title:
Galaxy And Mass Assembly (GAMA): Mid-Infrared Properties and Empirical
  Relations from $WISE$

abstract:
  The Galaxy And Mass Assembly (GAMA) survey furnishes a deep redshift catalog
that, when combined with the Wide-field Infrared Explorer ($WISE$), allows us
to explore for the first time the mid-infrared properties of $> 110, 000$
galaxies over 120 deg$^2$ to $z\simeq 0.5$. In this paper we detail the
procedure for producing the matched GAMA-$WISE$ catalog for the G12 and G15
fields, in particular characterising and measuring resolved sources; the
complete catalogs for all three GAMA equatorial fields will be made available
through the GAMA public releases. The wealth of multiwavelength photometry and
optical spectroscopy allows us to explore empirical relations between optically
determined stellar mass (derived from synthetic stellar population models) and
3.4micron and 4.6micron WISE measurements. Similarly dust-corrected
Halpha-derived star formation rates can be compared to 12micron and 22micron
luminosities to quantify correlations that can be applied to large samples to
$z<0.5$. To illustrate the applications of these relations, we use the 12micron
star formation prescription to investigate the behavior of specific star
formation within the GAMA-WISE sample and underscore the ability of WISE to
detect star-forming systems at $z\sim0.5$. Within galaxy groups (determined by
a sophisticated friends-of-friends scheme), results suggest that galaxies with
a neighbor within 100$\,h^{-1} $kpc have, on average, lower specific star
formation rates than typical GAMA galaxies with the same stellar mass.


title: Suppressing the Numerical Cherenkov Instability in FDTD PIC Codes

abstract:
  A procedure for largely suppressing the numerical Cherenkov instability in
finite difference time-domain (FDTD) particle-in-cell (PIC) simulations of
cold, relativistic beams is derived, and residual growth rates computed and
compared with WARP code simulation results. Sample laser-plasma acceleration
simulation output is provided to further validate the new procedure.

categories: physics.plasm-ph math.NA physics.acc-ph physics.comp-ph


title: Social Influences in Opinion Dynamics: the Role of Conformity

abstract:
  We study the effects of social influences in opinion dynamics. In particular,
we define a simple model, based on the majority rule voting, in order to
consider the role of conformity. Conformity is a central issue in social
psychology as it represents one of people's behaviors that emerges as a result
of their interactions. The proposed model represents agents, arranged in a
network and provided with an individual behavior, that change opinion in
function of those of their neighbors. In particular, agents can behave as
conformists or as nonconformists. In the former case, agents change opinion in
accordance with the majority of their social circle (i.e., their neighbors); in
the latter case, they do the opposite, i.e., they take the minority opinion.
Moreover, we investigate the nonconformity both on a global and on a local
perspective, i.e., in relation to the whole population and to the social circle
of each nonconformist agent, respectively. We perform a computational study of
the proposed model, with the aim to observe if and how the conformity affects
the related outcomes. Moreover, we want to investigate whether it is possible
to achieve some kind of equilibrium, or of order, during the evolution of the
system. Results highlight that the amount of nonconformist agents in the
population plays a central role in these dynamics. In particular, conformist
agents play the role of stabilizers in fully-connected networks, whereas the
opposite happens in complex networks. Furthermore, by analyzing complex
topologies of the agent network, we found that in the presence of radical
nonconformist agents the topology of the system has a prominent role; otherwise
it does not matter since we observed that a conformist behavior is almost
always more convenient. Finally, we analyze the results of the model by
considering that agents can change also their behavior over time.


title:
q-heat flow and the gradient flow of the Renyi entropy in the
  p-Wasserstein space

abstract:
  Based on the idea of a recent paper by Ambrosio-Gigli-Savar\'e in Invent.
Math. (2013), we show that flow of the $q$-Cheeger energy, called $q$-heat
flow, solves the gradient flow problem of the Renyi entropy functional in the
$p$-Wasserstein. For that, a further study of the $q$-heat flow is presented
including a condition for its mass preservation. Under a convexity assumption
on the upper gradient, which holds for all $q\ge2$, one gets uniqueness of the
gradient flow and the two flows can be identified. Smooth solution of the
$q$-heat flow are solution the parabolic q-Laplace equation, i.e.
$\partial_{t}f_{t}=\Delta_{q}f_{t}.$


title: Rumor processes on $\N$ and discrete renewal processes

abstract:
  We study two rumor processes on $\N$, the dynamics of which are related to an
SI epidemic model with long range transmission. Both models start with one
spreader at site $0$ and ignorants at all the other sites of $\N$, but differ
by the transmission mechanism. In one model, the spreaders transmit the
information within a random distance on their right, and in the other the
ignorants take the information from a spreader within a random distance on
their left.
  We obtain the probability of survival, information on the distribution of the
range of the rumor and limit theorems for the proportion of spreaders. The key
step of our proofs is to show that, in each model, the position of the
spreaders on $\N$ can be related to a suitably chosen discrete renewal process.


title: Remarks on a Bailey pair with one free parameter

abstract:
  We offer a more general Bailey pair than one that was proved in two different
papers by two different methods [5, 12].


title:
Least Squares Policy Iteration with Instrumental Variables vs. Direct
  Policy Search: Comparison Against Optimal Benchmarks Using Energy Storage

abstract:
  This paper studies approximate policy iteration (API) methods which use
least-squares Bellman error minimization for policy evaluation. We address
several of its enhancements, namely, Bellman error minimization using
instrumental variables, least-squares projected Bellman error minimization, and
projected Bellman error minimization using instrumental variables. We prove
that for a general discrete-time stochastic control problem, Bellman error
minimization using instrumental variables is equivalent to both variants of
projected Bellman error minimization. An alternative to these API methods is
direct policy search based on knowledge gradient. The practical performance of
these three approximate dynamic programming methods are then investigated in
the context of an application in energy storage, integrated with an
intermittent wind energy supply to fully serve a stochastic time-varying
electricity demand. We create a library of test problems using real-world data
and apply value iteration to find their optimal policies. These benchmarks are
then used to compare the developed policies. Our analysis indicates that API
with instrumental variables Bellman error minimization prominently outperforms
API with least-squares Bellman error minimization. However, these approaches
underperform our direct policy search implementation.


