title: Physics of counterion mediated attractions between double-stranded DNAs

abstract:
  Attraction between two indentical objects uniformly charged in solution seems
intuitively surprising on the one hand because we know that such objects do
repel in vacuum and on another hand because this simple mental picture is still
preserved within the Poisson-Boltzmann theory of ion-mediated interactions. We
will see, however, that by relaxing some contraints on the models used, one can
find ion-mediated attraction between uniformly charged objects in solution.
This allows to give some insights on the possible way two DNA double strands
attract each other in many biologically relevant cases.


title:
Vector Condensate and AdS Soliton Instability Induced by a Magnetic
  Field

abstract:
  We continue to study the holographic p-wave superconductor model in the
Einstein-Maxwell-complex vector field theory with a non-minimal coupling
between the complex vector field and the Maxwell field. In this paper we work
in the AdS soliton background which describes a conformal field theory in the
confined phase and focus on the probe approximation. We find that an applied
magnetic field can lead to the condensate of the vector field and the AdS
soliton instability. As a result, a vortex lattice structure forms in the
spatial directions perpendicular to the applied magnetic field. As a
comparison, we also discuss the vector condensate in the Einstein-SU(2)
Yang-Mills theory and find that in the setup of the present paper, the
Einstein-Maxwell-complex vector field model is a generalization of the SU(2)
model in the sense that the vector field has a general mass and gyromagnetic
ratio.


title:
Accelerated Event-by-Event Neutrino Oscillation Reweighting with Matter
  Effects on a GPU

abstract:
  Oscillation probability calculations are becoming increasingly CPU intensive
in modern neutrino oscillation analyses. The independency of reweighting
individual events in a Monte Carlo sample lends itself to parallel
implementation on a Graphics Processing Unit. The library "Prob3++" was ported
to the GPU using the CUDA C API, allowing for large scale parallelized
calculations of neutrino oscillation probabilities through matter of constant
density, decreasing the execution time by a factor of 75, when compared to
performance on a single CPU.


title:
Finding halo streams with a pencil-beam survey: new wraps in the
  Sagittarius stream

abstract:
  We use data from two CFHT-MegaCam photometric pencil-beam surveys in the g'
and the r' bands to measure distances to the Sagittarius, the Palomar 5 and the
Orphan stream. We show that, using a cross-correlation algorithm to detect the
turnoff point of the main sequence, it is possible to overcome the main
limitation of a two-bands pencil-beam survey, namely the lack of adjacent
control-fields that can be used to subtract the foreground and background stars
to enhance the signal on the colour-magnitude diagrams (CMDs). We describe the
cross-correlation algorithm and its implementation. We combine the resulting
main sequence turnoff points with theoretical isochrones to derive photometric
distances to the streams. Our results (31 detections on the Sagittarius stream
and one each for the Palomar 5 and the Orphan streams) confirm the findings by
previous studies, expand the distance trend for the Sagittarius faint southern
branch and, for the first time, trace the Sagittarius faint branch of the
northern-leading arm out to 56 kpc. In addition, they show evidence for new
substructure: we argue that these detections trace the continuation of the
Sagittarius northern-leading arm into the southern hemisphere, and find a
nearby branch of the Sagittarius trailing wrap in the northern hemisphere.


title: Deformations of large N=(4,4) 2D SCFT from 3D gauged supergravity

abstract:
  Supersymmetric and non-supersymmetric deformations of large $N=(4,4)$ SCFT
with superconformal symmetry $D^1(2,1;\alpha)\times D^1(2,1;\alpha)$ are
explored in the gravity dual described by a Chern-Simons $N=8$, $(SO(4)\times
SO(4))\ltimes \mathbf{T}^{12}$ gauged supergravity in three dimensions. For
$\alpha>0$, the gauged supergravity describes an effective theory of the
maximal supergravity in nine dimensions on $AdS_3\times S^3\times S^3$ with the
parameter $\alpha$ being the ratio of the two $S^3$ radii. We consider the
scalar manifold of the supergravity theory of the form $SO(8,8)/SO(8)\times
SO(8)$ and find a number of stable non-supersymmetric $AdS_3$ critical points
for some values of $\alpha$. These correspond to non-supersymmetric IR fixed
points of the UV $N=(4,4)$ SCFT dual to the maximally supersymmetric critical
point. We study the associated RG flow solutions interpolating between these
fixed points and the UV $N=(4,4)$ SCFT. Possible supersymmetric flows to
non-conformal field theories are also investigated. Additionally, a
half-supersymmetric domain wall within this gauged supergravity is obtained.


title: Bayesian nonparametric location-scale-shape mixtures

abstract:
  Discrete mixture models are one of the most successful approaches for density
estimation. Under a Bayesian nonparametric framework, Dirichlet process
location-scale mixture of Gaussian kernels is the golden standard, both having
nice theoretical properties and computational tractability. In this paper we
explore the use of the skew-normal kernel, which can naturally accommodate
several degrees of skewness by the use of a third parameter. The choice of this
kernel function allows us to formulate nonparametric location-scale-shape
mixture prior with large support and good performance in different
applications. Asymptotically, we show that this modelling framework is
consistent in frequentist sense. Efficient Gibbs sampling algorithms are also
discussed and the performance of the methods are tested through simulations and
applications to galaxy velocity and fertility data. Extensions to accommodate
discrete data are also discussed.


title: Loop cluster on the discrete circle

abstract:
  The loop clusters of a Poissonian ensemble of Markov loops on a finite or
countable graph have been studied in \cite{Markovian-loop-clusters-on-graphs}.
In the present article, we study the loop clusters associated with a rotation
invariant nearest neighbor walk on the discrete circle $G^{(n)}$ with $n$
vertices. We prove a convergence result of the loop clusters on $G^{(n)}$, as
$n\rightarrow\infty$, under suitable condition of the parameters. These
parameters are chosen in such a way that the rotation invariant nearest
neighbor walk on $G^{(n)}$, as $n\rightarrow\infty$, converges to a Brownian
motion on circle $\mathbb{S}^{1}=\mathbb{R}/\mathbb{Z}$ with certain drift and
killing rate. In the final section, we show that several limit results are
predicted by Brownian loop-soup on $\mathbb{S}^{1}$.


title: On the Communication Complexity of Secure Computation

abstract:
  Information theoretically secure multi-party computation (MPC) is a central
primitive of modern cryptography. However, relatively little is known about the
communication complexity of this primitive.
  In this work, we develop powerful information theoretic tools to prove lower
bounds on the communication complexity of MPC. We restrict ourselves to a
3-party setting in order to bring out the power of these tools without
introducing too many complications. Our techniques include the use of a data
processing inequality for residual information - i.e., the gap between mutual
information and G\'acs-K\"orner common information, a new information
inequality for 3-party protocols, and the idea of distribution switching by
which lower bounds computed under certain worst-case scenarios can be shown to
apply for the general case.
  Using these techniques we obtain tight bounds on communication complexity by
MPC protocols for various interesting functions. In particular, we show
concrete functions that have "communication-ideal" protocols, which achieve the
minimum communication simultaneously on all links in the network. Also, we
obtain the first explicit example of a function that incurs a higher
communication cost than the input length in the secure computation model of
Feige, Kilian and Naor (1994), who had shown that such functions exist. We also
show that our communication bounds imply tight lower bounds on the amount of
randomness required by MPC protocols for many interesting functions.


title: The LHCb prompt charm triggers

abstract:
  The LHCb experiment has fully reconstructed close to 10^9 charm hadron
decays---by far the world's largest sample. During the 2011-2012 running
periods, the effective proton-proton beam crossing rate was 11-15 MHz while the
rate at which events were written to permanent storage was 3-5 kHz. Prompt
charm candidates (produced at the primary interaction vertex) were selected
using a combination of exclusive and inclusive high level (software) triggers
in conjunction with low level hardware triggers. The efficiencies, background
rates, and possible biases of the triggers as they were implemented will be
discussed, along with plans for the running at 13 TeV in 2015 and subsequently
in the upgrade era.


title: Laminations g\'eod\'esiques plates

abstract:
  Since their introduction by Thurston, geodesic laminations on hyperbolic
surfaces occur in many contexts. In this paper, we propose a generalization of
geodesic laminations on locally CAT(0), complete, geodesic metric spaces, whose
boundary at infinity of the universal cover is endowed with a invariant total
cyclic order. Then we study these new objects on surfaces endowed with flat
structures and on finite metric graphs. The main result of the paper is a
theorem of classification of geodesic laminations on a compact surface endowed
with a flat structure. We also show that every finite metric graph, except
four, is the support of a geodesic lamination with uncountably many leaves none
of whose is eventually periodic.


title: Prime (-1,1) and Jordan monsters and superalgebras of vector type

abstract:
  It is proved that the prime degenerate (-1,1) algebra constructed in [13]
(the (-1,1)-monster) generates the same variety of algebras as the Grassman
(-1,1)-algebra. Moreover, the same variety is generated by the Grassmann
envelope of any simple nonassociative (-1,1)-superalgebra. The variety occurs
to be the smallest variety of (-1,1)-algebras that contains prime
nonassociative algebras. Similar results are obtained for Jordan algebras.
Thus, the Jordan monster (the prime degenerate algebra constructed in [13]) and
the Grassmann envelope of the prime Jordan superalgebra of vector type have the
same ideals of identities. It is also shown that the Jordan monster generates a
minimal variety that contains prime degenerate Jordan algebras. All the
algebras and superalgebras are considered over a field of characteristic 0.


title: Fibre laser hydrophones for cosmic ray particle detection

abstract:
  The detection of ultra high energetic cosmic neutrinos provides a unique
means to search for extragalactic sources that accelerate particles to extreme
energies. It allows to study the neutrino component of the GZK cut-off in the
cosmic ray energy spectrum and the search for neutrinos beyond this limit. Due
to low expected flux and small interaction cross-section of neutrinos with
matter large experimental set-ups are needed to conduct this type of research.
Acoustic detection of cosmic rays may provide a means for the detection of
ultra-high energetic neutrinos. Using relative low absorption of sound in
water, large experimental set-ups in the deep sea are possible that are able to
detect these most rare events, but it requires highly sensitive hydrophones as
the thermo-acoustic pulse originating from a particle shower in water has a
typical amplitude as low as a mPa. It has been shown in characterisation
measurements that the fibre optic hydrophone technology as designed and
realised at TNO provides the required sensitivity. Noise measurements and pulse
reconstruction have been conducted that show that the hydrophone is suited as a
particle detector.


