title: Charge transport in InAs nanowire Josephson junctions

abstract:
  We present an extensive experimental and theoretical study of the proximity
effect in InAs nanowires connected to superconducting electrodes. We fabricate
and investigate devices with suspended gate-controlled nanowires and
nonsuspended nanowires, with a broad range of lengths and normal-state
resistances. We analyze the main features of the current-voltage
characteristics: the Josephson current, excess current, and subgap current as
functions of length, temperature, magnetic field, and gate voltage, and compare
them with theory. The Josephson critical current for a short-length device, L =
30 nm, exhibits a record high magnitude of 800 nA at low temperature that comes
close to the theoretically expected value. The critical current in all other
devices is typically reduced compared to the theoretical values. The excess
current is consistent with the normal resistance data and agrees well with the
theory. The subgap current shows a large number of structures; some of them are
identified as subharmonic gap structures generated by multiple Andreev
reflection. The other structures, detected in both suspended and nonsuspended
devices, have the form of voltage steps at voltages that are independent of
either the superconducting gap or length of the wire. By varying the gate
voltage in suspended devices, we are able to observe a crossover from typical
tunneling transport at large negative gate voltage, with suppressed subgap
current and negative excess current, to pronounced proximity junction behavior
at large positive gate voltage, with enhanced Josephson current and subgap
conductance as well as a large positive excess current.


title:
Modeling statistical properties of the X-ray emission from aged Pulsar
  Wind Nebulae

abstract:
  The number of known PWNe has recently increased considerably, and the
majority of them are now middle-age objects. Recent studies have shown a clear
correlation of both X-ray luminosity and size with the PWN age, but fail in
providing a thorough explanation of the observed trends. Here I propose a
different approach to these effects, based on the hypothesis that the observed
trends do not simply reproduce the evolution of a "typical" PWN, but are a
combined effect of PWNe evolving under different ambient conditions, the
leading parameter being the ambient medium density. Using a simple analytic
approach, I show that most middle-age PWNe are more likely observable during
the reverberation phase, and I succeed in reproducing trends consistent with
those observed, provided that the evolution of the X-ray emitting electrons
keeps adiabatic over the whole reverberation phase. As a direct consequence, I
show that the X-ray spectra of older PWNe should be harder: also this is
consistent with observations.


title: Naked Singularities are not Singular in Distorted Gravity

abstract:
  We compute the Zero Point Energy (ZPE) induced by a naked singularity with
the help of a reformulation of the Wheeler-DeWitt equation. A variational
approach is used for the calculation with Gaussian Trial Wave Functionals. The
one loop contribution of the graviton to the ZPE is extracted keeping under
control the UltraViolet divergences by means of a distorted gravitational
field. Two examples of distortion are taken under consideration: Gravity's
Rainbow and Noncommutative Geometry. Surprisingly we find that the ZPE is no
more singular when we approach the singularity.


title:
Cross-diffusion driven instability in a predator-prey system with
  cross-diffusion

abstract:
  In this work we investigate the process of pattern formation induced by
nonlinear diffusion in a reaction-diffusion system with Lotka-Volterra
predator-prey kinetics. We show that the cross-diffusion term is responsible of
the destabilizing mechanism that leads to the emergence of spatial patterns.
Near marginal stability we perform a weakly nonlinear analysis to predict the
amplitude and the form of the pattern, deriving the Stuart-Landau amplitude
equations. Moreover, in a large portion of the subcritical zone, numerical
simulations show the emergence of oscillating patterns, which cannot be
predicted by the weakly nonlinear analysis. Finally when the pattern invades
the domain as a travelling wavefront, we derive the Ginzburg-Landau amplitude
equation which is able to describe the shape and the speed of the wave.


title:
Influences of a High Frequency Induction Current on the Uniformity of
  the Magnetic Field in an Electromagnetic Casting Mould

abstract:
  An analysis of the influences of a high frequency (30 kHz) alternating
current on the uniformity of the magnetic field (B) in an electromagnetic
casting (EMC) mould is investigated by means of parametric numerical
simulations where the induction current (Js) varies in the range of [1 to 10000
A]. The results show that values of the magnetic flux density along the casting
direction (Bz) near the square mould corners are small, compared to those at
the other locations where Js < 10000 A, and that the magnitude of Bz increases
with an increased induction current (Js). However, it is shown that, for the
EMC mould structure investigated in this paper, the variations of Js have no
significant influences on the uniformity of the magnetic field, especially for
the regions near molten steel level. Moreover, the effective acting region
(Rbz) for the critical magnetic field (Bzc) is first introduced in this paper,
which opens an interesting topic for future research.


title:
An Analytical Evaluation of The Quality Factor Qz for Dominant Spherical
  Modes

abstract:
  This paper describes an analytical evaluation of the quality factor Qz in a
separable system in which the vector potential is known. The proposed method
uses a potential definition of active and reactive power, implicitly avoiding
infinite entire space integration and extraction of radiation energy. As a
result, all the used quantities are finite, and the calculated Qz is always
non-negative function of frequency. The theory is presented on the canonical
example of the currents flowing on a spherical shell. The Qz for the dominant
spherical TM and TE mode and their linear combination are found in closed
forms, including both internal and external energies. The proposed analytical
method and its results are compared to previously published limits of the
quality factor Q.


title: Acceleration of particles in spacetimes of black string

abstract:
  The particle acceleration mechanism in $S^2 \times\mathbb{R}^1$ topology,
namely in the spacetime of the five-dimensional compact black string has been
studied. The expression of center-of-mass energy of the colliding neutral
particles near static black string has been found. The collision of charged
particle moving at the innermost stable circular orbit with neutral particle
coming from infinity have been considered when black string is immersed in
external uniform magnetic field. It has been shown that the unlimited
center-of-mass energy can be approached in case of the extremal rotation of the
black string which is similar to the analogous effect in the Kerr spacetime. We
have also obtained that the scattering energy of particles in the
center-of-mass system can take arbitrary large values not only for extremal
black string but also for nonextremal one. It has been derived that the
presence of the extra dimension can, in principle, increase the upper limit of
efficiency of energy extraction from the extremely rotating black string up to
$203\%$ versus to $143\%$ which can be extracted from the extreme Kerr black
hole.


title:
Multilevel Monte Carlo for Random Degenerate Scalar Convection Diffusion
  Equation

abstract:
  We consider the numerical solution of scalar, nonlinear degenerate
convection-diffusion problems with random diffusion coefficient and with random
flux functions. Building on recent results on the existence, uniqueness and
continuous dependence of weak solutions on data in the deterministic case, we
develop a definition of random entropy solution. We establish existence,
uniqueness, measurability and integrability results for these random entropy
solutions, generalizing \cite{Mishr478,MishSch10a} to possibly degenerate
hyperbolic-parabolic problems with random data. We next address the numerical
approximation of random entropy solutions, specifically the approximation of
the deterministic first and second order statistics. To this end, we consider
explicit and implicit time discretization and Finite Difference methods in
space, and single as well as Multi-Level Monte-Carlo methods to sample the
statistics. We establish convergence rate estimates with respect to the
discretization parameters, as well as with respect to the overall work,
indicating substantial gains in efficiency are afforded under realistic
regularity assumptions by the use of the Multi-Level Monte-Carlo method.
Numerical experiments are presented which confirm the theoretical convergence
estimates.


title: GooFit: A library for massively parallelising maximum-likelihood fits

abstract:
  Fitting complicated models to large datasets is a bottleneck of many
analyses. We present GooFit, a library and tool for constructing
arbitrarily-complex probability density functions (PDFs) to be evaluated on
nVidia GPUs or on multicore CPUs using OpenMP. The massive parallelisation of
dividing up event calculations between hundreds of processors can achieve
speedups of factors 200-300 in real-world problems.


title: Convergence of a finite difference scheme for 2X2 Keyfitz-Kranzer system

abstract:
  We are concerned with the convergence of a numerical scheme for the initial
value problem associated to the $2 \times 2$ Keyfitz-Kranzer system of
equations. In this paper we prove the convergence of a finite difference scheme
to a weak solution.


title:
Gravitational stability of dark energy in galaxies and clusters of
  galaxies

abstract:
  We analyze the behavior of the scalar field as dark energy of the Universe in
a static world of galaxies and clusters of galaxies. We find the analytical
solutions of evolution equations of the density and velocity perturbations of
dark matter and dark energy, which interact only gravitationally, along with
the perturbations of metric in a static world with background Minkowski metric.
Using them it was shown that quintessential and phantom dark energy in the
static world of galaxies and clusters of galaxies is gravitationally stable and
can only oscillate by the influence of self-gravity. In the gravitational field
of dark matter perturbations it is able to condense monotonically, but the
amplitude of density and velocity perturbations on all scales remains small. It
was illustrated also, that the "accretion" of phantom dark energy in the region
of dark matter overdensities causes formation of dark energy underdensities -
the regions with negative amplitude of density perturbations of dark energy.


title:
An Inexact Proximal Path-Following Algorithm for Constrained Convex
  Minimization

abstract:
  Many scientific and engineering applications feature nonsmooth convex
minimization problems over convex sets. In this paper, we address an important
instance of this broad class where we assume that the nonsmooth objective is
equipped with a tractable proximity operator and that the convex constraint set
affords a self-concordant barrier. We provide a new joint treatment of proximal
and self-concordant barrier concepts and illustrate that such problems can be
efficiently solved, without the need of lifting the problem dimensions, as in
disciplined convex optimization approach. We propose an inexact path-following
algorithmic framework and theoretically characterize the worst-case analytical
complexity of this framework when the proximal subproblems are solved
inexactly. To show the merits of our framework, we apply its instances to both
synthetic and real-world applications, where it shows advantages over standard
interior point methods. As a by-product, we describe how our framework can
obtain points on the Pareto frontier of regularized problems with
self-concordant objectives in a tuning free fashion.


title: Failure dynamics of the global risk network

abstract:
  Risks threatening modern societies form an intricately interconnected network
that often underlies crisis situations. Yet, little is known about how risk
materializations in distinct domains influence each other. Here we present an
approach in which expert assessments of risks likelihoods and influence
underlie a quantitative model of the global risk network dynamics. The modeled
risks range from environmental to economic and technological and include
difficult to quantify risks, such as geo-political or social. Using the maximum
likelihood estimation, we find the optimal model parameters and demonstrate
that the model including network effects significantly outperforms the others,
uncovering full value of the expert collected data. We analyze the model
dynamics and study its resilience and stability. Our findings include such risk
properties as contagion potential, persistence, roles in cascades of failures
and the identity of risks most detrimental to system stability. The model
provides quantitative means for measuring the adverse effects of risk
interdependence and the materialization of risks in the network.


