title:
BEENISH: Balanced Energy Efficient Network Integrated Super
  Heterogeneous Protocol for Wireless Sensor Networks

abstract:
  In past years there has been increasing interest in field of Wireless Sensor
Networks (WSNs). One of the major issue of WSNs is development of energy
efficient routing protocols. Clustering is an effective way to increase energy
efficiency. Mostly, heterogenous protocols consider two or three energy level
of nodes. In reality, heterogonous WSNs contain large range of energy levels.
By analyzing communication energy consumption of the clusters and large range
of energy levels in heterogenous WSN, we propose BEENISH (Balanced Energy
Efficient Network Integrated Super Heterogenous) Protocol. It assumes WSN
containing four energy levels of nodes. Here, Cluster Heads (CHs) are elected
on the bases of residual energy level of nodes. Simulation results show that it
performs better than existing clustering protocols in heterogeneous WSNs. Our
protocol achieve longer stability, lifetime and more effective messages than
Distributed Energy Efficient Clustering (DEEC), Developed DEEC (DDEEC) and
Enhanced DEEC (EDEEC).


title: Locally CR Spherical Three Manifolds

abstract:
  Every open and orientable three manifold has a CR structure which is locally
equivalent to the standard CR structure on $S^3$.


title: The Inversion Height of the Free Field is Infinite

abstract:
  Let X be a finite set with at least two elements, and let k be any
commutative field. We prove that the inversion height of the embedding k<X>
---> D, where D denotes the universal (skew) field of fractions of the free
algebra k<X>, is infinite. Therefore, if H denotes the free group on X, the
inversion height of the embedding of the group algebra k[H] into the
Malcev-Neumann series ring is also infinite. This answer in the affirmative a
question posed by Neumann in 1949 [27, p. 215]. We also give an infinite family
of examples of non-isomorphic fields of fractions of k<X> with infinite
inversion height. We show that the universal field of fractions of a crossed
product of a commutative field by the universal enveloping algebra of a free
Lie algebra is a field of fractions constructed by Cohn (and later by
Lichtman). This extends a result by A. Lichtman.


title: The Kinematic Age of the Coolest T Dwarfs

abstract:
  Surprisingly, current atmospheric models suggest that the coolest T dwarfs
(T8.5 to T10) are young and very low mass (0.06-2Gyr, 5-20Mjup, Leggett et
al.2009, 2010, 2012). Studies of population kinematics offer an independent
constraint on the age of the population. We present kinematic data of a sample
of 75 mid to late T dwarfs drawn from a variety of sources. We define our
samples, T5.5 to T8 and T8.5 to T10, as mid and late T respectively. UKIDSS LAS
kinematics were derived from our automated LAS proper motion pipeline and
distance estimates derived from spectral types and photometry for the minority
of sources that lack parallaxes. Our results show that the mid and late T
populations do not have distinctly separate tangential velocity distributions
to 95% probability. They also give an approximate mean kinematic age equal to
that of a population with B-V colour 0.51-0.54, and a spectral type late F,
which corresponds to an age of about 2 Gyr. However the median and modal ages
are greater. This indicates that while model atmospheres correctly predict some
trends in colour with gravity and age, reliable ages cannot yet be inferred
from them. More benchmark objects are needed to anchor the models.


title:
Time reversal of light by linear dispersive filtering near atomic
  resonance

abstract:
  Based on the similarity of paraxial diffraction and dispersion mathematical
descriptions, the temporal imaging of optical pulses combines linear dispersive
filters and quadratic phase modulations operating as time lenses. We consider
programming a dispersive filter near atomic resonance in rare earth ion doped
crystals, which leads to unprecedented high values of dispersive power. This
filter is used in an approximate imaging scheme, combining a single time lens
and a single dispersive section and operating as a time reversing device, with
potential applications in radio-frequency signal processing. This scheme is
closely related to three-pulse photon echo with chirped pulses but the
connection with temporal imaging and dispersive filtering emphasizes new
features.


title:
Nanotechnology and Innovation, Recent status and the strategic
  implication for the formation of high tech clusters in Greece, in between a
  global economic crisis

abstract:
  Nanotechnology is the first major worldwide research initiative of the 21st
century and probably is the solution vector in the economic environment. Also,
innovation is widely recognized as a key factor in the economic development of
nations, and is essential for the competitiveness of the industrial firms as
well. Policy and management of innovation are necessary in order to develop
innovation and it involves processes. It is essential to develop new methods
for nanotechnology development for better understanding of nanotechnology based
innovation. Nanotechnologies reveal commercialization processes, from start ups
to large firms in collaboration with public sector research. In the current
paper, a study in the present status of innovation in nanotechnology and the
affection of global economic crisis in this section is made and also the
potential of increase the innovation via the presence of clusters in a small
country like Greece which is in the eye of tornado from the global crisis is
studied.


title:
Probing exciton interaction with a spatially defined charge accumulation
  layer in the organic semiconductor Diindenoperylene

abstract:
  We present an investigation of the microscopic interplay between excitons and
charge carriers by means of combined photoluminescence (PL) and charge carrier
transport measurements on organic thin film transistors (OTFT). For this
purpose, the prototypical organic semiconductor Diindenoperylene (DIP) was
utilized as active material. The OTFT accumulation layer provides a spatially
defined interaction zone for charges and photo-generated excitons leading to a
PL intensity reduction of up to 4.5%. This effect correlates with the
accumulated hole carrier density and provides a lower estimate of about 1.3E-10
cm3/s for the cross-section of non-radiative exciton-hole processes. It is
rationalized that these processes are preferentially mediated by trapped holes.


title: Pump-Controlled Directional Light Emission from Random Lasers

abstract:
  The angular emission pattern of a random laser is typically very irregular
and difficult to tune. Here we show by detailed numerical calculations that one
can overcome the lack of control over this emission pattern by actively shaping
the spatial pump distribution. We demonstrate, in particular, how to obtain
customized pump profiles to achieve highly directional emission. Going beyond
the regime of strongly scattering media where localized modes with a given
directionality can simply be selected by the pump, we present an
optimization-based approach which shapes extended lasing modes in the weakly
scattering regime according to any predetermined emission pattern.


title: Graded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebras

abstract:
  We study a class of graded algebras obtained from Ore extensions of graded
Calabi-Yau algebras of dimension 2. It is proved that these algebras are graded
Calabi-Yau and graded coherent. The superpotentials associated to these graded
Calabi-Yau algebras are also constructed.


title: Variable Selection for Clustering and Classification

abstract:
  As data sets continue to grow in size and complexity, effective and efficient
techniques are needed to target important features in the variable space. Many
of the variable selection techniques that are commonly used alongside
clustering algorithms are based upon determining the best variable subspace
according to model fitting in a stepwise manner. These techniques are often
computationally intensive and can require extended periods of time to run; in
fact, some are prohibitively computationally expensive for high-dimensional
data. In this paper, a novel variable selection technique is introduced for use
in clustering and classification analyses that is both intuitive and
computationally efficient. We focus largely on applications in mixture
model-based learning, but the technique could be adapted for use with various
other clustering/classification methods. Our approach is illustrated on both
simulated and real data, highlighted by contrasting its performance with that
of other comparable variable selection techniques on the real data sets.


title: New Physics in Neutron Beta Decay

abstract:
  Limits on parameters describing physics beyond the Standard Model are
presented. The most general Lorentz invariant effective Hamiltonian at the
quark-lepton level involving vector, scalar and tensor operators has been used.
The fits have been done using the most precise and up to date experimental data
for correlation coefficients measured in free neutron beta decay as well as the
Fierz term measured in superallowed Fermi decays.


title:
Optical reflectivity and magnetoelectric effects on resonant plasmon
  modes in composite metal-multiferroic systems

abstract:
  The r\^{o}le of the magnetoelectric effect upon optical reflectivity is
studied by adapting an electrodynamic-based model for a system composed by a 2D
metallic film in contact with an extended multiferroic material exhibiting weak
ferromagnetism. The well-known \emph{Nakayama's} boundary condition is
reformulated by taking into account the magnetoelectric coupling as well as an
externally applied magnetic field $\mathbf{B}$ in an arbitrary direction. It is
found that the reflectance shows strong fluctuations for incident radiation
close to the characteristic antiferromagnetic resonance frequency associated
with the multiferroic material in the THz regime. These results were verified
for a 10 nm metallic foil by using a finite element method (FEM) and the
Rouard's approach, for a wide range of wavelengths (0.1 - 5 mm), showing good
agreement with respect to Nakayama's outcome, for the particular material
BaMnF$_4$.


title: Probing relaxation times in graphene quantum dots

abstract:
  Graphene quantum dots are attractive candidates for solid-state quantum bits.
In fact, the predicted weak spin-orbit and hyperfine interaction promise spin
qubits with long coherence times. Graphene quantum dot devices have been
extensively investigated with respect to their excitation spectrum,
spin-filling sequence, and electron-hole crossover. However their relaxation
dynamics remain largely unexplored. This is mainly due to challenges in device
fabrication, in particular regarding the control of carrier confinement and the
tunability of the tunnelling barriers, both crucial to experimentally
investigate decoherence times. Here, we report on pulsed-gate transient
spectroscopy and relaxation time measurements of excited states in graphene
quantum dots. This is achieved by an advanced device design, allowing to tune
the tunnelling barriers individually down to the low MHz regime and to monitor
their asymmetry with integrated charge sensors. Measuring the transient
currents through electronic excited states, we estimate lower limit of charge
relaxation times on the order of 60-100 ns.


title:
Compared growth mechanisms of Zn-polar ZnO nanowires on O-polar ZnO and
  on sapphire

abstract:
  Controlling the growth of zinc oxide nanowires is necessary to optimize the
performances of nanowire-based devices such as photovoltaic solar cells,
nano-generators, or light-emitting diodes. In this view, we investigate the
nucleation and growth mechanisms of ZnO nanowires grown by metalorganic vapor
phase epitaxy either on O-polar ZnO or on sapphire substrates. Whatever the
substrate, ZnO nanowires are Zn-polar, as demonstrated by convergent beam
electron diffraction. For growth on O-polar ZnO substrate, the nanowires are
found to sit on O-polar pyramids. As growth proceeds, the inversion domain
boundary moves up in order to remain at the top of the O-polar pyramids. For
growth on sapphire substrates, the nanowires may also originate from the
sapphire / ZnO interface. The presence of atomic steps and the non-polar
character of sapphire could be the cause of the Zn-polar crystal nucleation on
sapphire, whereas it is proposed that the segregation of aluminum impurities
could account for the nucleation of inverted domains for growth on O-polar ZnO.


