title:
The Galactic Spatial Distribution of OB Associations and Their
  Surrounding Supernova-Generated Superbubble

abstract:
  Core collapse supernovae of massive (> 8 Mo) stars are formed primarily in OB
associations and help blow giant superbubbles, where their collective shocks
accelerate most of the Galactic cosmic rays. The spatial distribution of these
stars is thus important to our understanding of the propagation of the observed
cosmic rays. In order to better model the Galactic cosmic-ray distribution and
propagation, we construct s three-dimensional spatial model of the massive star
distribution based primarily on the emission of the H II envelopes surrounding
the giant superbubbles which are maintaned by the ionizing radiation of the
embedded O stars. The Galactic longitudinal distribution of the 205 micron N II
rsdistion emitted by these H II envelopes is used to infer the spatial
distribution of the superbubbles. We find that the Galactic superbubble
distribution is dominated by the contribution of massive star clusters residing
in the spiral arms.


title: Key Choices in the Design of Simple Knowledge Organization System (SKOS)

abstract:
  Simple Knowledge Organization System (SKOS) provides a data model and
vocabulary for expressing Knowledge Organization Systems (KOSs) such as
thesauri and classification schemes in Semantic Web applications. This paper
presents the main components of SKOS and their formal expression in Web
Ontology Language (OWL), providing an extensive account of the design decisions
taken by the Semantic Web Deployment (SWD) Working Group of the World Wide Web
Consortium (W3C), which between 2006 and 2009 brought SKOS to the status of W3C
Recommendation. The paper explains key design principles such as "minimal
ontological commitment" and systematically cites the requirements and issues
that influenced the design of SKOS components.
  By reconstructing the discussion around alternative features and design
options and presenting the rationale for design decisions, the paper aims at
providing insight into how SKOS turned out as it did, and why. Assuming that
SKOS, like any other successful technology, may eventually be subject to
revision and improvement, the critical account offered here may help future
editors approach such a task with deeper understanding.


title: On Barriers in State and Input Constrained Nonlinear Systems

abstract:
  In this paper, the problem of state and input constrained control is
addressed, with multidimensional constraints. We obtain a local description of
the boundary of the admissible subset of the state space where the state and
input constraints can be satisfied \emph{for all times}. This boundary is made
of two disjoint parts: the subset of the state constraint boundary on which
there are trajectories pointing towards the interior of the admissible set or
tangentially to it; and a barrier, namely a semipermeable surface which is
constructed via a minimum-like principle.


title:
Extrapolation uncertainties in the importance-truncated No-Core Shell
  Model

abstract:
  We report on Li-6 calculations performed with the IT-NCSM and compare them to
full NCSM calculations. We employ the Entem and Machleidt chiral two-body N3LO
interaction (regulated at 500 MeV/c), which has been modified to a phase-shift
equivalent potential by the similarity renormalization group (SRG) procedure.
We investigate the dependence of the procedure on the technique employed to
extrapolate to the complete Nmax space, the harmonic oscillator energy, and
investigate the dependence on the momentum-decoupling scale (\lambda) used in
the SRG. We also investigate the use of one or several reference states from
which the truncated basis is constructed. We find that the uncertainties
generated from various extrapolating functions used to extrapolate to the
complete Nmax space increase as Nmax increases. The extrapolation uncertainties
range from a few keV for the smallest Nmax spaces to about 50 keV for the
largest Nmax spaces. We note that the difference between extrapolated IT-NCSM
and NCSM ground-state energies, however, can be as large as a 100-250 keV
depending on the chosen harmonic oscillator energy. We also present the
extrapolation of IT-NCSM results to Nmax infinity and compare these to
similarly extrapolated full NCSM results.


title: Extension of Solutions to Holomorphic Partial Differential Equations

abstract:
  Given a strictly pseudoconvex domain G and a linear partial differential
operator P with holomorphic coefficients, we derive sufficient conditions for
the existence of a solution to Pu = 0 which is holomorphic in G near a point p
in the boundary or G, but cannot be extended holomorphically across p.


title:
Efficient Markets, Behavioral Finance and a Statistical Evidence of the
  Validity of Technical Analysis

abstract:
  This work tried to detect the existence of a relationship between the graphic
signals - or patterns - observed day by day in the Brazilian stock market and
the trends which happen after these signals, within a period of 8 years, for a
number of securities. The results obtained from this study show evidence of the
existence of such a relationship, suggesting the validity of the Technical
Analysis as an instrument to predict the trend of security prices in the
Brazilian stock market within that period.


title:
Scaling of Non-Saturating MR and quantum oscillations in pristine and
  ion-implanted HOPG

abstract:
  A wide variety of resistive and field dependent behaviors have been
previously observed in both doped and non-doped Highly Oriented Pyrolytic
Graphite (HOPG). We find HOPG samples to vary significantly in their
temperature dependent resistances, even between portions taken from the same
sample, yet they exhibit consistent non-saturating magnetoresistance (MR). The
scaling behavior of the MR is shown to be characteristic of a model based on
the Hall effect in granular materials. In addition to the large, field-linear
MR, all samples exhibit Shubnikov-de Haas (SdH) oscillations. Additional
samples were doped via ion-implantation by boron and phosphorous, but show no
signs of superconductivity nor any systematic change in their magnetoresistive
behavior. Analysis of the SdH data gives a 2D carrier density in agreement with
previous results, and a large mean-free path relative to crystallite size, even
in samples with thin ion-implanted surface layers.


title: Ultrahigh-Gain Phototransistors Based on Graphene-MoS2 Heterostructures

abstract:
  Due to its high carrier mobility, broadband absorption, and fast response
time, graphene is attractive for optoelectronics and photodetection
applications. However, the extraction of photoelectrons in conventional
metal-graphene junction devices is limited by their small junction area, where
the typical photoresponsivity is lower than 0.01 AW-1. On the other hand, the
atomically thin layer of molybdenum disulfide (MoS2) is a two-dimensional (2d)
nanomaterial with a direct and finite band gap, offering the possibility of
acting as a 2d light absorber. The optoelectronic properties of the
heterostructure of these two films is therefore of great interest. The growth
of large-area graphene using chemical vapour deposition (CVD) has become mature
nowadays. However, the growth of large-area MoS2 monolayer is still
challenging. In this work, we show that a large-area and continuous MoS2
monolayer is achievable using a CVD method. Both graphene and MoS2 layers are
transferable onto desired substrates, making possible immediate and large-scale
optoelectronic applications. We demonstrate that a phototransistor based on the
graphene/MoS2 heterostructure is able to provide a high photoresponsivity
greater than 107 A/W while maintaining its ultrathin and planar structure. Our
experiments show that the electron-hole pairs are produced in the MoS2 layer
after light absorption and subsequently separated across the layers.
Contradictory to the expectation based on the conventional built-in electric
field model for metal-semiconductor contacts, photoelectrons are injected into
the graphene layer rather than trapped in MoS2 due to the alignment of the
graphene Fermi level with the conduction band of MoS2. The band alignment is
sensitive to the presence of a perpendicular electric field arising from, for
example, Coulomb impurities or an applied gate voltage, resulting in a tuneable
photoresponsivity.


title:
Toward a Comprehensive Model of Snow Crystal Growth Dynamics: 2.
  Structure Dependent Attachment Kinetics near -5 C

abstract:
  We present experimental data demonstrating the presence of
structure-dependent attachment kinetics (SDAK) in ice crystal growth from water
vapor near -5 C. Specifically, we find that the nucleation barrier on the basal
edge of a thin-walled hollow columnar crystal is approximately ten times
smaller than the corresponding nucleation barrier on a large basal facet. These
observations support the hypothesis that SDAK effects play an important role in
determining the growth morphologies of atmospheric ice crystals as a function
of temperature.


title:
When are the most informative components for inference also the
  principal components?

abstract:
  Which components of the singular value decomposition of a signal-plus-noise
data matrix are most informative for the inferential task of detecting or
estimating an embedded low-rank signal matrix? Principal component analysis
ascribes greater importance to the components that capture the greatest
variation, i.e., the singular vectors associated with the largest singular
values. This choice is often justified by invoking the Eckart-Young theorem
even though that work addresses the problem of how to best represent a
signal-plus-noise matrix using a low-rank approximation and not how to
best_infer_ the underlying low-rank signal component.
  Here we take a first-principles approach in which we start with a
signal-plus-noise data matrix and show how the spectrum of the noise-only
component governs whether the principal or the middle components of the
singular value decomposition of the data matrix will be the informative
components for inference. Simply put, if the noise spectrum is supported on a
connected interval, in a sense we make precise, then the use of the principal
components is justified. When the noise spectrum is supported on multiple
intervals, then the middle components might be more informative than the
principal components.
  The end result is a proper justification of the use of principal components
in the setting where the noise matrix is i.i.d. Gaussian and the identification
of scenarios, generically involving heterogeneous noise models such as mixtures
of Gaussians, where the middle components might be more informative than the
principal components so that they may be exploited to extract additional
processing gain. Our results show how the blind use of principal components can
lead to suboptimal or even faulty inference because of phase transitions that
separate a regime where the principal components are informative from a regime
where they are uninformative.

categories: math.ST cs.DS cs.IT cs.LG math.IT math.PR stat.TH


title: A Compound model for the origin of Earth's water

abstract:
  One of the most important subjects of debate in the formation of the solar
system is the origin of Earth's water. Comets have long been considered as the
most likely source of the delivery of water to Earth. However, elemental and
isotopic arguments suggest a very small contribution from these objects. Other
sources have also been proposed, among which, local adsorption of water vapor
onto dust grains in the primordial nebula and delivery through planetesimals
and planetary embryos have become more prominent. However, no sole source of
water provides a satisfactory explanation for Earth's water as a whole. In view
of that, using numerical simulations, we have developed a compound model
incorporating both the principal endogenous and exogenous theories, and
investigating their implications for terrestrial planet formation and
water-delivery. Comets are also considered in the final analysis, as it is
likely that at least some of Earth's water has cometary origin. We analyze our
results comparing two different water distribution models, and complement our
study using D/H ratio, finding possible relative contributions from each
source, focusing on planets formed in the habitable zone. We find that the
compound model play an important role by showing more advantage in the amount
and time of water-delivery in Earth-like planets.


title: Chromospheric Sunspot Oscillations in H-alpha and Ca II 8542A

abstract:
  We study chromospheric oscillations including umbral flashes and running
penumbral waves in a sunspot of active region (AR) using scanning spectroscopy
in H-alpha and Ca II 8542A, with the Fast Imaging Solar Spectrograph (FISS) at
the 1.6 meter New Solar Telescope at Big Bear Solar Observatory. A bisector
method is applied to spectral observations to construct chromospheric Doppler
velocity maps. Temporal sequence analysis of these shows enhanced
high-frequency oscillations inside the sunspot umbra in both lines. Their peak
frequency gradually decreases outward from the umbra. The oscillation power is
found to be associated with magnetic-field strength and inclination, with
different relationships in different frequency bands.


