title: A twistor string for the ABJ(M) theory

abstract:
  We construct an open string theory whose single-trace part of the tree-level
S-matrix reproduces the S-matrix of the ABJ(M) theory with a unitary gauge
group. We also demonstrate that the multi-trace part of the string theory
tree-level S-matrix {which has no counterpart in the pure N = 6
super-Chern-Simons theory {is due to conformal supergravity interactions and
identify certain Lagrangian interaction terms. Our construction suggests that
there exists a higher dimensional theory which can be dimensionally-reduced, in
a certain sense, to the ABJ(M) theory. It also suggests a generalization of
this theory to product gauge groups with more than two factors.


title:
Restriction Bounds for the Free Resolvent and Resonances in Lossy
  Scattering

abstract:
  We establish high energy $L^2$ estimates for the restriction of the free
Green's function to hypersurfaces in $\mathbb{R}^d$. As an application, we
estimate the size of a logarithmic resonance free region for scattering by
potentials of the form $V\otimes \delta_{\Gamma}$, where $\Gamma \subset
\mathbb{R}^d$ is a finite union of compact subsets of embedded hypersurfaces.
In odd dimensions we prove a resonance expansion for solutions to the wave
equation with such a potential.


title:
On measuring team stability in cooperative learning: An example of
  consecutive course projects on software engineering

abstract:
  Cooperative learning theory has shown that stable membership is a hallmark of
effective work teams. According to relation strength and social network
centrality, this paper proposes an approach to measure team stability reasons
in consecutive cooperative learning. Taking consecutive course projects of
software engineering in a university as examples, we examine the relation
between team stability and learning performance in consecutive cooperative
learning from two parts: learning score and learning satisfaction. Through
empirical analysis, it arrives at the conclusion that learning score is in weak
positive correlation with team stability. Through questionnaire and interviews,
it finds out 78% of the students did not value the importance of team
stability, and 67% of the teachers never recommend the students to keep stable
teams. Finally, we put forward an expected correlation model of learning
performance as future work and discuss instability as well.


title:
Astrometric observations of X-ray binaries using very long baseline
  interferometry

abstract:
  I review the astrophysical insights arising from high-precision astrometric
observations of X-ray binary systems, focussing primarily (but not exclusively)
on recent results with very long baseline interferometry. Accurate,
model-independent distances from geometric parallax measurements can help
determine physical parameters of the host binary system and constrain black
hole spins via broadband X-ray spectral modelling. Long-term proper motion
studies, combined with binary evolution calculations, can provide observational
constraints on the formation mechanism of black holes. Finally, the astrometric
residuals from parallax and proper motion fits can provide information on
orbital sizes and jet physics. I end by discussing prospects for future
progress in this field.


title: Relaxation after a change in the interface growth dynamics

abstract:
  The global effects of sudden changes in the interface growth dynamics are
studied using models of the Edwards-Wilkinson (EW) and Kardar-Parisi-Zhang
(KPZ) classes during their growth regimes in dimensions $d=1$ and $d=2$.
Scaling arguments and simulation results are combined to predict the relaxation
of the difference in the roughness of the perturbed and the unperturbed
interfaces, $\Delta W^2 \sim s^c t^{-\gamma}$, where $s$ is the time of the
change and $t>s$ is the observation time after that event. The previous
analytical solution for the EW-EW changes is reviewed and numerically discussed
in the context of lattice models, with possible decays with $\gamma=3/2$ and
$\gamma=1/2$. Assuming the dominant contribution to $\Delta W^2$ to be
predicted from a time shift in the final growth dynamics, the scaling of
KPZ-KPZ changes with $\gamma = 1-2\beta$ and $c=2\beta$ is predicted, where
$\beta$ is the growth exponent. Good agreement with simulation results in $d=1$
and $d=2$ is observed. A relation with the relaxation of a local autoresponse
function in $d=1$ cannot be discarded, but very different exponents are shown
in $d=2$. We also consider changes between different dynamics, with the KPZ-EW
as a special case in which a faster growth, with dynamical exponent $z_i$,
changes to a slower one, with exponent $z$. A scaling approach predicts a
crossover time $t_c\sim s^{z/z_i}\gg s$ and $\Delta W^2 \sim s^c F\left(
t/t_c\right)$, with the decay exponent $\gamma=1/2$ of the EW class. This rules
out the simplified time shift hypothesis in $d=2$ dimensions. These results
help to understand the remarkable differences in EW smoothing of correlated and
uncorrelated surfaces, and the approach may be extended to sudden changes
between other growth dynamics.


title:
Completeness results for quasi-categories of algebras, homotopy limits,
  and related general constructions

abstract:
  Consider a diagram of quasi-categories that admit and functors that preserve
limits or colimits of a fixed shape. We show that any weighted limit whose
weight is a projective cofibrant simplicial functor is again a quasi-category
admitting these (co)limits and that they are preserved by the functors in the
limit cone. In particular, the Bousfield-Kan homotopy limit of a diagram of
quasi-categories admit any limits or colimits existing in and preserved by the
functors in that diagram. In previous work, we demonstrated that the
quasi-category of algebras for a homotopy coherent monad could be described as
a weighted limit with projective cofibrant weight, so these results immediately
provide us with important (co)completeness results for quasi-categories of
algebras. These generalise most of the classical categorical results, except
for a well known theorem which shows that limits lift to the category of
algebras for any monad, regardless of whether its functor part preserves those
limits. The second half of this paper establishes this more general result in
the quasi-categorical setting: showing that the monadic forgetful functor of
the quasi-category of algebras for a homotopy coherent monad creates all limits
that exist in the base quasi-category, without further assumption on the monad.
This proof relies upon a more delicate and explicit analysis of the particular
weight used to define quasi-categories of algebras.


title: Exact analytical solutions of second-order conformal hydrodynamics

abstract:
  We present some exact solutions of relativistic second-order hydrodynamic
equations in theories with conformal symmetry. Starting from a spherically
expanding solution in ideal hydrodynamics, we take into account general
conformal second-order corrections, and construct, for the first time, fully
analytical axisymmetric exact solutions including the case with nonzero
vorticity. These solutions are time-reversible despite having a nonvanishing
shear stress tensor and provide a useful quantitative measure of the
second-order effects in relativistic hydrodynamics.


title: (Un)decidable Problems about Reachability of Quantum Systems

abstract:
  We study the reachability problem of a quantum system modelled by a quantum
automaton. The reachable sets are chosen to be boolean combinations of (closed)
subspaces of the state space of the quantum system. Four different reachability
properties are considered: eventually reachable, globally reachable, ultimately
forever reachable, and infinitely often reachable. The main result of this
paper is that all of the four reachability properties are undecidable in
general; however, the last three become decidable if the reachable sets are
boolean combinations without negation.


title:
Slow decay of cosmic magnetic fields superadiabatically in
  curvature-torsion scales

abstract:
  Recently Barrow, and Tsagas [Phys Rev D 77: 107302, (2008)] have shown that
slow decay of cosmological magnetic slowly decay in FRW universes on curvature
scales as $B\sim{a^{-1}}$ in the context of general relativity (GR). This helps
possible amplification of cosmic magnetic fields. In this paper starting from
dynamo equations in spacetimes with torsion we obtain also slow decay of
magnetic fields naturally on curvature-torsion scales of Riemann-Cartan
spacetime on a de Sitter universe. In this case the constant of proportionality
between the magnetic field and the curvature scale is the torsion in the
present universe. Thus the B-field becomes $B\sim{\frac{{\eta}}{H_{0}}Ta^{-1}}$
where T is torsion vector modulus, $H_{0}$ is the Hubble constant and $\eta$ is
the diffusive scale.


title:
Comparing Simulated Emission from Molecular Clouds Using Experimental
  Design

abstract:
  We propose a new approach to comparing simulated observations that enables us
to determine the significance of the underlying physical effects. We utilize
the methodology of experimental design, a subfield of statistical analysis, to
establish a framework for comparing simulated position-position-velocity data
cubes to each other. We propose three similarity metrics based on methods
described in the literature: principal component analysis, the spectral
correlation function, and the Cramer multi-variate two sample similarity
statistic. Using these metrics, we intercompare a suite of mock observational
data of molecular clouds generated from magnetohydrodynamic simulations with
varying physical conditions. Using this framework, we show that all three
metrics are sensitive to changing Mach number and temperature in the simulation
sets, but cannot detect changes in magnetic field strength and initial velocity
spectrum. We highlight the shortcomings of one-factor-at-a-time designs
commonly used in astrophysics and propose fractional factorial designs as a
means to rigorously examine the effects of changing physical properties while
minimizing the investment of computational resources.


title:
Note on the residue codes of self-dual $\mathbb{Z}_4$-codes having large
  minimum Lee weights

abstract:
  It is shown that the residue code of a self-dual $\mathbb{Z}_4$-code of
length $24k$ (resp.\ $24k+8$) and minimum Lee weight $8k+4 \text{ or }8k+2$
(resp.\ $8k+8 \text{ or }8k+6$) is a binary extremal doubly even self-dual code
for every positive integer $k$. A number of new self-dual $\mathbb{Z}_4$-codes
of length $24$ and minimum Lee weight $10$ are constructed using the above
characterization. These codes are Type I $\mathbb{Z}_4$-codes having the
largest minimum Lee weight and the largest Euclidean weight among all Type I
$\mathbb{Z}_4$-codes of that length. In addition, new extremal Type II
$\mathbb{Z}_4$-codes of length $56$ are found.


title: Relativistic particle in the rest frame

abstract:
  It is shown that for a specific choice of a particular solution of the
relativistic wave equation, it falls into the Helmholtz equation and the Klein
-Gordon equation. In this case, the squares of the rest masses of the particle
with the relativistic dispersion relation are determined by the Helmholtz
equation. It is suggested the possibility in principle of classification of the
mass spectrum and lifetimes of the particles according to the discrete
solutions of the Helmholtz equation in a particular model. In this case, it can
be assumed that the lifetime of a particle is determined by the ratio of
contributions to the wave function of the Bessel and collapsed Neumann
functions. An opportunity to compare real elementary particles rest masses and
especially lifetimes with the particles masses and lifetimes considered is
discussed.


