title: A canonical Ramsey theorem for exactly $m$-coloured complete subgraphs

abstract:
  Given an edge colouring of a graph with a set of $m$ colours, we say that the
graph is (exactly) $m$-coloured if each of the colours is used. We consider
edge colourings of the complete graph on $\mathbb{N}$ with infinitely many
colours and show that either one can find an $m$-coloured complete subgraph for
every natural number $m$ or there exists an infinite subset $X \subset
\mathbb{N}$ coloured in one of two canonical ways: either the colouring is
injective on $X$ or there exists a distinguished vertex $v$ in $X$ such that $X
\setminus \lbrace v \rbrace$ is $1$-coloured and each edge between $v$ and $X
\setminus \lbrace v \rbrace$ has a distinct colour (all different to the colour
used on $X \setminus \lbrace v \rbrace$). This answers a question posed by
Stacey and Weidl in 1999. The techniques that we develop also enable us to
resolve some further questions about finding $m$-coloured complete subgraphs in
colourings with finitely many colours.


title:
$Z_2$ index for gapless fermionic modes in the vortex core of three
  dimensional paired Dirac fermions

abstract:
  We consider the gapless modes along the vortex line of the fully gapped,
momentum independent paired states of three-dimensional Dirac fermions. For
this, we require the solution of fermion zero modes of the corresponding
two-dimensional problem in the presence of a point vortex, in the plane
perpendicular to the vortex line. Based on the spectral symmetry requirement
for the existence of the zero mode, we identify the appropriate generalized
Jackiw-Rossi Hamiltonians for different paired states. A four-dimensional
generalized Jackiw-Rossi Hamiltonian possesses spectral symmetry with respect
to an antiunitary operator, and gives rise to a single zero mode only for the
{\em odd vorticity}, which is formally described by a $Z_2$ index. In the
presence of generic perturbations such as chemical potential, Dirac mass, and
Zeeman couplings, the associated two-dimensional problem for the odd parity
topological superconducting state maps onto {\em two} copies of generalized
Jackiw-Rossi Hamiltonian, and consequently an odd vortex binds two Majorana
fermions. In contrast, there are no zero energy states for the topologically
trivial $s$-wave superconductor in the presence of any chiral symmetry breaking
perturbation in the particle-hole channel, such as regular Dirac mass. We show
that the number of one-dimensional dispersive modes along the vortex line is
also determined by the index of the associated two-dimensional problem. For an
axial superfluid state in the presence of various perturbations, we discuss the
consequences of the $Z_2$ index on the anomaly equations.


title:
The Hawking Temperature in the context of Dark Energy for
  Reissner-Nordstrom and Kerr background

abstract:
  For emergent gravity metrics, presence of dark energy modifies the Hawking
temperature. We show that for the spherically symmetric Reissner-Nordstrom (RN)
background metric, the emergent metric can be mapped into a Robinson-Trautman
blackhole. Allowed values of the dark energy density follow from rather general
conditions. For some allowed value of the dark energy density this blackhole
can have zero Hawking temperature i.e. the blackhole does not radiate. For a
Kerr background along $\theta=0$, the emergent blackhole metric satisfies
Einstein's equations for large $r$ and always radiates. Our analysis is done in
the context of emergent gravity metrics having $k-$essence scalar fields $\phi$
with a Born-Infeld type lagrangian. In both cases the scalar field
$\phi(r,t)=\phi_{1}(r)+\phi_{2}(t)$ also satisfies the emergent gravity
equations of motion for $r\rightarrow\infty$ and $\theta=0$.
  \keywords{dark energy, k-essence, Reissner-Nordstrom and Kerr blackholes}
  \pacs{98.80.-k ;95.36.+x}


title: Bianchi Type-$V$ cosmology in $f(R,T)$ gravity with $\Lambda(T)$

abstract:
  A new class of cosmological models in $f(R, T)$ modified theories of gravity
proposed by Harko et al. (2011), where the gravitational Lagrangian is given by
an arbitrary function of Ricci scalar $R$ and the trace of the stress-energy
tensor $T$, have been investigated for a specific choice of $f(R, T) = f_{1}(R)
+ f_{2}(T)$ by considering time dependent deceleration parameter. The concept
of time dependent deceleration parameter (DP) with some proper assumptions
yield the average scale factor $a(t) = \sinh^{\frac{1}{n}}(\alpha t)$, where
$n$ and $\alpha$ are positive constants. For $0 < n \leq 1$, this generates a
class of accelerating models while for $n > 1$, the models of universe exhibit
phase transition from early decelerating phase to present accelerating phase
which is in good agreement with the results from recent astrophysical
observations. Our intention is to reconstruct $f(R,T)$ models inspired by this
special law for the deceleration parameter in connection with the theories of
modified gravity. In the present study we consider the cosmological constant
$\Lambda$ as a function of the trace of the stress energy-momentum-tensor, and
dub such a model "$\Lambda(T)$ gravity" where we have specified a certain form
of $\Lambda(T)$. Such models may display better uniformity with the
cosmological observations. The statefinder diagnostic pair $\{r,s\}$ parameter
has been embraced to characterize different phases of the universe. We also
discuss the physical consequences of the derived models.


title:
Power-Law and Logarithmic Entropy-Corrected Ricci Viscous Dark Energy
  and Dynamics of Scalar Fields

abstract:
  In this work, I consider the logarithmic-corrected and the power-law
corrected versions of the holographic dark energy (HDE) model in the non-flat
FRW universe filled with a viscous Dark Energy (DE) interacting with Dark
Matter (DM). We propose to replace the infra-red cut-off with the inverse of
the Ricci scalar curvature $R$. I obtain the equation of state (EoS) parameter
$\omega_{\Lambda}$, the deceleration parameter $q$ and the evolution of energy
density parameter $\Omega_D'$ in the presence of interaction between DE and DM
for both corrections. I study the correspondence of the logarithmic entropy
corrected Ricci Dark Dnergy (LECRDE) and power-law entropy corrected Ricci Dark
Energy (PLECRDE) models with the the Modified Chaplygin Gas (MCG) and some
scalar fields including tachyon, K-essence, dilaton and quintessence. I also
make comparisons with previous results.


title:
Unveiling the nature of the unidentified gamma-ray sources I: a new
  method for the association of gamma-ray blazars

abstract:
  We present a new method for identifying blazar candidates by examining the
locus, i.e. the region occupied by the Fermi gamma-ray blazars in the
three-dimensional color space defined by the WISE infrared colors. This method
is a refinement of our previous approach that made use of the two-dimensional
projection of the distribution of WISE gamma-ray emitting blazars (the Strip)
in the three WISE color-color planes (Massaro et al. 2012a). In this paper, we
define the three-dimensional locus by means of a Principal Component (PCs)
analysis of the colors distribution of a large sample of blazars composed by
all the ROMA-BZCAT sources with counterparts in the WISE All-Sky Catalog and
associated to gamma-ray source in the second Fermi LAT catalog (the WISE Fermi
Blazars sample, WFB). Our new procedure yields a total completeness of c~81%
and total efficiency of e~97%. We also obtain local estimates of the efficiency
and completeness as functions of the WISE colors and galactic coordinates of
the candidate blazars. The catalog of all WISE candidate blazars associated to
the WFB sample is also presented, complemented by archival multi-frequency
information for the alternative associations. Finally, we apply the new
association procedure to all gamma-ray blazars in the 2FGL and provide a
catalog containing all the gamma-ray candidates blazars selected according to
our procedure.


title: HH 114 MMS: a new chemically active outflow

abstract:
  Context. A small group of bipolar protostellar outflows display strong
emission from shock-tracer molecules such as SiO and CH3OH, and are generally
referred to as "chemically active." The best-studied outflow from this group is
the one in L 1157. Aims. We study the molecular emission from the bipolar
outflow powered by the very young stellar object HH 114 MMS and compare its
chemical composition with that of the L1157 outflow. Methods. We have used the
IRAM 30m radio telescope to observe a number of transitions from CO, SiO,
CH3OH, SO, CS, HCN, and HCO+ toward the HH 114 MMS outflow. The observations
consist of maps and a two-position molecular survey. Results. The HH 114 MMS
outflow presents strong emission from a number of shock-tracer molecules that
dominate the appearance of the maps around the central source. The abundance of
these molecules is comparable to the abundance in L 1157. Conclusions. The
outflow from HH 114 MMS is a spectacular new case of a chemically active
outflow.


title: Energy Extraction from Spinning Black Holes via Relativistic Jets

abstract:
  It has for long been an article of faith among astrophysicists that black
hole spin energy is responsible for powering the relativistic jets seen in
accreting black holes. Two recent advances have strengthened the case. First,
numerical general relativistic magnetohydrodynamic simulations of accreting
spinning black holes show that relativistic jets form spontaneously. In at
least some cases, there is unambiguous evidence that much of the jet energy
comes from the black hole, not the disk. Second, spin parameters of a number of
accreting stellar-mass black holes have been measured. For ballistic jets from
these systems, it is found that the radio luminosity of the jet correlates with
the spin of the black hole. This suggests a causal relationship between black
hole spin and jet power, presumably due to a generalized Penrose process.


title:
Photometric Redshifts and Systematic Variations in the SEDs of Luminous
  Red Galaxies from the SDSS DR7

abstract:
  We describe the construction of a template set of spectral energy
distributions (SEDs) for the estimation of photometric redshifts of luminous
red galaxies (LRGs) with a Bayesian template fitting method. By examining the
color properties of several publicly available SED sets within a redshift range
of 0<z<0.5 and comparing them to SDSS DR7 data, we show that only some of the
investigated SEDs approximately match the colors of the LRG data throughout the
redshift range, however not at the quantitative level required for precise
photometric redshifts. We generate new SEDs by superposing model SEDs of
composite stellar populations with a burst model, allowing both components to
be reddened by dust, in order to match the data in five different redshift
bins. We select a set of SEDs which represents the LRG data in color space
within five redshift bins, thus defining our new SED template set for
photometric redshift estimates. The results we get with the new template set
and our Bayesian template fitting photometric redshift code (PhotoZ) are nearly
unbiased, with a scatter of \sigma(\Delta z)=0.027 (including outliers), and a
fraction of catastrophic outliers (|z_phot-z_spec|/(1+z_spec)>0.15) of 0.12%.
We show that templates that optimally describe the brightest galaxies
(-24.5<M_R<-22.7) indeed vary from z=0.1 to z=0.5, consistent with aging of the
stellar population. Furthermore, we find that templates that optimally describe
galaxies at z<0.1 strongly differ as a function of the absolute magnitude of
the galaxies, indicating an increase in star formation activity for less
luminous galaxies. Our findings based on the photometry of the SDSS LRGs and
our SED template fitting are supported by comparison to the average SDSS LRG
spectra in different luminosity and redshift bins.


