentric holomorphic calculus one represents the function $\varphi$
using a new polynomial variable $w=p(z)$ in such a way that when it is
evaluated at the operator $A,$ then $p(A)$ is small in norm. Usually it is
assumed that $p$ has distinct roots. In this paper we discuss two related
problems, the separation of a compact set (such as the spectrum) into different
components by a polynomial lemniscate, respectively the application of the
Calculus to the computation and the estimation of the Riesz spectral
projection. It may then become desirable the use of $p(z)^n$ as a new variable.
We also develop the necessary modifications to incorporate the multiplicities
in the roots.


title:
The DUNE-DPG library for solving PDEs with Discontinuous
  Petrov--Galerkin finite elements

abstract:
  In the numerical solution of partial differential equations (PDEs), a central
question is the one of building variational formulations that are inf-sup
stable not only at the infinite-dimensional level, but also at the
finite-dimensional one. This guarantees that residuals can be used to tightly
bound errors from below and above and is crucial for a posteriori error control
and the development of adaptive strategies. In this framework, the so-called
Discontinuous Petrov--Galerkin (DPG) concept can be viewed as a systematic
strategy of contriving variational formulations which possess these desirable
stability properties, see e. g. Broersen et al. [2015]. In this paper, we
present a C++ library, Dune-DPG, which serves to implement and solve such
variational formulations. The library is built upon the multipurpose finite
element package Dune (see Blatt et al. [2016]). One of the main features of
Dune-DPG is its flexibility which is achieved by a highly modular structure.
The library can solve in practice some important classes of PDEs (whose range
goes beyond classical second order elliptic problems and includes e. g.
transport dominated problems). As a result, Dune-DPG can also be used to
address other problems like optimal control with the DPG approach.


title: Oscillating Flavors in Massless Neutrinos

abstract:
  By considering Dirac's equation using quaternions ($\mathbb{H}$) with their
greater degree of freedom in imaginaries, it is shown that a model can be
created with oscillations among flavors even if the particles, are massless.
Furthermore the solutions are spin $\frac{1}{2}$ and have helicities depending
on whether their energy is positive or negative.


title: Thermodynamic formalism and $k$-bonacci substitutions

abstract:
  We study $k$-bonacci substitutions. For each we define a renormalization
operator associated to it and examine its iterates over potentials in a certain
class. We also study the pressure function associated to potentials in this
class and prove the existence of a freezing phase transition which is realized
by the only ergodic measure on the subshift associated to the substitution.


title:
Cartographic distortions make dielectric spacetime analog models
  imperfect mimickers

abstract:
  It is commonly assumed that if the optical metric of a dielectric medium is
identical to the metric of a vacuum space-time then light propagation through
the dielectric mimics light propagation in the vacuum. However, just as the
curved surface of the Earth cannot be mapped into a flat plane without
distortion of some surface features, so too is it impossible to project the
behavior of light from the vacuum into a dielectric analog residing in
Minkowski space-time without introducing distortions. We study the covariance
properties of dielectric analog space-times and the kinematics of a congruence
of light in the analog, and show how certain features can be faithfully
emulated in the analog depending on the choice of projection, but that not all
features can be simultaneously emulated without distortion. These findings
indicate conceptual weaknesses in the idea of using analog space-times as a
basis for transformation optics, and we show that a certain formulation of
transformation optics closely related to analog space-times resolves these
issues.


title:
Extended Eckart Theorem and New Variation Method for Excited States of
  Atoms

abstract:
  We extend the Eckart theorem, from the ground state to excited statew, which
introduces an energy augmentation to the variation criterion for excited
states. It is shown that the energy of a very good excited state trial function
can be slightly lower than the exact eigenvalue. Further, the energy calculated
by the trial excited state wave function, which is the closest to the exact
eigenstate through Gram-Schmidt orthonormalization to a ground state
approximant, is lower than the exact eigenvalue as well. In order to avoid the
variation restrictions inherent in the upper bound variation theory based on
Hylleraas, Undheim, and McDonald [HUM] and Eckart Theorem, we have proposed a
new variation functional Omega-n and proved that it has a local minimum at the
eigenstates, which allows approaching the eigenstate unlimitedly by variation
of the trial wave function. As an example, we calculated the energy and the
radial expectation values of Triplet-S(even) Helium atom by the new variation
functional, and by HUM and Eckart theorem, respectively, for comparison. Our
preliminary numerical results reveal that the energy of the calculated excited
states 3rd Triplet-S(even) and 4th Triplet-S(even) may be slightly lower than
the exact eigenvalue (inaccessible by HUM theory) according to the General
Eckart Theorem proved here, while the approximate wave function is better than
HUM.