title: Imaging the Nanoscale Band Structure of Topological Sb

abstract:
  Many promising building blocks of future electronic technology - including
non-stoichiometric compounds, strongly correlated oxides, and strained or
patterned films - are inhomogeneous on the nanometer length scale. Exploiting
the inhomogeneity of such materials to design next-generation nanodevices
requires a band structure probe with nanoscale spatial resolution. To address
this demand, we report the first simultaneous observation and quantitative
reconciliation of two candidate probes - Landau level spectroscopy and
quasiparticle interference imaging - which we employ here to reconstruct the
multi-component surface state band structure of the topological semimetal
antimony(Sb). We thus establish the technique of band structure tunneling
microscopy (BSTM), whose unique advantages include nanoscale access to
non-rigid band structure deformation, empty state dispersion, and magnetic
field dependent states. We use BSTM to elucidate the relationship between bulk
conductivity and surface state robustness in topological materials, and to
quantify essential metrics for spintronics applications.


title: Dimensionality reduction and spectral properties of multilayer networks

abstract:
  Network representations are useful for describing the structure of a large
variety of complex systems. Although most studies of real-world networks
suppose that nodes are connected by only a single type of edge, most natural
and engineered systems include multiple subsystems and layers of connectivity.
This new paradigm has attracted a great deal of attention and one fundamental
challenge is to characterize multilayer networks both structurally and
dynamically. One way to address this question is to study the spectral
properties of such networks. Here, we apply the framework of graph quotients,
which occurs naturally in this context, and the associated eigenvalue
interlacing results, to the adjacency and Laplacian matrices of undirected
multilayer networks. Specifically, we describe relationships between the
eigenvalue spectra of multilayer networks and their two most natural quotients,
the network of layers and the aggregate network, and show the dynamical
implications of working with either of the two simplified representations. Our
work thus contributes in particular to the study of dynamical processes whose
critical properties are determined by the spectral properties of the underlying
network.


title: The Chromatic Polynomials of Signed Petersen Graphs

abstract:
  Zaslavsky proved in 2012 that, up to switching isomorphism, there are six
different signed Petersen graphs and that they could be told apart by their
chromatic polynomials, by showing that the latter give distinct results when
evaluated at 3. He conjectured that the six different signed Petersen graphs
also have distinct zero-free chromatic polynomials, and that both types of
chromatic polynomials have distinct evaluations at \emph{any} positive integer.
We developed and executed a computer program (running in {\tt SAGE}) that
efficiently determines the number of proper $k$-colorings for a given signed
graph; our computations for the signed Petersen graphs confirm Zaslavsky's
conjecture. We also computed the chromatic polynomials of all signed complete
graphs with up to five vertices.


title: Exploring Deep and Recurrent Architectures for Optimal Control

abstract:
  Sophisticated multilayer neural networks have achieved state of the art
results on multiple supervised tasks. However, successful applications of such
multilayer networks to control have so far been limited largely to the
perception portion of the control pipeline. In this paper, we explore the
application of deep and recurrent neural networks to a continuous,
high-dimensional locomotion task, where the network is used to represent a
control policy that maps the state of the system (represented by joint angles)
directly to the torques at each joint. By using a recent reinforcement learning
algorithm called guided policy search, we can successfully train neural network
controllers with thousands of parameters, allowing us to compare a variety of
architectures. We discuss the differences between the locomotion control task
and previous supervised perception tasks, present experimental results
comparing various architectures, and discuss future directions in the
application of techniques from deep learning to the problem of optimal control.


title: Suffix Trays and Suffix Trists: Structures for Faster Text Indexing

abstract:
  Suffix trees and suffix arrays are two of the most widely used data
structures for text indexing. Each uses linear space and can be constructed in
linear time for polynomially sized alphabets. However, when it comes to
answering queries with worst-case deterministic time bounds, the prior does so
in $O(m\log|\Sigma|)$ time, where $m$ is the query size, $|\Sigma|$ is the
alphabet size, and the latter does so in $O(m+\log n)$ time, where $n$ is the
text size. If one wants to output all appearances of the query, an additive
cost of $O(occ)$ time is sufficient, where $occ$ is the size of the output.
  We propose a novel way of combining the two into, what we call, a {\em suffix
tray}. The space and construction time remain linear and the query time
improves to $O(m+\log|\Sigma|)$ for integer alphabets from a linear range, i.e.
$\Sigma \subset \{1,\cdots, cn\}$, for an arbitrary constant $c$. The
construction and query are deterministic. Here also an additive $O(occ)$ time
is sufficient if one desires to output all appearances of the query.
  We also consider the online version of indexing, where the text arrives
online, one character at a time, and indexing queries are answered in tandem.
In this variant we create a cross between a suffix tree and a suffix list (a
dynamic variant of suffix array) to be called a {\em suffix trist}; it supports
queries in $O(m+\log|\Sigma|)$ time. The suffix trist also uses linear space.
Furthermore, if there exists an online construction for a linear-space suffix
tree such that the cost of adding a character is worst-case deterministic
$f(n,|\Sigma|)$ ($n$ is the size of the current text), then one can further
update the suffix trist in $O(f(n,|\Sigma|)+\log |\Sigma|)$ time. The best
currently known worst-case deterministic bound for $f(n,|\Sigma|)$ is $O(\log
n)$ time.


title:
Measurement and Compensation of Horizontal Crabbing at the Cornell
  Electron Storage Ring Test Accelerator

abstract:
  In storage rings, horizontal dispersion in the rf cavities introduces
horizontal-longitudinal (xz) coupling, contributing to beam tilt in the xz
plane. This coupling can be characterized by a "crabbing" dispersion term
{\zeta}a that appears in the normal mode decomposition of the 1-turn transfer
matrix. {\zeta}a is proportional to the rf cavity voltage and the horizontal
dispersion in the cavity. We report experiments at the Cornell Electron Storage
Ring Test Accelerator (CesrTA) where xz coupling was explored using three
lattices with distinct crabbing properties. We characterize the xz coupling for
each case by measuring the horizontal projection of the beam with a beam size
monitor. The three lattice configurations correspond to a) 16 mrad xz tilt at
the beam size monitor source point, b) compensation of the {\zeta}a introduced
by one of two pairs of RF cavities with the second, and c) zero dispersion in
RF cavities, eliminating {\zeta}a entirely. Additionally, intrabeam scattering
(IBS) is evident in our measurements of beam size vs. rf voltage.


title: Automatic ontology generation for data mining using fca and clustering

abstract:
  Motivated by the increased need for formalized representations of the domain
of Data Mining, the success of using Formal Concept Analysis (FCA) and Ontology
in several Computer Science fields, we present in this paper a new approach for
automatic generation of Fuzzy Ontology of Data Mining (FODM), through the
fusion of conceptual clustering, fuzzy logic, and FCA. In our approach, we
propose to generate ontology taking in consideration another degree of
granularity into the process of generation. Indeed, we suggest to define an
ontology between classes resulting from a preliminary classification on the
data. We prove that this approach optimize the definition of the ontology,
offered a better interpretation of the data and optimized both the space memory
and the execution time for exploiting this data.


title: The $(\leq 6)$-half-reconstructibility of digraphs

abstract:
  Let $G=(V,A)$ be a digraph. With every subset $X$ of $V$, we associate the
subdigraph $G[X]=(X,A\cap (X\times X))$ of $G$ induced by $X$. Given a positive
integer $k$, a digraph $G$ is $(\leq k)$-half-reconstructible if it is
determined up to duality by its subdigraphs of cardinality $\leq k$. In 2003,
J. Dammak characterized the $(\leq k)$-half-reconstructible finite digraphs,
for $k\in \{7,8,9,10,11\}$. N. El Amri, extended J. Dammak's characterization
to infinite digraphs. In this paper, we characterize the $(\leq
6)$-half-reconstructible infinite digraphs.


title: Operator splitting for the Benjamin-Ono equation

abstract:
  In this paper we analyze operator splitting for the Benjamin-Ono equation,
u_t = uu_x + Hu_xx, where H denotes the Hilbert transform. If the initial data
are sufficiently regular, we show the convergence of both Godunov and Strang
splitting.


title:
Quasar-Lyman $\alpha$ Forest Cross-Correlation from BOSS DR11 : Baryon
  Acoustic Oscillations

abstract:
  We measure the large-scale cross-correlation of quasars with the Lyman alpha
forest absorption, using over 164,000 quasars from Data Release 11 of the
SDSS-III Baryon Oscillation Spectroscopic Survey. We extend the previous study
of roughly 60,000 quasars from Data Release 9 to larger separations, allowing a
measurement of the Baryonic Acoustic Oscillation (BAO) scale along the line of
sight $c/(H(z=2.36) ~ r_s) = 9.0 \pm 0.3$ and across the line of sight
$D_A(z=2.36) / ~ r_s = 10.8 \pm 0.4$, consistent with CMB and other BAO data.
Using the best fit value of the sound horizon from Planck data ($r_s=147.49
Mpc$), we can translate these results to a measurement of the Hubble parameter
of $H(z=2.36) = 226 \pm 8 km/s / Mpc$ and of the angular diameter distance of
$D_A(z=2.36) = 1590 \pm 60 Mpc$. The measured cross-correlation function and an
update of the code to fit the BAO scale (baofit) are made publicly available.


title: Rare kaon decays (NA48/2 and NA62)

abstract:
  The rare decay $K^\pm\to\pi^\pm\gamma\gamma$ has been recently measured from
data samples collected by the NA48/2 and NA62 experiments at CERN. These
measurements are presented, including model-independent spectrum measurements
and fits to the Chiral Perturbation Theory description.


title: Particle Physics and Cosmology

abstract:
  Today, both particle physics and cosmology are described by few parameter
Standard Models, i.e. it is possible to deduce consequence of particle physics
in cosmology and vice verse. The former is examined in this lecture, in light
of the recent systematic exploration of the electroweak scale by the LHC
experiments. The two main results of the first phase of the LHC, the discovery
of a Higgs-like particle and the absence so far of new particles predicted by
"natural" theories beyond the Standard Model (supersymmetry, extra-dimension
and composite Higgs) are put in a historical context to enlighten their
importance and then presented extensively. To be complete, a short review from
the neutrino physics, which can not be probed at LHC, is also given. The
ability of all these results to resolve the 3 fundamental questions of
cosmology about the nature of dark energy and dark matter as well as the origin
of matter-antimatter asymmetry is discussed in each case.