title:
Monopoles in 2+1-dimensional conformal field theories with global U(1)
  symmetry

abstract:
  In 2+1-dimensional conformal field theories with a global U(1) symmetry,
monopoles can be introduced through a background gauge field that couples to
the U(1) conserved current. We use the state-operator correspondence to
calculate scaling dimensions of such monopoles. We obtain the next-to-leading
term in the 1/N_b expansion of the Wilson-Fisher fixed point in the theory of
N_b complex bosons.


title: The Millimeter Astronomy Legacy Team 90 GHz Survey (MALT90) and ALMA

abstract:
  ALMA will revolutionize our understanding of star formation within our
galaxy, but before we can use ALMA we need to know where to look. The
Millimeter Astronomy Legacy Team 90 GHz (MALT90) Survey is a large
international project to map the molecular line emission of over 2,000 dense
clumps in the Galactic plane. MALT90 serves as a pathfinder for ALMA, providing
a large public database of dense molecular clumps associated with high-mass
star formation. In this proceedings, we describe the survey parameters and
share early science highlights from the survey, including (1) a comparison
between galactic and extragalactic star formation relations, (2) chemical
trends in MALT90 clumps, (3) the distribution of high-mass star formation in
the Milky Way, and (4) a discussion of the Brick, the target of successful ALMA
Cycle 0 and Cycle 1 proposals.


title: Axiverse cosmology and the energy scale of inflation

abstract:
  Ultra-light axions ($m_a\lesssim 10^{-18}$eV), motivated by string theory,
can be a powerful probe of the energy scale of inflation. In contrast to
heavier axions the isocurvature modes in the ultra-light axions can coexist
with observable gravitational waves. Here it is shown that large scale
structure constraints severely limit the parameter space for axion mass,
density fraction and isocurvature amplitude. It is also shown that radically
different CMB observables for the ultra-light axion isocurvature mode
additionally reduce this space. The results of a new, accurate and efficient
method to calculate this isocurvature power spectrum are presented, and can be
used to constrain ultra-light axions and inflation.


title: Toy Models for Galaxy Formation versus Simulations

abstract:
  We describe simple useful toy models for key processes of galaxy formation in
its most active phase, at z > 1, and test the approximate expressions against
the typical behaviour in a suite of high-resolution hydro-cosmological
simulations of massive galaxies at z = 4-1. We address in particular the
evolution of (a) the total mass inflow rate from the cosmic web into galactic
haloes based on the EPS approximation, (b) the penetration of baryonic streams
into the inner galaxy, (c) the disc size, (d) the implied steady-state gas
content and star-formation rate (SFR) in the galaxy subject to mass
conservation and a universal star-formation law, (e) the inflow rate within the
disc to a central bulge and black hole as derived using energy conservation and
self-regulated Q ~ 1 violent disc instability (VDI), and (f) the implied steady
state in the disc and bulge. The toy models provide useful approximations for
the behaviour of the simulated galaxies. We find that (a) the inflow rate is
proportional to mass and to (1+z)^5/2, (b) the penetration to the inner halo is
~50% at z = 4-2, (c) the disc radius is ~5% of the virial radius, (d) the
galaxies reach a steady state with the SFR following the accretion rate into
the galaxy, (e) there is an intense gas inflow through the disc, comparable to
the SFR, following the predictions of VDI, and (f) the galaxies approach a
steady state with the bulge mass comparable to the disc mass, where the
draining of gas by SFR, outflows and disc inflows is replenished by fresh
accretion. Given the agreement with simulations, these toy models are useful
for understanding the complex phenomena in simple terms and for
back-of-the-envelope predictions.


title:
Dark matter in the Inert Doublet Model after the discovery of a
  Higgs-like boson at the LHC

abstract:
  We examine the Inert Doublet Model in light of the discovery of a Higgs-like
boson with a mass of roughly 126 GeV at the LHC. We evaluate one-loop
corrections to the scalar masses and perform a numerical solution of the
one-loop renormalization group equations. Demanding vacuum stability,
perturbativity, and S-matrix unitarity, we compute the scale up to which the
model can be extrapolated. From this we derive constraints on the model
parameters in the presence of a 126 GeV Higgs boson. We perform an improved
calculation of the dark matter relic density with the Higgs mass fixed to the
measured value, taking into account the effects of three- and four-body final
states resulting from off-shell production of gauge bosons in dark matter
annihilation. Issues related to direct detection of dark matter are discussed,
in particular the role of hadronic uncertainties. The predictions for the
interesting decay mode h ->\gamma \gamma\ are presented for scenarios which
fulfill all model constraints, and we discuss how a potential enhancement of
this rate from the charged inert scalar is related to the properties of dark
matter in this model. We also apply LHC limits on Higgs boson decays to
invisible final states, which provide additional constraints on the mass of the
dark matter candidate. Finally, we propose three benchmark points that capture
different aspects of the relevant phenomenology.


title: Sterile Neutrino Oscillations: The Global Picture

abstract:
  Neutrino oscillations involving eV-scale neutrino mass states are
investigated in the context of global neutrino oscillation data including short
and long-baseline accelerator, reactor, and radioactive source experiments, as
well as atmospheric and solar neutrinos. We consider sterile neutrino mass
schemes involving one or two mass-squared differences at the eV^2 scale denoted
by 3+1, 3+2, and 1+3+1. We discuss the hints for eV-scale neutrinos from nu_e
disappearance (reactor and Gallium anomalies) and nu_mu->nu_e appearance (LSND
and MiniBooNE) searches, and we present constraints on sterile neutrino mixing
from nu_mu and neutral-current disappearance data. An explanation of all hints
in terms of oscillations suffers from severe tension between appearance and
disappearance data. The best compatibility is obtained in the 1+3+1 scheme with
a p-value of 0.2% and exceedingly worse compatibilities in the 3+1 and 3+2
schemes.


title:
Experimental demonstration of bias rejection from electrostatic
  accelerometer measurements

abstract:
  In order to test gravitation in the Solar System, it is necessary to improve
the orbit restitution of interplanetary spacecrafts. The addition of an
accelerometer on board is a major step toward this goal because this instrument
measures the non-gravitational acceleration of the spacecraft. It must be able
to perform measurements at low frequencies with no bias to provide an
additional observable of interest.
  Since electrostatic accelerometers suffer a bias, a technological upgrade has
been proposed by Onera. It consists in adding to an electrostatic accelerometer
a rotating platform which allows modulating the signal of interest and
retrieving it without bias after post-processing. Using this principle, a
measurement method and a post-processing method have been developed. The
objective of this article is to validate these methods experimentally. To do
so, a horizontally controlled pendulum was used to apply a known signal to an
accelerometer mounted on a rotating platform. The processing of the
experimental data demonstrates the ability to make acceleration measurements
with no bias. In addition, the experimental precision on the unbiased
acceleration obtained after post-processing corresponds to the precision
predicted theoretically.

categories: physics.ins-det gr-qc physics.data-an physics.space-ph


title: The Radius Distribution of Planets Around Cool Stars

abstract:
  We calculate an empirical, non-parametric estimate of the shape of the
period-marginalized radius distribution of planets with periods less than 150
days using the small yet well-characterized sample of cool ($T_{\rm eff} <4000
$K) dwarf stars in the Kepler catalog. In particular, we present and validate a
new procedure, based on weighted kernel density estimation, to reconstruct the
shape of the planet radius function down to radii smaller than the completeness
limit of the survey at the longest periods. Under the assumption that the
period distribution of planets does not change dramatically with planet radius,
we show that the occurrence of planets around these stars continues to increase
to below 1 $R_\oplus$, and that there is no strong evidence for a turnover in
the planet radius function. In fact, we demonstrate using many iterations of
simulated data that a spurious turnover may be inferred from data even when the
true distribution continues to rise toward smaller radii. Finally, the sharp
rise in the radius distribution below $\sim$3 $R_\oplus$ implies that a large
number of planets await discovery around cool dwarfs as the sensitivities of
ground-based transit surveys increase.


title:
The MAGellanic Inter-Cloud project (MAGIC) I: Evidence for
  intermediate-age stellar populations in between the Magellanic Clouds

abstract:
  The origin of the gas in between the Magellanic Clouds (MCs) -- known as the
`Magellanic Bridge' (MB) -- is puzzling. Numerical simulations suggest that the
MB formed from tidally stripped gas and stars in a recent interaction between
the MCs. However, the apparent lack of stripped intermediate- or old-age stars
associated with the MB is at odds with this picture. In this paper, we present
the first results from the MAGellanic Inter-Cloud program (MAGIC) aimed at
probing the stellar populations in the inter-cloud region. We present
observations of the stellar populations in two large fields located in between
the Large and Small Magellanic Clouds (LMC/SMC), secured using the WFI camera
on the 2.2 m telescope in La Silla. Using a synthetic color-magnitude diagram
(CMD) technique, we present the first quantitative evidence for the presence of
intermediate-age and old stars in the inter-Cloud region. The intermediate-age
stars -- that make up ~28% of all stars in the region -- are not present in
fields at a similar distance from the SMC in a direction pointing away from the
LMC. This provides potential evidence that these intermediate-age stars could
have been tidally stripped from the SMC. However, spectroscopic studies will be
needed to confirm or rule out the tidal origin for the inter-Cloud gas and
stars.


title: Two Dimensional Renormalization Group Flows in Next to Leading Order

abstract:
  Zamolodchikov's famous analysis of the RG trajectory connecting successive
minimal CFT models $M_p$ and $M_{p-1}$ for $p\gg 1$, is improved by including
second order in coupling constant corrections. This allows to compute IR
quantities with next to leading order accuracy of the $1/p$ expansion. We
compute in particular, the beta function and the anomalous dimensions for
certain classes of fields. As a result we are able to identify with a greater
accuracy the IR limit of these fields with certain linear combination of the IR
theory $M_{p-1}$. We discuss the relation of these results with Gaotto's recent
RG domain wall proposal.


title: Uniform asymptotic approximation of diffusion to a small target

abstract:
  The problem of the time required for a diffusing molecule, within a large
bounded domain, to first locate a small target is prevalent in biological
modeling. Here we study this problem for a small spherical target. We develop
uniform in time asymptotic expansions in the target radius of the solution to
the corresponding diffusion equation. Our approach is based on combining
short-time expansions using pseudo-potential approximations with long-time
expansions based on first eigenvalue and eigenfunction approximations. These
expansions allow the calculation of corresponding expansions of the first
passage time density for the diffusing molecule to find the target. We
demonstrate the accuracy of our method in approximating the first passage time
density and related statistics for the spherically symmetric problem where the
domain is a large concentric sphere about a small target centered at the
origin.


