title:
Expansions of $\tau$ hadronic spectral function moments in a nonpower
  QCD perturbation theory with tamed large order behavior

abstract:
  The moments of the hadronic spectral functions are of interest for the
extraction of the strong coupling $\alpha_s$ and other QCD parameters from the
hadronic decays of the $\tau$ lepton. Motivated by the recent analyses of a
large class of moments in the standard fixed-order and contour-improved
perturbation theories, we consider the perturbative behavior of these moments
in the framework of a QCD nonpower perturbation theory, defined by the
technique of series acceleration by conformal mappings, which simultaneously
implements renormalization-group summation and has a tame large-order behavior.
Two recently proposed models of the Adler function are employed to generate the
higher order coefficients of the perturbation series and to predict the exact
values of the moments, required for testing the properties of the perturbative
expansions. We show that the contour-improved nonpower perturbation theories
and the renormalization-group-summed nonpower perturbation theories have very
good convergence properties for a large class of moments of the so-called
"reference model", including moments that are poorly described by the standard
expansions. The results provide additional support for the plausibility of the
description of the Adler function in terms of a small number of dominant
renormalons.


title: Novel Two-dimensional SiC2 Sheet with Full Pentagon Network

abstract:
  We propose a promising two-dimensional nano-sheet of SiC2 (SiC2-pentagon)
consisting of tetrahedral silicon atoms and triple-linked carbon atoms in a
fully-pentagon network. The SiC2-pentagon with buckled configuration is more
favorable than its planar counterpart and previously proposed SiC2-silagraphene
with tetra-coordinate silicon atoms; and its dynamical stability is confirmed
through phonon analyzing. Buckled SiC2-pentagon is an indirect-band-gap
semiconductor with a gap of 1.388 eV. However, its one-dimensional nanoribbons
can be metals or semiconductors depending on the edge type, shape, and
decoration. Finally, we propose a method to produce the buckled SiC2-pentagon
through chemical exfoliation on the beta-SiC(001)-c(2*2) SDB surface.


title:
An Analytical Prediction of the Bifurcation Scheme of a Clarinet-Like
  Instrument: Effects of Resonator Losses

abstract:
  The understanding of the relationship between excitation parameters
andoscillation regimes is a classical topic concerning bowed stringinstruments.
The paper aims to study the case of reed woodwinds and attemptsto find
consequences on the ease of playing.In the minimum model of clarinet-like
instruments, three parameters areconsidered: i) the mouth pressure, ii) the
reed opening at rest, iii) thelength of the resonator \ assumed to be
cylindrical. Recently asupplementary parameter was added: the loss parameter of
the resonator(using the \textquotedblleft Raman model\textquotedblright, that
considersresonator losses to be independent of frequency). This allowed
explainingthe extinction of sound when the mouth pressure becomes very large.
Thepresent paper presents an extension of the paper by Dalmont et al
(JASA,2005), searching for a diagram of oscillation regimes with respect to
thereed opening and the loss parameter. An alternative method is used,
whichallows easier generalization and simplifies the calculation. The emphasis
is done on the emergencebifurcation: for very strong losses, it can be inverse,
similarly to theextinction one for weak losses. The main part of the
calculations areanalytical, giving clear dependence of the parameters. An
attempt to deducemusical consequences for the player is given.


title:
Energy, decay rate, and effective masses for a moving polaron in a Fermi
  sea: Explicit results in the weakly attractive limit

abstract:
  We study the properties of an impurity of mass $M$ moving through a spatially
homogeneous three-dimensional fully polarized Fermi gas of particles of mass
$m$. In the weakly attractive limit, where the effective coupling constant
$g\to0^-$ and perturbation theory can be used, both for a broad and a narrow
Feshbach resonance, we obtain an explicit analytical expression for the complex
energy $\Delta E(\KK)$ of the moving impurity up to order two included in $g$.
This also gives access to its longitudinal and transverse effective masses
$m_\parallel^*(\KK)$, $m_\perp^*(\KK)$, as functions of the impurity wave
vector $\KK$. Depending on the modulus of $\KK$ and on the impurity-to-fermion
mass ratio $M/m$ we identify four regions separated by singularities in
derivatives with respect to $\KK$ of the second-order term of $\Delta E(\KK)$,
and we discuss the physical origin of these regions. Remarkably, the
second-order term of $m_\parallel^*(\KK)$ presents points of
non-differentiability, replaced by a logarithmic divergence for $M=m$, when
$\KK$ is on the Fermi surface of the fermions. We also discuss the third-order
contribution and relevance for cold atom experiments.


title: Ramsey for complete graphs with dropped cliques

abstract:
  Let $K\_{[k,t]}$ be the complete graph on $k$ vertices from which a set of
edges, induced by a clique of order $t$, has been dropped. In this note we give
two explicit upper bounds for $R(K\_{[k\_1,t\_1]},\dots, K\_{[k\_r,t\_r]})$
(the smallest integer $n$ such that for any $r$-edge coloring of $K\_n$ there
always occurs a monochromatic $K\_{[k\_i,t\_i]}$ for some $i$). Our first upper
bound contains a classical one in the case when $k\_1=\cdots =k\_r$ and
$t\_i=1$ for all $i$. The second one is obtained by introducing a new edge
coloring called {\em $\chi\_r$-colorings}. We finally discuss a conjecture
claiming, in particular, that our second upper bound improves the classical one
in infinitely many cases.


title:
Digital Watermarking for Image AuthenticationBased on Combined DCT, DWT
  and SVD Transformation

abstract:
  This paper presents a hybrid digital image watermarking based on Discrete
Wavelet Transform (DWT), Discrete Cosine Transform (DCT) and Singular Value
Decomposition (SVD) in a zigzag order. From DWT we choose the high band to
embed the watermark that facilities to add more information, gives more
invisibility and robustness against some attacks. Such as geometric attack.
Zigzag method is applied to map DCT coefficients into four quadrants that
represent low, mid and high bands. Finally, SVD is applied to each quadrant.


title:
Possibility of direct observation of edge Majorana modes in quantum
  chains

abstract:
  Several scenarios for realization of edge Majorana modes in quantum chain
systems: spin chains, chains of Josephson junctions, and chains of coupled
cavities in quantum optics, are considered. For all these systems excitations
can be presented as superpositions of a spinless fermion and a hole,
characteristic for Majorana fermion. We discuss the features of our exact
solution with respect to possible experiments, in which edge Majorana fermions
can be directly observed when studying magnetic, superconducting, and optical
characteristics of such systems.


title:
Excitation of fountain and entrainment instabilities at the interface
  between two viscous fluids using a beam of laser light

abstract:
  We report on two instabilities called viscous fountain and viscous
entrainment triggered at the interface between two liquids by the action of
bulk flows driven by a laser beam. These streaming flows are due to light
scattering losses in turbid liquids, and can be directed either toward or
forward the interface. We experimentally and numerically investigate these
interface instabilities and show that the height and curvature of the interface
deformation at the threshold and the jet radius after interface destabilization
mainly depend on the waist of the laser beam. Analogies and differences between
these two instabilities are characterized.


title:
A strongly magnetized pulsar within grasp of the Milky Way's
  supermassive black hole

abstract:
  The center of our Galaxy hosts a supermassive black hole, Sagittarius (Sgr)
A*. Young, massive stars within 0.5 pc of SgrA* are evidence of an episode of
intense star formation near the black hole a few Myr ago, which might have left
behind a young neutron star traveling deep into SgrA*'s gravitational
potential. On 2013 April 25, a short X-ray burst was observed from the
direction of the Galactic center. Thanks to a series of observations with the
Chandra and the Swift satellites, we pinpoint the associated magnetar at an
angular distance of 2.4+/-0.3 arcsec from SgrA*, and refine the source spin
period and its derivative (P=3.7635537(2) s and \dot{P} = 6.61(4)x10^{-12}
s/s), confirmed by quasi simultaneous radio observations performed with the
Green Bank (GBT) and Parkes antennas, which also constrain a Dispersion Measure
of DM=1750+/-50 pc cm^{-3}, the highest ever observed for a radio pulsar. We
have found that this X-ray source is a young magnetar at ~0.07-2 pc from SgrA*.
Simulations of its possible motion around SgrA* show that it is likely (~90%
probability) in a bound orbit around the black hole. The radiation front
produced by the past activity from the magnetar passing through the molecular
clouds surrounding the Galactic center region, might be responsible for a large
fraction of the light echoes observed in the Fe fluorescence features.


title:
Modelling energy spot prices by volatility modulated L\'{e}vy-driven
  Volterra processes

abstract:
  This paper introduces the class of volatility modulated L\'{e}vy-driven
Volterra (VMLV) processes and their important subclass of L\'{e}vy
semistationary (LSS) processes as a new framework for modelling energy spot
prices. The main modelling idea consists of four principles: First,
deseasonalised spot prices can be modelled directly in stationarity. Second,
stochastic volatility is regarded as a key factor for modelling energy spot
prices. Third, the model allows for the possibility of jumps and extreme spikes
and, lastly, it features great flexibility in terms of modelling the
autocorrelation structure and the Samuelson effect. We provide a detailed
analysis of the probabilistic properties of VMLV processes and show how they
can capture many stylised facts of energy markets. Further, we derive forward
prices based on our new spot price models and discuss option pricing. An
empirical example based on electricity spot prices from the European Energy
Exchange confirms the practical relevance of our new modelling framework.


title: Synthesis from Knowledge-Based Specifications

abstract:
  In program synthesis, we transform a specification into a program that is
guaranteed to satisfy the specification. In synthesis of reactive systems, the
environment in which the program operates may behave nondeterministically,
e.g., by generating different sequences of inputs in different runs of the
system. To satisfy the specification, the program needs to act so that the
specification holds in every computation generated by its interaction with the
environment. Often, the program cannot observe all attributes of its
environment. In this case, we should transform a specification into a program
whose behavior depends only on the observable history of the computation. This
is called synthesis with incomplete information. In such a setting, it is
desirable to have a knowledge-based specification, which can refer to the
uncertainty the program has about the environment's behavior. In this work we
solve the problem of synthesis with incomplete information with respect to
specifications in the logic of knowledge and time. We show that the problem has
the same worst-case complexity as synthesis with complete information.