title: Quark localization in QCD above $T_c$

abstract:
  It was previously found that at high temperature the lowest part of the QCD
Dirac spectrum consists of localized modes obeying Poisson statistics. Higher
up in the spectrum, modes become delocalized and their statistics can be
described by random matrix theory. The transition from localized to delocalized
modes is analogous to the Anderson metal-insulator transition. Here we use
dynamical QCD simulations with staggered quarks to study this localization
phenomenon. We show that the "mobility edge", separating localized and
delocalized modes, scales properly in the continuum limit and rises steeply
with the temperature. Using very high statistics simulations in large volumes
we find that the density of localized modes scales precisely with the spatial
volume and even at $T=2.6T_{c}$ the lowest part of the spectrum extends all the
way down to zero with no evidence of a spectral gap.


title: Constructing non-uniquely ergodic arational trees

abstract:
  In this technical note, we adapt an idea of Gabai to construct non-uniquely
ergodic, non-geometric, arational trees.


title:
The effect of higher-order mesonic interactions on the chiral phase
  transition and the critical temperature

abstract:
  In the present work, higher-order mesonic interactions are included in the
linear sigma model at a finite temperature. The effective potential is
minimized in the calculations of the sigma and pion effective masses. The field
equations have been solved in the mean-field approximation, by using the
extended iteration method at a finite temperature. The order of chiral phase
transition, the effective sigma and pion masses, and the effective mesonic
potential are investigated as functions of the temperature. We find that the
chiral phase transition satisfies the Goldstone theorem below the critical
temperature point, when the minimization condition is satisfied in the chiral
limit. The value of the critical temperature is reduced as compared with that
of the original model in agreement with lattice QCD results. The modified model
is compared to with models in other works.


title:
Single-crystal superconducting nanowires of NbSe$_2$ fabricated by
  reactive plasma etching

abstract:
  We present the preparation and measurements of nanowires of single-crystal
NbSe$_2$. These nanowires were prepared on ultrathin ($\lesssim10\text{ nm}$)
flakes of NbSe$_2$ mechanically exfoliated from a bulk single crystal using a
process combining electron beam lithography and reactive plasma etching. The
electrical contacts to the nanowires were prepared using Ti/Au. Our technique,
which overcomes several limitations of methods developed previously for
fabricating superconducting nanowires, also allows for the preparation of
complex superconducting nanostructures with a desired geometry. Current-voltage
characteristics of individual superconducting single-crystal nanowires with
widths down to 30~nm and cross-sectional areas as low as 270 nm$^2$ were
measured for the first time.


title: The Herschel Virgo Cluster Survey XVI: a cluster inventory

abstract:
  Herschel FIR observations are used to construct Virgo cluster galaxy
luminosity functions and to show that the cluster lacks the very bright and the
numerous faint sources detected in field galaxy surveys. The far-infrared SEDs
are fitted to obtain dust masses and temperatures and the dust mass function.
The cluster is over dense in dust by about a factor of 100 compared to the
field. The same emissivity (beta) temperature relation applies for different
galaxies as that found for different regions of M31. We use optical and HI data
to show that Virgo is over dense in stars and atomic gas by about a factor of
100 and 20 respectively. Metallicity values are used to measure the mass of
metals in the gas phase. The mean metallicity is about 0.7 solar and 50% of the
metals are in the dust. For the cluster as a whole the mass density of stars in
galaxies is 8 times that of the gas and the gas mass density is 130 times that
of the metals. We use our data to consider the chemical evolution of the
individual galaxies, inferring that the measured variations in effective yield
are due to galaxies having different ages, being affected to varying degrees by
gas loss. Four galaxy scaling relations are considered: mass-metallicity,
mass-velocity, mass-star formation rate and mass-radius - we suggest that
initial galaxy mass is the prime driver of a galaxy's ultimate destiny.
Finally, we use X-ray observations and galaxy dynamics to assess the dark and
baryonic matter content compared to the cosmological model.


title:
Two-Loop Corrections to the Muon Magnetic Moment from Fermion/Sfermion
  Loops in the MSSM: Detailed Results

abstract:
  Recently, first results were presented for two-loop corrections to the muon
(g-2) from fermion/sfermion loops in the MSSM. These corrections were shown to
be generally large and even logarithmically enhanced for heavy sfermions. Here,
full details of the calculation and analytical results are presented. Also, a
very compact formula is provided which can be easily implemented and serves as
a good approximation of the full result as a function of the fourteen most
important input parameters. Finally, a thorough discussion of the numerical
behaviour of the fermion/sfermion-loop corrections to (g-2)_\mu\ is given. The
discussion includes the case of very heavy SUSY masses as well as
experimentally allowed scenarios with very light SUSY masses.


title:
Real-Space x-ray tomographic reconstruction of randomly oriented objects
  with sparse data frames

abstract:
  Schemes for X-ray imaging single protein molecules using new x-ray sources,
like x-ray free electron lasers (XFELs), require processing many frames of data
that are obtained by taking temporally short snapshots of identical molecules,
each with a random and unknown orientation. Due to the small size of the
molecules and short exposure times, average signal levels of much less than 1
photon/pixel/frame are expected, much too low to be processed using standard
methods. One approach to process the data is to use statistical methods
developed in the EMC algorithm (Loh & Elser, Phys. Rev. E, 2009) which
processes the data set as a whole. In this paper we apply this method to a
real-space tomographic reconstruction using sparse frames of data (below
$10^{-2}$ photons/pixel/frame) obtained by performing x-ray transmission
measurements of a low-contrast, randomly-oriented object. This extends the work
by Philipp et al. (Optics Express, 2012) to three dimensions and is one step
closer to the single molecule reconstruction problem.


title:
Intraseasonal characterization of tropospheric O3 in the North of the
  Buenos Aires Province: determining four months cycle and teleconnection
  evidence

abstract:
  Tropospheric ozone (O3T) is a secondary pollutant whose formation involved
primarily solar radiation, NOx and volatile organic compounds. The North of the
Buenos Aires Province has great agricultural-industrial activity; therefore,
O3T study is an important issue in the area. In this paper, we present the
first results tend to estimate and characterize O3T in San Nicol\'as de los
Arroyos, North of Buenos Aires. Due to a lack of in situ data, we analyse the
observations of the instrument OMI (Ozone Monitoring Instrument) of land remote
sensing satellite AURA (GSFC/NASA). The data cover the years 2004-2013.
Applying the multitaper technique (MTM), very suitable for short and noisy data
series, spectral analysis is performed on a grid corresponding 1{\deg} in
latitude by 1.5{\deg} in longitude, centred South of the Province of Santa Fe.
The most remarkable result is the emergence of a significant peak (95%) of four
months cycle. To test the validity of this signal in San Nicol\'as, daily solar
radiation data (Q) were analysed in the area. The application of MTM to the
daily values of Q, yields a spectral peak of 120 days. It is concluded that
atmospheric opacity on the site has four months variations that modify the
solar radiation at the troposphere, and consequently, the production rate of
O3T. Evidence that these variations are due to teleconnection process
originated in the Maritime Continent are presented.


title:
Spin-Orbit Torques and Anisotropic Magnetization Damping in Skyrmion
  Crystals

abstract:
  The length scale of the magnetization gradients in chiral magnets is
determined by the relativistic Dzyaloshinskii-Moriya interaction. Thus, even
conventional spin-transfer torques are controlled by the relativistic
spin-orbit coupling in these systems, and additional relativistic corrections
to the current-induced torques and magnetization damping become important for a
complete understanding of the current-driven magnetization dynamics. We
theoretically study the effects of reactive and dissipative homogeneous
spin-orbit torques and anisotropic damping on the current-driven skyrmion
dynamics in cubic chiral magnets. Our results demonstrate that spin-orbit
torques play a significant role in the current-induced skyrmion velocity. The
dissipative spin-orbit torque generates a relativistic Magnus force on the
skyrmions, whereas the reactive spin-orbit torque yields a correction to both
the drift velocity along the current direction and the transverse velocity
associated with the Magnus force. The spin-orbit torque corrections to the
velocity scale linearly with the skyrmion size, which is inversely proportional
to the spin-orbit coupling. Consequently, the reactive spin-orbit torque
correction can be the same order of magnitude as the non-relativistic
contribution. More importantly, the dissipative spin-orbit torque can be the
dominant force that causes a deflected motion of the skyrmions if the torque
exhibits a linear or quadratic relationship with the spin-orbit coupling. In
addition, we demonstrate that the skyrmion velocity is determined by
anisotropic magnetization damping parameters governed by the skyrmion size.


title: Galois Towers over Non-prime Finite Fields

abstract:
  In this paper we construct Galois towers with good asymptotic properties over
any non-prime finite field $\mathbb F_{\ell}$; i.e., we construct sequences of
function fields $\mathcal{N}=(N_1 \subset N_2 \subset \cdots)$ over $\mathbb
F_{\ell}$ of increasing genus, such that all the extensions $N_i/N_1$ are
Galois extensions and the number of rational places of these function fields
grows linearly with the genus. The limits of the towers satisfy the same lower
bounds as the best currently known lower bounds for the Ihara constant for
non-prime finite fields. Towers with these properties are important for
applications in various fields including coding theory and cryptography.


title: Learned-Norm Pooling for Deep Feedforward and Recurrent Neural Networks

abstract:
  In this paper we propose and investigate a novel nonlinear unit, called $L_p$
unit, for deep neural networks. The proposed $L_p$ unit receives signals from
several projections of a subset of units in the layer below and computes a
normalized $L_p$ norm. We notice two interesting interpretations of the $L_p$
unit. First, the proposed unit can be understood as a generalization of a
number of conventional pooling operators such as average, root-mean-square and
max pooling widely used in, for instance, convolutional neural networks (CNN),
HMAX models and neocognitrons. Furthermore, the $L_p$ unit is, to a certain
degree, similar to the recently proposed maxout unit (Goodfellow et al., 2013)
which achieved the state-of-the-art object recognition results on a number of
benchmark datasets. Secondly, we provide a geometrical interpretation of the
activation function based on which we argue that the $L_p$ unit is more
efficient at representing complex, nonlinear separating boundaries. Each $L_p$
unit defines a superelliptic boundary, with its exact shape defined by the
order $p$. We claim that this makes it possible to model arbitrarily shaped,
curved boundaries more efficiently by combining a few $L_p$ units of different
orders. This insight justifies the need for learning different orders for each
unit in the model. We empirically evaluate the proposed $L_p$ units on a number
of datasets and show that multilayer perceptrons (MLP) consisting of the $L_p$
units achieve the state-of-the-art results on a number of benchmark datasets.
Furthermore, we evaluate the proposed $L_p$ unit on the recently proposed deep
recurrent neural networks (RNN).