title: Online Algorithms with Advice for Bin Packing and Scheduling Problems

abstract:
  We consider the setting of online computation with advice, and study the bin
packing problem and a number of scheduling problems. We show that it is
possible, for any of these problems, to arbitrarily approach a competitive
ratio of $1$ with only a constant number of bits of advice per request. For the
bin packing problem, we give an online algorithm with advice that is
$(1+\varepsilon)$-competitive and uses $O\left(\frac{1}{\varepsilon}\log
\frac{1}{\varepsilon} \right)$ bits of advice per request. For scheduling on
$m$ identical machines, with the objective function of any of makespan, machine
covering and the minimization of the $\ell_p$ norm, $p >1$, we give similar
results. We give online algorithms with advice which are
$(1+\varepsilon)$-competitive ($(1/(1-\varepsilon))$-competitive for machine
covering) and also use $O\left(\frac{1}{\varepsilon}\log \frac{1}{\varepsilon}
\right)$ bits of advice per request. We complement our results by giving a
lower bound showing that for any online algorithm with advice to be optimal,
for any of the above scheduling problems, a non-constant number (namely, at
least $\left(1 - \frac{2m}{n}\right)\log m$, where $n$ is the number of jobs
and $m$ is the number of machines) of bits of advice per request is needed.


title: Universal Polar Decoding with Channel Knowledge at the Encoder

abstract:
  Polar coding over a class of binary discrete memoryless channels with channel
knowledge at the encoder is studied. It is shown that polar codes achieve the
capacity of convex and one-sided classes of symmetric channels.


title: $Z_{c}(3900)$ as a tetraquark state: decay width in QCD sum rules

abstract:
  Supposing the $Z_{c}^{+}(3900)$ as a charged partner of the X(3872), we use
the QCD sum rules techinques in order to obtain the coupling constants of the
$Z_{c}^{+} \, J/\psi\, \pi^{+}$, $Z_{c}^{+}\, \eta_{c}\, \rho^{+}$ and
$Z_{c}^{+}\,D^{+}\, \bar{D}^{*}$ vertices and the corresponding decay width of
these channels. We considered that the $Z_{c}(3900)$ can be described by a
tetraquark current with the $J^{PC}=1^{+-}$ quantum numbers. As a result, we
obtained a decay width value in good agreement with the experimental values
reported by BESIII and Belle collaborations.


title: Entanglement in dissipative dynamics of identical particles

abstract:
  Entanglement of identical massive particles recently gained attention,
because of its relevance in highly controllable systems, e.g. ultracold gases.
It accounts for correlations among modes instead of particles, providing a
different paradigm for quantum information. We prove that the entanglement of
almost all states rarely vanishes in the presence of noise, and analyse the
most relevant noise in ultracold gases: dephasing and particle losses.
Furthermore, when the particle number increases, the entanglement decay can
turn from exponential into algebraic.


title: Relativistic 3D jet simulations for the X-ray binary SS433

abstract:
  Context. Modern high resolution observations allow to view closer into the
objects powering relativistic jets. This is especially the case for SS433, an
X-ray binary from which a precessing jet is observed down to the sub-parsec
scale.
  Aims. We want to study full 3D dynamics of relativistic jets associated with
AGN or XRB. We study the precessing motion of a jet as a model for the jet
associated with the XRB SS433. Our study of the jet dynamics in this system
focuses on the sub-parsec scales. We investigate the impact of jet precession
and the variation of the Lorentz factor of the injected matter on the general
3D jet dynamics and its energy transfer to the surrounding medium. We realize
synthetic radio mapping of the data, to compare our results with observations.
  Methods. For our study we use the code MPI-AMRVAC with SRHD model of a
baryonic jet. We use a AMR scheme and an inner time-dependent boundary
prescription to inject the jets. Parameters extracted from observations were
used. 3D jet realizations that match the SS433 jet are intercompared. We track
the energy content, as deposited in different regions of the domain affected by
the jet. Our code also follows a population of particles injected with the jet.
This evolving energy spectrum of accelerated electrons, allows to obtain the
radio emission from our simulation.
  Results. we obtain meaningful observations. We find increased energy transfer
for a precessing jet compared to a standing jets. We obtain synthetic radio
maps for all jets.
  Conclusions. The synthetic radio map matches best for a model using the
canonical kinematic model. Overdense precessing jets experience significant
deceleration in their propagation through the ISM, and while the overall jet is
of helical shape. This argument show that the kinematic model for SS433
assuming ballistic propagation has to be corrected for this decelretaion.


title: XYZ States - Results from Experiments

abstract:
  Charmonium(-like) or bottomonium(-like) states, which are incompatible with
predictions from a static quark anti-quark potential model, are often refered
to as XYZ states. In this lecture, some peculiar properties of states such as
the X(3872), the Y(4260), or the Zc(3900) are explained. Such properties are
utmost proximity to a threshold, overpopulation of states, or possibly binding
in the regime of string breaking. Among decays, the surprising observation of
isospin violation, and using radiative decays for the observation of a D-wave
state is discussed. A second part of the lecture presents recent precision
measurements of masses of newly observed bottomonium states. These masses can
be used for testing particular aspects of the potential, such as test of the
tensor term or test of the flavor independence. At the end, an example is
given, how future experiments may be able to measure widths of a
charmonium(-like) state in the sub-MeV regime.


title:
The Characteristic Function of the Renormalized Intersection Local Time
  of the Planar Brownian Motion

abstract:
  In this article we study the distribution of the number of points of a simple
random walk, visited a given number of times (the k-multiple point range). In a
previous article we had developed a graph theoretical approach which is now
extended from the closed to the the non restricted walk. Based on a study of
the analytic properties of the first hit determinant a general method to define
and calculate the generating functions of the moments of the distribution as
analytical functions and express them as an absolutely converging series of
graph contributions is given. So a method to calculate the moments for large
length in any dimension d > 1 is developed. As an application the centralized
moments of the distribution in two dimensions are completely calculated for the
closed and the non restricted simple random walk in leading order with all
logarithmic corrections of any order. As is well known we therefore have also
calculated the characteristic function of the distribution of the renormalized
intersection local time of the planar Brownian motion. It turns out to be
closely related to the planar Phi-4 theory.


title: Transient Point Source Analyses in the ANTARES Neutrino Telescope

abstract:
  The ANTARES telescope, with a duty cycle close to unity and a full hemisphere
of the sky at all the times visible, is well suited to detect neutrinos
produced in astrophysical transient sources. Assuming a known neutrino
production period, the background and the sensitivity can be drastically
improved by selecting a narrow time window around it. GRBs, {\mu}-quasars and
AGNs are particularly attractive potential neutrino point sources since
neutrinos and gamma-rays may be produced in hadronic interactions with the
surrounding medium as they are the most likely sources of the observed ultra
high energy cosmic rays. A strong correlation between the gamma-ray and the
neutrino fluxes is expected in this scenario. ANTARES data has been analysed in
various transient source analyses with the goal of detecting cosmic neutrinos
from GRBs, {\mu}-quasars and AGNs. The sensitivity of a standard
time-integrated point source search can be improved by a factor 2-3 by looking
for neutrinos only during the most probable emission time. This information can
be provided by the different satellite telescope types on the X-rays and
gamma-rays wavelengths. The results of these different analyses will be
presented.


title: New Studies of XYZ States at PANDA

abstract:
  Monte Carlo simulations for charmonium(-like) states at the planned PANDA
experiment are presented, in particular the search for the $h_c'$, the search
for the $^3F_4$ state and the search for the rare decay
Y(4260)$\rightarrow$$e^+$$e^-$.


title: Polymer nanofibers as novel light-emitting sources and lasing material

abstract:
  Polymer micro- and nano-fibers, made of organic light-emitting materials with
optical gain, show interesting lasing properties. Fibers with diameters from
few tens of nm to few microns can be fabricated by electrospinning, a method
based on electrostatic fields applied to a polymer solution. The morphology and
emission properties of these fibers, composed of optically inert polymers
embedding laser dyes, are characterized by scanning electron and fluorescence
microscopy, and lasing is observed under optical pumping for fluences of the
order of 10^2 microJ cm^-2. In addition, light-emitting fibers can be
electrospun by conjugated polymers, their blends, and other active organics,
and can be exploited in a range of photonic and electronic devices. In
particular, waveguiding of light is observed and characterized, showing optical
loss coefficient in the range of 10^2-10^3 cm^-1. The reduced size of these
novel laser systems, combined with the possibility of achieving wavelength
tunability through transistor or other electrode-based architectures embedding
non-linear molecular layers, and with their peculiar mechanical robustness,
open interesting perspectives for realizing miniaturized laser sources to
integrate on-chip optical sensors and photonic circuits.


title: Universal scaling of Lyapunov-exponent fluctuations in space-time chaos

abstract:
  Finite-time Lyapunov exponents of generic chaotic dynamical systems fluctuate
in time. These fluctuations are due to the different degree of stability across
the accessible phase-space. A recent numerical study of spatially-extended
systems has revealed that the diffusion coefficient D of the Lyapunov exponents
(LEs) exhibits a non-trivial scaling behavior, D(L) ~ L^{-\gamma}, with the
system size L. Here, we show that the wandering exponent \gamma can be
expressed in terms of the roughening exponents associated with the
corresponding "Lyapunov-surface". Our theoretical predictions are supported by
the numerical analysis of several spatially-extended systems. In particular, we
find that the wandering exponent of the first LE is universal: in view of the
known relationship with the Kardar-Parisi-Zhang equation, \gamma can be
expressed in terms of known critical exponents. Furthermore, our simulations
reveal that the bulk of the spectrum exhibits a clearly different behavior and
suggest that it belongs to a possibly unique universality class, which has,
however, yet to be identified.


title:
On the inference of stellar ages and convective-core properties in
  main-sequence solar-like pulsators

abstract:
  Particular diagnostic tools may isolate the signature left on the oscillation
frequencies by the presence of a small convective core. Their frequency
derivative is expected to provide information about convective core's
properties and stellar age. The main goal of this work is to study the
potential of the diagnostic tools with regards to the inference of stellar age
and stellar core's properties. For that, we computed diagnostic tools and their
frequency derivatives from the oscillation frequencies of main-sequence models
with masses between 1.0 and $1.6\,{\rm\,M}_{\odot}$ and with different physics.
We considered the dependence of the diagnostic tools on stellar age and on the
size of the relative discontinuity in the squared sound speed at the edge of
the convectively unstable region. We find that the absolute value of the
frequency derivatives of the diagnostic tools increases as the star evolves on
the main sequence. The fraction of stellar main-sequence evolution for models
with masses $>1.2\,{\rm\,M}_{\odot}$ may be estimated from the frequency
derivatives of two of the diagnostic tools. For lower mass models, constraints
on the convective core's overshoot can potentially be derived based on the
analysis of the same derivatives. For at least 35 per cent of our sample of
stellar models the frequency derivative of the diagnostic tools takes its
maximum absolute value on the frequency range where observed oscillations may
be expected.