title: Finite-width effects in unstable-particle production at hadron colliders

abstract:
  We present a general formalism for the calculation of finite-width
contributions to the differential production cross sections of unstable
particles at hadron colliders. In this formalism, which employs an
effective-theory description of unstable-particle production and decay, the
matrix element computation is organized as a gauge-invariant expansion in
powers of $\Gamma_X/m_X$, with $\Gamma_X$ and $m_X$ the width and mass of the
unstable particle. This framework allows for a systematic inclusion of
off-shell and non-factorizable effects whilst at the same time keeping the
computational effort minimal compared to a full calculation in the complex-mass
scheme. As a proof-of-concept example, we give results for an NLO calculation
of top-antitop production in the $q \bar{q}$ partonic channel. As already found
in a similar calculation of single-top production, the finite-width effects are
small for the total cross section, as expected from the na\" ive counting $\sim
\Gamma_t/m_t \sim 1%$. However, they can be sizeable, in excess of 10%, close
to edges of certain kinematical distributions. The dependence of the results on
the mass renormalization scheme, and its implication for a precise extraction
of the top-quark mass, is also discussed.


title:
Mixtures of foam and paste: suspensions of bubbles in yield stress
  fluids

abstract:
  We study the rheological behavior of mixtures of foams and pastes, which can
be described as suspensions of bubbles in yield stress fluids. Model systems
are designed by mixing monodisperse aqueous foams and concentrated emulsions.
The elastic modulus of the suspensions decreases with the bubble volume
fraction. This decrease is all the sharper as the elastic capillary number
(defined as the ratio of the paste elastic modulus to the bubble capillary
pressure) is high, which accounts for the softening of the bubbles as compared
to the paste. By contrast, the yield stress of most studied materials is not
modified by the presence of bubbles. Their plastic behavior is governed by the
plastic capillary number, defined as the ratio of the paste yield stress to the
bubble capillary pressure. At low plastic capillary number values, bubbles
behave as nondeformable inclusions, and we predict that the suspension
dimensionless yield stress should remain close to unity. At large plastic
capillary number values, we observe bubble breakup during mixing: bubbles are
deformed by shear. Finally, at the highest bubble volume fractions, the yield
stress increases abruptly: this is interpreted as a 'foamy yield stress fluid'
regime, which takes place when the paste mesoscopic constitutive elements are
strongly confined in the films between the bubbles.


title: Basic Properties and Stability of Fractional-Order Reset Control Systems

abstract:
  Reset control is introduced to overcome limitations of linear control. A
reset controller includes a linear controller which resets some of states to
zero when their input is zero or certain non-zero values. This paper studies
the application of the fractional-order Clegg integrator (FCI) and compares its
performance with both the commonly used first order reset element (FORE) and
traditional Clegg integrator (CI). Moreover, stability of reset control systems
is generalized for the fractional-order case. Two examples are given to
illustrate the application of the stability theorem.


title:
A simulation Method for Network Performability Estimation using
  Heuristically-computed Pathsets and Cutsets

abstract:
  Consider a set of terminal nodes K that belong to a network whose nodes are
connected by links that fail independently with known probabilities. We
introduce a method for estimating any performability measure that depends on
the hop distance between terminal nodes. It generalises previously introduced
Monte Carlo methods for estimation of the K-reliability of networks with
variance reduction compared to crude Monte Carlo. They are based on using sets
of edges named d-pathsets and d-cutsets for reducing the variance of the
estimator. These sets of edges, considered as a priori known in previous
literature, heaviliy affect the attained performance; we hereby introduce and
compare a family of heuristics for their selection. Numerical examples are
presented, showing the significant efficiency improvements that can be obtained
by chaining the edge set selection heuristics to the proposed Monte Carlo
sampling plan.


title:
The influence of changes in water content on the electrical resistivity
  of a natural unsaturated loess

abstract:
  Non-destructive methods of measuring water content in soils have been
extensively developed in the last decades, especially in soil science. Among
these methods, the measurements based on the electrical resistivity are simple
and reliable thanks to the clear relationship between the water content and the
electrical resistivity of soils. In this work, a new electrical resistivity
probe was developed to monitor the change in local water content in the
triaxial apparatus. The probe is composed of two-pair of electrodes, and an
electrical current is induced through the soil at the vicinity of the contact
between the probe and the specimen. Some experimental data on the changes in
resistivity with the degree of saturation were obtained in specimens of a
natural unsaturated loess from Northern France. Two theoretical models of
resistivity were also used to analyze the obtained data. Results are finally
discussed with respect to the loess's water retention properties.


title:
A laboratory investigation of thermally induced pore pressures in the
  Callovo-Oxfordian Claystone

abstract:
  In the framework of research into radioactive waste disposal, it was decided
to investigate the thermally induce pore pressure occurring in the
Callovo-Oxfordian claystone, a possible host rock in which the ANDRA
underground laboratory of Bure (East of France) has been excavated. Thermal
pore pressures appear in low permeability soils and rocks because the thermal
expansion coefficient of water is significantly higher than that of the solid
grains (Campanella and Mitchell; 1968 [1], Ghabezloo and Sulem; 2009 [2]). This
phenomenon has clearly been observed in various in-situ heating tests conducted
in Opalinus claystone in the Mont-Terri Underground Research Laboratory (URL)
in Switzerland (HE-D test) and in Callovo-Oxfordian (COx) claystone in the Bure
URL in France (TER test, Wileveau and Su; 2007 [3]) The processes of coring,
transportation, storage and specimen trimming induce some desaturation in the
sample. Due to the very low permeability (10-20 m2) of the COx claystone, a
long period of time is necessary to properly resaturate the sample, a mandatory
condition to satisfactorily investigate thermal pressurisation. Particular
emphasis was hence put on the previous saturation procedure that was carried
out under in-situ effective stress condition. Thermal pressurization has been
investigated by performing undrained heating tests while measuring pore
pressures changes in a specially adapted thermal isotropic compression cell.
Special care was devoted to calibration procedures to account for the effects
of the system on the pore pressure measurements. The thermal pressurization
coefficient measured appeared to change with temperature, mainly because of the
changes with temperature of both the water thermal expansion coefficient of
water and the drained compression coefficient of the claystone.


title: Projection onto the Cosparse Set is NP-Hard

abstract:
  The computational complexity of a problem arising in the context of sparse
optimization is considered, namely, the projection onto the set of $k$-cosparse
vectors w.r.t. some given matrix $\Omeg$. It is shown that this projection
problem is (strongly) \NP-hard, even in the special cases in which the matrix
$\Omeg$ contains only ternary or bipolar coefficients. Interestingly, this is
in contrast to the projection onto the set of $k$-sparse vectors, which is
trivially solved by keeping only the $k$ largest coefficients.


title: How To Generate As Many Somos-Like Miracles as You Wish

abstract:
  Jacobi said "man muss immer umkehren". And indeed it takes a genius like
Michael Somos to take a specific non-linear recurrence, like
a(n)=(a(n-1)a(n-3)+a(n-2)^2)/a(n-4), subject to a(1)=1, a(2)=1, a(3)=1, a(4)=1,
and observe that surprise, surprise, they always generate integers. Then it
takes other geniuses to actually prove this fact (and the more general
so-called Laurent phenomenon).
  But let's follow Jacobi's advise and go backwards. Rather than try to shoot a
target fifty meters away, and most probably miss it, let's shoot first, and
then draw the bull'e eye. Then we are guaranteed to be champion
target-shooters. So let's take a sequence of integers that manifestly and
obviously only consists of integers, and ask our beloved computers to find
non-linear recurrences satisfied by the sequence itself, or by well-defined
subsequences.


title:
Thermodynamics as a multistep relaxation process and the role of
  observables in different scales of quantities

abstract:
  In the first part of the paper, we introduce the concept of observable
quantities associated with a macroinstrument measuring the density and
temperature and with a microinstrument determining the radius of a molecule and
its free path length, and also the relationship between these observable
quantities. The concept of the number of degrees of freedom, which relates the
observable quantities listed above, is generalized to the case of low
temperatures. An analogy between the creation and annihilation operators for
pairs (dimers) and the creation and annihilation operators for particles
(molecules) is carried out. A generalization of the concept of a Bose
condensate is introduced for classical molecules as an analog of an ideal
liquid (without attraction). The negative pressure in the liquid is treated as
holes (of exciton type) in the density of the Bose condensate. The phase
transition gas-liquid is calculated for an ideal gas (without attraction). A
comparison with experimental data is carried out.
  In the other part of the paper, we introduce the concept of new observable
quantity, namely, of a pair (a dimer), as a result of attraction between the
nearest neighbors. We treat in a new way the concepts of Boyle temperature
$T_B$ (as the temperature above which the dimers disappear) and of the critical
temperature $T_c$ (below which the trimers and clusters are formed). The
equation for the Zeno line is interpreted as the relation describing the
dependence of the temperature on the density at which the dimers disappear. We
calculate the maximal density of the liquid and also the maximal density of the
holes. The law of corresponding states is derived as a result of an observation
by a macrodevice which cannot distinguish between molecules of distinct gases,
theoretical and experimental data are compared, observations in three scales,
macro, micro, and nano, are studied.


title: Computing Severi Degrees with Long-edge Graphs

abstract:
  We study a class of graphs with finitely many edges in order to understand
the nature of the formal logarithm of the generating series for Severi degrees
in elementary combinatorial terms. These graphs are related to floor diagrams
associated to plane tropical curves originally developed by Brugalle and
Mikhalkin, and used by Block, Fomin, and Mikhalkin to calculate Severi degrees
of the projective plane and node polynomials of plane curves.


title: On the Origin of the Lorentz Transformation

abstract:
  The Lorentz Transformation, which is considered as constitutive for the
Special Relativity Theory, was invented by Voigt in 1887, adopted by Lorentz in
1904, and baptized by Poincar\'e in 1906. Einstein probably picked it up from
Voigt directly.


title:
Error Performance and Diversity Analysis of Multi-Source Multi-Relay
  Wireless Networks with Binary Network Coding and Cooperative MRC

abstract:
  In this paper, we contribute to the theoretical understanding, the design,
and the performance evaluation of multi-source multi-relay network-coded
cooperative diversity protocols. These protocols are useful to counteract the
spectral inefficiency of repetition-based cooperation. We provide a general
analytical framework for analysis and design of wireless networks using the
Demodulate-and-Forward (DemF) protocol with binary Network Coding (NC) at the
relays and Cooperative Maximal Ratio Combining (C-MRC) at the destination. Our
system model encompasses an arbitrary number of relays which offer two
cooperation levels: i) full-cooperative relays, which postpone the transmission
of their own data frames to help the transmission of the sources via DemF
relaying and binary NC; and ii) partial-cooperative relays, which exploit NC to
transmit their own data frames along with the packets received from the
sources. The relays can apply NC on different subsets of sources, which is
shown to provide the sources with unequal diversity orders. Guidelines to
choose the packets to be combined, i.e., the network code, to achieve the
desired diversity order are given. Our study shows that partial-cooperative
relays provide no contribution to the diversity order of the sources.
Theoretical findings and design guidelines are validated through extensive
Monte Carlo simulations.