title: Tkachenko waves

abstract:
  This is a short review of theoretical and experimental studies of Tkachenko
waves starting from their theoretical prediction by Tkachenko about 50 years
ago up to their unambiguous experimental observation in the Bose--Einstein
condensate of cold atoms.


title: Relations on Mbar_{g,n} via orbifold stable maps

abstract:
  Using the equivariant virtual cycle of the moduli space of stable maps to
[C/Z_r], or equivalently, the vanishing of high-degree Chern classes of a
certain vector bundle over the moduli space of stable maps to BZ_r, we derive
relations in the Chow ring of Mbar_{g,n}(BZ_r,0). These push forward to yield
tautological relations on Mbar_{g,n}.


title:
Effective three-body interactions via photon-assisted tunneling in an
  optical lattice

abstract:
  We present a simple, experimentally realizable method to make coherent
three-body interactions dominate the physics of an ultracold lattice gas. Our
scheme employs either lattice modulation or laser-induced tunneling to reduce
or turn off two-body interactions in a rotating frame, promoting three-body
interactions arising from multi-orbital physics to leading-order processes.
This approach provides a route to strongly-correlated phases of lattice gases
that are beyond the reach of previously proposed dissipative three-body
interactions. In particular, we study the mean-field phase diagram for spinless
bosons with three- and two- body interactions, and provide a roadmap to dimer
states of varying character in 1D. This new toolset should be immediately
applicable in state-of-the-art cold atom experiments.


title:
Topological quasiparticles and the holographic bulk-edge relation in
  2+1D string-net models

abstract:
  String-net models allow us to systematically construct and classify 2+1D
topologically ordered states which can have gapped boundaries. We can use a
simple ideal string-net wavefunction, which is described by a set of F-matrices
[or more precisely, a unitary fusion category (UFC)], to study all the
universal properties of such a topological order. In this paper, we describe a
finite computational method -- Q-algebra approach, that allows us to compute
the non-Abelian statistics of the topological excitations [or more precisely,
the unitary modular tensor category (UMTC)], from the string-net wavefunction
(or the UFC). We discuss several examples, including the topological phases
described by twisted gauge theory (i.e., twisted quantum double $D^\alpha(G)$).
Our result can also be viewed from an angle of holographic bulk-boundary
relation. The 1+1D anomalous topological orders, that can appear as edges of
2+1D topological states, are classified by UFCs which describe the fusion of
quasiparticles in 1+1D. The 1+1D anomalous edge topological order uniquely
determines the 2+1D bulk topological order (which are classified by UMTC). Our
method allows us to compute this bulk topological order (i.e., the UMTC) from
the anomalous edge topological order (i.e., the UFC).

categories: cond-mat.str-el math.CT math.QA quant-ph


title:
The Rise of Network Ecology: Maps of the topic diversity and scientific
  collaboration

abstract:
  Network ecologists investigate the structure, function, and evolution of
ecological systems using network models and analyses. For example, network
techniques have been used to study community interactions (i.e., food-webs,
mutualisms), gene flow across landscapes, and the sociality of individuals in
populations. The work presented here uses a bibliographic and network approach
to (1) document the rise of Network Ecology, (2) identify the diversity of
topics addressed in the field, and (3) map the structure of scientific
collaboration among contributing scientists. Our aim is to provide a broad
overview of this emergent field that highlights its diversity and to provide a
foundation for future advances. To do this, we searched the ISI Web of Science
database for ecology publications between 1900 and 2012 using the search terms
for research areas of Environmental Sciences & Ecology and Evolutionary Biology
and the topic tag ecology. From these records we identified the Network Ecology
publications using the topic terms network, graph theory, and web while
controlling for the usage of misleading phrases. The resulting corpus entailed
29,513 publications between 1936 and 2012. We document the rapid rise in
Network Ecology publications per year reaching a magnitude of over 5% of the
ecological publications in 2012. Drawing topical information from the
publication record content (titles, abstracts, keywords) and collaboration
information from author listing, our analysis highlights the diversity and
clustering of topics addressed within Network Ecology and reveals the highly
collaborative approach of scientists publishing in this field. We conclude that
Network Ecology is a large and rapidly growing area of ecology, and we expect
continued growth of this research field.


title: Adequate groups of low degree

abstract:
  The notion of adequate subgroups was introduced by Jack Thorne [42]. It is a
weakening of the notion of big subgroups used in generalizations of the
Taylor-Wiles method for proving the automorphy of certain Galois
representations. Using this idea, Thorne was able to strengthen many automorphy
lifting theorems. It was shown in [22] that if the dimension is small compared
to the characteristic then all absolutely irreducible representations are
adequate. Here we extend the result by showing that, in almost all cases,
absolutely irreducible kG-modules in characteristic p, whose irreducible
G+-summands have dimension less than p (where G+ denotes the subgroup of G
generated by all p-elements of G), are adequate.


title:
BRST cohomologies for symplectic reflection algebras and quantizations
  of hypertoric varieties

abstract:
  We study algebras constructed by quantum Hamiltonian reduction associated
with symplectic quotients of symplectic vector spaces, including deformed
preprojective algebras, symplectic reflection algebras (rational Cherednik
algebras), and quantization of hypertoric varieties introduced by Musson and
Van den Bergh. We determine BRST cohomologies associated with these quantum
Hamiltonian reductions. To compute these BRST cohomologies, we make use of
method of deformation quantization (DQ-algebras) and F-action studied in
[Kashiwara-Rouquier], and in [Gordon-Losev].


title:
Non-critical dimensions for critical problems involving fractional
  Laplacians

abstract:
  We study the Brezis--Nirenberg effect in two families of noncompact boundary
value problems involving Dirichlet-Laplacian of arbitrary real order $m>0$.


title: Two Mayer-Vietoris spectral sequences for $\mathcal{D}$-modules

abstract:
  We provide two Mayer-Vietoris-like spectral sequences related to the
localization over the complement of a closed subvariety of an algebraic variety
by using techniques from $\mathcal{D}$-modules and homological algebra. We also
give, as an application of the previous, a method to calculate the cohomology
of the complement of any arrangement of hyperplanes over an algebraically
closed field of characteristic zero.


title: Anisotropic AC conductivity of strained graphene

abstract:
  The density of states and the AC conductivity of graphene under uniform
strain are calculated using a new Dirac Hamiltonian that takes into account the
main three ingredients that change the electronic properties of strained
graphene: the real displacement of the Fermi energy, the reciprocal lattice
strain and the changes in the overlap of atomic orbitals. Our simple analytical
expressions of the density of states and the AC conductivity generalizes
previous expressions only available for uniaxial strain. The results suggest a
way to measure the Gruneisen parameter that appears in any calculation of
strained graphene, as well as the emergence of a sort of Hall effect due to
shear strain.


title:
Oxygen-vacancy clustering and pseudogap behaviour at LaAlO3/SrTiO3
  interface

abstract:
  The 2DEG at the LaAlO3/SrTiO3 interface promises to add a new dimension to
emerging electronic devices due to its high tunability. Defects in the form of
Oxygen vacancies in titanate surfaces and interfaces, on the other hand, play a
key role in the emergence of novel phases. Based on an effective model, we
study the influence of Oxygen vacancies on superconductivity and ferromagnetism
at LaAlO3/SrTiO3 interface. Using the Bogoliubov-de Gennes formulation in
conjunction with Monte-Carlo simulation, we find a clustering of the Oxygen
vacancies at the interface that favours formation of coexisting ferromagnetic
puddles spatially separated from superconductivity. We also find a carrier
freeze-out at low temperatures, observed experimentally in wide-variety of
samples. Sufficiently large amount of Oxygen vacancy leads to pseudo-gap like
behaviour in the superconducting state.


title: Torsion points and the Lattes family

abstract:
  We give a dynamical proof of a result of Masser and Zannier [MZ2, MZ3] about
torsion points on the Legendre family of elliptic curves. Our methods also
treat points of small height. A key ingredient is the arithmetic
equidistribution theorem on $\mathbb{P}^1$ of Baker-Rumely, Chambert-Loir, and
Favre-Rivera-Letelier. Torsion points on the elliptic curve coincide with
preperiodic points for the degree-4 Lattes family of rational functions. Our
main new results concern properties of the bifurcation measures for this Lattes
family associated to marked points.


title: Une repr\'esentation en graphe pour l'enseignement de XML

abstract:
  Currently, XML is a format widely used. In the context of computer science
teaching, it is necessary to introduce students to this format and, especially,
at its eco-system. We have developed a model to support the teaching of XML. We
propose to represent an XML schema as a graph highlighting the structural
characteristics of the valide documents. We present in this report different
graphic elements of the model and the improvements it brings to data modeling
in XML.---XML est un format actuellement tr\`es utilis\'e. Dans le cadre des
formations en informatique, il est indispensable d'initier les \'etudiants \`a
ce format et, surtout, \`a tout son \'eco-syst\`eme. Nous avons donc mis au
point un mod\`ele permettant d'appuyer l'enseignement de XML. Ce mod\`ele
propose de repr\'esenter un sch\'ema XML sous la forme d'un graphe mettant en
valeur les caract\'eristiques structurelles des documents valides. Nous
pr\'esentons dans ce rapport les diff\'erents \'el\'ements graphique du
mod\`ele et les am\'eliorations qu'il apporte \`a la mod\'elisation de
donn\'ees en XML.


title:
Giant magnon solution and dispersion relation in string theory in AdS_3
  x S^3 x T^4 with mixed flux

abstract:
  We address the question about the exact form of the dispersion relation for
light-cone string excitations in string theory in AdS3 x S3 x T4 with mixed R-R
and NS-NS 3-form fluxes. The analogy with string theory in AdS5 x S5 suggests
that in addition to the data provided by the perturbative near-BMN expansion
and the symmetry algebra considerations there is also another source of
information about the dispersion relation -- the semiclassical giant magnon
solution. In earlier work in arXiv:1303.1037 and arXiv:1304.4099 it was found
that the symmetry algebra constraints consistent with perturbative expansion do
not completely determine the form of the dispersion relation. The aim of the
present paper is to fix it by constructing a generalization of the known dyonic
giant magnon soliton on S3 to the presence of a non-zero NS-NS flux described
by a WZ term in the string action. We find that the angular momentum of this
soliton gets shifted by a term linear in world-sheet momentum. We also discuss
the symmetry algebra of the string light-cone S-matrix and show that the exact
dispersion relation, which should have the correct perturbative BMN and
semiclassical giant magnon limits, should also contain such a linear momentum
term. The simplicity of the resulting bound-state picture provides a strong
argument in favour of this dispersion relation.