title:
Role of evaporation rate on the particle organization and crack patterns
  obtained by drying a colloidal layer

abstract:
  -- A scientific hurdle in manufacturing solid films by drying colloidal
layers is preventing them from fracturing. This paper examines how the drying
rate of colloidal liquids influences the particle packing at the nanoscale in
correlation with the crack patterns observed at the macroscale. Increasing the
drying rate results in more ordered, denser solid structures, and the dried
samples have more cracks.Yet, introducing a holding period (at a prescribed
point) during the drying protocol results in a more disordered solid structure
with significantly less cracks. To interpret these observations, this paper
conjectures that a longer drying protocol favors the formation of aggregates.
It is further argued that the number and size of the aggregates increase as the
drying rate decreases. This results in the formation of a more disordered,
porous film from the viewpoint of the particle packing, and a more resistant
film, i.e. less cracks, from the macroscale viewpoint.


title: An existence result

abstract:
  On compact Riemannian manifold of dimension n, and under some conditions on
the curvature, we have changing-sign solutions for n large enough for an
elliptic PDE.


title: On Incompleteness of Some Integrable Rational Maps

abstract:
  An argument is given to associate integrable nonintegrable transition of
discrete maps with the transition of Lawvere's fixed point theorem to its own
contrapositive. We show that the classical description of nonlinear maps is
neither complete nor totally predictable.

categories: math.DS math-ph math.CT math.LO math.MP nlin.CD nlin.SI


title: The number of roots of full support

abstract:
  Chapoton has observed a simple product formula for the number of reflections
in a finite Coxeter group that have full support. We give a uniform proof of
his formula for Weyl groups. We furthermore refine his formula by the length of
the roots.


title: A bijection for two sequences in OEIS

abstract:
  We show that sequences A026737 and A111279 in The On-Line Encyclopedia of
Integer Sequences are the same by giving a bijection between two classes of
Grand Schroder paths.


title:
Multiferroic clusters: a new perspective for relaxor-type
  room-temperature multiferroics

abstract:
  Multiferroics are promising for sensor and memory applications, but despite
all efforts invested in their research no single-phase material displaying both
ferroelectricity and large magnetization at room-temperature has hitherto been
reported. This situation has substantially been improved in the novel relaxor
ferroelectric single-phase , where polar nanoregions (PNR) transform into
static-PNR (SPNR) as evidenced by piezoresponse force microscopy (PFM) and
simultaneously enable congruent multiferroic clusters (MFC) to emerge from
inherent ferrimagnetic Bi(Fe,Co)O3 regions as verified by magnetic force
microscopy (MFM) and secondary ion mass spectrometry (SIMS). On these MFC,
exceptionally large direct and converse magnetoelectric coupling coefficients,
at room-temperature, were measured by PFM and MFM respectively. We expect the
non-ergodic relaxor properties which are governed by the Bi0.5K0.5TiO3
component to play a vital role in the strong ME coupling, by providing an
electrically and mechanically flexible environment to MFC. This new class of
non-ergodic relaxor multiferroics bears great potential for applications.
Especially the prospect of a ME nanodot storage device seems appealing.


title: Relational lattices via duality

abstract:
  The natural join and the inner union combine in different ways tables of a
relational database. Tropashko [18] observed that these two operations are the
meet and join in a class of lattices-called the relational lattices- and
proposed lattice theory as an alternative algebraic approach to databases.
Aiming at query optimization, Litak et al. [12] initiated the study of the
equational theory of these lattices. We carry on with this project, making use
of the duality theory developed in [16]. The contributions of this paper are as
follows. Let A be a set of column's names and D be a set of cell values; we
characterize the dual space of the relational lattice R(D, A) by means of a
generalized ultrametric space, whose elements are the functions from A to D,
with the P (A)-valued distance being the Hamming one but lifted to subsets of
A. We use the dual space to present an equational axiomatization of these
lattices that reflects the combinatorial properties of these generalized
ultrametric spaces: symmetry and pairwise completeness. Finally, we argue that
these equations correspond to combinatorial properties of the dual spaces of
lattices, in a technical sense analogous of correspondence theory in modal
logic. In particular, this leads to an exact characterization of the finite
lattices satisfying these equations.