title: Measurement of $A_{\Gamma}$

abstract:
  The measurement of the charm CP violation observable $A_{\Gamma}$ using 1
fb$^{-1}$ of $pp$ collisions at $\sqrt{s}=7$ TeV recorded by the LHCb detector
in 2011 is presented. This new result is the most accurate to date.


title: Parameter identification problems in the modelling of cell motility

abstract:
  We present a novel parameter identification algorithm for the estimation of
parameters in models of cell motility using imaging data of migrating cells.
Two alternative formulations of the objective functional that measures the
difference between the computed and observed data are proposed and the
parameter identification problem is formulated as a minimisation problem of
nonlinear least squares type. A Levenberg-Marquardt based optimisation method
is applied to the solution of the minimisation problem and the details of the
implementation are discussed. A number of numerical experiments are presented
which illustrate the robustness of the algorithm to parameter identification in
the presence of large deformations and noisy data and parameter identification
in three dimensional models of cell motility. An application to experimental
data is also presented in which we seek to identify parameters in a model for
the monopolar growth of fission yeast cells using experimental imaging data.


title:
On multiple frequency power density measurements II. The full Maxwell's
  equations

abstract:
  We shall give conditions on the illuminations $\varphi_{i}$ such that the
solutions to Maxwell's equations \[ \left\{ \begin{array}{l} {\rm curl}
E^{i}=i\omega\mu H^{i}\qquad\text{in }\Omega,\\ {\rm curl}
H^{i}=-i(\omega\varepsilon+i\sigma)E^{i}\qquad\text{in }\Omega,\\
E^{i}\times\nu=\varphi_{i}\times\nu\qquad\text{on }\partial\Omega,
\end{array}\right. \] satisfy certain non-zero qualitative properties inside
the domain $\Omega$, provided that a finite number of frequencies $\omega$ are
chosen in a fixed range. The illuminations are explicitly constructed. This
theory finds applications in several hybrid imaging problems, where unknown
parameters have to be imaged from internal measurements. Some of these examples
are discussed. This paper naturally extends a previous work of the author
[Inverse Problems 29 (2013) 115007], where the Helmholtz equation was studied.


title:
Exact zero modes and decoherence in systems of interacting Majorana
  fermions

abstract:
  Majorana fermions often coexist with other low-energy fermionic degrees of
freedom. In such situation, topological quantum computation requires the use of
fermionic zero modes of a many-body system. We classify all such modes for
interacting fermions and show how to select the mode that maximizes the
decoherence time. We find that in a typical interacting system the maximal
decoherence time is within one order of magnitude from the decoherence time of
a qbit based on the local part of the fermion parity operator.


title:
Optical signatures of antiferromagnetic ordering of fermionic atoms in
  an optical lattice

abstract:
  We show how off-resonant light scattering can provide quantitative
information on antiferromagnetic ordering of a two-species fermionic atomic gas
in a tightly-confined two-dimensional optical lattice. We analyze the emerging
magnetic ordering of atoms in the mean-field and in random phase approximations
and show how the many-body static and dynamic correlations, evaluated in the
standard Feynman-Dyson perturbation series, can be detected in the scattered
light signal. The staggered magnetization reveals itself in the magnetic Bragg
peaks of the individual spin components. These magnetic peaks, however, can be
considerably suppressed in the absence of a true long-range antiferromagnetic
order. The light scattered outside the diffraction orders can be collected by a
lens a with highly improved signal-to-shot-noise ratio when the diffraction
maxima are blocked. The collective and single-particle excitations are
identified in the spectrum of the scattered light. We find that the
spin-conserving and spin-exchanging atomic transitions convey information on
density, longitudinal spin, and transverse spin correlations. The different
correlations and scattering processes exhibit characteristic angular
distribution profiles for the scattered light and, e.g., the diagnostic signal
of transverse spin correlations could be separated from the signal by the
scattering direction, frequency, or polarization. We also analyze the detection
accuracy by estimating the number of required measurements, constrained by the
heating rate that is determined by inelastic light scattering events. The
imaging technique could be extended to the two-species fermionic states in
other regions of the phase diagram where the ground state properties are still
not fully understood.


title: Benford's Law and Distractors in Multiple Choice Exams

abstract:
  Suppose that in a multiple choice examination the leading digit of the
correct options follows Benford's Law, while the the leading digit of the
distractors are uniform. Consider a strategy for guessing at answers that
selects the option with the lowest leading digit with ties broken at random. We
provide an expression for the probability that this strategy selects the
correct option.


title:
Pointwise weak existence of distorted skew Brownian motion with respect
  to discontinuous Muckenhoupt weights

abstract:
  For any starting point in $\mathbb{R}^d$, we identify the stochastic
differential equation that is satisfied by distorted Brownian motion with
respect to a certain discontinuous Muckenhoupt $A_2$-weight $\psi$. The
discontinuities of $\psi$ typically take place on a sequence of level sets of
the Euclidean norm $D_k:=\{x\in \mathbb{R}^d\, | \;\|x\|=d_k\}$,
$k\in\mathbb{Z}$, where $(d_k)_{k\in\mathbb{Z}}\subset (0,\infty)$ may have
accumulation points and each level set $D_k$ plays the role of a permeable
membrane.


title: Mordell-Lang in positive characteristic

abstract:
  We give a new proof of the Mordell-Lang conjecture in positive characteristic
for finitely generated subgroups. We also make some progress towards the full
Mordell-Lang conjecture in positive characteristic.


title: Laminations g\'eod\'esiques plates mesur\'ees

abstract:
  In [Mor], we have introduced a notion of flat laminations on surfaces endowed
with a flat structure, similar to geodesic laminations on hyperbolic surfaces.
Here is a sequel to this article that aims at defining transversal measures on
flat laminations similar to transversal measures on hyperbolic laminations,
taking into account that two different leaves of a flat lamination may no
longer disjoint. Then, we define a topology on the set of measured flat
laminations and show that its projective space is compact. Finally, we define
the dual tree to a measured flat lamination.


title:
From nucleon-nucleon interaction matrix elements in momentum space to an
  operator representation

abstract:
  Starting from the matrix elements of the nucleon-nucleon interaction in
momentum space we present a method to derive an operator representation with a
minimal set of operators that is required to provide an optimal description of
the partial waves with low angular momentum. As a first application we use this
method to obtain an operator representation for the Argonne potential
transformed by means of the unitary correlation operator method and discuss the
necessity of including momentum dependent operators. The resulting operator
representation leads to the same results as the original momentum space matrix
elements when applied to the two-nucleon system and various light nuclei. For
applications in fermionic and antisymmetrized molecular dynamics, where an
operator representation of a soft but realistic effective interaction is
indispensable, a simplified version using a reduced set of operators is given.


title:
Evaluations of low-energy physical quantities in QCD with IR freezing of
  the coupling

abstract:
  MSbar-like schemes in QCD have in general the running coupling which contains
Landau singularities, i.e., singularities outside the timelike semi-axis, at
low squared momenta. As a consequence, evaluation of the spacelike quantities,
such as current correlators, in terms of (powers of) such a coupling then
results in quantities which contradict the basic principles of Quantum Field
Theories. On the other hand, in those QCD frameworks where the running coupling
remains finite at low squared momenta (IR freezing), the coupling usually does
not have Landau singularities in the complex plane of the squared momenta. I
argue that in such QCD frameworks the spacelike quantities should not be
evaluated as a power series, but rather as a series in derivatives of the
coupling with respect to the logarithm of the squared momenta. Such series show
considerably better convergence properties. Moreover, Pade-related resummations
of such logarithmic derivative series give convergent series, thus eliminating
the practical problem of series divergence due to renormalons.


title: Guaranteed energy-efficient bit reset in finite time

abstract:
  Landauer's principle states that it costs at least kTln2 of work to reset one
bit in the presence of a heat bath at temperature T. The bound of kTln2 is
achieved in the unphysical infinite-time limit. Here we ask what is possible if
one is restricted to finite-time protocols. We prove analytically that it is
possible to reset a bit with a work cost close to kTln2 in a finite time. We
construct an explicit protocol that achieves this, which involves changing the
system's Hamiltonian avoiding quantum coherences, and thermalising. Using
concepts and techniques pertaining to single-shot statistical mechanics, we
further develop the limit on the work cost, proving that the heat dissipated is
close to the minimal possible not just on average, but guaranteed with high
confidence in every run. Moreover we exploit the protocol to design a quantum
heat engine that works near the Carnot efficiency in finite time.


title:
Kinetic freeze-out, particle spectra and harmonic flow coefficients from
  mode-by-mode hydrodynamics

abstract:
  The kinetic freeze-out for the hydrodynamical description of relativistic
heavy ion collisions is discussed using a background-fluctuation splitting of
the hydrodynamical fields. For a single event, the particle spectrum, or its
logarithm, can be written as the sum of background part that is symmetric with
respect to azimuthal rotations and longitudinal boosts and a part containing
the contribution of fluctuations or deviations from the background. Using a
complete orthonormal basis to characterize the initial state allows one to
write the double differential harmonic flow coefficients determined by the
two-particle correlation method as matrix expressions involving the initial
fluid correlations. We discuss the use of these expressions for a mode-by-mode
analysis of fluctuating initial conditions in heavy ion collisions.


title:
Controlling magnetic order and quantum disorder in one- and
  zero-dimensional molecule-based magnets

abstract:
  We investigate the structural and magnetic properties of two molecule-based
magnets synthesized from the same starting components. Their different
structural motifs promote contrasting exchange pathways and consequently lead
to markedly different magnetic ground states. Through examination of their
structural and magnetic properties we show that
[Cu(pyz)(H$_{2}$O)(gly)$_{2}$](ClO$_{4}$)$_{2}$ may be considered a
quasi-one-dimensional quantum Heisenberg antiferromagnet while the related
compound [Cu(pyz)(gly)](ClO$_{4}$), which is formed from dimers of
antiferromagnetically interacting Cu$^{2+}$ spins, remains disordered down to
at least 0.03 K in zero field, but shows a field-temperature phase diagram
reminiscent of that seen in materials showing a Bose-Einstein condensation of
magnons.


title: A duplicate pair in the SnapPea census

abstract:
  We identify a duplicate pair in the well-known Callahan-Hildebrand-Weeks
census of cusped finite-volume hyperbolic 3-manifolds. Specifically, the
six-tetrahedron non-orientable manifolds x101 and x103 are homeomorphic.


