title: The Dark Matter Halo of the Milky Way, AD 2013

abstract:
  We derive the mass model of the Milky Way (MW) using a cored dark matter (DM)
halo profile and recent data. The method used consists in fitting a spherically
symmetric model of the Galaxy with a Burkert DM halo profile to available data:
MW terminal velocities in the region inside the solar circle, circular velocity
as recently estimated from maser star forming regions at intermediate radii,
and velocity dispersions of stellar halo tracers for the outermost Galactic
region. The latter are reproduced by integrating the Jeans equation for every
modeled mass distribution, and by allowing for different velocity anisotropies
for different tracer populations. For comparison we also consider a
Navarro-Frenk-White profile. We find that the cored profile is the preferred
one, with a shallow central density of rho_H~4x10^7M_s/kpc^3 and a large core
radius R_H~10 kpc, as observed in external spirals and in agreement with the
mass model underlying the Universal Rotation Curve of spirals. We describe also
the derived model uncertainties, which are crucially driven by the poorly
constrained velocity dispersion anisotropies of halo tracers. The emerging
cored DM distribution has implications for the DM annihilation angular profile,
which is much less boosted in the Galactic center direction with respect to the
case of the standard \Lambda CDM, NFW profile. Using the derived uncertainties
we discuss finally the limitations and prospects to discriminate between cored
and cusped DM profile with a possible observed diffuse DM annihilation signal.
The present mass model aims to characterize the present-day description of the
distribution of matter in our Galaxy, which is needed to frame current crucial
issues of Cosmology, Astrophysics and Elementary Particles.


title:
Tomographic reconstruction of molecular orbitals with twofold mirror
  antisymmetry: overcoming the nodal plane problem

abstract:
  We propose a new method to overcome the nodal plane problem for the
tomographic reconstruction of molecular orbitals with twofold mirror
antisymmetry in the length form based on high-order harmonic generation. It is
shown that, by carrying out the reconstruction procedure in the rotating
laboratory frame using the component of the dipole moment parallel to the
electron recollision direction, the nodal plane problem is avoided and the
target orbital is successfully reconstructed. Moreover, it is found that, the
proposed method can completely avoid the additional artificial lobes found in
the results from the traditional method in the velocity form and therefore
provides a more reliable reproduction of the target orbital.


title:
Alloying effect on the ideal tensile strength of ferromagnetic and
  paramagnetic bcc iron

abstract:
  Using \emph{ab initio} alloy theory formulated within the exact muffin-tin
orbitals theory in combination with the coherent potential approximation, we
investigate the ideal tensile strength (ITS) in the $[001]$ direction of bcc
ferro-/ferrimagnetic (FFM) and paramagnetic (PM) Fe$_{1-x}M_{x}$ ($M=$ Al, V,
Cr, Mn, Co, or Ni) random alloys. The ITS of ferromagnetic (FM) Fe is
calculated to be $12.6$\,GPa, in agreement with available data, while the PM
phase turns out to posses a significantly lower value of $0.7\,$GPa. Alloyed to
the FM matrix, we predict that V, Cr, and Co increase the ITS of Fe, while Al
and Ni decrease it. Manganese yields a weak non-monotonic alloying behavior. In
comparison to FM Fe, the alloying effect of Al and Co to PM Fe is reversed and
the relative magnitude of the ITS can be altered more strongly for any of the
solutes. All considered binaries are intrinsically brittle and fail by cleavage
of the $(001)$ planes under uniaxial tensile loading in both magnetic phases.
We show that the previously established ITS model based on structural energy
differences proves successful in the PM Fe-alloys but is of limited use in the
case of the FFM Fe-based alloys. The different performance is attributed to the
specific interplay between magnetism and volume change in response to uniaxial
tension. We establish a strong correlation between the compositional effect on
the ITS and the one on the shear elastic constant $C'$ for the PM alloys and
briefly discuss the relation between hardenability and the ITS.


title: Non-Stationarity in Financial Time Series and Generic Features

abstract:
  Financial markets are prominent examples for highly non-stationary systems.
Sample averaged observables such as variances and correlation coefficients
strongly depend on the time window in which they are evaluated. This implies
severe limitations for approaches in the spirit of standard equilibrium
statistical mechanics and thermodynamics. Nevertheless, we show that there are
similar generic features which we uncover in the empirical return distributions
for whole markets. We explain our findings by setting up a random matrix model.


title: Bounds on the Principal Frequency of the $p$-Laplacian

abstract:
  This paper is concerned with the lower bounds for the principal frequency of
the $p$-Laplacian on $n$-dimensional Euclidean domains. In particular, we
extend the classical results involving the inner radius of a domain and the
first eigenvalue of the Laplace operator to the case $p\neq2$. As a by-product,
we obtain a lower bound on the size of the nodal set of an eigenfunction of the
$p$-Laplacian on planar domains.


title:
Intermittency in relation with 1/f noise and stochastic differential
  equations

abstract:
  One of the models of intermittency is on-off intermittency, arising due to
time-dependent forcing of a bifurcation parameter through a bifurcation point.
For on-off intermittency the power spectral density of the time-dependent
deviation from the invariant subspace in a low frequency region exhibits
1/\sqrt{f} power-law noise. Here we investigate a mechanism of intermittency,
similar to the on-off intermittency, occurring in nonlinear dynamical systems
with invariant subspace. In contrast to the on-off intermittency, we consider
the case where the transverse Lyapunov exponent is zero. We show that for such
nonlinear dynamical systems the power spectral density of the deviation from
the invariant subspace can have 1/f^\beta form in a wide range of frequencies.
That is, such nonlinear systems exhibit 1/f noise. The connection with the
stochastic differential equations generating 1/f^\beta noise is established and
analyzed, as well.


title: Leggett-Garg Inequalities

abstract:
  In contrast to the spatial Bell's inequalities, which probe entanglement
between spatially-separated systems, the Leggett-Garg inequalities test the
correlations of a single system measured at different times. Violation of a
genuine Leggett-Garg test implies either the absence of a realistic description
of the system or the impossibility of measuring the system without disturbing
it. Quantum mechanics violates the inequalities on both accounts and the
original motivation for these inequalities was as a test for quantum coherence
in macroscopic systems. The last few years has seen a number of experimental
tests and violations of these inequalities in a variety of microscopic systems
such as superconducting qubits, nuclear spins, and photons. In this article, we
provide an introduction to the Leggett-Garg inequalities and review these
latest experimental developments. We discuss important topics such as the
significance of the non-invasive measurability assumption, the clumsiness
loophole, and the role of weak measurements. Also covered are some recent
theoretical proposals for the application of Leggett-Garg inequalities in
quantum transport, quantum biology and nano-mechanical systems.


title:
Characterization of fiducial states in prime dimensions via mutually
  unbiased bases

abstract:
  In this work we present some new properties of fiducial states in prime
dimensions. We parameterize fiducial operators on eigenvectors bases of
displacement operators, which allows us to find a manifold $\Omega$ of
hermitian operators satisfying $\mathrm{Tr}(\rho)=\mathrm{Tr}(\rho^2)=1$ for
any $\rho$ in $\Omega$. This manifold contains the complete set of fiducial
pure states in every prime dimension. Indeed, any quantum state $\rho\geq0$
belonging to $\Omega$ is a fiducial pure state. Also, we present an upper bound
for every probability associated to mutually unbiased decomposition of fiducial
states. This bound allows us to prove that every fiducial state tends to be
mutually unbiased to the maximal set of mutually unbiased bases in higher prime
dimensions. Finally, we show that any $\rho$ in $\Omega$ minimizes an entropic
uncertainty principle related to the second order R\'enyi entropy.


title: Polish G-spaces and continuous logic

abstract:
  We analyse logic actions of Polish groups which arise in continuous logic. We
extend the generalised model theory of H.Becker to the case of Polish G-spaces
when G is an arbitrary Polish group.


title:
Properties of dense cores in clustered massive star-forming regions at
  high angular resolution

abstract:
  We aim at characterising dense cores in the clustered environments associated
with massive star-forming regions. For this, we present an uniform analysis of
VLA NH3(1,1) and (2,2) observations towards a sample of 15 massive star-forming
regions, where we identify a total of 73 cores, classify them as protostellar,
quiescent starless, or perturbed starless, and derive some physical properties.
The average sizes and ammonia column densities are 0.06 pc and 10^15 cm^-2,
respectively, with no significant differences between the starless and
protostellar cores, while the linewidth and rotational temperature of quiescent
starless cores are smaller, 1.0 km/s and 16 K, than those of protostellar (1.8
km/s, 21 K), and perturbed starless (1.4 km/s, 19 K) cores. Such linewidths and
temperatures for these quiescent starless cores in the surroundings of massive
stars are still significantly larger than the typical values measured in
starless cores of low-mass star-forming regions, implying an important
non-thermal component. We confirm at high angular resolutions the correlations
previously found with single-dish telescopes between the linewidth, the
temperature of the cores, and the bolometric luminosity. In addition, we find a
correlation between the temperature of each core and the incident flux from the
most massive star in the cluster, suggesting that the large temperatures
measured in the starless cores of our sample could be due to heating from the
nearby massive star. A simple virial equilibrium analysis seems to suggest a
scenario of a self-similar, self-graviting, turbulent, virialised hierarchy of
structures from clumps (0.1-10 pc) to cores (0.05 pc). A closer inspection of
the dynamical state taking into account external pressure effects, reveal that
relatively strong magnetic field support may be needed to stabilise the cores,
or that they are unstable and thus on the verge of collapse.


title: On instanton homology of corks W_n

abstract:
  We consider a family of corks, denoted $W_n$, constructed by Akbulut and
Yasui. Each cork gives rise to an exotic structure on a smooth 4-manifold via a
twist $\tau$ on its boundary $\Sigma_n = \partial W_n$. We compute the
instanton Floer homology of $\Sigma_n$ and show that the map induced on the
instanton Floer homology by $\tau: \Sigma_n \rightarrow \Sigma_n$ is
non-trivial.


title: Photon counting by inertial and accelerated detectors

abstract:
  Bases of exactly localized Minkowski and Rindler states on spacelike
hypersurfaces are used to describe inertial and accelerated photon counting
devices. It is found that the spacetime coordinates of photons absorbed by a
pair of counteraccelerating detectors in causally disconnected Rindler wedges
are correlated. If a photon is absorbed by a single accelerated detector the
Minkowski vacuum collapses to a state containing at least one photon and that
photon can be absorbed by an inertial detector.