title: Rotating black holes in 4d gauged supergravity

abstract:
  We present new results towards the construction of the most general black
hole solutions in four-dimensional Fayet-Iliopoulos gauged supergravities. In
these theories black holes can be asymptotically AdS and have arbitrary mass,
angular momentum, electric and magnetic charges and NUT charge. Furthermore, a
wide range of horizon topologies is allowed (compact and noncompact) and the
complex scalar fields have a nontrivial radial and angular profile. We
construct a large class of solutions in the simplest single scalar model with
prepotential $F = -i X^0 X^1$ and discuss their thermodynamics. Moreover,
various approaches and calculational tools for facing this problem with more
general prepotentials are presented.


title:
Attraction-repulsion transition in the interaction of adatoms and
  vacancies in graphene

abstract:
  The interaction of two resonant impurities in graphene has been predicted to
have a long-range character with weaker repulsion when the two adatoms reside
on the same sublattice and stronger attraction when they are on different
sublattices. We reveal that this attraction results from a single energy level.
This opens up a possibility of controlling the sign of the impurity interaction
via the adjustment of the chemical potential. For many randomly distributed
impurities (adatoms or vacancies) this may offer a way to achieve a controlled
transition from aggregation to dispersion.


title: Sensitivity analysis for multidimensional and functional outputs

abstract:
  Let $X:=(X_1, \ldots, X_p)$ be random objects (the inputs), defined on some
probability space $(\Omega,{\mathcal{F}}, \mathbb P)$ and valued in some
measurable space $E=E_1\times\ldots \times E_p$. Further, let $Y:=Y = f(X_1,
\ldots, X_p)$ be the output. Here, $f$ is a measurable function from $E$ to
some Hilbert space $\mathbb{H}$ ($\mathbb{H}$ could be either of finite or
infinite dimension). In this work, we give a natural generalization of the
Sobol indices (that are classically defined when $Y\in\mathbb R$ ), when the
output belongs to $\mathbb{H}$. These indices have very nice properties. First,
they are invariant. under isometry and scaling. Further they can be, as in
dimension $1$, easily estimated by using the so-called Pick and Freeze method.
We investigate the asymptotic behaviour of such estimation scheme.


title: Topological lattice field theories from intertwiner dynamics

abstract:
  We introduce a class of 2D lattice models that describe the dynamics of
intertwiners, or, in a condensed matter interpretation, the fusion and
splitting of anyons. We identify different families and instances of
triangulation invariant, that is, topological, models inside this class. These
models give examples for symmetry protected topologically ordered 1D quantum
phases with quantum group symmetries. Furthermore the models provide
realizations for anyon condensation into a new effective vacuum. We explain the
relevance of our findings for the problem of identifying the continuum limit of
spin foam and spin net models.


title:
Searches for light- and heavy-flavour three-jet resonances in pp
  collisions at sqrt(s) = 8 TeV

abstract:
  A search for three-jet hadronic resonance production in pp collisions at a
centre-of-mass energy of 8 TeV has been conducted by the CMS Collaboration at
the LHC with a data sample corresponding to an integrated luminosity of 19.4
inverse femtobarns. The search method is model independent, and events are
selected that have high jet multiplicity and large values of jet transverse
momenta. The signal models explored assume R-parity-violating supersymmetric
gluino pair production and have final states with either only light-flavour
jets or both light- and heavy-flavour jets. No significant deviation is found
between the selected events and the expected standard model multijet and t
t-bar quark background. For a gluino decaying into light-flavour jets, a lower
limit of 650 GeV on the gluino mass is set at a 95% confidence level, and for a
gluino decaying into one heavy- and two light-flavour jets, gluino masses
between 200 and 835 GeV are, for the first time, likewise excluded.


title:
Sur les op\'erations de tores alg\'ebriques de complexit\'e un dans les
  vari\'et\'es affines

abstract:
  This thesis is devoted to the study of geometric properties of affine
algebraic varieties endowed with an action of an algebraic torus. It comes from
three preprints which correspond to the indicated points (1), (2), (3). Let $X$
be an affine variety equipped with an action of the algebraic torus
$\mathbb{T}$. The complexity of the $\mathbb{T}$-action on $X$ is the
codimension of the general $\mathbb{T}$-orbits. Under the assumption of
normality and when the ground field is algebraically closed of characteristic
0, the variety $X$ admits a combinatorial description in terms of convex
geometry. This description obtained by Altmann and Hausen in the year 2006
generalizes the classical one for toric varieties. Our purpose is to
investigate new problems on the algebraic and geometric properties of the
variety $X$ when the $\mathbb{T}$-action on $X$ is of complexity 1. (1) In the
first part, a result gives an effective method to determine the integral
closure of any affine variety defined over an algebraically field of
characteristic 0 with a $\mathbb{T}$-action of complexity 1 in terms of the
combinatorial description of Altmann-Hausen. (2) The calculations of the first
part suggest a proof of the validity of the presentation of Altmann-Hausen in
the case of complexity 1 over an arbitrary ground field. This is done in the
second part. (3) In the third part, when the base field is perfect, we classify
all the actions of the additive group on $X$ that are normalized by the
$\mathbb{T}$-action of complexity 1. This classification generalizes classical
works of Flenner and Zaidenberg in the surface case and of Liendo when the base
field is algebraically closed of characteristic 0.


title: All-optical sensing of a single-molecule electron spin

abstract:
  We demonstrate an all-optical method for magnetic sensing of individual
molecules in ambient conditions at room temperature. Our approach is based on
shallow nitrogen-vacancy (NV) centers near the surface of a diamond crystal,
which we use to detect single paramagnetic molecules covalently attached to the
diamond surface. The manipulation and readout of the NV centers is all-optical
and provides a sensitive probe of the magnetic field fluctuations stemming from
the dynamics of the electronic spins of the attached molecules. As a specific
example, we demonstrate detection of a single paramagnetic molecule containing
a gadolinium (Gd$^{3+}$) ion. We confirm single-molecule resolution using
optical fluorescence and atomic force microscopy to co-localize one NV center
and one Gd$^{3+}$-containing molecule. Possible applications include nanoscale
and in vivo magnetic spectroscopy and imaging of individual molecules.

categories: cond-mat.mes-hall physics.atom-ph physics.bio-ph quant-ph


title: Anisotropic wave propagation in nematic liquid crystals

abstract:
  Despite the fact that quantitative experimental data have been available for
more than forty years now, nematoacoustics still poses intriguing theoretical
and experimental problems. In this paper, we prove that the main observed
features of acoustic wave propagation through a nematic liquid crystal cell --
namely, the anisotropy of sound velocity and its frequency dependence -- may be
plausibly explained by a first-gradient continuum theory characterized by a
hyperelastic anisotropic response from an evolving relaxed configuration. We
compare and contrast our proposal with a competing theory where the liquid
crystal is modeled as an isotropically compressible, anisotropic
second-gradient fluid.


title: Strong Stability of Nash Equilibria in Load Balancing Games

abstract:
  We study strong stability of Nash equilibria in load balancing games of m (m
>= 2) identical servers, in which every job chooses one of the m servers and
each job wishes to minimize its cost, given by the workload of the server it
chooses.
  A Nash equilibrium (NE) is a strategy profile that is resilient to unilateral
deviations. Finding an NE in such a game is simple. However, an NE assignment
is not stable against coordinated deviations of several jobs, while a strong
Nash equilibrium (SNE) is. We study how well an NE approximates an SNE.
  Given any job assignment in a load balancing game, the improvement ratio (IR)
of a deviation of a job is defined as the ratio between the pre- and
post-deviation costs. An NE is said to be a r-approximate SNE (r >= 1) if there
is no coalition of jobs such that each job of the coalition will have an IR
more than r from coordinated deviations of the coalition.
  While it is already known that NEs are the same as SNEs in the 2-server load
balancing game, we prove that, in the m-server load balancing game for any
given m >= 3, any NE is a (5/4)-approximate SNE, which together with the lower
bound already established in the literature yields a tight approximation bound.
This closes the final gap in the literature on the study of approximation of
general NEs to SNEs in load balancing games. To establish our upper bound, we
make a novel use of a graph-theoretic tool.


title:
The Dilaton Wess-Zumino Action in 6 Dimensions from Weyl Gauging: Local
  Anomalies and Trace Relations

abstract:
  We extend a previous analysis on the derivation of the dilaton Wess-Zumino
(WZ) action in $d=4$, based on the method of Weyl gauging, to $6$ dimensions.
As in the previous case, we discuss the structure of the same action in
dimensional regularization using 6-dimensional Weyl invariants, extracting the
dilaton interactions in the most general scheme, with the inclusion of the
local anomaly terms. As an application, we present the WZ action for the (2,0)
tensor multiplet, which has been investigated in the past in the context of the
$AdS_7/CFT_6$ holographic anomaly matching. We then extend to $d=6$ the
investigation of fully traced correlation functions of EMT's, formerly
presented in $d=4$, showing that their hierarchy is functionally related only
to the first 6 correlators. We give the explicit expressions of these in the
most general scheme, up to rank-4.


title: A Many-Atom Cavity QED System with Homogeneous Atom-Cavity Coupling

abstract:
  We demonstrate a many-atom-cavity system with a high-finesse dual-wavelength
standing wave cavity in which all participating rubidium atoms are nearly
identically coupled to a 780-nm cavity mode. This homogeneous coupling is
enforced by a one-dimensional optical lattice formed by the field of a 1560-nm
cavity mode.


title:
Measurement of the dispersion of radiation from a steady cosmological
  source

abstract:
  The `missing baryons' of the near universe are believed to be principally in
a partially ionized state. Although passing electromagnetic waves are dispersed
by the plasma, the effect has hitherto not been utilized as a means of
detection because it is generally believed that a successful observation
requires the background source to be highly variable, \ie~the class of sources
that could potentially deliver a verdict is limited. We argue in two stages
that this condition is not necessary. First, by modeling the fluctuations on
macroscopic scales as interference between wave packets we show that, in
accordance with the ideas advanced by Einstein in 1917, both the behavior of
photons as bosons (\ie~the intensity variance has contributions from Poisson
and phase noise) and the van-Cittert-Zernike theorem are a consequence of
wave-particle duality. Nevertheless, we then point out that in general the
variance on some macroscopic timescale $\tau$ consists of (a) a main
contributing term $\propto 1/\tau$, plus (b) a small negative term $\propto
1/\tau^2$ due to the finite size of the wave packets. If the radiation passes
through a dispersive medium, this size will be enlarged well beyond its vacuum
minimum value of $\Delta t \approx 1/\Delta\nu$, leading to a more negative (b)
term (while (a) remains unchanged) and hence a suppression of the variance
w.r.t. the vacuum scenario. The phenomenon, which is typically at the few parts
in 10$^5$ level, enables one to measure cosmological dispersion in principle.
Signal-to-noise estimates, along with systematic issues and how to overcome
them, will be presented.