title: Exact quantum query complexity of EXACT and THRESHOLD

abstract:
  A quantum algorithm is exact if it always produces the correct answer, on any
input. Coming up with exact quantum algorithms that substantially outperform
the best classical algorithm has been a quite challenging task. In this paper,
we present two new exact quantum algorithms for natural problems: 1) for the
problem EXACT_k^n in which we have to determine whether the sequence of input
bits x_1, ..., x_n contains exactly k values x_i=1; 2) for the problem
THRESHOLD_k^n in which we have to determine if at least k of n input bits are
equal to 1.


title: Sharp RIP Bound for Sparse Signal and Low-Rank Matrix Recovery

abstract:
  This paper establishes a sharp condition on the restricted isometry property
(RIP) for both the sparse signal recovery and low-rank matrix recovery. It is
shown that if the measurement matrix $A$ satisfies the RIP condition
$\delta_k^A<1/3$, then all $k$-sparse signals $\beta$ can be recovered exactly
via the constrained $\ell_1$ minimization based on $y=A\beta$. Similarly, if
the linear map $\cal M$ satisfies the RIP condition $\delta_r^{\cal M}<1/3$,
then all matrices $X$ of rank at most $r$ can be recovered exactly via the
constrained nuclear norm minimization based on $b={\cal M}(X)$. Furthermore, in
both cases it is not possible to do so in general when the condition does not
hold. In addition, noisy cases are considered and oracle inequalities are given
under the sharp RIP condition.


title:
The Phase Space for the Einstein-Yang-Mills Equations and the First Law
  of Black Hole Thermodynamics

abstract:
  We use the techniques of Bartnik (2005) to show that the space of solutions
to the Einstein-Yang-Mills constraint equations on an asymptotically at
manifold with one end and zero boundary components, has a Hilbert manifold
structure; the Einstein-Maxwell system can be considered as a special case.
This is equivalent to the property of linearisation stability, which was
studied in depth throughout the 70s. This framework allows us to prove a
conjecture of Sudarsky and Wald (1992), that is, the validity of the first law
of black hole thermodynamics is a suitable condition for stationarity. Since we
work with a single end and no boundary conditions, this is equivalent to
critical points of the ADM mass subject to variations fixing the Yang-Mills
charge corresponding exactly to stationary solutions. The natural extension to
this work is to prove the second conjecture of Sudarsky and Wald, which is the
case where an interior boundary is present; this will be addressed in future
work.


title: On topological complexity of Eilenberg-MacLane spaces

abstract:
  We note that, for any natural $k$ and every natural $l$ between $k$ and $2k$,
there exists a group $\pi$ with $\cat K(\pi,1)=k$ and $\TC(K(\pi,1))=l$.
Because of this, we can set up a problem of searching of purely
group-theoretical description of $\TC(K(\pi,1))$ as an invariant of $\pi$.


title: Maximum norms of graphs and matrices, and their complements

abstract:
  In this paper, we mainly study the trace norm of the adjacency matrix of a
graph, also known as the energy of graph. We give the maximum trace norms for
the graph and its complement. In fact, the above problem is stated and solved
in a more general setup - for nonnegative matrices with bounded entries. In
particular, this study exhibits analytical matrix functions attaining maxima on
matrices with rigid and complex combinatorial structure. In the last section
the same questions are studied for Ky Fan norms. Possibe directions for further
research are outlined, as it turns out that the above problems are just a tip
of a larger multidimensional research area.


title:
Multiple stellar populations in Magellanic Cloud clusters. II. Evidence
  also in the young NGC1844?

abstract:
  We use HST observations to study the LMC's young cluster NGC1844. We estimate
the fraction and the mass-ratio distribution of photometric binaries and report
that the main sequence presents an intrinsic breadth which can not be explained
in terms of photometric errors only, and is unlikely due to differential
reddening. We attempt some interpretation of this feature, including stellar
rotation, binary stars, and the presence of multiple stellar populations with
different age, metallicity, helium, or C+N+O abundance. Although we exclude
age, helium, and C+N+O variations to be responsible of the main-sequence spread
none of the other interpretations is conclusive.


title: Corrugated Multi-Supersheets

abstract:
  We explore the multi-superthreads and supersheets solutions of
six-dimensional N=1 supergravity coupled to a tensor multiplet. The solutions
carry D1-D5-P charges, but no Kaluza-Klein monopole. We lay down the formalism
to construct multiple supersheets with arbitrary and independent profiles. The
solution is by construction free of Dirac strings in contrast to the
five-dimensional construction where one has to separately solve integrability
conditions. We explore this formalism to construct supersheets that fluctuate
in both directions allowing a more general choice of profiles. These new
solutions are genuinely six-dimensional, singular, fluctuating BPS solutions
and by analyzing them we expect to learn more about the conjectured
superstrata. We also derive the conditions under which different supersheets
can touch, or even intersect through each other.


title: Three-player entangled XOR games are NP-hard to approximate

abstract:
  We show that for any eps>0 the problem of finding a factor (2-eps)
approximation to the entangled value of a three-player XOR game is NP-hard.
Equivalently, the problem of approximating the largest possible quantum
violation of a tripartite Bell correlation inequality to within any
multiplicative constant is NP-hard. These results are the first constant-factor
hardness of approximation results for entangled games or quantum violations of
Bell inequalities shown under the sole assumption that P \neq NP. They can be
thought of as an extension of Hastad's optimal hardness of approximation
results for MAX-E3-LIN2 (JACM'01) to the entangled-player setting.
  The key technical component of our work is a soundness analysis of a
point-vs-plane low-degree test against entangled players. This extends and
simplifies the analysis of the multilinearity test by Ito and Vidick (FOCS'12).
Our results demonstrate the possibility for efficient reductions between
entangled-player games and our techniques may lead to further hardness of
approximation results.


title:
A Surface-Potential Based Compact Model for GaN HEMTs Directly
  Incorporating Polarization Charges

abstract:
  A method to incorporate polarization charges at heterojunctions in compact
models for transistors is presented. By including the polarization sheet charge
as a Dirac delta function, the Poisson equation is solved to yield a closed
equation for the surface potential. A compact model for transistors based on
the surface potential incorporating polarization charges describes the on-state
as well as the off-state regimes of device operation. The new method of
incorporating polarization charges in compact models helps make a direct
connection to the material properties of the transistor. The current-voltage
(I-V) curves generated by this model are in good agreement with the
experimental data for GaN HEMTs.


title: Some planar monomials in characteristic 2

abstract:
  Planar functions over finite fields give rise to finite projective planes and
other combinatorial objects. They were originally defined only in odd
characteristic, but recently Zhou introduced a definition in even
characteristic which yields similar applications. In this paper we show that
certain functions over $\mathbb{F}_{2^r}$ are planar, which proves a conjecture
of Schmidt and Zhou. The key to our proof is a new result about the
$\mathbb{F}_{q^3}$-rational points on the degree-$(q-1)$ Fermat curve
$x^{q-1}+y^{q-1}=z^{q-1}$.


title:
Dynamical behaviors of FRW Universe containing a positive/negative
  potential scalar field in loop quantum cosmology

abstract:
  The dynamical behaviors of FRW Universe containing a posivive/negative
potential scalar field in loop quantum cosmology scenario are discussed. The
method of the phase-plane analysis is used to investigate the stability of the
Universe. It is found that the stability properties in this situation are quite
different from the classical cosmology case. For a positive potential scalar
field coupled with a barotropic fluid, the cosmological autonomous system has
five fixed points and one of them is stable if the adiabatic index $\gamma$
satisfies $0<\gamma<2$. This leads to the fact that the universe just have one
bounce point instead of the singularity which lies in the quantum dominated
area and it is caused by the quantum geometry effect. There are four fixed
points if one considers a scalar field with a negative potential, but none of
them is stable. Therefore, the universe has two kinds of bounce points, one is
caused by the quantum geometry effect and the other is caused by the negative
potential, the Universe may enter a classical re-collapse after the quantum
bounce. This hints that the spatially flat FRW Universe containing a negative
potential scalar field is cyclic.


title: Coherently dedispersed gated imaging of millisecond pulsars

abstract:
  Motivated by the need for rapid localisation of newly discovered faint
millisecond pulsars (MSPs) we have developed a coherently dedispersed gating
correlator. This gating correlator accounts for the orbital motions of MSPs in
binaries while folding the visibilities with best-fit topocentric rotational
model derived from periodicity search in simultaneously generated beamformer
output. Unique applications of the gating correlator for sensitive
interferometric studies of MSPs are illustrated using the Giant Metrewave Radio
Telescope (GMRT) interferometric array. We could unambiguously localise five
newly discovered Fermi MSPs in the on-off gated image plane with an accuracy of
+-1". Immediate knowledge of such precise position allows the use of sensitive
coherent beams of array telescopes for follow-up timing observations, which
substantially reduces the use of telescope time (~ 20X for the GMRT). In
addition, precise a-priori astrometric position reduces the effect of large
covariances in timing fit (with discovery position, pulsar period derivative
and unknown binary model), which in-turn accelerates the convergence to initial
timing model. For example, while fitting with precise a-priori position (+-1"),
timing model converges in about 100 days, accounting the effect of covariance
between position and pulsar period derivative. Moreover, such accurate
positions allows for rapid identification of pulsar counterpart at other
wave-bands. We also report a new methodology of in-beam phase calibration using
the on-off gated image of the target pulsar, which provides the optimal
sensitivity of the coherent array removing the possible temporal and spacial
decoherences.


title: Embedded annuli and Jones' conjecture

abstract:
  We show that after stabilizations of opposite parity and braid isotopy, any
two braids in the same topological link type cobound embedded annuli. We use
this to prove the generalized Jones conjecture relating the braid index and
algebraic length of closed braids within a link type, following a reformulation
of the problem by Kawamuro.


title:
Penetration of a magnetic wall into thin ferromagnetic electrodes of a
  nano-contact spin valve

abstract:
  We theoretically analyzed a magnetic wall confined in a nano-contact spin
valve paying special attention to the penetration of the magnetic wall into
thin ferromagnetic electrodes. We showed that, compared with the Bloch wall,
the penetration of the Neel wall is suppressed by increases of the
demagnetization energy. We found the optimal conditions of the radius and
height of the nano-contact to maximize the power of the current-induced
oscillation of the magnetic wall. We also found that the thermal stability of
the Bloch wall increases when the nano-contact's radius increases or height
decreases.


