title:
A hierarchical network heuristic for solving the orientation problem in
  genome assembly

abstract:
  In the past several years, the problem of genome assembly has received
considerable attention from both biologists and computer scientists. An
important component of current assembly methods is the scaffolding process.
This process involves building ordered and oriented linear collections of
contigs (continuous overlapping sequence reads) called scaffolds and relies on
the use of mate pair data. A mate pair is a set of two reads that are sequenced
from the ends of a single fragment of DNA, and therefore have opposite mutual
orientations. When two reads of a mate-pair are placed into two different
contigs, one can infer the mutual orientation of these contigs. While several
orientation algorithms exist as part of assembly programs, all encounter
challenges while solving the orientation problem due to errors from
mis-assemblies in contigs or errors in read placements. In this paper we
present an algorithm based on hierarchical clustering that independently solves
the orientation problem and is robust to errors. We show that our algorithm can
correctly solve the orientation problem for both faux (generated) assembly data
and real assembly data for {\em R. sphaeroides bacteria}. We demonstrate that
our algorithm is stable to both changes in the initial orientations as well as
noise in the data, making it advantageous compared to traditional approaches.


title:
Magnetic scattering and electron pair breaking by rare-earth-ion
  substitution in BaFe2As2 epitaxial films

abstract:
  The effect of electron doping by trivalent charge state rare-earth ion (RE =
La, Ce, Pr, and Nd) substitutions on the superconductivity in BaFe2As2 was
examined using epitaxial films. Each of the RE substitutions suppressed the
resistivity anomaly associated with the magnetic/structural phase transitions,
leading to the resistivity drops and superconductivity transitions. Bulk
superconductivity was observed at the maximum onset critical temperature
(Tconset) of 22.4 K for La-doping and 13.4 K for Ce-doping, while only broad
resistivity drops were observed at 6.2 K for Pr-doping and 5.8 K for Nd-doping
but neither zero resistivity nor distinct Meissner effect were observed at
least down to 2 K. The decrease in Tconset with increasing the number of RE 4f
electrons cannot be explained in terms of the crystalline qualities or
crystallographic structure parameters of the BaFe2As2 films. It was clarified,
based on resistivity-temperature analyses, that magnetic scattering became
increasingly significant in the above order of the RE dopants. The negative
magnetoresistance was enhanced by the Ce- and Pr-doping, implying that the
decrease in Tc originates from magnetic pair breaking by interaction of the
localized 4f orbitals in the RE dopants with the itinerant Fe 3d orbitals.


title:
Checking the validity of truncating the cumulant hierarchy description
  of a small system

abstract:
  We analyze the behavior of the first few cumulant in an array with a small
number of coupled identical particles. Desai and Zwanzig (J. Stat. Phys., {\bf
19}, 1 (1978), p. 1) studied noisy arrays of nonlinear units with global
coupling and derived an infinite hierarchy of differential equations for the
cumulant moments. They focused on the behavior of infinite size systems using a
strategy based on truncating the hierarchy. In this work we explore the
reliability of such an approach to describe systems with a small number of
elements. We carry out an extensive numerical analysis of the truncated
hierarchy as well as numerical simulations of the full set of Langevin
equations governing the dynamics. We find that the results provided by the
truncated hierarchy for finite systems are at variance with those of the
Langevin simulations for large regions of parameter space. The truncation of
the hierarchy leads to a dependence on initial conditions and to the
coexistence of states which are not consistent with the theoretical
expectations based on the multidimensional linear Fokker-Planck equation for
finite arrays.


title: Probing the scale of New Physics at the LHC: the example of Higgs data

abstract:
  We present a technique to determine the scale of New Physics (NP) compatible
with any set of data, relying on well-defined credibility intervals. Our
approach relies on the statistical view of the effective field theory capturing
New Physics at low energy. We introduce formally the notion of testable NP and
show that it ensures integrability of the posterior distribution. We apply our
method to the Standard Model Higgs sector in light of recent LHC data,
considering two generic scenarios. In the scenario of democratic higher
dimensional operators generated at one-loop, we find the testable NP scale to
lie within $[10,260]$ TeV at $95\%$ Bayesian credibility level. In the scenario
of loop-suppressed field strength-Higgs operators, the testable NP scale is
within $[28,1200]$ TeV at $95\%$ Bayesian credibility level. More specific UV
models are necessary to allow lower values of the NP scale.


title:
The VIMOS VLT Deep Survey final data release: a spectroscopic sample of
  35016 galaxies and AGN out to z~6.7 selected with 17.5<=i_{AB}<=24.7

abstract:
  We describe the completed VIMOS VLT Deep Survey, and the final data release
of 35016 galaxies and type-I AGN with measured spectroscopic redshifts up to
redshift z~6.7, in areas 0.142 to 8.7 square degrees, and volumes from 0.5x10^6
to 2x10^7h^-3Mpc^3. We have selected samples of galaxies based solely on their
i-band magnitude reaching i_{AB}=24.75. Spectra have been obtained with VIMOS
on the ESO-VLT, integrating 0.75h, 4.5h and 18h for the Wide, Deep, and
Ultra-Deep nested surveys. A total of 1263 galaxies have been re-observed
independently within the VVDS, and from the VIPERS and MASSIV surveys. They are
used to establish the redshift measurements reliability, to assess
completeness, and to provide a weighting scheme taking into account the survey
selection function. We describe the main properties of the VVDS samples, and
the VVDS is compared to other spectroscopic surveys. In total we have obtained
spectroscopic redshifts for 34594 galaxies, 422 type-I AGN, and 12430 Galactic
stars. The survey has enabled to identify galaxies up to very high redshifts
with 4669 redshifts in 1<=z_{spec}<=2, 561 in 2<=z_{spec}<=3 and 468 with
z_{spec}>3, and specific populations like LAE have been identified out to
z=6.62. We show that the VVDS occupies a unique place in the parameter space
defined by area, depth, redshift coverage, and number of spectra. The VVDS
provides a comprehensive survey of the distant universe, covering all epochs
since z, or more than 12 Gyr of cosmic time, with a uniform selection, the
largest such sample to date. A wealth of science results derived from the VVDS
have shed new light on the evolution of galaxies and AGN, and their
distribution in space, over this large cosmic time. A final public release of
the complete VVDS spectroscopic redshift sample is available at
http://cesam.lam.fr/vvds.


title:
Spin-controlled superconductivity and tunable triplet correlations in
  graphene nanostructures

abstract:
  We study graphene ferromagnet/superconductor/ferromagnet (F/S/F)
nanostructures via a microscopic self-consistent Dirac Bogoliubov-de Gennes
formalism. We show that as a result of proximity effects, experimentally
accessible spin switching phenomena can occur as one tunes the Fermi level
$\mu_F$ of the F regions or varies the angle $\theta$ between exchange field
orientations. Superconductivity can then be switched on and off by varying
either $\theta$ or $\mu_F$ (a spin-controlled superconducting graphene switch).
The induced equal-spin triplet correlations in S can be controlled by tuning
$\mu_F$, effectively making a graphene based two-dimensional spin-triplet
valve.


title:
Suzaku Detection of Thermal X-Ray Emission Associated with the Western
  Radio Lobe of Fornax A

abstract:
  We present the results of X-ray mapping observations of the western radio
lobe of the Fornax A galaxy, using the X-ray Imaging Spectrometer (XIS) onboard
the Suzaku satellite with a total exposure time of 327 ks. The purpose of this
study is to investigate the nature and spatial extent of the diffuse thermal
emission around the lobe by exploiting the low and stable background of the
XIS. The diffuse thermal emission had been consistently reported in all
previous studies of this region, but its physical nature and relation to the
radio lobe had not been examined in detail. Using the data set covering the
entire western lobe and the central galaxy NGC 1316, as well as comparison sets
in the vicinity, we find convincingly the presence of thermal plasma emission
with a temperature of ~1 keV in excess of conceivable background and
contaminating emission (cosmic X-ray background, Galactic halo, intra-cluster
gas of Fornax, interstellar gas of NGC 1316, and the ensemble of point-like
sources). Its surface brightness is consistent with having a spherical
distribution peaking at the center of the western lobe with a projected radius
of ~12 arcmin. If the volume filling factor of the thermal gas is assumed to be
unity, its estimated total mass amounts to ~10^{10} M_sun, which would be
~10^{2} times that of the central black hole and comparable to that of the
current gas mass of the host galaxy. Its energy density is comparable to or
larger than those in the magnetic field and non-thermal electrons responsible
for the observed radio and X-ray emission.


title: The Heliometer of Rio de Janeiro in Operation - 2013 Calibration

abstract:
  Here the preliminary results of the calibration of the heliometric angle of
the Heliometer in Rio de Janeiro are presented. They have been made in 2013
with a reference surveying rod, equipped with two metal spheres acting as
artificial star, when illuminated by the Sun, and with the method of drift-scan
timing.


title:
Sturmian theory of three-body recombination: application to the
  formation of H$_2$ in primordial gas

abstract:
  A Sturmian theory of three-body recombination is presented which provides a
unified treatment of bound states, quasi-bound states, and continuum states.
The Sturmian representation provides a numerical quadrature of the two-body
continuum which may be used to generate a complete set of states within any
desired three-body recombination pathway. Consequently, the dynamical
calculation may be conveniently formulated using the simplest energy transfer
mechanism, even for reactive systems which allow substantial rearrangement. The
Sturmian theory generalizes the quantum kinetic theory of Snider and Lowry [J.
Chem. Phys. 61, 2330 (1974)] to include metastable states which are formed as
independent species. Steady-state rate constants are expressed in terms of a
pathway-independent part plus a non-equilibrium correction which depends on
tunneling lifetimes and pressure. Numerical results are presented for H$_2$
recombination due to collisions with H and He using quantum mechanical coupled
states and infinite order sudden approximations. These results may be used to
remove some of the uncertainties that have limited astrophysical simulations of
primordial star formation.


title: Wave-Style Token Machines and Quantum Lambda Calculi (Long Version)

abstract:
  Particle-style token machines are a way to interpret proofs and programs,
when the latter are defined according to the principles of linear logic. In
this paper, we show that token machines also make sense when the programs at
hand are those of a simple linear quantum $\lambda$-calculus. This, however,
requires generalizing the concept of a token machine to one in which more than
one particle can possibly travel around the term at the same time. This is
intimately related to entanglement and allows to give a simple operational
semantics to the calculus coherently with the principles of quantum
computation.