title:
Stable Numerical Integration of an Epitaxial Growth Model with Slope
  Selection

abstract:
  We consider a continuum phase field model for crystal growth via molecular
beam epitaxy, with the goal of determining stable numerical time integration
methods for the dynamics. We parametrize a class of semi-implicit methods that
are linear in the updated field, which allows for efficient implementation with
fast Fourier transforms. We perform unconditional von Neumann stability
analysis to identify the region of stability in parameter space, and then test
these predictions numerically for gradient stability. We find strong agreement
between the approaches.


title:
Regularized maximum of strictly plurisubharmonic functions on an almost
  complex manifold

abstract:
  We prove that the maximum of two smooth strictly plurisubharmonic functions
on an almost complex manifold can be uniformly approximated by smooth strictly
plurisubharmonic functions.


title: Incremental Maintenance for Leapfrog Triejoin

abstract:
  We present an incremental maintenance algorithm for leapfrog triejoin. The
algorithm maintains rules in time proportional (modulo log factors) to the edit
distance between leapfrog triejoin traces.


title: A search for flavor-changing non-standard neutrino interactions by MINOS

abstract:
  We report new constraints on flavor-changing non-standard neutrino
interactions (NSI) using data from the MINOS experiment. We analyzed a combined
set of beam neutrino and antineutrino data, and found no evidence for
deviations from standard neutrino mixing. The observed energy spectra constrain
the NSI parameter to the range $-0.20 < \varepsilon_{\mu\tau} <
0.07\;\text{(90% C.L.)}$


title:
Inferring the origin of an epidemic with a dynamic message-passing
  algorithm

abstract:
  We study the problem of estimating the origin of an epidemic outbreak --
given a contact network and a snapshot of epidemic spread at a certain time,
determine the infection source. Finding the source is important in different
contexts of computer or social networks. We assume that the epidemic spread
follows the most commonly used susceptible-infected-recovered model. We
introduce an inference algorithm based on dynamic message-passing equations,
and we show that it leads to significant improvement of performance compared to
existing approaches. Importantly, this algorithm remains efficient in the case
where one knows the state of only a fraction of nodes.

categories: physics.soc-ph cond-mat.stat-mech cs.SI q-bio.PE


title: The hunt for new pulsars with the Green Bank Telescope

abstract:
  The Green Bank Telescope (GBT) is the largest fully steerable radio telescope
in the world and is one of our greatest tools for discovering and studying
radio pulsars. Over the last decade, the GBT has successfully found over 100
new pulsars through large-area surveys. Here I discuss the two most
recent---the GBT 350 MHz Drift-scan survey and the Green Bank North Celestial
Cap survey. The primary science goal of both surveys is to find interesting
individual pulsars, including young pulsars, rotating radio transients, exotic
binary systems, and especially bright millisecond pulsars (MSPs) suitable for
inclusion in Pulsar Timing Arrays, which are trying to directly detect
gravitational waves. These two surveys have combined to discover 85 pulsars to
date, among which are 14 MSPs and many unique and fascinating systems. I
present highlights from these surveys and discuss future plans. I also discuss
recent results from targeted GBT pulsar searches of globular clusters and Fermi
sources.


title: The Dynamical Functional Particle Method

abstract:
  We present a new algorithm which is named the Dynamical Functional Particle
Method, DFPM. It is based on the idea of formulating a finite dimensional
damped dynamical system whose stationary points are the solution to the
original equations. The resulting Hamiltonian dynamical system makes it
possible to apply efficient symplectic integrators. Other attractive properties
of DFPM are that it has an exponential convergence rate, automatically includes
a sparse formulation and in many cases can solve nonlinear problems without any
special treatment. We study the convergence and convergence rate of DFPM. It is
shown that for the discretized symmetric eigenvalue problems the computational
complexity is given by $\mathcal{O}(N^{(d+1)/{d}})$, where \emph{d} is the
dimension of the problem and \emph{N} is the vector size. An illustrative
example of this is made for the 2-dimensional Schr\"odinger equation.
Comparisons are made with the standard numerical libraries ARPACK and LAPACK.
The conjugated gradient method and shifted power method are tested as well. It
is concluded that DFPM is both versatile and efficient.


title: Optical Generation of Excitonic Valley Coherence in Monolayer WSe2

abstract:
  Due to degeneracies arising from crystal symmetries, it is possible for
electron states at band edges ("valleys") to have additional spin-like quantum
numbers. An important question is whether coherent manipulation can be
performed on such valley pseudospins, analogous to that routinely implemented
using true spin, in the quest for quantum technologies. Here we show for the
first time that SU(2) valley coherence can indeed be generated and detected.
Using monolayer semiconductor WSe2 devices, we first establish the circularly
polarized optical selection rules for addressing individual valley excitons and
trions. We then reveal coherence between valley excitons through the
observation of linearly polarized luminescence, whose orientation always
coincides with that of any linearly polarized excitation. Since excitons in a
single valley emit circularly polarized photons, linear polarization can only
be generated through recombination of an exciton in a coherent superposition of
the two valleys. In contrast, the corresponding photoluminescence from trions
is not linearly polarized, consistent with the expectation that the emitted
photon polarization is entangled with valley pseudospin. The ability to address
coherence, in addition to valley polarization, adds a critical dimension to the
quantum manipulation of valley index necessary for coherent valleytronics.


title: Glued trees algorithm under phase damping

abstract:
  We study the behaviour of the glued trees algorithm described by Childs et
al. in [STOC `03, Proc. 35th ACM Symposium on Theory of Computing (2004) 59]
under decoherence. We consider a discrete time reformulation of the continuous
time quantum walk protocol and apply a phase damping channel to the coin state,
investigating the effect of such a mechanism on the probability of the walker
appearing on the target vertex of the graph. We pay particular attention to any
potential advantage coming from the use of weak decoherence for the spreading
of the walk across the glued trees graph.


title:
Metal Insulator Transition of Cr doped V2O3 calculated by hybrid density
  functional

abstract:
  The electronic structure of vanadium sesquioxide in its different phases has
been calculated using the screened exchange (sX) hybrid functional. The hybrid
functional reproduces the electronic properties of all three phases, the
paramagnetic metal (PM) phase, the anti-ferromagnetic insulating phase, and the
Cr-doped paramagnetic insulating (PI) phase. A fully relaxed supercell model of
Cr-doped V2O3 has a polaronic distortion around the substitutional Cr atoms and
this local strain drives the PI-PM transition. The PI phase has a calculated
band gap of 0.15eV in good agreement with experiment.


title:
Feasibility Conditions of Interference Alignment via Two Orthogonal
  Subcarriers

abstract:
  Conditions are derived on line-of-sight channels to ensure the feasibility of
interference alignment. The conditions involve choosing only the spacing
between two subcarriers of an orthogonal frequency division multiplexing (OFDM)
scheme. The maximal degrees-of-freedom are achieved and even an upper bound on
the sum-rate of interference alignment is approached arbitrarily closely.


title: Chiral specific electron vortex beam spectroscopy

abstract:
  Electron vortex beams carry well-defined orbital angular momentum (OAM) about
the propagation axis. Such beams are thus characterised by chirality features
which make them potentially useful as probes of magnetic and other chiral
materials. An analysis of the inelastic processes in which electron vortex
beams interact with atoms and which involve OAM exchange is outlined, leading
to the multipolar selection rules governing this chiral specific electron
vortex beam spectroscopy. Our results show clearly that the selection rules are
dependent on the dynamical state and location of the atoms involved. In the
most favorable scenario, this form of electron spectroscopy can induce magnetic
sublevel transitions which are commonly probed using circularly polarized
photon beams.


title: Vertical probe-induced asymmetric dust oscillation in complex plasma

abstract:
  Spherical, micrometer-sized particles within a Coulomb crystal levitated in
the sheath above the powered lower electrode in a GEC reference cell are
perturbed using a Zyvex S100 Nanomanipulator. Using the S100, a vertical probe
is positioned within the cell at various locations with respect to the crystal
formed within the sheath. As the probe is lowered toward the horizontal plane
of the dust layer, a circular cavity opens in the center of the crystal and
expands. To explore the minimally perturbative state, the probe is lifted to
the position that closes this cavity, the probe potential is oscillated, and
the motion of the particle directly beneath the probe is analyzed. Using a
simple electric field model for the plasma sheath, the change predicted in the
levitation height is compared with experiment.


title: Solution of the KdV equation on the line with analytic initial potential

abstract:
  We present a theory of Sturm-Liouville non-symmetric vessels, realizing an
inverse scattering theory for the Sturm-Liouville operator with analytic
potentials on the line. This construction is equivalent to the construction of
a matrix spectral measure for the Sturm-Liouville operator, defined with an
analytic potential on the line. Evolving such vessels we generate KdV vessels,
realizing solutions of the KdV equation. As a consequence, we prove the
following theorem:
  Suppose that q(x) is an analytic function on R. There exists a KdV vessel,
which exists on a subset O of the plane. For each real x there exists positive
T_x such that $\{x\}\times [-T_x,T_x]$ is in O. The potential q(x) is realized
by the vessel for t=0.
  Since we also show that if q(x,t) is a solution of the KdV equation on a
strip $R\times[0,T]$, then there exists a vessel, realizing it, the theory of
vessels becomes a universal tool to study this problem. Finally, we notice that
the idea of the proof applies to a similar existence of a solution for
evolutionary NLS and Boussinesq equations, since both of these equations
possess vessel constructions.


title:
Study of local regularities in the solar wind data and ground
  magnetograms

abstract:
  Interplanetary coronal mass ejections (ICMEs) can reach the Earth's
magnetosphere causing magnetic disturbances. It can be measured by satellite
and ground-based magnetometers. Data from the ACE satellite and from the
geomagnetic field was explored here via discrete wavelet transform (DWT). The
increase of wavelet coefficient amplitudes of the solar wind parameters and
geomagnetic field data analysis are well-correlated with the arrival of the
shock and sheath region. As an auxiliary tool to verify the disturbed magnetic
fields identified by the DWT, we developed a new approach called effectiveness
wavelet coefficient (EWC) methodology. The first interpretation of the results
suggests that DWT and EWC can be effectively used to characterize the
fluctuations on the solar wind parameters and its contributions to the
geomagnetic field. Further, these techniques could be implemented to real-time
analysis for forecast space weather scenarios.