title: A note on Yamabe constants of products with hyperbolic spaces

abstract:
  We study the H^n-Yamabe constants of Riemannian products (H^n \times M^m,
g_h^n +g), where (M,g) is a compact Riemannian manifold of constant scalar
curvature and g_h^n is the hyperbolic metric on H^n. Numerical calculations can
be carried out due to the uniqueness of (positive, finite energy) solutions of
the equation \Delta u -\lambda u + u^q =0 on hyperbolic space H^n under
appropriate bounds on the parameters \lambda, q, as shown by G. Mancini and K.
Sandeep. We do explicit numerical estimates in the cases (n,m)=(2,2),(2,3) and
(3,2).


title:
Velocity Distributions of Tracer Particles in Thermal Counterflow in
  Superfluid $^4$He

abstract:
  Quantum turbulence accompanying thermal counterflow in superfluid $^4$He was
recently visualized by the Maryland group, using micron-sized tracer particles
of solid hydrogen (J. Phys. Soc. Jpn. {\bf 77}, 111007 (2008)) . In order to
understand the observations we formulate the coupled dynamics of fine particles
and quantized vortices, in the presence of a relative motion of the normal and
superfluid components. Numerical simulations based on this formulation are
shown to agree reasonably well with experimental observations of the velocity
distributions of the tracer particles in thermal counterflow.


title: SUSY vs LHC

abstract:
  In light of the discovery of the new particle at 125GeV and the strong lower
limits on the masses of superparticles from LHC, we discuss a possible picture
of weak scale supersymmetry.


title: Unified Model of Ferroelectricity Induced by Spin Order

abstract:
  The ferroelectricity of multiferroics induced by spin order is commonly
explained by considering either purely electronic or ion-displacement
contribution. However, there is no general model which includes both effects
simultaneously. Here, we suggest a realistic model to describe the
ion-displacement part of the ferroelectricity based on the spin-lattice
coupling Hamiltonian. Combining this model with our previous pure electronic
model for spin-order induced polarization, we propose a unified model that
includes both effects. By applying the unified model to representative
multiferroics where the electronic and ion-displacement contributions vary
widely, we find that this model can not only reproduce the first-principles
results, but also provide insight into the origin of ferroelectricity.


title:
Compositions and origins of outer planet systems: Insights from the
  Roche critical density

abstract:
  We consider the Roche critical density (rho_Roche), the minimum density of an
orbiting object that, at a given distance from its planet, is able to hold
itself together by self-gravity. It is directly related to the more familiar
"Roche limit," the distance from a planet at which a strengthless orbiting
object of given density is pulled apart by tides. The presence of a substantial
ring requires that transient clumps have an internal density less than
rho_Roche. Conversely, in the presence of abundant material for accretion, an
orbiting object with density greater than rho_Roche will grow.
  Comparing the rho_Roche values at which the Saturn and Uranus systems
transition rapidly from disruption-dominated (rings) to accretion-dominated
(moons), we infer that the material composing Uranus' rings is likely more
rocky, as well as less porous, than that composing Saturn's rings.
  From the high values of rho_Roche at the innermost ring-moons of Jupiter and
Neptune, we infer that those moons may be composed of denser material than
expected, or more likely that they are interlopers that formed farther from
their planets and have since migrated inward, now being held together by
internal material strength.
  Finally, the "Portia group" of eight closely-packed Uranian moons has an
overall surface density similar to that of Saturn's A ring. Thus, it can be
seen as an accretion-dominated ring system, of similar character to the
standard ring systems except that its material has a characteristic density
greater than the local rho_Roche.


title: Central Limit Theorems for Super-OU Processes

abstract:
  In this paper we study supercritical super-OU processes with general
branching mechanisms satisfying a second moment condition. We establish central
limit theorems for the super-OU processes. In the small and crtical branching
rate cases, our central limit theorems sharpen the corresponding results in the
recent preprint of Milos in that the limit normal random variables in our
central limit theorems are non-degenerate. Our central limit theorems in the
large branching rate case are completely new. The main tool of the paper is the
so called "backbone decomposition" of superprocesses.


title:
On the abelian groups which occur as Galois cohomology groups of global
  unit groups

abstract:
  For any finite group G and integer i, let $\mathcal{H}^i(G)$ be the set of
all the isomorphism classes of the Galois cohomology groups
$\hat{H}^i(K/k,E_K)$, where K/k runs over all the unramified G-extension of
number fields and E_K denotes the global unit group of K. We will determine
$\mathcal{H}^i(G)$ for i=0,1,2, and 4 in the case where G is a finite p-group.


title: Repairing Multiple Failures in the Suh-Ramchandran Regenerating Codes

abstract:
  Using the idea of interference alignment, Suh and Ramchandran constructed a
class of minimum-storage regenerating codes which can repair one systematic or
one parity-check node with optimal repair bandwidth. With the same code
structure, we show that in addition to single node failure, double node
failures can be repaired collaboratively with optimal repair bandwidth as well.
We give an example of how to repair double failures in the Suh-Ramchandran
regenerating code with six nodes, and give the proof for the general case.


title: High-energy astroparticle physics with CALET

abstract:
  The CALorimetric Electron Telescope (CALET) will be installed on the Exposure
Facility of the Japanese Experiment Module (JEM-EF) on the International Space
Station (ISS) in 2014 where it will measure the cosmic-ray fluxes for five
years. Its main scientific goals are to search for dark matter, investigate the
mechanism of cosmic-ray acceleration and propagation in the Galaxy and discover
possible astrophysical sources of high-energy electrons nearby the Earth. The
instrument, under construction, consists of two layers of segmented plastic
scintillators for the cosmic-ray charge identification (CHD), a 3 X$_0$-thick
tungsten-scintillating fiber imaging calorimeter (IMC) and a 27 X$_0$-thick
lead-tungstate calorimeter (TASC). The CHD can provide single-element
separation in the interval of atomic number Z from 1 to 40, while IMC and TASC
can measure the energy of cosmic-ray particles with excellent resolution in the
range from few GeV up to several hundreds of TeV. Moreover, IMC and TASC
provide the longitudinal and lateral development of the shower, a key issue for
good electron/hadron discrimination. In this paper, we will review the status
of the mission, the instrument configuration and its expected performance, and
the CALET capability to measure the different components of the cosmic
radiation.


title: A Comparison of Superposition Coding Schemes

abstract:
  There are two variants of superposition coding schemes. Cover's original
superposition coding scheme has code clouds of the identical shape, while
Bergmans's superposition coding scheme has code clouds of independently
generated shapes. These two schemes yield identical achievable rate regions in
several scenarios, such as the capacity region for degraded broadcast channels.
This paper shows that under the optimal maximum likelihood decoding, these two
superposition coding schemes can result in different rate regions. In
particular, it is shown that for the two-receiver broadcast channel, Cover's
superposition coding scheme can achieve rates strictly larger than Bergmans's
scheme.


title:
First-principles investigation of transient current of molecular devices
  by using complex absorbing potential

abstract:
  Based on the non-equilibrium Green's function (NEGF) coupled with density
function theory (DFT), namely, NEGF-DFT quantum transport theory, we propose an
efficient formalism to calculate the transient current of molecular devices
under a step-like pulse from first principles. By combining NEGF-DFT with the
complex absorbing potential (CAP), the computational complexity of our
formalism (NEGF-DFT-CAP) is proportional to $\emph{O}(N)$ where $N$ is the
number of time steps in the time-dependent transient calculation. Compared with
state-of-the-art algorithm of first principles time-dependent calculation that
scales with at least $N^2$, this order N technique drastically reduces the
computational burden making it possible to tackle realistic molecular devices.
To ensure the accuracy of our method, we carry out the benchmark calculation
compared with exact NEGF-TDDFT formalism and they agree well with each other.
As an illustration, we investigate the transient current of molecular device
Al-C$_3$-Al from first principles.


title:
Geometry of the momentum space: From wire networks to quivers and
  monopoles

abstract:
  A new nano--material in the form of a double gyroid has motivated us to study
(non-commutative $C^*$ geometry of periodic wire networks and the associated
graph Hamiltonians. Here we present the general abstract framework, which is
given by certain quiver representations, with special attention to the original
case of the gyroid as well as related cases, such as graphene. In these
geometric situations, the non- commutativity is introduced by a constant
magnetic field and the theory splits into two pieces: commutative and
non-commutative, both of which are governed by a $C^*$ geometry.
  In the non-commutative case, we can use tools such as K-theory to make
statements about the band structure. In the commutative case, we give geometric
and algebraic methods to study band intersections; these methods come from
singularity theory and representation theory. We also provide new tools in the
study, using $K$-theory and Chern classes. The latter can be computed using
Berry connection in the momentum space. This brings monopole charges and issues
of topological stability into the picture.


title:
Second main theorem and unicity of meromorphic mappings for
  hypersurfaces of projective varieties in subgeneral position

abstract:
  The purpose of this article is twofold. The first is to prove a second main
theorem for meromorphic mappings of $\C^m$ into a complex projective variety
intersecting hypersurfaces in subgeneral position with truncated counting
functions. The second is to show a uniqueness theorem for these mappings which
share few hypersurfaces without counting multiplicity.


title:
The Fourier transform and convolutions generated by a differential
  operator with boundary condition on a segment

abstract:
  We introduce the concepts of the Fourier transform and convolution generated
by an arbitrary restriction of the differentiation operator in the space
$L_{2}(0,b).$ In contrast to the classical convolution, the introduced
convolution explicitly depends on the boundary condition that defines the
domain of the operator $L.$ The convolution is closely connected to the inverse
operator or to the resolvent. So, we first find a representation for the
resolvent, and then introduce the required convolution.


title:
Concept and Analysis of a Satellite for Space-based Radio Detection of
  Ultra-high Energy Cosmic Rays

abstract:
  We present a concept for on-orbit radio detection of ultra-high energy cosmic
rays (UHECRs) that has the potential to provide collection rates of ~100 events
per year for energies above 10^20 eV. The synoptic wideband orbiting radio
detector (SWORD) mission's high event statistics at these energies combined
with the pointing capabilities of a space-borne antenna array could enable
charged particle astronomy. The detector concept is based on ANITA's successful
detection UHECRs where the geosynchrotron radio signal produced by the extended
air shower is reflected off the Earth's surface and detected in flight.


title:
Generalized Hedgehog ansatz and Gribov copies in regions with non
  trivial topologies

abstract:
  In this paper the arising of Gribov copies both in Landau and Coulomb gauges
in regions with non-trivial topologies but flat metric, (such as closed tubes
S1XD2, or RXT2) will be analyzed. Using a novel generalization of the hedgehog
ansatz beyond spherical symmetry, analytic examples of Gribov copies of the
vacuum will be constructed. Using such ansatz, we will also construct the
elliptic Gribov pendulum. The requirement of absence of Gribov copies of the
vacuum satisfying the strong boundary conditions implies geometrical
constraints on the shapes and sizes of the regions with non-trivial topologies.