title: Fitting Afterglows With Multi-Dimensional Simulations

abstract:
  We present preliminary data fit results of synthetic light curves computed
from numerical afterglow blast wave simulations. Our technique uses Markov
chain Monte Carlo (MCMC) in a new data analysis tool, ScaleFit. Scaling
relations in both the hydrodynamics and radiation equations allow light curves
to be parameterized by a small set of scale-invariant characteristic
quantities. These quantities have been calculated and tabulated from high
resolution two-dimensional hydrodynamic simulations. Producing a light curve
from the characteristics takes only a millisecond, allowing for the use of MCMC
data fitting techniques which can require millions of iterations. ScaleFit is a
portable, lightweight, python package which performs this analysis on afterglow
light curves. Using the set of Swift-XRT light curves from 2011 & 2012 with
known redshifts, we find ScaleFit can measure the jet opening angle, observer
angle, and spectral index of most afterglows. Globally we find gamma-ray burst
afterglows tend to be observed off axis, at a significant fraction of the jet
opening angle.


title:
Microlensing Discovery of a Tight, Low Mass-ratio Planetary-mass Object
  around an Old, Field Brown Dwarf

abstract:
  Observations of accretion disks around young brown dwarfs have led to the
speculation that they may form planetary systems similar to normal stars. While
there have been several detections of planetary-mass objects around brown
dwarfs (2MASS 1207-3932 and 2MASS 0441-2301), these companions have relatively
large mass ratios and projected separations, suggesting that they formed in a
manner analogous to stellar binaries. We present the discovery of a
planetary-mass object orbiting a field brown dwarf via gravitational
microlensing, OGLE-2012-BLG-0358Lb. The system is a low secondary/primary mass
ratio (0.080 +- 0.001), relatively tightly-separated (~0.87 AU) binary composed
of a planetary-mass object with 1.9 +- 0.2 Jupiter masses orbiting a brown
dwarf with a mass 0.022 M_Sun. The relatively small mass ratio and separation
suggest that the companion may have formed in a protoplanetary disk around the
brown dwarf host, in a manner analogous to planets.


title: Holographic anyonic superfluidity

abstract:
  Starting with a holographic construction for a fractional quantum Hall state
based on the D3-D7' system, we explore alternative quantization conditions for
the bulk gauge fields. This gives a description of a quantum Hall state with
various filling fractions. For a particular alternative quantization of the
bulk gauge fields, we obtain a holographic anyon fluid in a vanishing
background magnetic field. We show that this system is a superfluid, exhibiting
the relevant gapless excitation.


title:
Kondo effect in the Kohn-Sham conductance of multiple levels quantum
  dots

abstract:
  At zero temperature, the Landauer formalism combined with static density
functional theory is able to correctly reproduce the Kondo plateau in the
conductance of the Anderson impurity model provided that an
exchange-correlation potential is used which correctly exhibits steps at
integer occupation. Here we extend this recent finding to multi-level quantum
dots described by the constant-interaction model. We derive the exact
exchange-correlation potential in this model for the isolated dot and deduce an
accurate approximation for the case when the dot is weakly coupled to two
leads. We show that at zero temperature and for non-degenerate levels in the
dot we correctly obtain the conductance plateau for any odd number of electrons
on the dot. We also analyze the case when some of the levels of the dot are
degenerate and again obtain good qualitative agreement with results obtained
with alternative methods. As in the case of a single level, for temperatures
larger than the Kondo temperature, the Kohn-Sham conductance fails to reproduce
the typical Coulomb blockade peaks. This is attributed to {\em dynamical}
exchange-correlation corrections to the conductance originating from
time-dependent density functional theory.


title:
Divergence rates of Markov order estimators and their application to
  statistical estimation of stationary ergodic processes

abstract:
  Stationary ergodic processes with finite alphabets are estimated by finite
memory processes from a sample, an n-length realization of the process, where
the memory depth of the estimator process is also estimated from the sample
using penalized maximum likelihood (PML). Under some assumptions on the
continuity rate and the assumption of non-nullness, a rate of convergence in
$\bar{d}$-distance is obtained, with explicit constants. The result requires an
analysis of the divergence of PML Markov order estimators for not necessarily
finite memory processes. This divergence problem is investigated in more
generality for three information criteria: the Bayesian information criterion
with generalized penalty term yielding the PML, and the normalized maximum
likelihood and the Krichevsky-Trofimov code lengths. Lower and upper bounds on
the estimated order are obtained. The notion of consistent Markov order
estimation is generalized for infinite memory processes using the concept of
oracle order estimates, and generalized consistency of the PML Markov order
estimator is presented.


title: Effective potential for SU(2) Polyakov loops and Wilson loop eigenvalues

abstract:
  We simulate SU(2) gauge theory at temperatures ranging from slightly below
$T_c$ to roughly $2T_c$ for two different values of the gauge coupling. Using a
histogram method, we extract the effective potential for the Polyakov loop and
for the phases of the eigenvalues of the thermal Wilson loop, in both the
fundamental and adjoint representations. We show that the classical potential
of the fundamental loop can be parametrized within a simple model which
includes a Vandermonde potential and terms linear and quadratic in the Polyakov
loop. We discuss how parametrizations for the other cases can be obtained from
this model.


title:
New Physics in $B_{d,s}$-$\Bbar_{d,s}$ mixings and
  $B_{d,s}\to\mu^+\mu^-$ decays

abstract:
  A new way of probing new physics in the $B$ meson system is provided. We
define double ratios for the observables of $B_{d,s}$-$\Bbar_{d,s}$ mixings and
$B_{d,s}\to\mu^+\mu^-$ decays, and find simple relations between the
observables. By using the relations we predict the yet-to-be measured branching
ratio of $B_d\to\mu^+\mu^-$ to be $(0.809\sim1.03)\times 10^{-10}$, up to the
new physics models.


title: Exceptional conformal anomaly of null polygonal Wilson loops

abstract:
  We analyse the breaking of conformal invariance for null polygonal Wilson
loops in ${\cal N}=4$ SYM beyond that induced by the UV divergences due to the
cusps. It only shows up in exceptional configurations, where the polygon
intersects the critical light cone of an inversion or a special conformal
transformation. In comparison with the related study for the Euclidean version
by Drukker and Gross, we find different leading terms both for weak as well as
for strong coupling. Hence the conformal anomaly due to intersections of a null
polygon with a critical light cone defines a new universal function of the
coupling constant.


title: Recurring 3He-rich Solar Energetic Particle Events

abstract:
  Using the SIT instrument aboard STEREO we have examined the abundance of the
3He during the ascending phase of solar cycle 24 from January 2010 through
December 2012. We report on several cases when 3He-rich solar energetic
particle events were successively observed on ACE and STEREO-A with delays
consistent with the Carrington rotation rate. In the investigated period ACE
and STEREO-A were significantly separated in the heliolongitude corresponding
to solar rotation times of 5 to 10 days. We inspect STEREO-A EUV images and use
the potential-field source-surface extrapolations together with in-situ
magnetic field data to identify responsible solar sources. We find the 3He/4He
ratio highly variable in these events and correlated between the spacecraft for
the cases with the same connection region on the Sun.


title: The wireless router based on the linux system

abstract:
  With the expansion of computer networks,the mobile terminal with wireless
access capability experience a sharp increase in the number of wireless
routers, especially low cost wireless routers are becoming very important
network equipment. This paper designs a wireless router based on the ARM
platform, the Linux system. First, there is a research and analysis on the
working principle and implementation of Network Address Translation (NAT)
technology. Then I study the IPTABLES components under the Linux system and use
it when processing data packets which go into the chain and the table and
finally using laptop with Ethernet card and the WIFI card to build the Linux
operating system. Related routing forwarding rules are defined between the two
cards and use IPTABLES to achieve a laptop as a wireless WIFI hotspot providing
routing and network connections to other computer services. It proves this
paper's design, and production feasibility. The paper also discusses the design
and production method of the wireless router with ARM board feasibility.


title: The probability that a random multigraph is simple, II

abstract:
  Consider a random multigraph with given vertex degrees constructed by the
configuration model. We give a new proof of the fact that, asymptotically for a
sequence of such multigraphs with the number of edges tending to infinity, the
probability that the multigraph is simple stays away from 0 if and only if
$\sum d_i^2 = O(\sum d_i)$, where $d_i$ are the vertex degrees. The new proof
uses the method of moments, which makes it possible to use it in some
applications concerning convergence in distribution. Corresponding results for
bipartite graphs are included.


title: Fourier Domain Beamforming: The Path to Compressed Ultrasound Imaging

abstract:
  Sonography techniques use multiple transducer elements for tissue
visualization. Signals detected at each element are sampled prior to digital
beamforming. The sampling rates required to perform high resolution digital
beamforming are significantly higher than the Nyquist rate of the signal and
result in considerable amount of data, that needs to be stored and processed. A
recently developed technique, compressed beamforming, based on the finite rate
of innovation model, compressed sensing (CS) and Xampling ideas, allows to
reduce the number of samples needed to reconstruct an image comprised of strong
reflectors. A drawback of this method is its inability to treat speckle, which
is of significant importance in medical imaging. Here we build on previous work
and extend it to a general concept of beamforming in frequency. This allows to
exploit the low bandwidth of the ultrasound signal and bypass the oversampling
dictated by digital implementation of beamforming in time. Using beamforming in
frequency, the same image quality is obtained from far fewer samples. We next
present a CS-technique that allows for further rate reduction, using only a
portion of the beamformed signal's bandwidth. We demonstrate our methods on in
vivo cardiac data and show that reductions up to 1/28 over standard beamforming
rates are possible. Finally, we present an implementation on an ultrasound
machine using sub-Nyquist sampling and processing. Our results prove that the
concept of sub-Nyquist processing is feasible for medical ultrasound, leading
to the potential of considerable reduction in future ultrasound machines size,
power consumption and cost.


title:
DELPHES 3, A modular framework for fast simulation of a generic collider
  experiment

abstract:
  The version 3.0 of the DELPHES fast-simulation is presented. The goal of
DELPHES is to allow the simulation of a multipurpose detector for
phenomenological studies. The simulation includes a track propagation system
embedded in a magnetic field, electromagnetic and hadron calorimeters, and a
muon identification system. Physics objects that can be used for data analysis
are then reconstructed from the simulated detector response. These include
tracks and calorimeter deposits and high level objects such as isolated
electrons, jets, taus, and missing energy. The new modular approach allows for
greater flexibility in the design of the simulation and reconstruction
sequence. New features such as the particle-flow reconstruction approach,
crucial in the first years of the LHC, and pile-up simulation and mitigation,
which is needed for the simulation of the LHC detectors in the near future,
have also been implemented. The DELPHES framework is not meant to be used for
advanced detector studies, for which more accurate tools are needed. Although
some aspects of DELPHES are hadron collider specific, it is flexible enough to
be adapted to the needs of electron-positron collider experiments.