title: Greenberger-Horne-Zeilinger theorem for N qudits

abstract:
  We generalize Greenberger-Horne-Zeilinger (GHZ) theorem to an arbitrary
number of D-dimensional systems. Contrary to conventional approaches using
compatible composite observables, we employ incompatible and concurrent
observables, whose common eigenstate is still a generalized GHZ state. It is
these concurrent observables which enable to prove a genuinely N-partite and
D-dimensional GHZ theorem. Our principal idea is illustrated for a four-partite
system with D which is an arbitrary multiple of 3. By extending to N qudits, we
show that GHZ theorem holds as long as N is not divisible by all nonunit
divisors of D, smaller than N.


title:
Reassessing the importance of the colour-singlet contributions to direct
  J/psi+W production at the LHC and the Tevatron

abstract:
  We show that the colour-singlet contributions to the hadroproduction of J/psi
in association with a W boson are sizable, if not dominant over the
colour-octet contributions. They are of two kinds, sg -> J/psi + c + W at
alpha^3_S alpha and q q'-bar -> gamma*/Z* W -> J/psi W at order alpha^3. These
have not been considered in the literature until now. Our conclusion is that
the hadroproduction of a J/psi in association with a W boson cannot be claimed
as a clean probe of the colour-octet mechanism. The rate are small even at the
LHC and it will be very delicate to disentangle the colour-octet contributions
from the sizable colour-singlet ones and from the possibly large
double-parton-scattering contributions. During this analysis, we have also
noted that, for reactions such as the production of a J/psi by light
quark-antiquark fusion, the colour-singlet contribution via an off-shell photon
is of the order of the expectation from the colour-octet contribution via an
off-shell gluon. This is relevant for inclusive production at low energies
close to the threshold. Such an observation also likely extends to other
processes naturally involving light-quark annihilation.


title: Updated Nearby Galaxy Catalog

abstract:
  We present an all-sky catalog of 869 nearby galaxies, having individual
distance estimates within 11 Mpc or corrected radial velocities V_{LG} < 600
km/s. The catalog is a renewed and expanded version of the "Catalog of
Neighboring Galaxies" by Karachentsev et al. (2004). It collects data on the
following observables for the galaxies: angular diameters, apparent magnitudes
in FUV-, B-, and K_s- bands, H_alpha and HI fluxes, morphological types,
HI-line widths, radial velocities and distance estimates. In this Local Volume
(LV) sample 108 dwarf galaxies remain to be still without measured radial
velocities.
  The catalog yields also calculated global galaxy parameters: linear Holmberg
diameter, absolute B-magnitude, surface brightness, HI-mass, stellar mass
estimated via K-band luminosity, HI rotational velocity corrected for galaxy
inclination, indicative mass within the Holmberg radius, and three kinds of
"tidal index", which quantify the local density environment. The catalog is
supplemented with the data based on the local galaxies
(http://www.sao.ru/lv/lvgdb), which presents their optical and available
H_alpha images, as well as other service.
  We briefly discuss the Hubble flow within the LV, and different scaling
relations that characterize galaxy structure and global star formation in them.
We also trace the behavior of the mean stellar mass density, HI-mass density
and star formation rate density within the considered volume.


title:
Forward-Backward Stochastic Differential Systems Associated to
  Navier-Stokes Equations in the Whole Space

abstract:
  A coupled forward-backward stochastic differential system (FBSDS) is
formulated in spaces of fields for the incompressible Navier-Stokes equation in
the whole space. It is shown to have a unique local solution, and further if
either the Reynolds number is small or the dimension of the forward stochastic
differential equation is equal to two, it can be shown to have a unique global
solution. These results are shown with probabilistic arguments to imply the
known existence and uniqueness results for the Navier-Stokes equation, and thus
provide probabilistic formulas to the latter. Related results and the maximum
principle are also addressed for partial differential equations (PDEs) of
Burgers' type. Moreover, from truncating the time interval of the above FBSDS,
approximate solution is derived for the Navier-Stokes equation by a new class
of FBSDSs and their associated PDEs; our probabilistic formula is also bridged
to the probabilistic Lagrangian representations for the velocity field, given
by Constantin and Iyer (Commun. Pure Appl. Math. 61: 330--345, 2008) and Zhang
(Probab. Theory Relat. Fields 148: 305--332, 2010) ; finally, the solution of
the Navier-Stokes equation is shown to be a critical point of controlled
forward-backward stochastic differential equations.


title:
Stabilization of perturbed integrator chains using Lyapunov-Based
  Homogeneous Controllers

abstract:
  In this paper, we present a Lyapunov-based homogeneous controller for the
stabilization of a perturbed chain of integrators of arbitrary order $r\geq 1$.
The proposed controller is based on homogeneous controller for stabilization of
pure integrator chains. The advantages to control the homogeneity degree of the
controller are also discussed. A bounded-controller with minimum amplitude of
discontinuous control and a controller with fixed-time convergence are
synthesized, using control of homogeneity degree, and their performances are
shown in simulations. It is demonstrated that the homogeneous arbitrary HOSM
controller \cite{Levant2001} is a particular case of our controller.


title: Ab Initio Calculation of Finite Temperature Charmonium Potentials

abstract:
  The interquark potential in charmonium states is calculated for the first
time in both the zero and non-zero temperature phases from a first-principles
lattice QCD calculation. Simulations with two dynamical quark flavours were
used with temperatures T in the range 0.4 T_c \lesssim T \lesssim 1.7 T_c,
where T_c is the deconfining temperature. The correlators of point-split
operators were analysed to gain spatial information about the charmonium
states. A method, introduced by the HAL QCD collaboration and based on the
Schroedinger equation, was applied to obtain the interquark potential. We find
a clear temperature dependence, with the central potential becoming flatter
(more screened) as the temperature increases.


title: Electric charge quantization in SU(3)XSU(4)XU(1) models

abstract:
  We obtain electric charge quantization in the context of models based on the
gauge symmetry group SU(3) X SU(4) X U(1). The gauge models studied include
three families to cancel out anomalies and a set of scalar fields to break
spontaneously the symmetry. To show the electric charge quantization, we use
clasical symmetry conditions and quantum quiral anomaly conditions.


title: Elementary criteria for irreducibility of $f(X^n)$

abstract:
  Very simple sufficient conditions for the irreducibility of $f(X^n)$ over an
arbitrary unique factorization domain $Z$ are established via a generalization
of a well known theorem of A. Capelli.


title: On the total curvature of tropical hypersurfaces

abstract:
  This paper studies the curvatures of amoebas and real amoebas (i.e.
essentially logarithmic curvatures of the complex and real parts of a real
algebraic hypersurface) and of tropical and real tropical hypersurfaces.
  If V is a tropical hypersurface defined over the field of real Puiseux
series, it has a real part RV which is a polyhedral complex. We define the
total curvature of V (resp. RV) by using the total curvature of Amoebas and
passing to the limit.
  We also define the "polyhedral total curvature" of the real part RV of a
generic tropical hypersurface.
  The main results we prove about these notions are the following:
  - The fact that the total curvature and the polyhedral total curvature
coincide for real non-singular tropical hypersurfaces.
  - A universal inequality between the total curvatures of V and RV and another
between the logarithmic curvatures of the real and complex parts of a real
algebraic hypersurface.
  -The fact that this inequality is sharp in the non-singular case.


title: Radio continuum observations of the Leo Triplet at 2.64 GHz

abstract:
  Aims. The magnetic fields of the member galaxies NGC 3628 and NGC 3627 show
morphological peculiarities, suggesting that interactions within the group may
be caused by stripping of the magnetic field. This process could supply the
intergalactic space with magnetised material, a scenario considered as a
possible source of intergalactic magnetic fields (as seen eg. in the Taffy
pairs of galaxies). Additionally, the plumes are likely to be the tidal dwarf
galaxy candidates.
  Methods. We performed radio continuum mapping observations at 2.64 GHz using
the 100-m Effelsberg radio telescope. We obtained total power and polarised
intensity maps of the Triplet. These maps were analysed together with the
archive data, and the magnetic field strength (as well as the magnetic energy
density) was estimated.
  Results. Extended emission was not detected either in the total power or the
polarised intensity maps. We obtained upper limits of the magnetic field
strength and the energy density of the magnetic field in the Triplet. We
detected emission from the easternmost clump and determined the strength of its
magnetic field. In addition, we measured integrated fluxes of the member
galaxies at 2.64 GHz and estimated their total magnetic field strengths.
  Conclusions. We found that the tidal tail hosts a tidal dwarf galaxy
candidate that possesses a detectable magnetic field with a non-zero ordered
component. Extended radio continuum emission, if present, is weaker than the
reached confusion limit. The total magnetic field strength does not exceed 2.8
{\mu}G and the ordered component is lower than 1.6 {\mu}G.


title:
Cosmological parameter estimation with free-form primordial power
  spectrum

abstract:
  Constraints on the main cosmological parameters using CMB or large scale
structure data are usually based on power-law assumption of the primordial
power spectrum (PPS). However, in the absence of a preferred model for the
early universe, this raises a concern that current cosmological parameter
estimates are strongly prejudiced by the assumed power-law form of PPS. In this
paper, for the first time, we perform cosmological parameter estimation
allowing the free form of the primordial spectrum. This is in fact the most
general approach to estimate cosmological parameters without assuming any
particular form for the primordial spectrum. We use direct reconstruction of
the PPS for any point in the cosmological parameter space using recently
modified Richardson-Lucy algorithm however other alternative reconstruction
methods could be used for this purpose as well. We use WMAP 9 year data in our
analysis considering CMB lensing effect and we report, for the first time, that
the flat spatial universe with no cosmological constant is ruled out by more
than 4\sigma confidence limit without assuming any particular form of the
primordial spectrum. This would be probably the most robust indication for dark
energy using CMB data alone. Our results on the estimated cosmological
parameters show that higher values of baryonic and matter density and lower
value of Hubble parameter (in comparison to the estimated values by assuming
power-law PPS) is preferred by the data. However, the estimated cosmological
parameters by assuming free form of the PPS have overlap at 1\sigma confidence
level with the estimated values assuming power-law form of PPS.