title:
Constraining the Star Formation Histories in Dark Matter Halos: I.
  Central Galaxies

abstract:
  Using the self-consistent modeling of the conditional stellar mass functions
across cosmic time by Yang et al. (2012), we make model predictions for the
star formation histories (SFHs) of {\it central} galaxies in halos of different
masses. The model requires the following two key ingredients: (i) mass assembly
histories of central and satellite galaxies, and (ii) local observational
constraints of the star formation rates of central galaxies as function of halo
mass. We obtain a universal fitting formula that describes the (median) SFH of
central galaxies as function of halo mass, galaxy stellar mass and redshift. We
use this model to make predictions for various aspects of the star formation
rates of central galaxies across cosmic time. Our main findings are the
following. (1) The specific star formation rate (SSFR) at high $z$ increases
rapidly with increasing redshift [$\propto (1+z)^{2.5}$] for halos of a given
mass and only slowly with halo mass ($\propto M_h^{0.12}$) at a given $z$, in
almost perfect agreement with the specific mass accretion rate of dark matter
halos. (2) The ratio between the star formation rate (SFR) in the main-branch
progenitor and the final stellar mass of a galaxy peaks roughly at a constant
value, $\sim 10^{-9.3} h^2 {\rm yr}^{-1}$, independent of halo mass or the
final stellar mass of the galaxy. However, the redshift at which the SFR peaks
increases rapidly with halo mass. (3) More than half of the stars in the
present-day Universe were formed in halos with $10^{11.1}\msunh < M_h <
10^{12.3}\msunh$ in the redshift range $0.4 < z < 1.9$. (4) ... [abridged]


title:
Fiedler Vectors and Elongation of Graphs: A Threshold Phenomenon on a
  Particular Class of Trees

abstract:
  Let $G$ be a graph. Its laplacian matrix $L(G)$ is positive and we consider
eigenvectors of its first non-null eigenvalue that are called Fiedler vector.
They have been intensively used in spectral partitioning problems due to their
good empirical properties. More recently Fiedler vectors have been also
popularized in the computer graphics community to describe elongation of
shapes. In more technical terms, authors have conjectured that extrema of
Fiedler vectors can yield the diameter of a graph. In this work we present
(FED) property for a graph $G$, i.e. the fact that diameter of a graph can be
obtain by Fiedler vectors. We study in detail a parametric family of trees that
gives indeed a counter example for the previous conjecture but reveals a
threshold phenomenon for (FED) property. We end by an exhaustive enumeration of
trees with at most 20 vertices for which (FED) is true and some perspectives.


title: Explicit estimates in the Bramson-Kalikow model

abstract:
  The aim of the present article is to explicitly compute parameters for which
the Bramson-Kalikow model exhibits phase-transition. The main ingredient of the
proof is a simple new criterion for non-uniqueness of $g$-measures. We show
that the existence of multiple $g$-measures compatible with a function $g$ can
be proved by estimating the $\bar{d}$-distances between some suitably chosen
Markov chains. The method is optimal for the important class of binary regular
attractive functions, which includes the Bramson-Kalikow model.


title:
Exact Lattice Supersymmetry at the Quantum Level for N=2 Wess-Zumino
  models in Lower Dimensions

abstract:
  We have recently proposed a new lattice SUSY formulation which has exact
lattice supersymmetry for Wess-Zumino models in one and two dimensions for all
N=2 supercharges. This formulation is non-local in the coordinate space but the
difference operator satisfies the Leibniz rule on the newly defined star
product. Here we show that this lattice supersymmetry is kept exact at the
quantum level by investigating Ward-Takahashi identities up to two loop level.


title: Scattering for the critical 2-D NLS with exponential growth

abstract:
  In this article, we establish in the radial framework the $H^1$-scattering
for the critical 2-D nonlinear Schr\"odinger equation with exponential growth.
Our strategy relies on both the a priori estimate derived in \cite{CGT, PV} and
the characterization of the lack of compactness of the Sobolev embedding of
$H_{rad}^1(\R^2)$ into the critical Orlicz space ${\cL}(\R^2)$ settled in
\cite{BMM}. The radial setting, and particularly the fact that we deal with
bounded functions far away from the origin, occurs in a crucial way in our
approach.


title:
Diffusion of Cooperative Behavior in Decentralized Cognitive Radio
  Networks with Selfish Spectrum Sensors

abstract:
  This work investigates the diffusion of cooperative behavior over time in a
decentralized cognitive radio network with selfish spectrum-sensing users. The
users can individually choose whether or not to participate in cooperative
spectrum sensing, in order to maximize their individual payoff defined in terms
of the sensing false-alarm rate and transmit energy expenditure. The system is
modeled as a partially connected network with a statistical distribution of the
degree of the users, who play their myopic best responses to the actions of
their neighbors at each iteration. Based on this model, we investigate the
existence and characterization of Bayesian Nash Equilibria for the diffusion
game. The impacts of network topology, channel fading statistics, sensing
protocol, and multiple antennas on the outcome of the diffusion process are
analyzed next. Simulation results that demonstrate how conducive different
network scenarios are to the diffusion of cooperation are presented for further
insight, and we conclude with a discussion on additional refinements and issues
worth pursuing.


title: Squeezed primordial bispectrum from general vacuum state

abstract:
  We study the general relation between the power spectrum and the squeezed
limit of the bispectrum of the comoving curvature perturbation produced during
single-field slow-roll inflation when the initial state is a general vacuum.
Assuming the scale invariance of the power spectrum, we derive a formula for
the squeezed limit of the bispectrum, represented by the parameter fNL, which
is not slow-roll suppressed and is found to contain a single free parameter for
a given amplitude of the power spectrum. Then we derive the conditions for
achieving a scale-invariant fNL, and discuss a few examples.


title: Geometric Tachyon and Warm Inflation

abstract:
  The inflationary models developed in presence of a background radiation can
be a solution to the reheating problem faced by common cold (isentropic)
inflationary scenario. A D-brane system comprising of k Neuvo-Schwarz(NS)
5-branes with a transverse circle and BPS D3-branes with world volume parallel
to the NS 5-branes, placed at a point on the transverse circle diametrically
opposite to the NS 5-branes has a point of unstable equilibrium and the D3
brane has a geometric tachyonic mode associated with displacement of the brane
along the circle. Cold inflationary scenario has been studied in connection
with this geometric tachyon \cite{PA1} where it was found that one needs a
background of minimum $10^4$ branes to realize a viable inflationary model. In
this piece of work, we have tried to study a model of inflation driven by this
geometric tachoyn in presence of radiation. We have found that compared to the
isentropic scenario, to satisfy the observational bounds, the number of
background branes required in this case reduces drastically and a viable model
can be obtained with even six to seven NS 5-branes in the background.In this
context, we have also analyzed the non-gaussianity associated with the model
and observed that the concerned parameter lies well within the observation
limit.


title: Nonequilbrium work by charge control in a Josephson junction

abstract:
  We consider a single Josephson junction in the presence of time varying gate
charge, and examine the nonequilibrium work done by the charge control in the
framework of fluctuation theorems. We obtain the probability distribution
functions of the works performed by forward protocol and by its time reversed
protocol, which from the Crooks relation gives the estimation of the free
energy changes \Delta F =0. The reliability of \Delta F estimated from the
Jarzynksi equality is crucially dependent on protocol parameters, while
Bennett's acceptance ratio method confirms consistently \Delta F=0. The error
of the Jarzynski estimator either grows or becomes saturated as the duration of
the work protocol increases, which depends on the protocol rapidity determining
the existence of the oscillatory motion of the phase difference across the
junction. The average of the work also shows similar behaviors and its
saturation value is given by the relative weight of the oscillatory trajectory
with respect to running trajectories with constant acceleration. We discuss
non-negativity of the work average and its relation to heat and entropy
production associated with the circuit control.


title: On top local cohomology modules, Matlis duality and tensor products

abstract:
  Let $\mathfrak{a}$ be an ideal of a local ring $(R, \mathfrak{m})$ with $c =
\mathrm{cd}(\mathfrak{a},R)$ the cohomological dimension of $\mathfrak{a}$ in
$R$. In the case that $c=\dim R$, we first give a bound for
depth~$D(H^c_\mathfrak{a}(R))$, where $c>2$ and $(R,\mathfrak{m})$ is complete.
Later, $H^c_\mathfrak{a}(R) \otimes_R H^c_\mathfrak{a}(R)$,
$D(H^c_\mathfrak{a}(R)) \otimes_R D(H^c_\mathfrak{a}(R))$ and
$H^c_\mathfrak{a}(R) \otimes_R D(H^c_\mathfrak{a}(R))$ are examined. In the
case $c=\dim R-1$, the set Att$_R H^c_\mathfrak{a}(R)$ is considered.


title: Birth accelerations of neutron stars

abstract:
  We suggest that neutron stars experienced at birth three related physical
changes, which may originate in magneto-rotational instabilities: (i) an
increase in period from the initial value P_0 to the current value P_s,
implying a change of rotational energy \Delta E_rot; (ii) an exponential decay
of its magnetic field from the initial value B_0 to the current surface value
B_s, implying a change of radiative energy \Delta E_rad; and (iii) an increase
of space velocity from the initial value v_0 to the current value v, implying a
change of kinetic energy \Delta E_kin. These changes are assumed to be
connected by \Delta E_rad + \Delta E_kin =\Delta E_rot. This means that the
radiation loss and increase of kinetic energy are both at the expense of a
rotational energy loss. It is shown that this energy conversion occurs during
times of order of 10^(-4) s if the neutron stars are born with magnetic fields
in the range of 10^(15)-10^(16) G and initial periods in range 1-20 ms. It is
shown that the birth accelerations of neutron stars are of the order of 10^(8)
g.