title:
Study of the Very High Energy emission from Supernova Remnants with
  H.E.S.S

abstract:
  From radio and higher-frequency observations, more than 300 SNRs have been
discovered in the Milky Way, of which 220 fall into the H.E.S.S. Galactic Plane
Survey. However only 50 SNRs are coincident with a H.E.S.S source and in 8
cases the VHE emission is firmly associated with the SNR. The H.E.S.S. dataset
includes now more than 8 years of observations and it is of great interest to
extract VHE flux upper limits from undetected SNRs. These new measurements can
then be used to test the standard paradigm of the SNRs as the origin of
Galactic cosmic rays. In this contribution, the H.E.S.S. results on the
population of SNRs and the subsequent constraints on the cosmic-ray
acceleration efficiency in these sources will be presented.


title: Learning Schemas for Unordered XML

abstract:
  We consider unordered XML, where the relative order among siblings is
ignored, and we investigate the problem of learning schemas from examples given
by the user. We focus on the schema formalisms proposed in [10]: disjunctive
multiplicity schemas (DMS) and its restriction, disjunction-free multiplicity
schemas (MS). A learning algorithm takes as input a set of XML documents which
must satisfy the schema (i.e., positive examples) and a set of XML documents
which must not satisfy the schema (i.e., negative examples), and returns a
schema consistent with the examples. We investigate a learning framework
inspired by Gold [18], where a learning algorithm should be sound i.e., always
return a schema consistent with the examples given by the user, and complete
i.e., able to produce every schema with a sufficiently rich set of examples.
Additionally, the algorithm should be efficient i.e., polynomial in the size of
the input. We prove that the DMS are learnable from positive examples only, but
they are not learnable when we also allow negative examples. Moreover, we show
that the MS are learnable in the presence of positive examples only, and also
in the presence of both positive and negative examples. Furthermore, for the
learnable cases, the proposed learning algorithms return minimal schemas
consistent with the examples.


title:
Communicating Is Crowdsourcing: Wi-Fi Indoor Localization with CSI-based
  Speed Estimation

abstract:
  Numerous indoor localization techniques have been proposed recently to meet
the intensive demand for location based service, and Wi-Fi fingerprint-based
approaches are the most popular and inexpensive solutions. Among them, one of
the main trends is to incorporate the built-in sensors of smartphone and to
exploit crowdsourcing potentials. However the noisy built-in sensors and
multi-tasking limitation of underline OS often hinder the effectiveness of
these schemes. In this work, we propose a passive crowdsourcing CSI-based
indoor localization scheme, C2 IL. Our scheme C2 IL only requires the
locating-device (e.g., a phone) to have a 802.11n wireless connection, and it
does not rely on inertial sensors only existing in some smartphones. C2 IL is
built upon our innovative method to accurately estimate the moving distance
purely based on 802.11n Channel State Information (CSI). Our extensive
evaluations show that the moving distance estimation error of our scheme is
within 3% of the actual moving distance regardless of varying speeds and
environment. Relying on the accurate moving distance estimation as constraints,
we are able to construct a more accurate mapping between RSS fingerprints and
location. To address the challenges of collecting fingerprints, a
crowdsourcing- based scheme is designed to gradually establish the mapping and
populate the fingerprints. In C2 IL, we design a trajectory clustering-based
localization algorithm to provide precise real-time indoor localization and
tracking. We developed and deployed a practical working system of C2 IL in a
large office environment. Extensive evaluation results indicate that our scheme
C2 IL provides accurate localization with error 2m at 80% at very complex
indoor environment with minimal overhead.


title: Speed-Aware Routing for UAV Ad-Hoc Networks

abstract:
  In this paper we examine mobile ad-hoc networks (MANET) composed by unmanned
aerial vehicles (UAVs). Due to the high-mobility of the nodes, these networks
are very dynamic and the existing routing protocols partly fail to provide a
reliable communication. We present Predictive-OLSR an extension to the
Optimized Link-State Routing (OLSR) protocol: it enables efficient routing in
very dynamic conditions. The key idea is to exploit GPS information to aid the
routing protocol. Predictive-OLSR weights the expected transmission count (ETX)
metric, taking into account the relative speed between the nodes. We provide
numerical results obtained by a MAC-layer emulator that integrates a flight
simulator to reproduce realistic flight conditions. These numerical results
show that Predictive-OLSR significantly outperforms OLSR and BABEL, providing a
reliable communication even in very dynamic conditions.


title:
Heavy quark peturbative QCD fragmentation functions in the presence of
  hadron mass

abstract:
  The dominant mechanism to produce hadronic bound states with large transverse
momentum is fragmentation, that is the splitting of a high energy parton into a
hadronic state and other partons. We review the present schemes to calculate
the heavy quark fragmentation functions (FFs) and drive an exact analytical
expression of FF which includes most of the kinematical and dynamical
properties of the process. Using the perturbative QCD, we calculate the FF for
c-quark to split into S-wave D-meson to leading order in the QCD coupling
constant. Our result is compared with the current well-known phenomenological
models which are obtained through a global fit to e+e- data from SLAC SLC and
CERN LEP1 and we also compare the FF with experimental data form BELLE and
CLEO. Specically, we study the effect of outgoing meson mass on the pQCD FF.
Meson masses are responsible for the low-z threshold, where z is the scaled
energy variable.


title:
Role of Dirac cones in magnetotransport properties of REFeAsO (RE=rare
  earth) oxypnictides

abstract:
  In this work we study the effect of the rare earth element in iron
oxypnictides of composition REFeAsO (RE=rare earth). On one hand we carry out
Density Functional Theory calculations of the band structure, which evidence
the multiband character of these compounds and the presence of Dirac cones
along the Y-{\Gamma} and Z-R directions of the reciprocal space. On the other
hand, we explore transport behavior by means of resistivity, Hall resistance
and magnetoresistance measurements, which confirm the dominant role of Dirac
cones. By combining our theoretical and experimental approaches, we extract
information on effective masses, scattering rates and Fermi velocities for
different rare earth elements.


title:
On the necessary conditions for bursts of convection within the rapidly
  rotating cylindrical annulus

abstract:
  Zonal flows are often found in rotating convective systems. Not only are
these jet-flows driven by the convection, they can also have a profound effect
on the nature of the convection. In this work the cylindrical annulus geometry
is exploited in order to perform nonlinear simulations seeking to produce
strong zonal flows and multiple jets. The parameter regime is extended to
Prandtl numbers that are not unity. Multiple jets are found to be spaced
according to a Rhines scaling based on the zonal flow speed, not the convective
velocity speed. Under certain conditions the nonlinear convection appears in
quasi-periodic bursts. A mean field stability analysis is performed around a
basic state containing both the zonal flow and the mean temperature gradient
found from the nonlinear simulations. The convective growth rates are found to
fluctuate with both of these mean quantities suggesting that both are necessary
in order for the bursting phenomenon to occur.


title: Protecting Anti-virus Programs From Viral Attacks

abstract:
  During a fight between viruses and anti-viruses it is not always predictable
that the anti-virus is going to win. There are many malicious viruses which
target to attack and paralyze the anti-viruses. It is necessary for an
anti-virus to detect and destroy the malware before its own files are detected
and destroyed by the malware. The anti-virus may follow thorough testing and
auditing procedures to fix all its bugs before releasing the software in the
market. Besides the anti-virus may use all the obfuscation techniques like
polymorphism that the viruses generally use to hide their codes. This article
also shows how to use TRIZ Inventive Standards to solve the harmful effects of
the viruses on the anti-virus.


title:
Local torsion on abelian surfaces with real multiplication by
  $\mathbf{Q}(\sqrt{5})$

abstract:
  Fix an integer $d>0$. In 2008, David and Weston showed that, on average, an
elliptic curve over $\mathbf{Q}$ picks up a nontrivial $p$-torsion point
defined over a finite extension $K$ of the $p$-adics of degree at most $d$ for
only finitely many primes $p$. This paper proves an analogous averaging result
for principally polarized abelian surfaces over $\mathbf{Q}$ with real
multiplication by $\mathbf{Q}(\sqrt{5})$ and a level-$\sqrt{5}$ structure.
Furthermore, we indicate how the result on abelian surfaces with real
multiplication by $\mathbf{Q}(\sqrt{5})$ relates to the deformation theory of
modular Galois representations.


title:
A relation of the PAH 3.3 um feature with star-forming activity for
  galaxies with a wide range of infrared luminosity

abstract:
  For star-forming galaxies, we investigate a global relation between
polycyclic aromatic hydrocarbon (PAH) emission luminosity at 3.3 um, L_PAH3.3,
and infrared (8-1000 um) luminosity, L_IR, to understand how the PAH 3.3 um
feature relates to the star formation activity. With AKARI, we performed
near-infrared (2.5-5 um) spectroscopy of 184 galaxies which have L_IR \sim 10^8
- 10^13 L_sun. We classify the samples into infrared galaxies (IRGs; L_IR <
10^11 L_sun), luminous infrared galaxies (LIRGs; L_IR \sim 10^11 -10^12 L_sun)
and ultra luminous infrared galaxies (ULIRGs; L_IR > 10^12 L_sun). We exclude
sources which are likely contaminated by AGN activity, based on the rest-frame
equivalent width of the PAH emission feature (< 40 nm) and the power-law index
representing the slope of continuum emission (Gamma > 1; F_nu \propto
lambda^Gamma). Of these samples, 13 IRGs, 67 LIRGs and 20 ULIRGs show PAH
emission feature at lambda_rest= 3.3 um in their spectra. We find that the
L_PAH3.3/L_IR ratio considerably decreases toward the luminous end. Utilizing
the mass and temperature of dust grains as well as the BrAlpha emission for the
galaxies, we discuss the cause of the relative decrease in the PAH emission
with L_IR.


title: Computability of Probability Distributions and Characteristic Functions

abstract:
  As a part of our works on effective properties of probability distributions,
we deal with the corresponding characteristic functions. A sequence of
probability distributions is computable if and only if the corresponding
sequence of characteristic functions is computable. As for the onvergence
problem, the effectivized Glivenko's theorem holds. Effectivizations of
Bochner's theorem and de Moivre-Laplace central limit theorem are also proved.