title:
Properties of pulsed-laser deposited nanocomposite NiO:Au thin films for
  gas sensing applications

abstract:
  Nanocomposite thin films formed by gold nanoparticles embedded in a nickel
oxide matrix have been synthesized by a new variation of the pulsed laser
deposition technique. Two actively synchronized laser sources, a KrF excimer
laser at 248 nm and an Nd:YAG laser at 355 nm, were used for the simultaneous
ablation of nickel and gold targets in oxygen ambient. The structural,
morphological, and electrical properties of the obtained nanocomposite films
were investigated in relation to the fluence of the laser irradiating the gold
target. The nanocomposite thin films were tested as electrochemical hydrogen
sensors. It was found that the addition of the gold nanoparticles increased the
sensor sensitivity significantly.


title:
MinMax-Profiles: A Unifying View of Common Intervals, Nested Common
  Intervals and Conserved Intervals of K Permutations

abstract:
  Common intervals of K permutations over the same set of n elements were
firstly investigated by T. Uno and M.Yagiura (Algorithmica, 26:290:309, 2000),
who proposed an efficient algorithm to find common intervals when K=2. Several
particular classes of intervals have been defined since then, e.g. conserved
intervals and nested common intervals, with applications mainly in genome
comparison. Each such class, including common intervals, led to the development
of a specific algorithmic approach for K=2, and - except for nested common
intervals - for its extension to an arbitrary K.
  In this paper, we propose a common and efficient algorithmic framework for
finding different types of common intervals in a set P of K permutations, with
arbitrary K. Our generic algorithm is based on a global representation of the
information stored in P, called the MinMax-profile of P, and an efficient data
structure, called an LR-stack, that we introduce here. We show that common
intervals (and their subclasses of irreducible common intervals and same-sign
common intervals), nested common intervals (and their subclass of maximal
nested common intervals) as well as conserved intervals (and their subclass of
irreducible conserved intervals) may be obtained by appropriately setting the
parameters of our algorithm in each case. All the resulting algorithms run in
O(Kn+N)-time and need O(n) additional space, where N is the number of
solutions. The algorithms for nested common intervals and maximal nested common
intervals are new for K>2, in the sense that no other algorithm has been given
so far to solve the problem with the same complexity, or better. The other
algorithms are as efficient as the best known algorithms.


title:
Single-electron Double Quantum Dot Dipole-coupled to a Single Photonic
  Mode

abstract:
  We have realized a hybrid solid-state quantum device in which a
single-electron semiconductor double quantum dot is dipole coupled to a
superconducting microwave frequency transmission line resonator. The dipolar
interaction between the two entities manifests itself via dispersive and
dissipative effects observed as frequency shifts and linewidth broadenings of
the photonic mode respectively. A Jaynes-Cummings Hamiltonian master equation
calculation is used to model the combined system response and allows for
determining both the coherence properties of the double quantum dot and its
interdot tunnel coupling with high accuracy. The value and uncertainty of the
tunnel coupling extracted from the microwave read-out technique are compared to
a standard quantum point contact charge detection analysis. The two techniques
are found to be consistent with a superior precision for the microwave
experiment when tunneling rates approach the resonator eigenfrequency.
Decoherence properties of the double dot are further investigated as a function
of the number of electrons inside the dots. They are found to be similar in the
single-electron and many-electron regimes suggesting that the density of the
confinement energy spectrum plays a minor role in the decoherence rate of the
system under investigation.


title:
Fourier coefficients of invariant random fields on homogeneous spaces of
  compact groups

abstract:
  Let $T$ be a random field invariant under the action of a compact group $G$.
In the line of previous work we investigate properties of the Fourier
coefficients as orthogonality and Gaussianity. In particular we give conditions
ensuring that independence of the random Fourier coefficients implies
Gaussianity. As a consequence, in general, it is not possible to simulate a
non-Gaussian invariant random field through its Fourier expansion using
independent coefficients.


title:
Instability crossover of helical shear flow in segregated Bose-Einstein
  condensates

abstract:
  We theoretically study the instability of helical shear flows, in which one
fluid component flows along the vortex core of the other, in phase-separated
two-component Bose-Einstein condensates at zero temperature. The helical shear
flows are hydrodynamically classified into two regimes: (1) a helical vortex
sheet, where the vorticity is localized on the cylindrical interface and the
stability is described by an effective theory for ripple modes, and (2) a
core-flow vortex with the vorticity distributed in the vicinity of the vortex
core, where the instability phenomena are dominated only by the
vortex-characteristic modes: Kelvin and varicose modes. The helical shear-flow
instability shows remarkable competition among different types of instabilities
in the crossover regime between the two regimes.


title:
Locally normal subgroups of totally disconnected groups. Part I: General
  theory

abstract:
  Let G be a totally disconnected, locally compact group. A closed subgroup of
G is locally normal if its normaliser is open in G. We begin an investigation
of the structure of the family of closed locally normal subgroups of G. Modulo
commensurability, this family forms a modular lattice, called the structure
lattice of G. We show that G admits a canonical maximal quotient H for which
the quasi-centre and the abelian locally normal subgroups are trivial. In this
situation the structure lattice of H has a canonical subset called the
centraliser lattice, forming a Boolean algebra whose elements correspond to
centralisers of locally normal subgroups. If H is second-countable and acts
faithfully on its centraliser lattice, we show that the topology of H is
determined by its algebraic structure (and thus invariant by every abstract
group automomorphism), and also that the action on the Stone space of the
centraliser lattice is universal for a class of actions on profinite spaces.
Most of the material is developed in the more general framework of Hecke pairs.


title:
A theoretical framework of vorticity dynamics for two dimensional flows
  on fixed smooth surfaces

abstract:
  Two dimensional flows on fixed smooth surfaces have been studied in the point
of view of vorticity dynamics. Firstly, the related deformation theory
including kinematics and kinetics is developed. Secondly, some primary
relations in vorticity dynamics have been extended to two dimensional flows on
fixed smooth surface through which a theoretical framework of vorticity
dynamics have been set up, mainly including governing equation of vorticity,
Lagrange theorem on vorticity, Caswell formula on strain tensor and stream
function & vorticity algorithm with pressure Possion equation for
incompressible flows. The newly developed theory is characterized by the
appearances of surface curvatures in some primary relations and governing
equations.


title: Multiplicative sub-Hodge structures of conjugate varieties

abstract:
  For any subfield K of the complex numbers which is not contained in an
imaginary quadratic number field, we construct conjugate varieties whose
algebras of K-rational (p,p)-classes are not isomorphic. This compares to the
Hodge conjecture which predicts isomorphisms when K is contained in an
imaginary quadratic number field; additionally, it shows that the complex Hodge
structure on the complex cohomology algebra is not invariant under the
Aut(\C)-action on varieties. In our proofs, we find simply connected conjugate
varieties whose multilinear intersection forms on their second real cohomology
groups are not (weakly) isomorphic. Using these, we detect non-homeomorphic
conjugate varieties for any fundamental group and in any birational equivalence
class of dimension at least 10.


title: Removability of time-dependent singularities in the heat equation

abstract:
  We consider solutions of the linear heat equation with time-dependent
singularities. It is shown that if a singularity is weaker than the order of
the fundamental solution of the Laplace equation, then it is removable. We also
consider the removability of higher dimensional singular sets. An example of a
non-removable singularity is given, which implies the optimality of the
condition for removability.


title:
AC loss calculation in coated conductor coils with a large number of
  turns

abstract:
  For superconducting coils with many turns, it is widely believed that the
magnetic field from magnetization currents is negligible compared to the one
generated by the whole coil. This article shows that this is not true for coils
with a considerably large number of turns (up to thousands). We introduce a
method to accurately calculate the AC loss in coils with virtually any number
of turns that takes the magnetization currents into account. The current
density and AC loss is analyzed for two windings made of coated conductor
consisting of 32 pancake coils totaling 768 and 6400 turns, respectively.


title:
Assignment Games with Conflicts: Price of Total Anarchy and Convergence
  Results via Semi-Smoothness

abstract:
  We study assignment games in which jobs select machines, and in which certain
pairs of jobs may conflict, which is to say they may incur an additional cost
when they are both assigned to the same machine, beyond that associated with
the increase in load. Questions regarding such interactions apply beyond
allocating jobs to machines: when people in a social network choose to align
themselves with a group or party, they typically do so based upon not only the
inherent quality of that group, but also who amongst their friends (or enemies)
choose that group as well. We show how semi-smoothness, a recently introduced
generalization of smoothness, is necessary to find tight or near-tight bounds
on the price of total anarchy, and thus on the quality of correlated and Nash
equilibria, for several natural job-assignment games with interacting jobs. For
most cases, our bounds on the price of total anarchy are either exactly 2 or
approach 2. We also prove new convergence results implied by semi-smoothness
for our games. Finally we consider coalitional deviations, and prove results
about the existence and quality of Strong equilibrium.


title:
The Least Degraded and the Least Upgraded Channel with respect to a
  Channel Family

abstract:
  Given a family of binary-input memoryless output-symmetric (BMS) channels
having a fixed capacity, we derive the BMS channel having the highest (resp.
lowest) capacity among all channels that are degraded (resp. upgraded) with
respect to the whole family. We give an explicit characterization of this
channel as well as an explicit formula for the capacity of this channel.


title:
Highly Eccentric Kozai Mechanism and Gravitational-Wave Observation for
  Neutron Star Binaries

abstract:
  The Kozai mechanism for a hierarchical triple system could reduce the merger
time of inner eccentric binary emitting gravitational waves (GWs), and has been
qualitatively explained with the secular theory that is derived by averaging
short-term orbital revolutions. However, with the secular theory, the minimum
value of the inner pericenter distance could be excessively limited by the
averaging operation. Compared with traditional predictions, the actual
evolution of an eccentric inner binary could be accompanied by (i) a higher
characteristic frequency of the pulse-like GWs around its pericenter passages,
and (ii) a larger residual eccentricity at its final inspiral phase. These
findings would be important for GW astronomy with the forthcoming advanced
detectors.