title:
On a 5-design related to a putative extremal doubly even self-dual code
  of length a multiple of 24

abstract:
  By the Assmus and Mattson theorem, the codewords of each nontrivial weight in
an extremal doubly even self-dual code of length 24m form a self-orthogonal
5-design. In this paper, we study the codes constructed from self-orthogonal
5-designs with the same parameters as the above 5-designs. We give some
parameters of a self-orthogonal 5-design whose existence is equivalent to that
of an extremal doubly even self-dual code of length 24m for m=3,...,6. If $m
\in \{1,\ldots,6\}$, $k \in \{m+1,\ldots,5m-1\}$ and $(m,k) \ne (6,18)$, then
it is shown that an extremal doubly even self-dual code of length 24m is
generated by codewords of weight 4k.


title: Triple and Simultaneous Collisions of Competing Brownian Particles

abstract:
  Consider a finite system of competing Brownian particles on the real line.
Each particle moves as a Brownian motion, with drift and diffusion coefficients
depending only on its current rank relative to the other particles. A triple
collision occurs if three particles are at the same position at the same
moment. A simultaneous collision occurs if at a certain moment, there are two
distinct pairs of particles such that in each pair, both particles occupy the
same position. These two pairs of particles can overlap, so a triple collision
is a particular case of a simultaneous collision. We find a necessary and
sufficient condition for a.s. absense of triple and simultaneous collisions,
continuing the work of Ichiba, Karatzas, Shkolnikov (2013). Our results are
also valid for the case of asymmetric collisions, when the local time of
collision between the particles is split unevenly between them; these systems
were introduced in Karatzas, Pal, Shkolnikov (2012).


title: Curvature properties of interior black hole metric

abstract:
  A spacetime is a connected 4-dimensional semi-Riemannian manifold endowed
with a metric $g$ with signature $(- + + +)$. The geometry of a spacetime is
described by the metric tensor $g$ and the Ricci tensor $S$ of type $(0, 2)$
whereas the energy momentum tensor of type $(0,2)$ describes the physical
contents of the spacetime. Einstein's field equations relate $g$, $S$ and the
energy momentum tensor and describe the geometry and physical contents of the
spacetime. By solving Einstein's field equations for empty spacetime (i.e. $S =
0$) for a non-static spacetime metric, one can obtain the interior black hole
solution, known as the interior black hole spacetime which infers that a
remarkable change occurs in the nature of the spacetime, namely, the external
spatial radial and temporal coordinates exchange their characters to temporal
and spatial coordinates, respectively, and hence the interior black hole
spacetime is a non-static one as the metric coefficients are time dependent.
For the sake of mathematical generalizations, in the literature, there are many
rigorous geometric structures constructed by imposing the restrictions to the
curvature tensor of the space involving first order and second order covariant
differentials of the curvature tensor. Hence a natural question arises that
which geometric structures are admitted by the interior black hole metric. The
main aim of this paper is to provide the answer of this question so that the
geometric structures admitting by such a metric can be interpreted physically.


title: Two distinct superconducting states in KFe$_2$As$_2$ under high pressure

abstract:
  We report measurements of ac magnetic susceptibility $\chi_{ac}$ and de
Haas-van Alphen (dHvA) oscillations in KFe$_2$As$_2$ under high pressure up to
24.7 kbar. The pressure dependence of the superconducting transition
temperature $T_c$ changes from negative to positive across $P_c \sim 18$ kbar
as previously reported. The ratio of the upper critical field to $T_c$, i.e,
$B_{c2} / T_c$, is enhanced above $P_c$, and the shape of $\chi_{ac}$ vs field
curves qualitatively changes across $P_c$. DHvA oscillations smoothly evolve
across $P_c$ and indicate no drastic change in the Fermi surface up to 24.7
kbar. Three dimensionality increases with pressure, while effective masses show
decreasing trends. We suggest a crossover from a nodal to a full-gap $s$ wave
as a possible explanation.


title:
Rate Region of the Vector Gaussian CEO Problem with the Trace Distortion
  Constraint

abstract:
  We establish a new extremal inequality, which is further leveraged to give a
complete characterization of the rate region of the vector Gaussian CEO problem
with the trace distortion constraint. The proof of this extremal inequality
hinges on a careful analysis of the Karush-Kuhn-Tucker necessary conditions for
the non-convex optimization problem associated with the Berger-Tung scheme,
which enables us to integrate the perturbation argument by Wang and Chen with
the distortion projection method by Rahman and Wagner.


title:
Manipulation of electronic and magnetic properties of M$_2$C (M=Hf, Nb,
  Sc, Ta, Ti, V, Zr) monolayer by applying mechanical strains

abstract:
  Tuning the electronic and magnetic properties of a material through strain
engineering is an effective strategy to enhance the performance of electronic
and spintronic devices. Recently synthesized two-dimensional transition metal
carbides M$_2$C (M=Hf, Nb, Sc, Ta, Ti, V, Zr), known as MXenes, has aroused
increasingly attentions in nanoelectronic technology due to their unusual
properties. In this paper, first-principles calculations based on density
functional theory are carried out to investigate the electronic and magnetic
properties of M$_2$C subjected to biaxial symmetric mechanical strains. At the
strain-free state, all these MXenes exhibit no spontaneous magnetism except for
Ti$_2$C and Zr$_2$C which show a magnetic moment of 1.92 and 1.25 $\mu_B$/unit,
respectively. As the tensile strain increases, the magnetic moments of MXenes
are greatly enhanced and a transition from nonmagnetism to ferromagnetism is
observed for those nonmagnetic MXenes at zero strains. The most distinct
transition is found in Hf$_2$C, in which the magnetic moment is elevated to 1.5
$\mu_B$/unit at a strain of 15%. We further show that the magnetic properties
of Hf$_2$C are attributed to the band shift mainly composed of Hf(5$d$) states.
This strain-tunable magnetism can be utilized to design future spintronics
based on MXenes.


title: Protocol Sequences for Multiple-Packet Reception

abstract:
  Consider a time slotted communication channel shared by $K$ active users and
a single receiver. It is assumed that the receiver has the ability of the
multiple-packet reception (MPR) to correctly receive at most $\gamma$ ($1 \leq
\gamma < K$) simultaneously transmitted packets. Each user accesses the channel
following a specific periodical binary sequence, called the protocol sequence,
and transmits a packet within a channel slot if and only if the sequence value
is equal to one. The fluctuation in throughput is incurred by inevitable random
relative shifts among the users due to the lack of feedback. A set of protocol
sequences is said to be throughput-invariant (TI) if it can be employed to
produce invariant throughput for any relative shifts, i.e., maximize the
worst-case throughput. It was shown in the literature that the TI property
without considering MPR (i.e., $\gamma=1$) can be achieved by using
shift-invariant (SI) sequences, whose generalized Hamming cross-correlation is
independent of relative shifts. This paper investigates TI sequences for MPR;
results obtained include achievable throughput value, a lower bound on the
sequence period, an optimal construction of TI sequences that achieves the
lower bound on the sequence period, and intrinsic structure of TI sequences. In
addition, we present a practical packet decoding mechanism for TI sequences
that incorporates packet header, forward error-correcting code, and advanced
physical layer blind signal separation techniques.


title:
The New Model of Chemical Evolution of r-process Elements Based on The
  Hierarchical Galaxy Formation I: Ba and Eu

abstract:
  We investigate the chemical enrichment of r-process elements in the early
evolutionary stages of the Milky Way halo within the framework of hierarchical
galaxy formation using a semi-analytic merger tree. In this paper, we focus on
heavy r-process elements, Ba and Eu, of extremely metal-poor (EMP) stars and
give constraints on their astronomical sites. Our models take into account
changes of the surface abundances of EMP stars by the accretion of interstellar
matter (ISM). We also consider metal-enrichment of intergalactic medium (IGM)
by galactic winds and the resultant pre-enrichment of proto-galaxies. The trend
and scatter of the observed r-process abundances are well reproduced by our
hierarchical model with $\sim 10\%$ of core-collapse supernovae in low-mass end
($\sim 10M_{\odot}$) as a dominant r-process source and the star formation
efficiency of $\sim 10^{-10} \hbox{yr}^{-1}$. For neutron star mergers as an
r-process source, their coalescence timescale has to be $ \sim 10^7$yrs, and
the event rates $\sim 100$ times larger than currently observed in the Galaxy.
We find that the accretion of ISM is a dominant source of r-process elements
for stars with [Ba/H] < -3.5. In this model, a majority of stars at [Fe/H] < -3
are formed without r-process elements but their surfaces are polluted by the
ISM accretion. The pre-enrichment affects $\sim 4\%$ of proto-galaxies, and
yet, is surpassed by the ISM accretion in the surface of EMP stars.


title:
Strongly enhanced atomic parity violation due to close levels of
  opposite parity

abstract:
  We present calculations of nuclear-spin-dependent and
nuclear-spin-independent parity violating amplitudes in Ba, Ra, Ac+, Th and Pa.
Parity nonconservation in these systems is greatly enhanced due to the presence
of very close electronic energy levels of opposite parity, large nuclear
charge, and strong nuclear enhancement of parity-violating effects. The
presented amplitudes constitute several of the largest atomic parity-violating
signals predicted so far. Experiments using these systems may be performed to
determine values for the nuclear anapole moment, a P-odd T-even nuclear moment
given rise to by parity-violating nuclear forces. Such measurements may prove
to be valuable tools in the study of parity violation in the hadron sector. The
considered spin-independent transitions could also be used to measure the ratio
of weak charges for different isotopes of the same atom, the results of which
would serve as a test of the standard model and also of neutron distributions.
Barium, with seven stable isotopes, is particularly promising in this regard.


title: Twisty itsy bitsy topological field theory

abstract:
  We extend the topological field theory (``itsy bitsy topological field
theory"') of our previous work from mod-2 to twisted coefficients. This
topological field theory is derived from sutured Floer homology but described
purely in terms of surfaces with signed points on their boundary (occupied
surfaces) and curves on those surfaces respecting signs (sutures). It has
information-theoretic (``itsy'') and quantum-field-theoretic (``bitsy'')
aspects. In the process we extend some results of sutured Floer homology,
consider associated ribbon graph structures, and construct explicit admissible
Heegaard decompositions.


title:
Information Leakage of Correlated Source Coded Sequences over Channel
  with an Eavesdropper

abstract:
  A new generalised approach for multiple correlated sources over a wiretap
network is investigated. A basic model consisting of two correlated sources
where each produce a component of the common information is initially
investigated. There are several cases that consider wiretapped syndromes on the
transmission links and based on these cases a new quantity, the information
leakage at the source/s is determined. An interesting feature of the models
described in this paper is the information leakage quantification. Shannon's
cipher system with eavesdroppers is incorporated into the two correlated
sources model to minimize key lengths. These aspects of quantifying information
leakage and reducing key lengths using Shannon's cipher system are also
considered for a multiple correlated source network approach. A new scheme that
incorporates masking using common information combinations to reduce the key
lengths is presented and applied to the generalised model for multiple sources.