title: Smooth Curve from noisy 2-Dimensional Dataset

abstract:
  In this paper we will be represent the transformation of a noisy dataset into
a regular and smooth curve. We performed torsion test on 15Cr 15Ni Titanium
modified austenitic stainless steel up to its rupture. We did it these torsion
tests multiple strain rates varying from 0.001 to 25 per Sec and obtained huge
number of data points has been obtained from with a data acquisition rate of
100 Hz. We also have few more data of 1500Hz of the same experiment on a
different material e.g 316 L Austenitic Stainless Steel. Machine is actually
acquiring only torque value and the angle of rotation. The torque vs. twist
data itself will be having a noise, which gets multiplied when we take the
first derivative of torque-twist data. The noise becomes huge and it fluctuates
from desired material properties, although some serrated flow should be present
but the range of serration should not be as the fluctuation observed in our
curve so smoothing was necessary. We will be documenting final shear
stress-strain curve we achieved through Nonparametric Regression Lowess and
Loess, Savitzky Golay filtering, and also the robust Nonparametric Regressions,
body splines and shape preserving curves. The most acceptable one is Savitzky
Golay method for our experiment or one can choose splines or loess or lowess
according to the object of interest.


title:
Effective Medium Theory for Drag Reducing Micro-patterned Surfaces in
  Turbulent Flows

abstract:
  Inspired by the lotus effect, many studies in the last decade have focused on
micro- and nano-patterned surfaces. They revealed that patterns at the
micro-scale combined with high contact angles can significantly reduce skin
drag. However, the mechanisms and parameters that control drag reduction, e.g.
Reynolds number and pattern geometry, are still unclear. We propose an
effective medium representation of the micro-features, that treats the latter
as a porous medium, and provides a framework to model flow over patterned
surfaces in both Cassie and Wenzel states. Our key result is a closed-form
expression for the skin friction coefficient in terms of frictional Reynolds
(or K\'arm\'an) number in turbulent regime, the viscosity ratio between the
fluid in and above the features, and their geometrical properties. We apply the
proposed model to turbulent flows over superhydrophobic ridged surfaces. The
model predictions agree with laboratory experiments for Reynolds numbers
ranging from 3000 to 10000.


title:
Connection between orbital modulation of H-alpha and gamma-rays in the
  Be/X-ray binary LSI+61303

abstract:
  We studied the average orbital modulation of various parameters (gamma-ray
flux, H-alpha emission line, optical V band brightness) of the radio- and
gamma-ray emitting Be/X-ray binary LSI+61303. Using the Spearman rank
correlation test, we found highly significant correlations between the orbital
variability of the equivalent width of the blue hump of the H-alpha and
Fermi-LAT flux with a Spearman p-value 2e-5, and the equivalent widths ratio
EW_B/EW_R and Fermi-LAT flux with p-value 9e-5. We also found a significant
anti-correlation between Fermi-LAT flux and V band magnitude with p-value
7.10^{-4}.
  All these correlations refer to the average orbital variability, and we
conclude that the H-alpha and gamma-ray emission processes in LSI+61303 are
connected. The possible physical scenario is briefly discussed.


title: Casimir forces on atoms in optical cavities

abstract:
  Casimir-type forces, such as those between two neutral conducting plates, or
between a sphere, atom or molecule and a plate have been widely studied and are
becoming of increasing significance, for example, in nanotechnology. A key
challenge is to better understand, from a fundamental microscopic approach, why
the Casimir force is in some circumstances attractive and in others repulsive.
Here, we study the Casimir-Polder forces experienced by small quantum systems
such as atoms or molecules in an optical cavity. In order to make the problem
more tractable, we work in a 1+1 dimensional setting, we take into account only
the ground state and first excited state of the atom and we model the
electromagnetic field as a scalar field with Dirichlet or Neumann boundary
conditions. This allows us to determine the conditions for the Casimir force to
be attractive or repulsive for individual atoms, namely through the interplay
of paramagnetic and diamagnetic vacuum effects. We also study the
microscopic-macroscopic transition, finding that as the number of atoms in the
cavity is increased, the atoms start to affect the Casimir force exerted on the
cavity walls similarly to a dielectric medium.


title:
Magnon radiation by moving Abrikosov vortices in ferromagnetic
  superconductors and superconductor-ferromagnet multilayers

abstract:
  In systems combining type-II superconductivity and magnetism the
non-stationary magnetic field of moving Abrikosov vortices may excite spin
waves, or magnons. This effect leads to the appearance of an additional damping
force acting on the vortices. By solving the London and Landau-Lifshitz-Gilbert
equations we calculate the magnetic moment induced force acting on vortices in
ferromagnetic superconductors and superconductor/ferromagnet superlattices. If
the vortices are driven by a dc force, magnon generation due to the Cherenkov
resonance starts as the vortex velocity exceeds some threshold value. For an
ideal vortex lattice this leads to an anisotropic contribution to the
resistivity and to the appearance of resonance peaks on the current voltage
characteristics. For a disordered vortex array the current will exhibit a
step-like increase at some critical voltage. If the vortices are driven by an
ac force with a frequency \omega, the interaction with magnetic moments will
lead to a frequency-dependent magnetic contribution \eta_M to the vortex
viscosity. If \omega is below the ferromagnetic resonance frequency \omega_F,
vortices acquire additional inertia. For \omega > \omega_F dissipation is
enhanced due to magnon generation. The viscosity \eta_M can be extracted from
the surface impedance of the ferromagnetic superconductor. Estimates of the
magnetic force acting on vortices for the U-based ferromagnetic superconductors
and cuprate/manganite superlattices are given.


title: Counting real rational curves on K3 surfaces

abstract:
  We provide a real analog of the Yau-Zaslow formula counting rational curves
on $K3$ surfaces.


title: Resonant optical pumping of a Mn spin in a strain free quantum dot

abstract:
  We report on the spin properties of individual Mn atoms in II-VI
semiconductor strain free quantum dots. Strain free Mn-doped CdTe quantum dots
are formed by width fluctuations in thin quantum wells lattice matched on a
CdTe substrate. These quantum dots permit to optically probe and address any
spin state of a Mn atom in a controlled strain environment. The absence of
strain induced magnetic anisotropy prevents an optical pumping of the Mn spin
at zero magnetic field. Thus, a large photoluminescence is obtained under
resonant optical excitation of the exciton-Mn complex. An efficient optical
pumping of the coupled electronic and nuclear spins of the Mn is restored under
a weak magnetic field. The observed reduction of the resonant photoluminescence
intensity under magnetic field is well described by a model including the
hyperfine coupling and a residual crystal field splitting of the Mn atom.
Finally, we show that the second order correlation function of the resonant
photoluminescence presents a large photon bunching at short delay which is a
probe of the dynamics of coupled electronic and nuclear spins of the Mn atom.


title:
Global helioseismic evidence for a deeply penetrating Solar meridional
  flow consisting of multiple flow cells

abstract:
  We use a novel global helioseismic analysis method to infer the meridional
flow in the deep Solar interior. The method is based on the perturbation of
eigenfunctions of Solar p modes due to meridional flow. We apply this method to
time series obtained from Dopplergrams measured by the Michelson Doppler Imager
aboard the Solar and Heliospheric Observatory (SOHO) covering the observation
period 2004-2010. Our results show evidence that the meridional flow reaches
down to the base of the convection zone. The flow profile has a complex spatial
structure consisting of multiple flow cells distributed in depth and latitude.
Toward the Solar surface, our results are in good agreement with flow
measurements from local helioseismology.


title:
Fermi surface contours obtained from STM images around surface point
  defects

abstract:
  We present a theoretical analysis of the standing wave patterns in STM
images, which occur around surface point defects. We consider arbitrary
dispersion relations for the surface states and calculate the conductance for a
system containing a small-size tunnel contact and a surface impurity. We find
rigorous theoretical relations between the interference patterns in the
real-space STM images, their Fourier transforms and the Fermi contours of
two-dimensional electrons. We propose a new method for reconstructing Fermi
contours of surface electron states, directly from the real-space STM images
around isolated surface defects.


title: A Topological Variation of the Reconstruction Conjecture

abstract:
  This paper investigates topological reconstruction, related to the
reconstruction conjecture in graph theory. We ask whether the homeomorphism
types of subspaces of a space $X$ which are obtained by deleting singletons
determine $X$ uniquely up to homeomorphism. If the question can be answered
affirmatively, such a space is called reconstructible.
  We prove that in various cases topological properties can be reconstructed.
As main result we find that familiar spaces such as the reals $\mathbb{R}$, the
rationals $\mathbb{Q}$ and the irrationals $P$ are reconstructible, as well as
spaces occurring as Stone-Cech compactifications. Moreover, some
non-reconstructible spaces are discovered, amongst them the Cantor set $C$.


title: Digital Quantum Simulation of Spin Systems in Superconducting Circuits

abstract:
  We propose the implementation of a digital quantum simulator for prototypical
spin models in a circuit quantum electrodynamics architecture. We consider the
feasibility of the quantum simulation of Heisenberg and frustrated Ising models
in transmon qubits coupled to coplanar waveguide microwave resonators.
Furthermore, we analyze the time evolution of these models and compare the
ideal spin dynamics with a realistic version of the proposed quantum simulator.
Finally, we discuss the key steps for developing the toolbox of digital quantum
simulators in superconducting circuits.


abstract:
  Tables of crystallographic properties of double antisymmetry space groups,
including symmetry element diagrams, general position diagrams, and positions,
with multiplicities, site symmetries, coordinates, spin and roto vectors are
presented.


title:
Liquid and back gate coupling effect: towards biosensing with lowest
  detection limit

abstract:
  We employ noise spectroscopy and transconductance measurements to establish
the optimal regimes of operation for our fabricated silicon nanowire
field-effect transistors (Si NW FETs) sensors. A strong coupling between the
liquid gate and back gate (the substrate) has been revealed and used for
optimisation of signal-to-noise ratio in sub-threshold as well as
above-threshold regimes. Increasing the sensitivity of Si NW FET sensors above
the detection limit has been predicted and proven by direct experimental
measurements.


title: Bredon-Poincare Duality Groups

abstract:
  If $G$ is a group which admits a manifold model for $\mathrm{B}G$ then $G$ is
a Poincar\'e duality group. We study a generalisation of Poincar\'e duality
groups, introduced initially by Davis and Leary, motivated by groups $G$ with
cocompact manifold models $M$ for $\underline{\mathrm{E}}G$ where $M^H$ is a
contractible submanifold for all finite subgroups $H$ of $G$. We give several
sources of examples and constructions of these Bredon-Poincar\'e duality
groups, including using the equivariant reflection group trick of Davis and
Leary to construct examples of Bredon-Poincar\'e duality groups arising from
actions on manifolds $M$ where the dimensions of the submanifolds $M^H$ are
specified. We classify Bredon-Poincar\'e duality groups in low dimensions, and
discuss behaviour under group extensions and graphs of groups.