title: Magnetic irreversibility in ultrafine ZnFe2O4 partices

abstract:
  Pure ultrafine ZnFe2O4 particles have been obtained from mechanosynthesis of
the ZnO and Fe2O3 oxides. The average grain diameter was estimated from x-ray
diffraction to be <d> = 36(6) nm. Refinement of neutron diffraction (ND) data
showed that the resulting cubic spinel structure is oxygen-deficient, with ~7%
of Fe3+ ions occupying the tetrahedral A sites. Magnetization curves taken at
4.2 K showed absence of saturation up to fields H = 9 Tesla, associated to a
spin-canted produced by the milling process. Field-cooled (FC) and
zero-field-cooled (ZFC) curves showed irreversible behavior extending well
above room temperature, which is associated to spin disorder. Annealing samples
at 300 {\deg}C yields an average grain size <d> = 50(6) nm, and ~16% of Fe3+
ions at A sites. Partial oxygen recovery is also deduced from neutron data
refinement in annealed samples. Concurrently, decrease of magnetic
irreversibility is noticed, assigned to partial recovery of the collinear spin
structure. Complex M\"ossbauer spectra were observed at room temperature and 80
K, with broad hyperfine field distributions spanning from ~10 T to ~40 T. At T
= 4.2 K, hyperfine field distributions indicate high disorder in Fe local
environments. The above data suggest the existence of Fe-rich clusters,
yielding strong superexchange interactions between Fe ions at A and B sites of
the spinel structure.


title: Non-spherical collapse in AdS and Early Thermalization in RHIC

abstract:
  In the flat space, non-spherical shells collapse to give globular cluster
after many oscillations. We show that in anti de sitter space, they form black
holes in one dynamical time. We propose that this is the mechanism of early
thermalization in strong quark-gluon plasma in gravity dual. This is traced
back to the a remarkable property of AdS : the period in radial motion is
amplitude independent in spite of the NON-linearity of the equation of motion.
We investigate the interaction effect numerically and observe the same
qualitative behavior for the attractive forces. For repulsive interactions,
particles halt at a small but finite radius for long time due to the specific
structure of the bulk AdS propagator. It helps hair creation in the AdS black
hole.


title: Pulsars are Born as Magnetars

abstract:
  This paper suggests the idea that all neutron stars experienced at birth an
ultrafast decay of their magnetic fields from their initial values to their
current surface values. If the electromagnetic energy radiated during this
field decay is converted into kinetic energy of the neutron star via the
radiation reaction mechanism then the decay time is of the order of 10^(-4)s
provided that the initial magnetic fields lie in the range of 10^(14)-10^(16)G.
This means that all neutron stars are born with magnetic fields typical of
magnetars. According to this model the neutron stars acquire their observed
high space velocities during the birth ultrafast decay of their magnetic
fields. The origin of this field decay points to magnetic instabilities
occurring at the end of the birth process.


title: Quantum Monte Carlo study of low dimensional magnetic system

abstract:
  Monte Carlo simulations are performed for the S = 1/2 XY and ferro- and
antiferromagnetic Heisenberg model in two dimensions using the loop algorithm.
Thermodynamic properties of all these models are investigated in wide
temperature range. The energy, specific heat, susceptibility and other
parameters are given as function of temperature and the Trotter number. The
comparison of calculated thermodynamic quantities with theoretical and with
experimental data are given. It is shown that our results are in good agreement
with them.


title: Large and tunable photo-thermoelectric effect in single-layer MoS2

abstract:
  We study the photoresponse of single-layer MoS2 field-effect transistors by
scanning photocurrent microscopy. We find that, unlike in many other
semiconductors, the photocurrent generation in single-layer MoS2 is dominated
by the photo-thermoelectric effect and not by the separation of photoexcited
electron-hole pairs across the Schottky barriers at the MoS2/electrode
interfaces. We observe a large value for the Seebeck coefficient for
single-layer MoS2 that, by an external electric field, can be tuned between
-4x10^2 uV/K and -1x10^5 uV/K. This large and tunable Seebeck coefficient of
the single-layer MoS2 paves the way to new applications of this material such
as on-chip thermopower generation and waste thermal energy harvesting.


title: Travelling salesman-based compressive sampling

abstract:
  Compressed sensing theory indicates that selecting a few measurements
independently at random is a near optimal strategy to sense sparse or
compressible signals. This is infeasible in practice for many acquisition
devices that acquire samples along continuous trajectories (e.g., radial,
spiral, ...). Examples include magnetic resonance imaging (MRI) or
radiointerferometry. In this paper, we propose to generate continuous sampling
trajectories by drawing a small set of measurements independently and joining
them using a travelling salesman problem solver. Our contribution lies in the
theoretical derivation of the appropriate probability density of the initial
drawings. Preliminary computational results show that this strategy is as
efficient as independent drawings while being implementable on real acquisition
systems.


title:
Quantum dynamics of two-optical modes and a single mechanical mode
  optomechanical system: selective energy exchange

abstract:
  We study the quantum dynamics of an optomechanical setup comprising two
optical modes and one mechanical mode. We show that the same system can undergo
a Dicke-Hepp-Lieb superradiant type phase transition. We found that the
coupling between the momentum quadratures of the two optical fields give rise
to a new critical point. We show that selective energy exchange between any two
modes is possible by coherent control of the coupling parameters. In addition
we also demonstrate the occurrence of Normal Mode Splitting (NMS) in the
mechanical displacement spectrum.


title:
Measurements of Wgamma and Zgamma production in pp collisions at
  sqrt{s}= 7 TeV with the ATLAS detector at the LHC

abstract:
  The integrated and differential fiducial cross sections for the production of
a W or Z boson in association with a high-energy photon are measured using pp
collisions at sqrt{s} = 7 TeV. The analyses use a data sample with an
integrated luminosity of 4.6 fb^{-1} collected by the ATLAS detector during the
2011 LHC data-taking period. Events are selected using leptonic decays of the W
and Z bosons (W(e nu,mu nu) and Z(e+ e-, mu+ mu-, nu nubar)) with the
requirement of an associated isolated photon. The data are used to test the
electroweak sector of the Standard Model and search for evidence for new
phenomena. The measurements are used to probe the anomalous WWgamma, ZZgamma
and Zgammagamma triple-gauge-boson couplings and to search for the production
of vector resonances decaying to Zgamma and Wgamma. No deviations from Standard
Model predictions are observed and limits are placed on anomalous
triple-gauge-boson couplings and on the production of new vector meson
resonances.


title:
Modulation of galactic protons in the heliosphere during the unusual
  solar minimum of 2006 to 2009

abstract:
  The last solar minimum activity period, and the consequent minimum modulation
conditions for cosmic rays, was unusual. The highest levels of galactic protons
were recorded at Earth in late 2009 in contrast to expectations. Proton spectra
observed for 2006 to 2009 from the PAMELA cosmic ray detector on-board the
Resurs-DK1 satellite are presented together with the solutions of a
comprehensive numerical model for the solar modulation of cosmic rays. The
model is used to determine what mechanisms were mainly responsible for the
modulation of protons during this period, and why the observed spectrum for
2009 was the highest ever recorded. From mid-2006 until December 2009 we find
that the spectra became significantly softer because increasingly more low
energy protons had reached Earth. To simulate this effect, the rigidity
dependence of the diffusion coefficients had to decrease significantly below ~3
GeV. The modulation minimum period of 2009 can thus be described as relatively
more "diffusion dominated" than previous solar minima. However, we illustrate
that drifts still had played a significant role but that the observable
modulation effects were not as well correlated with the waviness of the
heliospheric current sheet as before. Protons still experienced global gradient
and curvature drifts as the heliospheric magnetic field had decreased
significantly until the end of 2009, in contrast to the moderate decreases
observed during previous minimum periods. We conclude that all modulation
processes contributed to the observed increases in the proton spectra for this
period, exhibiting an intriguing interplay of these major mechanisms.


title: On Magnetoacoustic Waves in Finitely Deformed Elastic Solids

abstract:
  In this paper, in the context of the quasi-magnetostatic approximation, we
examine incremental motions superimposed on a static finite deformation of a
magnetoelastic material in the presence of an applied magnetic field. Explicit
expressions are obtained for the associated magnetoacoustic (or magnetoelastic
moduli) tensors in the case of an incompressible isotropic magnetoelastic
material, and these are then used to study the propagation of incremental plane
waves. The propagation condition is derived in terms of a generalized acoustic
tensor and the results are illustrated by obtaining explicit formulas in two
special cases: first, when the material is undeformed but subject to a uniform
bias field and second for a prototype model of magnetoelastic interactions in
the finite deformation regime. The results provide a basis for the experimental
determination of the material parameters of a magneto-sensitive elastomer from
measurements of the speed of incremental waves for different pre-strains, bias
magnetic fields, and directions of propagation.


title:
Observational Evidence of Sausage-Pinch Instability in Solar Corona by
  SDO/AIA

abstract:
  We present the first observational evidence of the evolution of sausage-pinch
instability in Active Region 11295 during a prominence eruption using data
recorded on 12 September 2011 by the Atmospheric Imaging Assembly (AIA) onboard
the Solar Dynamics Observatory (SDO). We have identified a magnetic flux tube
visible in AIA 304 \AA\ that shows curvatures on its surface with variable
cross-sections as well as enhanced brightness. These curvatures evolved and
thereafter smoothed out within a time-scale of a minute. The curved locations
on the flux tube exhibit a radial outward enhancement of the surface of about
1-2 Mm (factor of 2 larger than the original thickness of the flux tube) from
the equilibrium position. AIA 193 \AA\ snapshots also show the formation of
bright knots and narrow regions inbetween at the four locations as that of 304
\AA\ along the flux tube where plasma emission is larger compared to the
background. The formation of bright knots over an entire flux tube as well as
the narrow regions in < 60 s may be the morphological signature of the sausage
instability. We also find the flows of the confined plasma in these bright
knots along the field lines, which indicates the dynamicity of the flux tube
that probably causes the dominance of the longitudinal field component over
short temporal scales. The observed longitudinal motion of the plasma frozen in
the magnetic field lines further vanishes the formed curvatures and plasma
confinements as well as growth of instability to stablize the flux tube.


title: On the Toda systems of VHS type

abstract:
  We consider the Toda systems of VHS type with singular sources and provide a
criterion for the existence of solutions with prescribed asymptotic behaviour
near singularities. We also prove the uniqueness of solution. Our approach uses
Simpson's theory of constructing Higgs-Hermitian-Yang-Mills metrics from
stability.


title:
Analytic study of properties of holographic superconductors away from
  the probe limit

abstract:
  In this paper, based on the Sturm-Liouville eigenvalue approach, we
analytically investigate the properties of holographic superconductors in the
background of pure Einstein and Gauss-Bonnet gravity taking into account the
backreaction of the spacetime. Higher value of the backreaction parameter
results in a harder condensation to form in both cases. The analytical results
obtained are found to be in good agreement with the existing numerical results.


title: Microwave realisation of a periodically driven system

abstract:
  A realisation of a periodically driven microwave system is presented. The
principal element of the scheme is a variable capacity, i.e. a varicap,
introduced as an element of the resonant circuit. Sideband structures
corresponding to different driving signals, have been measured experimentally.
In the linear regime we observed sideband structures with specific shapes. The
main peculiarities of these shapes can be explained within a semiclassical
approximation. A good agreement between experimental data and theoretical
expectations has been found.