title: $D$-optimal saturated designs: a simulation study

abstract:
  In this work we focus on saturated $D$-optimal designs. Using recent results,
we identify $D$-optimal designs with the solutions of an optimization problem
with linear constraints. We introduce new objective functions based on the
geometric structure of the design and we compare them with the classical
$D$-efficiency criterion. We perform a simulation study. In all the test cases
we observe that designs with high values of $D$-efficiency have also high
values of the new objective functions.


title:
Fully commutative elements of type D and homogeneous representations of
  KLR-algebras

abstract:
  In this paper, we decompose the set of fully commutative elements into
natural subsets when the Coxeter group is of type $D_n$, and study the
combinatorics of these subsets, revealing hidden structures. (We do not
consider type $A_n$ first, since a similar decomposition for type $A_n$ is
trivial.) As an application, we classify and enumerate the homogeneous
representations of the Khovanov-Lauda-Rouquier algebras of type $D_n$.


title: The six Grothendieck operations on o-minimal sheaves

abstract:
  In this paper we develop the formalism of the Grothendieck six operations on
o-minimal sheaves. The Grothendieck formalism allows us to obtain o-minimal
versions of: (i) derived projection formula; (ii) universal coefficient
formula; (iii) derived base change formula; (iv) K\"unneth formula; (v) local
and global Verdier duality.


title: The Ups and Downs of Alpha Centauri

abstract:
  The following is a progress report on the long-term coronal activity of Alpha
Centauri A (HD128620: G2V) and B (HD128621: K1V). Since 2005, Chandra X-ray
Observatory has carried out semiannual pointings on AB, mainly with the High
Resolution Camera (HRC-I), but also on two occasions with the Low-Energy
Transmission Grating Spectrometer (LETGS), fully resolving the close pair in
all cases. During 2008-2013, Chandra captured the rise, peak, and initial
decline of B's coronal luminosity. Together with previous high states
documented by ROSAT and XMM-Newton, the long-term X-ray record suggests a
period of 8.2+/-0.2 yr, compared to 11 yr for the Sun; with a minimum-to-peak
contrast of 4.5, about half the typical solar cycle amplitude. Meanwhile, the A
component has been mired in a Maunder-Minimum-like low state since 2005,
initially recognized by XMM. But now, A finally appears to be climbing out of
the extended lull. If interpreted simply as an over-long cycle, the period
would be 19.1+/-0.7 yr, with a minimum-to-peak contrast of 3.4. The short X-ray
cycle of B, and possibly long cycle of A, are not unusual compared with the
diverse (albeit much lower amplitude) chromospheric variations recorded, for
example, by the HK Project. Further, the deep low state of A also is not
unusual, but instead is similar to the Sun during recent minima of the sunspot
cycle.


title:
Experimental Discovery of Topological Surface States - A New Type of 2D
  Electron Systems (Review Article)

abstract:
  Topological Surface States (TSS) represent new types of two dimensional
electron systems with novel and unprecedented properties distinct from any
quantum Hall-like or spin-Hall effects. Their Z$_2$ topological order can be
realized at room temperatures without magnetic fields and they can be turned
into magnets, exotic superconductors or Kondo insulators leading to worldwide
interest and activity in the topic. We review the basic concepts defining such
topological matter and the experimental discovery via the key experimental
probe that revealed the Z$_2$ topological order in the bulk of these spin-orbit
interaction dominated insulators for the first time. This review focuses on the
key results that demonstrated the fundamental Z$_2$ topological properties such
as spin-momentum locking, non-trivial Berry's phases, mirror Chern number,
absence of backscattering, bulk-boundary correspondence (topology), protection
by time-reversal and other discrete (mirror) symmetries and their remarkable
persistence up to the room temperature elaborating on results first briefly
discussed in an early review by M.Z. Hasan and C.L. Kane [Rev. of Mod. Phys.,
82, 3045 (2010)]. Additionally, key results on broken symmetry phases such as
quantum magnetism and superconductivity induced in topological materials are
briefly discussed. Topological insulators beyond the Z$_2$ classification such
as Topological Crystalline Insulators (TCI) are discussed based on their spin
properties (mirror Chern invariants). The experimental methodologies detailed
here have been used in most of the subsequent studies of Z$_2$ topological
physics in almost all bulk topological insulator materials to this date.


title:
Equations determining the orbit of the highest weight vector in the
  adjoint representation

abstract:
  We explicitly construct a set of quadratic equations defining the highest
weight vector orbit for adjoint representations of Chevalley groups of types
D_l, E_6, E_7, and E_8. The combinatorics of these equations is related to the
combinatorics of embeddings of the root system of type A_3. We believe that the
constructed equations provide a prominent framework for calculations with
exceptional groups in adjoint representations, which is particularly
interesting for groups of type E_8.


title: Magnetic spectral bounds on starlike plane domains

abstract:
  We develop sharp upper bounds for energy levels of the magnetic Laplacian on
starlike plane domains, under either Dirichlet or Neumann boundary conditions
and assuming a constant magnetic field in the transverse direction. Our main
result says that $\sum_{j=1}^n \Phi \big( \lambda_j A/G \big)$ is maximal for a
disk whenever $\Phi$ is concave increasing, $n \geq 1$, the domain has area
$A$, and $\lambda_j$ is the $j$-th Dirichlet eigenvalue of the magnetic
Laplacian $\big( i\nabla+ \frac{\beta}{2A}(-x_2,x_1) \big)^2$. Here the flux
$\beta$ is constant, and the scale invariant factor $G$ penalizes deviations
from roundness, meaning $G \geq 1$ for all domains and $G=1$ for disks.


title:
Hierarchical model reduction of nonlinear partial differential equations
  based on the adaptive empirical projection method and reduced basis
  techniques

abstract:
  In this paper we extend the hierarchical model reduction framework based on
reduced basis techniques for the application to nonlinear partial differential
equations. The major new ingredient to accomplish this goal is the introduction
of the adaptive empirical projection method, which is an adaptive integration
algorithm based on the (generalized) empirical interpolation method. Different
from other partitioning concepts for the empirical interpolation method we
perform an adaptive decomposition of the spatial domain. We project both the
variational formulation and the range of the nonlinear operator onto reduced
spaces. Those reduced spaces combine the full dimensional (finite element)
space in an identified dominant spatial direction and a reduction space or
collateral basis space spanned by modal orthonormal basis functions in the
transverse direction. Both the reduction and the collateral basis space are
constructed in a highly nonlinear fashion by introducing a parametrized problem
in the transverse direction and associated parametrized operator evaluations,
and by applying reduced basis methods to select the bases from the
corresponding snapshots. Rigorous a priori and a posteriori error estimators,
which do not require additional regularity of the nonlinear operator are proven
for the adaptive empirical projection method and then used to derive a rigorous
a posteriori error estimator for the resulting hierarchical model reduction
approach. Numerical experiments for an elliptic nonlinear diffusion equation
demonstrate a fast convergence of the proposed dimensionally reduced
approximation to the solution of the full-dimensional problem. Runtime
experiments verify a close to linear scaling of the reduction method in the
number of degrees of freedom used for the computations in the dominant
direction.