title:
Easy quantum groups and quantum subgroups of a semi-direct product
  quantum group

abstract:
  We consider compact matrix quantum groups whose fundamental corepresentation
matrix has entries which are partial isometries with central support. We show
that such quantum groups have a simple representation as semi-direct product
quantum groups of a group dual quantum group by an action of a permutation
group. This general result allows us to completely classify easy quantum groups
with the above property by certain reflection groups. We give four applications
of our result. First, there are uncountably many easy quantum groups. Second,
there are non-easy quantum groups between the free orthogonal quantum group and
the permutation group. Third, we study operator algebraic properties of the
hyperoctahedral series. Finally, we prove a generalised de Finetti theorem for
easy quantum groups in the scope of this article.


title: Absorption Time of the Moran Process

abstract:
  The Moran process models the spread of mutations in populations on graphs. We
investigate the absorption time of the process, which is the time taken for a
mutation introduced at a randomly chosen vertex to either spread to the whole
population, or to become extinct. It is known that the expected absorption time
for an advantageous mutation is O(n^4) on an n-vertex undirected graph, which
allows the behaviour of the process on undirected graphs to be analysed using
the Markov chain Monte Carlo method. We show that this does not extend to
directed graphs by exhibiting an infinite family of directed graphs for which
the expected absorption time is exponential in the number of vertices. However,
for regular directed graphs, we show that the expected absorption time is
Omega(n log n) and O(n^2). We exhibit families of graphs matching these bounds
and give improved bounds for other families of graphs, based on isoperimetric
number. Our results are obtained via stochastic dominations which we
demonstrate by establishing a coupling in a related continuous-time model. The
coupling also implies several natural domination results regarding the fixation
probability of the original (discrete-time) process, resolving a conjecture of
Shakarian, Roos and Johnson.


title: Global structure of regular tori in a generic 4D symplectic map

abstract:
  For the case of generic 4D symplectic maps with a mixed phase space we
investigate the global organization of regular tori. For this we compute
elliptic 1-tori of two coupled standard maps and display them in a 3D
phase-space slice. This visualizes how all regular 2-tori are organized around
a skeleton of elliptic 1-tori in the 4D phase space. The 1-tori occur in two
types of one-parameter families: (a) Lyapunov families emanating from
elliptic-elliptic periodic orbits, which are observed to exist even far away
from them and beyond major resonance gaps, and (b) families originating from
rank-1 resonances. At resonance gaps of both types of families either (i)
periodic orbits exist, similar to the Poincare-Birkhoff theorem for 2D maps, or
(ii) the family may form large bends. In combination these results allow for
describing the hierarchical structure of regular tori in the 4D phase space
analogously to the islands-around-islands hierarchy in 2D maps.


title: Extending higher dimensional quasi-cocycles

abstract:
  Let G be a group admitting a non-elementary acylindrical action on a Gromov
hyperbolic space (for example, a non-elementary relatively hyperbolic group, or
the mapping class group of a closed hyperbolic surface, or Out(F_n) for n>1).
We prove that, in degree 3, the bounded cohomology of G with real coefficients
is infinite-dimensional. Our proof is based on an extension to higher degrees
of a recent result by Hull and Osin. Namely, we prove that, if H is a
hyperbolically embedded subgroup of G and V is any G-module, then any n-quasi
cocycle on H with values in V may be extended to G. Also, we show that our
extensions detect the geometry of the embedding of hyperbolically embedded
subgroups, in a suitable sense.


title:
Complete Localisation and Exponential Shape of the Parabolic Anderson
  Model with Weibull Potential Field

abstract:
  We consider the parabolic Anderson model with Weibull potential field, for
all values of the Weibull parameter. We prove that the solution is eventually
localised at a single site with overwhelming probability (complete
localisation) and, moreover, that the solution has exponential shape around the
localisation site. We determine the localisation site explicitly, and derive
limit formulae for its distance, the profile of the nearby potential field and
its ageing behaviour. We also prove that the localisation site is determined
locally, that is, by maximising a certain time-dependent functional that
depends only on: (i) the value of the potential field in a neighbourhood of
fixed radius around a site; and (ii) the distance of that site to the origin.


title: Concurrent bisimulation algorithm

abstract:
  The coarsest bisimulation-finding problem plays an important role in the
formal analysis of concurrent systems. For example, solving this problem allows
the behavior of different processes to be compared or specifications to be
verified. Hence, in this paper an efficient concurrent bisimulation algorithm
is presented. It is based on the sequential Paige and Tarjan algorithm and the
concept of the state signatures. The original solution follows Hopcroft's
principle "process the smaller half". The presented algorithm uses its
generalized version "process all but the largest one" better suited for
concurrent and parallel applications. The running time achieved is comparable
with the best known sequential and concurrent solutions. At the end of the
work, the results of tests carried out are presented. The question of the lower
bound for the running time of the optimal algorithm is also discussed.


title: A simplified discharging proof of Gr\"otzsch theorem

abstract:
  In this note, we combine ideas of several previous proofs in order to obtain
a quite short proof of Gr\"otzsch theorem.


title: State-Dependent Approach to Entropic Measurement-Disturbance Relations

abstract:
  Heisenberg's intuition was that there should be a tradeoff between measuring
a particle's position with greater precision and disturbing its momentum.
Recent formulations of this idea have focused on the question of how well two
complementary observables can be jointly measured. Here, we provide an
alternative approach based on how enhancing the predictability of one
observable necessarily disturbs a complementary one. Our
measurement-disturbance relation refers to a clear operational scenario and is
expressed by entropic quantities with clear statistical meaning. We show that
our relation is perfectly tight for all measurement strengths in an existing
experimental setup involving qubit measurements.


title:
Strong anisotropy in two-dimensional surfaces with generic scale
  invariance: Non-linear effects

abstract:
  We expand a previous study [Phys. Rev. E 86, 051611 (2012)] on the conditions
for occurrence of strong anisotropy (SA) in the scaling properties of
two-dimensional surfaces displaying generic scale invariance. There, a natural
Ansatz was proposed for SA, which arises naturally when analyzing data from
e.g. thin-film production experiments. The Ansatz was tested in Gaussian
(linear) models of surface dynamics and in non-linear models, like the
Hwa-Kardar (HK) equation [Phys. Rev. Lett. 62, 1813 (1989)], which are
susceptible of accurate approximations through the former. In contrast, here we
analyze non-linear equations for which such type of approximations fail.
Working within generically-scale-invariant situations, and as representative
case studies, we formulate and study a generalization of the HK equation for
conserved dynamics, and reconsider well-known systems, such as the conserved
and the non-conserved anisotropic Kardar-Parisi-Zhang equations. Through the
combined use of Dynamic Renormalization Group analysis and direct numerical
simulations, we conclude that the occurrence of SA in two-dimensional surfaces
requires dynamics to be conserved. We find that, moreover, SA is not generic in
parameter space but requires, rather, specific shapes from the terms appearing
in the equation of motion, whose justification needs detailed information on
the dynamical process that is being modeled in each particular case.


title: Pion structure from lattice QCD

abstract:
  We report on the lowest moment of parton distribution functions and
generalized form factors for the pion at several values of the momentum
transfer. Calculations are performed for N_f=2 flavors of O(a) improved Wilson
fermions with pion masses down to 150 MeV.


title: Chern-Simons Superconductor

abstract:
  We study the effect of a bulk Chern-Simons (CS) term on 3+1 dimensional type
II superconductor in the context of the AdS/CFT correspondence. We
holographically compute the super-current and find that it is non-local in
nature. It receives non trivial corrections due to presence of the CS term.
Considering a large limit of a parameter "lambda" (we call this limit as long
wave length limit), which is effectively the high temperature limit of the
theory, we find that this non-local super-current boils down to a local
quantity. The leading term (without the CS term) of this current matches with
the result of Ginzburg-Landau (GL) theory. We compute the effect of the CS term
on GL current and find that the effect is highly suppressed at large
temperature (~1/T^4). Finally, free energy of the vortex configuration has been
calculated. The free energy also receives non trivial correction at the order
of 1/lambda^2 in the long wave length approximation.


title:
Complementarity of WIMP Sensitivity with direct SUSY, Monojet and Dark
  Matter Searches in the MSSM

abstract:
  This letter presents new results on the combined sensitivity of the LHC and
underground dark matter search experiments to the lightest neutralino as WIMP
candidate in the minimal Supersymmetric extension of the Standard Model. We
show that monojet searches significantly extend the sensitivity to the
neutralino mass in scenarios where scalar quarks are nearly degenerate in mass
with it. The inclusion of the latest bound by the LUX experiment on the
neutralino-nucleon spin-independent scattering cross section expands this
sensitivity further, highlighting the remarkable complementarity of
jets/$\ell$s+MET and monojet at LHC and dark matter searches in probing models
of new physics with a dark matter candidate. The qualitative results of our
study remain valid after accounting for theoretical uncertainties.


title: Elements of a theory of algebraic theories

abstract:
  Kleisli bicategories are a natural environment in which the combinatorics
involved in various notions of algebraic theory can be handled in a uniform
way. The setting allows a clear account of comparisons between such notions.
Algebraic theories, symmetric operads and nonsymmetric operads are treated as
examples.


title:
General asymptotic supnorm estimates for solutions of one-dimensional
  advection-diffusion equations in heterogeneous media, I

abstract:
  We derive general bounds for the large time size of supnorm values of
solutions to one-dimensional advection-diffusion equations with initial data in
Lp0 (R) \cap L1 for some 1 <= p0 < \infty, and arbitrary bounded advection
speeds b(x, t), introducing techniques based on suitable energy arguments. Some
open problems and related results are also given.


title: Hydrodynamic long-time tails after a quantum quench

abstract:
  After a quantum quench, a sudden change of parameters, generic many particle
quantum systems are expected to equilibrate. A few collisions of quasiparticles
are usually sufficient to establish approximately local equilibrium. Reaching
global equilibrium is, however, much more difficult as conserved quantities
have to be transported for long distances to build up a pattern of fluctuations
characteristic for equilibrium. Here we investigate the quantum quench of the
one-dimensional bosonic Hubbard model from infinite to finite interaction
strength U using semiclassical methods for weak, and exact diagonalization for
strong quenches. Equilibrium is approached only slowly, as t^{-1/2} with
subleading corrections proportional to t^{-3/4}, consistent with predictions
from hydrodynamics. We show that these long-time tails determine the relaxation
of a wide range of physical observables.