title:
Fermion production by a dependent of time electric field in de Sitter
  universe

abstract:
  Fermion production by the electric field of a charge on de Sitter expanding
universe is analyzed. The amplitude and probability of pair production are
computed. We obtain from our calculations that the modulus of the momentum is
no longer conserved and that there are probabilities for production processes
where the helicity is no longer conserved. The rate of pair production in an
electric field is found to be important in the early universe when the
expansion factor was large comparatively with the particle mass.


title:
Flexible transistors exploiting P3HT on paper substrates and graphene
  oxide films as gate dielectrics: proof of concept

abstract:
  In this paper we report: the use of GO in aqueous solution as a gate
dielectric material, its application to a MOS transistor based on organic
semiconductor and the use of paper as substrate material.


title:
Spectrophotometric time series of SN 2011fe from the Nearby Supernova
  Factory

abstract:
  We present 32 epochs of optical (3300-9700 \AA) spectrophotometric
observations of the nearby quintessential "normal" type Ia supernova (SN Ia) SN
2011fe in the galaxy M101, extending from -15 to +97 d with respect to B-band
maximum, obtained by the Nearby Supernova Factory collaboration. SN 2011fe is
the closest (\mu = 29.04) and brightest (Bmax = 9.94 mag) SN Ia observed since
the advent of modern large scale programs for the intensive periodic followup
of supernovae. Both synthetic light curve measurements and spectral feature
analysis attest to the normality of SN 2011fe. There is very little evidence
for reddening in its host galaxy. The homogeneous calibration, intensive time
sampling, and high signal-to-noise ratio of the data set make it unique. Thus
it is ideal for studying the physics of SN Ia explosions in detail, and for
furthering the use of SNe Ia as standardizable candles for cosmology. Several
such applications are shown, from the creation of a bolometric light curve and
measurement of the 56Ni mass, to the simulation of detection thresholds for
unburned carbon, direct comparisons with other SNe Ia, and existing spectral
templates.


title:
Implications of the Reduction Principle for Cosmological Natural
  Selection

abstract:
  Smolin (1992) proposed that the fine-tuning problem for parameters of the
Standard Model might be accounted for by a Darwinian process of universe
reproduction - Cosmological Natural Selection (CNS) - in which black holes give
rise to offspring universes with slightly altered parameters. The laws for
variation and inheritance of the parameters are also subject to CNS if
variation in transmission laws occurs. This is the strategy introduced by Nei
(1967) to understand genetic transmission, through the evolutionary theory of
modifier genes, whose methodology is adopted here. When mechanisms of variation
themselves vary, they are subject to Feldman's (1972) evolutionary Reduction
Principle that selection favors greater faithfulness of replication. A theorem
of Karlin (1982) allows one to generalize this principle beyond biological
genetics to the unknown inheritance laws that would operate in CNS. The
reduction principle for CNS is illustrated with a general multitype branching
process model of universe creation containing competing inheritance laws. The
most faithful inheritance law dominates the ensemble of universes. The
Reduction Principle thus provides a mechanism to account for high fidelity of
inheritance between universes. Moreover, it reveals that natural selection in
the presence of variation in inheritance mechanisms has two distinct objects:
maximization of both fitness and faithful inheritance. Tradeoffs between
fitness and faithfulness open the possibility that evolved fundamental
parameters are compromises, and not local optima to maximize universe
production, in which case their local non-optimality may point to their
involvement in the universe inheritance mechanisms.


title: Image Interpolation Using Kriging Technique for Spatial Data

abstract:
  Image interpolation has been used spaciously by customary interpolation
techniques. Recently, Kriging technique has been widely implemented in
simulation area and geostatistics for prediction. In this article, Kriging
technique was used instead of the classical interpolation methods to predict
the unknown points in the digital image array. The efficiency of the proposed
technique was proven using the PSNR and compared with the traditional
interpolation techniques. The results showed that Kriging technique is almost
accurate as cubic interpolation and in some images Kriging has higher accuracy.
A miscellaneous test images have been used to consolidate the proposed
technique.


title: A case in favor of the $N^*(1700)(3/2^-)$

abstract:
  Using an interaction extracted from the local hidden gauge Lagrangians, which
brings together vector and pseudoscalar mesons, and the coupled channels $\rho
N$ (s-wave), $\pi N$ (d-wave), $\pi \Delta$ (s-wave) and $\pi \Delta$ (d-wave),
we look in the region of $\sqrt s =1400-1850$ MeV and we find two resonances
dynamically generated by the interaction of these channels, which are naturally
associated to the $N^*(1520) (3/2^-)$ and $N^*(1700) (3/2^-)$. The $N^*(1700)
(3/2^-)$ appears neatly as a pole in the complex plane. The free parameters of
the theory are chosen to fit the $\pi N$ (d-wave) data. Both the real and
imaginary parts of the $\pi N$ amplitude vanish in our approach in the vicinity
of this resonance, similarly to what happens in experimental determinations,
what makes this signal very weak in this channel. This feature could explain
why this resonance does not show up in some experimental analyses, but the
situation is analogous to that of the $f_0(980)$ resonance, the second scalar
meson after the $\sigma (f_0(500))$ in the $\pi \pi$(d-wave) amplitude. The
unitary coupled channel approach followed here, in connection with the
experimental data, leads automatically to a pole in the 1700 MeV region and
makes this second $3/2^-$ resonance unavoidable.


title:
Hybrid Image Segmentation using Discerner Cluster in FCM and Histogram
  Thresholding

abstract:
  Image thresholding has played an important role in image segmentation. This
paper presents a hybrid approach for image segmentation based on the
thresholding by fuzzy c-means (THFCM) algorithm for image segmentation. The
goal of the proposed approach is to find a discerner cluster able to find an
automatic threshold. The algorithm is formulated by applying the standard FCM
clustering algorithm to the frequencies (y-values) on the smoothed histogram.
Hence, the frequencies of an image can be used instead of the conventional
whole data of image. The cluster that has the highest peak which represents the
maximum frequency in the image histogram will play as an excellent role in
determining a discerner cluster to the grey level image. Then, the pixels
belong to the discerner cluster represent an object in the gray level histogram
while the other clusters represent a background. Experimental results with
standard test images have been obtained through the proposed approach (THFCM).


title:
Flows of vector fields with point singularities and the vortex-wave
  system

abstract:
  The vortex-wave system is a model for the evolution of 2D incompressible
fluids in which the vorticity is split into a finite sum of Dirac masses plus
an Lp part. Existence of a weak solution for this system was recently proved by
Lopes Filho, Miot and Nussenzveig Lopes, for p > 2, but their result left open
the existence and basic properties of the underlying Lagrangian flow. In this
article we study existence, uniqueness and the qualitative properties of the
(Lagrangian flow for the) linear transport problem associated to the
vortex-wave system. To this end, we study the flow associated to a
two-dimensional vector field which is singular at a moving point. We also
present an approximation scheme for the flow, with explicit error estimates
obtained by adapting results by Crippa and De Lellis for Sobolev vector-fields.


title: Vandermonde varieties and relations among Schur polynomials

abstract:
  Motivated by the famous Skolem-Mahler-Lech theorem we initiate in this paper
the study of a natural class of determinantal varieties which we call {\em
Vandermonde varieties}. They are closely related to the varieties consisting of
all linear recurrence relations of a given order possessing a non-trivial
solution vanishing at a given set of integers. In the regular case, i.e., when
the dimension of a Vandermonde variety is the expected one, we present its free
resolution, obtain its degree and the Hilbert series. Some interesting
relations among Schur polynomials are derived. Many open problems and
conjectures are posed.


title: An asymptotic limit of a Navier-Stokes system with capillary effects

abstract:
  A combined incompressible and vanishing capillarity limit in the barotropic
compressible Navier-Stokes equations for smooth solutions is proved. The
equations are considered on the two-dimensional torus with well prepared
initial data. The momentum equation contains a rotational term originating from
a Coriolis force, a general Korteweg-type tensor modeling capillary effects,
and a density-dependent viscosity. The limiting model is the viscous
quasi-geostrophic equation for the "rotated" velocity potential. The proof of
the singular limit is based on the modulated energy method with a careful
choice of the correction terms.


title:
Kriging Interpolation Filter to Reduce High Density Salt and Pepper
  Noise

abstract:
  Image denoising is a critical issue in the field of digital image processing.
This paper proposes a novel Salt & Pepper noise suppression by developing a
Kriging Interpolation Filter (KIF) for image denoising. Gray-level images
degraded with Salt & Pepper noise have been considered. A sequential search for
noise detection was made using kXk window size to determine non-noisy pixels
only. The non-noisy pixels are passed into Kriging interpolation method to
predict their absent neighbor pixels that were noisy pixels at the first phase.
The utilization of Kriging interpolation filter proves that it is very
impressive to suppress high noise density. It has been found that Kriging
Interpolation filter achieves noise reduction without loss of edges and
detailed information. Comparisons with existing algorithms are done using
quality metrics like PSNR and MSE to assess the proposed filter.


title:
Exact solutions with singularities to ideal hydrodynamics of inelastic
  gases

abstract:
  We construct a large family of exact solutions to the hyperbolic system of 3
equations of ideal granular hydrodynamics in several dimensions for arbitrary
adiabatic index $\gamma$. In dependence of initial conditions these solutions
can keep smoothness for all times or develop singularity. In particular, in the
2D case the singularity can be formed either in a point or along a line. For
$\gamma=-1$ the problem is reduced to the system of two equations, related to a
special case of the Chaplygin gas. In the 1D case this system can be written in
the Riemann invariant and can be treated in a standard way. The solution to the
Riemann problem in this case demonstrate an unusual and complicated behavior.


title: Quasi-Static SIMO Fading Channels at Finite Blocklength

abstract:
  We investigate the maximal achievable rate for a given blocklength and error
probability over quasi-static single-input multiple-output (SIMO) fading
channels. Under mild conditions on the channel gains, it is shown that the
channel dispersion is zero regardless of whether the fading realizations are
available at the transmitter and/or the receiver. The result follows from
computationally and analytically tractable converse and achievability bounds.
Through numerical evaluation, we verify that, in some scenarios, zero
dispersion indeed entails fast convergence to outage capacity as the
blocklength increases. In the example of a particular 1*2 SIMO Rician channel,
the blocklength required to achieve 90% of capacity is about an order of
magnitude smaller compared to the blocklength required for an AWGN channel with
the same capacity.