title: Gapped symmetric edges of symmetry protected topological phases

abstract:
  Symmetry protected topological (SPT) phases are gapped quantum phases which
host symmetry-protected gapless edge excitations. On the other hand, the edge
states can be gapped by spontaneously breaking symmetry. We show that
topological defects on the symmetry-broken edge cannot proliferate due to their
fractional statistics. A gapped symmetric boundary, however, can be achieved
between an SPT phase and certain fractionalized phases by condensing the bound
state of a topological defect and an anyon. We demonstrate this by two examples
in two dimensions: an exactly solvable model for the boundary between
topological Ising paramagnet and double semion model, and a fermionic example
about the quantum spin Hall edge. Such a hybrid structure containing both SPT
phase and fractionalized phase generally support ground state degeneracy on
torus.


title: Gravitational corrections to the scattering of scalar particles

abstract:
  We evaluated the scattering amplitude of neutral scalar particles at one-loop
order in the context of effective field theory of quantum gravity in the
presence of a cosmological constant. Our study suggests that quantum
gravitational corrections induce an asymptotic freedom behavior to the
$\lambda\phi^4$ theory, for a positive cosmological constant. This result hints
that a complete theory of quantum gravity can play an important role to avoid
the issue of triviality in quantum field theory.


title: How to lift positive Ricci curvature

abstract:
  We show how to lift positive Ricci and almost non-negative curvatures from an
orbit space $M/G$ to the corresponding $G$-manifold, $M$. We apply the results
to get new examples of Riemannian manifolds that satisfy both curvature
conditions simultaneously.


title:
Feasibility of top quark measurements at LHCb and constraints on the
  large-$x$ gluon PDF

abstract:
  The forward LHCb acceptance opens interesting possibilities of studying
precision Standard Model hard processes in a kinematical region beyond the
reach of ATLAS and CMS. In this paper we perform a feasibility study for
cross-section measurements of top quark pairs with the LHCb detector, with an
analysis of signal and background rates for selected final states, and
determine the potential precision achievable at $\sqrt{s} =$ 7 and 14~TeV. We
then study the dependence of theoretical uncertainties on the pseudorapidity
distribution of top quarks produced in pair production at NLO, and observe that
a cross-section measurement at high pseudorapidity has enhanced sensitivity to
probe the high-$x$ gluon PDF as compared to measurements in the central-region.
Based on simulated pseudodata, the impact of a 14~TeV cross-section measurement
on the gluon PDF and charge asymmetry is quantified.


title: The many facets of the (non relativistic) Nuclear Equation of State

abstract:
  A nucleus is a quantum many body system made of strongly interacting
Fermions, protons and neutrons (nucleons). This produces a rich Nuclear
Equation of State whose knowledge is crucial to our understanding of the
composition and evolution of celestial objects. The nuclear equation of state
displays many different features; first neutrons and protons might be treated
as identical particles or nucleons, but when the differences between protons
and neutrons are spelled out, we can have completely different scenarios, just
by changing slightly their interactions. At zero temperature and for neutron
rich matter, a quantum liquid gas phase transition at low densities or a
quark-gluon plasma at high densities might occur. Furthermore, the large
binding energy of the $\alpha$ particle, a Boson, might also open the
possibility of studying a system made of a mixture of Bosons and Fermions,
which adds to the open problems of the nuclear equation of state.


title:
Conditions for Bifurcations in a Non-Autonomous Scalar Differential
  Equation

abstract:
  In this paper are provided some sufficient conditions for a non autonomous
scalar differential equation to have saddle node, transcritical and pitchfork
bifurcations using higher order derivatives.


title: On $r$-cross $t$-intersecting families for weak compositions

abstract:
  Let $\mathbb N_0$ be the set of non-negative integers, and let $P(n,l)$
denote the set of all weak compositions of $n$ with $l$ parts, i.e., $P(n,l)=\{
(x_1,x_2,\dots, x_l)\in\mathbb N_0^l\ :\ x_1+x_2+\cdots+x_l=n\}$. For any
element $\mathbf u=(u_1,u_2,\dots, u_l)\in P(n,l)$, denote its $i$th-coordinate
by $\mathbf u(i)$, i.e., $\mathbf u(i)=u_i$. Let $l=\min(l_1,l_2,\dots, l_r)$.
Families $\mathcal A_j\subseteq P(n_j,l_j)$ ($j=1,2,\dots, r$) are said to be
$r$-cross $t$-intersecting if $\vert \{ i\in [l] \ :\ \mathbf u_1(i)=\mathbf
u_2(i)=\cdots=\mathbf u_r(i)\} \vert\geq t$ for all $\mathbf u_j\in \mathcal
A_j$. Suppose that $l\geq t+2$. We prove that there exists a constant
$n_0=n_0(l_1,l_2,\dots,l_r,t)$ depending only on $l_j$'s and $t$, such that for
all $n_j\geq n_0$, if the families $\mathcal A_j\subseteq P(n_j,l_j)$
($j=1,2,\dots, r$) are $r$-cross $t$-intersecting, then \begin{equation}
\prod_{j=1}^r \vert \mathcal{A}_j \vert\leq \prod_{j=1}^r {n_j+l_j-t-1 \choose
l_j-t-1}.\notag \end{equation} Moreover, equality holds if and only if there is
a $t$-set $T$ of $\{1,2,\dots,l\}$ such that $\mathcal{A}_j=\{\mathbf u\in
P(n_j,l_j)\ :\ \mathbf u(i)=0\ {\rm for\ all}\ i\in T\}$ for $j=1,2,\dots, r$.


title:
Solar Mini-Dimming Kinematics and Their Positive Correlations with
  Coronal Mass Ejections and Prominence

abstract:
  Solar mini-dimmings can be detect in the Extreme Ultra-Violet coro- nal
eruptions. Here, sequences of 171 A images taken by Solar Dynamic Observa-
tory/Atmospheric Imaging Assembaly on 13 June 2010 are used. In this special
day, both of coronal mass ejection and prominence were observed. The average
velocities and accelerations of 500 mini-dimmings which were detected using on
feature based classifier (Alipour et al 2012) are studied. The large number of
mini-dimmings shows positive accelerations in the beginning times as similar as
Coronal Mass Ejections. On the the start time of prominence eruptions, the
number of mini-dimmings is increased to a maximum values. There is a positive
correlation between the kinematics of mini- dimmings and both CME and
prominences. This study can be extended to understand the exact relationship of
CMEs and mini-dimmings.


title:
Ending AIDS in South Africa: How long will it take? How much will it
  cost?

abstract:
  South Africa has more people infected with HIV but, by providing access to
anti-retroviral therapy (ART), has kept more people alive than any other
country. The effectiveness, availability and affordability of potent
anti-retroviral therapy (ART) make it possible to contemplate ending the
epidemic of HIV/AIDS. We consider what would have happened without ART, the
impact of the current roll-out of ART, what might be possible if early
treatment becomes available to all, and what could have happened if ART had
been provided much earlier in the epidemic. In 2013 the provision of ART has
reduced the prevalence of HIV from an estimated 15% to 9% among adults not on
ART, the annual incidence from 2% to 0.9%, and the AIDS related deaths from
0.9% to 0.3% p.a. saving 1.5 million lives and USD727M. Regular testing and
universal access to ART could reduce the prevalence among adults not on ART in
2023 to 0.06%, annual incidence to 0.05%, and eliminate AIDS deaths. Cumulative
costs between 2013 ands 2023 would increase by USD692M only 4% of the total
cost of USD17Bn. If a universal testing and early treatment had started in 1998
the prevalence of HIV among adults not on ART in 2013 would have fallen to
0.03%, annual incidence to 0.03%, and saved 2.5 million lives. The cost up to
2013 would have increased by USD18Bn but this would have been cost effective at
US$7,200 per life saved. Future surveys of HIV among women attending ante-natal
clinics should include testing women for the presence of anti-retroviral drugs,
measuring their viral loads, and using appropriate assays for estimating HIV
incidence. These data would make it possible to develop better and more
reliable estimates of the current state of the epidemic, the success of the
current ART programme, levels of viral load suppression for those on ART and
the incidence of infection.


title:
The dependence of the galaxy mass-metallicity relation on environment
  and the implied metallicity of the IGM

abstract:
  We explore the dependence of the galaxy mass-metallicity relation on
environment in SDSS, in terms of both over-density and central/satellite
dichotomy. We find that at a given stellar mass, there is a strong dependence
of metallicity on over-density for star-forming satellites. Instead, for
star-forming centrals no correlation is found. Star-forming satellites at
different stellar masses form a tight sequence in the average overdensity -
metallicity plane, which covers the entire observed range of metallicities and
stellar masses. This remarkable result appears to imply that there exists a
universal evolutionary path for all star-forming satellites, regardless of
their stellar masses. The strong correlation between over-density and
metallicity for star-forming satellites indicates that the gas inflow of
satellite galaxies is progressively metal-enriched in denser regions. We
interpret our results by employing the gas regulator model and find that the
metallicity of the enriched inflow of star-forming satellite galaxies strongly
increases with increasing over-density, largely independently of stellar mass.
If the metallicity of the inflow of star-forming satellites can represent the
metallicity of the IGM, then the implied metallicity of the IGM rises from ~
0.01 solar metallicity in void-like environments to ~ 0.3 solar metallicity in
cluster-like environments, in broad agreement with observations. We show that
the observed metallicity difference between star-forming centrals and
star-forming satellites becoming smaller towards high stellar masses can be
simply explained by the mass-independent enriched inflow, without the need to
involve any mass-dependent environmental effect on metallicity. Since satellite
galaxies account for at least half of the galaxy population, our findings
prompt for a revision of many galaxy evolutionary models, which generally
assume pristine gas inflows.


title:
Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in
  Pyrochlore Magnets

abstract:
  The spin ice materials, including Ho2Ti2O7 and Dy2Ti2O7, are rare earth
pyrochlore magnets which, at low temperatures, enter a constrained paramagnetic
state with an emergent gauge freedom. Remarkably, the spin ices provide one of
very few experimentally realised examples of fractionalization because their
elementary excitations can be regarded as magnetic monopoles and, over some
temperature range, the spin ice materials are best described as liquids of
these emergent charges. In the presence of quantum fluctuations, one can
obtain, in principle, a quantum spin liquid descended from the classical spin
ice state characterised by emergent photon-like excitations. Whereas in
classical spin ices the excitations are akin to electrostatic charges, in the
quantum spin liquid these charges interact through a dynamic and emergent
electromagnetic field. In this review, we describe the latest developments in
the study of such a quantum spin ice, focussing on the spin liquid
phenomenology and the kinds of materials where such a phase might be found.