title: Concave Penalized Estimation of Sparse Gaussian Bayesian Networks

abstract:
  We develop a penalized likelihood estimation framework to estimate the
structure of Gaussian Bayesian networks from observational data. In contrast to
recent methods which accelerate the learning problem by restricting the search
space, our main contribution is a fast algorithm for score-based structure
learning which does not restrict the search space in any way and works on
high-dimensional datasets with thousands of variables. Our use of concave
regularization, as opposed to the more popular $\ell_0$ (e.g. BIC) penalty, is
new. Moreover, we provide theoretical guarantees which generalize existing
asymptotic results when the underlying distribution is Gaussian. Most notably,
our framework does not require the existence of a so-called faithful DAG
representation, and as a result the theory must handle the inherent
nonidentifiability of the estimation problem in a novel way. Finally, as a
matter of independent interest, we provide a comprehensive comparison of our
approach to several standard structure learning methods using open-source
packages developed for the R language. Based on these experiments, we show that
our algorithm is significantly faster than other competing methods while
obtaining higher sensitivity with comparable false discovery rates for
high-dimensional data. In particular, the total runtime for our method to
generate a solution path of 20 estimates for DAGs with 8000 nodes is around one
hour.


title: Definition and Self-Adjointness of the Stochastic Airy Operator

abstract:
  In this note, it is shown that the stochastic Airy operator, which is the
"Schr\"odinger operator" on the half-line whose potential term consists of
Gaussian white noise plus a linear term tending to $+\infty$, can naturally be
defined as a generalized Sturm-Liouville operator and that it is self-adjoint
and has purely discrete spectrum with probability one. Thus "stochastic Airy
spectrum" of Ram\'irez, Rider and Vir\'ag is the spectrum of an operator in the
ordinary sense of the word.


title: Multivariate Ap\'ery numbers and supercongruences of rational functions

abstract:
  One of the many remarkable properties of the Ap\'ery numbers $A (n)$,
introduced in Ap\'ery's proof of the irrationality of $\zeta (3)$, is that they
satisfy the two-term supercongruences \begin{equation*}
  A (p^r m) \equiv A (p^{r - 1} m) \pmod{p^{3 r}} \end{equation*} for primes $p
\geq 5$. Similar congruences are conjectured to hold for all Ap\'ery-like
sequences. We provide a fresh perspective on the supercongruences satisfied by
the Ap\'ery numbers by showing that they extend to all Taylor coefficients $A
(n_1, n_2, n_3, n_4)$ of the rational function \begin{equation*}
  \frac{1}{(1 - x_1 - x_2) (1 - x_3 - x_4) - x_1 x_2 x_3 x_4} . \end{equation*}
The Ap\'ery numbers are the diagonal coefficients of this function, which is
simpler than previously known rational functions with this property.
  Our main result offers analogous results for an infinite family of sequences,
indexed by partitions $\lambda$, which also includes the Franel and
Yang--Zudilin numbers as well as the Ap\'ery numbers corresponding to $\zeta
(2)$. Using the example of the Almkvist--Zudilin numbers, we further indicate
evidence of multivariate supercongruences for other Ap\'ery-like sequences.


title:
Non-stationary Resource Allocation Policies for Delay-constrained Video
  Streaming: Application to Video over Internet-of-Things-enabled Networks

abstract:
  Due to the high bandwidth requirements and stringent delay constraints of
multi-user wireless video transmission applications, ensuring that all video
senders have sufficient transmission opportunities to use before their delay
deadlines expire is a longstanding research problem. We propose a novel
solution that addresses this problem without assuming detailed packet-level
knowledge, which is unavailable at resource allocation time. Instead, we
translate the transmission delay deadlines of each sender's video packets into
a monotonically-decreasing weight distribution within the considered time
horizon. Higher weights are assigned to the slots that have higher probability
for deadline-abiding delivery. Given the sets of weights of the senders' video
streams, we propose the low-complexity Delay-Aware Resource Allocation (DARA)
approach to compute the optimal slot allocation policy that maximizes the
deadline-abiding delivery of all senders. A unique characteristic of the DARA
approach is that it yields a non-stationary slot allocation policy that depends
on the allocation of previous slots. We prove that the DARA approach is optimal
for weight distributions that are exponentially decreasing in time. We further
implement our framework for real-time video streaming in wireless personal area
networks that are gaining significant traction within the new
Internet-of-Things (IoT) paradigm. For multiple surveillance videos encoded
with H.264/AVC and streamed via the 6tisch framework that simulates the
IoT-oriented IEEE 802.15.4e TSCH medium access control, our solution is shown
to be the only one that ensures all video bitstreams are delivered with
acceptable quality in a deadline-abiding manner.


title:
The pseudorapidity distributions of the produced charged particles in
  p-p collisions at center-of-mass energies from 23.6 to 900 GeV

abstract:
  In p-p collisions, there are two leading particles. One is in projectile
fragmentation region. The other is in target fragmentation region. The
investigations of present paper show that, just like in nucleus-nucleus
collisions, the revised Landau hydrodynamic model alone is not enough to have a
good description to the measured pseudorapidity distributions of the produced
charged particles in p-p collisions. Only after the leading particles are taken
into account as well, can the experimental data be matched up properly. The
theoretical model works well in p-p collisions in the whole available energy
region from sqrt(s_NN) =23.6 to 900 GeV.


title:
Metric ultraproducts of finite groups with respect to some length
  functions

abstract:
  We consider metric ultraproducts of finite groups with respect to some
classes of length functions. All sofic groups embed into these ultraproducts.
We study embeddings of normed groups. We also show that in some natural
situations such an ultraproduct is a simple group.