title: Blow up and Blur constructions in Algebraic Logic

abstract:
  The idea in the title is to blow up a finite structure, replacing each
'colour or atom' by infinitely many, using blurs to represent the resulting
term algebra, but the blurs are not enough to blur the structure of the finite
structure in the complex algebra. Then, the latter cannot be representable due
to a {finite- infinite} contradiction. This structure can be a finite clique in
a graph or a finite relation algebra or a finite cylindric algebra. This theme
gives examples of weakly representable atom structures that are not strongly
representable. Many constructions existing in the literature are placed in a
rigorous way in such a framework, properly defined.
  This is the essence too of construction of Monk like-algebras, one constructs
graphs with finite colouring (finitely many blurs), converging to one with
infinitely many, so that the original algebra is also blurred at the complex
algebra level, and the term algebra is completey representable, yielding a
representation of its completion the complex algebra.
  A reverse of this process exists in the literature, it builds algebras with
infinite blurs converging to one with finite blurs. This idea due to Hirsch and
Hodkinson, uses probabilistic methods of Erdos to construct a sequence of
graphs with infinite chromatic number one that is 2 colourable. This
construction, which works for both relation and cylindric algebras, further
shows that the class of strongly representable atom structures is not
elementary.


title: A composition theorem for bisimulation functions

abstract:
  The standard engineering approach to modelling of complex systems is highly
compositional. In order to be able to understand (or to control) the behavior
of a complex dynamical systems, it is often desirable, if not necessary, to
view this system as an interconnection of smaller interacting subsystems, each
of these subsystems having its own functionalities. In this paper, we propose a
compositional approach to the computation of bisimulation functions for
dynamical systems. Bisimulation functions are quantitative generalizations of
the classical bisimulation relations. They have been shown useful for
simulation-based verification or for the computation of approximate symbolic
abstractions of dynamical systems. In this technical note, we present a
constructive result for the composition of bisimulation functions. For a
complex dynamical system consisting of several interconnected subsystems, it
allows us to compute a bisimulation function from the knowledge of a
bisimulation function for each of the subsystem.


title:
Uncovering multiple Wolf-Rayet star-clusters and the ionized ISM in
  Mrk178: the closest metal-poor Wolf-Rayet HII galaxy

abstract:
  New integral field spectroscopy (IFS) has been obtained for the nearby
metal-poor WR galaxy Mrk178 to examine the spatial correlation between its WR
stars and the neighbouring ionized ISM. The strength of the broad WR features
and its low metallicity make Mrk178 an intriguing object. We have detected the
blue and red WR bumps in different locations across the FOV (~ 300 pc x 230 pc)
in Mrk178. The study of the WR content has been extended, for the first time,
beyond its brightest star-forming knot uncovering new WR star-clusters. Using
SMC/LMC-template WR stars we empirically estimate a minimum of ~ 20 WR stars
within the region sampled. Maps of the spatial distribution of the
emission-lines and of the physical-chemical properties of the ionized ISM have
been created and analyzed. Here we refine the statistical methodology by
Perez-Montero et al.(2011) to probe the presence of variations in the ISM
properties. An error-weighted mean of 12+log(O/H)=7.72 +/- 0.01 is taken as the
representative oxygen abundance for Mrk178. A localized N and He enrichment,
spatially correlated with WR stars, is suggested by this analysis. Nebular
HeII4686 emission is shown to be spatially extended reaching well beyond the
location of the WR stars. This spatial offset between WRs and HeII emission can
be explained based on the mechanical energy input into the ISM by the WR star
winds, and does not rule out WR stars as the HeII ionization source. We study
systematic aperture effects on the detection and measurement of the WR
features, using SDSS spectra combined with the power of IFS. In this regard,
the importance of targeting low metallicity nearby systems is discussed.


title:
A beyond-mean-field example with zero-range effective interactions in
  infinite nuclear matter

abstract:
  Zero-range effective interactions are commonly used in nuclear physics to
describe a many-body system in the mean-field framework. If they are employed
in beyond- mean-field models, an artificial ultraviolet divergence is generated
by the zero-range of the interaction. We analyze this problem in symmetric
nuclear matter with the t0-t3 Skyrme model. In this case, the second-order
energy correction diverges linearly with the momentum cutoff. After that, we
extend the work to the case of nuclear matter with the full Skyrme interaction.
A strong divergence related to the velocity-dependent terms of the interaction
is obtained. Moreover, a global fit can be simultaneously performed for both
symmetric and nuclear matter with different neutron-to-proton ratios. These
results pave the way for applications to finite nuclei in the framework of
beyond mean-field theories.


title: Option pricing, Bayes risks and Applications

abstract:
  A statistical decision problem is hidden in the core of option pricing. A
simple form for the price C of a European call option is obtained via the
minimum Bayes risk, R_B, of a 2-parameter estimation problem, thus justifying
calling C Bayes (B-)price. The result provides new insight in option pricing,
among others obtaining C for some stock-price models using the underlying
probability instead of the risk neutral probability and giving R_B an economic
interpretation. When logarithmic stock prices follow Brownian motion, discrete
normal mixture and hyperbolic Levy motion the obtained B-prices are "fair"
prices. A new expression for the price of American call option is also obtained
and statistical modeling of R_B can be used when pricing European and American
call options.


title: Mass-Radius Relationships for Very Low Mass Gaseous Planets

abstract:
  Recently, the Kepler spacecraft has detected a sizable aggregate of objects,
characterized by giant-planet-like radii and modest levels of stellar
irradiation. With the exception of a handful of objects, the physical nature,
and specifically the average densities, of these bodies remain unknown. Here,
we propose that the detected giant planet radii may partially belong to planets
somewhat less massive than Uranus and Neptune. Accordingly, in this work, we
seek to identify a physically sound upper limit to planetary radii at low
masses and moderate equilibrium temperatures. As a guiding example, we analyze
the interior structure of the Neptune-mass planet Kepler-30d and show that it
is acutely deficient in heavy elements, especially compared with its solar
system counterparts. Subsequently, we perform numerical simulations of
planetary thermal evolution and in agreement with previous studies, show that
generally, 10 - 20 Earth mass, multi-billion year old planets, composed of high
density cores and extended H/He envelopes can have radii that firmly reside in
the giant planet range. We subject our results to stability criteria based on
extreme ultraviolet radiation, as well as Roche-lobe overflow driven mass-loss
and construct mass-radius relationships for the considered objects. We conclude
by discussing observational avenues that may be used to confirm or repudiate
the existence of putative low mass, gas-dominated planets.


title: A Partition Temperley-Lieb Algebra

abstract:
  We introduce a generalization of the Temperley--Lieb algebra. This
generalization is defined by adding certain relations to the algebra of braids
and ties. A specialization of this last algebra corresponds to one small
Ramified Partition algebra, this fact is the motivation for the name of our
generalization.


title:
Interactive POMDP Lite: Towards Practical Planning to Predict and
  Exploit Intentions for Interacting with Self-Interested Agents

abstract:
  A key challenge in non-cooperative multi-agent systems is that of developing
efficient planning algorithms for intelligent agents to interact and perform
effectively among boundedly rational, self-interested agents (e.g., humans).
The practicality of existing works addressing this challenge is being
undermined due to either the restrictive assumptions of the other agents'
behavior, the failure in accounting for their rationality, or the prohibitively
expensive cost of modeling and predicting their intentions. To boost the
practicality of research in this field, we investigate how intention prediction
can be efficiently exploited and made practical in planning, thereby leading to
efficient intention-aware planning frameworks capable of predicting the
intentions of other agents and acting optimally with respect to their predicted
intentions. We show that the performance losses incurred by the resulting
planning policies are linearly bounded by the error of intention prediction.
Empirical evaluations through a series of stochastic games demonstrate that our
policies can achieve better and more robust performance than the
state-of-the-art algorithms.


title: Infinitely Log-monotonic Combinatorial Sequences

abstract:
  We introduce the notion of infinitely log-monotonic sequences. By
establishing a connection between completely monotonic functions and infinitely
log-monotonic sequences, we show that the sequences of the Bernoulli numbers,
the Catalan numbers and the central binomial coefficients are infinitely
log-monotonic. In particular, if a sequence $\{a_n\}_{n\geq 0}$ is
log-monotonic of order two, then it is ratio log-concave in the sense that the
sequence $\{a_{n+1}/a_{n}\}_{n\geq 0}$ is log-concave. Furthermore, we prove
that if a sequence $\{a_n\}_{n\geq k}$ is ratio log-concave, then the sequence
$\{\sqrt[n]{a_n}\}_{n\geq k}$ is strictly log-concave subject to a certain
initial condition. As consequences, we show that the sequences of the
derangement numbers, the Motzkin numbers, the Fine numbers, the central
Delannoy numbers, the numbers of tree-like polyhexes and the Domb numbers are
ratio log-concave. For the case of the Domb numbers $D_n$, we confirm a
conjecture of Sun on the log-concavity of the sequence
$\{\sqrt[n]{D_n}\}_{n\geq 1}$.


title:
Security of Decoy-State Protocols for General Photon-Number-Splitting
  Attacks

abstract:
  Decoy-state protocols provide a way to defeat photon-number splitting attacks
in quantum cryptography implemented with weak coherent pulses. We point out
that previous security analyses of such protocols relied on assumptions about
eavesdropping attacks that considered treating each pulse equally and
independently. We give an example to demonstrate that, without such
assumptions, the security parameters of previous decoy-state implementations
could be worse than the ones claimed. Next we consider more general
photon-number splitting attacks, which correlate different pulses, and give an
estimation procedure for the number of single photon signals with rigorous
security statements. The impact of our result is that previous analyses of the
number of times a decoy-state quantum cryptographic system can be reused before
it makes a weak key must be revised.


title: Elastic and Proton-Dissociative Photoproduction of J/psi Mesons at HERA

abstract:
  Cross sections for elastic and proton-dissociative photoproduction of J/psi
mesons are measured with the H1 detector in positron-proton collisions at HERA.
The data were collected at $ep$ centre-of-mass energies sqrt{s} approx 318 GeV
and sqrt{s} approx 225 GeV, corresponding to integrated luminosities of L = 130
pb^{-1} and L = 10.8 pb^{-1}, respectively. The cross sections are measured as
a function of the photon-proton centre-of-mass energy in the range 25< Wgp <
110 GeV. Differential cross sections $\mathrm{d}\sigma / \mathrm{d}t$, where
$t$ is the squared four-momentum transfer at the proton vertex, are measured in
the range $|t| < 1.2 \, \gevsq$ for the elastic process and $|t| < 8 \, \gevsq$
for proton dissociation. The results are compared to other measurements. The
$\Wgp$ and $t$-dependences are parametrised using phenomenological fits.