title:
The fermionic observable in the Ising model and the inverse Kac-Ward
  operator

abstract:
  We show that the critical Kac-Ward operator on isoradial graphs acts in a
certain sense as the operator of s-holomorphicity, and we identify the
fermionic observable for the spin Ising model as the inverse of this operator.
This result is partially a consequence of a more general observation that the
inverse Kac-Ward operator for any planar graph is given by what we call a
fermionic generating function. Furthermore, using bounds for the spectral
radius and operator norm of the Kac-Ward transition matrix, we provide a
general picture of the non-backtracking walk representation of the critical and
supercritical inverse Kac-Ward operators on isoradial graphs.


title: String Submodular Functions with Curvature Constraints

abstract:
  The problem of objectively choosing a string of actions to optimize an
objective function that is string submodular has been considered in [1]. There
it is shown that the greedy strategy, consisting of a string of actions that
only locally maximizes the step-wise gain in the objective function achieves at
least a (1-e^{-1})-approximation to the optimal strategy. This paper improves
this approximation by introducing additional constraints on curvatures, namely,
total backward curvature, total forward curvature, and elemental forward
curvature. We show that if the objective function has total backward curvature
\sigma, then the greedy strategy achieves at least a
\frac{1}{\sigma}(1-e^{-\sigma})-approximation of the optimal strategy. If the
objective function has total forward curvature \epsilon, then the greedy
strategy achieves at least a (1-\epsilon)-approximation of the optimal
strategy. Moreover, we consider a generalization of the diminishing-return
property by defining the elemental forward curvature. We also consider the
problem of maximizing the objective function subject to general a
string-matroid constraint. We investigate an applications of string submodular
functions with curvature constraints.


title: Sincroniza\c{c}\~ao em Redes Complexas: Estabilidade e Persist\^encia

abstract:
  We investigate emergence of the global collective behavior in networks of
diffusively coupled identical oscillators, which in the established model is an
invariant manifold of the motion equations. The interaction is modeled with the
graph theory and dynamical systems theory. We use the uniform contractions
theory in non-autonomous linear differential equations to address the criterion
under the global coupling parameter, which it turns defines the synchronized
motion and it stability under small linear and non-linear perturbations. The
critical global interaction parameter is given only by the isolated dynamics,
by the spectral properties of the coupling function and the second eigenvalue
network laplacian.


title:
WatSen: Design and testing of a prototype mid-IR spectrometer and
  microscope package for Mars exploration

abstract:
  We have designed and built a compact breadboard prototype instrument called
WatSen: a combined ATR mid-IR spectrometer, fixed-focus microscope, and
humidity sensor. The instrument package is enclosed in a rugged cylindrical
casing only 26mm in diameter. The functionality, reliability and performance of
the instrument was tested in an environment chamber set up to resemble martian
surface conditions. The effective wavelength range of the spectrometer is 6.2 -
10.3 micron with a resolution delta-wavelength/wavelength = 0.015. This allows
detection of silicates and carbonates, including an indication of the presence
of water (ice). Spectra of clusters of grains < 1mm across were acquired that
are comparable with spectra of the same material obtained using a commercial
system. The microscope focuses through the diamond ATR crystal. Colour images
of the grains being spectroscopically analysed are obtainable with a resolution
of ~ 20 micron.


title:
The role of elastic and inelastic processes in the temperature
  dependence of Hall induced resistance oscillations in strong magnetic fields

abstract:
  We develop a model of magnetoresistance oscillations induced by the Hall
field in order to study the temperature dependence observed in recent
experiments. The model is based on the solution of the von Neumann equation
incorporating the exact dynamics of two-dimensional damped electrons in the
presence of arbitrarily strong magnetic and dc electric fields, while the
effects of randomly distributed neutral and charged impurities are
perturbatively added. Both the effects of elastic impurity scattering as well
as those related to inelastic processes play an important role. The theoretical
predictions correctly reproduce the main experimental features provided that
the inelastic scattering rate obeys a $T^2$ temperature dependence, consistent
with electron-electron interaction effects.


title: Time Driven Subwavelength Focusing with Negative Refraction

abstract:
  Flat lens concept based on negative refraction proposed by Veselago in 1968
has been mostly investigated in monochromatic regime. It was recently
recognized that time development of the super-lensing effect discovered in 2000
by Pendry is yet to be assessed and may spring surprises: Time-dependent
illumination could improve the spatial resolution of the focusing. We
investigate dynamics of flexural wave focusing by a 45\degre-tilted square
lattice of circular holes drilled in a Duraluminium plate. Time-resolved
experiments reveal that the focused image shrinks with time below diffraction
limit, with a lateral resolution increasing from 0.8 $\lambda$ to 0.35
$\lambda$, whereas focusing under harmonic excitation remains diffraction
limited. Modal analysis reveals the role in pulse reconstruction of radiating
lens resonances, which repeatedly self-synchronize at the focal spot to shape a
super-oscillating field.


title: Upper limits for PH3 and H2S in Titan's Atmosphere from Cassini CIRS

abstract:
  We have searched for the presence of simple P and S-bearing molecules in
Titan's atmosphere, by looking for the characteristic signatures of phosphine
and hydrogen sulfide in infrared spectra obtained by Cassini CIRS. As a result
we have placed the first upper limits on the stratospheric abundances, which
are 1 ppb (PH3) and 330 ppb (H2S), at the 2-sigma significance level.


title:
Formation and evolution of interstellar filaments; Hints from velocity
  dispersion measurements

abstract:
  We investigate the gas velocity dispersions of a sample of filaments recently
detected as part of the Herschel Gould Belt Survey in the IC5146, Aquila, and
Polaris interstellar clouds. To measure these velocity dispersions, we use
13CO, C18O, and N2H+ line observations obtained with the IRAM 30m telescope.
Correlating our velocity dispersion measurements with the filament column
densities derived from Herschel data, we show that interstellar filaments can
be divided into two regimes: thermally subcritical filaments, which have
transonic velocity dispersions (c_s ~< \sigma_tot < 2 c_s) independent of
column density, and are gravitationally unbound; and thermally supercritical
filaments, which have higher velocity dispersions scaling roughly as the square
root of column density (\sigma_tot ~ \Sigma^0.5), and are self-gravitating. The
higher velocity dispersions of supercritical filaments may not directly arise
from supersonic interstellar turbulence but may be driven by gravitational
contraction/accretion. Based on our observational results, we propose an
evolutionary scenario whereby supercritical filaments undergo gravitational
contraction and increase in mass per unit length through accretion of
background material while remaining in rough virial balance. We further suggest
that this accretion process allows supercritical filaments to keep their
approximately constant inner widths (~ 0.1 pc) while contracting.


title: Quantum Speedup and Categorical Distributivity

abstract:
  This paper studies one of the best known quantum algorithms - Shor's
factorisation algorithm - via categorical distributivity. A key aim of the
paper is to provide a minimal set of categorical requirements for key parts of
the algorithm, in order to establish the most general setting in which the
required operations may be performed efficiently.
  We demonstrate that Laplaza's theory of coherence for distributivity provides
a purely categorical proof of the operational equivalence of two quantum
circuits, with the notable property that one is exponentially more efficient
than the other. This equivalence also exists in a wide range of categories.
  When applied to the category of finite dimensional Hilbert spaces, we recover
the usual efficient implementation of the quantum oracles at the heart of both
Shor's algorithm and quantum period-finding generally; however, it is also
applicable in a much wider range of settings.


title: Stochastic Service Curve and Delay Bound Analysis: A Single Node Case

abstract:
  A packet-switched network node with constant capacity (in bps) is considered,
where packets within each flow are served in the first in first out (FIFO)
manner. While this single node system is perhaps the simplest computer
communication system, its stochastic service curve characterization and
independent case analysis in the context of stochastic network calculus
(snetcal) are still basic and many crucial questions surprisingly remain open.
Specifically, when the input is a single flow, what stochastic service curve
and delay bound does the node provide? When the considered flow shares the node
with another flow, what stochastic service curve and delay bound does the node
provide to the considered flow, and if the two flows are independent, can this
independence be made use of and how? The aim of this paper is to provide
answers to these fundamental questions.


title: Lithium abundance in the metal-poor open cluster NGC 2243

abstract:
  Lithium is a fundamental element for studying the mixing mechanisms acting in
the stellar interiors, for understanding the chemical evolution of the Galaxy
and the Big Bang nucleosynthesis. The study of Li in stars of open clusters
(hereafter OC) allows a detailed comparison with stellar evolutionary models
and permits us to trace its galactic evolution. The OC NGC 2243 is particularly
interesting because of its low metallicity ([Fe/H]=$-0.54 \pm0.10$ dex). We
measure the iron and lithium abundance in stars of the metal-poor OC NGC 2243.
The first aim is to determine whether the Li dip extends to such low
metallicities, the second is to compare the results of our Li analysis in this
OC with those present in 47 Tuc, a globular cluster of similar metallicity. We
performed a detailed analysis of high-resolution spectra obtained with the
multi-object facility FLAMES at the ESO VLT 8.2m telescope. Lithium abundance
was derived through line equivalent widths and the OSMARCS atmosphere models.
We determine a Li dip center of 1.06 $M_\odot$, which is much smaller than that
observed in solar metallicity and metal-rich clusters. This finding confirms
and strengthens the conclusion that the mass of the stars in the Li dip
strongly depends on stellar metallicity. The mean Li abundance of the cluster
is $\log n{\rm (Li)}=2.70$ dex, which is substantially higher than that
observed in 47 Tuc. We estimated an iron abundance of [Fe/H]=$-0.54 \pm0.10$
dex for NGC 2243, which is similar (within the errors) to previous findings.
The [$ \alpha$/Fe] content ranges from $0.00\pm0.14$ for Ca to $0.20\pm0.22$
for Ti, which is low when compared to thick disk stars and to Pop II stars, but
compatible with thin disk objects. We found a mean radial velocity of 61.9
$\pm$ 0.8 \kms for the cluster.