title: K_1 of a p-adic group ring II. The determinantal kernel SK_1

abstract:
  We describe the group SK_1(R[G]) for group rings R[G] where G is an arbitrary
finite group and where the coefficient ring R is a p-adically complete
Noetherian integral domain of characteristic zero which admits a lift of
Frobenius and which also satisfies a number of further mild conditions. Our
results extend previous work of R. Oliver who obtained such results for the
valuation rings of finite extensions of the p-adic field.


title: Search for microscopic black holes in pp collisions at sqrt(s) = 8 TeV

abstract:
  A search for microscopic black holes and string balls is presented, based on
a data sample of pp collisions at sqrt(s) = 8 TeV recorded by the CMS
experiment at the Large Hadron Collider and corresponding to an integrated
luminosity of 12 inverse femtobarns. No excess of events with energetic
multiparticle final states, typical of black hole production or of similar new
physics processes, is observed. Given the agreement of the observations with
the expected standard model background, which is dominated by QCD multijet
production, 95% confidence limits are set on the production of semiclassical or
quantum black holes, or of string balls, corresponding to the exclusions of
masses below 4.3 to 6.2 TeV, depending on model assumptions. In addition,
model-independent limits are set on new physics processes resulting in
energetic multiparticle final states.


title:
Synchronization in hyperchaotic time-delayed electronic oscillators
  coupled indirectly via a common environment

abstract:
  The present paper explores the synchronization scenario of hyperchaotic
time-delayed electronic oscillators coupled indirectly via a common
environment. We show that depending upon the coupling parameters a hyperchaotic
time-delayed system can show in-phase or complete synchronization, and also
inverse-phase or anti-synchronization. This paper reports the first
experimental confirmation of synchronization of hyperchaos in time-delayed
electronic oscillators coupled indirectly through a common environment. We
confirm the occurrence of in-phase and inverse-phase synchronization phenomena
in the coupled system through the dynamical measures like generalized
autocorrelation function, correlation of probability of recurrence, and the
concept of localized sets computed directly from the experimental time-series
data. We also present a linear stability analysis of the coupled system. The
experimental and analytical results are further supported by the detailed
numerical analysis of the coupled system. Apart from the above mentioned
measures, we numerically compute another quantitative measure, namely, Lyapunov
exponent spectrum of the coupled system that confirms the transition from the
in-phase (inverse-phase) synchronized state to the complete (anti-)
synchronized state with the increasing coupling strength.


title: Stable pair invariants of surfaces and Seiberg-Witten invariants

abstract:
  The moduli space of stable pairs on a local surface $X=K_S$ is in general
non-compact. The action of $\mathbb{C}^*$ on the fibres of $X$ induces an
action on the moduli space and the stable pair invariants of $X$ are defined by
the virtual localization formula. We study the contribution to these invariants
of stable pairs (scheme theoretically) supported in the zero section $S \subset
X$. Sometimes there are no other contributions, e.g. when the curve class
$\beta$ is irreducible.
  We relate these surface stable pair invariants to the Poincar\'e invariants
of D\"urr-Kabanov-Okonek. The latter are equal to the Seiberg-Witten invariants
of $S$ by work of D\"urr-Kabanov-Okonek and Chang-Kiem. We give two
applications of our result. (1) For irreducible curve classes the GW/PT
correspondence for $X = K_S$ implies Taubes' GW/SW correspondence for $S$. (2)
When $p_g(S) = 0$, the difference of surface stable pair invariants in class
$\beta$ and $K_S - \beta$ is a universal topological expression.


title: The importance of local measurements for cosmology

abstract:
  We explore how local, cosmology-independent measurements of the Hubble
constant and the age of the Universe help to provide a powerful consistency
check of the currently favored cosmological model (flat LambdaCDM) and
model-independent constraints on cosmology. We use cosmic microwave background
(CMB) data to define the model-dependent cosmological parameters, and add local
measurements to assess consistency and determine whether extensions to the
model are justified. At current precision, there is no significant tension
between the locally measured Hubble constant and age of the Universe (with
errors of 3% and 5% respectively) and the corresponding parameters derived from
the CMB. However, if errors on the local measurements could be decreased by a
factor of two, one could decisively conclude if there is tension or not. We
also compare the local and CMB data assuming simple extensions of the flat,
$\Lambda$CDM model (including curvature, dark energy with a constant equation
of state parameter not equal to -1, non-zero neutrino masses and a non-standard
number of neutrino families) and find no need for these extra parameters; in
particular, we constrain the effective number of neutrino species to be Neff <
4 at 95% confidence. We show that local measurements provide constraints on the
curvature and equation of state of dark energy nearly orthogonal to those of
the CMB. We argue that cosmology-independent measurements of local quantities
at the percent level would be very useful to explore cosmology in a
model-independent way.


title: A case of mu-synthesis as a quadratic semidefinite program

abstract:
  We analyse a special case of the robust stabilization problem under
structured uncertainty. We obtain a new criterion for the solvability of the
spectral Nevanlinna-Pick problem, which is a special case of the
$\mu$-synthesis problem of $H^\infty$ control in which $\mu$ is the spectral
radius. Given $n$ distinct points $\la_1,\dots,\la_n$ in the unit disc and
$2\times 2$ nonscalar complex matrices $W_1,\dots,W_n$, the problem is to
determine whether there is an analytic $2\times 2$ matrix function $F$ on the
disc such that $F(\la_j)=W_j$ for each $j$ and the supremum of the spectral
radius of $F(\la)$ is less than 1 for $\la$ in the disc. The condition is that
the minimum of a quadratic function of pairs of positive $3n$-square matrices
subject to certain linear matrix inequalities in the data be attained and be
zero.


title: Entanglement's Benefit Survives an Entanglement-Breaking Channel

abstract:
  Entanglement is essential to many quantum information applications, but it is
easily destroyed by quantum decoherence arising from interaction with the
environment. We report the first experimental demonstration of an
entanglement-based protocol that is resilient to loss and noise which destroy
entanglement. Specifically, despite channel noise 8.3 dB beyond the threshold
for entanglement breaking, eavesdropping-immune communication is achieved
between Alice and Bob when an entangled source is used, but no such immunity is
obtainable when their source is classical. The results prove that entanglement
can be utilized beneficially in lossy and noisy situations, i.e., in practical
scenarios.


title:
On the Brauer group of the product of a torus and a semisimple algebraic
  group

abstract:
  Let T be a torus (not assumed to be split) over a field F, and denote by
$_n{H^{2}_{et}(X,Gm)}$ the subgroup of elements of exponent dividing n in the
cohomological Brauer group of a scheme X over the field F. We provide
conditions on X and n for which the pull-back homomorphism
$_n{H^2_{et}(T,Gm)}\to_n{H^2_{et}(X\times T,Gm)}$ is an isomorphism. We apply
this to compute the Brauer group of some reductive groups and of non singular
affine quadrics. Apart from this, we investigate the p-torsion of the Azumaya
algebra defined Brauer group of a regular affine scheme over a field F of
characteristic p>0.


title: On the Nearby Binary Brown Dwarf WISE J104915.57-531906.1 (Luhman 16)

abstract:
  I report some observations and calculations related to the new nearby brown
dwarf at d = 2 pc discovered by Luhman (2013, ApJ Letters, in press;
arXiv:1303.2401). I report archival astrometry and photometry of the new object
from IRAS (epoch 1983.5; IRAS Z10473-5303), AKARI (epoch 2007.0; AKARI
J1049166-531907), and the Guide Star Catalog (epoch 1995.304; GSC2.2
S11132026703, GSC2.3 S4BM006703). A SuperCOSMOS scan of a plate taken with the
ESO Schmidt Telescope (epoch 1984.169) shows the source as elongated (PA = 138
deg). Membership of the binary to any of the known nearby young groups within
100 pc appears unlikely based on the available astrometry and photometry. Based
on the proper motion and parallax, a Monte Carlo simulation of thin disk/thick
disk/halo stars is suggestive that the binary is, unsurprisingly, most likely a
thin disk star (~96%), with a ~4% chance that it is a thick disk (and
negligible chance that it is a halo star). I suggest that this important new
nearby binary be called by either its provisional Washington Double Star
catalog identifier ("Luhman 16"), or perhaps "Luhman-WISE 1", either of which
is easier to remember than the WISE identifier.


title: Inverse-closed algebras of integral operators on locally compact groups

abstract:
  We construct some inverse-closed algebras of bounded integral operators with
operator-valued kernels, acting in spaces of vector-valued functions on locally
compact groups. To this end we make systematic use of covariance algebras
associated to $C^*$-dynamical systems defined by the abelian $C^*$-algebras of
right uniformly continuous functions with respect to the left regular
representation.


title:
Evolution of seismic velocities in heavy oil sand reservoirs during
  thermal recovery process

abstract:
  In thermally enhanced recovery processes like cyclic steam stimulation (CSS)
or steam assisted gravity drainage (SAGD), continuous steam injection entails
changes in pore fluid, pore pressure and temperature in the rock reservoir,
that are most often unconsolidated or weakly consolidated sandstones. This in
turn increases or decreases the effective stresses and changes the elastic
properties of the rocks. Thermally enhanced recovery processes give rise to
complex couplings. Numerical simulations have been carried out on a case study
so as to provide an estimation of the evolution of pressure, temperature, pore
fluid saturation, stress and strain in any zone located around the injector and
producer wells. The approach of Ciz and Shapiro (2007) - an extension of the
poroelastic theory of Biot-Gassmann applied to rock filled elastic material -
has been used to model the velocity dispersion in the oil sand mass under
different conditions of temperature and stress. A good agreement has been found
between these predictions and some laboratory velocity measurements carried out
on samples of Canadian oil sand. Results appear to be useful to better
interpret 4D seismic data in order to locate the steam chamber.


title:
On-sample water content measurement for a complete local monitoring in
  triaxial testing of unsaturated soils

abstract:
  To provide a complete local monitoring of the state of an unsaturated soil
sample during triaxial testing, a local water content measurement device was
adapted to a triaxial device comprising the measurement of local displacements
(Hall effect transducers) and suction (High capacity transducer). Water content
was locally monitored by means of a resistivity probe. The water
content/resistivity calibration curves of an intact natural unsaturated loess
from Northern France extracted by block sampling at two depths (1 and 3.3 m)
were carefully determined, showing good accuracy and repeatability. The
validity of two models giving the resistivity of unsaturated soils with respect
to their water content was examined.


title:
Critical Points of holomorphic sections of line bundles and a spherical
  Gauss-Lucas theorem

abstract:
  We study critical points of holomorphic sections of $\ocal(m)$ on $\CP^n$.
For quadrics, we give a complete discription of their critical points. When
$n=1$, we prove a spherical Gauss-Lucas theorem. For general situation, we
prove that a general section has all its critical points isolated and
non-degenerate.