title:
Scheme for measurement-based quantum computation on projected
  entangled-pair states

abstract:
  Recently it has been shown that projected entangled-pair states can be
considered as a (physically motivated) resource state for measurement-based
quantum computation. Here we elaborate on how to construct a deterministic
measurement-based quantum computation model on projected entangled-pair states.
In particular, we use this scheme to build a 4-level many-body model for
universal quantum computation on qubits. We also derive a 3-local parent
Hamiltonian for this model, whose ground state is non-degenerate.


title:
A Radon-type transform arising in Photoacoustic Tomography with circular
  detectors

abstract:
  PAT is the best-known example of a hybrid imaging method. In this article, we
define a Radon-type transform arising in a version of PAT that uses integrating
circle detectors and describe how the Radon transform integrating over all
circles with a fixed radius is determined from this Radon-type transform. Also,
the inversion of the Radon transform integrating over all circles is provided.
Various configuration of detectors have their own geometry problems. Here we
consider three situations: when the centers of the detectors are located on a
cylinder, on a plan, and on a sphere.
  This transform is similar to a toroidal transform, which maps a given
function to its integrals over a set of tori. We also study this mathematically
similar object.


title:
Parallel Genetic Algorithm to Solve Traveling Salesman Problem on
  MapReduce Framework using Hadoop Cluster

abstract:
  Traveling Salesman Problem (TSP) is one of the most common studied problems
in combinatorial optimization. Given the list of cities and distances between
them, the problem is to find the shortest tour possible which visits all the
cities in list exactly once and ends in the city where it starts. Despite the
Traveling Salesman Problem is NP-Hard, a lot of methods and solutions are
proposed to the problem. One of them is Genetic Algorithm (GA). GA is a simple
but an efficient heuristic method that can be used to solve Traveling Salesman
Problem. In this paper, we will show a parallel genetic algorithm
implementation on MapReduce framework in order to solve Traveling Salesman
Problem. MapReduce is a framework used to support distributed computation on
clusters of computers. We used free licensed Hadoop implementation as MapReduce
framework.


title: On the rings of Fricke characters of free abelian groups

abstract:
  In this paper, we study the structure of the rings of Fricke characters of
free abelian groups. More precisely, we consider a descending filtration of
ideals in the ring, and give a basis of its graded quotients. Then by using
this fact, we show that the ring of Fricke characters of a free aberian group
is an integral domain.


title:
Hadronic production of $\Xi_{cc}$ at a fixed-target experiment at the
  LHC

abstract:
  In the paper, we present a detailed discussion on the $\Xi_{cc}$ production
at a fixed target experiment at the LHC (After@LHC). The doubly charmed baryon
$\Xi_{cc}$ is produced via the channel, ${\rm Proton} + {\rm
Proton}\to\Xi_{cc}+X$. In estimating its hadroproduction, we discuss three
dominant subprocesses, e.g. $g+g\to \Xi_{cc} +\bar{c} +\bar{c}$, $g+c\to
\Xi_{cc}+\bar{c}$ and $c+c\to \Xi_{cc}+g$. During the production, it shall
first generate a binding diquark and then form the $\Xi_{cc}$ baryon by
grabbing soft light-quarks or gluons. We observe that both the two diquark
configurations $(cc)[^3S_1]_{\bf\bar 3}$ and $(cc)[^1S_0]_{\bf 6}$ can have
sizable contributions to the $\Xi_{cc}$ production. Large number of $\Xi_{cc}$
events can be generated at the After@LHC, whose total production cross section
is larger than that of the SELEX experiment by about thirty-five times. It may
also possible to study the properties of $\Xi_{bc}$ at the After@LHC. More
specifically, we shall have about $8.3 \times 10^6$ $\Xi_{cc}$ events/year and
$1.8 \times 10^4$ $\Xi_{bc}$ events/year when its integrated luminosity
approaches to $2$ fb$^{-1}$/year. Thus, in addition to SELEX and LHC, the
After@LHC shall provide another useful platform for studying the baryon
properties.


title: Phenomenologically varying $\Lambda$ and a toy model for the Universe

abstract:
  We consider a model of the Universe with variable G and {\Lambda}. Subject of
our interest is a phenomenological model for {\Lambda} proposed and considered
in this article first time (up to our knowledge). Modification based on an
assumption that ghost dark energy exists and Universe will feel it through
{\Lambda}. In that case we would like to consider possibility that there exist
some unusual connections between different components of the fluids existing in
Universe. We would like to stress, that this is just an assumption and could be
very far from the reality. We are interested by this model as a
phenomenological and mathematical and unfortunately, we will not discuss about
physical conditions and possibilities of having such modifications. To test our
assumption and to observe behavior of the Universe, we will consider toy models
filled by a barotropic fluid and modified Chaplyagin gas. To complete the logic
of the research we will consider interaction between barotropic fluid or
Chaplygin gas with ghost dark energy as a separate scenario. Statefinder
diagnostic also provided with stability analysis of the models. All free
parameters of the model fixed to satisfy generalized second law of
thermodynamics.


title: More Properties on Multi Poly-Euler Polynomials

abstract:
  In this paper, we establish more properties of generalized poly-Euler
polynomials with three parameters and we investigate a kind of symmetrized
generalization of poly- Euler polynomials. Moreover, we introduce a more
general form of multi poly-Euler polynomials and obtain some identities
parallel to those of the generalized poly-Euler polynomials.


title: Quasihomogeneous three-dimensional real analytic Lorentz metrics

abstract:
  We classify germs at the origin of real analytic Lorentz metrics on R^3 which
are quasihomogeneous, in the sense that they are locally homogeneous on an open
set containing the origin in its closure, but not locally homogeneous in the
neighborhood of the origin.


title: Mutual Interlacing and Eulerian-like Polynomials for Weyl Groups

abstract:
  We use the method of mutual interlacing to prove two conjectures on the
real-rootedness of Eulerian-like polynomials: Brenti's conjecture on
$q$-Eulerian polynomials for Weyl groups of type $D$, and Dilks, Petersen, and
Stembridge's conjecture on affine Eulerian polynomials for irreducible finite
Weyl groups.
  For the former, we obtain a refinement of Brenti's $q$-Eulerian polynomials
of type $D$, and then show that these refined Eulerian polynomials satisfy
certain recurrence relation. By using the Routh--Hurwitz theory and the
recurrence relation, we prove that these polynomials form a mutually
interlacing sequence for any positive $q$, and hence prove Brenti's conjecture.
For $q=1$, our result reduces to the real-rootedness of the Eulerian
polynomials of type $D$, which were originally conjectured by Brenti and
recently proved by Savage and Visontai.
  For the latter, we introduce a family of polynomials based on Savage and
Visontai's refinement of Eulerian polynomials of type $D$. We show that these
new polynomials satisfy the same recurrence relation as Savage and Visontai's
refined Eulerian polynomials. As a result, we get the real-rootedness of the
affine Eulerian polynomials of type $D$. Combining the previous results for
other types, we completely prove Dilks, Petersen, and Stembridge's conjecture,
which states that, for every irreducible finite Weyl group, the affine descent
polynomial has only real zeros.


title: On the finite time blow-up of biharmonic map flow in dimension four

abstract:
  In this paper, we show that for certain initial values, the (extrinsic)
biharmonic map flow in dimension four must blow up in finite time.


title: Delay-Energy lower bound on Two-Way Relay Wireless Network Coding

abstract:
  Network coding is a novel solution that significantly improve the throughput
and energy consumed of wireless networks by mixing traffic flows through
algebraic operations. In conventional network coding scheme, a packet has to
wait for packets from other sources to be coded before transmitting. The
wait-and-code scheme will naturally result in packet loss rate in a finite
buffer. We will propose Enhanced Network Coding (ENC), an extension to ONC in
continuous time domain.
  In ENC, the relay transmits both coded and uncoded packets to reduce delay.
In exchange, more energy is consumed in transmitting uncoded packets. ENC is a
practical algorithm to achieve minimal average delay and zero packet-loss rate
under given energy constraint. The system model for ENC on a general renewal
process queuing is presented. In particular, we will show that there exists a
fundamental trade-off between average delay and energy. We will also present
the analytic result of lower bound for this trade-off curve, which can be
achieved by ENC.


title: The EM algorithm and the Laplace Approximation

abstract:
  The Laplace approximation calls for the computation of second derivatives at
the likelihood maximum. When the maximum is found by the EM-algorithm, there is
a convenient way to compute these derivatives. The likelihood gradient can be
obtained from the EM-auxiliary, while the Hessian can be obtained from this
gradient with the Pearlmutter trick.


title: Supersymmetry - When Theory Inspires Experimental Searches

abstract:
  We review, in the first part of this work, many pioneering works on
supersymmetry and organize these results to show how supersymmetric quantum
field theories arise from spin-statistics, N{\oe}ther and a series of no-go
theorems. We then introduce the so-called superspace formalism dedicated to the
natural construction of supersymmetric Lagrangians and detail the most popular
mechanisms leading to soft supersymmetry breaking. As an application, we
describe the building of the Minimal Supersymmetric Standard Model and
investigate current experimental limits on the parameter space of its most
constrained versions. To this aim, we use various flavor, electroweak
precision, cosmology and collider data. We then perform several
phenomenological excursions beyond this minimal setup and probe effects due to
non-minimal flavor violation in the squark sector, revisiting various
constraints arising from indirect searches for superpartners. Next, we use
several interfaced high-energy physics tools, including the FeynRules package
and its UFO interface that we describe in detail, to study the phenomenology of
two non- minimal supersymmetric models at the Large Hadron Collider. We
estimate the sensitivity of this machine to monotop production in R-parity
violating supersymmetry and sgluon-induced multitop production in R-symmetric
supersymmetry. We then generalize the results to new physics scenarios designed
from a bottom-up strategy and finally depict, from a theorist point of view, a
search for monotops at the Tevatron motivated by these findings.


title:
Effective interface conditions for the forced infiltration of a viscous
  fluid into a porous medium using homogenization

abstract:
  It is generally accepted that the effective velocity of a viscous flow over a
porous bed satisfies the Beavers-Joseph slip law. To the contrary, in the case
of a forced infiltration of a viscous fluid into a porous medium the interface
law has been a subject of controversy. In this paper, we prove rigorously that
the effective interface conditions are:
  (i) the continuity of the normal effective velocities;
  (ii) zero Darcy's pressure and
  (iii) a given slip velocity.
  The effective tangential slip velocity is calculated from the boundary layer
and depends only on the pore geometry. In the next order of approximation, we
derive a pressure slip law. An independent confirmation of the analytical
results using direct numerical simulation of the flow at the microscopic level
is given, as well.