title:
Evolutionary search for new high-k dielectric materials: methodology and
  applications to hafnia-based oxides

abstract:
  High-k dielectric materials are important as gate oxides in microelectronics
and as potential dielectrics for capacitors. In order to enable computational
discovery of novel high-k dielectric materials, we propose a fitness model
(energy storage density) that includes the dielectric constant, bandgap, and
intrinsic breakdown field. This model, used as fitness function in conjunction
with first-principles calculations and global optimization evolutionary
algorithm USPEX, efficiently leads to practically important results. We found a
number of high-fitness structures of SiO2 and HfO2, some of which correspond to
known phases and some are new. The results allow us to propose characteristics
(genes) common to high-fitness structures - these are the coordination
polyhedra and their degree of distortion. Our variable-composition searches in
the HfO2-SiO2 system uncovered several high-fitness states. This hybrid
algorithm opens up a new avenue of discovering novel high-k dielectrics with
both fixed and variable compositions, and will speed up the process of
materials discovery.


title: Percolation in Multiplex Networks with Overlap

abstract:
  From transportation networks to complex infrastructures, and to social and
communication networks, a large variety of systems can be described in terms of
multiplexes formed by a set of nodes interacting through different networks
(layers). Multiplexes may display an increased fragility with respect to the
single layers that constitute them. However, so far the overlap of the links in
different layers has been mostly neglected, despite the fact that it is an
ubiquitous phenomenon in most multiplexes. Here we show that the overlap among
layers can improve the robustness of interdependent multiplex systems and
change the critical behavior of the percolation phase transition in a complex
way.


title: Electronic Visualisation in Chemistry: From Alchemy to Art

abstract:
  Chemists now routinely use software as part of their work. For example,
virtual chemistry allows chemical reactions to be simulated. In particular, a
selection of software is available for the visualisation of complex
3-dimensional molecular structures. Many of these are very beautiful in their
own right. As well as being included as illustrations in academic papers, such
visualisations are often used on the covers of chemistry journals as
artistically decorative and attractive motifs. Chemical images have also been
used as the basis of artworks in exhibitions. This paper explores the
development of the relationship of chemistry, art, and IT. It covers some of
the increasingly sophisticated software used to generate these projections
(e.g., UCSF Chimera) and their progressive use as a visual art form.


title:
Consistent description of the electronic structure of SrVO$_{3}$ within
  GW+DMFT

abstract:
  We present a detailed calculation of the electronic structure of SrVO$_{3}$
based on the GW+DMFT method. We show that a proper inclusion of the
frequency-dependent Hubbard U and the nonlocal self-energy via the GW
approximation, as well as a careful treatment of the Fermi level, are crucial
for obtaining an accurate and coherent picture of the quasi-particle band
structure and satellite features of SrVO$_{3}$. The GW+DMFT results for
SrVO$_{3}$ are not attainable within the GW approximation or the LDA+DMFT
scheme.


title: Energetic particle cross-field propagation early in a solar event

abstract:
  Solar energetic particles (SEPs) have been observed to easily spread across
heliographic longitudes, and the mechanisms responsible for this behaviour
remain unclear. We use full-orbit simulations of a 10 MeV proton beam in a
turbulent magnetic field to study to what extent the spread across the mean
field can be described as diffusion early in a particle event. We compare the
full-orbit code results to solutions of a Fokker-Planck equation including
spatial and pitch angle diffusion, and of one including also propagation of the
particles along random-walking magnetic field lines. We find that propagation
of the particles along meandering field lines is the key process determining
their cross-field spread at 1 AU at the beginning of the simulated event. The
mean square displacement of the particles an hour after injection is an order
of magnitude larger than that given by the diffusion model, indicating that
models employing spatial cross-field diffusion cannot be used to describe early
evolution of an SEP event. On the other hand, the diffusion of the particles
from their initial field lines is negligible during the first 5 hours, which is
consistent with the observations of SEP intensity dropouts. We conclude that
modelling SEP events must take into account the particle propagation along
meandering field lines for the first 20 hours of the event.


title: Biclique Covers and Partitions

abstract:
  The biclique cover number (resp. biclique partition number) of a graph $G$,
$\mathrm{bc}(G$) (resp. $\mathrm{bp}(G)$), is the least number of biclique
(complete bipartite) subgraphs that are needed to cover (resp. partition) the
edges of $G$. The \emph{local biclique cover number} (resp. local biclique
partition number) of a graph $G$, $\mathrm{lbc}(G$) (resp. $\mathrm{lbp}(G)$),
is the least $r$ such that there is a cover (resp. partition) of the edges of
$G$ by bicliques with no vertex in more than $r$ of these bicliques. We show
that $\mathrm{bp}(G)$ may be bounded in terms of $\mathrm{bc}(G)$, in
particular, $\mathrm{bp}(G)\leq \frac{1}{2}(3^\mathrm{bc(G)}-1)$. However, the
analogous result does not hold for the local measures. Indeed, in our main
result, we show that $\mathrm{lbp}(G)$ can be arbitrarily large, even for
graphs with $\mathrm{lbc}(G)=2$. For such graphs, $G$, we try to bound
$\mathrm{lbp}(G)$ in terms of additional information about biclique covers of
$G$. We both answer and leave open questions related to this. There is a well
known link between biclique covers and subcube intersection graphs. We consider
the problem of finding the least $r(n)$ for which every graph on $n$ vertices
can be represented as a subcube intersection graph in which every subcube has
dimension $r$. We reduce this problem to the much studied question of finding
the least $d(n)$ such that every graph on $n$ vertices is the intersection
graph of subcubes of a $d$-dimensional cube.


title:
Experimentally accessing the optimal temporal mode of traveling quantum
  light states

abstract:
  The characterization or subsequent use of propagating optical quantum state
requires the knowledge of its precise temporal mode. Defining this mode
structure very often relies on a detailed a priori knowledge of the used
resources, when available, and can additionally call for an involved
theoretical modeling. In contrast, here we investigate a practical method
enabling to infer the optimal temporal mode directly from experimental data
acquired via homodyne detection, without any assumptions on the state. The
approach is based on a multimode analysis using eigenfunction expansion of the
autocorrelation function. This capability is illustrated by experimental data
from Fock states and Schrodinger cat-like state preparation.


title: Time-Series Classification Through Histograms of Symbolic Polynomials

abstract:
  Time-series classification has attracted considerable research attention due
to the various domains where time-series data are observed, ranging from
medicine to econometrics. Traditionally, the focus of time-series
classification has been on short time-series data composed of a unique pattern
with intraclass pattern distortions and variations, while recently there have
been attempts to focus on longer series composed of various local patterns.
This study presents a novel method which can detect local patterns in long
time-series via fitting local polynomial functions of arbitrary degrees. The
coefficients of the polynomial functions are converted to symbolic words via
equivolume discretizations of the coefficients' distributions. The symbolic
polynomial words enable the detection of similar local patterns by assigning
the same words to similar polynomials. Moreover, a histogram of the frequencies
of the words is constructed from each time-series' bag of words. Each row of
the histogram enables a new representation for the series and symbolize the
existence of local patterns and their frequencies. Experimental evidence
demonstrates outstanding results of our method compared to the state-of-art
baselines, by exhibiting the best classification accuracies in all the datasets
and having statistically significant improvements in the absolute majority of
experiments.


title:
Non-Gaussian Mat\'ern fields with an application to precipitation
  modeling

abstract:
  The recently proposed non-Gaussian Mat\'{e}rn random field models, generated
through Stochastic Partial differential equations (SPDEs), are extended by
considering the class of Generalized Hyperbolic processes as noise forcings.
The models are also extended to the standard geostatistical setting where
irregularly spaced observations are modeled using measurement errors and
covariates. A maximum likelihood estimation technique based on the Monte Carlo
Expectation Maximization (MCEM) algorithm is presented, and it is shown how the
model can be used to do predictions at unobserved locations. Finally, an
application to precipitation data over the United States for two month in 1997
is presented, and the performance of the non-Gaussian models is compared with
standard Gaussian and transformed Gaussian models through cross-validation.


title:
A Compact Thermal Heat Switch for Cryogenic Space Applications Operating
  near 100 K

abstract:
  A thermal heat switch has been developed intended for cryogenic space
applications operating around 100 K. The switch was designed to separate two
pulse tube cold heads that cool a common focal plane array. Two cold heads are
used for redundancy reasons, while the switch is used to reduce the thermal
heat loss of the stand-by cold head, thus limiting the required input power,
weight and dimensions of the cooler assembly. After initial evaluation of
possible switching technologies, a construction based on the thermal expansion
coefficient (CTE) of different materials was chosen. A simple design is
proposed based on thermoplasts which have one of the highest CTE known
permitting a relative large gap width in the open state. Furthermore, the
switch requires no power neither during normal operation nor for switching.
This enhances reliability and allows for a simple mechanical design. After a
single switch was successfully built, a second doubleswitch configuration was
designed and tested. The long term performance of the chosen thermoplast
(ultra-high molecular weight polyethylene) under cryogenic load is also
analysed.


title: HI in HO: Hoag's object revisited

abstract:
  We present new HI observations of Hoag's Object obtained with the Westerbork
Synthesis Radio Telescope (WSRT). The data show that the luminous optical ring
around the elliptical body has a bright HI counterpart that shares the
kinematical properties of the optical ring. The entire HI structure is twice as
large as the optical ring and shows a mild warp in its outer regions relative
to the inner ring. We detect two additional HI sources close in redshift to
that of Hoag's Object, and report on a newly identified SDSS optical companion
galaxy. The HI sources are ~0.3 and ~1 Mpc away in projected distance, and the
companion galaxy is also ~1 Mpc away. Our main conclusion is that the HI
detected in Hoag's Object shows no indication that this galaxy has experienced
a recent (less than ~1 Gyr ago) accretion event. At least one of the two
additional HI detected objects does not have an optical counterpart. One
possibility is that this object is an HI filament left over from an interaction
shaping Hoag's Object, in which case this interaction must also have occurred
at least 1-2 Gyr ago.


title:
Inventions on reducing number of keys on a Computer Keyboard -- A TRIZ
  based analysis

abstract:
  A computer keyboard consists of several sections and each section consists of
several numbers of keys. The text entry section contains the standard character
keys, navigation section contains cursor movement and page control keys,
numeric keypad contains numeric keys and function keys section contain function
keys and special keys. Although the increased number of keys helps smooth
interaction with a computer there are situations where it is necessary to
reduce the number of keys.
  The need for reducing number of keys in a keyboard creates a technical
contradiction. Generally more number of keys can support more number of
functions and less number of keys can support less number of functions. We need
more number of functions (all the functions available in a full size keyboard),
but we want only less number of keys (Contradiction). This contradiction has
been solved by using multi-stroke mechanism.
  There may be different purposes to reduce the number of keys in a keyboard.
Some of them intend to reduce the size of the keyboard while some others intend
to increase the speed of typing. But all of these inventions use multi-stroke
mechanism to generate more number of signals from less number of keys.