title:
Demonstrating that chlorine dioxide is a size-selective antimicrobial
  agent and high purity ClO2 can be used as a local antiseptic

abstract:
  Background / Aims ClO2, the so-called "ideal biocide", could also be applied
as an antiseptic if it was understood why the solution's rapid killing of
microbes does not cause any harm to humans or to animals. Our aim was to study
both theoretically and experimentally its reaction-diffusion mechanism to find
the source of that selectivity. Methods ClO2 permeation measurements through
protein membranes were performed and the time delay of ClO2 transport due to
reaction and diffusion was determined. To calculate ClO2 penetration depths and
estimate bacterial killing times, approximate solutions of the
reaction-diffusion equation were derived. Additionally, as a preliminary test,
three patients with infected wounds were treated with a 300 ppm high purity
ClO2 solution and the healing process was documented. Results The rate law of
the reaction-diffusion model predicts that the killing time is proportional to
the square of the characteristic size (e.g. diameter) of a body, thus, small
ones will be killed extremely fast. For example, the killing time for a
bacterium is on the order of milliseconds in a 300 ppm ClO2 solution. Thus, the
few minutes of contact time (owing to the volatility of ClO2) is quite enough
to kill all bacteria, but short enough to keep ClO2 penetration into the living
tissues safely below 0.1 mm, minimizing cytotoxic effects. Pictures of
successful wound healings confirm these considerations. Various properties of
ClO2, advantageous for an antiseptic, are also discussed. Most importantly,
bacteria are not able to develop resistance against ClO2 as it reacts with
biological thiols which play a vital role in all living organisms. Conclusion
Selectivity of ClO2 between humans and bacteria is based not on their different
biochemistry, but on their different size. Preliminary clinical results
encourage further research with this promising local antiseptic.


title: Dequantizing read-once quantum formulas

abstract:
  Quantum formulas, defined by Yao [FOCS '93], are the quantum analogs of
classical formulas, i.e., classical circuits in which all gates have fanout
one. We show that any read-once quantum formula over a gate set that contains
all single-qubit gates is equivalent to a read-once classical formula of the
same size and depth over an analogous classical gate set. For example, any
read-once quantum formula over Toffoli and single-qubit gates is equivalent to
a read-once classical formula over Toffoli and NOT gates. We then show that the
equivalence does not hold if the read-once restriction is removed. To show the
power of quantum formulas without the read-once restriction, we define a new
model of computation called the one-qubit model and show that it can compute
all boolean functions. This model may also be of independent interest.


title: The Hasse principle for systems of diagonal cubic forms

abstract:
  We establish the Hasse Principle for systems of r simultaneous diagonal cubic
equations whenever the number of variables exceeds 6r and the associated
coefficient matrix contains no singular r x r submatrix, thereby achieving the
theoretical limit of the circle method for such systems.


title:
A Primordial Origin for Misalignments Between Stellar Spin Axes and
  Planetary Orbits

abstract:
  The presence of gaseous giant planets whose orbits lie in extreme proximity
to their host stars ("hot Jupiters"), can largely be accounted for by planetary
migration, associated with viscous evolution of proto-planetary nebulae.
Recently, observations of the Rossiter-McLaughlin effect during planetary
transits have revealed that a considerable fraction of detected hot Jupiters
reside on orbits that are misaligned with respect to the spin-axes of their
host stars. This observational fact has cast significant doubts on the
importance of disk-driven migration as a mechanism for production of hot
Jupiters, thereby reestablishing the origins of close-in planetary orbits as an
open question. Here we show that misaligned orbits can be a natural consequence
of disk migration. Our argument rests on an enhanced abundance of binary
stellar companions in star formation environments, whose orbital plane is
uncorrelated with the spin axes of the individual stars. We analyze the
dynamical evolution of idealized proto-planetary disks under perturbations from
massive distant bodies and demonstrate that the resulting gravitational torques
act to misalign the orbital planes of the disks relative to the spin poles of
their host stars. As a result, we predict that in the absence of strong
disk-host star angular momentum coupling or sufficient dissipation that acts to
realign the stellar spin axis and the planetary orbits, the fraction of
planetary systems (including systems of hot Neptunes and Super-Earths), whose
angular momentum vectors are misaligned with respect to their host-stars should
be commensurate with the rate of primordial stellar multiplicity.


title:
Chiral Y-junction of Luttinger liquid wires at strong coupling:
  fermionic representation

abstract:
  We calculate the conductances of a three-terminal junction set-up of spinless
Luttinger liquid wires threaded by a magnetic flux, allowing for different
interaction strength g_3 != g in the third wire. We employ the fermionic
representation in the scattering state picture, allowing for a direct
calculation of the linear response conductances, without the need of
introducing contact resistances at the connection points to the outer ideal
leads. The matrix of conductances is parametrized by three variables. For these
we derive coupled renormalization group (RG) equations, by summing up infinite
classes of contributions in perturbation theory. The resulting general
structure of the RG equations may be employed to describe junctions with an
arbitrary number of wires and arbitrary interaction strength in each wire. The
fixed point structure of these equations (for the chiral Y-junction) is
analyzed in detail. For repulsive interaction (g,g_3>0) there is only one
stable fixed point, corresponding to the complete separation of the wires. For
attractive interaction (g<0 and/or g_3<0) four fixed points are found, the
stability of which depends on the interaction strength. We confirm our previous
weak-coupling result of lines of fixed points for special values of the
interaction parameters reaching into the strong coupling domain. We find new
fixed points not discussed before, even at the symmetric line g=g_3, at
variance with the results of Oshikawa et al. The pair tunneling phenomenon
conjectured by the latter authors is not found by us.


title: Image Retrieval based on Bag-of-Words model

abstract:
  This article gives a survey for bag-of-words (BoW) or bag-of-features model
in image retrieval system. In recent years, large-scale image retrieval shows
significant potential in both industry applications and research problems. As
local descriptors like SIFT demonstrate great discriminative power in solving
vision problems like object recognition, image classification and annotation,
more and more state-of-the-art large scale image retrieval systems are trying
to rely on them. A common way to achieve this is first quantizing local
descriptors into visual words, and then applying scalable textual indexing and
retrieval schemes. We call this model as bag-of-words or bag-of-features model.
The goal of this survey is to give an overview of this model and introduce
different strategies when building the system based on this model.


title:
Moment growth bounds on continuous time Markov processes on non-negative
  integer lattices

abstract:
  We consider Markov processes in continuous time with state space $\posint^N$
and provide two sufficient conditions and one necessary condition for the
existence of moments $E(\|X(t)\|^r)$ of all orders $r \in \nat$ for all $t \geq
0$. The sufficient conditions also guarantee an exponential in time growth
bound for the moments. The class of processes studied have finitely many state
independent jumpsize vectors $\nu_1,\dots,\nu_M$. This class of processes arise
naturally in many applications such as stochastic models of chemical kinetics,
population dynamics and queueing theory for example. We also provide a
necessary and sufficient condition for stochiometric boundedness of species in
terms of $\nu_j$.


title: Scissors Modes: The elusive breathing overtone

abstract:
  The Two-Rotor Model predicts two levels above the Scissors Modes with
degenerate intrinsic energy. They have $J^{\pi}= 0^+,2^+$ and are referred to
as overtones. Their energy is below threshold for nucleon emission, which
should make them observable. The $J^{\pi}=0^+$ overtone, that has the structure
of an isovector breathing mode, has vanishing $E0$ amplitude so that cannot be
directly excited, but it could be reached in the decay of the $J=2^+$ overtone.
We discuss such a process and evaluate the $B(E2)$ strength, which, however,
turns out to be very small.


title: LHC SUSY searches after the Higgs discovery: respecting the muon g-2

abstract:
  SUSY searches at the LHC as well as the 126 GeV Higgs boson indicate that
superparticles, especially squarks and gluinos, are not so light as we
expected. It is important to investigate SUSY searches which do not rely on the
colored superparticles.
  As a clue for the investigation, we focus on the muon g-2 anomaly, which can
be explained by the SUSY contributions if some of neutralinos, charginos, and
sleptons are as light as of order 100 GeV. We propose the muon-(g-2)-motivated
MSSM as a benchmark model, where squarks are decoupled but the superparticles
corresponding to the muon g-2 are light enough to explain the anomaly. We also
interpret the up-to-date results of LHC SUSY searches, and obtain experimental
constraints on the model.
  We show searches for direct production of charginos and neutralinos work very
well against the scenario, but several regions are not only remain uncovered
but even found challenging to be searched for at the LHC. It is ascertained
that, in order to draw out latent potential of the LHC, strategies to attack
these regions should be developed.


title: Holographic isotropization linearized

abstract:
  The holographic isotropization of a highly anisotropic, homogeneous, strongly
coupled, non-Abelian plasma was simplified in arXiv:1202.0981 by linearizing
Einstein's equations around the final, equilibrium state. This approximation
reproduces the expectation value of the boundary stress tensor with a 20%
accuracy. Here we elaborate on these results and extend them to observables
that are directly sensitive to the bulk interior, focusing for simplicity on
the entropy production on the event horizon. We also consider
next-to-leading-order corrections and show that the leading terms alone provide
a better description of the isotropization process for the states that are
furthest from equilibrium.


title: Partition regularity with congruence conditions

abstract:
  An infinite integer matrix A is called image partition regular if, whenever
the natural numbers are finitely coloured, there is an integer vector x such
that Ax is monochromatic. Given an image partition regular matrix A, can we
also insist that each variable x_i is a multiple of some given d_i? This is a
question of Hindman, Leader and Strauss.
  Our aim in this short note is to show that the answer is negative. As an
application, we disprove a conjectured equivalence between the two main forms
of partition regularity, namely image partition regularity and kernel partition
regularity.


title:
Complete spatial characterization of an optical wavefront using a
  variable-separation pinhole pair

abstract:
  We present a technique for measuring the transverse spatial properties of an
optical wavefront. Intensity and phase profiles are recovered by analysis of a
series of interference patterns produced by the combination of a scanning
X-shaped slit and a static horizontal slit; the spatial coherence may be found
from the same data. We demonstrate the technique by characterizing high
harmonic radiation generated in a gas cell, however the method could be
extended to a wide variety of light sources.