title:
More Evidence for the Intermediate Broad Line Region of the Mapped AGN
  PG 0052+251

abstract:
  In the manuscript, the properties of the proposed intermediate BLR are
checked for the mapped AGN PG 0052+251. With the considerations of the apparent
effects of the broad He {\sc ii} line on the observed broad H$\beta$ profile,
the line parameters (especially the line width and the line flux) of the
observed broad H$\alpha$ and the broad H$\beta$ are carefully determined. Based
on the measured line parameters, the model with two broad components applied
for each observed broad balmer line is preferred, and then confirmed by the
calculated much different time lags for the inner/intermediate broad components
and the corresponding virial BH masses ratio determined by the properties of
the inner and the intermediate broad components. Then, the correlation between
the broad line width and the broad line flux is checked for the two broad
components: one clearly strong negative correlation for the inner broad
component, but one positive correlation for the intermediate broad component.
The different correlations for the two broad components strongly support the
intermediate BLR of PG0052+251.


title:
Comment to : Uncertainty in the Multielemental Quantification by
  Total-Reflection X-ray Fluorescence: Theoretical and Empirical Approximation

abstract:
  This work describes an error in the uncertainty assessment of uncertainties
of the Total-Reflection X-ray Fluorescence technique Ref [1]. A confusion,
between the precision and accuracy of a measurement produced an incomplete
evaluation of the uncertainties of the technique.


title:
A Robust Stability Condition for Subhomogeneous Cooperative Time-delay
  Systems

abstract:
  A preliminary result on Subhomogeneous Cooperative Time-delay Systems,
subject to revision.


title:
On Delay-independent Stability of a class of Nonlinear Positive
  Time-delay Systems

abstract:
  We present a condition for delay-independent stability of a class of
nonlinear positive systems. This result applies to systems that are not
necessarily monotone and extends recent work on cooperative nonlinear systems.


title:
An Application of Joint Spectral Radius in Power Control Problem for
  Wireless Communications

abstract:
  Resource management, including power control, is one of the most essential
functionalities of any wireless telecommunication system. Various transmitter
power-control methods have been developed to deliver a desired quality of
service in wireless networks. We consider two of these methods: Distributed
Power Control and Distributed Balancing Algorithm schemes. We use the concept
of joint spectral radius to come up with conditions for convergence of the
transmitted power in these two schemes when the gains on all the communications
links are assumed to vary at each time-step.


title: The Complexity of Counting Homomorphisms to Cactus Graphs Modulo 2

abstract:
  A homomorphism from a graph G to a graph H is a function from V(G) to V(H)
that preserves edges. Many combinatorial structures that arise in mathematics
and computer science can be represented naturally as graph homomorphisms and as
weighted sums of graph homomorphisms. In this paper, we study the complexity of
counting homomorphisms modulo 2. The complexity of modular counting was
introduced by Papadimitriou and Zachos and it has been pioneered by Valiant who
famously introduced a problem for which counting modulo 7 is easy but counting
modulo 2 is intractable. Modular counting provides a rich setting in which to
study the structure of homomorphism problems. In this case, the structure of
the graph H has a big influence on the complexity of the problem. Thus, our
approach is graph-theoretic. We give a complete solution for the class of
cactus graphs, which are connected graphs in which every edge belongs to at
most one cycle. Cactus graphs arise in many applications such as the modelling
of wireless sensor networks and the comparison of genomes. We show that, for
some cactus graphs H, counting homomorphisms to H modulo 2 can be done in
polynomial time. For every other fixed cactus graph H, the problem is complete
for the complexity class parity-P which is a wide complexity class to which
every problem in the polynomial hierarchy can be reduced (using randomised
reductions). Determining which H lead to tractable problems can be done in
polynomial time. Our result builds upon the work of Faben and Jerrum, who gave
a dichotomy for the case in which H is a tree.


title: Quantum Control of Qubits and Atomic Motion Using Ultrafast Laser Pulses

abstract:
  Pulsed lasers offer significant advantages over CW lasers in the coherent
control of qubits. Here we review the theoretical and experimental aspects of
controlling the internal and external states of individual trapped atoms with
pulse trains. Two distinct regimes of laser intensity are identified. When the
pulses are sufficiently weak that the Rabi frequency $\Omega$ is much smaller
than the trap frequency $\otrap$, sideband transitions can be addressed and
atom-atom entanglement can be accomplished in much the same way as with CW
lasers. By contrast, if the pulses are very strong ($\Omega \gg \otrap$),
impulsive spin-dependent kicks can be combined to create entangling gates which
are much faster than a trap period. These fast entangling gates should work
outside of the Lamb-Dicke regime and be insensitive to thermal atomic motion.


title:
An active state of the BL Lac Object Markarian 421 detected by INTEGRAL
  in April 2013

abstract:
  Multiwavelength variability of blazars offers indirect insight into their
powerful engines and on the mechanisms through which energy is propagated from
the centre down the jet. The BL Lac object Mkn 421 is a TeV emitter, a bright
blazar at all wavelengths, and therefore an excellent target for variability
studies. Mkn 421 was observed by INTEGRAL and Fermi-LAT in an active state on
16-21 April 2013. Well sampled optical, soft, and hard X-ray light curves show
the presence of two flares. The average flux in the 20-100 keV range is 9.1e-11
erg/s/cm2 (~4.5 mCrab) and the nuclear average apparent magnitude, corrected
for Galactic extinction, is V ~12.2. In the time-resolved X-ray spectra (3.5-60
keV), which are described by broken power laws and, marginally better, by
log-parabolic laws, we see a hardening that correlates with flux increase, as
expected in refreshed energy injections in a population of electrons that later
cool via synchrotron radiation. The hardness ratios between the JEM-X fluxes in
two different bands and between the JEM-X and IBIS/ISGRI fluxes confirm this
trend. During the observation, the variability level increases monotonically
from the optical to the hard X-rays, while the large LAT errors do not allow a
significant assessment of the MeV-GeV variability. The cross-correlation
analysis during the onset of the most prominent flare suggests a monotonically
increasing delay of the lower frequency emission with respect to that at higher
frequency, with a maximum time-lag of about 70 minutes, that is however not
well constrained. The spectral energy distributions from the optical to the TeV
domain are satisfactorily described by homogeneous models of blazar emission
based on synchrotron radiation and synchrotron self-Compton scattering, except
in the state corresponding to the LAT softest spectrum and highest flux.


title: Ground States are generically a Periodic Orbit

abstract:
  We prove that for an expanding transformation the maximizing measures of a
generic Lipschitz function are supported on a single periodic orbit.


title:
Spontaneous photon-emission from a non-relativistic free charged
  particle in collapse models: A case-study

abstract:
  We study the photon emission rate of a non relativistic charged particle
interacting with an external classical noise through its position. Both the
particle and the electromagnetic field are quantized. Under only the dipole
approximation, the equations of motion can be solved exactly for a free
particle, or a particle bounded by an harmonic potential. The physical quantity
we will be interested in is the spectrum of the radiation emitted by the
particle, due to the interaction with the noise. We will highlight several
properties of the spectrum and clarify some issues appeared in the literature,
regarding the exact mathematical formula of a spectrum for a free particle.


title: Three-Dimensional Radiation Transfer in Young Stellar Objects

abstract:
  We have updated our publicly available dust radiative transfer code
(HOCHUNK3D) to include new emission processes and various 3-D geometries
appropriate for forming stars. The 3-D geometries include warps and spirals in
disks, accretion hotspots on the central star, fractal clumping density
enhancements, and misaligned inner disks. Additional axisymmetric (2-D)
features include gaps in disks and envelopes, "puffed-up inner rims" in disks,
multiple bipolar cavity walls, and iteration of disk vertical structure
assuming hydrostatic equilibrium. We include the option for simple power-law
envelope geometry, which combined with fractal clumping, and bipolar cavities,
can be used to model evolved stars as well as protostars. We include
non-thermal emission from PAHs and very small grains, and external illumination
from the interstellar radiation field. The grid structure was modified to allow
multiple dust species in each cell; based on this, a simple prescription is
implemented to model dust stratification.
  We describe these features in detail, and show example calculations of each.
Some of the more interesting results include the following: 1) Outflow cavities
may be more clumpy than infalling envelopes. 2) PAH emission in high-mass stars
may be a better indicator of evolutionary stage than the broadband SED slope;
and related to this, 3) externally illuminated clumps and high-mass stars in
optically thin clouds can masquerade as YSOs. 4) Our hydrostatic equilibrium
models suggest that dust settling is likely ubiquitous in T Tauri disks, in
agreement with previous observations.


title:
Resolving galaxies in time and space: II: Uncertainties in the spectral
  synthesis of datacubes

abstract:
  In a companion paper we have presented many products derived from the
application of the spectral synthesis code STARLIGHT to datacubes from the
CALIFA survey, including 2D maps of stellar population properties and 1D
averages in the temporal and spatial dimensions. Here we evaluate the
uncertainties in these products. Uncertainties due to noise and spectral shape
calibration errors and to the synthesis method are investigated by means of a
suite of simulations based on 1638 CALIFA spectra for NGC 2916, with
perturbations amplitudes gauged in terms of the expected errors. A separate
study was conducted to assess uncertainties related to the choice of
evolutionary synthesis models. We compare results obtained with the Bruzual &
Charlot models, a preliminary update of them, and a combination of spectra
derived from the Granada and MILES models. About 100k CALIFA spectra are used
in this comparison.
  Noise and shape-related errors at the level expected for CALIFA propagate to
0.10-0.15 dex uncertainties in stellar masses, mean ages and metallicities.
Uncertainties in A_V increase from 0.06 mag in the case of random noise to 0.16
mag for shape errors. Higher order products such as SFHs are more uncertain,
but still relatively stable. Due to the large number statistics of datacubes,
spatial averaging reduces uncertainties while preserving information on the
history and structure of stellar populations. Radial profiles of global
properties, as well as SFHs averaged over different regions are much more
stable than for individual spaxels. Uncertainties related to the choice of base
models are larger than those associated with data and method. Differences in
mean age, mass and metallicity are ~ 0.15 to 0.25 dex, and 0.1 mag in A_V.
Spectral residuals are ~ 1% on average, but with systematic features of up to
4%. The origin of these features is discussed. (Abridged)


title: High-Velocity Features in Type Ia Supernova Spectra

abstract:
  We use a sample of 58 low-redshift (z <= 0.03) Type Ia supernovae (SNe Ia)
having well-sampled light curves and spectra near maximum light to examine the
behaviour of high-velocity features (HVFs) in SN Ia spectra. We take advantage
of the fact that Si II 6355 is free of HVFs at maximum light in all SNe Ia,
allowing us to quantify the strength of HVFs by comparing the structure of
these two lines. We find that the average HVF strength increases with
decreasing light-curve decline rate, and rapidly declining SNe Ia (dm_15(B) >=
1.4 mag) show no HVFs in their maximum-light spectra. Comparison of HVF
strength to the light-curve colour of the SNe Ia in our sample shows no
evidence of correlation. We find a correlation of HVF strength with the
velocity of Si II 6355 at maximum light (v_Si), such that SNe Ia with lower
v_Si have stronger HVFs, while those SNe Ia firmly in the "high-velocity"
(i.e., v_Si >= 12,000 km/s) subclass exhibit no HVFs in their maximum-light
spectra. While v_Si and dm_15(B) show no correlation in the full sample of SNe
Ia, we find a significant correlation between these quantities in the subset of
SNe Ia having weak HVFs. In general, we find that slowly declining (low
dm_15(B)) SNe Ia, which are more luminous and more energetic than average SNe
Ia, tend to produce either high photospheric ejecta velocities (i.e., high
v_Si) or strong HVFs at maximum light, but not both. Finally, we examine the
evolution of HVF strength for a sample of SNe Ia having extensive pre-maximum
spectroscopic coverage and find significant diversity of the pre-maximum HVF
behaviour.