title: Multimodal Optimization by Sparkling Squid Populations

abstract:
  The swarm intelligence of animals is a natural paradigm to apply to
optimization problems. Ant colony, bee colony, firefly and bat algorithms are
amongst those that have been demonstrated to efficiently to optimize complex
constraints. This paper proposes the new Sparkling Squid Algorithm (SSA) for
multimodal optimization, inspired by the intelligent swarm behavior of its
namesake. After an introduction, formulation and discussion of its
implementation, it will be compared to other popular metaheuristics. Finally,
applications to well - known problems such as image registration and the
traveling salesperson problem will be discussed.


title: Nucleon form factors program with SBS at JLAB

abstract:
  The physics of the nucleon form factors is a fundamental part of the
Jefferson Laboratory program. We review the achievements of the 6-GeV era and
the program with the 12- GeV beam with the SBS spectrometer in Hall A, with a
focus on the nucleon ground state properties.


title:
A new characterization of Calabi composition of hyperbolic affine
  hyperspheres

abstract:
  In this paper, we mainly prove a theorem with a corollary establishing two
characterizations of the Calabi composition of hyperbolic hyperspheres, where
the second characterization (i.e., the corollary) has been given via a dual
correspondence theorem earlier but now we would like to use a very direct
method. Note that Z.J. Hu, H.Z. Li and L. Vrancken also gave a characterization
of the $2$-factor Calabi composition in a different manner.


title: The Sanford Underground Research Facility at Homestake

abstract:
  The former Homestake gold mine in Lead, South Dakota is being transformed
into a dedicated laboratory to pursue underground research in rare-process
physics, as well as offering research opportunities in other disciplines such
as biology, geology and engineering. A key component of the Sanford Underground
Research Facility (SURF) is the Davis Campus, which is in operation at the
4850-foot level (4300 m.w.e) and currently hosts three projects: the LUX dark
matter experiment, the MAJORANA DEMONSTRATOR neutrinoless double-beta decay
experiment and the CUBED low-background counter. Plans for possible future
experiments at SURF are well underway and include long baseline neutrino
oscillation experiments, future dark matter experiments as well as nuclear
astrophysics accelerators. Facility upgrades to accommodate some of these
future projects have already started. SURF is a dedicated facility with
significant expansion capability.


title: On extensions of wavelet systems to dual pairs of frames

abstract:
  It is an open problem whether any pair of Bessel sequences with wavelet
structure can be extended to a pair of dual frames by adding a pair of singly
generated wavelet systems. We consider the particular case where the given
wavelet systems are generated by the multiscale setup with trigonometric masks
and provide a positive answer under extra assumptions. We also identify a
number of conditions that are necessary for the extension to dual multiscale
wavelet frames with any number of generators, and show that they imply that an
extension with two pairs of wavelet systems is possible. Along the way we
provide examples showing that extensions to dual frame pairs are attractive
because they often allow better properties than the more popular extensions to
tight frames.


title: Power-law expansion and Higgs-type potential in a scalar-tensor model

abstract:
  In the scalar-tensor model with Gauss-Bonnet and kinetic couplings, the
power-law dark energy solution may be described by Higgs-type potential. It was
found that in the solution describing early time epoch of matter dominance, the
potential presents symmetry breaking phase, and the power law solution leading
to accelerated expansion corresponds to Higgs-type potential in its symmetric
shape.


title: Predicting a Business Star in Yelp from Its Reviews Text Alone

abstract:
  Yelp online reviews are invaluable source of information for users to choose
where to visit or what to eat among numerous available options. But due to
overwhelming number of reviews, it is almost impossible for users to go through
all reviews and find the information they are looking for. To provide a
business overview, one solution is to give the business a 1-5 star(s). This
rating can be subjective and biased toward users personality. In this paper, we
predict a business rating based on user-generated reviews texts alone. This not
only provides an overview of plentiful long review texts but also cancels out
subjectivity. Selecting the restaurant category from Yelp Dataset Challenge, we
use a combination of three feature generation methods as well as four machine
learning models to find the best prediction result. Our approach is to create
bag of words from the top frequent words in all raw text reviews, or top
frequent words/adjectives from results of Part-of-Speech analysis. Our results
show Root Mean Square Error (RMSE) of 0.6 for the combination of Linear
Regression with either of the top frequent words from raw data or top frequent
adjectives after Part-of-Speech (POS).


title:
Novel Non-equilibrium Phase Transition Caused by Non-linear
  Hadronic-quark Phase Structure

abstract:
  We consider how the occurrence of first-order phase transitions in
non-constant pressure differs from those at constant pressure. The former has
shown the non-linear phase structure of mixed matter, which implies a particle
number dependence of the binding energies of the two species. If the mixed
matter is mixed hadron-quark phase, nucleon outgoing from hadronic phase and
ingoing to quark phase probably reduces the system to a non-equilibrium state,
in other words, there exists the imbalance of the two phases when deconfinement
takes place. This novel non-equilibrium process is very analogous to the
nuclear reactions that nuclei emit neutrons and absorb them under appropriate
conditions. We present self-consistent thermodynamics in description for the
processes and identify the microphysics responsible for the processes. The
microphysics is an inevitable consequence of non-linear phase structure instead
of the effect of an additional dissipation force. When applying our findings to
the neutron star containing mixed hadron-quark matter, it is found that the
newly discovered energy release might strongly change the thermal evolution
behavior of the star.


title: Perturbation of the Kerr Metric

abstract:
  A new Kerr-like metric with quadrupole moment is obtained by means of
perturbing the Kerr spacetime. By comparison with the exterior Hartle-Thorne
metric, it is showed that it could be matched to an interior solution. This
metric may represent the spacetime of an astrophysical object.


title: Normal mode analysis of disordered random-matrix ensembles

abstract:
  The statistics of random-matrix spectra can be very sensitive to the
unfolding procedure that separates global from local properties. In order to
avoid the introduction of possible artifacts, recently it has been applied to
ergodic ensembles of Random Matrix Theory (RMT) the singular value
decomposition (SVD) method, based on normal mode analysis, which characterizes
the long-range correlations of the spectral fluctuations in a direct way
without performing any unfolding. However, in the case of more general
ensembles, the ergodicity property is often broken leading to ambiguities
between spectrum-unfolded and ensemble-unfolded fluctuation statistics. Here,
we apply SVD to a disordered random-matrix ensemble with tunable nonergodicity,
as a mathematical framework to characterize the nonergodicity. We show that
ensemble-averaged and individual-spectrum averaged statistics are calculated
consistently using the same normal mode basis, and the nonergodicity is
explained as a breakdown of this common basis.