title:
Galaxy Assembly Bias: A Significant Source of Systematic Error in the
  Galaxy-Halo Relationship

abstract:
  It is common practice for methods that use galaxy clustering to constrain the
galaxy-halo relationship, such as the halo occupation distribution (HOD) and/or
conditional luminosity function (CLF), to assume that halo mass alone suffices
to determine a halo's resident galaxy population. Yet, the clustering strength
of cold dark matter halos depends upon halo properties in addition to mass,
such as formation time, an effect referred to as assembly bias. If galaxy
characteristics are correlated with any of these auxiliary halo properties, the
basic assumption of HOD/CLF methods is violated. We estimate the potential for
assembly bias to induce systematic errors in inferred halo occupation
statistics. We use halo abundance matching and age matching to construct
fiducial mock galaxy catalogs that exhibit assembly bias as well as additional
mock catalogs with identical HODs, but with assembly bias removed. We fit a
parameterized HOD to the projected two-point clustering of mock galaxies in
each catalog to assess the systematic errors induced by reasonable levels of
assembly bias. In the absence of assembly bias, the inferred HODs generally
describe the true underlying HODs well, validating the basic methodology.
However, in all of the cases with assembly bias, the inferred HODs have
systematic errors that are statistically significant. In most cases, these
systematic errors cannot be identified using void statistics as auxiliary
observables. We conclude that the galaxy-halo relationship inferred from galaxy
clustering should be subject to a non-negligible systematic error induced by
assembly bias. Our work suggests that efforts to model and/or constrain
assembly bias should be high priorities as it is a threatening source of
systematic error in galaxy evolution studies as well as the precision cosmology
program.


title: The Dispersal of Protoplanetary Disks

abstract:
  Protoplanetary disks are the sites of planet formation, and the evolution and
eventual dispersal of these disks strongly influences the formation of
planetary systems. Disk evolution during the planet-forming epoch is driven by
accretion and mass-loss due to winds, and in typical environments
photoevaporation by high-energy radiation from the central star is likely to
dominate final gas disk dispersal. We present a critical review of current
theoretical models, and discuss the observations that are used to test these
models and inform our understanding of the underlying physics. We also discuss
the role disk dispersal plays in shaping planetary systems, considering its
influence on both the process(es) of planet formation and the architectures of
planetary systems. We conclude by presenting a schematic picture of
protoplanetary disk evolution and dispersal, and discussing prospects for
future work.


title:
Gravitational and distributed heating effects of a cD galaxy on the
  hydrodynamical structure of its host cluster

abstract:
  We investigate the effects of a cD galaxy's gravity and AGN heating of the
host galaxy cluster. We consider a standard prescription for the hydrodynamics,
with the structures determined by mass continuity, momentum and energy
conservation equations in spherical symmetry. The cluster comprises a dark
matter halo (DM) and ionised X-ray emitting intracluster gas (ICM), which
jointly determine the gravitational potential. The cD galaxy is an additive
gravitational potential component. The DM assumes a polytropic equation of
state (determined by its microphysics), which could be non-radiative
self-interacting particles or more exotically interacting particles. The AGN
provides distributed heating, counteracting radiative cooling. Stationary
density and velocity dispersion profiles are obtained by numerically
integrating the hydrodynamic equations with appropriate boundary conditions.
The minimum gas temperature in the cluster core is higher when a cD galaxy is
present than when it is absent. The solutions also yield a point-like mass
concentration exceeding a minimum mass: presumably the AGN's supermassive black
hole (SMBH). Consistency with observed SMBH masses constrains the possible DM
equations of state. The constraints are looser when a cD galaxy is present.
Distributed (AGN) heating alters cluster global properties, and also reduces
the lower limits for the central point-mass, for the preferred DM models in
which the dark particles have greater heat capacity than point particles.
Eluding these constraints would require dominant non-spherical or anisotropic
effects (e.g. bulk rotation, non-radial streaming, asymmetric lumps, or a
strong magnetic field).


title:
Around 200 new X-ray binary IDs from 13 years of Chandra observations of
  the M31 center

abstract:
  We have created 0.3--10 keV, 13 year, unabsorbed luminosity lightcurves for
528 X-ray sources in the central 20' of M31. We have 174 Chandra observations
spaced at ~1 month intervals thanks to our transient monitoring program, deeper
observations of the M31 nucleus, and some public data from other surveys. We
created 0.5--4.5 keV structure functions (SFs) for each source, for comparison
with the ensemble structure function of AGN. We find 220 X-ray sources with
luminosities > ~1E+35 erg/s that have SFs with significantly more variability
than the ensemble AGN SF, and are likely X-ray binaries (XBs). A further 30
X-ray sources were identified as XBs using other methods. We therefore have 250
probable XBs in total, including ~200 new identifications. This result
represents great progress over the ~50 XBs and ~40 XB candidates previously
identified out of the ~2000 X-ray sources within the D_25 region of M31; it
also demonstrates the power of SF analysis for identifying XBs in external
galaxies. We also identify a new transient black hole candidate, associated
with the M31 globular cluster B128.


title:
Quantifying the sensitivity of oscillation experiments to the neutrino
  mass ordering

abstract:
  Determining the type of the neutrino mass ordering (normal versus inverted)
is one of the most important open questions in neutrino physics. In this paper
we clarify the statistical interpretation of sensitivity calculations for this
measurement. We employ standard frequentist methods of hypothesis testing in
order to precisely define terms like the median sensitivity of an experiment.
We consider a test statistic $T$ which in a certain limit will be normal
distributed. We show that the median sensitivity in this limit is very close to
standard sensitivities based on $\Delta\chi^2$ values from a data set without
statistical fluctuations, such as widely used in the literature. Furthermore,
we perform an explicit Monte Carlo simulation of the INO, JUNO, LBNE, NOvA, and
PINGU experiments in order to verify the validity of the Gaussian limit, and
provide a comparison of the expected sensitivities for those experiments.


title: Disentangling a dynamical Higgs

abstract:
  The pattern of deviations from Standard Model predictions and couplings is
different for theories of new physics based on a non-linear realization of the
$SU(2)_L\times U(1)_Y$ gauge symmetry breaking and those assuming a linear
realization. We clarify this issue in a model-independent way via its effective
Lagrangian formulation in the presence of a light Higgs particle, up to first
order in the expansions: dimension-six operators for the linear expansion and
four derivatives for the non-linear one. Complete sets of pure gauge and
gauge-Higgs operators are considered, implementing the renormalization
procedure and deriving the Feynman rules for the non-linear expansion. We
establish the theoretical relation and the differences in physics impact
between the two expansions. Promising discriminating signals include the
decorrelation in the non-linear case of signals correlated in the linear one:
some pure gauge versus gauge-Higgs couplings and also between couplings with
the same number of Higgs legs. Furthermore, anomalous signals expected at first
order in the non-linear realization may appear only at higher orders of the
linear one, and vice versa. We analyze in detail the impact of both type of
discriminating signals on LHC physics.


title: Higgs Production in General 5D Warped Models

abstract:
  We calculate the production rate of the Higgs boson at the LHC in the context
of general 5 dimensional (5D) warped scenarios with spacetime background
modified from the usual $AdS_5$, and where all the SM fields, including the
Higgs, propagate in the bulk. This modification can alleviate considerably the
bounds coming from precision electroweak tests and flavor physics. We evaluate
the Higgs production rate and show that it is generically consistent with the
current experimental results from the LHC for Kaluza-Klein (KK) masses as low
as 2 TeV, unlike in pure $AdS_5$ scenarios, where for the same masses, the
Higgs production typically receives corrections too large to be consistent with
LHC data. Thus the new pressure on warped models arising from LHC Higgs data is
also alleviated in $AdS_5$-modified warped scenarios.


title: Competing regimes of motion in 1D mobile impurities

abstract:
  We show that a distinguishable mobile impurity inside a one-dimensional
many-body state at zero temperature generally does not behave like a
quasiparticle (QP). Instead, both the impurities dynamics as well as the ground
state of the bath are fundamentally transformed by a diverging number of
zero-energy excitations being generated, leading to what we call
infrared-dominated (ID) dynamics. Combining analytics and DMRG numerics we
provide a general formula for the power law governing ID dynamics at zero
momentum, discuss a threshold beyond which quasiparticle dynamics may occur
again, and study the competition between the ID and quasiparticle universality
classes at larger impurity momenta.


title: Hybrid Bounds on Twisted L-Functions Associated to Modular Forms

abstract:
  For $f$ a primitive holomorphic cusp form of even weight $k \geq 4$, level
$N$, and $\chi$ a Dirichlet character mod $Q$ with $(Q,N)=1$, we establish a
new hybrid subconvexity bound for $L(1/2 + it, f_\chi)$, which improves upon
all known hybrid bounds. This is done via amplification and taking advantage of
a shifted convolution sum of two variables defined and analyzed in a recent
paper of Hoffstein and Hulse.


title: Three easy exercises in off-shell string-inspired methods

abstract:
  Off-shell string-inspired methods (OSSIM) calculate off-shell QCD Green's
functions using Schwinger-Feynman proper-time techniques, always in the
background field method (BFM) Feynman gauge for technical convenience, and so
far only at one loop. We already know that these results are gauge-invariant,
because this gauge realizes the prescriptions of the Pinch Technique (PT), a
Feynman-graph formulation for any gauge, but the idea of the first exercise is
to show this directly in OSSIM. In this exercise we extend proper-time OSSIM
beyond the BFM Feynman gauge so that one can apply PT algorithms, and show that
the intrinsic PT is equivalent to resolving ambiguities in OSSIM in other
gauges. In the second exercise we use forty-year-old rules of the author and
Tiktopoulos for expressing loop integrals with numerator momenta directly in
terms of Feynman parameters after momentum integration (the goal of OSSIM) and
show that these rules elegantly and with economy of effort give rise, at least
at one loop, to standard OSSIM algorithms. In the third exercise we apply
world-line techniques to the problem of the breaking of adjoint strings,
requiring a non-perturbative treatment that in the end reduces to a variant of
the Schwinger result for production of electron-positron pairs in an electric
field. This generalizes OSSIM to non-perturbative processes.