title: Small zeros of quadratic forms outside of a union of varieties

abstract:
  Let $F$ be a quadratic form in $N \geq 2$ variables defined on a vector space
$V \subseteq K^N$ over a global field $K$, and $\Z \subseteq K^N$ be a finite
union of varieties defined by families of homogeneous polynomials over $K$. We
show that if $V \setminus \Z$ contains a nontrivial zero of $F$, then there
exists a linearly independent collection of small-height zeros of $F$ in
$V\setminus \Z$, where the height bound does not depend on the height of $\Z$,
only on the degrees of its defining polynomials. As a corollary of this result,
we show that there exists a small-height maximal totally isotropic subspace $W$
of the quadratic space $(V,F)$ such that $W$ is not contained in $\Z$. Our
investigation extends previous results on small zeros of quadratic forms,
including Cassels' theorem and its various generalizations. The paper also
contains an appendix with two variations of Siegel's lemma. All bounds on
height are explicit.


title:
Regularity in time along the coarse scale flow for the incompressible
  Euler equations

abstract:
  One of the most remarkable features of known nonstationary solutions to the
incompressible Euler equations is the phenomenon known as the Taylor
hypothesis, which predicts that coarse scale averages of the velocity carry the
fine scale features of the flow. In this work, we develop a time regularity
theory for Euler weak solutions based on quantitative expressions of this
hypothesis.
  We assume only that our velocity field is H\"{o}lder continuous in the
spatial variables, which is well-motivated by problems related to turbulence,
but precludes the application of Lagrangian methods or local well-posedness
theory. Despite the dramatic lack of well-posedness, we obtain a rich theory of
regularity in time for solutions, especially concerning advective derivatives.
In particular, any Euler flow of class $v \in L_t^\infty C_x^\alpha$ has
continuous advective derivatives of any order less than
$\frac{\alpha}{1-\alpha}$, and every point has a trajectory passing through it
that is $C^r$ for all $r < \frac{1}{1-\alpha}$, and one that is $C^\infty$ if
$v$ is $C^1$ or $v \in \bigcap_{\alpha < 1} L_t^\infty C_x^\alpha$ has
borderline regularity. In a follow up work, we show that all trajectories are
of class $C^{1/(1-\alpha)}$ in time whenever $1/(1-\alpha) \notin {\mathbb Z}$,
whether or not the trajectories are unique.


title:
The ionizing sources of luminous compact HII regions in the RCW106 and
  RCW122 clouds

abstract:
  Given the rarity of young O star candidates, compact HII regions embedded in
dense molecular cores continue to serve as potential sites to peer into the
details of high-mass star formation. To uncover the ionizing sources of the
most luminous and compact HII regions embedded in the RCW106 and RCW122 giant
molecular clouds, known to be relatively nearby (2-4 kpc) and isolated, thus
providing an opportunity to examine spatial scales of a few hundred to a
thousand AU in size. High spatial resolution (0.3"), mid-infrared spectra
(R=350), including the fine structure lines [ArIII] and [NeII], were obtained
for four luminous compact HII regions, embedded inside the dense cores within
the RCW106 and RCW122 molecular cloud complexes. At this resolution, these
targets reveal point-like sources surrounded by nebulosity of different
morphologies, uncovering details at spatial dimensions of <1000AU. The
point-like sources display [ArIII] and [NeII] lines - the ratios of which are
used to estimate the temperature of the embedded sources. The derived
temperatures are indicative of mid-late O type objects for all the sources with
[ArIII] emission. Previously known characteristics of these targets from the
literature, including evidence of disk or accretion suggest that the identified
sources may grow more to become early-type O stars by the end of the star
formation process.


title: Fits to data for a stored uncooled polarized deuteron beam

abstract:
  I perform tracking simulations to fit various measurements of the
polarization for a stored uncooled polarized deuteron beam, published in the
recent paper by Benati et. al (P. Benati {\em et al.}, {\it Phys. Rev. ST
Accel. Beams} {\bf 15}, 124202 (2012)). The collaboration kindly sent me
datafiles of the polarization measurements, and also pertinent details of the
experimental data acquisition procedure. The latter are essential to obtain
quantitative fits to the data. I describe my findings and inferences from the
data. In some cases I offer alternative interpretations of the data from that
given by Benati et. al. I also correct some mistakes in my recent paper (S. R.
Mane, {\em Nucl. Inst. Meth.} {\bf 726} 104--112 (2013)).


title:
Substructure and dynamical state of 2092 rich clusters of galaxies
  derived from photometric data

abstract:
  Dynamical state of galaxy clusters is closely related to their observational
properties in X-ray, optical and radio wavelengths. We develop a method to
diagnose the substructure and dynamical state of galaxy clusters by using
photometric data of Sloan Digital Sky Survey (SDSS). To trace mass
distribution, the brightness distribution of member galaxies is smoothed by
using a Gaussian kernel with a weight of their optical luminosities. After
deriving the asymmetry, the ridge flatness and the normalized deviation of the
smoothed optical map, we define a relaxation parameter, Gamma, to quantify
dynamical state of clusters. This method is applied to a test sample of 98
clusters of 0.05<z\lesssim0.42 collected from literature with known dynamical
states and can recognize dynamical state for relaxed (Gamma\ge0) and unrelaxed
(Gamma<0) clusters with a success rate of 94%. We then calculate relaxation
parameters of 2092 rich clusters previously identified from the SDSS, of which
28% clusters are dynamically relaxed with Gamma\ge0. We find that the dominance
and absolute magnitude of the brightest cluster galaxy closely correlate with
dynamical state of clusters. The emission power of radio halos is
quantitatively related to cluster dynamical state, beside the known dependence
on the X-ray luminosity.


title:
The Milky Way thin disk structure as revealed by stars and young open
  clusters

abstract:
  In this contribution I shall focus on the structure of the Galactic thin
disk. The evolution of the thin disk and its chemical properties have been
discussed in detail by T. Bensby's contribution in conjunction with the
properties of the Galactic thick disk, and by L.Olivia in conjunction with the
properties of the Galactic bulge. I will review and discuss the status of our
understanding of three major topics, which have been the subject of intense
research nowadays, after long years of silence: (1) the spiral structure of the
Milky Way, (2) the size of the Galactic disk, and (3) the nature of the Local
arm (Orion spur), where the Sun is immersed. The provisional conclusions of
this discussion are that : (1) we still have quite a poor knowledge of the
Milky Way spiral structure, and the main dis-agreements among various tracers
are still to be settled; (2) the Galactic disk does clearly \textit{not} have
an obvious luminous cut-off at about 14 kpc from the Galactic center, and next
generation Galactic models need to be updated in this respect, and (3) the
Local arm is most probably an inter-arm structure, similar to what we see in
several external spirals, like M~74. Finally, the impact of GAIA and LAMOST in
this field will be briefly discussed as well.


title: On Rank Driven Dynamical Systems

abstract:
  We investigate a class of models related to the Bak-Sneppen model, initially
proposed to study evolution. The BS model is extremely simple and yet captures
some forms of "complex behavior" such as self-organized criticality that is
often observed in physical and biological systems.
  In this model, random fitnesses in $[0,1]$ are associated to agents located
at the vertices of a graph $G$. Their fitnesses are ranked from worst (0) to
best (1). At every time-step the agent with the worst fitness and some others
\emph{with a priori given rank probabilities} are replaced by new agents with
random fitnesses. We consider two cases: The \emph{exogenous case} where the
new fitnesses are taken from an a priori fixed distribution, and the
\emph{endogenous case} where the new fitnesses are taken from the current
distribution as it evolves.
  We approximate the dynamics by making a simplifying independence assumption.
We use Order Statistics and Dynamical Systems to define a \emph{rank-driven
dynamical system} that approximates the evolution of the \emph{distribution} of
the fitnesses in these rank-driven models, as well as in the Bak-Sneppen model.
For this simplified model we can find the limiting marginal distribution as a
function of the initial conditions. Agreement with experimental results of the
BS model is excellent.


title: Efficient Sequential and Parallel Algorithms for Planted Motif Search

abstract:
  Motif searching is an important step in the detection of rare events
occurring in a set of DNA or protein sequences. One formulation of the problem
is known as (l,d)-motif search or Planted Motif Search (PMS). In PMS we are
given two integers l and d and n biological sequences. We want to find all
sequences of length l that appear in each of the input sequences with at most d
mismatches. The PMS problem is NP-complete. PMS algorithms are typically
evaluated on certain instances considered challenging. This paper presents an
exact parallel PMS algorithm called PMS8. PMS8 is the first algorithm to solve
the challenging (l,d) instances (25,10) and (26,11). PMS8 is also efficient on
instances with larger l and d such as (50,21). This paper also introduces
necessary and sufficient conditions for 3 l-mers to have a common d-neighbor.


title:
On the time scales in the approach to equilibrium of macroscopic quantum
  systems

abstract:
  We prove two theorems concerning the time evolution in general isolated
quantum systems. The theorems are relevant to the issue of the time scale in
the approach to equilibrium. The first theorem shows that there can be
pathological situations in which the relaxation takes an extraordinarily long
time, while the second theorem shows that one can always choose an equilibrium
subspace the relaxation to which requires only a short time for any initial
state.