title:
Superdeformed structures and low $\Omega$ parity doublet in Ne$-$S
  nuclei near neutron drip-line

abstract:
  The structure of Ne, Na, Mg, Al, Si, P and S nuclei near the neutron
drip-line region is investigated in the frame-work of relativistic mean field
theory and non-relativistic Skyrme Hartree-Fock formalism. The recently
discovered nuclei $^{40}$Mg and $^{42}$Al, which are beyond the drip-line
predicted by various mass formulae are located within these models. We find
many largely deformed neutron-rich nuclei, whose structures are analyzed. From
the structure anatomy, we find that at large deformation, low $\Omega$ orbits
of opposite parities (e.g. $\frac{1}{2}^+$ and $\frac{1}{2}^-$) occur close to
each other in energy.


title: Regions of possible motion in mechanical systems

abstract:
  A method to study the topology of the integral manifolds basing on their
projections to some other manifold of lower dimension is proposed. These
projections are called the regions of possible motion and in mechanical systems
arise in a natural way as the regions on a space of configuration variables. To
classify such regions we introduce the notion of a generalized boundary of a
region of possible motion and give the equation to find the generalized
boundaries. The inertial motion of a gyrostat (the Euler--Zhukovsky case) is
considered as an example. Explicit parametric equations of generalized
boundaries are obtained. The investigation gives the main types of connected
components of the regions of possible motion (including the sets of the
admissible velocities over each point of the region). From this information,
the phase topology of the case is established.


title: Discussion: Time-Symmetric Quantum Counterfactuals

abstract:
  There is a trend to consider counterfactuals as invariably time-asymmetric.
Recently, this trend manifested itself in the controversy about validity of
counterfactual application of a time-symmetric quantum probability rule.
Kastner (2003) analyzed this controversy and concluded that there are
time-symmetric quantum counterfactuals which are consistent, but they turn out
to be trivial. I correct Kastner's misquotation of my defense of time-symmetric
quantum counterfactuals and explain their non-trivial aspects, thus contesting
the claim that counterfactuals have to be time-asymmetric.


title: A search for magnetic fields on central stars in planetary nebulae

abstract:
  One of the possible mechanisms responsible for the panoply of shapes in
planetary nebulae is the presence of magnetic fields that drive the ejection of
ionized material during the proto-planetary nebula phase. Therefore, detecting
magnetic fields in such objects is of key importance for understanding their
dynamics. Still, magnetic fields have not been detected using polarimetry in
the central stars of planetary nebulae. Circularly polarized light spectra have
been obtained with the Focal Reducer and Low Dispersion Spectrograph at the
Very Large Telescope of the European Southern Observatory and the Intermediate
dispersion Spectrograph and Imaging System at the William Herschel Telescope.
Nineteen planetary nebulae spanning very different morphology and evolutionary
stages have been selected. Most of central stars have been observed at
different rotation phases to point out evidence of magnetic variability. In
this paper, we present the result of two observational campaigns aimed to
detect and measure the magnetic field in the central stars of planetary nebulae
on the basis of low resolution spectropolarimetry. In the limit of the adopted
method, we can state that large scale fields of kG order are not hosted on the
central star of planetary nebulae.


title: The Geometry of Black Hole singularities

abstract:
  Recent results show that important singularities in General Relativity can be
naturally described in terms of finite and invariant canonical geometric
objects. Consequently, one can write field equations which are equivalent to
Einstein's at non-singular points, but in addition remain well-defined and
smooth at singularities. The black hole singularities appear to be less
undesirable than it was thought, especially after we remove the part of the
singularity due to the coordinate system. Black hole singularities are then
compatible with global hyperbolicity, and don't make the evolution equations
break down, when these are expressed in terms of the appropriate variables. The
charged black holes turn out to have smooth potential and electromagnetic
fields in the new atlas. Classical charged particles can be modeled, in General
Relativity, as charged black hole solutions. Since black hole singularities are
accompanied by dimensional reduction, this should affect Feynman's path
integrals. Therefore, it is expected that singularities induce dimensional
reduction effects in Quantum Gravity. These dimensional reduction effects are
very similar to those postulated in some approaches to making Quantum Gravity
perturbatively renormalizable. This may provide a way to test indirectly the
effects of singularities, otherwise inaccessible.


title:
Measurement of azimuthal hadron asymmetries in semi-inclusive deep
  inelastic scattering off unpolarised nucleons

abstract:
  Spin-averaged asymmetries in the azimuthal distributions of positive and
negative hadrons produced in deep inelastic scattering were measured using the
CERN SPS muon beam at $160$ GeV/c and a $^6$LiD target. The amplitudes of the
three azimuthal modulations $\cos\phi_h$, $\cos2\phi_h$ and $\sin\phi_h$ were
obtained binning the data separately in each of the relevant kinematic
variables $x$, $z$ or $p_T^{\,h}$ and binning in a three-dimensional grid of
these three variables. The amplitudes of the $\cos \phi_h$ and $\cos 2\phi_h$
modulations show strong kinematic dependencies both for positive and negative
hadrons.


title: Tibetan calendar mathematics

abstract:
  The calculations of the Tibetan calendar are described, using modern
mathematical notations instead of the traditional methods.


title:
Magnetic properties and Mott transition in the Hubbard model on the
  anisotropic triangular lattice

abstract:
  Magnetic phase diagram and Mott transition are studied in the Hubbard model
on the anisotropic triangular lattice at zero temperature and half-filling by
the variational cluster approximation, taking into account N\'eel, 120$^\circ$
N\'eel, and collinear orderings. Paramagnetic insulator (spin liquid) is
realized above the metallic phase around the isotropic point. In general, this
spin liquid state, continuously connected with the metallic state, changes to a
magnetic state as the on-site Coulomb repulsion $U$ increases, but it persists
up to large $U$ limit in a small window between 120$^\circ$ N\'eel and
collinear phases. For very large $U$ another spin liquid state, separated from
the metallic state by magnetic states, emerges around a narrow region where
both N\'eel and 120$^\circ$ N\'eel orderings are highly suppressed due to the
frustration and anisotropy. Implications for the
$\kappa$-(BEDT-TTF)$_2$Cu$_2$(CN)$_3$ are discussed. As for the Mott
transition, the structure of the self-energy in the spectral representation is
studied in detail. As $U$ increases around the Mott transition point, single
dispersion evolves in the spectral weights of the self-energy which splits the
non-interacting band into the upper and lower Hubbard bands.


title: Ergodicity of a collective random walk on a circle

abstract:
  We discuss conditions for unique ergodicity of a collective random walk on a
continuous circle. Individual particles in this collective motion perform
independent (and different in general) random walks conditioned by the
assumption that the particles cannot overrun each other. Additionally to
sufficient conditions for the unique ergodicity we discover a new and
unexpected way for its violation due to excessively large local jumps.
Necessary and sufficient conditions for the unique ergodicity of the
deterministic version of this system are obtained as well. Technically our
approach is based on the interlacing property of the spin function which
describes states of pairs of particles in coupled processes under study.


title: Signatures of rotating binaries in micro-lensing experiments

abstract:
  Gravitational microlensing offers a powerful method with which to probe a
variety of binary-lens systems, as the binarity of the lens introduces
deviations from the typical (single-lens) Paczy\'nski behaviour in the event
light curves. Generally, a static binary lens is considered to fit the observed
light curve and, when the orbital motion is taken into account, an
oversimplified model is usually employed. In this paper, we treat the
binary-lens motion in a realistic way and focus on simulated events that are
fitted well by a Paczy\'nski curve. We show that an accurate timing analysis of
the residuals (calculated with respect to the best-fitting Paczy\'nski model)
is usually sufficient to infer the orbital period of the binary lens. It goes
without saying that the independently estimated period may be used to further
constrain the orbital parameters obtained by the best-fitting procedure, which
often gives degenerate solutions. We also present a preliminary analysis of the
event OGLE-2011-BLG-1127 / MOA-2011-BLG-322, which has been recognized to be
the result of a binary lens. The period analysis results in a periodicity of
\simeq 12 days, which confirms the oscillation of the observed data around the
best-fitting model. The estimated periodicity is probably associated with an
intrinsic variability of the source star, and therefore there is an opportunity
to use this technique to investigate either the intrinsic variability of the
source or the effects induced by the binary-lens orbital motion.


title: Gluon mass at finite temperature in Landau gauge

abstract:
  Using lattice results for the Landau gauge gluon propagator at finite
temperature, we investigate its interpretation as a massive type bosonic
propagator. In particular, we estimate a gluon mass from Yukawa-like fits to
the lattice data and study its temperature dependence.


title: A Security Plan for Smart Grid Systems Based On AGC4ISR

abstract:
  This paper is proposed a security plan for Smart Grid Systems based on
AGC4ISR which is an architecture for Autonomic Grid Computing Systems. Smart
Grid incorporates has many benefits of distributed computing and communications
to deliver a real-time information and enable the near-instantaneous balance of
supply and demand at the device level. AGC4ISR architecture is Organized by
Autonomic Grid Computing and C4ISR (Command, Control, Communications, Computers
and Intelligence, Surveillance, & Reconnaissance) Architecture. In this paper
we will present a solution for as security plan which will be consider
encryption, intrusion detection, key management and detail of cyber security in
Smart Grids. In this paper we use the cryptography for the packet in the C4ISR
and we use a key management for send and receive a packet in the smart grid
because it is necessary for intelligent networks to keeping away from packet
missing.


title:
Effect of correlations and doping on the spin susceptibility of iron
  pnictides: the case of KFe2As2

abstract:
  The temperature dependence of the paramagnetic susceptibility of the iron
pnictide superconductor KFe2As2 and its connection with the spectral properties
of that material is investigated by a combination of density functional theory
(DFT) in the local density approximation and dynamical mean-field theory
(DMFT). Unlike other iron pnictide parent compounds where the typical oxidation
state of iron is 2, the formal valence of Fe in KFe2As2 is 2.5, corresponding
to an effective doping with 0.5 hole per iron atom compared to, for example,
BaFe2As2. This shifts the chemical potential and thereby reduces the distance
between the peaks in the spectral functions of KFe2As2 and the Fermi energy as
compared to BaFe2As2. The shift, which is clearly seen on the level of DFT as
well as in DMFT, is further enhanced by the strong electronic correlations in
KFe2As2. In BaFe2As2 the presence of these peaks results [Phys. Rev. B 86,
125124 (2012)] in a temperature increase of the susceptibility up to a maximum
at ~1000 K. While the temperature increase was observed experimentally the
decrease at even higher temperatures is outside the range of experimental
observability. We predict that in KFe2As2 the situation is different. Namely,
the reduction of the distance between the peaks and the Fermi level due to
doping is expected to shift the maximum in the susceptibility to much lower
temperatures, such that the decrease of the susceptibility should become
visible in experiment.