title:
Pattern Recognition on Oriented Matroids: Critical Committees and
  Distance Signals

abstract:
  If V(R) is the vertex sequence of a symmetric cycle R in the tope graph of a
simple acyclic oriented matroid M on a t-element ground set, then the set min
V(R) of minimal elements in the subposet V(R) of the tope poset of M, based at
the positive tope, is a critical committee for M that votes for the base tope.
We consider the sequence zR of poset ranks of the elements from the vertex
sequence of R as a fragment of a signal with period 2t and relate the number of
members of the committee min V(R) to the magnitudes of [t/2] components, with
odd indices, of the discrete Fourier transform of the distance vector zR.


title:
Visible sector inflation and the right thermal history in light of
  Planck data

abstract:
  Inflation creates perturbations for the large scale structures in the
universe, but it also dilutes everything. Therefore it is pertinent that the
end of inflation must explain how to excite the Standard Model {\it dof} along
with the dark matter. In this paper we will briefly discuss the role of visible
sector inflaton candidates which are embedded within the Minimal Supersymmetric
Standard Model (MSSM) and discuss their merit on how well they match the
current data from the Planck. Since the inflaton carries the Standard Model
charges their decay naturally produces all the relevant {\it dof} with no {\it
dark/hidden sector radiation} and no isocurvature fluctuations. We will first
discuss a single supersymmetric flat direction model of inflation and
demonstrate what parameter space is allowed by the Planck and the LHC. We will
also consider where the perturbations are created by another light field which
decays after inflation, known as a {\it curvaton}. The late decay of the
curvaton can create observable non-Gaussianity. In the end we will discuss the
role of a {\it spectator} field whose origin may not lie within the visible
sector physics, but its sheer presence during inflation can still create all
the perturbations responsible for the large scale structures including possible
non-Gaussianity, while the inflaton is embedded within the visible sector which
creates all the relevant matter including dark matter, but no dark radiation.


title:
LaAlO3 stoichiometry found key to electron liquid formation at
  LaAlO3/SrTiO3 interfaces

abstract:
  Emergent phenomena, including superconductivity and magnetism, found in the
two-dimensional electron liquid (2-DEL) at the interface between the insulators
LaAlO3 and SrTiO3 distinguish this rich system from conventional
two-dimensional electron gases at compound semiconductor interfaces. The origin
of this 2-DEL, however, is highly debated with focus on the role of defects in
the SrTiO3 while the LaAlO3 has been assumed perfect. Our experiments and first
principles calculations show that the cation stoichiometry of the nominal
LaAlO3 layer is key to 2-DEL formation: only Al-rich LaAlO3 results in a 2-DEL.
While extrinsic defects including oxygen deficiency are known to render
LaAlO3/SrTiO3 samples conducting, our results show that in the absence of such
extrinsic defects, an interface 2-DEL can form. Its origin is consistent with
an intrinsic electronic reconstruction occurring to counteract a polarization
catastrophe. This work provides a roadmap for identifying other interfaces
where emergent behaviors await discovery.


title: On refractive processes in strong laser field quantum electrodynamics

abstract:
  Refractive processes in strong-field QED are pure quantum processes, which
involve only external photons and the background electromagnetic field. We show
analytically that such processes occurring in a plane-wave field and involving
external real photons are all characterized by a surprisingly modest net
exchange of energy and momentum with the laser field, corresponding to a few
laser photons, even in the limit of ultra-relativistic laser intensities. We
obtain this result by a direct calculation of the transition matrix element of
an arbitrary refractive QED process and accounting exactly for the background
plane-wave field. A simple physical explanation of this modest net exchange of
laser photons is provided, based on the fact that the laser field couples with
the external photons only indirectly through virtual electron-positron pairs.
For stronger and stronger laser fields, the pairs cover a shorter and shorter
distance before they annihilate again, such that the laser can transfer to them
an energy corresponding to only a few photons. These results can be relevant
for future experiments aiming to test strong-field QED at present and
next-generation facilities.


title: On the Detectability of 57Fe Axion-Photon Mode Conversion in the Sun

abstract:
  The purpose of this paper is to assess the feasibility of axion detection by
X-ray spectroscopy of the sun. We review the theory of axion-photon mode
conversion with special attention to axions emitted in the 14.4 keV M1 decay of
57Fe at the solar center. These then mode convert to photons in the outer
layers of the solar envelope, and may in principle be detected subsequently as
X-rays. For axion masses above about 10^-4 eV, resonant mode conversion at a
layer where the axion mass matches the local electron plasma frequency is
necessary. For axion masses above about 10^-2 eV, this mode conversion occurs
too deep in the solar atmosphere for the resulting photon to escape the solar
surface and be detected before Compton scattering obscures the line. At the
(detectable) axion masses below this, the flux of mode converted photons
predicted by axion models appears to be too low for detection to be feasible
with current instrumentation. Nonresonant mode conversion for axion masses
below 10^-4 eV is also plausible, but with still lower predicted fluxes, since
the axion coupling constant is related to it mass. Prospects for meaningful
constraints on massive axion parameters from X-ray observations of this
transition from the Sun do not appear to be promising. However parameters for
massless counterparts (e.g. the "arion") may still result from such
observations. It may mode convert in the outer layers of the solar atmosphere,
but is not restricted by this to have a small coupling constant.


title: Compact Gaussian quantum computation by multi-pixel homodyne detection

abstract:
  We study the possibility of producing and detecting continuous variable
cluster states in an optical set-up in an extremely compact fashion. This
method is based on a multi-pixel homodyne detection system recently
demonstrated experimentally, which includes classical data post-processing. It
allows to incorporate the linear optics network, usually employed in standard
experiments for the production of cluster states, in the stage of the
measurement. After giving an example of cluster state generation by this
method, we further study how this procedure can be generalized to perform
gaussian quantum computation.


title: Ice Dome Construction for Large Scale Habitats on Atmosphereless Bodies

abstract:
  One of the greatest difficulties that space exploration faces is the lack of
technology necessary to establish large volumes of habitable spaces on site.
Both transporting the pre-built enclosures or transporting the equipment
necessary for building them on site from conventional materials face the same
enormous problem: the need to transport huge quantities of material into space,
which is technically close to impossible. The current paper, explores the
possibility and one approach of building these large spaces from an alternative
material, water ice, a material that is a prerequisite for any settlement. The
feasibility of dome shaped, pressurized, water ice buildings is analyzed from a
structural integrity point of view and the possibility of building them with a
technique using water sublimation and deposition onto a thin plastic film, a
process which requires extremely little construction equipment with respect to
the resulting habitable space.


title: Global solutions for the gravity water waves system in 2d

abstract:
  We consider the gravity water waves system in the case of a one dimensional
interface, for sufficiently smooth and localized initial data, and prove global
existence of small solutions. This improves the almost global existence result
of Wu \cite{WuAG}. We also prove that the asymptotic behavior of solutions as
time goes to infinity is different from linear, unlike the three dimensional
case \cite{GMS2,Wu3DWW}. In particular, we identify a suitable nonlinear
logarithmic correction and show modified scattering. The solutions we construct
in this paper appear to be the first global smooth nontrivial solutions of the
gravity water waves system in 2d.


title: Spectra and eigenvectors of the Segre transformation

abstract:
  Given two sequences $\fa=(a_n)_{n\geq 0}$ and $\fb=(b_n)_{n\geq 0}$ of
complex numbers such that their generating series are of the form $\sum_{n\geq
0}a_n t^n=\frac{\fh(\fa)(t)}{(1-t)^{d_{\fa}}}$ and $\sum_{n\geq 0}b_n
t^n=\frac{\fh(\fb)(t)}{(1-t)^{d_{\fb}}}$, where $\fh(\fa)(t)$ and $\fh(\fb)(t)$
are polynomials, we consider their Segre product $\fa\ast\fb=(a_nb_n)_{n\geq
0}$. We are interested in the bilinear transformations that compute the
coefficient sequence of $\fh(\fa\ast\fb)(t)$ from those of $\fh(\fa)(t)$ and
$\fh(\fb)(t)$, where $\sum_{n\geq 0}a_nb_n
t^n=\frac{\fh(\fa\ast\fb)(t)}{(1-t)^{d_{\fa}+d_{\fb}-1}}$. The motivation to
study this problem comes from commutative algebra as the Hilbert series of the
Segre product of two standard graded algebras equals the Segre product of the
two individual Hilbert series. We provide an explicit description of these
transformations and compute their spectra. In particular, we show that the
transformation matrices are diagonalizable with integral eigenvalues. We also
provide explicit formulae for the eigenvectors of the transformation matrices.
Finally, we present a conjecture concerning the real-rootedness of
$\fh(\fa^{\ast r})(t)$ if $r$ is large enough, where $\fa^{\ast
r}=\fa\ast\cdots\ast \fa$ is the $r$\textsuperscript{th} Segre product of the
sequence $\fa$ and the coefficients of $\fh(\fa)(t)$ are assumed to be
non-negative.


title:
Persistence of magnetic excitations in La2-xSrxCuO4 from the undoped
  insulator to the heavily overdoped non-superconducting metal

abstract:
  One of the most intensely studied scenarios of high-temperature
superconductivity (HTS) postulates pairing by exchange of magnetic excitations
[1]. Indeed, such excitations have been observed up to around optimal doping in
the cuprates [2-7]. In the heavily overdoped regime neutron scattering
measurements indicate that magnetic excitations have effectively disappeared
[8-10], and this was argued to cause the demise of HTS with overdoping [1, 8,
10]. Here we use resonant inelastic x-ray scattering (RIXS), which is sensitive
to complementary parts of reciprocal space, to measure the evolution of the
magnetic excitations in La2-xSrxCuO4 across the entire phase diagram, from a
strongly correlated insulator (x = 0) to a non-superconducting metal (x =
0.40). For x = 0, well-defined magnon excitations are observed [11]. These
magnons broaden with doping, but they persist with a similar dispersion and
comparable intensity all the way to the non-superconducting, heavily overdoped
metallic phase. The destruction of HTS with overdoping is therefore caused
neither by the general disappearance nor by the overall softening of magnetic
excitations; other factor(s), such as the redistribution of spectral weight,
must be considered.