title:
Experiment Anti-Helium (Production of Nuclei and Anti-Nuclei. Limits for
  "exotic" particles of long lifetime)

abstract:
  Data are recalled on the relative yields of charged pions,charged
kaons,protons,antiprotons,tritiun nuclei, anti-tritium, He3 nuclei and anti-He3
antinuclei produced at 0 degrees by 200-240 GeV/c protons on Beryllium and
Aluminium targets. A search for the production of long-lived particles with
charges 2/3, 1, 4/3, is described; for negative particle production the upper
limits obtained at the 95% Confidence Level were at the level of 10-11 with
respect to the production of known particles.


title: The flux-dependent X-ray time lags in NGC 4051

abstract:
  We present an analysis of the X-ray time lags for the highly variable Seyfert
1 galaxy NGC 4051, based on a series of XMM-Newton observations taken in 2009.
We investigate the Fourier frequency dependent time lags in the light curves
between the 0.3--1.0 keV and 2.0--5.0 keV energy bands as a function of source
flux, including simultaneous modelling of the resulting lag-frequency spectra.
We find the shape of the lag-frequency spectra to vary significantly and
systematically with source flux. We model the lag-frequency spectra using
simple transfer functions, and find that two time lag components are required,
one in each energy band. The simplest acceptable fits have only the relative
contribution of the lagged component in the hard band varying with flux level,
which can be associated with changes in the energy spectrum. We discuss the
interpretation of these results in terms of the currently popular models for
X-ray time lags.


title: Inventions on Soft Keyboards -- A TRIZ Based Analysis

abstract:
  The soft keyboards are onscreen representation of physical keyboard having
alphanumeric characters and other controls. The user operates the soft keyboard
with the mouse, a stylus or other pointing device. The soft keys dont have any
mechanical component.
  The soft keyboards are used in many public places for informational purpose,
educational systems and financial transactional systems. A soft keyboard is
convenient in some cases where a hard keyboard is difficult to manage. The soft
keyboard is a substitute of a physical keyboard and is displayed on the screen.
It displays the same type of alphanumeric and control keys like the keys on the
actual keyboard.
  There are many inventions on a soft keyboard which makes the soft keyboard
more efficient and effective. This article illustrates some inventions on soft
keyboards from US patent database.


title:
Effect of Spatial Interference Correlation on the Performance of Maximum
  Ratio Combining

abstract:
  While the performance of maximum ratio combining (MRC) is well understood for
a single isolated link, the same is not true in the presence of interference,
which is typically correlated across antennas due to the common locations of
interferers. For tractability, prior work focuses on the two extreme cases
where the interference power across antennas is either assumed to be fully
correlated or fully uncorrelated. In this paper, we address this shortcoming
and characterize the performance of MRC in the presence of spatially-correlated
interference across antennas. Modeling the interference field as a Poisson
point process, we derive the exact distribution of the signal-to-interference
ratio (SIR) for the case of two receive antennas, and upper and lower bounds
for the general case. Using these results, we study the diversity behavior of
MRC and characterize the critical density of simultaneous transmissions for a
given outage constraint. The exact SIR distribution is also useful in
benchmarking simpler correlation models. We show that the full-correlation
assumption is considerably pessimistic (up to 30% higher outage probability for
typical values) and the no-correlation assumption is significantly optimistic
compared to the true performance.


title:
Onsager-Kraichnan Condensation in Decaying Two-Dimensional Quantum
  Turbulence

abstract:
  Despite the prominence of Onsager's point-vortex model as a statistical
description of 2D classical turbulence, a first-principles development of the
model for a realistic superfluid has remained an open problem. Here we develop
a mapping of a system of quantum vortices described by the homogeneous 2D
Gross-Pitaevskii equation (GPE) to the point-vortex model, enabling Monte-Carlo
sampling of the vortex microcanonical ensemble. We use this approach to survey
the full range of vortex states in a 2D superfluid, from the vortex-dipole gas
at positive temperature to negative-temperature states exhibiting both
macroscopic vortex clustering and kinetic energy condensation, which we term an
Onsager-Kraichnan condensate (OKC). Damped GPE simulations reveal that such OKC
states can emerge dynamically, via aggregation of small-scale clusters into
giant OKC-clusters, as the end states of decaying 2D quantum turbulence in a
compressible, finite-temperature superfluid. These statistical equilibrium
states should be accessible in atomic Bose-Einstein condensate experiments.


title:
Conic singularities metrics with prescribed Ricci curvature: the case of
  general cone angles along normal crossing divisors

abstract:
  Let $X$ be a non-singular compact K\"ahler manifold, endowed with an
effective divisor $D= \sum (1-\beta_k) Y_k$ having simple normal crossing
support, and satisfying $\beta_k \in (0,1)$. The natural objects one has to
consider in order to explore the differential-geometric properties of the pair
$(X, D)$ are the so-called metrics with conic singularities. In this article,
we complete our earlier work \cite{CGP} concerning the Monge-Amp\`ere equations
on $(X, D)$ by establishing Laplacian and ${\mathscr C}^{2,\alpha, \beta}$
estimates for the solution of this equations regardless to the size of the
coefficients $0<\beta_k< 1$. In particular, we obtain a general theorem
concerning the existence and regularity of K\"ahler-Einstein metrics with conic
singularities along a normal crossing divisor.


title: Mixed norm estimates for Hermite multipliers

abstract:
  In this article mixed norm estimates are obtained for some integral
operators, from which those for the Hermite semigroup and the Bochner Riesz
means associated with the Hermite expansions are deduced. Also, mixed norm
estimates for the Littlewood Paley g functions and g* functions for the Hermite
expansions are obtained, which lead to those for Hermite multipliers


title: Eigenvalue asymptotics for the damped wave equation on metric graphs

abstract:
  We consider the linear damped wave equation on finite metric graphs and
analyse its spectral properties with an emphasis on the asymptotic behaviour of
eigenvalues. In the case of equilateral graphs and standard coupling conditions
we show that there is only a finite number of high-frequency abscissas, whose
location is solely determined by the averages of the damping terms on each
edge. We further describe some of the possible behaviour when the edge lengths
are no longer necessarily equal but remain commensurate.


title: Inventions on Keyboard Illumination - A TRIZ Based Analysis

abstract:
  The conventional computers are not usable in dark, as the user cannot see the
keyboard to operate properly. But there are many situations where the user may
like to work on his computer under low light conditions, such as, during
nights, while traveling in flights/ trains having low lights, working in the
garden during evening etc. So it is necessary to provide some light to the
laptop to operate the keyboard under low light situations.
  Luminescence of the keyboard is a desirable feature for portable computers.
There may be several methods to illuminate the keyboard, the most crude may be
carrying an external light and fixing at a point where it can light the
keyboard. But solutions like this are not very convenient. The inventors have
been looking for better solutions. This article analyses 6 patents on keyboard
illumination.
  A good illumination system do not consume more battery, do not increase the
size and weight of the laptop, do not increase heat inside the laptop box, and
do not cost much to manufacture. The light should uniformly illuminate the
whole keyboard and should not throw light on other areas that are not required.


title:
Measurement of $J/\psi$ polarization in $pp$ collisions at $\sqrt{s}=7$
  TeV

abstract:
  An angular analysis of the decay $J/\psi \rightarrow \mu^{+} \mu^{-}$ is
performed to measure the polarization of prompt $J/\psi$ mesons produced in
$pp$ collisions at $\sqrt{s}=7\; \mathrm{TeV}$. The dataset corresponds to an
integrated luminosity of 0.37 fb$^{-1}$ collected with the LHCb detector. The
measurement is presented as a function of transverse momentum, $p_\mathrm{T}$,
and rapidity, $y$, of the $J/\psi$ meson, in the kinematic region $2 <
p_\mathrm{T} < 15\; \mathrm{GeV}/c$ and $2.0<y<4.5$.


title: Codes over a weighted torus

abstract:
  We define weighted projective Reed-Muller codes over a subset of weighted
projective space over a finite field. We focus on the case when the set X is a
projective weighted torus. We show that the vanishing ideal of X is a lattice
ideal and relate it with the lattice ideal of a minimal presentation of the
semigroup algebra of Q, the numerical semigroup generated by the weights of the
projective space. We compute the index of regularity of the vanishing ideal as
function of the weights and the Frobenius number of Q. We compute the basic
parameters of weighted projective Reed-Muller codes over a 1-dimensional
weighted torus and prove they are maximum distance separable codes.


title: Julia's equation and differential transcendence

abstract:
  We show that the iterative logarithm of each non-linear entire function is
differentially transcendental over the ring of entire functions, and we give a
sufficient criterion for such an iterative logarithm to be differentially
transcendental over the ring of convergent power series.


title: Multi-scale gravity and cosmology

abstract:
  The gravitational dynamics and cosmological implications of three classes of
recently introduced multi-scale spacetimes (with, respectively, ordinary,
weighted and q-derivatives) are discussed. These spacetimes are non-Riemannian:
the metric structure is accompanied by an independent measure-differential
structure with the characteristics of a multi-fractal, namely, different
dimensionality at different scales and, at ultra-short distances, a discrete
symmetry known as discrete scale invariance. Under this minimal paradigm, five
general features arise: (a) the big-bang singularity can be replaced by a
finite bounce, (b) the cosmological constant problem is reinterpreted, since
accelerating phases can be mimicked by the change of geometry with the time
scale, without invoking a slowly rolling scalar field, (c) the discreteness of
geometry at Planckian scales can leave an observable imprint of logarithmic
oscillations in cosmological spectra and (d) give rise to an alternative
mechanism to inflation or (e) to a fully analytic model of cyclic mild
inflation, where near scale invariance of the perturbation spectrum can be
produced without strong acceleration. Various properties of the models and
exact dynamical solutions are discussed. In particular, the multi-scale
geometry with weighted derivatives is shown to be a Weyl integrable spacetime.