title: Top-Mode Pseudos at the LHC

abstract:
  We discuss LHC phenomenologies of the Top-Mode Pseudos $(h^0_t,A^0_t)$,
composite pseudo Nambu--Goldstone bosons predicted in the model recently
proposed in a framework of the top quark condensation. The CP-even Top-Mode
Pseudo, dubbed tHiggs ($h^0_t$), is identified with the 126 GeV Higgs boson at
the LHC. We analyze the coupling properties of the tHiggs in comparison with
the currently available data reported from LHC Run-I to find that the tHiggs
can be consistent with the LHC Higgs boson. The mass formula relating masses of
the Top-Mode Pseudos allows us to place an indirect limit on the mass of the
CP-odd Top-Mode Pseudo ($A^0_t$) from the constraint on the tHiggs coupling
strengths. The presence of the mass formula also significantly affects the
coupling property of $A^0_t$, which ensures $A^0_t$ weakly coupled to the
Standard Model particles. The direct limit on the mass of $A^0_t$ is placed by
data on searches for new resonances in several channels at the LHC Run-I. We
find the lower mass bound from both the indirect and direct limits, $m_{A^0_t}
\gtrsim 560$ GeV. The discovery channel of $A^0_t$ in the upcoming LHC Run-II
is also addressed.


title: On Calabi extremal Kaehler-Ricci solitons

abstract:
  In this note we give a characterization of Kaehler metrics which are both
Calabi extremal and Kaehler-Ricci solitons in terms of complex Hessians and the
Riemann curvature tensor. We apply it to prove that, under the assumption of
positivity of the holomorphic sectional curvature, these metrics are Einstein.


title:
An Extended Result on the Optimal Estimation under Minimum Error Entropy
  Criterion

abstract:
  The minimum error entropy (MEE) criterion has been successfully used in
fields such as parameter estimation, system identification and the supervised
machine learning. There is in general no explicit expression for the optimal
MEE estimate unless some constraints on the conditional distribution are
imposed. A recent paper has proved that if the conditional density is
conditionally symmetric and unimodal (CSUM), then the optimal MEE estimate
(with Shannon entropy) equals the conditional median. In this study, we extend
this result to the generalized MEE estimation where the optimality criterion is
the Renyi entropy or equivalently, the \alpha-order information potential (IP).


title:
Modifications of the Meissner screening profile in
  YBa$_2$Cu$_3$O$_{7-\delta}$ thin films by gold nanoparticles

abstract:
  Adding Au nanoparticles to YBa$_2$Cu$_3$O$_{7-\delta}$ thin films leads to an
increase of the superconducting transition temperature $T_{\rm c}$ and the
critical current density $j_{\rm c}$. While the higher $j_{\rm c}$ can be
understood in terms of a stronger pinning of the flux vortices at the Au
nanoparticles, the enhanced $T_{\rm c}$ is still puzzling. In the present
study, we determined the microscopic magnetic penetration profiles and the
corresponding London penetration depths $\lambda_{\rm L}$ in the Meissner state
of optimally doped YBa$_2$Cu$_3$O$_{7-\delta}$ thin films with and without Au
nanoparticles by low-energy muon spin rotation. By Rutherford backscattering
spectrometry, we show that the Au nanoparitcles are distributed over the whole
thickness of the thin-film samples. The superfluid density $n_{\rm s} \propto
1/\lambda_{\rm L}^2$ was found to increase in the films containing Au
nanoparticles. We attribute this increase of $n_{\rm s}$ to a reduction of the
defect density possibly due to defect condensation at the Au nanoparticles.


title:
The effect of Ag addition on the superconducting properties of the FeSe
  system

abstract:
  The tetragonal FeSe phase is an intensively investigated iron based
superconductor. In this study we examined the influence of Ag addition on the
superconducting properties of selenium deficient polycrystalline FeSe0.94. The
samples were obtained by solid state reaction and melting methods. XRD analysis
shows the presence of tetragonal phase and EDX analysis establishes
inhomogeneous Ag distribution in the grains. The superconducting properties
were investigated by fundamental and third harmonic AC magnetic susceptibility.
The intergranular critical current determined from AC magnetic susceptibility
in the Ag doped sample is several times higher than that in the undoped one,
obtained by melting at approximately the same temperatures. Intra-granular
current is field independent up to almost 1000 Oe. Using the temperature
dependence of third harmonic AC magnetic susceptibility at different DC
magnetic fields, the irreversibility lines were obtained for all samples. It is
found that Ag addition increased the irreversibility field in comparison with
undoped melted and powder sintered samples. All results show that the Ag
addition in selenium deficient (FeSe0.94) samples leads to improvement of
inter- and intra- granular properties: screening ability, pinning, activation
energy and critical current and improves the irreversibility line.


title: Finite-Time-Finite-Size Scaling of the Kuramoto Oscillators

abstract:
  Phase transition in its strict sense can only be observed in an infinite
system, for which equilibration takes an infinitely long time at criticality.
In numerical simulations, we are often limited both by the finiteness of the
system size and by the finiteness of the observation time scale. We propose
that one can overcome this barrier by measuring the nonequilibrium temporal
relaxation for finite systems and by applying the finite-time-finite-size
scaling (FTFSS) which systematically uses two scaling variables, one temporal
and the other spatial. The FTFSS method yields a smooth scaling surface, and
the conventional finite-size scaling curves can be viewed as proper cross
sections of the surface. The validity of our FTFSS method is tested for the
synchronization transition of Kuramoto models in the globally-coupled structure
and in the small-world network structure. Our FTFSS method is also applied to
the Monte-Carlo dynamics of the globally-coupled q-state clock model.


title:
The Green Function for the BFKL Pomeron and the Transition to DGLAP
  Evolution

abstract:
  We consider the (process-independent) Green function for the BFKL equation in
the next-to-leading order approximation, with running coupling, and explain
how, within the semi-classical approximation, it is related to Green function
of the Airy equation. The unique Green function is obtained from a combination
of its required ultraviolet behaviour compatible with asymptotic freedom and an
infrared limit phase imposed by the non-perturbative sector of QCD. We show
that at sufficiently large gluon transverse momenta the corresponding gluon
density matches that of the DGLAP analysis, whereas for relatively small values
of the gluon transverse momentum the gluon distribution is sensitive to the
Regge poles, whose positions are determined both by the non-pertubative QCD
dynamics and physics at large transverse momenta.


title:
Quasipotential and exit time for 2D Stochastic Navier-Stokes equations
  driven by space time white noise

abstract:
  We are dealing with the Navier-Stokes equation in a bounded regular domain
$D$ of $\mathbb{R}^2$, perturbed by an additive Gaussian noise $\partial
w^{Q_\delta}/\partial t$, which is white in time and colored in space. We
assume that the correlation radius of the noise gets smaller and smaller as
$\delta\searrow 0$, so that the noise converges to the white noise in space and
time. For every $\delta>0$ we introduce the large deviation action functional
$S^\delta_{0,T}$ and the corresponding quasi-potential $U_\delta$ and, by using
arguments from relaxation and $\Gamma$-convergence we show that $U_\delta$
converges to $U=U_0$, in spite of the fact that the Navier-Stokes equation has
no meaning in the space of square integrable functions, when perturbed by
space-time white noise. Moreover, in the case of periodic boundary conditions
the limiting functional $U$ is explicitly computed.
  Finally, we apply these results to estimate of the asymptotics of the
expected exit time of the solution of the stochastic Navier-Stokes equation
from a basin of attraction of an asymptotically stable point for the
unperturbed system.


title: Effects of the Second Harmonic on the GAM in Electron Scale Turbulence

abstract:
  The effects higher order harmonics have been self-consistently included in
the derivation of the electron branch of the electron Geodesic Acoustic Mode
(el-GAM) in an Electron-Temperature-Gradient (ETG) turbulence background. The
work is based on a two-fluid model including finite $\beta$-effects while
retaining non-adiabatic ions. In solving the linear dispersion relation, it is
found that the due to the coupling to the $m=2$ mode the real frequency may be
significantly altered and yield higher values.


title:
Crossover from a Kosterlitz-Thouless to a discontinuous phase transition
  in two-dimensional liquid crystals

abstract:
  Liquid crystals in two dimensions do not support long-ranged nematic order,
but a quasi-nematic phase where the orientational correlations decay
algebraically is possible. The transition from the isotropic to the
quasi-nematic phase can be continuous of the Kosterlitz-Thouless type, or it
can be first-order. We report here on a liquid crystal model where the nature
of the isotropic to quasi-nematic transition can be tuned via a single
parameter $p$ in the pair potential. For $p<p_t$, the transition is of the
Kosterlitz-Thouless type, while for $p>p_t$ it is first-order. Precisely at
$p=p_t$, there is a tricritical point, where, in addition to the orientational
correlations, also the positional correlations decay algebraically. The
tricritical behavior is analyzed in detail, including an accurate estimate of
$p_t$. The results follow from extensive Monte Carlo simulations combined with
a finite-size scaling analysis. Paramount in the analysis is a scheme to
facilitate the extrapolation of simulation data in parameters that are not
necessarily field variables (in this case the parameter $p$) the details of
which are also provided. This scheme provides a simple and powerful alternative
for situations where standard histogram reweighting cannot be applied.


title: Higgs Physics at future Linear Colliders - A Case for precise Vertexing

abstract:
  The discovery of a Higgs boson by the experiments at the LHC marks a major
breakthrough in particle physics, with far-reaching consequences for our
understanding of the fundamental principles of our Universe. To fully explore
this unique particle, experiments at high-energy electron-positron colliders
are being planned, providing substantial added benefit over the capabilities of
the LHC alone, such as model-independent measurements of couplings, constraints
on invisible decays and precise measurements of the self-coupling. This
contribution summarizes the Higgs physics program at such future facilities,
highlighting in particular also the role of precise vertexing in achieving the
ambitious goals of these experiments.