title:
The Milnor fibration of a hyperplane arrangement: from modular resonance
  to algebraic monodromy

abstract:
  A central question in arrangement theory is to determine whether the
characteristic polynomial $\Delta_q$ of the algebraic monodromy acting on the
homology group $H_q(F(\mathcal{A}),\mathbb{C})$ of the Milnor fiber of a
complex hyperplane arrangement $\mathcal{A}$ is determined by the intersection
lattice $L(\mathcal{A})$. Under simple combinatorial conditions, we show that
the multiplicities of the factors of $\Delta_1$ corresponding to certain
eigenvalues of order a power of a prime $p$ are equal to the Aomoto--Betti
numbers $\beta_p(\mathcal{A})$, which in turn are extracted from
$L(\mathcal{A})$. When $\mathcal{A}$ defines an arrangement of projective lines
with only double and triple points, this leads to a combinatorial formula for
the algebraic monodromy. To obtain these results, we relate nets on the
underlying matroid of $\mathcal{A}$ to resonance varieties in positive
characteristic. Using modular invariants of nets, we find a new realizability
obstruction (over $\mathbb{C}$) for matroids, and we estimate the number of
essential components in the first complex resonance variety of $\mathcal{A}$.
Our approach also reveals a rather unexpected connection of modular resonance
with the geometry of ${\rm SL}_2(\mathbb{C})$-representation varieties, which
are governed by the Maurer--Cartan equation.


title:
Schatten-$p$ Quasi-Norm Regularized Matrix Optimization via Iterative
  Reweighted Singular Value Minimization

abstract:
  In this paper we study general Schatten-$p$ quasi-norm (SPQN) regularized
matrix minimization problems. In particular, we first introduce a class of
first-order stationary points for them, and show that the first-order
stationary points introduced in [11] for an SPQN regularized $vector$
minimization problem are equivalent to those of an SPQN regularized $matrix$
minimization reformulation. We also show that any local minimizer of the SPQN
regularized matrix minimization problems must be a first-order stationary
point. Moreover, we derive lower bounds for nonzero singular values of the
first-order stationary points and hence also of the local minimizers of the
SPQN regularized matrix minimization problems. The iterative reweighted
singular value minimization (IRSVM) methods are then proposed to solve these
problems, whose subproblems are shown to have a closed-form solution. In
contrast to the analogous methods for the SPQN regularized $vector$
minimization problems, the convergence analysis of these methods is
significantly more challenging. We develop a novel approach to establishing the
convergence of these methods, which makes use of the expression of a specific
solution of their subproblems and avoids the intricate issue of finding the
explicit expression for the Clarke subdifferential of the objective of their
subproblems. In particular, we show that any accumulation point of the sequence
generated by the IRSVM methods is a first-order stationary point of the
problems. Our computational results demonstrate that the IRSVM methods
generally outperform some recently developed state-of-the-art methods in terms
of solution quality and/or speed.


title:
Pectoral Muscles Suppression in Digital Mammograms using Hybridization
  of Soft Computing Methods

abstract:
  Breast region segmentation is an essential prerequisite in computerized
analysis of mammograms. It aims at separating the breast tissue from the
background of the mammogram and it includes two independent segmentations. The
first segments the background region which usually contains annotations, labels
and frames from the whole breast region, while the second removes the pectoral
muscle portion (present in Medio Lateral Oblique (MLO) views) from the rest of
the breast tissue. In this paper we propose hybridization of Connected
Component Labeling (CCL), Fuzzy, and Straight line methods. Our proposed
methods worked good for separating pectoral region. After removal pectoral
muscle from the mammogram, further processing is confined to the breast region
alone. To demonstrate the validity of our segmentation algorithm, it is
extensively tested using over 322 mammographic images from the Mammographic
Image Analysis Society (MIAS) database. The segmentation results were evaluated
using a Mean Absolute Error (MAE), Hausdroff Distance (HD), Probabilistic Rand
Index (PRI), Local Consistency Error (LCE) and Tanimoto Coefficient (TC). The
hybridization of fuzzy with straight line method is given more than 96% of the
curve segmentations to be adequate or better. In addition a comparison with
similar approaches from the state of the art has been given, obtaining slightly
improved results. Experimental results demonstrate the effectiveness of the
proposed approach.


title:
Stylistic Clusters and the Syrian/South Syrian Tradition of
  First-Millennium BCE Levantine Ivory Carving: A Machine Learning Approach

abstract:
  Thousands of first-millennium BCE ivory carvings have been excavated from
Neo-Assyrian sites in Mesopotamia (primarily Nimrud, Khorsabad, and Arslan
Tash) hundreds of miles from their Levantine production contexts. At present,
their specific manufacture dates and workshop localities are unknown. Relying
on subjective, visual methods, scholars have grappled with their classification
and regional attribution for over a century. This study combines visual
approaches with machine-learning techniques to offer data-driven perspectives
on the classification and attribution of this early Iron Age corpus. The study
sample consisted of 162 sculptures of female figures. We have developed an
algorithm that clusters the ivories based on a combination of descriptive and
anthropometric data. The resulting categories, which are based on purely
statistical criteria, show good agreement with conventional art historical
classifications, while revealing new perspectives, especially with regard to
the contested Syrian/South Syrian/Intermediate tradition. Specifically, we have
identified that objects of the Syrian/South Syrian/Intermediate tradition may
be more closely related to Phoenician objects than to North Syrian objects; we
offer a reconsideration of a subset of Phoenician objects, and we confirm
Syrian/South Syrian/Intermediate stylistic subgroups that might distinguish
networks of acquisition among the sites of Nimrud, Khorsabad, Arslan Tash and
the Levant. We have also identified which features are most significant in our
cluster assignments and might thereby be most diagnostic of regional carving
traditions. In short, our study both corroborates traditional visual
classification methods and demonstrates how machine-learning techniques may be
employed to reveal complementary information not accessible through the
exclusively visual analysis of an archaeological corpus.


title:
Binary Linear Classification and Feature Selection via Generalized
  Approximate Message Passing

abstract:
  For the problem of binary linear classification and feature selection, we
propose algorithmic approaches to classifier design based on the generalized
approximate message passing (GAMP) algorithm, recently proposed in the context
of compressive sensing. We are particularly motivated by problems where the
number of features greatly exceeds the number of training examples, but where
only a few features suffice for accurate classification. We show that
sum-product GAMP can be used to (approximately) minimize the classification
error rate and max-sum GAMP can be used to minimize a wide variety of
regularized loss functions. Furthermore, we describe an
expectation-maximization (EM)-based scheme to learn the associated model
parameters online, as an alternative to cross-validation, and we show that
GAMP's state-evolution framework can be used to accurately predict the
misclassification rate. Finally, we present a detailed numerical study to
confirm the accuracy, speed, and flexibility afforded by our GAMP-based
approaches to binary linear classification and feature selection.