title:
Exotic pairing states in a Fermi gas with three-dimensional spin-orbit
  coupling

abstract:
  We investigate properties of exotic pairing states in a three-dimensional
Fermi gas with three-dimensional spin-orbit coupling and an effective Zeeman
field. The interplay of spin-orbit coupling, effective Zeeman field and pairing
can lead to first-order phase transitions between different phases, and to
interesting nodal superfluid states with gapless surfaces in the momentum
space. We then demonstrate that pairing states with zero center-of-mass
momentum are unstable against finite center-of-mass momentum
Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states, with the center-of-mass
momentum of the pairs opposite to the direction of the effective Zeeman field.
Unlike conventional FFLO states, these FFLO states are induced by the
coexistence of spin-orbit coupling and Fermi surface deformation, and have
intriguing features like first-order transitions between different FFLO states,
nodal FFLO states with gapless surfaces in momentum space, and exotic fully
gapped FFLO states. With the recent theoretical proposals for realizing
three-dimensional spin-orbit coupling in ultracold atom gases, our work is
helpful for the future experimental studies, and provides valuable information
for the general understanding of pairing physics in spin-orbit coupled
fermionic systems.


title: On Non-Autonomous Evolutionary Problems

abstract:
  The paper extends well-posedness results of a previously explored class of
time-shift invariant evolutionary problems to the case of non-autonomous media.
The Hilbert space setting developed for the time-shift invariant case can be
utilized to obtain an elementary approach to non-autonomous equations. The
results cover a large class of evolutionary equations, where well-known
strategies like evolution families may be difficult to use or fail to work. We
exemplify the approach with an application to a Kelvin-Voigt-type model for
visco-elastic solids.


title: Phenomenology of Minimal Unified Tree Level Gauge Mediation at the LHC

abstract:
  We study the collider phenomenology of the minimal unified version of the
supersymmetry breaking scheme called Tree-level Gauge Mediation. We identify a
peculiar source of gaugino mass non-universality related to the necessary
SU(5)-breaking in the light fermion mass ratios and a gaugino mass sum rule at
the GUT scale, 3 M_2 + 2 M_3 = 5 M_1, which represents a smoking gun of this
scenario, together with the known tree-level sfermion mass ratio \tilde
m_{d^c,l} = \sqrt{2} \tilde m_{q,u^c,e^c}. The boundary conditions of the soft
SUSY breaking terms can be parameterised in terms of six relevant parameters
only (plus the sign of the \mu-parameter). We analyze the parameter space and
define three benchmark points, corresponding to the three possible NLSPs, a
bino- or wino-like neutralino or the stau. The LSP is the gravitino as in gauge
mediation. For these benchmark points we show possible signatures at the LHC
focusing on the Razor variable. We also comment on the Higgs mass.


title:
Parametric Schedulability Analysis of Fixed Priority Real-Time
  Distributed Systems

abstract:
  Parametric analysis is a powerful tool for designing modern embedded systems,
because it permits to explore the space of design parameters, and to check the
robustness of the system with respect to variations of some uncontrollable
variable. In this paper, we address the problem of parametric schedulability
analysis of distributed real-time systems scheduled by fixed priority. In
particular, we propose two different approaches to parametric analysis: the
first one is a novel technique based on classical schedulability analysis,
whereas the second approach is based on model checking of Parametric Timed
Automata (PTA).
  The proposed analytic method extends existing sensitivity analysis for single
processors to the case of a distributed system, supporting preemptive and
non-preemptive scheduling, jitters and unconstrained deadlines. Parametric
Timed Automata are used to model all possible behaviours of a distributed
system, and therefore it is a necessary and sufficient analysis. Both
techniques have been implemented in two software tools, and they have been
compared with classical holistic analysis on two meaningful test cases. The
results show that the analytic method provides results similar to classical
holistic analysis in a very efficient way, whereas the PTA approach is slower
but covers the entire space of solutions.


title: On the intersection of Annihilator of the Valabrega-Valla module

abstract:
  Let $(A,\m)$ be a \CM \ local ring with an infinite residue field and let $I$
be an $\m$-primary ideal. Let $\bx = x_1,\ldots,x_r$ be a $A$-superficial
sequence \wrt \ $I$. Set $$\Vc_I(\bx) = \bigoplus_{n\geq 1} \frac{I^{n+1}\cap
(\bx)}{\bx I^n}. $$ A consequence of a theorem due to Valabrega and Valla is
that $\Vc_I(\bx) = 0$ \ff \ the initial forms $x_1^*,\ldots,x_r^*$ is a
$G_I(A)$ regular sequence. Furthermore this holds if and only if $\depth G_I(A)
\geq r$. We show that if $\depth G_I(A) < r$ then \[ \af_r(I)=
\bigcap_{\substack{\text{$\bx = x_1,\ldots,x_r$ is a} \\ \text{$A$-superficial
sequence w.r.t $I$}}} \ann_A \Vc_I(\bx) \quad \ \text{is} \ \m\text{-primary}.
\] Suprisingly we also prove that under the same hypotheses, \[ \bigcap_{n\geq
1} \af_r(I^n) \quad \ \text{is also} \ \m\text{-primary}. \]


title:
Driving Dipolar Fermions into the Quantum Hall Regime by Spin-Flip
  Induced Insertion of Angular Momentum

abstract:
  A new method to drive a system of neutral dipolar fermions into the lowest
Landau level regime is proposed. By employing adiabatic spin-flip processes in
combination with a diabatic transfer, the fermions are pumped to higher orbital
angular momentum states in a repeated scheme that allows for the precise
control over the final angular momentum. A simple analytical model is derived
to quantify the transfer and compare the approach to rapidly rotating systems.
Numerical simulations of the transfer process have been performed for small,
interacting systems.


title: The speed of Arnold diffusion

abstract:
  A detailed numerical study is presented of the slow diffusion (Arnold
diffusion) taking place around resonance crossings in nearly integrable
Hamiltonian systems of three degrees of freedom in the so-called `Nekhoroshev
regime'. The aim is to construct estimates regarding the speed of diffusion
based on the numerical values of a truncated form of the so-called remainder of
a normalized Hamiltonian function, and to compare them with the outcomes of
direct numerical experiments using ensembles of orbits. In this comparison we
examine, one by one, the main steps of the so-called analytic and geometric
parts of the Nekhoroshev theorem. We are led to two main results: i) We
construct in our concrete example a convenient set of variables, proposed first
by Benettin and Gallavotti (1986), in which the phenomenon of Arnold diffusion
in doubly resonant domains can be clearly visualized. ii) We determine, by
numerical fitting of our data the dependence of the local diffusion coefficient
"D" on the size "||R_{opt}||" of the optimal remainder function, and we compare
this with a heuristic argument based on the assumption of normal diffusion. We
find a power law "D\propto ||R_{opt}||^{2(1+b)}", where the constant "b" has a
small positive value depending also on the multiplicity of the resonance
considered.


title:
Quasi-Periodic Nanoripples in Graphene Grown by Chemical Vapor
  Deposition and Its Impact on Charge Transport

abstract:
  The technical breakthrough in synthesizing graphene by chemical vapor
deposition methods (CVD) has opened up enormous opportunities for large-scale
device applications. In order to improve the electrical properties of CVD
graphene grown on copper (Cu-CVD graphene), recent efforts have focussed on
increasing the grain size of such polycrystalline graphene films to 100
micrometers and larger. While an increase in grain size and hence, a decrease
of grain boundary density is expected to greatly enhance the device
performance, here we show that the charge mobility and sheet resistance of
Cu-CVD graphene is already limited within a single grain. We find that the
current high-temperature growth and wet transfer methods of CVD graphene result
in quasi-periodic nanoripple arrays (NRAs). Electron-flexural phonon scattering
in such partially suspended graphene devices introduces anisotropic charge
transport and sets limits to both the highest possible charge mobility and
lowest possible sheet resistance values. Our findings provide guidance for
further improving the CVD graphene growth and transfer process.


title:
Asymptotic behavior and critical coupling in the scalar Yukawa model
  from Schwinger-Dyson equations

abstract:
  A sequence of $n$-particle approximations for the system of Schwinger-Dyson
equations is investigated in the model of a complex scalar field $\phi$ and a
real scalar field $\chi$ with the interaction $g\phi^*\phi\chi$.
  In the first non-trivial two-particle approximation, the system is reduced to
a system of two nonlinear integral equations for propagators.
  The study of this system shows that for equal masses a critical coupling
constant $g^2_c$ exists, which separates the weak- and strong-coupling regions
with the different asymptotic behavior for deep Euclidean momenta. In the
weak-coupling region ($g^2<g^2_c$), the propagators are asymptotically free,
which corresponds to the wide-spread opinion about the dominance of
perturbation theory for this model. At the critical point the asymptotics of
propagators are $\sim 1/p$.
  In the strong coupling region ($g^2>g^2_c$), the propagators are
asymptotically constant, which corresponds to the ultra-local limit. For
unequal masses, the critical point transforms into a segment of values, in
which there are no solutions with a self-consistent ultraviolet behavior
without Landau singularities.


title: Fixed Functionals in Asymptotically Safe Gravity

abstract:
  We summarize the status of constructing fixed functionals within the
f(R)-truncation of Quantum Einstein Gravity in three spacetime dimensions.
Focusing on curvatures much larger than the IR-cutoff scale, it is shown that
the fixed point equation admits three different scaling regimes: for classical
and quantum dominance the equation becomes linear and has power-law solutions,
while the balanced case gives rise to a generalized homogeneous equation whose
order is reduced by one and whose solutions are non-analytical.


title:
Non-Abelian color fields from relativistic color charge configurations
  in the classical limit

abstract:
  We study the dynamics of color fields as generated by simple configurations
of relativistic particles with Abelian and non-Abelian (SU(2)) charges in the
classical limit. We find that chromodynamic (non-Abelian) systems generally
show Coulomb-like features by analogy with electrodynamics. A peculiar feature
in the non-Abelian case is the additional strength of the chromoelectric and
chromomagnetic fields caused by the contribution of changing the color charge.
This change of color SU(2) charges results in a rotation of the color vector
which is getting very fast at close partonic distances. The presence of this
non-Abelian additional term in the chromoelectric and chromomagnetic fields
creates a 'color charge glow', which is manifested as a distinct color wave
disturbance arising due to the finite distance at which the color interaction
becomes active. This situation may be relevant to the hadronization phase in
ultrarelativistic heavy-ion collisions, where the partonic state is governed by
strong local color fluctuations.


title:
Error Estimates with Explicit Constants for Sinc Quadrature and Sinc
  Indefinite Integration over Infinite Intervals

abstract:
  The Sinc quadrature and the Sinc indefinite integration are approximation
formulas for definite integration and indefinite integration, respectively,
which can be applied on any interval by using an appropriate variable
transformation. Their convergence rates have been analyzed for typical cases
including finite, semi-infinite, and infinite intervals. In addition, for
verified automatic integration, more explicit error bounds that are computable
have been recently given on a finite interval. In this paper, such explicit
error bounds are given in the remaining cases on semi-infinite and infinite
intervals.