title: Nodal "ground states" and orbital textures in semiconductor quantum dots

abstract:
  Conventional understanding implies that the ground state of a nonmagnetic
quantum mechanical system should be nodeless. While this notion also provides a
valuable guidance in understanding the ordering of energy levels in
semiconductor nanostructures, there are reports that $\textit{nodal}$ ground
states for holes are possible. However, the existence of such nodal states has
been debated and even viewed merely as an artifact of a
$\boldsymbol{k{\cdot}p}$ model. Using complementary approaches of both
$\boldsymbol{k{\cdot}p}$ and tight-binding models, further supported by an
effective Hamiltonian for a continuum model, we reveal that the nodal ground
states in quantum dots are not limited to a specific approach. Remarkably, the
emergence of the nodal hole states at the top of the valence band can be
attributed to the formation of the orbital vortex textures through competition
between the hole kinetic energy and the coupling to the conduction band states.
We suggest an experimental test for our predictions of the reversed energy
ordering and the existence of nodal ground states. We discuss how our findings
and the studies of orbital textures could be also relevant for other materials
systems.


title:
Finite rigid sets and homologically non-trivial spheres in the curve
  complex of a surface

abstract:
  Aramayona and Leininger have provided a "finite rigid subset"
$\mathfrak{X}(\Sigma)$ of the curve complex $\mathscr{C}(\Sigma)$ of a surface
$\Sigma = \Sigma^n_g$, characterized by the fact that any simplicial injection
$\mathfrak{X}(\Sigma) \to \mathscr{C}(\Sigma)$ is induced by a unique element
of the mapping class group $\mathrm{Mod}(\Sigma)$. In this paper we prove that,
in the case of the sphere with $n\geq 5$ marked points, the reduced homology
class of the finite rigid set of Aramayona and Leininger is a
$\mathrm{Mod}(\Sigma)$-module generator for the reduced homology of the curve
complex $\mathscr{C}(\Sigma)$, answering in the affirmative a question posed by
Aramayona and Leininger. For the surface $\Sigma = \Sigma_g^n$ with $g\geq 3$
and $n\in \{0,1\}$ we find that the finite rigid set $\mathfrak{X}(\Sigma)$ of
Aramayona and Leininger contains a proper subcomplex $X(\Sigma)$ whose reduced
homology class is a $\mathrm{Mod}(\Sigma)$-module generator for the reduced
homology of $\mathscr{C}(\Sigma)$ but which is not itself rigid.


title: Jet Emission in Young Radio Sources: a Fermi-LAT Gamma-ray View

abstract:
  We investigate the contribution of the beamed jet component to the high
energy emission in young and compact extragalactic radio sources, focusing for
the first time on the gamma-ray band. We derive predictions on the gamma-ray
luminosities associated with the relativistic jet assuming a leptonic radiative
model. The high energy emission is produced via Compton scattering by the
relativistic electrons in a spherical region at the considered scales
($\lesssim$10 kpc). Simulations show a wide range of gamma-ray luminosities,
with intensities up to $\sim10^{46}-10^{48}$ erg s$^{-1}$ depending on the
assumed jet parameters. We find a highly linear relation between the simulated
X-ray and gamma-ray luminosities that can be used to select candidates for a
gamma-ray detection. We compare the simulated luminosity distributions in the
radio, X-ray and gamma-ray regimes with observations for the largest sample of
X-ray detected young radio quasars. Our analysis of $\sim$4-year Fermi Large
Area Telescope (LAT) data does not give any statistically significant
detection. However, the majority of the model-predicted gamma-ray fluxes for
the sample are near or below the current Fermi-LAT flux threshold and
compatible with the derived upper limits. Our study gives constraints on the
minimum jet power ($L_{jet,kin}/L_{disk}>0.01$), on a potential jet
contribution to the X-ray emission in the most compact sources ($\lesssim1$
kpc) and on the particles to magnetic field energy density ratio in broad
agreement with equipartition assumption.


title: Some remarks on the Gromov width of homogeneous Hodge manifolds

abstract:
  We provide an upper bound for the Gromov width of compact homogeneous Hodge
manifolds $(M, \omega)$ with $b_2(M)=1$. As an application we obtain an upper
bound on the Seshadri constant $\epsilon (L)$ where $L$ is the ample line
bundle on $M$ such that $c_1(L)=[\frac{\omega}{\pi}]$.


title: The von Neumann Model of Measurement in Quantum Mechanics

abstract:
  We describe how to obtain information on a quantum-mechanical system by
coupling it to a probe and detecting some property of the latter, using a model
introduced by von Neumann, which describes the interaction of the system proper
with the probe in a dynamical way.
  We first discuss single measurements, where the system proper is coupled to
one probe with arbitrary coupling strength. The goal is to obtain information
on the system detecting the probe position. We find the reduced density
operator of the system, and show how L\"uders rule emerges as the limiting case
of strong coupling.
  The von Neumann model is then generalized to two probes that interact
successively with the system proper. Now we find information on the system by
detecting the position-position and momentum-position correlations of the two
probes. The so-called "Wigner's formula" emerges in the strong-coupling limit,
while "Kirkwood's quasi-probability distribution" is found as the weak-coupling
limit of the above formalism. We show that successive measurements can be used
to develop a state-reconstruction scheme.
  Finally, we find a generalized transform of the state and the observables
based on the notion of successive measurements.


title: Adaptive nonparametric detection in cryo-electron microscopy

abstract:
  Cryo-electron microscopy (cryo-EM) is an emerging experimental method to
characterize the structure of large biomolecular assemblies. Single particle
cryo-EM records 2D images (so-called micrographs) of projections of the
three-dimensional particle, which need to be processed to obtain the
three-dimensional reconstruction. A crucial step in the reconstruction process
is particle picking which involves detection of particles in noisy 2D
micrographs with low signal-to-noise ratios of typically 1:10 or even lower.
Typically, each picture contains a large number of particles, and particles
have unknown irregular and nonconvex shapes.


title: Chiral symmetries associated with angular momentum

abstract:
  In beginning quantum mechanics courses, symmetries of a physical system are
usually introduced as operators which commute with the Hamiltonian. In this
article we will consider chiral symmetries which anticommute with the
Hamiltonian. Typically, introductory courses at the (under)graduate level do
not discuss these simple, useful and beautiful symmetries at all. The first
time a student typically encounters them is when the Dirac equation is
discussed in a course on relativistic quantum mechanics, or when particle-hole
symmetry is studied in the context of superconductivity. In this article, we
will show how chiral symmetries can be simply elucidated using the theory of
angular momentum, which is taught in virtually all introductory quantum
mechanics courses.


title:
Transport Spectroscopy of a Graphene Quantum Dot Fabricated by Atomic
  Force Microscope Nanolithography

abstract:
  We report low-temperature transport spectroscopy of a graphene quantum dot
fabricated by atomic force microscope nanolithography. The excellent spatial
resolution of the atomic force microscope allows us to reliably fabricate
quantum dots with short constrictions of less than 15 nm in length. Transport
measurements demonstrate that the device is dominated by a single quantum dot
over a wide gate range. The electron spin system of the quantum dot is
investigated by applying an in-plane magnetic field. The results are consistent
with a Lande g-factor of 2 but no regular spin filling sequence is observed,
most likely due to disorder.


title: Splash singularities for the one-phase Muskat problem in stable regimes

abstract:
  This paper shows finite time singularity formation for the Muskat problem in
a stable regime. The framework we found is with a dry region, where the density
and the viscosity are set equal to $0$ (the gradient of the pressure is equal
to $(0,0)$) in the complement of the fluid domain. The singularity is a
splash-type: a smooth fluid boundary collapses due to two different particles
evolve to collide at a single point. This is the first example of a splash
singularity for a parabolic problem.


title: Reaction-diffusion approach in soft diffraction

abstract:
  We apply the reaction-diffusion (stochastic) approach to the numerical
calculation of the elastic amplitude in the Reggeon Field Theory (RFT) and its
single diffractive cut. Fits to the total, integrated and differential elastic
cross sections with account of all Pomeron loops are reported together with
all-loop calculation of the single difraction dissociation cross section.


title: Strong approximation with Brauer-Manin obstruction for toric varieties

abstract:
  For smooth open toric varieties, we establish strong approximation off
infinity with Brauer-Manin obstruction.


title: Statistical estimation for optimization problems on graphs

abstract:
  Large graphs abound in machine learning, data mining, and several related
areas. A useful step towards analyzing such graphs is that of obtaining certain
summary statistics - e.g., or the expected length of a shortest path between
two nodes, or the expected weight of a minimum spanning tree of the graph, etc.
These statistics provide insight into the structure of a graph, and they can
help predict global properties of a graph. Motivated thus, we propose to study
statistical properties of structured subgraphs (of a given graph), in
particular, to estimate the expected objective function value of a
combinatorial optimization problem over these subgraphs. The general task is
very difficult, if not unsolvable; so for concreteness we describe a more
specific statistical estimation problem based on spanning trees. We hope that
our position paper encourages others to also study other types of graphical
structures for which one can prove nontrivial statistical estimates.


title:
Warm gas towards young stellar objects in Corona Australis -
  Herschel/PACS observations from the DIGIT key programme

abstract:
  The effects of external irradiation on the chemistry and physics in the
protostellar envelope around low-mass young stellar objects are poorly
understood. The Corona Australis star-forming region contains the R CrA dark
cloud, comprising several low-mass protostellar cores irradiated by an
intermediate-mass young star. We study the effects on the warm gas and dust in
a group of low-mass young stellar objects from the irradiation by the young
luminous Herbig Be star R CrA. Herschel/PACS far-infrared datacubes of two
low-mass star-forming regions in the R CrA dark cloud are presented. The
distribution of CO, OH, H2O, [C II], [O I], and continuum emission is
investigated. We have developed a deconvolution algorithm which we use to
deconvolve the maps, separating the point-source emission from the extended
emission. We also construct rotational diagrams of the molecular species. By
deconvolution of the Herschel data, we find large-scale (several thousand AU)
dust continuum and spectral line emission not associated with the point
sources. Similar rotational temperatures are found for the warm CO ($282\pm4$
K), hot CO ($890\pm84$ K), OH ($79\pm4$ K), and H2O ($197\pm7$ K) emission,
respectively, in the point sources and the extended emission. The rotational
temperatures are also similar to what is found in other more isolated cores.
The extended dust continuum emission is found in two ridges similar in extent
and temperature to molecular mm emission, indicative of external heating from
the Herbig Be star R CrA. Our results show that a nearby luminous star does not
increase the molecular excitation temperatures in the warm gas around a young
stellar object (YSO). However, the emission from photodissociation products of
H2O, such as OH and O, is enhanced in the warm gas associated with these
protostars and their surroundings compared to similar objects not suffering
from external irradiation.