title:
Reexamination of constrains on the Maxwell-Boltzmann distribution by
  Helioseismology

abstract:
  Nuclear reactions in stars occur between nuclei in the high-energy tail of
the energy distribution and are sensitive to possible deviations from the
standard equilibrium thermal-energy distribution, the well-known
Maxwell-Boltzmann Distribution (\textsf{MBD}). In a previous paper published in
Physics Letters 441B(1998)291, Degl'Innocenti {\it et al}. made strong
constrains on such deviations with the detailed helioseismic information of the
solar structure. With a small deviation parameterized with a factor
exp$[{-\delta (E/kT)^2}]$, it was shown $\delta$ restricted between -0.005 and
+0.002. These constrains have been carefully reexamined in the present work. We
find that a normalization factor was missed in the previous modified
\textsf{MBD}. In this work, the normalization factor $c$ is calculated as a
function of $\delta$. It shows the factor $c$ is almost unity within the range
0$< \delta \leq$0.002, which supports the previous conclusion. However, it
demonstrates that $\delta$ cannot take a negative value from the normalization
point of view. As a result, a stronger constraint on $\delta$ is defined as
0$\leq \delta \leq$0.002. The astrophysical implication on the solar neutrino
fluxes is simply discussed based on a positive $\delta$ value of 0.003. The
reduction of the $^7$Be and $^8$B neutrino fluxes expected from the modified
\textsf{MBD} can possibly shed alternative light on the solar neutrino problem.
In addition, the resonant reaction rates for the $^{14}$N($p$,$\gamma$)$^{15}$O
reaction are calculated with a standard \textsf{MBD} and a modified
\textsf{MBD}, respectively. It shows that the rates are quite sensitive even to
a very small $\delta$. This work demonstrates the importance and necessity of
experimental verification or test of the well-known \textsf{MBD} at high
temperatures.


title: Hyperon production from neutrino-nucleon reaction

abstract:
  The neutrino induced hyperon production processes $\bar{\nu}_{e/\mu} + p \to
e^+/\mu^+ + \pi + \Lambda/\Sigma$ may provide a unique clean place for studying
low energy $\pi\Lambda/\Sigma$ interaction and hyperon resonances below $KN$
threshold. The production rates for some neutrino induced hyperon production
processes are estimated with theoretical models. Suggestions are made for the
study of hyperon production from neutrino-nucleon reaction at present and
future neutrino facilities.


title: Experimental studies of THGEM in different Ar/CO2 mixtures

abstract:
  In this paper, the performances of a type of the domestic THGEM (THick
Gaseous Electron Multiplier) working in the Ar/CO2 mixtures are reported in
details. This kind of single THGEM can provide the gain range from 100 to 1000,
which is very suitable for the application in the neutron detection. In order
to study its basic characteristics as the references for the development of
THGEM based neutron detector, the counting rate plateau, the energy resolution
and the gain of the THGEM have been measured in the different Ar/CO2 mixtures
with the change of the electrical fields. For the Ar/CO2(90%/10%) gas mixture,
a wide counting rate plateau is got from 720V to 770V with the plateau slope of
2.4% / 100 V and the excellent energy resolution about 22% is obtained at the
5.9keV full energy peak of the 55Fe X-ray source.


title:
Lower bound of local quantum uncertainty for high-dimensional bipartite
  quantum systems

abstract:
  Quantum correlations are of fundamental importance in quantum phenomena and
quantum information processing studies. The measure of quantum correlations is
one central issue. The recently proposed measure of quantum correlations, the
local quantum uncertainty (LQU), satisfies the full physical requirements of a
measure of quantum correlations. In this work, by using operator relaxation, a
closed form lower bound of the LQU for arbitrary-dimensional bipartite quantum
states is derived. We have compared the lower bound and the optimized LQU for
several typical quantum states.


title: On the prospects of building optical atomic clocks using Er I or Er III

abstract:
  The possibility of using neutral and double ionized erbium for atomic clocks
of high precision is investigated. In both cases the narrow electric quadrupole
clock transition between the ground and first exited state of the same
configuration lies in optical region. The estimated ratio of decay width to
transition energy is less then 10 20. We demonstrate that this transitions are
not sensitive to black body radiation and if other perturbations are also
considered the relative accuracy of the clocks can probably reach the level of
10 (pow minus 18) or better.


title:
A non-parametric conditional factor regression model for
  high-dimensional input and response

abstract:
  In this paper, we propose a non-parametric conditional factor regression
(NCFR)model for domains with high-dimensional input and response. NCFR enhances
linear regression in two ways: a) introducing low-dimensional latent factors
leading to dimensionality reduction and b) integrating an Indian Buffet Process
as a prior for the latent factors to derive unlimited sparse dimensions.
Experimental results comparing NCRF to several alternatives give evidence to
remarkable prediction performance.


title: Computing upper cluster algebras

abstract:
  This paper develops techniques for producing presentations of upper cluster
algebras. These techniques are suited to computer implementation, and will
always succeed when the upper cluster algebra is totally coprime and finitely
generated. We include several examples of presentations produced by these
methods.


title:
Optoelectronic response calculations in the framework of k.p coupled to
  Non-equilibrium Green's functions for 1D systems in the ballistic limit

abstract:
  We present theory of the carrier-optical interaction in 1D systems based on
the non-equilibrium Greens function formalism in the 4x4 k.p model. As a
representative parameters we chose the GaAs. Although theory is presented in
4x4 k.p many subbands, results and discussion section is based on the
simplified model such as 2x2 k.p model (two transverse modes). Even though 2x2
k.p model is simple enough it shows many phenomena that have not been seen
before. We focus mainly on the ballistic extraction of photogenerated free
carriers at the radiative limit which is described by the self-energy term
derived in dipole approximation and solved in self-consistent manner with
Keldysh quantum kinetic equations. Any relaxation or non-radiative
recombination mechanisms as well as excitonic features are neglected. Effect of
non-locality of electron-photon self energy term is considered and discussed.
Spontaneous emission is also considered and shown to be small in short devices
under medium bias conditions. Electron and hole spatial current oscillations
are seen and discussed. It is shown that neglecting off-diagonal correlation in
the band index not only produces quantitatively wrong results but it also
alters the qualitative picture. All simulations are done in the full-rank
approximation, with all spatial and band correlation effects are kept intact.
This allows us to study not only quantitative effects but also qualitative
behaviour.


title:
Periodic steps in the resistance vs. temperature characteristics of
  doped graphite and graphene: evidence of superconductivity?

abstract:
  We have observed periodically repeated steps in the resistance vs.
temperature characteristics of doped Highly Oriented Pyrolytic Graphite and
exfoliated doped multi-layer graphene. The observations consist of a series of
regularly spaced steps in the resistance vs. temperature curves. The lowest
step is observed at a temperature of from 50 to 60 K. Additional steps are
observed at multiples of that basic temperature with the highest step
temperature being at approximately 270 K. Quenching by a modest applied
magnetic field has been observed. The sizes and widths of the observed steps
appear to vary and may be related to some sort of aggregation reminiscent of
flux vortex pinning. An additional argon ion implantation at reduced energy was
done to see if additional defects in the material would yield additional
structure. This was observed to yield much sharper resistance steps at
temperatures in excess of 200 K in thin exfoliated peels from the implanted
surface of the sample and would support the possibility of the steps being
related to pancake vortex pinning in a layered superconductor. Unfortunately,
as yet, there has been no direct measurement of either the superconducting
energy gap nor has a definitive Meissner effect been observed.


title: Renormalization and power counting of chiral nuclear forces

abstract:
  I discuss the progress we have made on modifying Weinberg's prescription for
chiral nuclear forces, using renormalization group invariance as the guideline.
Some of the published results are presented.


title: Vortex penetration field of the multilayer coating model

abstract:
  The vortex penetration field of the multilayer coating model with a single
superconductor layer and a single insulator layer formed on a bulk
superconductor are derived. The same formula can be applied to a model with a
superconductor layer formed on a bulk superconductor without an insulator
layer.


title:
Using Data to Tune Nearshore Dynamics Models: A Bayesian Approach with
  Parametric Likelihood

abstract:
  We propose a modification of a maximum likelihood procedure for tuning
parameter values in models, based upon the comparison of their output to field
data. Our methodology, which uses polynomial approximations of the sample space
to increase the computational efficiency, differs from similar Bayesian
estimation frameworks in the use of an alternative likelihood distribution, is
shown to better address problems in which covariance information is lacking,
than its more conventional counterpart.
  Lack of covariance information is a frequent challenge in large-scale
geophysical estimation. This is the case in the geophysical problem considered
here. We use a nearshore model for long shore currents and observational data
of the same to show the contrast between both maximum likelihood methodologies.
  Beyond a methodological comparison, this study gives estimates of parameter
values for the bottom drag and surface forcing that make the particular model
most consistent with data; furthermore, we also derive sensitivity estimates
that provide useful insights regarding the estimation procedure as well as of
the model itself.

categories: physics.data-an math.ST physics.ao-ph stat.TH


title:
Fundamentals of Throughput Maximization with Random Arrivals for M2M
  Communications

abstract:
  For wireless systems in which randomly arriving devices attempt to transmit a
fixed payload to a central receiver, we develop a framework to characterize the
system throughput as a function of arrival rate and per-user data rate. The
framework considers both coordinated transmission (where devices are scheduled)
and uncoordinated transmission (where devices communicate on a random access
channel and a provision is made for retransmissions). Our main contribution is
a novel characterization of the optimal throughput for the case of
uncoordinated transmission and a strategy for achieving this throughput that
relies on overlapping transmissions and joint decoding. Simulations for a
noise-limited cellular network show that the optimal strategy provides a factor
of four improvement in throughput compared to slotted aloha. We apply our
framework to evaluate more general system-level designs that account for
overhead signaling. We demonstrate that, for small payload sizes relevant for
machine-to-machine (M2M) communications (200 bits or less), a one-stage
strategy, where identity and data are transmitted optimally over the random
access channel, can support at least twice the number of devices compared to a
conventional strategy, where identity is established over an initial
random-access stage and data transmission is scheduled.


title: Antiglitch Inconsistent With Magnetar Model of AXP

abstract:
  The recently observed antiglitch of AXP 1E 2259+586 is inconsistent with
magnetar models, but may be explained as the consequence of sudden accretion of
retrograde matter or "propeller" interaction with surrounding matter. AXP/SGR
are explained as single neutron stars accompanied by fallback matter from their
natal supernovae. Their phenomenology may be partly accretional and partly the
result of dissipation of magnetic energy.


title:
Self-Assembly on a Cylinder: A Model System for Understanding the
  Constraint of Commensurability

abstract:
  A crystal lattice, when confined to the surface of a cylinder, must have a
periodic structure that is commensurate with the cylinder circumference. This
constraint can frustrate the system, leading to oblique crystal lattices or to
structures with a chiral seam known as a "line slip" phase, neither of which
are stable for isotropic particles in equilibrium on flat surfaces. In this
study, we use molecular dynamics simulations to find the steady-state structure
of spherical particles with short-range repulsion and long-range attraction far
below the melting temperature. We vary the range of attraction using the
Lennard-Jones and Morse potentials and find that a shorter-range attraction
favors the line-slip. We develop a simple model based only on geometry and bond
energy to predict when the crystal or line-slip phases should appear, and find
reasonable agreement with the simulations. The simplicity of this model allows
us to understand the influence of the commensurability constraint, an
understanding that might be extended into the more general problem of
self-assembling particles in strongly confined spaces.