title: Large-Scale Detection of Non-Technical Losses in Imbalanced Data Sets

abstract:
  Non-technical losses (NTL) such as electricity theft cause significant harm
to our economies, as in some countries they may range up to 40% of the total
electricity distributed. Detecting NTLs requires costly on-site inspections.
Accurate prediction of NTLs for customers using machine learning is therefore
crucial. To date, related research largely ignore that the two classes of
regular and non-regular customers are highly imbalanced, that NTL proportions
may change and mostly consider small data sets, often not allowing to deploy
the results in production. In this paper, we present a comprehensive approach
to assess three NTL detection models for different NTL proportions in large
real world data sets of 100Ks of customers: Boolean rules, fuzzy logic and
Support Vector Machine. This work has resulted in appreciable results that are
about to be deployed in a leading industry solution. We believe that the
considerations and observations made in this contribution are necessary for
future smart meter research in order to report their effectiveness on
imbalanced and large real world data sets.


title: Optimal Boson energy for superconductivity in the Holstein model

abstract:
  We examine the superconducting solution in the Holstein model, where the
conduction electrons couple to the dispersionless Boson fields, using the
Migdal-Eliashberg theory and Dynamical Mean Field Theory. Although different in
numerical values, both methods imply the existence of an optimal Boson energy
for superconductivity at a given electron-Boson coupling. This non-monotonous
behavior can be understood as an interplay between the polaron and
superconducting physics, as the electron-Boson coupling is the origin of the
superconductor, but at the same time traps the conduction electrons making the
system more insulating. Our calculation provides a simple explanation on the
recent experiment on sulfur hydride (H$_2$S), where an optimal pressure for the
superconductivity was observed. The validities of both methods are discussed.


title: The BSM Physics Case of the ILC

abstract:
  In this talk I summarize the physics case of the International Linear
Collider (ILC) focusing on its potential towards discovery, discrimation or
disentanglement of new physics beyond the Standard Model (BSM).


title:
Influence of stability islands in the recurrence of particles in a
  static oval billiard with holes

abstract:
  Statistical properties for the recurrence of particles in an oval billiard
with a hole in the boundary are discussed. The hole is allowed to move in the
boundary under two different types of motion: (i) counterclockwise periodic
circulation with a fixed step length and; (ii) random movement around the
boundary. After injecting an ensemble of particles through the hole we show
that the surviving probability of the particles without recurring - without
escaping - from the billiard is described by an exponential law and that the
slope of the decay is proportional to the relative size of the hole. Since the
phase space of the system exhibits islands of stability we show that there are
preferred regions of escaping in the polar angle, hence given a partial answer
to an open problem: {\it Where to place a hole in order to maximize or minimize
a suitable defined measure of escaping}.


title:
A survey around the Hodge, Tate and Mumford-Tate conjectures for abelian
  varieties

abstract:
  This survey describe Hodge, Tate and Mumford-Tate conjectures for abelian
varieties. After some preliminaries on endomorphism ring, polarization and
algebraic cycles, we state the three conjectures and provide a list of know
results. Finally, we explain some links between these conjectures.


title: On short-term traffic flow forecasting and its reliability

abstract:
  Recent advances in time series, where deterministic and stochastic modelings
as well as the storage and analysis of big data are useless, permit a new
approach to short-term traffic flow forecasting and to its reliability, i.e.,
to the traffic volatility. Several convincing computer simulations, which
utilize concrete data, are presented and discussed.


title: Stable $\mathbb{A}^1$-connectivity over Dedekind schemes

abstract:
  We show that $\mathbb{A}^1$-localization decreases the Nisnevich-stalkwise
connectivity by at most one over a Dedekind scheme with infinite residue
fields. For the proof, we establish a Nisnevich-local version of Gabber's
geometric presentation lemma over a henselian discrete valuation ring with
infinite residue field.


title: Cortical Computation via Iterative Constructions

abstract:
  We study Boolean functions of an arbitrary number of input variables that can
be realized by simple iterative constructions based on constant-size
primitives. This restricted type of construction needs little global
coordination or control and thus is a candidate for neurally feasible
computation. Valiant's construction of a majority function can be realized in
this manner and, as we show, can be generalized to any uniform threshold
function. We study the rate of convergence, finding that while linear
convergence to the correct function can be achieved for any threshold using a
fixed set of primitives, for quadratic convergence, the size of the primitives
must grow as the threshold approaches 0 or 1. We also study finite realizations
of this process and the learnability of the functions realized. We show that
the constructions realized are accurate outside a small interval near the
target threshold, where the size of the construction grows as the inverse
square of the interval width. This phenomenon, that errors are higher closer to
thresholds (and thresholds closer to the boundary are harder to represent), is
a well-known cognitive finding.