title: Stellar Multiplicity

abstract:
  Stellar multiplicity is an ubiquitous outcome of the star formation process.
Characterizing the frequency and main characteristics of multiple systems and
their dependencies on primary mass and environment is therefore a powerful tool
to probe this process. While early attempts were fraught with selection biases
and limited completeness, instrumentation breakthroughs in the last two decades
now enable robust analyses. In this review, we summarize our current empirical
knowledge of stellar multiplicity for Main Sequence stars and brown dwarfs, as
well as among populations of Pre-Main Sequence stars and embedded protostars.
Clear trends as a function of both primary mass and stellar evolutionary stage
are identified that will serve as a comparison basis for numerical and
analytical models of star formation.


title: Theory of approximation and continuity of random processes

abstract:
  We introduce and investigate a new notion of the theory of approximation-the
so-called degenerate approximation, i.e. approximation of the function of two
(and more) variables (kernel) by means of degenerate function (kernel).
  We apply obtained results to the investigation of the local structure of
random processes, for example, we find the necessary and sufficient condition
for continuity of Gaussian and non-Gaussian processes, some conditions for weak
compactness and convergence of a family of random processes, in particular, for
Central Limit Theorem in the space of continuous functions.
  We give also many examples in order to illustrate the exactness of proved
theorems.


title: Four Years of Fermi LAT Observations of Narrow-Line Seyfert 1 Galaxies

abstract:
  Before the launch of the Fermi satellite only two classes of AGN were known
to generate relativistic jets and thus emit up to the gamma-ray energy range:
blazars and radio galaxies, both hosted in giant elliptical galaxies. The first
two years of observations by the Large Area Telescope (LAT) on board Fermi
confirmed that these two are the most numerous classes of identified sources in
the extragalactic gamma-ray sky, but the discovery of variable gamma-ray
emission from 5 radio-loud Narrow-Line Seyfert 1 galaxies (NLSy1s) revealed the
presence of a possible emerging third class of AGN with relativistic jets.
Considering also that NLSy1s are typically hosted in spiral galaxy, this
finding poses intriguing questions about the nature of these objects, the onset
of production of relativistic jets, and the cosmological evolution of
radio-loud AGN. Here, we report on a preliminary investigation of the
properties of this sample of radio-loud NLSy1 at MeV-GeV photon energies,
utilizing the four-year accumulation of Fermi LAT data. In addition we briefly
discuss some radio-to-gamma-rays properties of the gamma-ray emitting NLSy1 in
the context of the blazar scenario.


title: Equivariant weight filtration for real algebraic varieties with action

abstract:
  We show the existence of an equivariant weight filtration on the equivariant
homology of real algebraic varieties equipped with a finite group action, by
applying group homology onto the weight complex of McCrory and Parusi\'nski.
The group action enriches the information contained in the induced equivariant
weight spectral sequence from which we can not extract finite additivity
directly if the group is of even order. Still, we manage to construct additive
invariants from its elementary bricks, and prove that they are induced from the
very equivariant geometry of real algebraic varieties with action, and that
they coincide with Fichou's equivariant virtual Betti numbers in some cases. In
the case of the two-elements group, we recover these through the use of
globally invariant chains and the equivariant version of Guill{\'e}n and
Navarro Aznar's extension criterion.


title:
Invariant Hilbert schemes and desingularizations of symplectic
  reductions for classical groups

abstract:
  Let $G \subset GL(V)$ be a reductive algebraic subgroup acting on the
symplectic vector space $W=(V \oplus V^*)^{\oplus m}$, and let $\mu:\ W
\rightarrow Lie(G)^*$ be the corresponding moment map. In this article, we use
the theory of invariant Hilbert schemes to construct a canonical
desingularization of the symplectic reduction $\mu^{-1}(0)/\!/G$ for classes of
examples where $G=GL(V)$, $O(V)$, or $Sp(V)$. For these classes of examples,
$\mu^{-1}(0)/\!/G$ is isomorphic to the closure of a nilpotent orbit in a
simple Lie algebra, and we compare the Hilbert-Chow morphism with the
(well-known) symplectic desingularizations of $\mu^{-1}(0)/\!/G$.


title: On nonlinear Schrodinger type equations with nonlinear damping

abstract:
  We consider equations of nonlinear Schrodinger type augmented by nonlinear
damping terms. We show that nonlinear damping prevents finite time blow-up in
several situations, which we describe. We also prove that the presence of a
quadratic confinement in all spatial directions drives the solution of our
model to zero for large time. In the case without external potential we prove
that the solution may not go to zero for large time due to (non-trivial)
scattering.


title:
An asymptotic estimate of the variance of the self-intersections of a
  planar periodic Lorentz process

abstract:
  We consider a periodic planar Lorentz process with strictly convex obstacles
and finite horizon. This process describes the displacement of a particle
moving in the plane with unit speed and with elastic reflection on the
obstacles. We call number of self-intersections of this Lorentz process the
number V(n) of couples of integers (k,m) smaller than n such that the particle
hits a same obstacle both at the k-th and at the m-th collision times. The aim
of this paper is to prove that the variance of V(n) is equivalent to cn^2 (such
a result has recently been proved for simple planar random walks by
Deligiannidis and Utev).


title:
Lower estimates for the expected Betti numbers of random real
  hypersurfaces

abstract:
  We estimate from below the expected Betti numbers of real hypersurfaces taken
at random in a smooth real projective n-dimensional manifold. These random
hypersurfaces are chosen in the linear system of a large d-th power of a real
ample line bundle equipped with a Hermitian metric of positive curvature. As
for the upper bounds that we recently established, these lower bounds read as a
product of a constant which only depends on the dimension n of the manifold
with the K\"ahlerian volume of its real locus RX and d^{n/2}. Actually, any
closed affine real algebraic hypersurface appears with positive probability as
part of such random real hypersurfaces in any ball of RX of radius O(d^{-1/2}).


title:
Type-theoretical natural language semantics: on the system F for meaning
  assembly

abstract:
  This paper presents and extends our type theoretical framework for a
compositional treatment of natural language semantics with some lexical
features like coercions (e.g. of a town into a football club) and copredication
(e.g. on a town as a set of people and as a location). The second order typed
lambda calculus was shown to be a good framework, and here we discuss how to
introduced predefined types and coercive subtyping which are much more natural
than internally coded similar constructs. Linguistic applications of these new
features are also exemplified.


title:
Magnetically Active Stars in Taurus-Auriga: Photometric Variability and
  Basic Physical Parameters

abstract:
  The paper presents an analysis of homogeneous long-term photometric
observations of 28 well-known weak-line T Tauri stars (WTTS) and 60 WTTS
candidates detected by the ROSAT observatory in the direction of the
Taurus-Auriga star-forming region. 22 known WTTS and 39 WTTS candidates are
shown to exhibit periodic light variations that are attributable to the
phenomenon of spotted rotational modulation. The rotation periods of these
spotted stars lie within the range from 0.5 to 10 days. Significant differences
between the long-term photometric behaviors of known WTTS and WTTS candidates
have been found. We have calculated accurate luminosities, radii, masses, and
ages for 74 stars. About 33 percent of the sample of WTTS candidates have ages
younger than 10 Myr. The mean distance to 24 WTTS candidates with reliable
estimates of their radii is shown to be 143+/-26 pc.


title: Combinatorics of affine birational maps

abstract:
  The main object of study of the present paper is the group $\au_n$ of
\emph{unimodular automorphisms} of $\com^n$. Taking $\au_n$ as a working
example, our intention was to develop an approach (or rather an edifice) which
allows one to prove, for instance, the non-simplicity of $\au_n$ for all $n
\geq 3$. More systematic and, perhaps, general exposition will appear
elsewhere.


title:
Nitrogen in the stratosphere of Titan from Cassini CIRS infrared
  spectroscopy

abstract:
  In this chapter we describe the remote sensing measurement of
nitrogen-bearing species in Titan's atmosphere by the Composite Infrared
Spectrometer (CIRS) on the Cassini spacecraft. This instrument, which detects
the thermal infrared spectrum from 10-1500 cm-1 (1000-7 microns) is sensitive
to vibrational emissions of gases and condensates in Titan's stratosphere and
lower mesosphere, permitting the measurement of ambient temperature and the
abundances of gases and particulates. Three N-bearing species are firmly
detected: HCN, HC3N and C2N2, and their vertical and latitudinal distributions
have been mapped. In addition, ices of HC3N and possibly C4N2 are also seen in
the far-infrared spectrum at high latitudes during the northern winter. The
HC(15)N isotopologue has been measured, permitting the inference of the 14N/15N
ratio in this species, which differs markedly (lower) than in the bulk nitrogen
reservoir (N2). We also describe the search in the CIRS spectrum, and inferred
upper limits, for NH3 and CH3CN. CIRS is now observing seasonal transition on
Titan and the gas abundance distributions are changing accordingly, acting as
tracers of the changing atmospheric circulation. The prospects for further CIRS
science in the remaining five years of the Cassini mission are discussed.


title: Dark matter and Higgs bosons in the MSSM

abstract:
  We investigate dark matter (DM) in the context of the minimal supersymmetric
extension of the standard model (MSSM). We scan through the MSSM parameter
space and search for solutions that (a) are consistent with the Higgs discovery
and other collider searches; (b) satisfy the flavor constraints from $B$
physics; (c) give a DM candidate with the correct thermal relic density; and
(d) are allowed by the DM direct detection experiments. For the surviving
models with our parameter scan, we find the following features: (1) The DM
candidate is largely a Bino-like neutralino with non-zero but less than $20\%$
Wino and Higgsino fractions; (2) The relic density requirement clearly pins
down the solutions from the $Z$ and Higgs resonances ($Z,h,H,A$ funnels) and
co-annihilations; (3) Future direct search experiments will likely fully cover
the $Z,h$ funnel regions, and $H,A$ funnel regions as well except for the
"blind spots"; (4) Future indirect search experiments will be more sensitive to
the CP-odd Higgs exchange due to its $s$-wave nature; (5) The branching
fraction for the SM-like Higgs decay to DM can be as high as $10\%$, while
those from heavier Higgs decays to neutralinos and charginos can be as high as
$20\%$. We show that collider searches provide valuable information
complementary to what may be obtained from direct detections and astroparticle
observations. In particular, the $Z$- and $h$-funnels with a predicted low LSP
mass should be accessible at future colliders. Overall, the Higgs bosons may
play an essential role as the portal to the dark sector.


title: Field theory of the quantum Hall nematic transition

abstract:
  The topological physics of quantum Hall states is efficiently encoded in
purely topological quantum field theories of the Chern-Simons type. The
reliable inclusion of low-energy dynamical properties in a continuum
description however typically requires proximity to a quantum critical point.
We construct a field theory that describes the quantum transition from an
isotropic to a nematic Laughlin liquid. The soft mode associated with this
transition approached from the isotropic side is identified as the familiar
intra-Landau level Girvin-MacDonald-Platzman mode. We obtain z=2 dynamic
scaling at the critical point and a description of Goldstone and defect physics
on the nematic side. Despite the very different physical motivation, our field
theory is essentially identical to a recent "geometric" field theory for a
Laughlin liquid proposed by Haldane.