title: Instability in Shocked Granular Gases

abstract:
  Shocks in granular media, such as vertically oscillated beds, have been shown
to develop instabilities. Similar jet formation has been observed in
explosively dispersed granular media. Our previous work addressed this
instability by performing discrete-particle simulations of inelastic media
undergoing shock compression. By allowing finite dissipation within the shock
wave, instability manifests itself as distinctive high density non-uniformities
and convective rolls within the shock structure. In the present study we have
extended this work to investigate this instability at the continuum level. We
modeled the Euler equations for granular gases with a modified cooling rate to
include an impact velocity threshold necessary for inelastic collisions. Our
results showed a fair agreement between the continuum and discrete-particle
models. Discrepancies, such as higher frequency instabilities in our continuum
results may be attributed to the absence of higher order effects.


title: Next-to-Minimal SOFTSUSY

abstract:
  We describe an extension to the SOFTSUSY program that provides for the
calculation of the sparticle spectrum in the Next-to-Minimal Supersymmetric
Standard Model (NMSSM), where a chiral superfield that is a singlet of the
Standard Model gauge group is added to the Minimal Supersymmetric Standard
Model (MSSM) fields. Often, a $\mathbb{Z}_{3}$ symmetry is imposed upon the
model. SOFTSUSY can calculate the spectrum in this case as well as the case
where general $\mathbb{Z}_{3}$ violating (denoted as
$\,\mathbf{\backslash}\mkern-11.0mu{\mathbb{Z}}_{3}$) terms are added to the
soft supersymmetry breaking terms and the superpotential. The user provides a
theoretical boundary condition for the couplings and mass terms of the singlet.
Radiative electroweak symmetry breaking data along with electroweak and CKM
matrix data are used as weak-scale boundary conditions. The renormalisation
group equations are solved numerically between the weak scale and a high energy
scale using a nested iterative algorithm. This paper serves as a manual to the
NMSSM mode of the program, detailing the approximations and conventions used.


title: Generation linewidth of mode-hopping spin torque oscillators

abstract:
  Experiments on spin torque oscillators commonly observe multi-mode signals.
Recent theoretical works have ascribed the multi-mode signal generation to
coupling between energy-separated spin wave modes. Here, we analyze in detail
the dynamics generated by such mode coupling. We show analytically that the
mode-hopping dynamics broaden the generation linewidth and makes it generally
well described by a Voigt lineshape. Furthermore, we show that the mode-hopping
contribution to the linewidth can dominate in which case it provides a direct
measure of the mode-hopping rate. Due to the thermal drive of mode-hopping
events, the mode-hopping rate also provides information on the energy barrier
separating modes and temperature-dependent linewidth broadening. Our results
are in good agreement with experiments, revealing the physical mechanism behind
the linewidth broadening in multi-mode spin torque oscillators.


title: Locally covariant charged fields and background independence

abstract:
  We discuss gauge background independence at the example of the charged Dirac
field. We show that a perturbative version of background independence, termed
perturbative agreement by Hollands and Wald, can be fulfilled, and discuss some
of its consequences.


title: The Power of Asymmetry in Binary Hashing

abstract:
  When approximating binary similarity using the hamming distance between short
binary hashes, we show that even if the similarity is symmetric, we can have
shorter and more accurate hashes by using two distinct code maps. I.e. by
approximating the similarity between $x$ and $x'$ as the hamming distance
between $f(x)$ and $g(x')$, for two distinct binary codes $f,g$, rather than as
the hamming distance between $f(x)$ and $f(x')$.


title:
Validity of approximations applied in calculations of single-wall
  metallic carbon nanotube current-voltage characteristics

abstract:
  The calculation results of dependencies of electric current in the infinitely
long single-wall metallic carbon nanotubes of armchair type with different
diameter values on the strength of constant and uniform longitudinal electric
field applied to them are presented in this study. On the one hand the results
have been obtained by an accurate numerical self-consistent tight-binding
full-band solution of the Boltzmann transport equations for electrons and
phonons in the electric quantum limit. On the other hand the results have been
obtained by solution of these equations after application of a number of
commonly used simplifications and approximations. It is ascertained that the
approximately calculated dependencies considerably diverge from the rigorously
calculated ones. In addition the relaxation time of non-equilibrium phonons in
the single-wall metallic carbon nanotubes has been estimated by means of
comparison of the calculation results with the well-known experimental data.
Its value is equal to 2.2+/-0.1 ps.


title: Three Wide Planetary-Mass Companions to FW Tau, ROXs 12, and ROXs 42B

abstract:
  We report the discovery of three planetary-mass companions (M = 6--20
$M_{Jup}$) in wide orbits ($\rho \sim$ 150--300 AU) around the young stars FW
Tau (Taurus-Auriga), ROXs 12 (Ophiuchus), and ROXs 42B (Ophiuchus). All three
wide planetary-mass companions ("PMCs") were reported as candidate companions
in previous binary survey programs, but then were neglected for $>$10 years. We
therefore obtained followup observations which demonstrate that each candidate
is comoving with its host star. Based on the absolute $M_{K'}$ magnitudes, we
infer masses (from hot-start evolutionary models) and projected separations of
10 $\pm$ 4 $M_{Jup}$ and 330 $\pm$ 30 AU for FW Tau b, 16 $\pm$ 4 $M_{Jup}$ and
210 $\pm$ 20 AU for ROXs 12 b, and 10 $\pm$ 4 $M_{Jup}$ and 140 $\pm$ 10 AU for
ROXs 42B b. We also present similar observations for ten other candidates which
show that they are unassociated field stars, as well as multicolor JHK'L'
near-infrared photometry for our new PMCs and for five previously-identified
substellar or planetary-mass companions. The NIR photometry for our sample of
eight known and new companions generally parallels the properties of
free-floating low-mass brown dwarfs in these star-forming regions. However, 5
of the 7 objects with M $<$ 30 $M_{Jup}$ are redder in K'-L' than the
distribution of young free-floating counterparts of similar J-K'. We speculate
that this distinction could indicate a structural difference in
circum-planetary disks, perhaps tied to higher disk mass since at least two of
the objects in our sample are known to be accreting more vigorously than
typical free-floating counterparts.


title:
Turbulent, Extreme Multi-Zone Model for Simulating Flux and Polarization
  Variability in Blazars

abstract:
  The author presents a model for variability of the flux and polarization of
blazars in which turbulent plasma flowing at a relativistic speed down a jet
crosses a standing conical shock. The shock compresses the plasma and
accelerates electrons to energies up to gamma(max) > 1E4 times their rest-mass
energy, with the value of gamma(max) determined by the direction of the
magnetic field relative to the shock front. The turbulence is approximated in a
computer code as many cells, each with a uniform magnetic field whose direction
is selected randomly. The density of high-energy electrons in the plasma
changes randomly with time in a manner consistent with the power spectral
density of flux variations derived from observations of blazars. The variations
in flux and polarization are therefore caused by continuous noise processes
rather than by singular events such as explosive injection of energy at the
base of the jet. Sample simulations illustrate the behavior of flux and linear
polarization versus time that such a model produces. The variations in
gamma-ray flux generated by the code are often, but not always, correlated with
those at lower frequencies, and many of the flares are sharply peaked. The mean
degree of polarization of synchrotron radiation is higher and its time-scale of
variability shorter toward higher frequencies, while the polarization electric
vector sometimes randomly executes apparent rotations. The slope of the
spectral energy distribution exhibits sharper breaks than can arise solely from
energy losses. All of these results correspond to properties observed in
blazars.


title: Centralizers and pseudo-degree functions

abstract:
  We study centralizers in certain algebras with valuation in order to
generalize results by Hellstr\"{o}m and Silvestrov on centralizers in graded
algebras. We prove that the centralizer of an element in the studied algebras
is a free module over a certain ring. Under further assumptions we obtain that
the centralizer is also commutative.


title:
Inclusive search for a vector-like T quark with charge 2/3 in pp
  collisions at sqrt(s) = 8 TeV

abstract:
  A search is performed for a massive new vector-like quark T, with charge 2/3,
that is pair produced together with its antiparticle in proton-proton
collisions. The data were collected by the CMS experiment at the Large Hadron
Collider in 2012 at sqrt(s) = 8 TeV and correspond to an integrated luminosity
of 19.5 inverse femtobarns. The T quark is assumed to decay into three
different final states, bW, tZ, and tH. The search is carried out using events
with at least one isolated lepton. No deviations from standard model
expectations are observed, and lower limits are set on the T quark mass at 95%
confidence level. The lower limit lies between 687 and 782 GeV for all possible
values of the branching fractions into the three different final states
assuming strong production. These limits are the most stringent constraints to
date on the existence of such a quark.


title: The Krzy\.{z} conjecture revisited

abstract:
  The Krzy\.z conjecture concerns the largest values of the Taylor coefficients
of a non-vanishing analytic function bounded by one in modulus in the unit
disk. It has been open since 1968 even though information on the structure of
extremal functions is available. The purpose of this paper is to collect
various conditions that the coefficients of an extremal function (and various
other quantities associated with it) should satisfy if the conjecture is true
and to show that each one of these properties is equivalent to the conjecture
itself. This may provide several possible starting points for future attempts
at solving the problem.


title:
Structural, electronic, vibrational and dielectric properties of
  LaBGeO$_5$ from first principles

abstract:
  Structural, electronic, vibrational and dielectric properties of LaBGeO$_5$
with the stillwellite structure are determined based on \textit{ab initio}
density functional theory. The theoretically relaxed structure is found to
agree well with the existing experimental data with a deviation of less than
$0.2\%$. Both the density of states and the electronic band structure are
calculated, showing five distinct groups of valence bands. Furthermore, the
Born effective charge, the dielectric permittivity tensors, and the vibrational
frequencies at the center of the Brillouin zone are all obtained. Compared to
existing model calculations, the vibrational frequencies are found in much
better agreement with the published experimental infrared and Raman data, with
absolute and relative rms values of 6.04 cm$^{-1}$, and $1.81\%$, respectively.
Consequently, numerical values for both the parallel and perpendicular
components of the permittivity tensor are established as 3.55 and 3.71 (10.34
and 12.28), respectively, for the high-(low-)frequency limit.