title: The Timepix Telescope for High Performance Particle Tracking

abstract:
  The Timepix particle tracking telescope has been developed as part of the
LHCb VELO Upgrade project, supported by the Medipix Collaboration and the AIDA
framework. It is a primary piece of infrastructure for the VELO Upgrade project
and is being used for the development of new sensors and front end technologies
for several upcoming LHC trackers and vertexing systems. The telescope is
designed around the dual capability of the Timepix ASICs to provide information
about either the deposited charge or the timing information from tracks
traversing the 14 x 14mm matrix of 55 x 55 um pixels. The rate of reconstructed
tracks available is optimised by taking advantage of the shutter driven readout
architecture of the Timepix chip, operated with existing readout systems.
Results of tests conducted in the SPS North Area beam facility at CERN show
that the telescope typically provides reconstructed track rates during the beam
spills of between 3.5 and 7.5 kHz, depending on beam conditions. The tracks are
time stamped with 1 ns resolution with an efficiency of above 98% and provide a
pointing resolution at the centre of the telescope of 1.6 um . By dropping the
time stamping requirement the rate can be increased to 15 kHz, at the expense
of a small increase in background. The telescope infrastructure provides CO2
cooling and a flexible mechanical interface to the device under test, and has
been used for a wide range of measurements during the 2011-2012 data taking
campaigns.


title: Femtosecond Time-resolved MeV Electron Diffraction

abstract:
  We report the experimental demonstration of femtosecond electron diffraction
using high-brightness MeV electron beams. High-quality, single-shot electron
diffraction patterns for both polycrystalline aluminum and single-crystal
1T-TaS2 are obtained utilizing a 5 femto-Coulomb (~3x10^4 electrons) pulse of
electrons at 2.8 MeV. The high quality of the electron diffraction patterns
confirm that electron beam has a normalized emittance of ~50 nm-rad. The
corresponding transverse and longitudinal coherence length are ~11 nm and ~2.5
nm, respectively. The timing jitter between the pump laser and probe electron
beam was found to be ~ 100 fs (rms). The temporal resolution is demonstrated by
observing the evolution of Bragg and superlattice peaks of 1T-TaS2 following an
800 nm optical pump and was found to be 130 fs. Our results demonstrate the
advantages of MeV electron diffraction: such as longer coherent lengths, large
scattering cross-section and larger signal-to-noise ratio, and the feasibility
of ultimately realizing 10 fs time-resolved electron diffraction.


title: Breathing synchronization in interconnected networks

abstract:
  Global synchronization in a complex network of oscillators emerges from the
interplay between its topology and the dynamics of the pairwise interactions
among its numerous components. When oscillators are spatially separated,
however, a time delay appears in the interaction which might obstruct
synchronization. Here we study the synchronization properties of interconnected
networks of oscillators with a time delay between networks and analyze the
dynamics as a function of the couplings and communication lag. We discover a
new breathing synchronization regime, where two groups appear in each network
synchronized at different frequencies. Each group has a counterpart in the
opposite network, one group is in phase and the other in anti-phase with their
counterpart. For strong couplings, instead, networks are internally
synchronized but a phase shift between them might occur. The implications of
our findings on several socio-technical and biological systems are discussed.


title:
Cosmological models with multiple dark matter species and long-range
  scalar interactions

abstract:
  In this talk, I have discussed the implications of a multi-component nature
of cosmic Dark Matter for the observational bounds on possible long-range
fifth-forces mediated by a Dark Energy scalar field. By assuming a simple
internal symmetry of the Dark Matter component associated to opposite coupling
"charges" of two different particle species, the effects of Dark Energy
interactions on both the background and linear perturbations evolution are
strongly suppressed during the whole matter dominated phase, thereby relaxing
present bounds on the coupling strength. The associated attractive and
repulsive fifth-forces, however, might still have a very significant impact on
the nonlinear dynamics of collapsed structures. I have also described how some
of these nonlinear effects are identified through dedicated cosmological N-body
simulations as i) a possible fragmentation of bound Dark Matter halos into
smaller objects, and ii) a consequent suppression of the nonlinear matter power
at small scales. Both effects are potentially observable and might allow to
further constrain the model.


title:
Scattering a quantum particle on the potential step: Characteristic
  times for transmission and reflection

abstract:
  We present a new model of scattering a quantum particle on the potential
step, which reconstructs the prehistory of the subensembles of transmitted and
reflected particles by their final states. Unlike the conventional one this
model predicts the existence of a transitional spatial region behind the
potential step where the probability to find reflected particles is nonzero and
the average velocity of transmitted particles monotonously varies between
asymptotic values. For both subprocesses we define the dwell and asymptotic
group times.


title:
Compressive X-ray phase tomography based on the transport of intensity
  equation

abstract:
  We develop and implement a compressive reconstruction method for tomographic
recovery of refractive index distribution for weakly attenuating objects in a
microfocus X-ray system. This is achieved through the development of a
discretized operator modeling both the transport of intensity equation and
X-ray transform that is suitable for iterative reconstruction techniques.


title: Comparative Study of Simulation for Vehicular Ad-hoc Network

abstract:
  In this paper we have discussed about the number of automobiles that has been
increased on the road in the past few years. Due to high density of vehicles,
the potential threats and road accident is increasing. Wireless technology is
aiming to equip technology in vehicles to reduce these factors by sending
messages to each other. The vehicular safety application should be thoroughly
tested before it is deployed in a real world to use. Simulator tool has been
preferred over out door experiment because it simple, easy and cheap. VANET
requires that a traffic and network simulator should be used together to
perform this test. Many tools exist for this purpose but most of them have the
problem with the proper interaction. Simulating vehicular networks with
external stimulus to analyze its effect on wireless communication but to do
this job a good simulator is also needed.


title:
Inhomogeneities and impurities in a dense one-dimensional Rydberg
  lattice gas

abstract:
  We consider a dense one-dimensional laser-driven Rydberg lattice gas with
perfect nearest-neighbor blockade. The ground state of this system can be found
analytically in certain parameter regimes even when the applied fields are
inhomogeneous in space. We will use this unique feature to investigate the
effect of an impurity - introduced by the local variation of the laser
parameters - on the correlations of the many-body ground state. Moreover, we
explore the role of a staggered laser field which alternates from site to site
thereby breaking the sublattice symmetry. We demonstrate that this technique,
which can be applied experimentally, reveals insights into the role of
long-range interactions on the critical properties of a Rydberg gas. Our work
highlight novel possibilities for the exploration of many-body physics in
Rydberg lattice gases based on locally tuneable laser fields.


title:
Second-order asymptotics for the block counting process in a class of
  regularly varying $\Lambda$-coalescents

abstract:
  Consider a standard ${\Lambda }$-coalescent that comes down from infinity.
Such a coalescent starts from a configuration consisting of infinitely many
blocks at time $0$, but its number of blocks $N_t$ is a finite random variable
at each positive time $t$. Berestycki et al. [Ann. Probab. 38 (2010) 207-233]
found the first-order approximation $v$ for the process $N$ at small times.
This is a deterministic function satisfying $N_t/v_t\to1$ as $t\to0$. The
present paper reports on the first progress in the study of the second-order
asymptotics for $N$ at small times. We show that, if the driving measure
$\Lambda$ has a density near zero which behaves as $x^{-\beta}$ with
$\beta\in(0,1)$, then the process $(\varepsilon^{-1/(1+\beta)}(N_{\varepsilon
t}/v_{\varepsilon t}-1))_{t\ge0}$ converges in law as $\varepsilon\to0$ in the
Skorokhod space to a totally skewed $(1+\beta)$-stable process. Moreover, this
process is a unique solution of a related stochastic differential equation of
Ornstein-Uhlenbeck type, with a completely asymmetric stable L\'{e}vy noise.


title:
Gr\"obner-Shirshov bases for the non-symmetric operads of dendriform
  algebras and quadri-algebras (unabridged version)

abstract:
  In this paper we use the operadic framework to find Gr\"obner-Shirshov bases
for the free quadri-algebra. We perform computations using the representation
of the nonsymmetric operad by planar rooted trees in a very intuitive way.
Gr\"obner-Shirshov bases for the free dendriform algebra are also found with
this technique, simplifying the work by Chen and Wang in 2010.


title:
Temporal Description Logic for Ontology-Based Data Access (Extended
  Version)

abstract:
  Our aim is to investigate ontology-based data access over temporal data with
validity time and ontologies capable of temporal conceptual modelling. To this
end, we design a temporal description logic, TQL, that extends the standard
ontology language OWL 2 QL, provides basic means for temporal conceptual
modelling and ensures first-order rewritability of conjunctive queries for
suitably defined data instances with validity time.


title: Experimental Realization of Non-Abelian Geometric Gates

abstract:
  The geometric aspects of quantum mechanics are underlined most prominently by
the concept of geometric phases, which are acquired whenever a quantum system
evolves along a closed path in Hilbert space. The geometric phase is determined
only by the shape of this path and is -- in its simplest form -- a real number.
However, if the system contains degenerate energy levels, matrix-valued
geometric phases, termed non-abelian holonomies, can emerge. They play an
important role for the creation of synthetic gauge fields in cold atomic gases
and the description of non-abelian anyon statistics. Moreover, it has been
proposed to exploit non-abelian holonomic gates for robust quantum computation.
In contrast to abelian geometric phases, non-abelian ones have been observed
only in nuclear quadrupole resonance experiments with a large number of spins
and without fully characterizing the geometric process and its non-commutative
nature. Here, we realize non-abelian holonomic quantum operations on a single
superconducting artificial three-level atom by applying a well controlled
two-tone microwave drive. Using quantum process tomography, we determine
fidelities of the resulting non-commuting gates exceeding 95 %. We show that a
sequence of two paths in Hilbert space traversed in different order yields
inequivalent transformations, which is an evidence for the non-abelian
character of the implemented holonomic quantum gates. In combination with
two-qubit operations, they form a universal set of gates for holonomic quantum
computation.


title: Phase transitions of magnetic AdS4 black holes with scalar hair

abstract:
  We determine the thermodynamic properties of a class of spherically symmetric
and static black holes in AdS4 with magnetic charges and scalar hair. These
black holes are solutions in 4d N=2 gauged supergravity that can arise from
eleven-dimensional supergravity compactified on S^7. At zero temperature, they
preserve supersymmetry and hence are stable. At non-zero temperatures, we
explore in detail the canonical ensemble and stability of solutions and find a
first order phase transition between small and large hairy black holes. The
transition emerges as a liquid-gas phase transition in the dual
three-dimensional field theory on R x S^2 with magnetic flux through S^2.


title:
Generalized Multiscale Finite Element Methods. Nonlinear Elliptic
  Equations

abstract:
  In this paper we use the GeneralizedMultiscale Finite ElementMethod (GMsFEM)
framework, introduced in [20], in order to solve nonlinear elliptic equations
with high-contrast coefficients. The proposed solution method involves
linearizing the equation so that coarse-grid quantities of previous solution
iterates can be regarded as auxiliary parameters within the problem
formulation. With this convention, we systematically construct respective
coarse solution spaces that lend themselves to either continuous Galerkin (CG)
or discontinuous Galerkin (DG) global formulations. Here, we use Symmetric
Interior Penalty Discontinuous Galerkin approach. Both methods yield a
predictable error decline that depends on the respective coarse space
dimension, and we illustrate the effectiveness of the CG and DG formulations by
offering a variety of numerical examples.