title: Nearshore sticky waters

abstract:
  Wind- and current-driven flotsam, oil spills, pollutants, and nutrients,
approaching the nearshore will frequently appear to park just beyond the break
zone, where waves break. Moreover, the portion of these tracers that beach will
do so only after a long time. Explaining why these tracers park and at what
rate they reach the shore has important implications on a variety of different
nearshore environmental issues, including the determination of what subscale
processes are essential in computer models for the simulation of pollutant
transport in the nearshore. Using a simple model we provide an explanation for
the underlying mechanism responsible for the parking of tracers, the role
played by the bottom topography, and the non-uniform dispersion which leads, in
some circumstances, to the eventual landing of all or a portion of the tracers.
We refer to the parking phenomenon in this environment as nearshore sticky
waters.


title: The Orchive : Data mining a massive bioacoustic archive

abstract:
  The Orchive is a large collection of over 20,000 hours of audio recordings
from the OrcaLab research facility located off the northern tip of Vancouver
Island. It contains recorded orca vocalizations from the 1980 to the present
time and is one of the largest resources of bioacoustic data in the world. We
have developed a web-based interface that allows researchers to listen to these
recordings, view waveform and spectral representations of the audio, label
clips with annotations, and view the results of machine learning classifiers
based on automatic audio features extraction. In this paper we describe such
classifiers that discriminate between background noise, orca calls, and the
voice notes that are present in most of the tapes. Furthermore we show
classification results for individual calls based on a previously existing orca
call catalog. We have also experimentally investigated the scalability of
classifiers over the entire Orchive.


title: Geometric Origin of Stokes Phenomenon for de Sitter Radiation

abstract:
  We propose a geometric interpretation for the Stokes phenomenon in de Sitter
spacetime that particles are produced in even dimensions but not in odd
dimensions. The scattering amplitude for a quantum field between the in-vacuum
and the transported one along a closed path in the complex-time plane gives the
particle-production rate that explains not only the Boltzmann factor from the
simple pole at infinity, corresponding to the cosmological horizon, but also
the sinusoidal behavior from simple poles at the north and south poles of the
Euclidean geometry. The Stokes phenomenon is a consequence of interference
among four independent closed paths in the complex plane.


title:
Superparamagnetic response of Fe-coated W tips in spin-polarized
  scanning tunneling microscopy

abstract:
  We performed spin-polarized scanning tunneling spectroscopy on
biatomic-layer-high Co nanoislands grown on Cu(111) in magnetic fields oriented
normal to the sample surface, with Fe-coated W tips. Increasing the temperature
from 10 to 30 K, we observe a reduced slope of the differential conductance
around zero field. A quantitative analysis of the field- and
temperature-dependent differential conductance data in the framework of
superparamagnetism as described by a Langevin function gives an excellent
description of the experimental results. The analysis suggests that a Fe
nano-apex at the W tip, which is composed of 220-300 Fe atoms, determines the
magnetic response of the tip.


title: Wilson-Bappu Effect: Extended to Surface Gravity

abstract:
  Wilson and Bappu found a tight correlation between the stellar absolute
visual magnitude (Mv) and the width of the Ca II K emission line for late-type
stars in 1957. Here, we revisit the Wilson-Bappu relationship (hereafter, WBR)
to claim that WBR can be an excellent indicator of stellar surface gravity of
late-type stars as well as a distance indicator. We have measured the width (W)
of the Ca II K emission line in high resolution spectra of 125 late-type stars,
which were obtained with Bohyunsan Optical Echelle Spectrograph (BOES) and
adopted from the UVES archive. Based on our measurement of the emission line
width (W), we have obtained a WBR of Mv = 33.76 - 18.08 logW. In order to
extend the WBR to be a surface gravity indicator, the stellar atmospheric
parameters such as effective temperature (Teff), surface gravity (logg),
metallicity ([Fe/H]), and micro-turbulence ($\xi_{tur}$) have been derived from
the self-consistent detailed analysis using the Kurucz stellar atmospheric
model and the abundance analysis code, MOOG. Using these stellar parameters and
logW, we found that logg = - 5.85 logW + 9.97 logTeff - 23.48 for late-type
stars.


title: Saturations of powers of certain determinantal ideals

abstract:
  Let $R$ be a Noetherian local ring and $m$ a positive integer. Let $I$ be the
ideal of $R$ generated by the maximal minors of an $m \times (m + 1)$ matrix
$M$ with entries in $R$. Assuming that the grade of the ideal generated by the
$k$-minors of $M$ is at least $m - k + 2$ for $1 \leq \forall k \leq m$, we
will study the associated primes of $I^n$ for $\forall n > 0$. Moreover, we
compute the saturation of $I^n$ for $1 \leq \forall n \leq m$ in the case where
$R$ is a Cohen-Macaulay ring and the entries of $M$ are powers of elements that
form an sop for $R$.


title: Klein-Gordon equation for a particles in brane model

abstract:
  Brane model of universe is considered for a free particle. Conservation laws
on the brane are obtained using the symmetry properties of the brane. Equation
of motion is derived for a particle using variation principle from these
conservation laws. This equation has a form of Klein-Gordon equation.
Comparison of squared Dirac-Fok-Ivanenko equation for a spin particle with
Klein-Gordon equation in curved space has given an expression for chiral spin
current variation through the derivative of spin connectivity. This chiral spin
current is anomalous spin current corresponding to spontaneous chiral symmetry
breaking of massive particle in the space of KG equation solutions.


title:
Role of initial system-environment correlations: A master equation
  approach

abstract:
  In order to achieve practical implementations of emerging quantum
technologies, it is important to have a firm understanding of the dynamics of
realistic quantum open systems. Master equations provide a widely used tool in
this regard. In this work, we first construct a master equation, valid for weak
system-environment coupling, which explicitly takes into account the impact of
preparing an initial system state from an equilibrium system-environment state
that has system-environment correlations. We then investigate the role of
initial system-environment correlations using this master equation for a system
consisting of many two-level atoms interacting with a common environment. We
show that, in general, due to the initial system-environment correlations
before a state preparation, the quantum state of the system can evolve at a
faster time-scale. Moreover, we also consider different initial state
preparations, and demonstrate that the influence of state preparations depends
on the initial states prepared. Our results can be of interest to many topics
based on quantum open systems where system-environment correlation effects have
been neglected before.


title:
Improving Pointwise Mutual Information (PMI) by Incorporating
  Significant Co-occurrence

abstract:
  We design a new co-occurrence based word association measure by incorporating
the concept of significant cooccurrence in the popular word association measure
Pointwise Mutual Information (PMI). By extensive experiments with a large
number of publicly available datasets we show that the newly introduced measure
performs better than other co-occurrence based measures and despite being
resource-light, compares well with the best known resource-heavy distributional
similarity and knowledge based word association measures. We investigate the
source of this performance improvement and find that of the two types of
significant co-occurrence - corpus-level and document-level, the concept of
corpus level significance combined with the use of document counts in place of
word counts is responsible for all the performance gains observed. The concept
of document level significance is not helpful for PMI adaptation.


title: Dale's Principle is necessary for an optimal neuronal network's dynamics

abstract:
  We study a mathematical model of biological neuronal networks composed by any
finite number $N \geq 2$ of non necessarily identical cells. The model is a
deterministic dynamical system governed by finite-dimensional impulsive
differential equations. The statical structure of the network is described by a
directed and weighted graph whose nodes are certain subsets of neurons, and
whose edges are the groups of synaptical connections among those subsets.
First, we prove that among all the possible networks such that their respective
graphs are mutually isomorphic, there exists a dynamical optimum. This optimal
network exhibits the richest dynamics: namely, it is capable to show the most
diverse set of responses (i.e. orbits in the future) under external stimulus or
signals. Second, we prove that all the neurons of a dynamically optimal
neuronal network necessarily satisfy Dale's Principle, i.e. each neuron must be
either excitatory or inhibitory, but not mixed. So, Dale's Principle is a
mathematical necessary consequence of a theoretic optimization process of the
dynamics of the network. Finally, we prove that Dale's Principle is not
sufficient for the dynamical optimization of the network.


title:
Correlations of heat and charge currents in quantum-dot thermoelectric
  engines

abstract:
  We analyze the noise properties of both electric charge and heat currents as
well as their correlations in a quantum-dot based thermoelectric engine. The
engine is a three-terminal conductor with crossed heat and charge flows where
heat fluctuations can be monitored by a charge detector. We investigate the
mutual influence of charge and heat dynamics and how it is manifested in the
current and noise properties. In the presence of energy-dependent tunneling,
operating conditions are discussed where a charge current can be generated by
heat conversion. In addition, heat can be pumped into the hot source by driving
a charge current in the coupled conductor. An optimal configuration is found
for structures in which the energy dependence of tunneling maximizes asymmetric
transmission with maximal charge-heat cross-correlations. Remarkably, at a
voltage that stalls the heat engine we find that in the optimal case the
non-equilibrium state is maintained by fluctuations in the heat and charge
current only.


title: New steps in walks with small steps in the quarter plane

abstract:
  In this article we obtain new expressions for the generating functions
counting (non-singular) walks with small steps in the quarter plane. Those are
given in terms of infinite series, while in the literature, the standard
expressions use solutions to boundary value problems. We illustrate our results
with three examples (an algebraic case, a transcendental D-finite case, and an
infinite group model).


title:
Moments and growth indices for the nonlinear stochastic heat equation
  with rough initial conditions

abstract:
  We study the nonlinear stochastic heat equation in the spatial domain
$\mathbb {R}$, driven by space-time white noise. A central special case is the
parabolic Anderson model. The initial condition is taken to be a measure on
$\mathbb {R}$, such as the Dirac delta function, but this measure may also have
noncompact support and even be nontempered (e.g., with exponentially growing
tails). Existence and uniqueness of a random field solution is proved without
appealing to Gronwall's lemma, by keeping tight control over moments in the
Picard iteration scheme. Upper bounds on all $p$th moments $(p\ge2)$ are
obtained as well as a lower bound on second moments. These bounds become
equalities for the parabolic Anderson model when $p=2$. We determine the growth
indices introduced by Conus and Khoshnevisan [Probab. Theory Related Fields 152
(2012) 681-701].