title:
Analytical transformed harmonic oscillator basis for three-body nuclei
  of astrophysical interest: Application to 6He

abstract:
  Recently, a square-integrable discrete basis, obtained performing a simple
analytical local scale transformation to the harmonic oscillator basis, has
been proposed and successfully applied to study the properties of two-body
systems. Here, the method is generalized to study three-body systems. To test
the goodness of the formalism and establish its applicability and limitations,
the capture reaction rate for the nucleosynthesis of the Borromean nucleus 6He
(4He + n + n) is addressed. Results are compared with previous publications and
with calculations based on actual three-body continuum wave functions, which
can be generated for this simple case. The obtained results encourage the
application to other Borromean nuclei of astrophysical interest such as 9Be and
12C, for which actual three-body continuum calculations are very involved.


title:
Associating long-term gamma-ray variability with the superorbital period
  of LS I 61 303

abstract:
  Gamma-ray binaries are stellar systems for which the spectral energy
distribution (discounting the thermal stellar emission) peaks at high energies.
Detected from radio to TeV gamma rays, the gamma-ray binary LS I 61 303 is
highly variable across all frequencies. One aspect of this system's variability
is the modulation of its emission with the timescale set by the ~26.4960-day
orbital period. Here we show that, during the time of our observations, the
gamma-ray emission of LS I 61 303 also presents a sinusoidal variability
consistent with the previously-known superorbital period of 1667 days. This
modulation is more prominently seen at orbital phases around apastron, whereas
it does not introduce a visible change close to periastron. It is also found in
the appearance and disappearance of variability at the orbital period in the
power spectrum of the data. This behavior could be explained by a
quasi-cyclical evolution of the equatorial outflow of the Be companion star,
whose features influence the conditions for generating gamma rays. These
findings open the possibility to use gamma-ray observations to study the
outflows of massive stars in eccentric binary systems.


title: Hydrodynamic limit in a particle system with topological interactions

abstract:
  We study a system of particles in the interval $[0,\epsilon^{-1}] \cap
\mathbb Z$, $\epsilon^{-1}$ a positive integer. The particles move as symmetric
independent random walks (with reflections at the endpoints); simultaneously
new particles are injected at site 0 at rate $j\epsilon$ ($j>0$) and removed at
same rate from the rightmost occupied site. The removal mechanism is therefore
of topological rather than metric nature. The determination of the rightmost
occupied site requires a knowledge of the entire configuration and prevents
from using correlation functions techniques. We prove using stochastic
inequalities that the system has a hydrodynamic limit, namely that under
suitable assumptions on the initial configurations, the law of the density
fields $\epsilon \sum \phi(\epsilon x) \xi_{\epsilon^{-2}t}(x)$ ($\phi$ a test
function, $\xi_t(x)$ the number of particles at site $x$ at time $t$)
concentrates in the limit $\epsilon\to 0$ on the deterministic value $\int \phi
\rho_t$, $\rho_t$ interpreted as the limit density at time $t$. We characterize
the limit $\rho_t$ as a weak solution in terms of barriers of a limit free
boundary problem.

categories: math.PR cond-mat.stat-mech math-ph math.MP


title: {\mu}SR and NMR study of the superconducting Heusler compound YPd2Sn

abstract:
  We report on muon spin rotation/relaxation and $^{119}$Sn nuclear magnetic
resonance (NMR) measurements to study the microscopic superconducting and
magnetic properties of the Heusler compound with the highest superconducting
transition temperature, \ypd\ ($T_c=5.4$ K). Measurements in the vortex state
provide the temperature dependence of the effective magnetic penetration depth
$\lambda(T)$ and the field dependence of the superconducting gap $\Delta(0)$.
The results are consistent with a very dirty s-wave BCS superconductor with a
gap $\Delta(0)=0.85(3)$ meV, $\lambda(0)= 212(1)$ nm, and a Ginzburg-Landau
coherence length $\xi_{\mathrm{GL}}(0)\cong 23$ nm. In spite of its very dirty
character, the effective density of condensed charge carriers is high compared
to the normal state. The \mSR data in a broad range of applied fields are well
reproduced by taking into account a field-related reduction of the effective
superconducting gap. Zero-field \mSR measurements, sensitive to the possible
presence of very small magnetic moments, do not show any indications of
magnetism in this compound.


title:
Small Generalized Breathers with Exponentially Small Tails for
  Klein-Gordon Equations

abstract:
  We consider a class of nonlinear Klein-Gordon equation $u_{tt}=u_{xx}-u+f(u)$
and show that generically there exist small breathers with exponentially small
tails.


title:
Linear stability analysis of magnetized relativistic jets: the
  nonrotating case

abstract:
  We perform a linear analysis of the stability of a magnetized relativistic
non-rotating cylindrical flow in the aproximation of zero thermal pressure,
considering only the m = 1 mode. We find that there are two modes of
instability: Kelvin-Helmholtz and current driven. The Kelvin-Helmholtz mode is
found at low magnetizations and its growth rate depends very weakly on the
pitch parameter. The current driven modes are found at high magnetizations and
the value of the growth rate and the wavenumber of the maximum increase as we
decrease the pitch parameter. In the relativistic regime the current driven
mode is splitted in two branches, the branch at high wavenumbers is
characterized by the eigenfunction concentrated in the jet core, the branch at
low wavenumbers is instead characterized by the eigenfunction that extends
outside the jet velocity shear region.


title:
Progressive Enlargements of Filtrations with Pseudo-Honest Times and
  their Applications in Financial Mathematics

abstract:
  We deal with various alternative decompositions of F-martingales with respect
to the filtration G which represents the enlargement of a filtration F by a
progressive flow of observations of a random time that either belongs to the
class of pseudo-honest times or satisfies the extended density hypothesis.
Several related results from the existing literature are essentially extended.
Results on G-semimartingale decompositions of F-local martingales are crucial
for applications in financial mathematics, most notably in the context of
modeling credit risk and the study of insider trading where the enlargements of
filtration play a vital role. We outline two potential applications of our
results to specific problems arising in financial mathematics.


title: Elemental and tight monogamy relations in nonsignalling theories

abstract:
  Physical principles constrain the way nonlocal correlations can be
distributed among distant parties. These constraints are usually expressed by
monogamy relations that bound the amount of Bell inequality violation observed
among a set of parties by the violation observed by a different set of parties.
We prove here that much stronger monogamy relations are possible for
nonsignalling correlations by showing how nonlocal correlations among a set of
parties limit any form of correlations, not necessarily nonlocal, shared among
other parties. In particular, we provide tight bounds between the violation of
a family of Bell inequalities among an arbitrary number of parties and the
knowledge an external observer can gain about outcomes of any single
measurement performed by the parties. Finally, we show how the obtained
monogamy relations offer an improvement over the existing protocols for
device-independent quantum key distribution and randomness amplification.


title: The number of fixed points of Wilf's partition involution

abstract:
  Wilf partitions are partitions of an integer $n$ in which all nonzero
multiplicities are distinct. On his webpage, the late Herbert Wilf posed the
problem to find "any interesting theorems" about the number f(n) of those
partitions. Recently, Fill, Janson and Ward (and independently Kane and
Rhoades) determined an asymptotic formula for $\log f(n)$. Since the original
motivation for studying Wilf partitions was the fact that the operation that
interchanges part sizes and multiplicities is an involution on the set of Wilf
partitions, they mentioned as an open problem to determine a similar asymptotic
formula for the number of fixed points of this involution, which we denote by
F(n). In this short note, we show that the method of Fill, Janson and Ward also
applies to F(n). Specifically, we obtain the asymptotic formula $\log F(n) \sim
\frac12 \log f(n)$.


title: Heat and work distributions for mixed Gauss-Cauchy process

abstract:
  We analyze energetics of a non-Gaussian process described by a stochastic
differential equation of the Langevin type. The process represents a
paradigmatic model of a nonequilibrium system subject to thermal fluctuations
and additional external noise, with both sources of perturbations considered as
additive and statistically independent forcings. We define thermodynamic
quantities for trajectories of the process and analyze contributions to
mechanical work and heat. As a working example we consider a particle subjected
to a drag force and two independent Levy white noises with stability indices
$\alpha=2$ and $\alpha=1$. The fluctuations of dissipated energy (heat) and
distribution of work performed by the force acting on the system are addressed
by examining contributions of Cauchy fluctuations to either bath or external
force acting on the system.


title:
Identification of a diffusion coefficient in strongly degenerate
  parabolic equations with interior degeneracy

abstract:
  We study two identification problems in relation with a strongly degenerate
parabolic diffusion equation characterized by a vanishing diffusion coefficient
$u\in W^{1,\infty},$ with the property $\frac{1}{u}\notin L^{1}. $ The aim is
to identify $u$ from certain observations on the solution, by a technique of
nonlinear optimal control with control in coefficients. The existence of a
controller $u$ which is searched in $% W^{1,\infty}$ and the determination of
the optimality conditions are given for homogeneous Dirichlet boundary
conditions. An approximating problem further introduced allows a better
characterization of the optimality conditions, due to the supplementary
regularity of the approximating state and dual functions and to a convergence
result. Finally, an identification problem with final time observation and
homogeneous Dirichlet-Neumann boundary conditions in the state system is
considered. By using more technical arguments we provide the explicit form of
$u$ and its uniqueness.


title: Faraday and Cotton-Mouton Effects of Helium at $\lambda = 1064$ nm

abstract:
  We present measurements of the Faraday and the Cotton-Mouton effects of
helium gas at $\lambda =~1064$\,nm. Our apparatus is based on an up-to-date
resonant optical cavity coupled to longitudinal and transverse magnetic fields.
This cavity increases the signal to be measured by more than a factor of
270\,000 compared to the one acquired after a single path of light in the
magnetic field region. We have reached a precision of a few percent both for
Faraday effect and Cotton-Mouton effect. Our measurements give for the first
time the experimental value of the Faraday effect at $\lambda$=\,1064\,nm. This
value is compatible with the theoretical prediction. Concerning Cotton-Mouton
effect, our measurement is the second reported experimental value at this
wavelength, and the first to agree at better than 1$\sigma$ with theoretical
predictions.


title: Spin Drag of a Fermi Gas in a Harmonic Trap

abstract:
  Using a Boltzmann equation approach, we analyze how the spin drag of a
trapped interacting fermionic mixture is influenced by the non-homogeneity of
the system in a classical regime where the temperature is much larger than the
Fermi temperature. We show that for very elongated geometries, the spin damping
rate can be related to the spin conductance of an infinitely long cylinder. We
characterize analytically the spin conductance both in the hydrodynamic and
collisionless limits and discuss the influence of the velocity profile. Our
results are in good agreement with recent experiments and provide a
quantitative benchmark for further studies of spin drag in ultracold gases.