title:
Comment on `On the Quantum Theory of Molecules' [J. Chem.Phys. {\bf
  137}, 22A544 (2012)]

abstract:
  In our previous paper [J. Chem.Phys. {\bf 137}, 22A544 (2012)] we argued that
the Born-Oppenheimer approximation could not be based on an exact
transformation of the molecular Schr\"{o}dinger equation. In this Comment we
suggest that the fundamental reason for the approximate nature of the
Born-Oppenheimer model is the lack of a complete set of functions for the
electronic space, and the need to describe the continuous spectrum using
spectral projection.


title: Spin torque building blocks

abstract:
  The discovery of the spin torque effect has made magnetic nanodevices
realistic candidates for active elements of memory devices and applications.
Magnetoresistive effects allow the read-out of increasingly small magnetic
bits, and the spin torque provides an efficient tool to manipulate - precisely,
rapidly and at low energy cost - the magnetic state, which is in turn the
central information medium of spintronic devices. By keeping the same magnetic
stack, but by tuning a device's shape and bias conditions, the spin torque can
be engineered to build a variety of advanced magnetic nanodevices. Here we show
that by assembling these nanodevices as building blocks with different
functionalities, novel types of computing architectures can be envisisaged. We
focus in particular on recent concepts such as magnonics and spintronic neural
networks.


title:
Determining the Possibilities and Certainties in Network Participation
  for MANETS

abstract:
  A mobile ad hoc network is a self organized cooperative network that works
without any permanent infrastructure. This infrastructure less design makes it
complex compared to other wireless networks. Lot of attacks and misbehavior
obstruct the growth and implementation. The majority of attacks and misbehavior
can be handled by existing protocols. But these protocols reduce the total
strength of nodes in a network because they isolate nodes from network
participation having lesser reputation value. To cope with this problem we have
presented the Possibility and Certainty model. This model uses reputation value
to determine the possibilities and certainties in network participation. The
proposed model classifies nodes into three classes such as certain or HIGH
grade possible or MED grade and not possible or LOW grade. Choosing HIGH grade
nodes in network activities improves the Packet Delivery Ratio which enhances
the throughput of the MANET. On the other hand when node strength is poor we
choose MED grade nodes for network activities. Thus the proposed model allows
communication in the worst scenario with the possibility of success. It
protects a network from misbehavior by isolating LOW grade nodes from routing
paths.


title:
The Farrell-Jones conjecture for arbitrary lattices in virtually
  connected Lie groups

abstract:
  We prove the K- and the $L$-theoretic Farrell-Jones conjecture with
coefficients in additive categories and with finite wreath products for
arbitrary lattices in virtually connected Lie groups.


title:
Space-Time Coded Spatial Modulated Physical Layer Network Coding for
  Two-Way Relaying

abstract:
  Using the spatial modulation approach, where only one transmit antenna is
active at a time, we propose two transmission schemes for two-way relay channel
using physical layer network coding with space time coding using Coordinate
Interleaved Orthogonal Designs (CIOD's). It is shown that using two
uncorrelated transmit antennas at the nodes, but using only one RF transmit
chain and space-time coding across these antennas can give a better performance
without using any extra resources and without increasing the hardware
implementation cost and complexity. In the first transmission scheme, two
antennas are used only at the relay, Adaptive Network Coding (ANC) is employed
at the relay and the relay transmits a CIOD Space Time Block Code (STBC). This
gives a better performance compared to an existing ANC scheme for two-way relay
channel which uses one antenna each at all the three nodes. It is shown that
for this scheme at high SNR the average end-to-end symbol error probability
(SEP) is upper bounded by twice the SEP of a point-to-point fading channel. In
the second transmission scheme, two transmit antennas are used at all the three
nodes, CIOD STBC's are transmitted in multiple access and broadcast phases.
This scheme provides a diversity order of two for the average end-to-end SEP
with an increased decoding complexity of $\mathcal{O}(M^3)$ for an arbitrary
signal set and $\mathcal{O}(M^2\sqrt{M})$ for square QAM signal set.


title:
Hybrid paramagnetic-ferromagnetic quantum computer design based on
  electron spin arrays and a ferromagnetic nanostripe

abstract:
  General design for the practical implementation of hybrid
paramagnetic-ferromagnetic quantum computer.


title:
Improved 3D Superresolution Localization Microscopy Using Adaptive
  Optics

abstract:
  We demonstrate a new versatile method for 3D super-resolution microscopy by
using a deformable mirror to shape the point spread function of our microscope
in a continuous and controllable way. We apply this for 3D STORM imaging of
microtubules.


title: Optimal Competitive Auctions

abstract:
  We study the design of truthful auctions for selling identical items in
unlimited supply (e.g., digital goods) to n unit demand buyers. This classic
problem stands out from profit-maximizing auction design literature as it
requires no probabilistic assumptions on buyers' valuations and employs the
framework of competitive analysis. Our objective is to optimize the worst-case
performance of an auction, measured by the ratio between a given benchmark and
revenue generated by the auction.
  We establish a sufficient and necessary condition that characterizes
competitive ratios for all monotone benchmarks. The characterization identifies
the worst-case distribution of instances and reveals intrinsic relations
between competitive ratios and benchmarks in the competitive analysis. With the
characterization at hand, we show optimal competitive auctions for two natural
benchmarks.
  The most well-studied benchmark $\mathcal{F}^{(2)}(\cdot)$ measures the
envy-free optimal revenue where at least two buyers win. Goldberg et al. [13]
showed a sequence of lower bounds on the competitive ratio for each number of
buyers n. They conjectured that all these bounds are tight. We show that
optimal competitive auctions match these bounds. Thus, we confirm the
conjecture and settle a central open problem in the design of digital goods
auctions. As one more application we examine another economically meaningful
benchmark, which measures the optimal revenue across all limited-supply Vickrey
auctions. We identify the optimal competitive ratios to be
$(\frac{n}{n-1})^{n-1}-1$ for each number of buyers n, that is $e-1$ as $n$
approaches infinity.