title:
One Loop Field Strengths of Charges and Dipoles on a Locally de Sitter
  Background

abstract:
  We use the one loop vacuum polarization induced by scalar quantum
electrodynamics to compute the electric and magnetic fields of point charges
and magnetic dipoles on a locally de Sitter background. Our results are
consistent with the physical picture of an inflating universe filling with a
vast sea of charged particles as more and more virtual infrared scalar are
ripped out of the vacuum. One consequence is that vacuum polarization quickly
becomes nonperturbatively strong. Our computation employs the Schwinger-Keldysh
effective field equations and is done in flat, conformal coordinates. Results
are also obtained for static coordinates.


title:
First-Principles Calculations of Luminescence Spectrum Line Shapes for
  Defects in Semiconductors: The Example of GaN and ZnO

abstract:
  We present a theoretical study of broadening of defect luminescence bands due
to vibronic coupling. Numerical proof is provided for the commonly used
assumption that a multi-dimensional vibrational problem can be mapped onto an
effective one-dimensional configuration coordinate diagram. Our approach is
implemented based on density functional theory with a hybrid functional,
resulting in luminescence lineshapes for important defects in GaN and ZnO that
show unprecedented agreement with experiment. We find clear trends concerning
effective parameters that characterize luminescence bands of donor- and
acceptor-type defects, thus facilitating their identification.


title: Stable Cosmic Vortons

abstract:
  We present for the first time solutions in the gauged $U(1)\times U(1)$ model
of Witten describing vortons -- spinning flux loops stabilized against
contraction by the centrifugal force. Vortons were heuristically described many
years ago, however, the corresponding field theory solutions were not obtained
and so the stability issue remained open. We construct explicitly a family of
stationary vortons characterized by their charge and angular momentum. Most of
them are unstable and break in pieces when perturbed. However, thick vortons
with small radius preserve their form in the 3+1 non-linear dynamical
evolution. This gives the first ever evidence of stable vortons and impacts
several branches of physics where they could potentially exist. These range
from cosmology, since vortons could perhaps contribute to dark matter, to QCD
and condensed matter physics.


title:
Generalized Clifford-Severi Inequality and the Volume of Irregular
  Varieties

abstract:
  We give a sharp lower bound for the selfintersection of a nef line bundle $L$
on an irregular variety $X$ in terms of its continuous global sections and the
Albanese dimension of $X$, which we call the Generalized Clifford-Severi
inequality. We also extend the result to nef vector bundles and give a slope
inequality for fibred irregular varieties. As a byproduct we obtain a lower
bound for the volume of irregular varieties; when $X$ is of maximal Albanese
dimension the bound is $Vol(X) \geq 2 n! \chi\omega_X$ and it is sharp.


title:
Co-development of significant elastic and reversible plastic deformation
  in nanowires

abstract:
  When a material is subjected to an applied stress, the material will
experience recoverable elastic deformation followed by permanent plastic
deformation at the point when the applied stress exceeds the yield stress of
the material. Microscopically, the onset of the plasticity usually indicates
the activation of dislocation motion, which is considered to be the primary
mechanism of plastic deformation. Once plastic deformation is initiated,
further elastic deformation is negligible owing to the limited increase in the
flow stress caused by work hardening. Here we present experimental evidence and
quantitative analysis of simultaneous development of significant elastic
deformation and dislocation-based plastic deformation in single crystal GaAs
nanowires (NWs) under bending deformation up to a total strain of ~ 6%. The
observation is in sharp contrast to the previous notions regarding the
deformation modes. Most of the plastic deformation recovers spontaneously when
the external stress is released, and therefore resembles an elastic deformation
process.


title: Data Retrieval over DNS in SQL Injection Attacks

abstract:
  This paper describes an advanced SQL injection technique where DNS resolution
process is exploited for retrieval of malicious SQL query results. Resulting
DNS requests are intercepted by attackers themselves at the controlled remote
name server extracting valuable data. Open source SQL injection tool sqlmap has
been adjusted to automate this task. With modifications done, attackers are
able to use this technique for fast and low profile data retrieval, especially
in cases where other standard ones fail.


title:
Effects of intrinsic fluctuations in a prototypical chemical oscillator:
  metastability and switching

abstract:
  Intrinsic or demographic noise has been shown to play an important role in
the dynamics of a variety of systems including predator-prey populations,
intracellular biochemical reactions, and oscillatory chemical reaction systems,
and is known to give rise to oscillations and pattern formation well outside
the parameter range predicted by standard mean-field analysis. Initially
motivated by an experimental model of cells and tissues where the cells are
represented by chemical reagents isolated in emulsion droplets, we study the
stochastic Brusselator, a simple activator-inhibitor chemical reaction model.
Our work builds on the results of recent studies and looks to understand the
role played by intrinsic fluctuations when the timescale of the inhibitor
species is fast compared to that of the activator. In this limit, we observe a
noise induced switching between small and large amplitude oscillations that
persists for large system sizes (N), and deep into the non oscillatory part of
the mean-field phase diagram. We obtain a scaling relation for the first
passage times between the two oscillating states. From our scaling function, we
show that the first passage times have a well defined form in the large N
limit. Thus in the limit of small noise and large timescale separation a
careful treatment of the noise will lead to a set of non-trivial deterministic
equations different from those obtained from the standard mean-field limit.


title: On Optimal Jamming Over an Additive Noise Channel

abstract:
  This paper considers the problem of optimal zero-delay jamming over an
additive noise channel. Early work had already solved this problem for a
Gaussian source and channel. Building on a sequence of recent results on
conditions for linearity of optimal estimation, and of optimal mappings in
source-channel coding, we derive the saddle-point solution to the jamming
problem for general sources and channels, without recourse to Gaussian
assumptions. We show that linearity conditions play a pivotal role in jamming,
in the sense that the optimal jamming strategy is to effectively force both
transmitter and receiver to default to linear mappings, i.e., the jammer
ensures, whenever possible, that the transmitter and receiver cannot benefit
from non-linear strategies. This result is shown to subsume the known result
for Gaussian source and channel. We analyze conditions and general settings
where such unbeatable strategy can indeed be achieved by the jammer. Moreover,
we provide the procedure to approximate optimal jamming in the remaining
(source-channel) cases where the jammer cannot impose linearity on the
transmitter and the receiver.


title: Non-Gaussian Shape Recognition

abstract:
  A detection of primordial non-Gaussianity could transform our understanding
of the fundamental theory of inflation. The precision promised by upcoming CMB
and large-scale structure surveys raises a natural question: if a detection
given a particular template is made, what does this truly tell us about the
underlying theory? In this paper we present a systematic way to constrain a
wide range of non-Gaussian shapes, including general single and multi-field
models and models with excited initial states. We present a separable,
divergent basis able to recreate many shapes in the literature to high accuracy
with between three and seven basis functions. The basis allows shapes to be
grouped into broad "template classes", satisfying theoretically-relevant priors
on their divergence properties in the squeezed limit. We forecast how well a
Planck-like CMB survey could not only detect a general non-Gaussian signal but
discern more about its shape, using existing templates and new ones we propose.
This approach offers an opportunity to tie together minimal theoretical priors
with observational constraints on the shape in general, and in the squeezed
limit, to gain a deeper insight into what drove inflation.


title:
Variation in the escape fraction of ionising photons from galaxies and
  the redshifted 21-cm power spectrum during reionization

abstract:
  The observed power spectrum of redshifted 21cm fluctuations is known to be
sensitive to the astrophysical properties of the galaxies that drove
reionization. Thus, detailed measurements of the 21cm power spectrum and its
evolution could lead to measurements of the properties of early galaxies that
are otherwise inaccessible. In this paper, we study the effect of mass and
redshift dependent escape fractions of ionizing radiation on the ability of
forthcoming experiments to constrain galaxy formation via the redshifted 21cm
power spectrum. We use a model for reionization which combines the hierarchical
galaxy formation model GALFORM implemented within the Millennium-II dark matter
simulation, with a semi-numerical scheme to describe the resulting ionization
structure. Using this model we show that the structure and distribution of
ionised regions at fixed neutral fraction, and hence the slope and amplitude of
the 21 cm power spectrum, is dependent on the variation of ionising photon
escape fraction with galaxy mass and redshift. However, we find that the
influence of the unknown escape fraction and its evolution is smaller than the
dominant astrophysical effect provided by SNe feedback strength in high
redshift galaxies. The unknown escape fraction of ionizing radiation from
galaxies is therefore unlikely to prevent measurement of the properties of high
redshift star formation using observations of the 21cm power spectrum.


title: Object-based high contrast travel time tomography

abstract:
  We consider travel time tomography problems involving detection of high
contrast, discrete high velocity structures. This results in a discrete
nonlinear inverse problem, for which traditional grid-based models and
iterative linearized least-squares reconstruction algorithms are not suitable.
This is because travel paths change significantly near the high contrast
velocity structure, making it more difficult to inversely calculate the travel
path and infer the velocity along the path. We propose a model-based approach
to describe the high velocity structure using pre-defined elementary objects.
Compared to a grid-based model, our approach has complexity that increases as a
function of the number of objects, rather than increasing with the number of
cells (usually very large). A new reconstruction algorithm is developed that
provides estimates of the probability that a high velocity structure appears at
any point in the region of interest. Simulation results show that our method
can efficiently sample the model parameter space, and we map the model
parameters into the high velocity structures in spatial domain to generate a
"probability map", which represent the appearance of the high velocity
structure in different regions. We show the probability map not only gives the
highest probability to the optimal solution, but also includes other possible
models as well.


title:
Inverse problems in Additive Number Theory and in Non-Abelian Group
  Theory

abstract:
  The aim of this paper is threefold:
  a) Finding new direct and inverse results in the additive number theory
concerning Minkowski sums of dilates.
  b) Finding a connection between the above results and some direct and inverse
problems in the theory of Baumslag-Solitar (non-abelian) groups.
  c) Solving certain inverse problems in Baumslag-Solitar groups or monoids,
assuming appropriate small doubling properties.