title: Counting matroids in minor-closed classes

abstract:
  A flat cover is a collection of flats identifying the non-bases of a matroid.
We introduce the notion of cover complexity, the minimal size of such a flat
cover, as a measure for the complexity of a matroid, and present bounds on the
number of matroids on $n$ elements whose cover complexity is bounded. We apply
cover complexity to show that the class of matroids without an $N$-minor is
asymptotically small in case $N$ is one of the sparse paving matroids
$U_{2,k}$, $U_{3,6}$, $P_6$, $Q_6$, or $R_6$, thus confirming a few special
cases of a conjecture due to Mayhew, Newman, Welsh, and Whittle. On the other
hand, we show a lower bound on the number of matroids without $M(K_4)$-minor
which asymptoticaly matches the best known lower bound on the number of all
matroids, due to Knuth.


title: The Quantum Arnold Transformation and the Ermakov-Pinney equation

abstract:
  The previously introduced Quantum Arnold Transformation, a unitary operator
mapping the solutions of the Schr\"odinger equation for time dependent
quadratic Hamiltonians into the solutions for the free particle, is revised and
some interesting extensions are introduced, providing in particular a
generalization of the Ermakov-Pinney equation.


title: New results on the search for $B^0_s\rightarrow \mu^+\mu^-$ from LHCb

abstract:
  A search for the rare decays $B^0_s\rightarrow \mu^+\mu^-$ and
$B^0\rightarrow \mu^+\mu^-$ is performed with the LHCb experiment using
1.1\,fb$^{-1}$ of data collected at $\sqrt s=8$\,TeV$ and 1.0\,fb$^{-1}$ of
data collected at $\sqrt s=7$\,TeV. An excess of $B^0_s\rightarrow \mu^+\mu^-$
candidates with respect to the background expectations is observed with a
statistical significance of 3.5 standard deviations. A branching fraction of
${\cal BR}(B^0_s\rightarrow \mu^+\mu^-) =(3.2^{+1.5}_{-1.2}) \times 10^{-9}$ is
measured with an unbinned maximum likelihood fit. The measured branching
fraction is in agreement with the expectation from the Standard Model. The
observed number of $B^0\rightarrow \mu^+\mu^-$ candidates is consistent with
the background expectation and an upper limit on the branching fraction of
${\cal BR}(B^0\rightarrow \mu^+\mu^-) < 9.4\times10^{-10}$ is obtained.


title:
Quantum Manipulation of Valleys in Bilayer Graphene: Theory and
  Applications

abstract:
  Quantum manipulation of valleys in bilayer graphene is investigated. We
establish an effective Schrodinger model, and identify two key mechanisms for
valley manipulation - band structure warping and generalized valley-orbit
interaction. Specifically, we implement valley qubits / FETs in bilayer
graphene, as prospective quantum devices to build valley-based quantum /
classical information processing.


title: The DMPK equation for mesoscopic quantum transport revisited

abstract:
  A recent Drude model description of the metallic regime and of a channel-
averaged elastic mean free path (mfp), $\ell_0$, in an $N$-channel
tight-binding wire identifies the Thouless localization length, $N\ell_0$, as a
proper lower bound of macroscopic length scales ("mean free path") for the DMPK
equation describing the localized regime of the wire. The mfp $\ell_0$ leads to
a metallic regime which is consistent with Dorokhov's microscopic transmission
analysis in terms of a nominal elastic mfp. On the other hand, the validity of
Mello's derivation of universal conductance fluctuations in the metallic regime
based on the DMPK equation is restored if the mfp $\ell'$, of order $N\ell_0$,
in that equation is replaced by the correct mean free path $\ell_0$.


title: Inversion of a mapping associated with the Aomoto-Forrester system

abstract:
  This article is devoted to the study of a general class of Hamiltonian
systems which extends the Calogero systems with external quadratic potential
associated to any root system. The interest for such a class comes from a
previous article of Aomoto and Forrester. We consider first the one-degree of
freedom case and compute the Birkhoff series defined near each of its
stationary points. In general, the analysis of the system motivates finding
some expression for the inverses of a rational map introduced by Aomoto and
Forrester. We derive here some diagrammatic expansion series for these
inverses.


title:
Measurement of Charged Particle Spectra in Deep-Inelastic ep Scattering
  at HERA

abstract:
  Charged particle production in deep-inelastic ep scattering is measured with
the H1 detector at HERA. The kinematic range of the analysis covers low photon
virtualities, 5 < Q^2 < 100 GeV^2, and small values of Bjorken-x, 10^{-4} < x <
10^{-2}. The analysis is performed in the hadronic centre-of-mass system. The
charged particle densities are measured as a function of pseudorapidity (eta^*)
and transverse momentum (p_T^*) in the range 0< \eta^* < 5 and 0< p_T^* < 10$
GeV differentially in x and Q^2. The data are compared to predictions from
different Monte Carlo generators implementing various options for hadronisation
and parton evolutions.


title: Dynamical stability of the Gliese 581 exoplanetary system

abstract:
  Using numerical methods we investigate the dynamical stability of the Gliese
581 exoplanetary system. The system is known to harbour four planets (b-e). The
existence of another planet (g) in the liquid water habitable zone of the star
is debated after the latest analyses of the radial velocity (RV) measurements.
We integrated the 4 and 5-planet model of Vogt et al. (AN 333, 561-575, 2012)
with initial circular orbits. To characterize stability, the maximum
eccentricity was used that the planets reached over the time of the
integrations and the LCI and RLI to identify chaotic motion. Since circular
orbits in the RV fits seem to be a too strong restriction and the true orbits
might be elliptic, we investigated the stability of the planets as a function
of their eccentricity. The integration of the circular 4-planet model shows
that it is stable on a longer timescale for even an inclination i = 5{\deg}. A
fifth planetary body in the 4-planet model could have a stable orbit between
the two super-Earth sized planets c and d, and beyond the orbit of planet d,
although another planet would likely only be stable on circular or
near-circular orbit in the habitable zone of the star. Gliese 581 g in the
5-planet model would have a dynamically stable orbit, even for a wider range of
orbital parameters, but its stability is strongly dependent on the eccentricity
of planet d. The low-mass planet e, which quickly became unstable in eccentric
models, remains stable in the circular 4-planet model, but the stable region
around its initial semi-major axis and eccentricity is rather small. The
stability of the inner planets e and c is dependent on the eccentricity of the
Neptune-size planet b. The outermost planet d is far away from the adjacent
planet c to considerably influence its stability, however, the existence of a
planet between the two super-Earth planets c and d constrains its eccentricity.


title:
An EOQ model for imperfect quality items with multiple screening and
  shortage backordering

abstract:
  In this paper, we propose an inventory model where items are inspected
through multiple screening processes before delivery to customers. Each
screening process has independent screening rate and defective percentage.
Defective items screened out are stored and then returned to supplier. Shortage
backordering are also allowed in the model. Two approaches are used to obtain
the closed-form optimal order size and the maximum backordering quantity.
Numerical examples are also provided to demonstrate the use of the model.


title:
Probing non-standard top-quark couplings via optimal-observable analyses
  at LHC

abstract:
  Focusing attention on top-quark pair production and its decay processes at
the LHC, non-standard top-quark couplings are studied based on the effective
Lagrangian constructed with SU(3)X SU(2)X U(1) invariant dimension-6 operators.
The optimal-observable analysis is carried out for the charged-lepton
distributions in pp -> t t-bar X -> l^+ X' (l=e or mu) in order to estimate the
expected statistical uncertainties in measurements of those non-standard t
t-bar g and tbW couplings that contribute to this process in the leading order.


title:
Two meromorphic mappings having the same inverse images of moving
  hyperplanes

abstract:
  In this paper, we will show that if two meromorphic mappings $f$ and $g$ of
$\mathbb C^m$ into $\mathbb P^n(\mathbb C)$ have the same inverse images for
$(2n+2)$ moving hyperplanes $\{a_i\}_{i=1}^{2n+2}$ with multiplicities counted
to level $l_0$ then the map $f\times g$ must be algebraically degenerated over
the field $\mathcal R\{a_i\}_{i=1}^{2n+2}$, where $l_0=3n^3(n+1)q(q-2)$ with
$q=\binom{2n+2}{n+2}$. Our result generalizes the previous result for fixed
hyperplanes case of Fujimoto and also improves his result by giving an explicit
estimate for the number $l_0$.


title: Cloud Computing framework for Computer Vision Research:An Introduction

abstract:
  Cloud computing offers the potential to help scientists to process massive
number of computing resources often required in machine learning application
such as computer vision problems. This proposal would like to show that which
benefits can be obtained from cloud in order to help medical image analysis
users (including scientists, clinicians, and research institutes). As security
and privacy of algorithms are important for most of algorithms inventors, these
algorithms can be hidden in a cloud to allow the users to use the algorithms as
a package without any access to see/change their inside. In another word, in
the user part, users send their images to the cloud and configure the algorithm
via an interface. In the cloud part, the algorithms are applied to this image
and the results are returned back to the user. My proposal has two parts: (1)
investigate the potential of cloud computing for computer vision problems and
(2) study the components of a proposed cloud-based framework for medical image
analysis application and develop them (depending on the length of the
internship). The investigation part will involve a study on several aspects of
the problem including security, usability (for medical end users of the
service), appropriate programming abstractions for vision problems, scalability
and resource requirements. In the second part of this proposal I am going to
thoroughly study of the proposed framework components and their relations and
develop them. The proposed cloud-based framework includes an integrated
environment to enable scientists and clinicians to access to the previous and
current medical image analysis algorithms using a handful user interface
without any access to the algorithm codes and procedures.


title:
Quantum capacitance of an ultrathin topological insulator film in a
  magnetic field

abstract:
  We present a theoretical study of the quantum magnetocapacitance of an
ultrathin topological insulator film in an external magnetic field. The study
is undertaken to investigate the interplay of the Zeeman interaction with the
hybridization between the upper and lower surfaces of the thin film.
Determining the density of states, we find that the electron-hole symmetry is
broken when the Zeeman and hybridization energies are varied relative to each
other. This leads to a change in the character of the magnetocapacitance at the
charge neutrality point. We further show that in the presence of both Zeeman
interaction and hybridization the magnetocapacitance exhibits beating at low
and splitting of the Shubnikov de Haas oscillations at high perpendicular
magnetic field. In addition, we address the crossover from perpendicular to
parallel magnetic field and find consistency with recent experimental data.