title: Dynamics of spin-flip photon-assisted tunneling

abstract:
  We present time-resolved measurements of spin-flip photon-assisted tunneling
and spin-flip relaxation in a doubly occupied double quantum dot. The
photon-assisted excitation rate as a function of magnetic field indicates that
spin-orbit coupling is the dominant mechanism behind the spin-flip under the
present conditions. We are able to extract the resulting effective `spin-flip
tunneling' energy, which is found to be three orders of magnitude smaller than
the regular spin-conserving tunneling energy. We also measure the relaxation
and dephasing times of a qubit formed out of two two-electron states with
different spin and charge configurations.


title:
Exploring Steinitz-Rademacher polyhedra: A challenge for automated
  reasoning tools

abstract:
  This note reports on some experiments, using a handful of standard automated
reasoning tools, for exploring Steinitz-Rademacher polyhedra, which are models
of a certain first-order theory of incidence structures. This theory and its
models, even simple ones, presents significant, geometrically fascinating
challenges for automated reasoning tools.


title: Magnon-Mediated Dzyaloshinskii-Moriya Torque in Homogeneous Ferromagnets

abstract:
  In thin magnetic layers with structural inversion asymmetry and spin-orbit
coupling, a Dzyaloshinskii-Moriya interaction arises at the interface. When a
spin wave current ${\bf j}_m$ flows in a system with a homogeneous
magnetization {\bf m}, this interaction produces an effective field-like torque
on the form ${\bf T}_{\rm FL}\propto{\bf m}\times({\bf z}\times{\bf j}_m)$ as
well as a damping-like torque, ${\bf T}_{\rm DL}\propto{\bf m}\times[({\bf
z}\times{\bf j}_m)\times{\bf m}]$ in the presence of spin-wave relaxation
(${\bf z}$ is normal to the interface). These torques mediated by the magnon
flow can reorient the time-averaged magnetization direction and display a
number of similarities with the torques arising from the electron flow in a
magnetic two dimensional electron gas with Rashba spin-orbit coupling. This
magnon-mediated spin-orbit torque can be efficient in the case of magnons
driven by a thermal gradient.


title: Superconformal vertex algebras in four dimensions

abstract:
  A superfield formalism for quantum fields with N-extended superconformal
symmetry is developed using vertex algebra techniques in four dimensions.


title: Knowledge Spaces and the Completeness of Learning Strategies

abstract:
  We propose a theory of learning aimed to formalize some ideas underlying
Coquand's game semantics and Krivine's realizability of classical logic. We
introduce a notion of knowledge state together with a new topology, capturing
finite positive and negative information that guides a learning strategy. We
use a leading example to illustrate how non-constructive proofs lead to
continuous and effective learning strategies over knowledge spaces, and prove
that our learning semantics is sound and complete w.r.t. classical truth, as it
is the case for Coquand's and Krivine's approaches.


title:
Spectrum Hole Prediction Based On Historical Data: A Neural Network
  Approach

abstract:
  The concept of cognitive radio pioneered by Mitola promises to change the
future of wireless communication especially in the area of spectrum management.
Currently, the command and control strategy employed in spectrum assignment is
too rigid and needs to be reviewed. Recent studies have shown that assigned
spectrum is underutilized spectrally and temporally. Cognitive radio provides a
viable solution whereby licensed users can share the spectrum with unlicensed
users opportunistically without causing interference. Unlicensed users must be
able to sense weather the channel is busy or idle, failure to do so will lead
to interference to the licensed user. In this paper, a neural network based
prediction model for predicting the channel status using historical data
obtained during a spectrum occupancy measurement is presented. Genetic
algorithm is combined with LM BP for increasing the probability of obtaining
the best weights thus optimizing the network. The results obtained indicate
high prediction accuracy over all bands considered


title: Learning parametric dictionaries for graph signals

abstract:
  In sparse signal representation, the choice of a dictionary often involves a
tradeoff between two desirable properties -- the ability to adapt to specific
signal data and a fast implementation of the dictionary. To sparsely represent
signals residing on weighted graphs, an additional design challenge is to
incorporate the intrinsic geometric structure of the irregular data domain into
the atoms of the dictionary. In this work, we propose a parametric dictionary
learning algorithm to design data-adapted, structured dictionaries that
sparsely represent graph signals. In particular, we model graph signals as
combinations of overlapping local patterns. We impose the constraint that each
dictionary is a concatenation of subdictionaries, with each subdictionary being
a polynomial of the graph Laplacian matrix, representing a single pattern
translated to different areas of the graph. The learning algorithm adapts the
patterns to a training set of graph signals. Experimental results on both
synthetic and real datasets demonstrate that the dictionaries learned by the
proposed algorithm are competitive with and often better than unstructured
dictionaries learned by state-of-the-art numerical learning algorithms in terms
of sparse approximation of graph signals. In contrast to the unstructured
dictionaries, however, the dictionaries learned by the proposed algorithm
feature localized atoms and can be implemented in a computationally efficient
manner in signal processing tasks such as compression, denoising, and
classification.


title: Holographic RG flow and the Quantum Effective Action

abstract:
  The calculation of the full (renormalized) holographic action is undertaken
in general Einstein-scalar theories. The appropriate formalism is developed and
the renormalized effective action is calculated up to two derivatives in the
metric and scalar operators. The holographic RG equations involve Ricci flow
for the space-time metric as well as the standard $\beta$-function flow for
scalar operators. Several examples are analyzed and the effective action is
calculated. A set of conserved quantities of the holographic flow is found,
whose interpretation is not yet understood.


title:
Research on the mobile robots intelligent path planning based on ant
  colony algorithm application in manufacturing logistics

abstract:
  With the development of robotics and artificial intelligence field
unceasingly thorough, path planning as an important field of robot calculation
has been widespread concern. This paper analyzes the current development of
robot and path planning algorithm and focuses on the advantages and
disadvantages of the traditional intelligent path planning as well as the path
planning. The problem of mobile robot path planning is studied by using ant
colony algorithm, and it also provides some solving methods.