title:
Renormalization aspects of N=1 Super Yang-Mills theory in the
  Wess-Zumino gauge

abstract:
  The renormalization of N=1 Super Yang-Mills theory is analysed in the
Wess-Zumino gauge, employing the Landau condition. An all orders proof of the
renormalizability of the theory is given by means of the Algebraic
Renormalization procedure. Only three renormalization constants are needed,
which can be identified with the coupling constant, gauge field and gluino
renormalization. The non-renormalization theorem of the gluon-ghost-antighost
vertex in the Landau gauge is shown to remain valid in N=1 Super Yang-Mills.
Moreover, due to the non-linear realization of the supersymmetry in the
Wess-Zumino gauge, the renormalization factor of the gauge field turns out to
be different from that of the gluino. These features are explicitly checked
through a three loop calculation.


title: Graver Bases and Universal Gr\"obner Bases for Linear Codes

abstract:
  Two correspondences have been provided that associate any linear code over a
finite field with a binomial ideal. In this paper, algorithms for computing
their Graver bases and universal Gr\"obner bases are given. To this end, a
connection between these binomial ideals and toric ideals will be established.


title: Localization of high-energy electron scattering from atomic vibrations

abstract:
  Electrons with kinetic energies of the order 100 keV are capable of exciting
atomic vibrational states from a distance of microns. Despite such a large
interaction distance, our detailed calculations show that the scattering
physics permits a high-energy electron beam to locate vibrational excitations
with atomic-scale spatial resolution. Pursuits to realize this capability
experimentally could potentially benefit numerous fields across the physical
sciences.


title:
Mass characteristics of active and sterile neutrinos in a
  phenomenological (3+1+2)-model

abstract:
  On the basis of the experimental data allowing existence of the anomalies
going beyond the minimally extended Standard Model with three active neutrinos
with different masses, we consider the generalized model with three active and
three sterile neutrinos, one of which is relatively heavy ((3+1+2)-model). We
study the basic characteristics that are used to describe the massive active
and sterile neutrinos, the methods to determine the absolute scale of neutrino
masses and the neutrino mass estimates based on the available experimental
data. Taking into account the possible contributions of the sterile neutrinos,
the dependences of the neutrino mass characteristics on the sterile neutrino
mass are plotted. The results obtained can be used to interpret and to predict
the results of various neutrino experiments.


title: Hypergraph Acyclicity and Propositional Model Counting

abstract:
  We show that the propositional model counting problem #SAT for CNF- formulas
with hypergraphs that allow a disjoint branches decomposition can be solved in
polynomial time. We show that this class of hypergraphs is incomparable to
hypergraphs of bounded incidence cliquewidth which were the biggest class of
hypergraphs for which #SAT was known to be solvable in polynomial time so far.
Furthermore, we present a polynomial time algorithm that computes a disjoint
branches decomposition of a given hypergraph if it exists and rejects
otherwise. Finally, we show that some slight extensions of the class of
hypergraphs with disjoint branches decompositions lead to intractable #SAT,
leaving open how to generalize the counting result of this paper.


title:
Effect of boundary vibration on the frictional behavior of a dense
  sheared granular layer

abstract:
  We report results of 3D Discrete Element Method (DEM) simulations aiming at
investigating the role of the boundary vibration in inducing frictional
weakening in sheared granular layers. We study the role of different vibration
amplitudes applied at various shear stress levels, for a granular layer in the
stick-slip regime and in the steady-sliding regime. Results are reported in
terms of friction drops and kinetic energy release associated with frictional
weakening events. We find that larger vibration amplitude induces larger
frictional weakening events. The results show evidence of a threshold below
which no induced frictional weakening takes place. Friction drop size is found
to be dependent on the shear stress at the time of vibration. A significant
increase in the ratio between the number of slipping contacts to the number of
sticking contacts in the granular layer is observed for large vibration
amplitudes. These vibration-induced contact rearrangements enhance particle
mobilization and induces a friction drop and kinetic energy release. This
observation provides some insight into the grain-scale mechanisms of frictional
weakening by boundary vibration in a dense sheared granular layer. In addition
to characterizing the basic physics of vibration induced shear weakening, we
are attempting to understand how a fault fails in the earth under seismic wave
forcing. This is the well know phenomenon of dynamic earthquake triggering. We
believe that the granular physics are key to this understanding.


title: Causality principle in reconstruction of sparse NMR spectra

abstract:
  Rapid development of sparse sampling methodology offers dramatic increase in
power and efficiency of magnetic resonance techniques in medicine, chemistry,
molecular structural biology, and other fields. We suggest to use available yet
usually unexploited prior knowledge about the phase and the causality of the
sparsely detected NMR signal as a general approach for a major improvement of
the spectra quality. The work gives a theoretical framework of the method and
demonstrates notable improvement of the protein spectra reconstructed with two
commonly used state-of-the-art signal processing algorithms, compressed sensing
and SIFT.


title:
Truth Table Invariant Cylindrical Algebraic Decomposition by Regular
  Chains

abstract:
  A new algorithm to compute cylindrical algebraic decompositions (CADs) is
presented, building on two recent advances. Firstly, the output is truth table
invariant (a TTICAD) meaning given formulae have constant truth value on each
cell of the decomposition. Secondly, the computation uses regular chains theory
to first build a cylindrical decomposition of complex space (CCD) incrementally
by polynomial. Significant modification of the regular chains technology was
used to achieve the more sophisticated invariance criteria. Experimental
results on an implementation in the RegularChains Library for Maple verify that
combining these advances gives an algorithm superior to its individual
components and competitive with the state of the art.


title:
Lattice QCD study for relation between confinement and chiral symmetry
  breaking on temporally odd-number lattice

abstract:
  We investigate the contribution from each Dirac modes to the Polyakov loop
based on a gauge-invariant analytical relation connecting the Polyakov loop and
the Dirac modes on a temporally odd-number lattice, where the temporal lattice
size is odd, with the normal (nontwisted) periodic boundary condition. The
dumping factor in the relation plays crucial role for the negligible
contribution of low-lying Dirac modes to the Polyakov loop. The zero-value of
the Polyakov loop in the confinement phase is due to the ``positive/negative
symmetry'' of the Dirac-mode contribution to the Polyakov loop. In the
deconfinement phase, there is no such symmetry.


title: Predicate Logic as a Modelling Language: The IDP System

abstract:
  With the technology of the time, Kowalski's seminal 1974 paper {\em Predicate
Logic as a Programming Language} was a breakthrough for the use of logic in
computer science. It introduced two fundamental ideas: on the declarative side,
the use of the Horn clause logic fragment of classical logic, which was soon
extended with negation as failure, on the procedural side the procedural
interpretation which made it possible to write algorithms in the formalism.
  Since then, strong progress was made both on the declarative understanding of
the logic programming formalism and in automated reasoning technologies,
particularly in SAT solving, Constraint Programming and Answer Set Programming.
This has paved the way for the development of an extension of logic programming
that embodies a more pure view of logic as a modelling language and its role
for problem solving.
  In this paper, we present the \idp language and system. The language is
essentially classical logic extended with one of logic programmings most
important contributions to knowledge representation: the representation of
complex definitions as rule sets under well-founded semantics. The system is a
knowledge base system: a system in which complex declarative information is
stored in a knowledge base which can be used to solve different computational
problems by applying multiple forms of inference. In this view, theories are
declarative modellings, bags of information, descriptions of possible states of
affairs. They are neither procedures nor descriptions of computational
problems. As such, the \idp language and system preserve the fundamental idea
of a declarative reading of logic programs, while they break with the
fundamental idea of the procedural interpretation of logic programs.


title: One-dimensional quantum scattering by a parabolic odd potential

abstract:
  Quantum scattering by a one-dimensional odd potential proportional to the
square of the distance to the origin is considered. The Schr\"odinger equation
is solved exactly and explicit algebraic expressions of the wavefunction are
given. A complete discussion of the scattering function reveals the existence
of Gamow (decaying) states and of resonances.


title:
Collapse models: from theoretical foundations to experimental
  verifications

abstract:
  The basic strategy underlying models of spontaneous wave function collapse
(collapse models) is to modify the Schroedinger equation by including nonlinear
stochastic terms, which tend to localize wave functions in space in a dynamical
manner. These terms have negligible effects on microscopic systems-therefore
their quantum behaviour is practically preserved. On the other end, since the
strength of these new terms scales with the mass of the system, they become
dominant at the macroscopic level, making sure that wave functions of
macro-objects are always well-localized in space. We will review these basic
features. By changing the dynamics of quantum systems, collapse models make
predictions, which are different from standard quantum mechanical predictions.
Although they are difficult to detect, we discuss the most relevant scenarios,
where such deviations can be observed


title: Quenched pinning and collective dislocation dynamics

abstract:
  Several experiments show that crystalline solids deform in a bursty and
intermittent fashion. Power-law distributed strain bursts in compression
experiments of micron-sized samples, and acoustic emission energies from
larger-scale specimens, are the key signatures of the underlying critical-like
collective dislocation dynamics - a phenomenon that has also been seen in
discrete dislocation dynamics (DDD) simulations. Here we show, by performing
large-scale two-dimensional DDD simulations, that the character of the
dislocation avalanche dynamics changes upon addition of sufficiently strong
randomly distributed quenched pinning centres, present e.g. in many alloys as
immobile solute atoms. For intermediate pinning strength, our results adhere to
the scaling picture of depinning transitions, in contrast to pure systems where
dislocation jamming dominates the avalanche dynamics. Still stronger disorder
quenches the critical behaviour entirely.


title: Eigenvalues collision for PT-symmetric waveguide

abstract:
  We consider a model of planar PT-symmetric waveguide and study the phenomenon
of the eigenvalues collision under the perturbation of boundary conditions.
This phenomenon was discovered numerically in previous works. The main result
of this work is an analytic explanation of this phenomenon.