title: Mobility Models for Vehicular Ad-hoc Network Simulation

abstract:
  One of the emerging applications that belong to ambient systems is to
transparently and directly interconnect vehicles on roads, making an ad hoc
network that enables a variety of applications through distributed software
without the need of any fixed and dedicated infrastructure. The network as well
as the embedded computers and sensors in the vehicle will be invisible to the
driver, who will get the required services during his journey. New type of ad
hoc network is the Vehicular Ad hoc Network, in which vehicles constitute the
mobile nodes in the network. Due to the prohibitive cost of deploying and
implementing such as system in a real world, most research work in VANET relies
on simulations for evaluation purpose. The key concept for VANET simulations is
a real world vehicular mobility model which will ensures conclusions drawn from
simulation experiments will carry through to real world deployments. In this
paper we present a tool SUMO, MOVE that allows users to easily generate real
world mobility models for VANET simulations. MOVE tool is built on top of SUMO
which is open source micro traffic simulator. Output of MOVE is a real world
mobility model and can used by NS-2 and Qual-net simulator. In this paper we
evaluate and compare ad hoc routing performance for vehicular nodes using MOVE,
which is using random way point model. The simulation results are obtained when
nodes are moving according to a real world mobility model which is
significantly different from that of the generally used random way point model.


title:
DEMO: Simulation of Realistic Mobility Model and Implementation of
  802.11p (DSRC) for Vehicular Networks (VANET)

abstract:
  An ad hoc network of vehicles (VANET) consists of vehicles that exchange
information via radio in order to improve road safety, traffic management and
do better distribution of traffic load in time and space. Along with this it
allows Internet access for passengers and users of vehicles. A significant
characteristic while studying VANETs is the requirement of having a mobility
model that gives aspects of real vehicular traffic. These scenarios play an
important role in performance of VANETs. In our paper we have demonstration and
description of generating realistic mobility model using various tools such as
eWorld, OpenStreetMap, SUMO and TraNS. Generated mobility scenario is added to
NS-2.34 (Network Simulator) for analysis of DSR and AODV routing protocol under
802.11p (DSRC/WAVE) and 802.11a. Results after analysis shows 802.11p is more
suitable than 802.11a for VANET.


title:
The 22-Year Hale Cycle in Cosmic Ray Flux - Evidence for Direct
  Heliospheric Modulation

abstract:
  The ability to predict times of greater galactic cosmic ray (GCR) fluxes is
important for reducing the hazards caused by these particles to satellite
communications, aviation, or astronauts. The 11-year solar cycle variation in
cosmic rays is highly correlated with the strength of the heliospheric magnetic
field. Differences in GCR flux during alternate solar cycles yield a 22-year
cycle, known as the Hale Cycle, which is thought to be due to different
particle drift patterns when the northern solar pole has predominantly positive
(denoted a qA>0 cycle) or negative (qA<0) polarities. This results in the onset
of the peak cosmic ray flux at Earth occurring earlier during qA>0 cycles than
for qA<0 cycles and hence the peak being more domed for qA>0 and more sharply
peaked for qA<0. In this study, we demonstrate that properties of the
large-scale heliospheric magnetic field are different during the declining
phase of the qA<0 and qA>0 solar cycles, when the difference in GCR flux is
most apparent. This suggests that particle drifts may not be the sole mechanism
responsible for the Hale Cycle in GCR flux at Earth. However, it is also
demonstrated that these polarity-dependent heliospheric differences are evident
during the space-age but much less clear in earlier data: using geomagnetic
reconstructions, it is shown that for the period of 1905 - 1965, alternate
polarities do not give as significant a difference during the declining phase
of the solar cycle. Thus we suggest that the 22-year cycle in cosmic ray flux
is at least partly the result of direct modulation by the heliospheric magnetic
field and that this effect may be primarily limited to the grand solar maximum
of the space-age.


title: Higher order corrections to the Grimus-Stockinger formula

abstract:
  For the Grimus-Stockinger formula the same dimensionless parameter of
asymptotic expansion is found by several ways of calculations. This parameter
strongly depends on the width of wave packet.


title: Acoustic emission from magnetic flux tubes in the solar network

abstract:
  We present the results of three-dimensional numerical simulations to
investigate the excitation of waves in the magnetic network of the Sun due to
footpoint motions of a magnetic flux tube. We consider motions that typically
mimic granular buffeting and vortex flows and implement them as driving motions
at the base of the flux tube. The driving motions generates various MHD modes
within the flux tube and acoustic waves in the ambient medium. The response of
the upper atmosphere to the underlying photospheric motion and the role of the
flux tube in channeling the waves is investigated. We compute the acoustic
energy flux in the various wave modes across different boundary layers defined
by the plasma and magnetic field parameters and examine the observational
implications for chromospheric and coronal heating.


title: Transchromatic twisted character maps

abstract:
  Refinements of the transchromatic generalized character maps are constructed
by taking into account the torus action on the inertia groupoid (also known as
the Fix functor). The relationship between this construction and the geometry
of p-divisible groups is made precise.


title:
The magnetization plateaus of the ferro and anti-ferro spin-1 classical
  models with $S_z^2$ term

abstract:
  We study in detail the exact thermodynamics of the one-dimensional standard
and staggered spin-1 Ising models with a single-ion anisotropy term in the
presence of a longitudinal magnetic field at low temperatures. The results are
valid for the ferromagnetic and anti-ferromagnetic (AF) models and for positive
and negative values of the crystal field for $T>0$. Although the excited states
of the ferro and anti-ferro models are highly degenerate, we show that the
temperature required for reaching the first excited state in the classical
spin-1 ferro model gives a scale of temperature that permits fitting the
z-component of the magnetization only by the contribution of two ground states
of the model. This approximation is not true for the equivalent AF function due
to the fact that the AF model is gapless along the lines separating the phases
in its phase diagram at T=0. We relate the number of plateaus in the
magnetization of each model to their respective phase diagrams at T=0. The
specific heat per site of the AF model distinguishes, at low temperature, the
transitions $\mbox{A} \rightleftharpoons \mbox{E}$ and $\mbox{G}
\rightleftharpoons \mbox{E}$ as the external magnetic field is varied. The
exact Helmholtz free energy of the classical spin-1 model is mapped onto the
equivalent function of the ionic limit of the 1D extended Hubbard model by
proper transformations.


title:
Dicke Quantum Spin and Photon Glass in Optical Cavities: Non-equilibrium
  theory and experimental signatures

abstract:
  In the context of ultracold atoms in multimode optical cavities, the
appearance of a quantum-critical glass phase of atomic spins has been predicted
recently. Due to the long-range nature of the cavity-mediated interactions, but
also the presence of a driving laser and dissipative processes such as cavity
photon loss, the quantum optical realization of glassy physics has no analog in
condensed matter, and could evolve into a "cavity glass microscope" for
frustrated quantum systems out-of-equilibrium. Here we develop the
non-equilibrium theory of the multimode Dicke model with quenched disorder and
Markovian dissipation. Using a unified Keldysh path integral approach, we show
that the defining features of a low temperature glass, representing a critical
phase of matter with algebraically decaying temporal correlation functions, are
seen to be robust against the presence of dissipation due to cavity loss. The
universality class however is modified due to the Markovian bath. The presence
of strong disorder leads to an enhanced equilibration of atomic and photonic
degrees of freedom, including the emergence of a common low-frequency effective
temperature. The imprint of the atomic spin glass physics onto a "photon glass"
makes it possible to detect the glass state by standard experimental techniques
of quantum optics. We provide an unambiguous characterization of the
superradiant and glassy phases in terms of fluorescence spectroscopy, homodyne
detection, and the temporal photon correlation function $g^{(2)}(\tau)$.


title: Ball-Larus Path Profiling Across Multiple Loop iterations

abstract:
  Identifying the hottest paths in the control flow graph of a routine can
direct optimizations to portions of the code where most resources are consumed.
This powerful methodology, called path profiling, was introduced by Ball and
Larus in the mid 90s and has received considerable attention in the last 15
years for its practical relevance. A shortcoming of Ball-Larus path profiling
was the inability to profile cyclic paths, making it difficult to mine
interesting execution patterns that span multiple loop iterations. Previous
results, based on rather complex algorithms, have attempted to circumvent this
limitation at the price of significant performance losses already for a small
number of iterations. In this paper, we present a new approach to multiple
iterations path profiling, based on data structures built on top of the
original Ball-Larus numbering technique. Our approach allows it to profile all
executed paths obtained as a concatenation of up to k Ball-Larus acyclic paths,
where k is a user-defined parameter. An extensive experimental investigation on
a large variety of Java benchmarks on the Jikes RVM shows that, surprisingly,
our approach can be even faster than Ball-Larus due to fewer operations on
smaller hash tables, producing compact representations of cyclic paths even for
large values of k.


title: Spectral Analysis by the Method of Consistent Constraints

abstract:
  Two major challenges of numeric analytic continuation---restoring the
spectral density, $s(\omega)$, from the corresponding Matsubara correlator,
$g(\tau)$---are (i) producing the most smooth/featureless answer for
$s(\omega)$ without compromising the error bars on $g(\tau)$ and (ii)
quantifying possible deviations of the produced result from the actual answer.
We introduce the method of consistent constraints that solves both problems.


title: Some approximations in Model Checking and Testing

abstract:
  Model checking and testing are two areas with a similar goal: to verify that
a system satisfies a property. They start with different hypothesis on the
systems and develop many techniques with different notions of approximation,
when an exact verification may be computationally too hard. We present some
notions of approximation with their logic and statistics backgrounds, which
yield several techniques for model checking and testing: Bounded Model
Checking, Approximate Model Checking, Approximate Black-Box Checking,
Approximate Model-based Testing and Approximate Probabilistic Model Checking.
All these methods guarantee some quality and efficiency of the verification.