title: Regular Ultrapowers at Regular Cardinals

abstract:
  In earlier work of the second and third author the equivalence of a finite
square principle square^fin_{lambda,D} with various model theoretic properties
of structures of size lambda and regular ultrafilters was established. In this
paper we investigate the principle square^fin_{lambda,D}, and thereby the above
model theoretic properties, at a regular cardinal. By Chang's Two-Cardinal
Theorem, square^fin_{lambda,D} holds at regular cardinals for all regular
filters D if we assume GCH. In this paper we prove in ZFC that for certain
regular filters that we call "doubly^+ regular", square^fin_{lambda,D} holds at
regular cardinals, with no assumption about GCH. Thus we get new positive
answers in ZFC to Open Problems 18 and 19 in the book "Model Theory" by Chang
and Keisler.


title:
Photoinduced features of energy band gap in quaternary Cu2CdGeS4
  crystals

abstract:
  Quaternary chalcogenide crystal Cu2CdGeS4 was studied both experimentally and
theoretically in the present paper. Investigations of polarized fundamental
absorption spectra demonstrated a high sensitivity to external light
illumination. The photoinduced changes were studied using the cw 532 nm green
laser with energy density about 0.4 J/cm2. The spectral maximum of the
photoinduced anisotropy was observed at spectral energies equal to about 1.4 eV
(energy gap equal to about 1.85 eV) corresponding to maximal density of the
intrinsic defect levels. Spectroscopic measurements were performed for
polarized and un-polarized photoinducing laser light to separate contribution
of the intrinsic defect states from the pure states of the valence and
conduction bands. To understand the origin of the observed photoinduced
absorption near the fundamental edge, the benchmark first-principles
calculations of the structural, electronic, optical and elastic properties of
Cu2CdGeS4 were performed in the general gradient approximation (GGA) and local
density approximation (LDA) approaches. The calculated dielectric function and
optical absorption spectra exhibit some anisotropic behavior within the
0.15...0.20 eV energy range near the absorption edge; the optical anisotropy
was also found in the deep inter-band transition spectral range. Peculiar
features of chemical bonds in Cu2CdGeS4 were revealed by studying the electron
density distribution. Possible intrinsic defects are shown to affect
considerably the optical absorption spectra. Pressure effects on the structural
and electronic properties were modeled by optimizing the crystal structure and
calculating all relevant properties at elevated hydrostatic pressure. The first
estimations of the bulk modulus (69 GPa (GGA) or 91 GPa (LDA)) and its pressure
derivative for Cu2CdGeS4 are reported.


title: Concentration of the Kirchhoff index for Erdos-Renyi graphs

abstract:
  Given an undirected graph, the resistance distance between two nodes is the
resistance one would measure between these two nodes in an electrical network
if edges were resistors. Summing these distances over all pairs of nodes yields
the so-called Kirchhoff index of the graph, which measures its overall
connectivity. In this work, we consider Erdos-Renyi random graphs. Since the
graphs are random, their Kirchhoff indices are random variables. We give
formulas for the expected value of the Kirchhoff index and show it concentrates
around its expectation. We achieve this by studying the trace of the
pseudoinverse of the Laplacian of Erdos-Renyi graphs. For synchronization (a
class of estimation problems on graphs) our results imply that acquiring
pairwise measurements uniformly at random is a good strategy, even if only a
vanishing proportion of the measurements can be acquired.


title: Self similar sets, entropy and additive combinatorics

abstract:
  This article is an exposition of recent results on self-similar sets,
asserting that if the dimension is smaller than the trivial upper bound then
there are almost overlaps between cylinders. We give a heuristic derivation of
the theorem using elementary arguments about covering numbers. We also give a
short introduction to additive combinatorics, focusing on inverse theorems,
which play a pivotal role in the proof. Our elementary approach avoids many of
the technicalities in the original proof but also falls short of a complete
proof. In the last section we discuss how the heuristic argument is turned into
a rigorous one.


title: Composite Weak Bosons at the Large Hadron Collider

abstract:
  In a composite model of the weak bosons the excited bosons, in particular the
p-wave bosons, are studied. The state with the lowest mass is identified with
the boson, which has been discovered recently at the "Large Hadron Collider" at
CERN. Specific properties of the excited weak bosons are studied, in particular
their decays into weak bosons and into photons.


title: Higgs quartic coupling and neutrino sector evolution in 2UED models

abstract:
  Two compact universal extra dimensional models are an interesting class of
models for different theoretical and phenomenological issues, such as the
justification of having three standard model fermion families, suppression of
proton decay rate, dark matter parity from relics of the 6-dimensional Lorentz
symmetry, origin of masses and mixings in the standard model. However, these
theories are merely effective ones, with typically a reduced range of validity
in their energy scale. We explore two limiting cases of the three standard
model generations all propagating in the bulk or all localised to a brane, from
the point of view of renormalisation group equation evolutions for the Higgs
sector and for the neutrino sector of these models. The recent experimental
results of the Higgs boson from the LHC allow, in some scenarios, stronger
constraints on the cut-off scale to be placed, from the requirement of the
stability of the Higgs potential.


title:
Lamellar and inverse micellar structures of skin lipids: Effect of
  templating

abstract:
  The outermost layer of skin, the stratum corneum (SC), comprises rigid
corneocytes in a layered lipid matrix. Using atomistic simulations we find that
the equilibrium phase of the SC lipids is inverse micellar. A model of the
corneocyte is used to demonstrate that lamellar layering is induced by the
patterned corneocyte wall. The inverse micellar phase is consistent with in
vivo observations in the lacunar spaces and at the stratum granulosum - SC
boundary region, and suggests a functional role in the lipid synthesis pathway
in vivo.


title:
One modification of the martingale transform and its applications to
  paraproducts and stochastic integrals

abstract:
  In this paper we introduce a variant of Burkholder's martingale transform
associated with two martingales with respect to different filtrations. Even
though the classical martingale techniques cannot be applied, we show that the
discussed transformation still satisfies some expected $\mathrm{L}^p$
estimates. Then we apply the obtained inequalities to general-dilation twisted
paraproducts, particular instances of which have already appeared in the
literature. As another application we construct stochastic integrals
$\int_{0}^{t}H_s d(X_s Y_s)$ associated with certain continuous-time
martingales $(X_t)_{t\geq 0}$ and $(Y_t)_{t\geq 0}$. The process $(X_t
Y_t)_{t\geq 0}$ is shown to be a "good integrator", although it is not
necessarily a semimartingale, or even adapted to any convenient filtration.


title: Large resistivity change and phase transition in LiMnAs

abstract:
  Antiferromagnetic semiconductors are new alternative materials for spintronic
applications and spin valves. In this work, we report a detailed investigation
of two antiferromagnetic semiconductors AMnAs (A = Li, LaO), which are
isostructural to the well-known LiFeAs and LaOFeAs superconductors. Here we
present a comparison between the structural, magnetic, and electronic
properties of LiMnAs, LaOMnAs and related materials. Interestingly, both LiMnAs
and LaOMnAs show a variation in resistivity with more than five orders of
magnitude, making them particularly suitable for use in future electronic
devices. From neutron and X-ray diffraction measurements on LiMnAs we have
observed a magnetic phase transition corresponding to the Neel temperature of
373.8 K, and a structural transition from the tetragonal to the cubic phase at
768 K. These experimental results are supported by density functional theory
(DFT) calculations.


title: Surface optical phonon scattering in N-polar GaN quantum well channels

abstract:
  N-polar GaN channel mobility is important for high frequency device
applications. In this Letter, we report the theoretical calculations on the
surface optical (SO) phonon scattering rate of two-dimensional electron gas
(2-DEG) in N-polar GaN quantum well channels with high-k dielectrics. The
effect of SO phonons on 2-DEG mobility was found to be small at >5 nm channel
thickness. However, the SO mobility in 3 nm N-polar GaN channels with high-k
dielectrics is low and limits the total mobility. The SO scattering for SiNx
dielectric GaN was found to be negligible due to its high SO phonon energy.


title:
Relative Performance of a Multi-level Cache with Last-Level Cache
  Replacement: An Analytic Review

abstract:
  Current day processors employ multi-level cache hierarchy with one or two
levels of private caches and a shared last-level cache (LLC). An efficient
cache replacement policy at LLC is essential for reducing the off-chip memory
transfer as well as conflict for memory bandwidth. Cache replacement techniques
for inclusive LLCs may not be efficient for multilevel cache as it can be
shared by enormous applications with varying access behavior, running
simultaneously. One application may dominate another by flooding of cache
requests and evicting the useful data of the other application. From the
performance point of view, an exclusive LLC make the replacement policies more
demanding, as compared to an inclusive LLC. This paper analyzes some of the
existing replacement techniques on the LLC with their performance assessment.


title:
Population splitting, trapping, and non-ergodicity in heterogeneous
  diffusion processes

abstract:
  We consider diffusion processes with a spatially varying diffusivity giving
rise to anomalous diffusion. Such heterogeneous diffusion processes are
analysed for the cases of exponential, power-law, and logarithmic dependencies
of the diffusion coefficient on the particle position. Combining analytical
approaches with stochastic simulations, we show that the functional form of the
space-dependent diffusion coefficient and the initial conditions of the
diffusing particles are vital for their statistical and ergodic properties. In
all three cases a weak ergodicity breaking between the time and ensemble
averaged mean squared displacements is observed. We also demonstrate a
population splitting of the time averaged traces into fast and slow diffusers
for the case of exponential variation of the diffusivity as well as a particle
trapping in the case of the logarithmic diffusivity. Our analysis is
complemented by the quantitative study of the space coverage, the diffusive
spreading of the probability density, as well as the survival probability.


title: An Algorithm Enumerating All Infinite Repetitions in a D0L System

abstract:
  We describe a simple algorithm which, for a given D0L system, returns all
factors $v$ such that $v^k$ is in the language of the system for all $k$. This
algorithm can be used to decide whether a D0L system is repetitive.