title:
A pathway-based mean-field model for E. coli chemotaxis: Mathematical
  derivation and Keller-Segel limit

abstract:
  A pathway-based mean-field theory (PBMFT) was recently proposed for E. coli
chemotaxis in [G. Si, T. Wu, Q. Quyang and Y. Tu, Phys. Rev. Lett., 109 (2012),
048101]. In this paper, we derived a new moment system of PBMFT by using the
moment closure technique in kinetic theory under the assumption that the
methylation level is locally concentrated. The new system is hyperbolic with
linear convection terms. Under certain assumptions, the new system can recover
the original model. Especially the assumption on the methylation difference
made there can be understood explicitly in this new moment system. We obtain
the Keller-Segel limit by taking into account the different physical time
scales of tumbling, adaptation and the experimental observations. We also
present numerical evidence to show the quantitative agreement of the moment
system with the individual based E. coli chemotaxis simulator.


title:
Online Learning in Markov Decision Processes with Adversarially Chosen
  Transition Probability Distributions

abstract:
  We study the problem of learning Markov decision processes with finite state
and action spaces when the transition probability distributions and loss
functions are chosen adversarially and are allowed to change with time. We
introduce an algorithm whose regret with respect to any policy in a comparison
class grows as the square root of the number of rounds of the game, provided
the transition probabilities satisfy a uniform mixing condition. Our approach
is efficient as long as the comparison class is polynomial and we can compute
expectations over sample paths for each policy. Designing an efficient
algorithm with small regret for the general case remains an open problem.


title: On the convergence of the Calabi flow

abstract:
  Suppose there is a constant scalar curvature metric on a compact Kahler
manifold without holomorphic vector field. We prove that the Calabi flow, if it
is assumed to exist for all time with bounded Ricci curvature, will converge to
the constant scalar curvature metric.


title:
Optimal enumeration of state space of finitely buffered stochastic
  molecular networks and exact computation of steady state landscape
  probability

abstract:
  Stochasticity plays important roles in molecular networks when molecular
concentrations are in the range of $0.1 \mu$M to $10 n$M (about 100 to 10
copies in a cell). The chemical master equation provides a fundamental
framework for studying these networks, and the time-varying landscape
probability distribution over the full microstates provide a full
characterization of the network dynamics. A complete characterization of the
space of the microstates is a prerequisite for obtaining the full landscape
probability distribution of a network. However, there are neither closed-form
solutions nor algorithms fully describing all microstates for a given molecular
network.
  We have developed an algorithm that can exhaustively enumerate the
microstates of a molecular network of small copy numbers under the finite
buffer condition that the net gain in newly synthesized molecules is smaller
than a predefined limit. We also describe a simple method for computing the
exact mean or steady state landscape probability distribution over microstates.
We show how the full landscape probability for the gene networks of the
self-regulating gene and the toggle-switch in the steady state can be fully
characterized. We also give an example using the MAPK cascade network.
  Our algorithm works for networks of small copy numbers buffered with a finite
copy number of net molecules that can be synthesized, regardless of the
reaction stoichiometry, and is optimal in both storage and time complexity. The
buffer size is limited by the available memory or disk storage. Our algorithm
is applicable to a class of biological networks when the copy numbers of
molecules are small and the network is closed, or the network is open but the
net gain in newly synthesized molecules does not exceed a predefined buffer
capacity.


title:
Robust Auxiliary Vector Filtering with Constrained Constant Modulus
  Design for Beamforming

abstract:
  This paper proposes an auxiliary vector filtering (AVF) algorithm based on a
constrained constant modulus (CCM) design for robust adaptive beamforming. This
scheme provides an efficient way to deal with filters with a large number of
elements. The proposed beamformer decomposes the adaptive filter into a
constrained (reference vector filters) and an unconstrained (auxiliary vector
filters) components. The weight vector is iterated by subtracting the scaling
auxiliary vector from the reference vector. The scalar factor and the auxiliary
vector depend on each other and are jointly calculated according to the CCM
criterion. The proposed robust AVF algorithm provides an iterative exchange of
information between the scalar factor and the auxiliary vector and thus leads
to a fast convergence and an improved steady-state performance over the
existing techniques. Simulations are performed to show the performance and the
robustness of the proposed scheme and algorithm in several scenarios.


title: Isometry group of Sasaki-Einstein metric

abstract:
  We prove that the identity component of the holomorphic isometry group of a
Sasaki-Einstein metric is the identity component of a maximal compact subgroup
of its automorphism group.


title: On q-Analog of Wolstenholme Type Congruences for Multiple Harmonic Sums

abstract:
  Multiple harmonic sums are iterated generalizations of harmonic sums.
Recently Dilcher has considered congruences involving q-analogs of these sums
in depth one. In this paper we shall study the homogeneous case for arbitrary
depth by using generating functions and shuffle relations of the q-analog of
multiple harmonic sums. At the end, we also consider some non-homogeneous
cases.


title:
Large deviations for interacting Bessel-like processes and applications
  to systemic risk

abstract:
  We establish a process level large deviation principle for systems of
interacting Bessel-like diffusion processes. By establishing weak uniqueness
for the limiting non-local SDE of McKean-Vlasov type, we conclude that the
latter describes the process level hydrodynamic limit of such systems and
obtain a propagation of chaos result. This is the first instance of results of
this type in the context of interacting diffusion processes under explicit
assumptions on the coefficients, where the diffusion coefficients are allowed
to be both non-Lipschitz and degenerate. In the second part of the paper, we
explain how systems of this type naturally arise in the study of stability of
the interbank lending system and describe some financial implications of our
results.


title: A minimally tuned composite Higgs model from an extra dimension

abstract:
  We construct and study the 5D realization of a composite Higgs model with
minimal tuning. The Higgs is a (pseudo-)Goldstone boson from the spontaneous
breaking of a global SO(5) symmetry to an SO(4) subgroup. The peculiarity of
our construction lies in the specific choice of the SO(5) representations of
the 5D fermions from which the Standard Model fields arise as chiral zero
modes. This choice reduces the tuning of these models to the minimal
model-independent value allowed by electroweak precision tests. We analyse the
main differences between our 5D construction and other descriptions in terms of
purely 4D field theories. 5D models are generally more constrained and show a
generic difficulty in accommodating a light Higgs without reintroducing large
corrections to the \hat{S} parameter. We propose a specific construction in
which this tension can be, even though accidentally, relaxed. We discuss the
spectrum of the top partners in the viable regions of parameter space and
predict the existence of light exotic quarks, \Upsilon, of charge 8/3 whose
striking decay channel \Upsilon\to W^+W^+W^+ b can lead to either exclusion or
confirmation of the model in the near future.


title: Probing nuclear dynamics in jet production with a global event shape

abstract:
  We study single jet production in electron-nucleus collisions e^- + N_A -> J
+ X, using the 1-jettiness (\tau_1) global event shape. It inclusively
quantifies the pattern of radiation in the final state, gives enhanced
sensitivity to soft radiation at wide angles from the nuclear beam and
final-state jet, and facilitates the resummation of large Sudakov logarithms
associated with the veto on additional jets. Through their effect on the
observed pattern of radiation, 1-jettiness can be a useful probe of nuclear
PDFs and power corrections from dynamical effects in the nuclear medium. This
formalism allows for the standard jet shape analysis while simultaneously
providing sensitivity to soft radiation at wide angles from the jet. We use a
factorization framework for cross-sections differential in $\tau_1$ and the
transverse momentum (P_{J_T}) and rapidity (y) of the jet, in the region
\tau_1<< P_{J_T}. The restriction $\tau_1 << P_{J_T}$ allows only soft
radiation between the nuclear beam and jet directions, thereby acting as a veto
on additional jets. This region is also insensitive to the details of the jet
algorithm, allowing for better theoretical control over resummation, while
providing enhanced sensitivity to nuclear medium effects. We give numerical
results at leading twist, with resummation at the next-to-next-to-leading
logarithmic (NNLL) level of accuracy, for a variety of nuclear targets. Such
studies would be ideal for the EIC and the LHeC proposals for a future
electron-ion collider, where a range of nuclear targets are planned.


title: Locality and thermalization in closed quantum systems

abstract:
  We derive a necessary and sufficient condition for the thermalization of a
local observable in a closed quantum system which offers an alternative
explanation, independent of the eigenstate thermalization hypothesis, for the
thermalization process. We also show that this approach is useful to
investigate thermalization based on a finite-size scaling of numerical data.
The condition follows from an exact representation of the observable as a sum
of a projection onto the local conserved charges of the system and a projection
onto the non-local ones. We show that thermalization requires that the time
average of the latter part vanishes in the thermodynamic limit while time and
statistical averages for the first part are identical. As an example, we use
this thermalization condition to analyze exact diagonalization data for a
one-dimensional spin model. We find that local correlators do thermalize in the
thermodynamic limit although we find no indications that the eigenstate
thermalization hypothesis applies.


title:
A note on Schwarz-Pick lemma for bounded complex-valued harmonic
  functions in the unit ball of R^n

abstract:
  In this paper we prove a Schwarz-Pick lemma for bounded complex-valued
harmonic functions in the unit ball of R^n.


title: Distillation protocols for Fourier states in quantum computing

abstract:
  Fourier states are multi-qubit registers that facilitate phase rotations in
fault-tolerant quantum computing. We propose distillation protocols for
constructing the fundamental, $n$-qubit Fourier state with error $O(2^{-n})$ at
a cost of $O(n \log n)$ Toffoli gates and Clifford gates, or any arbitrary
Fourier state using $O(n^2)$ gates. We analyze these protocols with methods
from digital signal processing. These results suggest that phase kickback,
which uses Fourier states, could be the current lowest-overhead method for
generating arbitrary phase rotations.


title: Computing Motion with 3D Memristive Grid

abstract:
  Computing the relative motion of objects is an important navigation task that
we routinely perform by relying on inherently unreliable biological cells in
the retina. The non-linear and adaptive response of memristive devices make
them excellent building blocks for realizing complex synaptic-like
architectures that are common in the human retina. Here, we introduce a novel
memristive thresholding scheme that facilitates the detection of moving edges.
In addition, a double-layered 3-D memristive network is employed for modeling
the motion computations that take place in both the Outer Plexiform Layer (OPL)
and Inner Plexiform Layer (IPL) that enables the detection of on-center and
off-center transient responses. Applying the transient detection results, it is
shown that it is possible to generate an estimation of the speed and direction
a moving object.