title:
Spontaneous Peierls dimerization and emergent bond order in
  one-dimensional dipolar gases

abstract:
  We investigate the effect of dipolar interactions in one-dimensional systems
in connection with the possibility of observing exotic many-body effects with
trapped atomic and molecular dipolar gases. By combining analytical and
numerical methods, we show how the competition between short- and long-range
interactions gives rise to frustrating effects which lead to the stabilization
of spontaneously dimerized phases characterized by a bond-ordering. This
genuine quantum order is sharply distinguished from Mott and spin-density wave
phases, and can be unambiguously probed by measuring non local order parameters
in-situ imaging techniques.


title: Mean field games with nonlinear mobilities in pedestrian dynamics

abstract:
  In this paper we present an optimal control approach modeling fast exit
scenarios in pedestrian crowds. In particular we consider the case of a large
human crowd trying to exit a room as fast as possible. The motion of every
pedestrian is determined by minimizing a cost functional, which depends on
his/her position, velocity, exit time and the overall density of people. This
microscopic setup leads in the mean-field limit to a parabolic optimal control
problem. We discuss the modeling of the macroscopic optimal control approach
and show how the optimal conditions relate to Hughes model for pedestrian flow.
Furthermore we provide results on the existence and uniqueness of minimizers
and illustrate the behavior of the model with various numerical results.


title: Update on Minimal Supersymmetric Hybrid Inflation in Light of PLANCK

abstract:
  The minimal supersymmetric (or F-term) hybrid inflation is defined by a
unique renormalizable superpotential, fixed by a $U(1)$ R-symmetry, and it
employs a canonical K\"{a}hler potential. The inflationary potential takes into
account both radiative and supergravity corrections, as well as an important
soft supersymmetry breaking term, with a mass coefficient in the range $(0.1 -
10)~{\rm TeV}$. The latter term assists in obtaining a scalar spectral index
$n_s$ close to $0.96$, as strongly suggested by the PLANCK and WMAP-9yr
measurements. The minimal model predicts that the tensor-to-scalar $r$ is
extremely tiny, of order $10^{-12}$, while the spectral index running,
$|dn_{\rm s}/d\ln k| \sim 10^{-4}$. If inflation is associated with the
breaking of a local $U(1)_{B-L}$ symmetry, the corresponding symmetry breaking
scale $M$ is $(0.7 - 1.6)\cdot10^{15}~{\rm GeV}$ with $n_{\rm s} \simeq 0.96$.
This scenario is compatible with the bounds on $M$ from cosmic strings, formed
at the end of inflation from $B-L$ symmetry breaking. We briefly discuss
non-thermal leptogenesis which is readily implemented in this class of models.


title:
Evolution of CO lines in time-dependent models of protostellar disk
  formation

abstract:
  (Abridged) Star and planet formation theories predict an evolution in the
density, temperature, and velocity structure as the envelope collapses and
forms an accretion disk. The aim of this work is to model the evolution of the
molecular excitation, line profiles, and related observables during low-mass
star formation. Specifically, the signatures of disks during the deeply
embedded stage are investigated. Semi-analytic 2D axisymmetric models have been
used to describe the evolution of the density, stellar mass, and luminosity
from the pre-stellar to the T-Tauri phase. A full radiative transfer
calculation is carried out to accurately determine the time-dependent dust
temperatures and CO abundance structure. We present non-LTE near-IR, FIR, and
submm lines of CO have been simulated at a number of time steps. In contrast to
the dust temperature, the CO excitation temperature derived from submm/FIR
lines does not vary during the protostellar evolution, consistent with C18O
observations obtained with Herschel and from ground-based telescopes. The
near-IR spectra provide complementary information to the submm lines by probing
not only the cold outer envelope but also the warm inner region. The near-IR
high-J (>8) absorption lines are particularly sensitive to the physical
structure of the inner few AU, which does show evolution. High signal-to-noise
ratio subarcsec resolution data with ALMA are needed to detect the presence of
small rotationally supported disks during the Stage 0 phase and various
diagnostics are discussed.


title: p-adic Heights of Heegner points on Shimura curves

abstract:
  Let $f$ be a primitive Hilbert modular form of parallel weight $2$ and level
$N$ for the totally real field $F$, and let $p$ be a rational prime coprime to
$2N$. If $f$ is ordinary at $p$ and $E$ is a CM extension of $F$ of relative
discriminant $\Delta$ prime to $Np$, we give an explicit construction of the
$p$-adic Rankin-Selberg $L$-function $L_{p}(f_E,\cdot)$. When the sign of its
functional equation is $-1$, we show, under the assumption that all primes
$\wp\vert p$ are principal ideals of ${\mathcal O}_{F}$ which split in
${\mathcal O}_{E}$, that its central derivative is given by the $p$-adic height
of a Heegner point on the abelian variety $A$ associated with $f$.
  This $p$-adic Gross--Zagier formula generalises the result obtained by
Perrin-Riou when $F={\mathbf Q}$ and $(N,E)$ satisfies the so-called Heegner
condition. We deduce applications to both the $p$-adic and the classical Birch
and Swinnerton-Dyer conjectures for~$A$.


title: On the Geometric Quantization of Canonical Gravity

abstract:
  One of the hardest problems to tackle in the dynamics of canonical approaches
to quantum gravity is that of the Hamiltonian constraint. We investigate said
problem in the context of formal geometric quantization. We study the
implications of the non uniqueness in the choice of the vector field which
satisfies the presymplectic equation for the Hamiltonian constraint, and study
the implication of the same in the quantization of the theory. Our aim is to
show that this non uniqueness in the choice of said vector field, which really
stems from refoliation invariance leads to a very ambiguous notion of quantum
evolution. We then investigate the case of a theory where the problem of the
Hamiltonian constraint has been dealt with at the classical level, namely Shape
Dynamics, and attempt to derive a time dependent Schrodinger equation for the
quantum dynamics of this theory.


title: A new Einstein-nonlinear electrodynamics solution in 2+1-dimensions

abstract:
  We introduce a class of solutions in $2+1-$dimensional Einstein-Power-Maxwell
theory for circularly symmetric electric field. The electromagnetic field is
considered with an angular component given by $% F_{\mu \nu }=E_{0}\delta_{\mu
}^{t}\delta_{\nu }^{\theta }$ for $E_{0}=$ constant. First, we show that the
metric for zero cosmological constant and the Power-Maxwell Lagrangian of the
form of $\sqrt{\left\vert F_{\mu \nu }F^{\mu \nu }\right\vert }$, coincides
with the solution given in $2+1-$% dimensional gravity coupled with a massless,
self interacting real scalar field. With the same Lagrangian and a non-zero
cosmological constant we obtain a non-asymptotically flat wormhole solution in
$2+1-$dimensions. The confining motions of massive charged and chargeless
particles are investigated too. Secondly, another interesting solution is given
for zero cosmological constant together with conformal invariant condition. The
formation of timelike naked singularity for this particular case is
investigated within the framework of the quantum mechanics. Quantum fields
obeying the Klein-Gordon and Dirac equations are used to probe the singularity
and test the quantum mechanical status of the singularity.


title: Chandrasekhar polynomials -- A brief review

abstract:
  A review on the Chandrasekhar polynomials is given. The polynomials often
appear in transport theory. The relation to the method of rotated reference
frames for the three-dimensional radiative transport equation is clarified.

categories: math-ph cond-mat.dis-nn math.MP physics.optics


title: Omitting types for infinitary [0, 1]-valued logic

abstract:
  We describe an infinitary logic for metric structures which is analogous to
$L_{\omega_1, \omega}$. We show that this logic is capable of expressing
several concepts from analysis that cannot be expressed in finitary continuous
logic. Using topological methods, we prove an omitting types theorem for
countable fragments of our infinitary logic. We use omitting types to prove a
two-cardinal theorem, which yields a strengthening of a result of Ben Yaacov
and Iovino concerning separable quotients of Banach spaces.


title:
Multivariate limits of multilinear polynomial-form processes with long
  memory

abstract:
  We consider the multilinear polynomial-form process
  \[X(n)=\sum_{1\le i_1<\ldots<i_k<\infty}a_{i_1}\ldots
a_{i_k}\epsilon_{n-i_1}\ldots\epsilon_{n-i_k},\] obtained by applying a
multilinear polynomial-form filter to i.i.d.\ sequence $\{\epsilon_i\}$ where
$\{a_i\}$ is regularly varying. The resulting sequence $\{X(n)\}$ will then
display either short or long memory. Now consider a vector of such X(n), whose
components are defined through different $\{a_i\}$'s, that is, through
different multilinear polynomial-form filters, but using the same
$\{\epsilon_i\}$. What is the limit of the normalized partial sums of the
vector? We show that the resulting limit is either a) a multivariate Gaussian
process with Brownian motion as marginals, or b) a multivariate Hermite
process, or c) a mixture of the two. We also identify the independent
components of the limit vectors.


title:
Reply to Comment on "Evidence of Non-Mean-Field-Like Low-Temperature
  Behavior in the Edwards-Anderson Spin-Glass Model"

abstract:
  In Phys. Rev. Lett. 110, 219701 (2013) [arXiv:1211.0843] Billoire et al.
criticize the conclusions of our Letter [Phys. Rev. Lett. 109, 177204 (2012),
arxiv:1206.0783]. They argue that considering the Edwards-Anderson and
Sherrington-Kirkpatrick models at the same temperature is inappropriate and
propose an interpretation based on the replica symmetry breaking theory. Here
we show that the theory presented in the Comment does not explain our data on
the Edwards-Anderson spin glass and we stand by our assertion that the
low-temperature behavior of the Edwards-Anderson spin glass model does not
appear to be mean-field like.


title: Backreacted flavor in non-commutative gauge theories

abstract:
  We construct the gravity dual of N=1 Non-Commutative SYM theory coupled to Nf
smeared massless fundamental flavors. Our solution is analytic and
non-perturbative. Near the origin the background reduces to the one
corresponding to an ordinary SYM theory. At large radial distances, the dilaton
diverges signaling the presence of a UV Landau pole. Considering a probe
D3-brane we calculate the effective YM coupling and show that it is independent
on the parameter of non-commutativity. We calculate the corresponding beta
function and show that it remains positive at all energy scales.


title: Object Tracking in Videos: Approaches and Issues

abstract:
  Mobile object tracking has an important role in the computer vision
applications. In this paper, we use a tracked target-based taxonomy to present
the object tracking algorithms. The tracked targets are divided into three
categories: points of interest, appearance and silhouette of mobile objects.
Advantages and limitations of the tracking approaches are also analyzed to find
the future directions in the object tracking domain.