title:
Commutative law for products of infinitely large isotropic random
  matrices

abstract:
  Ensembles of isotropic random matrices are defined by the invariance of the
probability measure under the left (and right) multiplication by an arbitrary
unitary matrix. We show that the multiplication of large isotropic random
matrices is spectrally commutative and self-averaging in the limit of infinite
matrix size $N \rightarrow \infty$. The notion of spectral commutativity means
that the eigenvalue density of a product ABC... of such matrices is independent
of the order of matrix multiplication, for example the matrix ABCD has the same
eigenvalue density as ADCB. In turn, the notion of self-averaging means that
the product of n independent but identically distributed random matrices, which
we symbolically denote by AAA..., has the same eigenvalue density as the
corresponding power A^n of a single matrix drawn from the underlying matrix
ensemble. For example, the eigenvalue density of ABCCABC is the same as of
A^2B^2C^3. We also discuss the singular behavior of the eigenvalue and singular
value densities of isotropic matrices and their products for small eigenvalues
$\lambda \rightarrow 0$. We show that the singularities at the origin of the
eigenvalue density and of the singular value density are in one-to-one
correspondence in the limit $N \rightarrow \infty$: the eigenvalue density of
an isotropic random matrix has a power law singularity at the origin $\sim
|\lambda|^{-s}$ with a power $s \in (0,2)$ when and only when the density of
its singular values has a power law singularity $\sim \lambda^{-\sigma}$ with a
power $\sigma = s/(4-s)$. These results are obtained analytically in the limit
$N \rightarrow \infty$. We supplement these results with numerical simulations
for large but finite N and discuss finite size effects for the most common
ensembles of isotropic random matrices.


title:
The Planetary Nebula Spectrograph survey of S0 galaxy kinematics. Data
  and Overview

abstract:
  The origins of S0 galaxies remain obscure, with various mechanisms proposed
for their formation, likely depending on environment. These mechanisms would
imprint different signatures in the galaxies' stellar kinematics out to large
radii, offering a method for distinguishing between them. We aim to study a
sample of six S0 galaxies from a range of environments, and use planetary
nebulae (PNe) as tracers of their stellar populations out to very large radii,
to determine their kinematics in order to understand their origins. Using a
special-purpose instrument, the Planetary Nebula Spectrograph, we observe and
extract PNe catalogues for these six systems*. We show that the PNe have the
same spatial distribution as the starlight, that the numbers of them are
consistent with what would be expected in a comparable old stellar population
in elliptical galaxies, and that their kinematics join smoothly onto those
derived at smaller radii from conventional spectroscopy. The high-quality
kinematic observations presented here form an excellent set for studying the
detailed kinematics of S0 galaxies, in order to unravel their formation
histories. We find that PNe are good tracers of stellar kinematics in these
systems. We show that the recovered kinematics are largely dominated by
rotational motion, although with significant random velocities in most cases.


title: Spike patterns in a reaction-diffusion-ode model with Turing instability

abstract:
  We explore a mechanism of pattern formation arising in processes described by
a system of a single reaction-diffusion equation coupled with ordinary
differential equations. Such systems of equations arise from the modeling of
interactions between cellular processes and diffusing growth factors. We
focused on the model of early carcinogenesis proposed by Marciniak-Czochra and
Kimmel, which is an example of a wider class of pattern formation models with
an autocatalytic non-diffusing component. We present a numerical study showing
emergence of periodic and irregular spike patterns due to diffusion-driven
instability. To control the accuracy of simulations, we develop a numerical
code based on the finite element method and adaptive mesh. Simulations,
supplemented by numerical analysis, indicate a novel pattern formation
phenomenon based on the emergence of nonstationary structures tending
asymptotically to the sum of Dirac deltas.


title: Lectures on integrable Hamiltonian systems

abstract:
  We consider integrable Hamiltonian systems in a general setting of invariant
submanifolds which need not be compact. For instance, this is the case a global
Kepler system, non-autonomous integrable Hamiltonian systems and integrable
systems with time-dependent parameters.


title: Z-SEP: Zonal-Stable Election Protocol for Wireless Sensor Networks

abstract:
  Wireless Sensor Networks (WSNs) are comprised of thousands of sensor nodes,
with restricted energy, that co-operate to accomplish a sensing task. Various
routing Protocols are designed for transmission in WSNs. In this paper, we
proposed a hybrid routing protocol: Zonal-Stable Election Protocol (Z-SEP) for
heterogeneous WSNs. In this protocol, some nodes transmit data directly to base
station while some use clustering technique to send data to base station as in
SEP. We implemented Z-SEP and compared it with traditional Low Energy adaptive
clustering hierarchy (LEACH) and SEP. Simulation results showed that Z-SEP
enhanced the stability period and throughput than existing protocols like LEACH
and SEP.


title: Improving Network Efficiency by Removing Energy Holes in WSNs

abstract:
  Cluster based Wireless Sensor Networks (WSNs) have been widely used for
better performance in terms of energy efficiency. Efficient use of energy is
challenging task of designing these protocols. Energy holedare created due to
quickly drain the energy of a few nodes due to non-uniform distribution in the
network. Normally, energy holes make the data routing failure when nodes
transmit data back to the base station. We proposedEnergy-efficient
HOleRemoving Mechanism (E-HORM) technique to remove energy holes. In this
technique, we use sleep and awake mechanism for sensor nodes to save energy.
This approach finds the maximum distance node to calculate the maximum energy
for data transmission. We considered it as a threshold energy Eth. Every node
first checks its energy level for data transmission. If the energy level is
less than Eth, it cannot transmit data. We also explain mathematically the
energy consumption and average energy saving of sensor nodes in each round.
Extensive simulations showed that when use this approach for WSNs significantly
helps to extend the network lifetime and stability period.


title: Gr\"obner-Shirshov bases and their calculation

abstract:
  In this survey, we formulate the Gr\"{o}bner-Shirshov bases theory for
associative algebras and Lie algebras. Some new Composition-Diamond lemmas and
applications are mentioned.


title:
Taming the zoo - about algorithms implementation in the ecosystem of
  Apache Hadoop

abstract:
  Content Analysis System (CoAnSys) is a research framework for mining
scientific publications using Apache Hadoop. This article describes the
algorithms currently implemented in CoAnSys including classification,
categorization and citation matching of scientific publications. The size of
the input data classifies these algorithms in the range of big data problems,
which can be efficiently solved on Hadoop clusters.


title: The strongest bounds on active-sterile neutrino mixing after Planck data

abstract:
  Light sterile neutrinos can be excited by oscillations with active neutrinos
in the early universe. Their properties can be constrained by their
contribution as extra-radiation, parameterized in terms of the effective number
of neutrino species N_ eff, and to the universe energy density today \Omega_\nu
h^2. Both these parameters have been measured to quite a good precision by the
Planck satellite experiment. We use this result to update the bounds on the
parameter space of (3+1) sterile neutrino scenarios, with an active-sterile
neutrino mass squared splitting in the range (10^{-5} - 10^2 ) eV^2. We
consider both normal and inverted mass orderings for the active and sterile
states. For the first time we take into account the possibility of two
non-vanishing active-sterile mixing angles. We find that the bounds are more
stringent than those obtained in laboratory experiments. This leads to a strong
tension with the short-baseline hints of light sterile neutrinos. In order to
relieve this disagreement, modifications of the standard cosmological scenario,
e.g. large primordial neutrino asymmetries, are required.


title: Conic and Quadric surfaces

abstract:
  There are two problems Analytical Geometry with facing anyone who studies
this discipline: define the nature of the locus represented by the general
equation 2do degree in two or three variables: That curve represents the plane?
What surface is in space? These two problems are posed and solved by applying
the study of matrices and spectral theory


title: XMM-Newton Observation of the {\alpha} Persei Cluster

abstract:
  We report on the analysis of an archival observation of part of the {\alpha}
Persei cluster obtained with XMM-Newton. We detected 102 X-ray sources in the
band 0.3-8.0 keV, of which 39 of them are associated with the cluster as
evidenced by appropriate magnitudes and colors from 2MASS photometry. We extend
the X-ray Luminosity Distribution (XLD) for M dwarfs, to add to the XLD found
for hotter dwarfs from spatially extensive surveys of the whole cluster by
ROSAT. Some of the hotter stars are identified as a background, possible
slightly older group of stars at a distance of approximately 500 pc.


title: Directional dependence of LCDM cosmological parameters

abstract:
  We study hemispherical power asymmetry (Eriksen et. al. 2004, Hansen et. al.
2004, Hansen et. al. 2009) in the WMAP 9-year data. We analyse the combined V-
and W-band sky maps, after application of the KQ85 mask, and find that the
asymmetry is statistically significant at the 3.4sigma confidence level for
ell=2-600, where the data is signal dominated, with a preferred asymmetry
direction (l,b)=(227,-27). Individual asymmetry axes estimated from six
independent multipole ranges are all consistent with this direction.
Subsequently, we estimate cosmological parameters on different parts of the sky
and show that the parameters A_s, n_s and Omega_b are the most sensitive to
this power asymmetry. In particular, for the two opposite hemispheres aligned
with the preferred asymmetry axis, we find n_s = 0.959 \pm 0.022 and n_s =
0.989 \pm 0.024, respectively.


title:
Fractional and integer quantum Hall effects in the zeroth Landau level
  in graphene

abstract:
  Experiments on the fractional quantized Hall effect in the zeroth Landau
level of graphene have revealed some striking differences between filling
factors in the ranges 0<|\nu|<1 and 1<|\nu|<2. We argue that these differences
can be largely understood as a consequence of the effects of terms in the
Hamiltonian which break SU(2) valley symmetry, which we find to be important
for |\nu|<1 but negligible for |\nu| >1. The effective absence of valley
anisotropy for |\nu|>1 means that states with odd numerator, e.g. |\nu|=5/3 or
7/5 can accommodate charged excitations in the form of large valley skyrmions,
which have a low energy cost, and may be easily induced by coupling to
impurities. The absence of observed quantum Hall states at these fractions is
likely due to the effects of valley skyrmions. For |\nu|<1, the anisotropy
terms favor phases in which electrons occupy states with opposite spins,
similar to the antiferromagnetic state previously hypothesized to be the ground
state at \nu=0. The anisotropy and Zeeman energies suppress large-area
skyrmions, so that quantized Hall states can be observable at a set of
fractions similar to those in GaAs two-dimensional electron systems. In a
perpendicular magnetic field B, the competition between the Coulomb energy,
which varies as B^{1/2}, and the Zeeman energy, which varies as B, can explain
the observation of apparent phase transitions as a function of B for fixed \nu,
as transitions between states with different degrees of spin polarization. In
addition to an analysis of various fractional states, and an examination of the
effects of disorder on valley skyrmions, we present new experimental data for
the energy gaps at integer fillings \nu=0 and \nu= -1, as a function of
magnetic field, and we examine the possibility that valley-skyrmions may
account for the smaller energy gaps observed at \nu= -1.