title:
Exact solution and high temperature series expansion study of the 1/5-th
  depleted square lattice Ising model

abstract:
  The critical behavior of the 1/5-depleted square-lattice Ising model with
nearest neighbor ferromagnetic interaction has been investigated by means of
both an exact solution and a high-temperature series expansion study of the
zero-field susceptibility. For the exact solution we employ a decoration
transformation followed by a mapping to a staggered 8-vertex model. This yields
a quartic equation for the critical coupling giving $K_{c} (\equiv\beta J_{c})
=0.695$. The series expansion for the susceptibility, to $\mathcal{O}(K^{18})$,
when analyzed via standard Pad\'{e} approximant methods gives an estimate of
K$_{c}$, consistent with the exact solution result to at least four significant
figures. The series expansion is also analyzed for the leading amplitude and
subdominant terms.


title:
Lower Bounds on Magnetic Fields in Intergalactic Voids from Long-Term
  GeV-TeV Light Curves of the Blazar Mrk 421

abstract:
  Lower bounds are derived on the amplitude B of intergalactic magnetic fields
(IGMFs) in the region between Galaxy and the blazar Mrk 421, from constraints
on the delayed GeV pair-echo flux that are emitted by secondary e^-e^+ produced
in \gamma\gamma interactions between primary TeV gamma-rays and the cosmic
infrared background. The distribution of galaxies mapped by the Sloan Digital
Sky Survey shows that this region is dominated by a large intergalactic void.
We utilize data from long-term, simultaneous GeV-TeV observations by the Fermi
Large Area Telescope and the ARGO-YBJ experiment extending over 850 days. For
an assumed value of B, we evaluate the daily GeV pair-echo flux expected from
the TeV data, select the dates where this exceeds the Fermi 2-\sigma
sensitivity, compute the probability that this flux is excluded by the Fermi
data for each date, and then combine the probabilities using the inverse normal
method. Consequently, we exclude B < 10^{-20.5} G for a field coherence length
of 1 kpc at 4- \sigma level, as long as plasma instabilities are unimportant
for cooling of the pair beam. This is much more significant than the 2-\sigma
bounds we obtained previously from observations of Mrk 501, by virtue of more
extensive data from the ARGO-YBJ, as well as improved statistical analysis.
Compared with most other studies of IGMF bounds, the evidence we present here
for a non-zero IGMF is more robust as it does not rely on unproven assumptions
on the primary TeV emission during unobserved periods.


title:
Transparency condition in the categories of Yetter-Drinfel'd modules
  over Hopf algebras in braided categories

abstract:
  We study versions of the categories of Yetter-Drinfel'd modules over a Hopf
algebra $H$ in a braided monoidal category $\C$. Contrarywise to Bespalov's
approach, all our structures live in $\C$. This forces $H$ to be transparent or
equivalently to lie in M\"uger's center $\Z_2(\C)$ of $\C$. We prove that
versions of the categories of Yetter-Drinfel'd modules in $\C$ are braided
monoidally isomorphic to the categories of (left/right) modules over the
Drinfel'd double $D(H)\in\C$ for $H$ finite. We obtain that these categories
polarize into two disjoint groups of mutually isomorphic braided monoidal
categories. We conclude that if $H\in\Z_2(\C)$, then ${}_{D(H)}\C$ embeds as a
subcategory into the braided center category $\Z_1({}_H\C)$ of the category
${}_H\C$ of left $H$-modules in $\C$. For $\C$ braided, rigid and cocomplete
and a quasitriangular Hopf algebra $H$ such that $H\in\Z_2(\C)$ we prove that
the whole center category of ${}_H\C$ is monoidally isomorphic to the category
of left modules over $\Aut({}_H\C)\rtimes H$ - the bosonization of the braided
Hopf algebra $\Aut({}_H\C)$ which is the coend in ${}_H\C$. A family of
examples of a transparent Hopf algebras is discussed.


title: Nepenthes Honeypots based Botnet Detection

abstract:
  The numbers of the botnet attacks are increasing day by day and the detection
of botnet spreading in the network has become very challenging. Bots are having
specific characteristics in comparison of normal malware as they are controlled
by the remote master server and usually dont show their behavior like normal
malware until they dont receive any command from their master server. Most of
time bot malware are inactive, hence it is very difficult to detect. Further
the detection or tracking of the network of theses bots requires an
infrastructure that should be able to collect the data from a diverse range of
data sources and correlate the data to bring the bigger picture in view. In
this paper, we are sharing our experience of botnet detection in the private
network as well as in public zone by deploying the nepenthes honeypots. The
automated framework for malware collection using nepenthes and analysis using
anti-virus scan are discussed. The experimental results of botnet detection by
enabling nepenthes honeypots in network are shown. Also we saw that existing
known bots in our network can be detected.


title: Optical Flow Sensing and the Inverse Perception Problem for Flying Bats

abstract:
  The movements of birds, bats, and other flying species are governed by
complex sensorimotor systems that allow the animals to react to stationary
environmental features as well as to wind disturbances, other animals in nearby
airspace, and a wide variety of unexpected challenges. The paper and talk will
describe research that analyzes the three-dimensional trajectories of bats
flying in a habitat in Texas. The trajectories are computed with stereoscopic
methods using data from synchronous thermal videos that were recorded with high
temporal and spatial resolution from three viewpoints. Following our previously
reported work, we examine the possibility that bat trajectories in this habitat
are governed by optical flow sensing that interpolates periodic distance
measurements from echolocation. Using an idealized geometry of bat eyes, we
introduce the concept of time-to-transit, and recall some research that
suggests that this quantity is computed by the animals' visual cortex. Several
steering control laws based on time-to-transit are proposed for an idealized
flight model, and it is shown that these can be used to replicate the observed
flight of what we identify as typical bats. Although the vision-based motion
control laws we propose and the protocols for switching between them are quite
simple, some of the trajectories that have been synthesized are qualitatively
bat-like. Examination of the control protocols that generate these trajectories
suggests that bat motions are governed both by their reactions to a subset of
key feature points as well by their memories of where these feature points are
located.


title:
Automatic, optimized interface placement in forward flux sampling
  simulations

abstract:
  Forward flux sampling (FFS) provides a convenient and efficient way to
simulate rare events in equilibrium or non-equilibrium systems. FFS ratchets
the system from an initial state to a final state via a series of interfaces in
phase space. The efficiency of FFS depends sensitively on the positions of the
interfaces. We present two alternative methods for placing interfaces
automatically and adaptively in their optimal locations, on-the-fly as an FFS
simulation progresses, without prior knowledge or user intervention. These
methods allow the FFS simulation to advance efficiently through bottlenecks in
phase space by placing more interfaces where the probability of advancement is
lower. The methods are demonstrated both for a single-particle test problem and
for the crystallization of Yukawa particles. By removing the need for manual
interface placement, our methods both facilitate the setting up of FFS
simulations and improve their performance, especially for rare events which
involve complex trajectories through phase space, with many bottlenecks.


title: The Poisson equation at second order in relativistic cosmology

abstract:
  We calculate the relativistic constraint equation which relates the curvature
perturbation to the matter density contrast at second order in cosmological
perturbation theory. This relativistic "second order Poisson equation" is
presented in a gauge where the hydrodynamical inhomogeneities coincide with
their Newtonian counterparts exactly for a perfect fluid with constant equation
of state. We use this constraint to introduce primordial non-Gaussianity in the
density contrast in the framework of General Relativity. We then derive
expressions that can be used as initial conditions of N-body codes for
structure formation which probe the observable signature of primordial
non-Gaussianity in the statistics of the evolved matter density field.


title:
Search for the electron electric dipole moment using $\Omega$-doublet
  levels in PbO$^*$

abstract:
  We present results of the first experiment to probe for the electric dipole
moment (EDM) of the electron using an $\Omega$-doublet state in a polar
molecule. If the molecule is both massive and has a large molecular-fixed frame
dipole moment, then the $\Omega$-doublet states have the potential to greatly
increase the sensitivity of experiments searching for the EDM while also
allowing for new methods of systematic error rejection. Here, we use the
metastable $a(1)^3\Sigma^+$ state of lead monoxide (PbO) to probe for the
electron EDM. Our best fit for the electron EDM of $d_e =
(-4.4\pm9.5_\text{stat}\pm1.8_\text{syst})\times10^{-27}\ecm$ allows us to
place an upper limit on the magnitude of the EDM of
$|d_e|<1.7\times10^{-26}\ecm$ (90% confidence). While this is less stringent
than limits from other, previous experiments, our work emphasizes the
systematic error rejection properties associated with the $\Omega$-doublet
level structure. The results should inform the work of other, ongoing
experiments that use molecules with analogous level structure.


title: Higher Tannaka and Beyond

abstract:
  We consider the origins of Higher Tannaka duality, as well as it
consequences. In a first time we review the work of J. Wallbridge on that
subject, which shows in particular that Hopf algebras are essential to
generating Tannakian infinity-categories. While doing so we provide an analysis
of what it means for Higher Tannaka to be a reconstruction program for stacks.
Putting Wallbridge's work in perspective paves the way for causal models in
Higher Category Theory. We introduce two interesting concepts that we deem to
be instrumental within this framework; that of blow-ups of categories as well
as that of fractal infinity-categories.


title: Using Mathematica & Matlab for CAGD/CAD research and education

abstract:
  In CAGD/CAD research and education, users are involved with development of
mathematical algorithms and followed by the analysis of the resultant
algorithm. This process involves geometric display which can only be carried
out with high end graphics display. There are many approaches practiced and one
of the so-called easiest approaches is by using C/C++ programming language and
OpenGL application program interface, API. There are practitioners uses C/C++
programming language to develop the algorithms and finally utilize AutoCAD for
graphics display. On the other hand, high end CAD users manage to use Auto Lisp
as their programming language in AutoCAD. Nevertheless, these traditional ways
are definitely time consuming. This paper introduces an alternative method
whereby the practitioners may maximize scientific computation programs, SCPs:
Mathematica and MATLAB in the context of CAGD/CAD for research and education.


title:
Local compression properties of double-stranded DNA based on a dynamic
  simulation

abstract:
  The local mechanical properties of DNA are believed to play an important role
in their biological functions and DNA-based nanomechanical devices. Using a
simple sphere-tip compression system, the local radial mechanical properties of
DNA are systematically studied by changing the tip size. The compression
simulation results for the 16 nm diameter sphere tip are well consistent with
the experimental results. With the diameter of the tip decreasing, the radial
compressive elastic properties under external loads become sensitive to the tip
size and the local DNA conformation. There appears a suddenly force break in
the compression-force curve when the sphere size is less than or equal to 12 nm
diameter. The analysis of the hydrogen bonds and base stacking interaction
shows there is a local unwinding process occurs. During the local unwinding
process, first the hydrogen bonds between complement base pairs are broken.
With the compression aggregating, the local backbones in the compression center
are unwound from the double helix conformation to a kind of parallel
conformation. This local unwinding behavior deducing by external loads is
helpful to understand the biological process, and important to DNA-based
nanomechanical devices.