title: Carbon Dating The Web: Estimating the Age of Web Resources

abstract:
  In the course of web research it is often necessary to estimate the creation
datetime for web resources (in the general case, this value can only be
estimated). While it is feasible to manually establish likely datetime values
for small numbers of resources, this becomes infeasible if the collection is
large. We present "carbon date", a simple web application that estimates the
creation date for a URI by polling a number of sources of evidence and
returning a machine-readable structure with their respective values. To
establish a likely datetime, we poll bitly for the first time someone shortened
the URI, topsy for the first time someone tweeted the URI, a Memento aggregator
for the first time it appeared in a public web archive, Google's time of last
crawl, and the Last-Modified HTTP response header of the resource itself. We
also examine the backlinks of the URI as reported by Google and apply the same
techniques for the resources that link to the URI. We evaluated our tool on a
gold-standard data set of 1200 URIs in which the creation date was manually
verified. We were able to estimate a creation date for 75.90% of the resources,
with 32.78% having the correct value. Given the different nature of the URIs,
the union of the various methods produces the best results. While the Google
last crawl date and topsy account for nearly 66% of the closest answers,
eliminating the web archives or Last-Modified from the results produces the
largest overall negative impact on the results. The carbon date application is
available for download or use via a webAPI.


title: Intrinsic complexity estimates in polynomial optimization

abstract:
  It is known that point searching in basic semialgebraic sets and the search
for globally minimal points in polynomial optimization tasks can be carried out
using $(s\,d)^{O(n)}$ arithmetic operations, where $n$ and $s$ are the numbers
of variables and constraints and $d$ is the maximal degree of the polynomials
involved.\spar \noindent We associate to each of these problems an intrinsic
system degree which becomes in worst case of order $(n\,d)^{O(n)}$ and which
measures the intrinsic complexity of the task under consideration.\spar
\noindent We design non-uniformly deterministic or uniformly probabilistic
algorithms of intrinsic, quasi-polynomial complexity which solve these
problems.


title: A Supersymmetric Grand Unified Model with Noncompact Horizontal Symmetry

abstract:
  In a supersymmetric SU(5) grand unified model with a horizontal symmetry
SU(1,1), we discuss spontaneous generation of generations to produce three
chiral generations of quarks and leptons and one generation of higgses by using
one structure field with a half-integer spin of SU(1,1) and two structure
fields with integer spins. In particular, the colored higgses can disappear
without fine-tuning. The difference of the Yukawa coupling matrices between the
down-type quarks and charged leptons is discussed. We show that some special
SU(1,1) weight assignments include R-parity as a discrete subgroup, and
R-parity remains even after we take into account the SU(1,1) breaking effects
from all the VEVs of the structure and matter fields. The assignments forbid
the baryon and/or lepton number violating terms except a superpotential quartic
term including a coupling of two lepton doublets and two up-type higgses. We
discuss how to generate sizable neutrino masses. We show that the proton decay
derived from the colored higgses is highly suppressed.


title: K\"ahler currents and null loci

abstract:
  We prove that the non-Kahler locus of a nef and big class on a compact
complex manifold bimeromorphic to a Kahler manifold equals its null locus. In
particular this gives an analytic proof of a theorem of Nakamaye and
Ein-Lazarsfeld-Mustata-Nakamaye-Popa. As an application, we show that finite
time non-collapsing singularities of the Kahler-Ricci flow on compact Kahler
manifolds always form along analytic subvarieties, thus answering a question of
Feldman-Ilmanen-Knopf and Campana. We also extend the second author's results
about noncollapsing degenerations of Ricci-flat Kahler metrics on Calabi-Yau
manifolds to the nonalgebraic case.


title:
Consistency of the recursive nonparametric regression estimation for
  dependent functional data

abstract:
  We consider the recursive estimation of a regression functional where the
explanatory variables take values in some functional space. We prove the almost
sure convergence of such estimates for dependent functional data. Also we
derive the mean quadratic error of the considered class of estimators. Our
results are established with rates and asymptotic appear bounds, under strong
mixing condition.


title:
Description of the minimizers of least squares regularized~ with~
  $\bm{\ell_0}$-norm. Uniqueness of the global minimizer

abstract:
  We have an $\m\x\n$ real-valued arbitrary matrix $A$ (e.g. a dictionary) with
$\m<\n$ and data $d$ describing the sought-after object with the help of $A$.
This work provides an in-depth analysis of the (local and global) minimizers of
an objective function $\Fd$ combining a quadratic data-fidelity term and an
$\ell_0$ penalty applied to each entry of the sought-after solution, weighted
by a regularization parameter $\be>0$. For several decades, this objective has
attracted a ceaseless effort to conceive algorithms approaching a good
minimizer. Our theoretical contributions, summarized below, shed new light on
the existing algorithms and can help the conception of innovative numerical
schemes. To solve the normal equation associated with any $\m$-row submatrix of
$A$ is equivalent to compute a local minimizer $\hu$ of $\Fd$. (Local)
minimizers $\hu$ of $\Fd$ are strict if and only if the submatrix, composed of
those columns of $A$ whose indexes form the support of $\hu$, has full column
rank. An outcome is that strict local minimizers of $\Fd$ are easily computed
without knowing the value of $\be$. Each strict local minimizer is linear in
data. It is proved that $\Fd$ has global minimizers and that they are always
strict. They are studied in more details under the (standard) assumption that
$\rank(A)=\m<\n$. The global minimizers with $\m$-length support are seen to be
impractical. Given $d$, critical values $\be_\k$ for any $\k\leq\m-1$ are
exhibited such that if $\be>\be_\k$, all global minimizers of $\Fd$ are
$\k$-sparse. An assumption on $A$ is adopted and proved to fail only on a
closed negligible subset. Then for all data $d$ beyond a closed negligible
subset, the objective $\Fd$ for $\be>\be_\k$, $\k\leq\m-1$, has a unique global
minimizer and this minimizer is $\k$-sparse. Instructive small-size ($5\x 10$)
numerical illustrations confirm the main theoretical results.


title: A geometric study of Wasserstein spaces: ultrametrics

abstract:
  We study the geometry of the space of measures of a compact ultrametric space
X, endowed with the L^p Wasserstein distance from optimal transportation. We
show that the power p of this distance makes this Wasserstein space affinely
isometric to a convex subset of l^1. As a consequence, it is connected by
1/p-H\"older arcs, but any a-H\"older arc with a>1/p must be constant. This
result is obtained via a reformulation of the distance between two measures
which is very specific to the case when X is ultrametric; howeverthanks to the
Mendel-Naor Ultrametric Skeleton it has consequences even when X is a general
compact metric space. More precisely, we use it to estimate the size of
Wasserstein spaces, measured by an analogue of Hausdorff dimension that is
adapted to (some) infinite-dimensional spaces. The result we get generalizes
greatly our previous estimate that needed a strong rectifiability assumption.
The proof of this estimate involves a structural theorem of independent
interest: every ultrametric space contains large co-Lipschitz images of
\emph{regular} ultrametric spaces, i.e. spaces of the form {1,...,k}^N with a
natural ultrametric. We are also lead to an example of independent interest: a
space of positive lower Minkowski dimension, all of whose proper closed subsets
have vanishing lower Minkowski dimension.


title: Scaling Exponent of List Decoders with Applications to Polar Codes

abstract:
  Motivated by the significant performance gains which polar codes experience
under successive cancellation list decoding, their scaling exponent is studied
as a function of the list size. In particular, the error probability is fixed
and the trade-off between block length and back-off from capacity is analyzed.
A lower bound is provided on the error probability under $\rm MAP$ decoding
with list size $L$ for any binary-input memoryless output-symmetric channel and
for any class of linear codes such that their minimum distance is unbounded as
the block length grows large. Then, it is shown that under $\rm MAP$ decoding,
although the introduction of a list can significantly improve the involved
constants, the scaling exponent itself, i.e., the speed at which capacity is
approached, stays unaffected for any finite list size. In particular, this
result applies to polar codes, since their minimum distance tends to infinity
as the block length increases. A similar result is proved for genie-aided
successive cancellation decoding when transmission takes place over the binary
erasure channel, namely, the scaling exponent remains constant for any fixed
number of helps from the genie. Note that since genie-aided successive
cancellation decoding might be strictly worse than successive cancellation list
decoding, the problem of establishing the scaling exponent of the latter
remains open.


title: Cyclic Cosmology from the Little Rip

abstract:
  We revisit a cyclic cosmology scenario proposed in 2007 to examine whether
its hypotheses can be sustained if the underlying big rip evolution, which was
assumed there, is replaced by the recently proposed little rip. We show that
the separation into causal patches at turnaround is generally valid for a
little rip, and therefore conclude that the little rip is equally as suitable a
basis for cyclicity as is the big rip.


title:
Calorimetric study of multiaxial fluctuations in ferroelectric BaTiO3 in
  nonpolar cubic phase

abstract:
  Precise specific heat of barium titanate single crystals of different quality
has been measured with special attention to the temperature region above the
ferroelectric phase transition. It is shown that excess specific heat of the
multiaxial barium titanate in the paraelectric phase has a fluctuation nature
and its temperature dependence is in accordance with the theoretical
predictions of Levanyuk theory for multiaxial ferroelectrics. In this study the
first observation of fluctuation contribution to the specific heat is
presented.


title:
Two-term tilting complexes and simple-minded systems of self-injective
  Nakayama algebras

abstract:
  We study the relation between simple-minded systems and two-term tilting
complexes for self-injective Nakayama algebras. More precisely, we show that
any simple-minded system of a self-injective Nakayama algebra is the image of
the set of simple modules under a stable equivalence, which is given by the
restriction of a standard derived equivalence induced by a two-term tilting
complex. We achieve this by exploiting and connecting the mutation theories
from the combinatorics of Brauer tree, configurations of stable translations
quivers of type A, and triangulations of a punctured convex regular polygon.


title: 1/4-Pinched Contact Sphere Theorem

abstract:
  Given a closed contact 3-manifold with a compatible Riemannian metric, we
show that if the sectional curvature is 1/4-pinched, then the contact structure
is universally tight. This result improves the Contact Sphere Theorem in
[EKM12], where a 4/9-pinching constant was imposed. Some tightness results on
positively curved contact open 3-manifold are also discussed.


title: 2HDM at the LHC - the story so far

abstract:
  We confront the most common version of the CP-conserving 2HDM with LHC data,
taking into account all previously available experimental data. We also discuss
the scenario where the 125 GeV Higgs discovered at the LHC is the lightest
neutral scalar of a particular CP-violating 2HDM. In this scenario we focus on
what data can already tell us about the amount of mixing between CP-even and
CP-odd states.