title:
DDoS Attack and Defense: Review of Some Traditional and Current
  Techniques

abstract:
  Distributed Denial of Service (DDoS) attacks exhaust victim's bandwidth or
services. Traditional architecture of Internet is vulnerable to DDoS attacks
and an ongoing cycle of attack & defense is observed. In this paper, different
types and techniques of DDoS attacks and their countermeasures are reviewed.
The significance of this paper is the coverage of many aspects of countering
DDoS attacks including new research on the topic. We survey different papers
describing methods of defense against DDoS attacks based on entropy variations,
traffic anomaly parameters, neural networks, device level defense, botnet flux
identifications and application layer DDoS defense. We also discuss some
traditional methods of defense such as traceback and packet filtering
techniques so that readers can identify major differences between traditional
and current techniques of defense against DDoS attacks. Before the discussion
on countermeasures, we mention different attack types under DDoS with
traditional and advanced schemes while some information on DDoS trends in the
year 2012 Quarter-1 is also provided. We identify that application layer DDoS
attacks possess the ability to produce greater impact on the victim as they are
driven by legitimate-like traffic making it quite difficult to identify and
distinguish from legitimate requests. The need of improved defense against such
attacks is therefore more demanding in research. The study conducted in this
paper can be helpful for readers and researchers to recognize better techniques
of defense in current times against DDoS attacks and contribute with more
research on the topic in the light of future challenges identified in this
paper.


title: Explicit schemes for time propagating many-body wavefunctions

abstract:
  Accurate theoretical data on many time-dependent processes in atomic and
molecular physics and in chemistry require the direct numerical solution of the
time-dependent Schr\"odinger equation, thereby motivating the development of
very efficient time propagators. These usually involve the solution of very
large systems of first order differential equations that are characterized by a
high degree of stiffness. We analyze and compare the performance of the
explicit one-step algorithms of Fatunla and Arnoldi. Both algorithms have
exactly the same stability function, therefore sharing the same stability
properties that turn out to be optimum. Their respective accuracy however
differs significantly and depends on the physical situation involved. In order
to test this accuracy, we use a predictor-corrector scheme in which the
predictor is either Fatunla's or Arnoldi's algorithm and the corrector, a fully
implicit four-stage Radau IIA method of order 7. We consider two physical
processes. The first one is the ionization of an atomic system by a short and
intense electromagnetic pulse; the atomic systems include a one-dimensional
Gaussian model potential as well as atomic hydrogen and helium, both in full
dimensionality. The second process is the decoherence of two-electron quantum
states when a time independent perturbation is applied to a planar two-electron
quantum dot where both electrons are confined in an anharmonic potential. Even
though the Hamiltonian of this system is time independent the corresponding
differential equation shows a striking stiffness. For the one-dimensional
Gaussian potential we discuss in detail the possibility of monitoring the time
step for both explicit algorithms. In the other physical situations that are
much more demanding in term of computations, we show that the accuracy of both
algorithms depends strongly on the degree of stiffness of the problem.


title: Generalized T-splines and VMCR T-meshes

abstract:
  The paper considers the extension of the T-spline approach to the Generalized
B-splines (GB-splines), a relevant class of non-polynomial splines. The
Generalized T-splines (GT-splines) are based both on the framework of classical
polynomial T-splines and on the Trigonometric GT-splines (TGT-splines), a
particular case of GT-splines. Our study of GT-splines introduces a class of
T-meshes (named VMCR T-meshes) for which both the corresponding GT-splines and
the corresponding polynomial T-splines are linearly independent. A practical
characterization can be given for a sub-class of VMCR T-meshes, which we refer
to as weakly dual-compatible T-meshes, which properly includes the class of
dual-compatible (equivalently, analysis-suitable) T-meshes for an arbitrary
(polynomial) order.


title: On geometric methods in works by V.I.Arnold and V.V.Kozlov

abstract:
  We give a survey of geometric methods used in papers and books by V.I.Arnold
and by V.V.Kozlov. They are methods of different normal forms, of different
polyhedra, of small denominators and of asymptotic expansions.


title: Representation theory in complex rank, I

abstract:
  P. Deligne defined interpolations of the tensor category of representations
of the symmetric group S_n to complex values of n. Namely, he defined tensor
categories Rep(S_t) for any complex t. This construction was generalized by F.
Knop to the case of wreath products of S_n with a finite group. Generalizing
these results, we propose a method of interpolating representations categories
of various algebras containing S_n (such as degenerate affine Hecke algebras,
symplectic reflection algebras, rational Cherednik algebras, etc.) to complex
values of n. We also define the group algebra of S_n for complex n, study its
properties, and propose a Schur-Weyl duality for Rep(S_t). In version 2, same
more details have been added.


title:
On a class of convex sets with convex images and its application to
  nonconvex optimization

abstract:
  In the present paper, conditions under which the images of uniformly convex
sets through $C^{1,1}$ regular mappings between Banach spaces remain convex are
established. These conditions are expressed by a certain quantitative relation
betweeen the modulus of convexity of a given set and the global regularity
behaviour of the mapping on it. Such a result enables one to extend to a wide
subclass of convex sets the Polyak's convexity principle, which was originally
concerned with images of small balls around points of Hilbert spaces. In
particular, the crucial phenomenon of the preservation of convexity under
regular $C^{1,1}$ transformations is shown to include the class of $r$-convex
sets, where the value of $r$ depends on the regularity behaviour of the
involved transformation. Two consequences related to nonconvex optimization are
discussed: the first one is a sufficient condition for the global solution
existence for infinite-dimensional constrained extremum problems; the second
one provides a zero-order Lagrangian type characterization of optimality in
nonlinear mathematical programming.


title: NLO corrections to $\chi_{bJ}$ to two-$J/\psi$ exclusive decay processes

abstract:
  The next-to-leading order QCD corrections for $\chi_{bJ}$, the p-wave
bottomonium, to $J/\psi$ pair decay processes are evaluated utilizing NRQCD
factorization formalism. The scale dependence of $\chi_{b2}\rightarrow J/\psi
J/\psi$ process is depressed with NLO corrections, and hence the uncertainties
in the leading order results are greatly reduced. The total branch ratios are
found to be the order of $10^{-5}$ for all three $\chi_{bJ}\rightarrow J/\psi
J/\psi$ processes, indicating that they are observable in the LHC and super-B
experiments.


title:
Limits on surface gravities of Kepler planet-candidate host stars from
  non-detection of solar-like oscillations

abstract:
  We present a novel method for estimating lower-limit surface gravities log g
of Kepler targets whose data do not allow the detection of solar-like
oscillations. The method is tested using an ensemble of solar-type stars
observed in the context of the Kepler Asteroseismic Science Consortium. We then
proceed to estimate lower-limit log g for a cohort of Kepler solar-type
planet-candidate host stars with no detected oscillations. Limits on
fundamental stellar properties, as provided by this work, are likely to be
useful in the characterization of the corresponding candidate planetary
systems. Furthermore, an important byproduct of the current work is the
confirmation that amplitudes of solar-like oscillations are suppressed in stars
with increased levels of surface magnetic activity.


title: Safety verification of asynchronous pushdown systems with shaped stacks

abstract:
  In this paper, we study the program-point reachability problem of concurrent
pushdown systems that communicate via unbounded and unordered message buffers.
Our goal is to relax the common restriction that messages can only be retrieved
by a pushdown process when its stack is empty. We use the notion of partially
commutative context-free grammars to describe a new class of asynchronously
communicating pushdown systems with a mild shape constraint on the stacks for
which the program-point coverability problem remains decidable. Stacks that fit
the shape constraint may reach arbitrary heights; further a process may execute
any communication action (be it process creation, message send or retrieval)
whether or not its stack is empty. This class extends previous computational
models studied in the context of asynchronous programs, and enables the safety
verification of a large class of message passing programs.


title: On the Yudovich solutions for the ideal MHD equations

abstract:
  In this paper, we address the problem of weak solutions of Yudovich type for
the inviscid MHD equations in two dimensions. The local-in-time existence and
uniqueness of these solutions sound to be hard to achieve due to some terms
involving Riesz transforms in the vorticity-current formulation. We shall prove
that the vortex patches with smooth boundary offer a suitable class of initial
data for which the problem can be solved. However this is only done under a
geometric constraint by assuming the boundary of the initial vorticity to be
frozen in a magnetic field line.
  We shall also discuss the stationary patches for the incompressible Euler
system $(E)$ and the MHD system. For example, we prove that a stationary simply
connected patch with rectifiable boundary for the system $(E)$ is necessarily
the characteristic function of a disc.


title:
A Fourier Pseudospectral Method for the "Good" Boussinesq Equation with
  Second Order Temporal Accuracy

abstract:
  In this paper, we discuss the nonlinear stability and convergence of a fully
discrete Fourier pseudospectral method coupled with a specially designed second
order time-stepping for the numerical solution of the "good" Boussinesq
equation. Our analysis improves the existing results presented in earlier
literature in two ways. First, an $l_\infty(0, T^*; H2)$ convergence for the
solution and $l_\infty(0, T^*; l_2)$ convergence for the time-derivative of the
solution are obtained in this paper, instead of the $l_\infty(0, T^*; l_2)$
convergence for the solution and the $l_\infty(0, T^*; H^{-2})$ convergence for
the time-derivative, given in [17]. In addition, the stability and convergence
of this method is shown to be unconditional for the time step in terms of the
spatial grid size, compared with a severe restriction time step restriction
$\Delta t \leq Ch^2$ reported in [17].


title: Time-resolved photoemission using attosecond streaking

abstract:
  We theoretically study time-resolved photoemission in atoms as probed by
attosecond streaking. We review recent advances in the study of the
photoelectric effect in the time domain and show that the experimentally
accessible time shifts can be decomposed into distinct contributions that stem
from the field-free photoionization process itself and from probe-field induced
corrections. We perform accurate quantum-mechanical as well as classical
simulations of attosecond streaking for effective one-electron systems and
determine all relevant contributions to the time delay with attosecond
precision. In particular, we investigate the properties and limitations of
attosecond streaking for the transition from short-ranged potentials
(photodetachment) to long-ranged Coulomb potentials (photoionization). As an
example for a more complex system, we study time-resolved photoionization for
endohedral fullerenes $A$@$\text{C}_{60}$ and discuss how streaking time shifts
are modified due to the interaction of the $\text{C}_{60}$ cage with the
probing infrared streaking field.


title: A family of non-sofic beta expansions

abstract:
  Let \beta_n>1 be a root of x^n-x-1 for n=4,5,... We will prove that \beta_n
is not a Parry number, i.e., the associated beta transformation does not
correspond a sofic symbolic system. A generalization is shown in the last
section.