title: Mini-Minimax Uncertainty Quantification for Emulators

abstract:
  Consider approximating a "black box" function $f$ by an emulator $\hat{f}$
based on $n$ noiseless observations of $f$. Let $w$ be a point in the domain of
$f$. How big might the error $|\hat{f}(w) - f(w)|$ be? If $f$ could be
arbitrarily rough, this error could be arbitrarily large: we need some
constraint on $f$ besides the data. Suppose $f$ is Lipschitz with known
constant. We find a lower bound on the number of observations required to
ensure that for the best emulator $\hat{f}$ based on the $n$ data, $|\hat{f}(w)
- f(w)| \le \epsilon$. But in general, we will not know whether $f$ is
Lipschitz, much less know its Lipschitz constant. Assume optimistically that
$f$ is Lipschitz-continuous with the smallest constant consistent with the $n$
data. We find the maximum (over such regular $f$) of $|\hat{f}(w) - f(w)|$ for
the best possible emulator $\hat{f}$; we call this the "mini-minimax
uncertainty" at $w$. In reality, $f$ might not be Lipschitz or---if it is---it
might not attain its Lipschitz constant on the data. Hence, the mini-minimax
uncertainty at $w$ could be much smaller than $|\hat{f}(w) - f(w)|$. But if the
mini-minimax uncertainty is large, then---even if $f$ satisfies the optimistic
regularity assumption---$|\hat{f}(w) - f(w)|$ could be large, no matter how
cleverly we choose $\hat{f}$. For the Community Atmosphere Model, the maximum
(over $w$) of the mini-minimax uncertainty based on a set of 1154~observations
of $f$ is no smaller than it would be for a single observation of $f$ at the
centroid of the 21-dimensional parameter space. We also find lower confidence
bounds for quantiles of the mini-minimax uncertainty and its mean over the
domain of $f$. For the Community Atmosphere Model, these lower confidence
bounds are an appreciable fraction of the maximum.


title: Drinfel'd doubles for (2+1)-gravity

abstract:
  All possible Drinfel'd double structures for the anti-de Sitter Lie algebra
so(2,2) and de Sitter Lie algebra so(3,1) in (2+1)-dimensions are explicitly
constructed and analysed in terms of a kinematical basis adapted to
(2+1)-gravity. Each of these structures provides in a canonical way a pairing
among the (anti-)de Sitter generators, as well as a specific classical
r-matrix, and the cosmological constant is included in them as a deformation
parameter. It is shown that four of these structures give rise to a Drinfel'd
double structure for the Poincar\'e algebra iso(2,1) in the limit where the
cosmological constant tends to zero. We explain how these Drinfel'd double
structures are adapted to (2+1)-gravity, and we show that the associated
quantum groups are natural candidates for the quantum group symmetries of
quantised (2+1)-gravity models and their associated non-commutative spacetimes.


title:
The device-independent outlook on quantum physics (lecture notes on the
  power of Bell's theorem)

abstract:
  This text is an introduction to an operational outlook on Bell inequalities,
which has been very fruitful in the past few years. It has lead to the
recognition that Bell tests have their own place in applied quantum
technologies, because they quantify non-classicality in a device-independent
way, that is, without any need to describe the degrees of freedom under study
and the measurements that are performed. At the more fundamental level, the
same device-independent outlook has allowed the falsification of several other
alternative models that could hope to reproduce the observed statistics while
keeping some classical features that quantum theory denies; and it has shed new
light on the long-standing quest for deriving quantum theory from physical
principles.


title: On Adjacency Matrices and Descriptors of Signed Cycle Graphs

abstract:
  This paper deals with adjacency matrices of signed cycle graphs and chemical
descriptors based on them. The eigenvalues and eigenvectors of the matrices are
calculated and their efficacy in classifying different signed cycles is
determined. The efficacy of some numerical indices is also examined.


title: Matrices in the Theory of Signed Simple Graphs

abstract:
  I discuss the work of many authors on various matrices used to study signed
graphs, concentrating on adjacency and incidence matrices and the closely
related topics of Kirchhoff (`Laplacian') matrices, line graphs, and very
strong regularity.


title: Directionally 2-Signed and Bidirected Graphs

abstract:
  An edge uv in a graph \Gamma\ is directionally 2-signed (or, (2,d)-signed) by
an ordered pair (a,b), a,b in {+,-}, if the label l(uv) = (a,b) from u to v,
and l(vu) = (b,a) from v to u. Directionally 2-signed graphs are equivalent to
bidirected graphs, where each end of an edge has a sign. A bidirected graph
implies a signed graph, where each edge has a sign. We extend a theorem of
Sriraj and Sampathkumar by proving that the signed graph is antibalanced (all
even cycles and only even cycles have positive edge sign product) if, and only
if, in the bidirected graph, after suitable reorientation of edges every vertex
is a source or a sink.


title: van der Waals interactions between graphitic nanowiggles

abstract:
  The van der Waals interactions between two parallel graphitic nanowiggles
(GNWs) are calculated using the coupled dipole method (CDM). The CDM is an
efficient and accurate approach to determine such interactions explicitly by
taking into account the discrete atomic structure. Our findings show that the
van der Waals forces vary from attraction to repulsion as nanoribbons move
along their lengths with respect to each other. This feature leads to a number
of stable and unstable positions of the system during the movement process.
These positions can be tuned by changing the length of GNW. Moreover, the
influence of the thermal effect on the van der Waals interactions is also
extensively investigated. This work would give good direction for both future
theoretical and experimental studies.


title:
The Putative Liquid-Liquid Transition is a Liquid-Solid Transition in
  Atomistic Models of Water, Part II

abstract:
  This paper extends our earlier studies of free energy functions of density
and crystalline order parameters for models of supercooled water, which allows
us to examine the possibility of two distinct metastable liquid phases [J.
Chem. Phys. 135, 134503 (2011) and arXiv:1107.0337v2]. Low-temperature
reversible free energy surfaces of several different atomistic models are
computed: mW water, TIP4P/2005 water, SW silicon and ST2 water, the last of
these comparing three different treatments of long-ranged forces. In each case,
we show that there is one stable or metastable liquid phase, and there is an
ice-like crystal phase. The time scales for crystallization in these systems
far exceed those of structural relaxation in the supercooled metastable liquid.
We show how this wide separation in time scales produces an illusion of a
low-temperature liquid-liquid transition. The phenomenon suggesting
metastability of two distinct liquid phases is actually coarsening of the
ordered ice-like phase, which we elucidate using both analytical theory and
computer simulation. For the latter, we describe robust methods for computing
reversible free energy surfaces, and we consider effects of electrostatic
boundary conditions. We show that sensible alterations of models and boundary
conditions produce no qualitative changes in low-temperature phase behaviors of
these systems, only marginal changes in equations of state. On the other hand,
we show that altering sampling time scales can produce large and qualitative
nonequilibrium effects. Recent reports of evidence of a liquid-liquid critical
point in computer simulations of supercooled water are considered in this
light.


title:
Statistical Texture Features based Handwritten and Printed Text
  Classification in South Indian Documents

abstract:
  In this paper, we use statistical texture features for handwritten and
printed text classification. We primarily aim for word level classification in
south Indian scripts. Words are first extracted from the scanned document. For
each extracted word, statistical texture features are computed such as mean,
standard deviation, smoothness, moment, uniformity, entropy and local range
including local entropy. These feature vectors are then used to classify words
via k-NN classifier. We have validated the approach over several different
datasets. Scripts like Kannada, Telugu, Malayalam and Hindi i.e., Devanagari
are primarily employed where an average classification rate of 99.26% is
achieved. In addition, to provide an extensibility of the approach, we address
Roman script by using publicly available dataset and interesting results are
reported.


title: On the matrix equation $XA+AX^T =0$, II: Type 0-I interactions

abstract:
  The matrix equation $XA + AX^T = 0$ was recently introduced by De Ter\'an and
Dopico to study the dimension of congruence orbits. They reduced the study of
this equation to a number of special cases, several of which have not been
explicitly solved. In this note we obtain an explicit, closed-form solution in
the difficult Type 0-I interaction case.


title:
Compact minimal vertical graphs with non-connected boundary in
  $\mathbb{H}^n\times\mathbb{R}$

abstract:
  We study the existence and uniqueness problem of compact minimal vertical
graphs in $\mathbb{H}^n\times\mathbb{R}$, $n\geq 2$, over bounded domains in
the slice $\mathbb{H}^n\times\{0\}$, with non-connected boundary having a
finite number of $C^0$ hypersufaces homeomorphic to the sphere
$\mathbb{S}^{n-1}$, with prescribed bounded continuous boundary data, under
hypotheses relating those data and the geometry of the boundary. We show the
nonexistence of compact minimal vertical graphs in
$\mathbb{H}^n\times\mathbb{R}$ having the boundary in two slices and the height
greater than or equal to $\pi/(2n-2)$.


title:
The forward particle production in the energy range of 1 PeV as seen
  with the Tibet hybrid experiment

abstract:
  We are now operating the 500 m2 Yangbajing air-shower core (YAC-II) array
near the center of the Tibet air-shower array (Tibet-III) to observe cosmic-ray
chemical composition at the knee energy region since February 2011. The first
step of YAC, called YAC-I, containing 16 detector units, was operated from May,
2009 to February, 2010. In this paper, we used the YAC-I and Tibet-III
coincident data set obtained from May, 2009 through January, 2010 to present
the electromagnetic spectrum of air shower cores at around 1015 eV energy
region. The effective live time is calculated as 100.5 days. We would like to
report the comparison of our experimental data with MC model prediction in this
paper.


title:
Competition of different evaluation schemes in the continuous variable
  game

abstract:
  An asymmetric generalization of classical Cournot's duopoly game was
introduced and the simulation scheme of its quantized version was analyzed. In
this scheme, the player assigned by a 'classical' measurement scheme always
wins the player assigned by a quantum measurement scheme. It was shown that the
fluctuation causes the disadvantage game rule of the 'quantum' player.


title:
Neutrino Mass Matrices with Two Equalities Between the Elements or
  Cofactors

abstract:
  We study the implications of the existence of two equalities between the
elements or cofactors of the neutrino mass matrix. There are sixty five
structures of this type for each case. Phenomenological implications for
unknown parameters like the effective Majorana mass of the electron neutrino
and CP-violating phases are examined for the viable cases. To illustrate how
such forms of the neutrino mass matrices may be realized, we also present a
simple $A_4$ model for one of the classes in each case.