title: Infrared Properties of z=7 Galaxies from Cosmological Simulations

abstract:
  Three-dimensional panchromatic dust radiative transfer calculations are
performed on a set of 198 galaxies of stellar masses in the range
5x10^8-3x10^10 Msun from a cosmological hydrodynamic simulation (resolved at
29pc/h) at z=7. In a companion paper (Kimm & Cen), the stellar mass and UV
luminosity functions, and UV-optical and FUV-NUV colors are shown to be in good
agreement with observations, if an SMC-type dust extinction curve is adopted.
Here we make useful predictions, self-consistently, of the infrared properties
of these z=7 simulated galaxies that can be confronted with upcoming ALMA data.
Our findings are as follows. (1) The effective radius in the rest-frame MIPS 70
micron band is in the range of 80-400pc proper for z=7 galaxies with
L_FIR=10^{11.3-12}Lsun. (2) The median of the peak wavelength of the
far-infrared (FIR) spectral energy distribution is in the range of 45-60
micron, depending on the dust-to-metal ratio. (3) For star formation rate in
the range 3-100 Msun/yr the median FIR to bolometric luminosity ratio is
60-90%. (4) The FIR luminosity function displays a power law in the high end
with a slope of -3.1 +- 0.4, instead of the usual exponential decline.


title:
Higgs characterisation via vector-boson fusion and associated
  production: NLO and parton-shower effects

abstract:
  Vector-boson fusion and associated production at the LHC can provide key
information on the strength and structure of the Higgs couplings to the
Standard Model particles. Using an effective field theory approach, we study
the effects of next-to-leading order (NLO) QCD corrections matched to parton
shower on selected observables for various spin-0 hypotheses. We find that
inclusion of NLO corrections is needed to reduce the theoretical uncertainties
on total rates as well as to reliably predict the shapes of the distributions.
Our results are obtained in a fully automatic way via FeynRules and
MadGraph5_aMC@NLO.


title:
QCD analysis of polarized DIS and the SIDIS asymmetry world data and
  light sea-quark decomposition

abstract:
  The results of our new QCD analysis of helicity parton distributions of the
nucleon at full next-to-leading order (NLO) accuracy in the fixed-flavor number
scheme will be presented. Performing a combined QCD fit on the global sets of
latest inclusive and the semi-inclusive polarized deep inelastic scattering
data, we are able to extract new polarized parton distribution functions
(PPDFs) at the input scale $Q_{0}^2=1$ GeV$^2$. Particulary, we have calculated
PPDFs considering light sea-quark decomposition and the results are compared
with the experimental data and the most precise theoretical models obtained by
recent analyses. The latest COMPASS2010 SIDIS data, which were not available
for the previous analyses, are employed in the current analysis and the effect
of COMPASS SIDIS data is studied in detail. Also the uncertainties of PPDFs are
determined using the standard Hessian technique.


title:
Linear theory for filtering nonlinear multiscale systems with model
  error

abstract:
  We study filtering of multiscale dynamical systems with model error arising
from unresolved smaller scale processes. The analysis assumes continuous-time
noisy observations of all components of the slow variables alone. For a linear
model with Gaussian noise, we prove existence of a unique choice of parameters
in a linear reduced model for the slow variables. The linear theory extends to
to a non-Gaussian, nonlinear test problem, where we assume we know the optimal
stochastic parameterization and the correct observation model. We show that
when the parameterization is inappropriate, parameters chosen for good filter
performance may give poor equilibrium statistical estimates and vice versa.
Given the correct parameterization, it is imperative to estimate the parameters
simultaneously and to account for the nonlinear feedback of the stochastic
parameters into the reduced filter estimates. In numerical experiments on the
two-layer Lorenz-96 model, we find that parameters estimated online, as part of
a filtering procedure, produce accurate filtering and equilibrium statistical
prediction. In contrast, a linear regression based offline method, which fits
the parameters to a given training data set independently from the filter,
yields filter estimates which are worse than the observations or even divergent
when the slow variables are not fully observed.


title:
High-Energy X-rays from J174545.5-285829, the Cannonball: A Candidate
  Pulsar Wind Nebula Associated with Sgr A East

abstract:
  We report the unambiguous detection of non-thermal X-ray emission up to 30
keV from the Cannonball, a few-arcsecond long diffuse X-ray feature near the
Galactic Center, using the NuSTAR X-ray observatory. The Cannonball is a
high-velocity (vproj~500 km/s) pulsar candidate with a cometary pulsar wind
nebula (PWN) located ~2' north-east from Sgr A*, just outside the radio shell
of the supernova remnant Sagittarius A (Sgr A) East. Its non-thermal X-ray
spectrum, measured up to 30 keV, is well characterized by a Gamma~1.6
power-law, typical of a PWN, and has an X-ray luminosity of L(3-30 keV)=1.3e34
erg/s. The spectral and spatial results derived from X-ray and radio data
strongly suggest a runaway neutron star born in the Sgr A East supernova event.
We do not find any pulsed signal from the Cannonball. The NuSTAR observations
allow us to deduce the PWN magnetic field and show that it is consistent with
the lower limit obtained from radio observations.


title:
Proper holomorphic mappings into $\ell$-concave quadric domains in
  projective space

abstract:
  In this paper, we prove a type of partial rigidity result for proper
holomorphic mappings of certain $\ell$-concave domains in projective space into
model quadratic $\ell$-concave domains. The main technical result is a degree
estimate for proper holomorphic mappings into the model domains, provided that
the mappings extend to projective space as rational mappings, and the source
domain contains algebraic varieties and has a boundary with low CR complexity.


title:
Pseudodifferentialoperatoren mit nichtglatten Koeffizienten auf
  Mannigfaltigkeiten

abstract:
  A generalization of differential operators are pseudodifferential operators
which are used for reasoning about partial differential equations with variable
coefficients. A lot of useful properties about classical pseudodifferential
operators are already discovered by the works of H. Kumano-Go and L.
H\"ormander. In this work, we like to transfer their ideas on those operators
which symbols are merely H\"older-continous. We focus on the composition of
operators, symbol smoothing and operators on manifolds.


title: Linear Regression without computing pseudo-inverse matrix

abstract:
  We are presenting a method of linear regression based on Gram-Schmidt
orthogonal projection that does not compute a pseudo-inverse matrix. This is
useful when we want to make several regressions with random data vectors for
simulation purposes.


title:
A New Stochastic Model of the Causal Interpretation of Quantum Theory on
  the Development of the Fundamental Concept of Mass

abstract:
  In this paper we pose two fundamental ideas on the motion of an elementary
particle supporting the internal "spin motion" or $\textit{Zitterbewegung}$ and
a particle as concentrated energy. First, the particle moves randomly in a
limited area (in a quantum sized-volume) like random vibrating system where the
particle will diffuse in a quantum-sized volume when it absorbs or emits the
quantized amount of energy. The quantum sized-volume can move too and plays
role similar to the carrier amplitude, while the vibrational motion of the
fundamental particle with frequency and amplitude represents a modulating
signal. The current of diffusion process taking place in the quantum
sized-volume will represent the emergence of a spin phenomenon shown by the
existence of Clifford algebra. Second, the particle is pure energy concentrated
on the surface of 3 dimensional sphere-form (2-manifold without boundary).
Afterward we show that by defining the particle mass as an invariant quantity
based on the two fundamental ideas, we can derive both the diffusion constant
of the particle in the quantum sized-volume as $\beta = \hslash/2m$ and the
Schr\"{o}dinger equation. Furthermore, by posing that the vibrational motion of
the particle limited on the quantum sized-volume plays fundamental role as time
interval unit (proper time or particle clock), we show that the relativistic
effects of the particle must represent atomic processes.


title: Split-Family SUSY, U(2)^5 Flavour Symmetry and Neutrino Physics

abstract:
  In split-family SUSY, one can use a U(2)^3 symmetry to protect flavour
observables in the quark sector from SUSY contributions. However, attempts to
extend this procedure to the lepton sector by using an analogous U(2)^5
symmetry fail to reproduce the neutrino data without introducing some form of
fine-tuning. In this work, we solve this problem by shifting the U(2)^2
symmetry acting on leptons towards the second and third generations. This
allows neutrino data to be reproduced without much difficulties, as well as
protecting the leptonic flavour observables from SUSY. Key signatures are a
$\mu\to e\gamma$ branching ratio possibly observable in the near future, as
well as having selectrons as the lightest sleptons.


title: Efficient Regularization of Squared Curvature

abstract:
  Curvature has received increased attention as an important alternative to
length based regularization in computer vision. In contrast to length, it
preserves elongated structures and fine details. Existing approaches are either
inefficient, or have low angular resolution and yield results with strong block
artifacts. We derive a new model for computing squared curvature based on
integral geometry. The model counts responses of straight line triple cliques.
The corresponding energy decomposes into submodular and supermodular pairwise
potentials. We show that this energy can be efficiently minimized even for high
angular resolutions using the trust region framework. Our results confirm that
we obtain accurate and visually pleasing solutions without strong artifacts at
reasonable run times.


title:
An Efficiently Solvable Quadratic Program for Stabilizing Dynamic
  Locomotion

abstract:
  We describe a whole-body dynamic walking controller implemented as a convex
quadratic program. The controller solves an optimal control problem using an
approximate value function derived from a simple walking model while respecting
the dynamic, input, and contact constraints of the full robot dynamics. By
exploiting sparsity and temporal structure in the optimization with a custom
active-set algorithm, we surpass the performance of the best available
off-the-shelf solvers and achieve 1kHz control rates for a 34-DOF humanoid. We
describe applications to balancing and walking tasks using the simulated Atlas
robot in the DARPA Virtual Robotics Challenge.


title: First-principles calculation of entropy for liquid metals

abstract:
  We demonstrate the accurate calculation of entropies and free energies for a
variety of liquid metals using an extension of the two phase thermodynamic
(2PT) model based on a decomposition of the velocity autocorrelation function
into gas-like (hard sphere) and solid-like (harmonic) subsystems. The hard
sphere model for the gas-like component is shown to give systematically high
entropies for liquid metals as a direct result of the unphysical Lorentzian
high-frequency tail. Using a memory function framework we derive a generally
applicable velocity autocorrelation and frequency spectrum for the diffusive
component which recovers the low frequency (long time) behavior of the hard
sphere model while providing for realistic short time coherence and high
frequency tails to the spectrum. This approach provides a significant increase
in the accuracy of the calculated entropies for liquid metals and is compared
to ambient pressure data for liquid sodium, aluminum, gallium, tin, and iron.
The use of this method for the determination of melt boundaries is demonstrated
with a calculation of the high pressure bcc melt boundary for sodium. With the
significantly improved accuracy available with the memory function treatment
for softer interatomic potentials, the 2PT model for entropy calculations
should find broader application in high energy density science, warm dense
matter, planetary science, geophysics, and material science.