title:
Probing the z>6 Universe with the first Hubble Frontier Fields cluster
  Abell 2744

abstract:
  The Hubble Frontier Fields (HFF) program combines the capabilities of the
Hubble Space Telescope (HST) with the gravitational lensing of massive galaxy
clusters to probe the distant Universe to an unprecedented depth. Here, we
present the results of the first combined HST and Spitzer observations of the
cluster Abell 2744. We combine the full near-infrared data with ancillary
optical images to search for gravitationally lensed high-redshift (z > 6)
galaxies. We report the detection of 15 I814-dropout candidates at z ~ 6-7 and
one Y105-dropout at z ~ 8 in a total survey area of 1.43 arcmin^2 in the source
plane. The predictions of our lens model allow us to also identify five
multiply-imaged systems lying at redshifts between z ~ 6 and z ~ 8. Thanks to
constraints from the mass distribution in the cluster, we were able to estimate
the effective survey volume corrected for completeness and magnification
effects. This was in turn used to estimate the rest-frame ultraviolet
luminosity function (LF) at z ~ 6-8. Our LF results are generally in agreement
with the most recent blank field estimates, confirming the feasibility of
surveys through lensing clusters. Although based on a shallower observations
than what will be achieved in the final dataset including the full ACS
observations, the LF presented here extends down to Muv ~ -18.5 at z ~ 7 with
one identified object at Muv ~ -15 thanks to the highly-magnified survey areas.
This early study forecasts the power of using massive galaxy clusters as cosmic
telescopes and its complementarity to blank fields.


title:
Strongly mixing convolution operators on Fr\'echet spaces of holomorphic
  functions

abstract:
  A theorem of Godefroy and Shapiro states that non-trivial convolution
operators on the space of entire functions on $\mathbb{C}^n$ are hypercyclic.
Moreover, it was shown by Bonilla and Grosse-Erdmann that they have frequently
hypercyclic functions of exponential growth. On the other hand, in the infinite
dimensional setting, the Godefroy-Shapiro theorem has been extended to several
spaces of entire functions defined on Banach spaces. We prove that on all these
spaces, non-trivial convolution operators are strongly mixing with respect to a
gaussian probability measure of full support. For the proof we combine the
results previously mentioned and we use techniques recently developed by Bayart
and Matheron. We also obtain the existence of frequently hypercyclic entire
functions of exponential growth.


title: Zero Forcing Sets for Graphs

abstract:
  For any simple graph $G$ on $n$ vertices, the (positive semi-definite)
minimum rank of $G$ is defined to be the smallest possible rank among all
(positive semi-definite) real symmetric $n\times n$ matrices whose entry in
position $(i,j)$, for $i\neq j$, is non-zero if $ij$ is an edge in $G$ and zero
otherwise. Also, the (positive semi-definite) maximum nullity of $G$ is defined
to be the largest possible nullity of a (positive semi-definite) matrix in the
above set of matrices. In this thesis we study two graph parameters, namely the
zero forcing number of $G$, $Z(G)$, and the positive zero forcing number of
$G$, $Z_+(G)$, which bound the maximum nullity and the positive semi-definite
maximum nullity from above, respectively. With regard to the zero forcing
number, we introduce some new families of graphs for which the zero forcing
number and the maximum nullity are the same. Also we establish an equality
between the zero forcing number and the path cover number for a new family of
graphs. In addition, we establish a connection between the zero forcing number
and the chromatic number of graphs. With regard to the positive zero forcing
number, we introduce the concept of forcing trees in a graph and we establish a
connection between the positive zero forcing number and the tree cover number.
Also we study families of graphs for which these parameters coincide.
  In addition, we provide some new results on the connections of this parameter
with other graph parameters, including the independence number and the
chromatic number of $G$.


title: $\overline{M}_{0,n}$ is not a Mori Dream Space

abstract:
  Building on the work of Goto, Nishida and Watanabe on symbolic Rees algebras
of monomial primes, we prove that the moduli space of stable rational curves
with n punctures is not a Mori Dream Space for n>133. This answers the question
of Hu and Keel.


title:
Commentary to "LARES successfully launched in orbit: Satellite and
  mission description" by A. Paolozzi and I. Ciufolini

abstract:
  We comment on some statements in a recent paper by Paolozzi and Ciufolini
concerning certain remarks raised by us on the realistic accuracy obtainable in
testing the general relativistic Lense-Thirring effect in the gravitational
field of the Earth with the newly launched LARES satellite together with the
LAGEOS and LAGEOS II spacecraft in orbit for a long time. The orbital
configuration of LARES is different from that of the originally proposed
LAGEOS-3. Indeed, while the latter one should have been launched to the same
altitude of LAGEOS (i.e. about $h_{\rm L}=5890$ km) in an orbital plane
displaced by $180$ deg with respect to that of LAGEOS ($I_{\rm L}=110$ deg,
$I_{\rm L3}=70$ deg), LARES currently moves at a much smaller altitude (about
$h_{\rm LR}=1440$ km) and at a slightly different inclination ($I_{\rm LR} =
69.5$ deg). As independently pointed out in the literature by different
authors, the overall accuracy of a LARES-LAGEOS-LAGEOS II Lense-Thirring test
may be unfavorably \textcolor{black}{impacted} by the lower altitude of LARES
with respect to the expected $\approx 1%$ level claimed by Ciufolini \textit{et
al.} because of an enhanced sensitivity to the low-degree even zonal
geopotential coefficients inducing orbital precessions competing with the
relativistic ones. Concerning the previous tests performed with the combined
nodes of only LAGEOS and LAGEOS II, an independent analysis recently appeared
in the literature indirectly confirms that the total uncertainty in them is
likely far from being as little as $10%$.

categories: gr-qc astro-ph.EP physics.geo-ph physics.space-ph


title: Observation of Topological Structures in Photonic Quantum Walks

abstract:
  Phases of matter with non-trivial topological order are predicted to exhibit
a variety of exotic phenomena, such as the existence robust localized bound
states in 1D systems, and edge states in 2D systems, which are expected to
display spin-helicity, immunity to back-scattering, and weak anti-localization.
In this Letter, we present an experimental observation of topological
structures generated via the controlled implementation of two consecutive
non-commuting rotations in photonic discrete-time quantum walks. The second
rotation introduces valley-like Dirac points in the system, allowing to create
the non-trivial topological pattern. By choosing specific values for the
rotations, it is possible to coherently drive the system between topological
sectors characterized by different topological invariants. We probe the full
topological landscape, demonstrating the emergence of localized bound states
hosted at the topological boundaries, and the existence of extremely localized
or delocalized non-Gaussian quantum states. Our results pave the way for the
study of valley-based electronics and applications of topological mechanisms in
robust optical-device engineering.


title: Constructing Gazetteers from Volunteered Big Geo-Data Based on Hadoop

abstract:
  Traditional gazetteers are built and maintained by authoritative mapping
agencies. In the age of Big Data, it is possible to construct gazetteers in a
data-driven approach by mining rich volunteered geographic information (VGI)
from the Web. In this research, we build a scalable distributed platform and a
high-performance geoprocessing workflow based on the Hadoop ecosystem to
harvest crowd-sourced gazetteer entries. Using experiments based on geotagged
datasets in Flickr, we find that the MapReduce-based workflow running on the
spatially enabled Hadoop cluster can reduce the processing time compared with
traditional desktop-based operations by an order of magnitude. We demonstrate
how to use such a novel spatial-computing infrastructure to facilitate
gazetteer research. In addition, we introduce a provenance-based trust model
for quality assurance. This work offers new insights on enriching future
gazetteers with the use of Hadoop clusters, and makes contributions in
connecting GIS to the cloud computing environment for the next frontier of Big
Geo-Data analytics.


title: New solutions to the confluent Heun equation and quasiexact solvability

abstract:
  We construct new solutions in series of confluent hypergeometric functions
for the confluent Heun equation (CHE). Some of these solutions are applied to
the one-dimensional stationary Schr\"{o}dinger equation with hyperbolic and
trigonometric quasiexactly solvable potentials.


title: Overdetermined Transforms in Integral Geometry

abstract:
  A simple example of an $n$-dimensional admissible complex of planes is given
for the overdetermined $k$-plane transform in $\mathbb{R}^n$. For the
corresponding restricted $k$-plane transform sharp existence conditions are
obtained and explicit inversion formulas are discussed in the general context
of $L^p$ functions. Similar questions are studied for overdetermined Radon type
transforms on the sphere and the hyperbolic space. A theorem describing the
range of the restricted $k$-plane transform on the space of rapidly decreasing
smooth functions is proved.


title:
Combination of Diverse Ranking Models for Personalized Expedia Hotel
  Searches

abstract:
  The ICDM Challenge 2013 is to apply machine learning to the problem of hotel
ranking, aiming to maximize purchases according to given hotel characteristics,
location attractiveness of hotels, user's aggregated purchase history and
competitive online travel agency information for each potential hotel choice.
This paper describes the solution of team "binghsu & MLRush & BrickMover". We
conduct simple feature engineering work and train different models by each
individual team member. Afterwards, we use listwise ensemble method to combine
each model's output. Besides describing effective model and features, we will
discuss about the lessons we learned while using deep learning in this
competition.


title: Warm Anisotropic Inflationary Universe Model

abstract:
  This paper is devoted to study the warm inflation using vector fields in the
background of locally rotationally symmetric Bianchi type I universe model. We
formulate the field equations, slow-roll and perturbation parameters (scalar
and tensor power spectra as well as their spectral indices) under slow-roll
approximation. We evaluate all these parameters in terms of directional Hubble
parameter during intermediate and logamediate inflationary regimes by taking
the dissipation factor as a function of scalar field as well as a constant. In
each case, we calculate the observational parameter of interest, i.e.,
tensor-scalar ratio in terms of inflation. The graphical behavior of these
parameters shows that the anisotropic model is also compatible with WMAP7 and
Planck observational data.


title: Bar and cobar constructions for curved algebras and coalgebras

abstract:
  We provide bar and cobar constructions as functors between some categories of
curved algebras and curved augmented coalgebras over a graded commutative ring.
These functors are adjoint to each other.


title:
Entropy Current for the Fluid/Gravity Model of the Chiral Magnetic
  Effect

abstract:
  We construct long wavelength asymptotically locally AdS_5 spacetimes with
slowly varying (background) gauge fields which are solutions to the U(1)^n
Einstein-Maxwell-Chern-Simons system. These bulk spacetimes are dual to
(3+1)-dimensional fluid flows with n anomalous currents in the presence of
external electromagnetic fields. We utilise the area form on the outer horizon
to holographically compute an entropy current for the dual fluid to first order
in boundary derivatives. Our resulting expression contains additional terms
proportional to the vorticity and magnetic field and thus provides holographic
confirmation of the entropy current calculated by Son and Surowka for
hydrodynamics with triangle anomalies. We then restrict our bulk metric to
describe the fluid/gravity model of the chiral magnetic effect (CME) and again
holographically obtain the entropy current. As expected, our calculation
replicates the result produced using standard hydrodynamic/thermodynamic
arguments.