title: Degenerate quantum gases of strontium

abstract:
  Degenerate quantum gases of alkaline-earth-like elements open new
opportunities in research areas ranging from molecular physics to the study of
strongly correlated systems. These experiments exploit the rich electronic
structure of these elements, which is markedly different from the one of other
species for which quantum degeneracy has been attained. Specifically,
alkaline-earth-like atoms, such as strontium, feature metastable triplet
states, narrow intercombination lines, and a non-magnetic, closed-shell ground
state. This review covers the creation of quantum degenerate gases of strontium
and the first experiments performed with this new system. It focuses on
laser-cooling and evaporation schemes, which enable the creation of
Bose-Einstein condensates and degenerate Fermi gases of all strontium isotopes,
and shows how they are used for the investigation of optical Feshbach
resonances, the study of degenerate gases loaded into an optical lattice, as
well as the coherent creation of Sr_2 molecules.


title:
The ESO UVES Advanced Data Products Quasar Sample - II. Cosmological
  Evolution of the Neutral Gas Mass Density

abstract:
  Quasar foreground damped absorbers, associated with HI-rich galaxies allow to
estimate the neutral gas mass over cosmic time, which is a possible indicator
of gas consumption as star formation proceeds. The DLAs and sub-DLAs are
believed to contain a large fraction of neutral gas mass in the Universe. In
Paper I of the series, we present the results of a search for DLAs and sub-DLAs
in the ESO-UVES Advanced Data Products dataset of 250 quasars. Here we use an
unbiased sub-sample of sub-DLAs from this dataset. We build a subset of 122
quasars ranging from 1.5 <z_em < 5.0, suitable for statistical analysis. The
statistical sample is analyzed in conjunction with other sub-DLA samples from
the literature. This makes up a combined sample of 89 sub-DLAs over a redshift
path of $\Delta z=193$. Redshift evolution of the number density and the line
density are derived for sub-DLAs and compared with the LLSs and DLAs
measurements from the literature. The results indicate that these three classes
of absorbers are evolving in the redshift interval 1 < z < 5. The column
density distribution, f(N,z), down to the sub-DLA limit is determined. The
flattening of f_(N,z) in the sub-DLA regime is present in the observations. The
redshift evolution of f_(N,z) down to sub-DLA regime is also presented,
indicating the presence of more sub-DLAs at high-redshift as compared to
low-redshift. f_(N,z) is further used to determine the neutral gas mass
density, Omega_g, at 1.5 < z < 5.0. The complete sample shows that sub-DLAs
contribute 8-20% to the total Omega_g from 1.5 < z < 5.0. In agreement with
previous studies, no evolution of Omega_g is seen from low-redshift to
high-redshift, suggesting that star formation solely cannot explain this
non-evolution and replenishment of gas and/or recombination of ionized gas is
needed. (Abridged)


title:
Numerical study of blow-up in solutions to generalized Korteweg-de Vries
  equations

abstract:
  We present a detailed numerical study of solutions to general Korteweg-de
Vries equations with critical and supercritical nonlinearity. We study the
stability of solitons and show that they are unstable against being radiated
away and blow-up. In the $L_{2}$ critical case, the blow-up mechanism by
Martel, Merle and Rapha\"el can be numerically identified. In the limit of
small dispersion, it is shown that a dispersive shock always appears before an
eventual blow-up. In the latter case, always the first soliton to appear will
blow up. It is shown that the same type of blow-up as for the perturbations of
the soliton can be observed which indicates that the theory by Martel, Merle
and Rapha\"el is also applicable to initial data with a mass much larger than
the soliton mass. We study the scaling of the blow-up time $t^{*}$ in
dependence of the small dispersion parameter $\epsilon$ and find an exponential
dependence $t^{*}(\epsilon)$ and that there is a minimal blow-up time
$t^{*}_{0}$ greater than the critical time of the corresponding Hopf solution
for $\epsilon\to0$. To study the cases with blow-up in detail, we apply the
first dynamic rescaling for generalized Korteweg-de Vries equations. This
allows to identify the type of the singularity.


title: Semi-isolation and the strict order property

abstract:
  We study semi-isolation as a binary relation on the locus of a complete type
and prove that under some additional assumptions it induces the strict order
property.


title:
Size Dependence of Domain Pattern Transfer in Multiferroic
  Heterostructures

abstract:
  Magnetoelectric coupling in multiferroic heterostructures can produce large
lateral modulations of magnetic anisotropy enabling the imprinting of
ferroelectric domains into ferromagnetic films. Exchange and magnetostatic
interactions within ferromagnetic films oppose the formation of such domains.
Using micromagnetic simulations and a 1-D model, we demonstrate that competing
energies lead to the breakdown of domain pattern transfer below a critical
domain width. Moreover, rotation of the magnetic field results in abrupt
transitions between two scaling regimes with different magnetic anisotropy.


title: Stability of Branching Laws for Highest Weight Modules

abstract:
  We say a representation V of a group G has stability if its multiplicities
m^{G}_{V}(\lambda) is dependent only on some equivalence class of \lambda for a
sufficiently large parameter \lambda. In this paper, we prove that the
restriction of a holomorphic discrete series representation with respect to any
holomorphic symmetric pairs has stability. As a corollary, we give a necessary
and sufficient condition on multiplicity-freeness of the branching laws in this
setting. This condition is same as the sufficient condition given by the theory
of visible actions. We prove a general theorem before we show the stability of
holomorphic discrete series representations. Using the general theorem, we also
show the stability on quasi-affine spherical homogeneous spaces and the
stability of K-type of unitary highest weight modules. We also show that two
branching laws of a holomorphic discrete series representation coincide if two
subgroups are in same \epsilon-family.


title: Structure of Intratumor Heterogeneity: Is Cancer Hedging Its Bets?

abstract:
  Development of resistance limits transferability of most anticancer therapies
into curative treatment and understanding mechanisms beyond it remains a big
challenge. Many high resolution experimental observations show enormous
intratumor heterogeneity at molecular, genetic and cellular levels which is
made responsible for emerging resistance to therapy. Therefore, researchers
search techniques to influence development of intratumor heterogeneity, which
requires understanding its role within the context of integrative, logically
consistent, framework, such as evolutionary theory. Although it is agreed that
intratumor heterogeneity increases probability of the emergence of therapy
resistant clones, more instructive role of its structure in the process of
cancer dynamics and metastasis is needed. In the paper, intratumor
heterogeneity is viewed as a product of two, in general stochastic, processes,
evolutionary optimization and changing environment, respectively. In
evolutionary theory, common risk-diversifying strategy displayed by isogenic
populations in unpredictably changing environments is bet-hedging. We suggest,
that the structure of intratumor heterogeneity is evolutionary trait evolving
to maximize the clonal fitness in changing (or uncertain) environment and that
its structure corresponds to bet-hedging strategy. We advocate our view by
reviewing and combining important cancer relevant concepts.


title:
Reliability and Secrecy Functions of the Wiretap Channel under Cost
  Constraint

abstract:
  The wiretap channel has been devised and studied first by Wyner, and
subsequently extended to the case with non-degraded general wiretap channels by
Csiszar and Korner. Focusing mainly on the Poisson wiretap channel with cost
constraint, we newly introduce the notion of reliability and security functions
as a fundamental tool to analyze and/or design the performance of an efficient
wiretap channel system. Compact formulae for those functions are explicitly
given for stationary memoryless wiretap channels. It is also demonstrated that,
based on such a pair of reliability and security functions, we can control the
tradeoff between reliability and security (usually conflicting), both with
exponentially decreasing rates as block length n becomes large. Two ways to do
so are given on the basis of concatenation and rate exchange. In this
framework, the notion of the {\delta} secrecy capacity is defined and shown to
attain the strongest security standard among others. The maximized vs. averaged
security measures is also discussed.


title:
Amplitude Fluctuations Driven by the Density of Electron Pairs within
  Nanosize Granular Structuters inside Strongly Disordered Superconductors:
  Evidence for a Shell-Like Effect

abstract:
  Motivated by the recent observation of the shell effect in a nanoscale pure
superconductor by Bose {\em et al} [Nat. Mat. {\bf 9}, 550 (2010)], we explore
the possible shell-like effect in a strongly disordered superconductor as it is
known to produce nanosize superconducting puddles (SPs). We find a remarkable
change in the texture of the pairing amplitudes that is responsible for forming
the SP, upon monotonic tuning of the average electron density, $\langle n
\rangle$, and keeping the disorder landscape unaltered. Both the spatially
averaged pairing amplitude and the quasiparticle excitation gap oscillate with
$\langle n \rangle$. This oscillation is due to a rapid change in the low-lying
quasiparticle energy spectra and thereby a change in the shapes and positions
of the SPs. We establish a correlation between the formation of SPs and the
shell-like effect. The experimental consequences of our theory are also
discussed.


title:
Direct derivation of microcanonical ensemble average from many-particle
  quantum mechanics

abstract:
  Starting from the quantum mechanics for $N$ particles, we show that we can
directly derive the microcanonical ensemble average of the physical quantity
$A$ by using only the long time average and the equal probability assumption
for the equal energy states. The system is considered to be embedded in the
outer world and we describe them in terms of the density matrix method.


title: Quantum Will: Determinism meets Quantum Mechanics

abstract:
  We present a brief non-technical introduction to the standing discussion on
the relation between Quantum Mechanics and Determinism. Quantum Mechanics
inherent randomness in the measurement process is sometimes presented as a door
to explain free will. We argue against this interpretation. The possibility
that Quantum Mechanics provides just an effective description of Nature which
is only valid at our low-energy scales is also discussed.


title: Cyclic behavior of maxima for sums of independent variables

abstract:
  In a recent author's work the cyclic behavior of maxima in a hierarchical
summation scheme was discovered. In the present note we show how the same
phenomenon appears in the scheme of conventional summation: the distribution of
maximum of $2^n$ independent copies of a sum of $n$ i.i.d. random variables
approaches, as $n$ grows, some helix in the space of distributions.


title: A characterization of powerful p-groups

abstract:
  In [10] Benjamin Klopsch and Ilir Snopce posted the conjecture that for
$p\geq 3$ and $G$ a torsion-free pro-$p$ group $d(G)=\dim (G)$ is a sufficient
and necessary condition for the pro-$p$ group $G$ to be uniform. They pointed
out that this follows from the more general question of whether for a finite
$p$-group $d(G)=\log_p(|\Omega_1(G)|)$ is a sufficient and necessary condition
for the group $G$ to be powerful. In this short note we will give a positive
answer to this question for $p\geq 5$.