title:
Remote Heart Rate Sensing and Projection to Renew Traditional Board
  Games and Foster Social Interactions

abstract:
  While physiological sensors enter the mass market and reach the general
public, they are still mainly employed to monitor health -- whether it is for
medical purpose or sports. We describe an application that uses heart rate
feedback as an incentive for social interactions. A traditional board game has
been "augmented" through remote physiological sensing, using webcams.
Projection helped to conceal the technological aspects from users. We detail
how players reacted -- stressful situations could emerge when users are
deprived from their own signals -- and we give directions for game designers to
integrate physiological sensors.


title: Lorentzian Kac-Moody algebras with Weyl groups of 2-reflections

abstract:
  We describe a new large class of Lorentzian Kac--Moody algebras. For all
ranks, we classify 2-reflective hyperbolic lattices S with the group of
2-reflections of finite volume and with a lattice Weyl vector. They define the
corresponding hyperbolic Kac--Moody algebras of restricted arithmetic type
which are graded by S. For most of them, we construct Lorentzian Kac--Moody
algebras which give their automorphic corrections: they are graded by the S,
have the same simple real roots, but their denominator identities are given by
automorphic forms with 2-reflective divisors. We give exact constructions of
these automorphic forms as Borcherds products and, in some cases, as additive
Jacobi liftings.


title:
A flexible multivariate random effects proportional odds model with
  application to adverse effects during radiation therapy

abstract:
  Radiation therapy in patients with head and neck cancer has a toxic effect on
mucosa, the soft tissue in and around the mouth. Hence mucositis is a serious
common side effect and is a condition characterized by pain and inflammation of
the surface of the mucosa. Although the mucosa recovers during breaks of and
following the radiotherapy course the recovery will depend on the type of
tissue involved and on its location. We present a novel flexible multivariate
random effects proportional odds model which takes account of the longitudinal
course of oral mucositis at different mouth sites and of the radiation dosage
(in terms of cumulative dose). The model is an extension of the {\em
proportional odds model} which is used for ordinal response variables. Our
model includes the ordinal multivariate response of the mucositis score by
location, random intercepts for individuals and includes a non-linear function
of cumulative radiation dose. The model allows to test whether sensitivity
differs by mouth sites after having adjusted for site specific cumulative
radiation dose. The model also allows to check whether and how the (non-linear)
effect of site specific dose differs by site. We fit the model to longitudinal
patient data from a prospective observation and find that after adjusting for
cumulative dose, upper, lower lips and mouth floor are associated with the
lowest mucositis scores and hard and soft palate are associated with the
highest mucositis scores. This implies the possibility that tissues at
different mouth locations differ in their sensitivity to the toxic effect of
radiation. We also find that cumulative dose followed by mouth site are the
strongest predictors of mucositis, and the effects of age and gender are
negligible.


title: Certified Universal Gathering in $R^2$ for Oblivious Mobile Robots

abstract:
  We present a unified formal framework for expressing mobile robots models,
protocols, and proofs, and devise a protocol design/proof methodology dedicated
to mobile robots that takes advantage of this formal framework. As a case
study, we present the first formally certified protocol for oblivious mobile
robots evolving in a two-dimensional Euclidean space. In more details, we
provide a new algorithm for the problem of universal gathering mobile oblivious
robots (that is, starting from any initial configuration that is not bivalent,
using any number of robots, the robots reach in a finite number of steps the
same position, not known beforehand) without relying on a common orientation
nor chirality. We give very strong guaranties on the correctness of our
algorithm by proving formally that it is correct, using the COQ proof
assistant. This result demonstrates both the effectiveness of the approach to
obtain new algorithms that use as few assumptions as necessary, and its
manageability since the amount of developed code remains human readable.


title:
The strong converse theorem for the product-state capacity of quantum
  channels with ergodic Markovian memory

abstract:
  Establishing the strong converse theorem for a communication channel confirms
that the capacity of that channel, that is, the maximum achievable rate of
reliable information communication, is the ultimate limit of communication over
that channel. Indeed, the strong converse theorem for a channel states that
coding at a rate above the capacity of the channel results in the convergence
of the error to its maximum value 1 and that there is no trade-off between
communication rate and decoding error. Here we prove that the strong converse
theorem holds for the product-state capacity of quantum channels with ergodic
Markovian correlated memory.