title: Zero-generic initial ideals

abstract:
  Given a homogeneous ideal I of a polynomial ring A=K[X_1,...,X_n] and a
monomial order, we construct a new monomial ideal of A associated with I. We
call it the zero-generic initial ideal of I with respect to the order and
denote it with gin_0(I), or with Gin_0(I) whenever the order is the
reverse-lexicographic order. When the characteristic of K is zero, a
zero-generic initial ideal is the usual generic initial ideal. We show that
Gin_0(I) is endowed with many interesting properties, some of which are easily
seen, e.g., it is a strongly stable monomial ideal in any characteristic, and
has the same Hilbert series as I; some other properties are less obvious: it
shares with I the same Castelnuovo-Mumford regularity, projective dimension and
extremal Betti numbers. Quite surprisingly, gin_0(I) also satisfies Green's
Crystallization Principle, which is known to fail in positive characteristic.
Thus, zero-generic initial ideals can be used as formal analogues of generic
initial ideals computed in characteristic 0. We also prove the analogue for
local cohomology of Pardue's Conjecture for Betti numbers: we show that the
Hilbert functions of local cohomology modules of a quotient ring of a
polynomial ring modulo a weakly stable ideal are independent of the
characteristic of the coefficients field.


title:
Implications of Planck results for models with local type
  non-Gaussianity

abstract:
  We discuss implications of Planck results for models with local type
non-Gaussianity. In light of the recent results of the Planck satellite, we
constrain model parameters of several representative models and give the
prediction of trispectrum, in particular, gNL. We also consider interesting
possibilities that trispectrum appears as the first signature of the
non-Gaussianities of the curvature perturbations, that is, fNL is small while
gNL can be significantly large.


title:
Construction of the discrete hull for the combinatorics of a regular
  pentagonal tiling of the plane

abstract:
  The article 'A "regular" pentagonal tiling of the plane' by P. L. Bowers and
K. Stephenson defines a conformal pentagonal tiling. This is a tiling of the
plane with remarkable combinatorial and geometric properties. However, it
doesn't have finite local complexity in any usual sense, and therefore we
cannot study it with the usual tiling theory. The appeal of the tiling is that
all the tiles are conformally regular pentagons. But conformal maps are not
allowable under finite local complexity. On the other hand, the tiling can be
described completely by its combinatorial data, which rather automatically has
finite local complexity. In this paper we give a construction of the discrete
hull just from the combinatorial data. The main result of this paper is that
the discrete hull is a Cantor space.


title: Scalar field Hadamard renormalisation in $AdS_{n}$

abstract:
  We outline an analytic method for computing the renormalised vacuum
expectation value of the quadratic fluctuations and stress-energy tensor
associated with a quantised scalar field propagating on $AdS_{n}$. Explicit
results have been obtained using Hadamard renormalisation in the case of a
massive neutral scalar field with arbitrary coupling to the curvature, for
$n=2$ to $n=11$ inclusive.


title:
Anisotropic charge screening and supercell size convergence of defect
  formation energies

abstract:
  One of the main sources of error associated with the calculation of defect
formation energies using plane-wave Density Functional Theory (DFT) is finite
size error resulting from the use of relatively small simulation cells and
periodic boundary conditions. Most widely-used methods for correcting this
error, such as that of Makov and Payne, assume that the dielectric response of
the material is isotropic and can be described using a scalar dielectric
constant $\epsilon$. However, this is strictly only valid for cubic crystals,
and cannot work in highly-anisotropic cases. Here we introduce a variation of
the technique of extrapolation based on the Madelung potential, that allows the
calculation of well converged dilute limit defect formation energies in
non-cubic systems with highly anisotropic dielectric properties. As an example
of the implementation of this technique we study a selection of defects in the
ceramic oxide Li$_2$TiO$_3$ which is currently being considered as a lithium
battery material and a breeder material for fusion reactors.


title: Hydrogen nanobubbles in a water solution of dietary supplement

abstract:
  Using gas chromatography, proton nuclear magnetic resonance and qualitative
experiments, we demonstrate that a water solution of dissolved dietary
supplement, creating negative redox potential, contains invisible hydrogen
nano-bubbles, which remain in the solution for several hours.


title: New Light Species and the CMB

abstract:
  We consider the effects of new light species on the Cosmic Microwave
Background. In the massless limit, these effects can be parameterized in terms
of a single number, the relativistic degrees of freedom. We perform a thorough
survey of natural, minimal models containing new light species and numerically
calculate the precise contribution of each of these models to this number in
the framework of effective field theory. After reviewing the relevant details
of early universe thermodynamics, we provide a map between the parameters of
any particular theory and the predicted effective number of degrees of freedom.
We then use this map to interpret the recent results from the Cosmic Microwave
Background survey done by the Planck satellite. Using this data, we present new
constraints on the parameter space of several models containing new light
species. Future measurements of the Cosmic Microwave Background can be used
with this map to further constrain the parameter space of all such models.


title:
Rapid cooling of the compact star in Cassiopea A as a phase transition
  in dense QCD

abstract:
  We present a model of the compact star in Cassiopea A that accounts for its
unusually fast cooling behavior. This feature is interpreted as an enhancement
in the neutrino emission triggered by a transition from a fully gapped,
two-flavor, color-superconducting phase to a crystalline phase or an
alternative gapless, color-superconducting phase. By fine-tuning a single
parameter -- the temperature of this transition -- a specific cooling scenario
can be selected that fits the Cas A data. Such a scenario requires a massive
$M\sim 2M_{\odot}$ star and is, therefore, distinctive from models invoking
canonical 1.4 $M_{\odot}$ mass star with nucleonic pairing alone.


title: Kernel-based Methods for Stochastic Partial Differential Equations

abstract:
  This article gives a new insight of kernel-based (approximation) methods to
solve the high-dimensional stochastic partial differential equations. We will
combine the techniques of meshfree approximation and kriging interpolation to
extend the kernel-based methods for the deterministic data to the stochastic
data. The main idea is to endow the Sobolev spaces with the probability
measures induced by the positive definite kernels such that the Gaussian random
variables can be well-defined on the Sobolev spaces. The constructions of these
Gaussian random variables provide the kernel-based approximate solutions of the
stochastic models. In the numerical examples of the stochastic Poisson and heat
equations, we show that the approximate probability distributions are
well-posed for various kinds of kernels such as the compactly supported kernels
(Wendland functions) and the Sobolev-spline kernels (Mat\'ern functions).


title: Degree and algebraic properties of lattice and matrix ideals

abstract:
  We study the degree of non-homogeneous lattice ideals over arbitrary fields,
and give formulae to compute the degree in terms of the torsion of certain
factor groups of Z^s and in terms of relative volumes of lattice polytopes. We
also study primary decompositions of lattice ideals over an arbitrary field
using the Eisenbud-Sturmfels theory of binomial ideals over algebraically
closed fields. We then use these results to study certain families of integer
matrices (PCB, GPCB, CB, GCB matrices) and the algebra of their corresponding
matrix ideals. In particular, the family of generalized positive critical
binomial matrices (GPCB matrices) is shown to be closed under transposition,
and previous results for PCB ideals are extended to GPCB ideals. Then, more
particularly, we give some applications to the theory of 1-dimensional binomial
ideals. If G is a connected graph, we show as a further application that the
order of its sandpile group is the degree of the Laplacian ideal and the degree
of the toppling ideal. We also use our earlier results to give a structure
theorem for graded lattice ideals of dimension 1 in 3 variables and for
homogeneous lattices in Z^3 in terms of critical binomial ideals (CB ideals)
and critical binomial matrices, respectively, thus complementing a well-known
theorem of Herzog on the toric ideal of a monomial space curve.


title:
Large deviation principles for words drawn from correlated letter
  sequences

abstract:
  When an i.i.d.\ sequence of letters is cut into words according to i.i.d.\
renewal times, an i.i.d.\ sequence of words is obtained. In the \emph{annealed}
LDP (large deviation principle) for the empirical process of words, the rate
function is the specific relative entropy of the observed law of words w.r.t.\
the reference law of words. In Birkner, Greven and den Hollander \cite{BGdH10}
the \emph{quenched} LDP (= conditional on a typical letter sequence) was
derived for the case where the renewal times have an \emph{algebraic} tail. The
rate function turned out to be a sum of two terms, one being the annealed rate
function, the other being proportional to the specific relative entropy of the
observed law of letters w.r.t.\ the reference law of letters, obtained by
concatenating the words and randomising the location of the origin. The
proportionality constant equals the tail exponent of the renewal process.
  The purpose of the present paper is to extend both LDP's to letter sequences
that are not i.i.d. It is shown that both LDP's carry over when the letter
sequence satisfies a mixing condition called \emph{summable variation}. The
rate functions are again given by specific relative entropies w.r.t.\ the
reference law of words, respectively, letters. But since neither of these
reference laws is i.i.d., several approximation arguments are needed to obtain
the extension.


title: On $l^p$ -multipliers of functions analytic in the disk

abstract:
  We consider bounded analytic functions in domains generated by sets that have
Littlewood--Paley property. We show that each such function is an $l^p$
-multiplier.


title:
On the Klainerman-Machedon Conjecture of the Quantum BBGKY Hierarchy
  with Self-interaction

abstract:
  We consider the 3D quantum BBGKY hierarchy which corresponds to the
$N$-particle Schr\"{o}dinger equation. We assume the pair interaction is
$N^{3\beta -1}V(N^{\beta}\bullet).$ For interaction parameter $\beta
\in(0,\frac23)$, we prove that, as $N\rightarrow \infty ,$ the limit points of
the solutions to the BBGKY hierarchy satisfy the space-time bound conjectured
by Klainerman-Machedon in 2008. This allows for the application of the
Klainerman-Machedon uniqueness theorem, and hence implies that the limit is
uniquely determined as a tensor product of solutions to the Gross-Pitaevski
equation when the $N$-body initial data is factorized. The first result in this
direction in 3D was obtained by T. Chen and N. Pavlovi\'{c} (2011) for $\beta
\in (0,\frac14)$ and subsequently by X. Chen (2012) for $\beta\in (0,\frac27]$.
We build upon the approach of X. Chen but apply frequency localized
Klainerman-Machedon collapsing estimates and the endpoint Strichartz estimate
in the estimate of the potential part to extend the range to $\beta\in
(0,\frac23)$. Overall, this provides an alternative approach to the mean-field
program by Erd\"os-Schlein-Yau (2007), whose uniqueness proof is based upon
Feynman diagram combinatorics.