title:
Electronic excitations in the edge-shared relativistic Mott insulator:
  Na$_2$IrO$_3$

abstract:
  We have investigated the excitation spectra of $j_{eff}$=$\frac{1}{2}$ Mott
insulator Na$_2$IrO$_3$. Taking into account a relativistic multiplet structure
of Ir ions, we have calculated the optical conductivity $\sigma(\omega)$ and
resonant inelastic x-ray scattering (RIXS) spectra, which manifest different
features from those of a canonical $j_{eff}$=$\frac{1}{2}$ system
Sr$_2$IrO$_4$.Distinctly from the two-peak structure in Sr$_2$IrO$_4$,
$\sigma(\omega)$ in Na$_2$IrO$_3$ has a broad single peak dominated by
interband transitions from $j_{eff}$=$\frac{3}{2}$ to $\frac{1}{2}$. RIXS
spectra exhibit the spin-orbit (SO) exciton that has a two-peak structure
arising from the crystal-field effect, and the magnon peak at energies much
lower than in Sr$_2$IrO$_4$. In addition, a small peak near the optical
absorption edge is found in RIXS spectra, originating from the coupling between
the electron-hole ($e$-$h$) excitation and the SO exciton. Our findings
corroborate the validity of the relativistic electronic structure and
importance of both itinerant and local features in Na$_2$IrO$_3$.


title: Axion hot dark matter bounds after Planck

abstract:
  We use cosmological observations in the post-Planck era to derive limits on
thermally produced cosmological axions. In the early universe such axions
contribute to the radiation density and later to the hot dark matter fraction.
We find an upper limit m_a < 0.67 eV at 95% C.L. after marginalising over the
unknown neutrino masses, using CMB temperature and polarisation data from
Planck and WMAP respectively, the halo matter power spectrum extracted from
SDSS-DR7, and the local Hubble expansion rate H_0 released by the Carnegie
Hubble Program based on a recalibration of the Hubble Space Telescope Key
Project sample. Leaving out the local H_0 measurement relaxes the limit
somewhat to 0.86 eV, while Planck+WMAP alone constrain the axion mass to 1.01
eV, the first time an upper limit on m_a has been obtained from CMB data alone.
Our axion limit is therefore not very sensitive to the tension between the
Planck-inferred H_0 and the locally measured value. This is in contrast with
the upper limit on the neutrino mass sum, which we find here to range from 0.27
eV at 95% C.L. combining all of the aforementioned observations, to 0.84 eV
from CMB data alone.


title: Evolution of Gi Fi Technology Over Other Technologies

abstract:
  Gi-Fi stands for Gigabit Wireless. Gi-Fi is a wireless transmission system
which is ten times faster than other technology and its chip delivers
short-range multigigabit data transfer in a local environment. Gi-Fi is a
wireless technology which promises high speed short range data transfers with
speeds of up to 5 Gbps within a range of 10 meters. The Gi-Fi operates on the
60GHz frequency band. This frequency band is currently mostly unused. It is
manufactured using (CMOS) technology. This wireless technology named as Gi-Fi.
The benefits and features of this new technology can be helpful for use in
development of the next generation of devices and places. In this paper, the
comparison is perform between Gi-Fi and some of existing technologies with very
high speed large files transfers within seconds it is expected that Gi-Fi to be
the preferred wireless technology used in home and office of future.


title: Nonlinear thermovoltage and thermocurrent in quantum dots

abstract:
  Quantum dots are model systems for quantum thermoelectric behavior because of
the ability to control and measure the effects of electron-energy filtering and
quantum confinement on thermoelectric properties. Interestingly, nonlinear
thermoelectric properties of such small systems can modify the efficiency of
thermoelectric power conversion. Using quantum dots embedded in semiconductor
nanowires, we measure thermovoltage and thermocurrent that are strongly
nonlinear in the applied thermal bias. We show that most of the observed
nonlinear effects can be understood in terms of a renormalization of the
quantum-dot energy levels as a function of applied thermal bias and provide a
theoretical model of the nonlinear thermovoltage taking renormalization into
account. Furthermore, we propose a theory that explains a possible source of
the observed, pronounced renormalization effect by the melting of Kondo
correlations in the mixed-valence regime. The ability to control nonlinear
thermoelectric behavior expands the range in which quantum thermoelectric
effects may be used for efficient energy conversion.


title: X-Shooter spectroscopy of brown dwarfs in the TW Hya association

abstract:
  We present broad-band mid-resolution X-Shooter/VLT spectra for four brown
dwarfs of the TW Hya association. Our targets comprise substellar analogs
representing the different evolutionary phases in young stellar evolution: For
the two diskless brown dwarfs, TWA-26 and TWA-29, we determine the stellar
parameters and we study their chromospheric emission line spectrum. For the two
accreting brown dwarfs, TWA-27 and TWA-28, we estimate the mass accretion rates
from empirical correlations between emission line luminosities and the
accretion luminosity.


title: On the use of normal forms in the propagation of random waves

abstract:
  We consider the evolution of the correlations between the Fourier coeficients
of a solution of the Kamdostev-Petviavshvili II equation when these
coefficients are initially independent random variables. We use the structure
of normal forms of the equation to prove that those correlations remain small
until times of order $\varepsilon^{-5/3}$ or $\varepsilon^{-2}$ depending on
the quantity considered.


title:
Reactions forming C(0,+)n=2,10, Cn=2,4H(0,+) and C3H(0,+) in the gas
  phase: semi empirical branching ratios

abstract:
  The aim of this paper is to provide a new set of branching ratios for
interstellar and planetary chemical networks based on a semi empirical model.
We applied, instead of zero order theory (i.e. only the most exoergic decaying
channel is considered), a statistical microcanonical model based on the
construction of breakdown curves and using experimental high velocity collision
branching ratios for their parametriza- tion. We applied the model to
ion-molecule, neutral-neutral, and ion-pair reactions implemented in the few
popular databases for astrochemistry such as KIDA, OSU and UMIST. We studied
the reactions of carbon and hydrocarbon species with electrons, He+, H+, CH+,
CH, C, and C+ leading to intermediate complexes of the type Cn=2,10, Cn=2,4 H,
C3 H2, C+n=2,10, Cn=2,4 H+, or C3 H+2 . Comparison of predictions with
measurements supports the validity of the model. Huge deviations with respect
to database values are often obtained. Effects of the new branching ratios in
time dependant chemistry for dark clouds and for photodissociation region
chemistry with conditions similar to those found in the Horsehead Nebula are
discussed.


title:
Bond orientational ordering in liquids: Towards a unified description of
  water-like anomalies, liquid-liquid transition, glass transition, and
  crystallization

abstract:
  There are at least three fundamental states of matter, depending upon
temperature and pressure: gas, liquid, and solid (crystal). These states are
separated by first-order phase transitions between them. In both gas and liquid
phases the complete translational and rotational symmetry exist, whereas in a
solid phase both symmetries are broken. In intermediate phases between liquid
and solid, which include liquid crystal and plastic crystal phases, only one of
the two symmetries is preserved. Among the fundamental states of matter, the
liquid state is most poorly understood. We argue that it is crucial for a
better understanding of liquid to recognize that a liquid generally has a
tendency to have local structural order and its presence is intrinsic and
universal to any liquid. Such structural ordering is a consequence of many body
correlations, more specifically, bond angle correlations, which we believe are
crucial for the description of the liquid state. We show that this physical
picture may naturally explain difficult unsolved problems associated with the
liquid state, such as anomalies of water-type liquids (water, Si, Ge, ...),
liquid-liquid transition, liquid-glass transition, crystallization and
quasicrystal formation, in a unified manner. In other words, we need a new
order parameter representing low local free-energy configuration, which is bond
orientational order parameter in many cases, in addition to density order
parameter for the physical description of these phenomena. Here we review our
two-order-parameter model of liquid and consider how transient local structural
ordering is linked to all of the above-mentioned phenomena. The relationship
between these phenomena are also discussed.

categories: cond-mat.soft cond-mat.dis-nn cond-mat.mtrl-sci cond-mat.stat-mech physics.chem-ph


title: Uniqueness for the 2-D Euler equations on domains with corners

abstract:
  For a large class of non smooth bounded domains, existence of a global weak
solution of the 2D Euler equations, with bounded vorticity, was established by
G\'erard-Varet and Lacave. In the case of sharp domains, the question of
uniqueness for such weak solutions is more involved due to the bad behavior of
$\Delta^{-1}$ close to the boundary. In the present work, we show uniqueness
for any bounded and simply connected domain with a finite number of corners of
angles smaller than $\pi/2$. Our strategy relies on a log-Lipschitz type
regularity for the velocity field.


title: On the Interpolation of Analytic Maps

abstract:
  Let (E_0,E_1) and (H_0,H_1) be a pair of Banach spaces with dense and
continuous embeddings E_1 into E_0, H_1 into H_0. For $\theta \in [0,1]$ denote
by $B_\theta(0,R)$ the ball of radius R centered at zero in the interpolation
spaces E_\theta. Assume that an analytic map $\Phi$ maps the ball B_0(0,R) into
H_0, $\Phi$ maps B_1(0,R) into H_1 and for $\theta =0,1$ the estimates $$
\|\Phi(x)\|_{H_\theta} \le C_\theta\|x\|_{H_\theta}, \forall\ x\in
B_\theta(0,R), $$ hold. Then for all $\theta\in(0, 1)$ and r<R $\Phi$ maps the
ball $B_\theta (0,r)$ into $H_\theta$ and the same estimate holds for $x\in
B_\theta(0,r)$ if the constant $C_\theta$ is replaced by
$C_0^{1-\theta}C_1^\theta R/(R-r)$.


title:
A Primal-Dual Continuous LP Method on the Multi-choice Multi-best
  Secretary Problem

abstract:
  The J-choice K-best secretary problem, also known as the (J,K)-secretary
problem, is a generalization of the classical secretary problem. An algorithm
for the (J,K)-secretary problem is allowed to make J choices and the payoff to
be maximized is the expected number of items chosen among the K best items.
  Previous works analyzed the case when the total number n of items is finite,
and considered what happens when n grows. However, for general J and K, the
optimal solution for finite n is difficult to analyze. Instead, we prove a
formal connection between the finite model and the infinite model, where there
are countably infinite number of items, each attached with a random arrival
time drawn independently and uniformly from [0,1].
  We use primal-dual continuous linear programming techniques to analyze a
class of infinite algorithms, which are general enough to capture the
asymptotic behavior of the finite model with large number of items. Our
techniques allow us to prove that the optimal solution can be achieved by the
(J,K)-Threshold Algorithm, which has a nice "rational description" for the case
K = 1.