title: A cryptographic image encryption technique for facial-blurring of images

abstract:
  Protection of faces in pictures and videos of people in connection with
sensitive information, activism, abused cases and others on public broadcasting
media and social net- works is very important. On social networks like
YouTube,facebook, Twitter and others, videos are being posted with blurring
techniques of which some of them cannot be recoverable. Most blurring
techniques used can easily be recoverable using off-the-shelf software. The
ones that are difficult to be recovered also can easily be used by abusers and
ther wrong doers.
  This paper proposes an image encryption technique that will make it possible
for selected facial area to be encrypted based on RGB pixel shuffling of an m*n
size image. This will make it difficult for off-the-shelf software to restore
the ncrypted image and also make it easy for the law enforcement agencies to
reconstruct the face back in case the picture or video is related to an abuse
case. The implementation of the encryption method will be done using MATLAB. At
the and, there will be no change in the total size of the image during
encryption and decryption process.


title: Storing non-uniformly distributed messages in networks of neural cliques

abstract:
  Associative memories are data structures that allow retrieval of stored
messages from part of their content. They thus behave similarly to human brain
that is capable for instance of retrieving the end of a song given its
beginning. Among different families of associative memories, sparse ones are
known to provide the best efficiency (ratio of the number of bits stored to
that of bits used). Nevertheless, it is well known that non-uniformity of the
stored messages can lead to dramatic decrease in performance. We introduce
several strategies to allow efficient storage of non-uniform messages in
recently introduced sparse associative memories. We analyse and discuss the
methods introduced. We also present a practical application example.


title:
First Beam Observation and Near Future Plans at SPring-8 LEPS2
  Experiments

abstract:
  The first photon beam was successfully produced by laser Compton
backscattering at the LEPS2 beamline, which was newly constructed at SPring-8
for the purpose to increase the beam intensity one order of magnitude more than
that of the LEPS experiments and to achieve the large acceptance coverage with
high resolution detectors. The BGOegg electromagnetic calorimeter with
associated detectors are being set up at the LEPS2 experimental building for
the physics programs, including the searches for $\eta$'-bound nuclei and
highly excited baryon resonances. In parallel to the BGOegg experiments, the
LEPS2 charged particle spectrometer will be prepared inside the 1 Tesla
solenoidal magnet, transported from the BNL-E949 experiment.


title:
Solutions with a uniform time of existence of a class of characteristic
  semi-linear wave equations near S+

abstract:
  We prove existence and uniqueness of solution of a class of semi-linear wave
equations with initial data prescribed on the light-cone with vertex the origin
of a Minkowski space-time. The nonlinear term is assumed to satisfy a nullity
condition which guarantee that the neighborhood of the initial cone on which we
obtain our solution does not shrink to zero as one approaches infinity. This
result is applied to wave maps on Minkowski space-time $\R^{n+1}$ with $n\ge
3$.


title:
Modeling the Evolution and Distribution of the Frequency's Second
  Derivative and Braking Index of Pulsar Spin with Simulations

abstract:
  We model the evolution of spin frequency's second derivative $\ddot\nu$ and
braking index $n$ of radio pulsars with simulations within the phenomenological
model of their surface magnetic field evolution, which contains a long-term
decay modulated by short-term oscillations. For the pulsar PSR B0329+54, the
model can reproduce the main characteristics of its $\ddot\nu$ variation with
oscillation periods, predicts another $\sim 50$ yr oscillation component and
another recent swing of the sign of $\ddot\nu$. We show that the "averaged" $n$
is different from the instantaneous $n$, and its oscillation magnitude
decreases abruptly as the time span increases, due to the "averaging" effect.
The simulation predicted timing residuals agree with the main features of the
reported data. We further perform Monte Carlo simulations for the distribution
of the reported data in $|\ddot\nu|$ versus characteristic age $\tau_{\rm c}$
diagram. The model with a power law index $\alpha=0.5$ can reproduce the slope
of the linear fit to pulsars' distributions in the diagrams of
$\log|\ddot\nu|-\log\tau_{\rm c}$ and $\log|n|-\log\tau_{\rm c}$, but the
oscillations are responsible for the almost equal number of positive and
negative values of $\ddot\nu$, in agreement with our previous analytical
studies; an oscillation period of about several decades is also preferred.
However the range of the oscillation amplitudes is $-11.4\lesssim\log
f\lesssim-10.2$, slightly lager than the analytical prediction, $\log
f\simeq-11.85$, because the "averaging" effect was not included previously.


title: Fixed Parameter Complexity and Approximability of Norm Maximization

abstract:
  The problem of maximizing the $p$-th power of a $p$-norm over a
halfspace-presented polytope in $\R^d$ is a convex maximization problem which
plays a fundamental role in computational convexity. It has been shown in 1986
that this problem is $\NP$-hard for all values $p \in \mathbb{N}$, if the
dimension $d$ of the ambient space is part of the input. In this paper, we use
the theory of parametrized complexity to analyze how heavily the hardness of
norm maximization relies on the parameter $d$.
  More precisely, we show that for $p=1$ the problem is fixed parameter
tractable but that for all $p \in \mathbb{N} \setminus \{1\}$ norm maximization
is W[1]-hard.
  Concerning approximation algorithms for norm maximization, we show that for
fixed accuracy, there is a straightforward approximation algorithm for norm
maximization in FPT running time, but there is no FPT approximation algorithm,
the running time of which depends polynomially on the accuracy.
  As with the $\NP$-hardness of norm maximization, the W[1]-hardness
immediately carries over to various radius computation tasks in Computational
Convexity.


title: Metric deformation and boundary value problems in 3D

abstract:
  A novel perturbative method, proposed by Panda {\it et al.} [1] to solve the
Helmholtz equation in two dimensions, is extended to three dimensions for
general boundary surfaces. Although a few numerical works are available in the
literature for specific domains in three dimensions such a general analytical
prescription is presented for the first time. An appropriate transformation is
used to get rid of the asymmetries in the domain boundary by mapping the
boundary into an equivalent sphere with a deformed interior metric. The
deformed metric produces new source terms in the original homogeneous equation.
A deformation parameter measuring the deviation of the boundary from a
spherical one is introduced as a perturbative parameter. With the help of
standard Rayleigh-Schr{\"o}dinger perturbative technique the transformed
equation is solved and the general solution is written down in a closed form at
each order of perturbation. The solutions are boundary condition free and which
make them widely applicable for various situations. Once the boundary
conditions are applied to these general solutions the eigenvalues and the
wavefunctions are obtained order by order. The efficacy of the method has been
tested by comparing the analytic values against the numerical ones for three
dimensional enclosures of various shapes. The method seems to work quite well
for these shapes for both, Dirichlet as well as Neumann boundary conditions.
The usage of spherical harmonics to express the asymmetries in the boundary
surfaces helps us to consider a wide class of domains in three dimensions and
also their fast convergence guarantees the convergence of the perturbative
series for the energy. Direct applications of this method can be found in the
field of quantum dots, nuclear physics, acoustical and electromagnetic
cavities.


title: The resolvent algebra: Ideals and dimension

abstract:
  Let (X,\sigma) be a symplectic space admitting a complex structure and let
R(X,\sigma) be the corresponding resolvent algebra, i.e. the C*-algebra
generated by the resolvents of selfadjoint operators satisfying canonical
commutation relations associated with (X,\sigma). In previous work this algebra
was shown to provide a convenient framework for the analysis of quantum
systems. In the present article its mathematical properties are elaborated with
emphasis on its ideal structure. It is shown that R(X,\sigma) is always nuclear
and, if X is finite dimensional, also of type I (postliminal). In the latter
case dim(X) labels the isomorphism classes of the corresponding resolvent
algebras. For X of arbitrary dimension, principal ideals are identified which
are the building blocks for all other ideals. The maximal and minimal ideals of
the resolvent algebra are also determined.


title:
Boosting the concordance index for survival data - a unified framework
  to derive and evaluate biomarker combinations

abstract:
  The development of molecular signatures for the prediction of time-to-event
outcomes is a methodologically challenging task in bioinformatics and
biostatistics. Although there are numerous approaches for the derivation of
marker combinations and their evaluation, the underlying methodology often
suffers from the problem that different optimization criteria are mixed during
the feature selection, estimation and evaluation steps. This might result in
marker combinations that are only suboptimal regarding the evaluation criterion
of interest. To address this issue, we propose a unified framework to derive
and evaluate biomarker combinations. Our approach is based on the concordance
index for time-to-event data, which is a non-parametric measure to quantify the
discrimatory power of a prediction rule. Specifically, we propose a
component-wise boosting algorithm that results in linear biomarker combinations
that are optimal with respect to a smoothed version of the concordance index.
We investigate the performance of our algorithm in a large-scale simulation
study and in two molecular data sets for the prediction of survival in breast
cancer patients. Our numerical results show that the new approach is not only
methodologically sound but can also lead to a higher discriminatory power than
traditional approaches for the derivation of gene signatures.


title: Domain Wall Motion in Thin-Film Magnets/ Topological Insulator Junctions

abstract:
  We derive the equations of motion of a Domain Wall in a thin-film magnet
coupled to the surface states of a Topological Insulator in the presence of of
both an electric field along the Domain Wall and a magnetic field perpendicular
to the junction. We show how the electric field acts as a chirality stabilizer
holding off the appearance of Walker breakdown and enhancing the terminal
velocity. We also propose a mechanism to reverse the Domain Wall chirality in a
controllable manner by tuning the chiral current flowing through the Wall. An
input from a weak perpendicular magnetic field is required in order to break
the reflection symmetry that protects the degeneracy of the chirality vacuum.


title: Numerical simulations of time resolved quantum electronics

abstract:
  This paper discusses the technical aspects - mathematical and numerical -
associated with the numerical simulations of a mesoscopic system in the time
domain (i.e. beyond the single frequency AC limit). After a short review of the
state of the art, we develop a theoretical framework for the calculation of
time resolved observables in a general multiterminal system subject to an
arbitrary time dependent perturbation (oscillating electrostatic gates, voltage
pulses, time-vaying magnetic fields) The approach is mathematically equivalent
to (i) the time dependent scattering formalism, (ii) the time resolved Non
Equilibrium Green Function (NEGF) formalism and (iii) the partition-free
approach. The central object of our theory is a wave function that obeys a
simple Schrodinger equation with an additional source term that accounts for
the electrons injected from the electrodes. The time resolved observables
(current, density. . .) and the (inelastic) scattering matrix are simply
expressed in term of this wave function. We use our approach to develop a
numerical technique for simulating time resolved quantum transport. We find
that the use of this wave function is advantageous for numerical simulations
resulting in a speed up of many orders of magnitude with respect to the direct
integration of NEGF equations. Our technique allows one to simulate realistic
situations beyond simple models, a subject that was until now beyond the
simulation capabilities of available approaches.