title: A Statistical Parsing Framework for Sentiment Classification

abstract:
  We present a statistical parsing framework for sentence-level sentiment
classification in this article. Unlike previous works that employ syntactic
parsing results for sentiment analysis, we develop a statistical parser to
directly analyze the sentiment structure of a sentence. We show that
complicated phenomena in sentiment analysis (e.g., negation, intensification,
and contrast) can be handled the same as simple and straightforward sentiment
expressions in a unified and probabilistic way. We formulate the sentiment
grammar upon Context-Free Grammars (CFGs), and provide a formal description of
the sentiment parsing framework. We develop the parsing model to obtain
possible sentiment parse trees for a sentence, from which the polarity model is
proposed to derive the sentiment strength and polarity, and the ranking model
is dedicated to selecting the best sentiment tree. We train the parser directly
from examples of sentences annotated only with sentiment polarity labels but
without any syntactic annotations or polarity annotations of constituents
within sentences. Therefore we can obtain training data easily. In particular,
we train a sentiment parser, s.parser, from a large amount of review sentences
with users' ratings as rough sentiment polarity labels. Extensive experiments
on existing benchmark datasets show significant improvements over baseline
sentiment classification approaches.


title:
Mechanically induced pseudo-magnetic fields in the excitonic fine
  structures of droplet epitaxial quantum dots

abstract:
  We present numerical investigations based on the Luttinger-Kohn four-band $k
\cdot p$ theory and, accordingly, establish a quantitatively valid model of the
excitonic fine structures of droplet epitaxial GaAs/AlGaAs quantum dots under
uni-axial stress control. In the formalisms, stressing a photo-excited quantum
dot is equivalent creating a pseudo-magnetic field that is directly coupled to
the pseudo-spin of the exciton doublet and tunable to tailor the polarized fine
structure of exciton. The latter feature is associated with the
valence-band-mixing of exciton that is especially sensitive to external stress
in inherently unstrained droplet epitaxial GaAs/AlGaAs quantum dots and allows
us to mechanically design and prepare any desired exciton states of QD photon
sources prior to the photon generation.


title: Dynamical evolution of V-type asteroids in the central main belt

abstract:
  V-type asteroids are associated with basaltic composition, and are supposed
to be fragments of crust of differentiated objects. Most V-type asteroids in
the main belt are found in the inner main belt, and are either current members
of the Vesta dynamical family (Vestoids), or past members that drifted away.
However, several V-type photometric candidates have been recently identified in
the central and outer main belt.
  The origin of this large population of V-type objects is not well understood.
Since it seems unlikely that Vestoids crossing the 3J:-1A mean-motion resonance
with Jupiter could account for the whole population of V-type asteroids in the
central and outer main belt, origin from local sources, such as the parent
bodies of the Eunomia, and of the Merxia and Agnia asteroid families, has been
proposed as an alternative mechanism.
  In this work we investigated the dynamical evolution of the V-type
photometric candidates in the central main belt, under the effect of
gravitational and non-gravitational forces. Our results show that dynamical
evolution from the parent bodies of the Eunomia and Merxia/Agnia families on
timescales of 2 Byr or more could be responsible for the current orbital
location of most of the low-inclined V-type asteroids.


title:
The Sampling-and-Learning Framework: A Statistical View of Evolutionary
  Algorithms

abstract:
  Evolutionary algorithms (EAs), a large class of general purpose optimization
algorithms inspired from the natural phenomena, are widely used in various
industrial optimizations and often show excellent performance. This paper
presents an attempt towards revealing their general power from a statistical
view of EAs. By summarizing a large range of EAs into the sampling-and-learning
framework, we show that the framework directly admits a general analysis on the
probable-absolute-approximate (PAA) query complexity. We particularly focus on
the framework with the learning subroutine being restricted as a binary
classification, which results in the sampling-and-classification (SAC)
algorithms. With the help of the learning theory, we obtain a general upper
bound on the PAA query complexity of SAC algorithms. We further compare SAC
algorithms with the uniform search in different situations. Under the
error-target independence condition, we show that SAC algorithms can achieve
polynomial speedup to the uniform search, but not super-polynomial speedup.
Under the one-side-error condition, we show that super-polynomial speedup can
be achieved. This work only touches the surface of the framework. Its power
under other conditions is still open.


title:
Radio-photoluminescence of highly irradiated LiF:Mg,Ti and LiF:Mg,Cu,P
  detectors

abstract:
  The radio-photoluminescent (RPL) characteristics of LiF:Mg,Ti (MTS) and
LiF:Mg,Cu,P (MCP) thermoluminescent detectors, routinely used in radiation
protection dosimetry, were investigated after irradiation with ultra-high
electron doses ranging up to 1 MGy. The photoluminescence of both types of LiF
detectors was stimulated by a blue light (460 nm) and measured within a
spectral window around 530 nm. The RPL dose response was found to be linear up
to 50 kGy and sublinear in the range of 50 kGy to 1 MGy for MCP detectors and
linear up to 3 kGy and next sublinear in the range from 5 kGy to 1 MGy for MTS
detectors. For both type of LiF detectors RPL signal is saturated for doses
higher than 100 kGy. The observed differences between MCP and MTS may suggest,
that the RPL effect in LiF is not entirely governed by intrinsic defects (F2
and F3+ centers), but impurities may also have a significant influence. Due to
the non-destructive character of the RPL measurement, it is suggested to apply
combined RPL/TL readouts, what should improve accuracy of high-dose dosimetry.


title:
From the Ising and Potts models to the general graph homomorphism
  polynomial

abstract:
  In this note we study some of the properties of the generating polynomial for
homomorphisms from a graph to at complete weighted graph on $q$ vertices. We
discuss how this polynomial relates to a long list of other well known graph
polynomials and the partition functions for different spin models, many of
which are specialisations of the homomorphism polynomial.
  We also identify the smallest graphs which are not determined by their
homomorphism polynomials for $q=2$ and $q=3$ and compare this with the
corresponding minimal examples for the $U$-polynomial, which generalizes the
well known Tutte-polynomal.


title: A Fluid Approach for Poisson Wireless Networks

abstract:
  Among the different models of networks usually considered, the hexagonal
network model is the most popular. However, it requires extensive numerical
computations. The Poisson network model, for which the base stations (BS)
locations form a spatial Poisson process, allows to consider a non constant
distance between base stations. Therefore, it may characterize more
realistically operational networks. The Fluid network model, for which the
interfering BS are replaced by a continuum of infinitesimal interferers, allows
to establish closed-form formula for the SINR (Signal on Interference plus
Noise Ratio). This model was validated by comparison with an hexagonal network.
The two models establish very close results. As a consequence, the Fluid
network model can be used to analyze hexagonal networks. In this paper, we show
that the Fluid network model can also be used to analyze Poisson networks.
Therefore, the analysis of performance and quality of service becomes very
easy, whatever the type of network model, by using the analytical expression of
the SINR established by considering the Fluid network model.


title:
A Constraint Solving Approach to Tropical Equilibration and Model
  Reduction

abstract:
  Model reduction is a central topic in systems biology and dynamical systems
theory, for reducing the complexity of detailed models, finding important
parameters, and developing multi-scale models for instance. While perturbation
theory is a standard mathematical tool to analyze the different time scales of
a dynamical system, and decompose the system accordingly, tropical methods
provide a simple algebraic framework to perform these analyses systematically
in polynomial systems. The crux of these tropicalization methods is in the
computation of tropical equilibrations. In this paper we show that
constraint-based methods, using reified constraints for expressing the
equilibration conditions, make it possible to numerically solve non-linear
tropical equilibration problems, out of reach of standard computation methods.
We illustrate this approach first with the reduction of simple biochemical
mechanisms such as the Michaelis-Menten and Goldbeter-Koshland models, and
second, with performance figures obtained on a large scale on the model
repository \texttt{biomodels.net}


title: Encoding Tasks and R\'enyi Entropy

abstract:
  A task is randomly drawn from a finite set of tasks and is described using a
fixed number of bits. All the tasks that share its description must be
performed. Upper and lower bounds on the minimum $\rho$-th moment of the number
of performed tasks are derived. The case where a sequence of tasks is produced
by a source and $n$ tasks are jointly described using $nR$ bits is considered.
If $R$ is larger than the R\'enyi entropy rate of the source of order
$1/(1+\rho)$ (provided it exists), then the $\rho$-th moment of the ratio of
performed tasks to $n$ can be driven to one as $n$ tends to infinity. If $R$ is
smaller than the R\'enyi entropy rate, this moment tends to infinity. The
results are generalized to account for the presence of side-information. In
this more general setting, the key quantity is a conditional version of R\'enyi
entropy that was introduced by Arimoto. For IID sources two additional
extensions are solved, one of a rate-distortion flavor and the other where
different tasks may have different nonnegative costs. Finally, a divergence
that was identified by Sundaresan as a mismatch penalty in the Massey-Arikan
guessing problem is shown to play a similar role here.


title: Dynamics of cosmological scalar fields

abstract:
  The background dynamical evolution of a universe filled with matter and a
cosmological scalar field is analyzed employing dynamical system techniques.
After the phenomenology of a canonical scalar field with exponential potential
is revised, square and square root kinetic corrections to the scalar field
canonical Lagrangian are considered and the resulting dynamics at cosmological
distances is obtained and studied. These noncanonical cosmological models imply
new interesting phenomenology including early time matter dominated solutions,
cosmological scaling solutions and late time phantom dominated solutions with
dynamical crossing of the phantom barrier. Stability and viability issues for
these scalar fields are presented and discussed.


title:
Rheology of athermal amorphous solids: Revisiting simplified scenarios
  and the concept of mechanical noise temperature

abstract:
  We study the rheology of amorphous solids in the limit of negligible thermal
fluctuations. On the basis of general arguments, the flow curve is shown to
result from an interplay between the time scales of the macroscopic driving and
the (cascades of) local particle rearrangements. Such rearrangements are known
to induce a redistribution of the elastic stress in the system. Although
mechanical noise, i.e., the local stress fluctuations arising from this
redistribution, is widely believed to activate new particle rearrangements, we
provide evidence that casts severe doubt on the analogy with thermal
fluctuations: mechanical and thermal fluctuations lead to asymptotically
different statistics for barrier crossing. These ideas are illustrated and
supported by a simple coarse-grained model whose ingredients are directly
connected with the physical processes relevant for the flow.


title: H\"older Regularity of Geometric Subdivision Schemes

abstract:
  We present a framework for analyzing non-linear $\mathbb{R}^d$-valued
subdivision schemes which are geometric in the sense that they commute with
similarities in $\mathbb{R}^d$. It admits to establish
$C^{1,\alpha}$-regularity for arbitrary schemes of this type, and
$C^{2,\alpha}$-regularity for an important subset thereof, which includes all
real-valued schemes. Our results are constructive in the sense that they can be
verified explicitly for any scheme and any given set of initial data by a
universal procedure. This procedure can be executed automatically and
rigorously by a computer when using interval arithmetics.