title: Congruence testing for odd subgroups of the modular group

abstract:
  We give a computationally effective criterion for determining whether a
finite-index subgroup of SL(2, Z) is a congruence subgroup, extending earlier
work of Hsu for subgroups of PSL(2, Z).


title: Simulation Un-Symmetrical 2 Phase Induction Motor

abstract:
  The equations of unsymmetrical 2-phase induction motors are established and a
computer representation is developed from these equations. Computer
representation of single phase motors are developed by extension and
modification of the unsymmetrical 2-phase induction motors representation.
These equations of an unsymmetrical 2-phase induction motors are describe the
dynamic performance of equations of unsymmetrical 2-phase induction motors. The
system is simulated to verify its capability such as input phase voltage,
stator and rotor currents, electromagnetic torque and rotor speed. The
performance of an unsymmetrical 2-p


title: The Stacking in Bulk and Bilayer Hexagonal Boron Nitride

abstract:
  The stacking orders in layered hexagonal boron nitride bulk and bilayers are
studied using high-level ab initio theory (local second-order Moller-Plesset
perturbation theory, LMP2). Our results show that both electrostatic and London
dispersion interactions are responsible for interlayer distance and stacking
order, with AA' being the most stable one. The minimum energy sliding path
includes only the AA' high-symmetry stacking, and the energy barrier is 3.4 meV
per atom for the bilayer. State-of-the-art Density-functionals with and without
London dispersion correction fail to correctly describe the interlayer energies
with the exception of PBEsol that agrees very well with our LMP2 results and
experiment.


title: Global dimensions of rings with respect to a semidualizing module

abstract:
  In this paper, the notion of strongly G_C-projective and injective modules is
introduced, where C is a semidualizing module. Using these modules we can
obtain a new characterization of G_C-projective and injective modules, similar
to the one of projective modules by the free modules. We then define and study
the global dimensions of rings relative to a semidualizing module C, and prove
that the global G_C-projective dimension of a ring R is equal to the global
G_C-injective dimension of R.


title: Noncompact asymptotically harmonic manifolds

abstract:
  In this article we consider asymptotically harmonic manifolds which are
simply connected complete Riemannian manifolds without conjugate points such
that all horospheres have the same constant mean curvature $h$. We prove the
following equivalences for asymptotically harmonic manifolds $X$ under the
additional assumption that their curvature tensor together with its covariant
derivative are uniformly bounded: (a) $X$ has rank one; (b) $X$ has Anosov
geodesic flow; (c) $X$ is Gromov hyperbolic; (d) $X$ has purely exponential
volume growth with volume entropy equals $h$. This generalizes earlier results
by G. Knieper for noncompact harmonic manifolds and by A. Zimmer for
asymptotically harmonic manifolds admitting compact quotients.


title:
The Fractal and The Recurrence Equations Concerning The Integer
  Partitions

abstract:
  This paper introduced a way of fractal to solve the problem of taking count
of the integer partitions, furthermore, using the method in this paper some
recurrence equations concerning the integer partitions can be deduced,
including the pentagonal number theorem.


title: Hyperstability of a functional equation

abstract:
  The aim of this paper is to prove that the parametric fundamental equation of
information is hyperstable on its open as well as on its closed domain,
assuming that the parameter is negative. As a corollary of the main result, it
is also proved that the system of equation that defines the alpha-recursive
information measures is stable.


title: Decoupling with random quantum circuits

abstract:
  Decoupling has become a central concept in quantum information theory with
applications including proving coding theorems, randomness extraction and the
study of conditions for reaching thermal equilibrium. However, our
understanding of the dynamics that lead to decoupling is limited. In fact, the
only families of transformations that are known to lead to decoupling are
(approximate) unitary two-designs, i.e., measures over the unitary group which
behave like the Haar measure as far as the first two moments are concerned.
Such families include for example random quantum circuits with O(n^2) gates,
where n is the number of qubits in the system under consideration. In fact, all
known constructions of decoupling circuits use \Omega(n^2) gates.
  Here, we prove that random quantum circuits with O(n log^2 n) gates satisfy
an essentially optimal decoupling theorem. In addition, these circuits can be
implemented in depth O(log^3 n). This proves that decoupling can happen in a
time that scales polylogarithmically in the number of particles in the system,
provided all the particles are allowed to interact. Our proof does not proceed
by showing that such circuits are approximate two-designs in the usual sense,
but rather we directly analyze the decoupling property.


title: Notes on the characterization of derivations

abstract:
  Although the characterization of ring derivations has an extensive
literature, up to now, all of the characterizations have had the following
form: additivity and another property imply that the function in question is a
derivation. The aim of this note is to point out that derivations can be
described via a single equation.


title: Derivations and linear functions along rational functions

abstract:
  The main purpose of this paper is to give characterization theorems on
derivations as well as on linear functions. Among others the following problem
will be investigated: Let $n\in\mathbb{Z}$, $f, g\colon\mathbb{R}\to\mathbb{R}$
be additive functions, $<{array}{cc} a&b c&d
{array}>\in\mathbf{GL}_{2}(\mathbb{Q})$ be arbitrarily fixed, and let us assume
that the mapping \[
  \phi(x)=g<\frac{ax^{n}+b}{cx^{n}+d}>-\frac{x^{n-1}f(x)}{(cx^{n}+d)^{2}} \quad
<x\in\mathbb{R}, cx^{n}+d\neq 0> \] satisfies some regularity on its domain
(e.g. (locally) boundedness, continuity, measurability). Is it true that in
this case the above functions can be represented as a sum of a derivation and a
linear function? Analogous statements ensuring linearity will also be
presented.


title: Kleene Algebras and Semimodules for Energy Problems

abstract:
  With the purpose of unifying a number of approaches to energy problems found
in the literature, we introduce generalized energy automata. These are finite
automata whose edges are labeled with energy functions that define how energy
levels evolve during transitions. Uncovering a close connection between energy
problems and reachability and B\"uchi acceptance for semiring-weighted
automata, we show that these generalized energy problems are decidable. We also
provide complexity results for important special cases.


title: Nucleon-nucleon collision profile and cross section fluctuations

abstract:
  The nucleon-nucleon collision profile, being the basic entity of the wounded
nucleon model, is usually adopted in the form of hard sphere or the Gaussian
shape. We suggest that the cross section fluctuations given by the gamma
distribution leads to the profile function which smoothly ranges between the
both limiting forms. Examples demonstrating sensitivity of profile function on
cross section fluctuations are discussed.


title: Cosmic dark radiation and neutrinos

abstract:
  New measurements of the cosmic microwave background (CMB) by the Planck
mission have greatly increased our knowledge about the Universe. Dark
radiation, a weakly interacting component of radiation, is one of the important
ingredients in our cosmological model which is testable by Planck and other
observational probes. At the moment the possible existence of dark radiation is
an unsolved question. For instance, the discrepancy between the value of the
Hubble constant, H_0, inferred from the Planck data and local measurements of
H_0 can to some extent be alleviated by enlarging the minimal LambdaCDM model
to include additional relativistic degrees of freedom. From a fundamental
physics point of view dark radiation is no less interesting. Indeed, it could
well be one of the most accessible windows to physics beyond the standard
model. An example of this is that sterile neutrinos, hinted at in terrestrial
oscillation experiments, might also be a source of dark radiation, and
cosmological observations can therefore be used to test specific particle
physics models. Here we review the most recent cosmological results including a
complete investigation of the dark radiation sector in order to provide an
overview of models that are still compatible with new cosmological
observations. Furthermore we update the cosmological constraints on neutrino
physics and dark radiation properties focussing on tensions between data sets
and degeneracies among parameters that can degrade our information or mimic the
existence of extra species.


title: Hyers--Ulam stability of derivations and linear functions

abstract:
  In this paper the following implication is verified for certain basic
algebraic curves: if the additive real function $f$ approximately (i.e., with a
bounded error) satisfies the derivation rule along the graph of the algebraic
curve in consideration, then $f$ can be represented as the sum of a derivation
and a linear function. When, instead of the additivity of $f$, it is assumed
that, in addition, the Cauchy difference of $f$ is bounded, a stability theorem
is obtained for such characterizations of derivations.


title: Split subvarieties of group embeddings

abstract:
  Let G be a connected reductive group and X an equivariant compactifiction of
G. In X, we study generalised and opposite generalised Schubert varieties,
their intersections called generalised Richardson varieties and projected
generalised Richardson varieties. Any complete G-embedding has a canonical
Frobenius splitting and we prove that the compatibly split subvarieties are the
generalised projected Richardson varieties extending a result of Knutson, Lam
and Speyer to the situation.


title:
On the weak solutions to the equations of a compressible heat conducting
  gas

abstract:
  We consider the weak solutions to the Euler-Fourier system describing the
motion of a compressible heat conducting gas. Employing the method of convex
integration, we show that the problem admits infinitely many global-in-time
weak solutions for any choice of smooth initial data. We also show that for any
initial distribution of the density and temperature, there exists an initial
velocity such that the associated initial-value problem possesses infinitely
many solutions that conserve the total energy.


title: Fibered spherical 3-orbifolds

abstract:
  In early 1930s Seifert and Threlfall classified up to conjugacy the finite
subgroups of $\mathrm{SO}(4)$, this gives an algebraic classification of
orientable spherical 3-orbifolds. For the most part, spherical 3-orbifolds are
Seifert fibered. The underlying topological space and singular set of
non-fibered spherical 3-orbifolds were described by Dunbar. In this paper we
deal with the fibered case and in particular we give explicit formulae relating
the finite subgroups of $\mathrm{SO}(4)$ with the invariants of the
corresponding fibered 3-orbifolds. This allows to deduce directly from the
algebraic classification topological properties of spherical 3-orbifolds.


title:
A Novel Steganography Algorithm for Hiding Text in Image using Five
  Modulus Method

abstract:
  The needs for steganographic techniques for hiding secret message inside
images have been arise. This paper is to create a practical steganographic
implementation to hide text inside grey scale images. The secret message is
hidden inside the cover image using Five Modulus Method. The novel algorithm is
called (ST-FMM. FMM which consists of transforming all the pixels within the
5X5 window size into its corresponding multiples of 5. After that, the secret
message is hidden inside the 5X5 window as a non-multiples of 5. Since the
modulus of non-multiples of 5 are 1,2,3 and 4, therefore; if the reminder is
one of these, then this pixel represents a secret character. The secret key
that has to be sent is the window size. The main advantage of this novel
algorithm is to keep the size of the cover image constant while the secret
message increased in size. Peak signal-to-noise ratio is captured for each of
the images tested. Based on the PSNR value of each images, the stego image has
high PSNR value. Hence this new steganography algorithm is very efficient to
hide the data inside the image.