title:
Formation of different isotopomers of chloronium in the interstellar
  medium

abstract:
  Main focus of this paper is to explore the possibility of findings two
deuterated isotopomers of H2Cl+ (Chloronium) in and around the Interstellar
Medium (ISM). Presence of Chloronium ion has recently been confirmed by
Herschel Space Observatory's Heterodyne Instrument for the Far-Infrared
(Neufeld et al., 2012). It observed para-chloronium towards six sources in the
Galaxy. Existence of its deuterated isotopomers (HDCl+ & D2Cl+) are till date
not discussed in the literature. We find that these deuterated gas phase ions
could be destroyed by various ion-molecular reactions, dissociative
recombination (DR) and by cosmic rays (CR). We compute all the Ion-molecular
(polar) reaction rates by using the parameterized trajectory theory and the
Ion-molecular (non-polar) reaction rates by using the Langevin theory. For DR
and CR induced reactions, we adopt two well behaved rate formulas. We also
include these rate coefficients into our large gas-grain chemical network to
study the chemical evolution of these species around the outer edge of the cold
dense cloud. In order to study spectral properties of chloronium ion and its
two deuterated isotopomers, we have carried out quantum chemical simulations.
We calculated ground state properties of these species by employing second
order Moller-Plesset perturbation theory (MP2) along with quadruple-zeta
correlation consistent (aug-cc-pVQZ) basis set. Infrared and electronic
absorption spectra of these species are calculated by using the same level of
theory. MP2/aug-cc-pVQZ level of theory is used to report the different
spectroscopic constants of these gas phase species. These spectroscopic
constants are essential to predict rotational transitions of these species. Our
predicted column densities of D2Cl^+, HDCl^+ along with the spectral
information may enable their future identification around outer edges of cold
dark clouds.


title:
Phase-coexistence and glass-like behavior in magnetic and dielectric
  solids with long range order

abstract:
  Phase-coexistence in the manganese-oxide compounds or manganites with
colossal magneto-resistance (CMR) has been generally considered to be an
inhomogeneous ground state. An alternative explanation of phase-coexistence as
the manifestation of a disorder-broadened first order magnetic phase transition
being interrupted by the glasslike arrest of kinetics is now gradually gaining
ground. This kinetic arrest of a first order phase transitions, between two
states with long-range magnetic order, has actually been observed in various
other classes of magnetic materials in addition to the CMR manganites. The
underlying common features of this kinetic arrest of a first order phase
transition are discussed in terms of the phenomenology of glasses. The possible
manifestations of such glass-like arrested states across disorder-influenced
first order phase transitions in dielectric solids and in multiferroic
materials, are also discussed.


title:
Optimum Trade-offs Between the Error Exponent and the Excess-Rate
  Exponent of Variable-Rate Slepian-Wolf Coding

abstract:
  We analyze the optimal trade-off between the error exponent and the
excess-rate exponent for variable-rate Slepian-Wolf codes. In particular, we
first derive upper (converse) bounds on the optimal error and excess-rate
exponents, and then lower (achievable) bounds, via a simple class of
variable-rate codes which assign the same rate to all source blocks of the same
type class. Then, using the exponent bounds, we derive bounds on the optimal
rate functions, namely, the minimal rate assigned to each type class, needed in
order to achieve a given target error exponent. The resulting excess-rate
exponent is then evaluated. Iterative algorithms are provided for the
computation of both bounds on the optimal rate functions and their excess-rate
exponents. The resulting Slepian-Wolf codes bridge between the two extremes of
fixed-rate coding, which has minimal error exponent and maximal excess-rate
exponent, and average-rate coding, which has maximal error exponent and minimal
excess-rate exponent.


title: Invariance of Pontrjagin classes for Bott manifolds

abstract:
  A Bott manifold is the total space of some iterated $\mathbb C P^1$-bundle
over a point. We prove that any graded ring isomorphism between the cohomology
rings of two Bott manifolds preserves their Pontrjagin classes. Moreover, we
prove that such an isomorphism is induced from a diffeomorphism if the Bott
manifolds are $\mathbb Z/2$-trivial, where a Bott manifold is called $\mathbb
Z/2$-trivial if its cohomology ring with $\mathbb Z/2$-coefficient is
isomorphic to that of a product of $\mathbb C P^1$'s.


title:
Multivariate discrete least-squares approximations with a new type of
  collocation grid

abstract:
  In this work, we discuss the problem of approximating a multivariate function
by discrete least squares projection onto a polynomial space using a specially
designed deterministic point set. The independent variables of the function are
assumed to be random variables, stemming from the motivating application of
Uncertainty Quantification (UQ).
  Our deterministic points are inspired by a theorem due to Andr\'e Weil. We
first work with the Chebyshev measure and consider the approximation in
Chebyshev polynomial spaces. We prove the stability and an optimal convergence
estimate, provided the number of points scales quadratically with the dimension
of the polynomial space. A possible application for quantifying
\textit{epistemic} uncertainties is then discussed. We show that the point set
asymptotically equidistributes to the product-Chebyshev measure, allowing us to
propose a weighted least squares framework, and extending our method to more
general polynomial approximations. Numerical examples are given to confirm the
theoretical results. It is shown that the performance of our deterministic
points is similar to that of randomly-generated points. However our
construction, being deterministic, does not suffer from probabilistic
qualifiers on convergence results. (E.g., convergence "with high probability".)


title: Dimension of quantum channel of radiation in pure Lovelock black holes

abstract:
  It is known that the emission rate of entropy from a Schwarzschild black hole
is exactly the same as that of a one dimensional quantum channel \cite{Beken}.
We calculate the dimension of entropy emission from a $D$ dimensional pure
Lovelock black holes. Our results indicate that the dimension of transmission
for odd $D$ dimensional space-times is equal to $D$ and for even $D$
dimensional space-times, the dimension of quantum channel becomes $1+\epsilon
(\Lambda)$, where $ \Lambda $ is cosmological constant. It is interesting that
cosmological constant may put some constraint on dimension of quantum channel
in even dimensional space-times. The effect of Generalized Uncertainty
Principle (GUP) on the dimension of transmission of entropy for a Schwarzschild
black hole is also investigated.


title: Where is quantum theory headed?

abstract:
  Public talk at the EmQM13 conference opening event on "The Future of Quantum
Mechanics"


title: Self Organization and Self Avoiding Limit Cycles

abstract:
  A simple periodically driven system displaying rich behavior is introduced
and studied. The system self-organizes into a mosaic of static ordered regions
with three possible patterns, which are threaded by one-dimensional paths on
which a small number of mobile particles travel. These trajectories are
self-avoiding and non-intersecting, and their relationship to self-avoiding
random walks is explored. Near $\rho=0.5$ the distribution of path lengths
becomes power-law like up to some cutoff length, suggesting a possible critical
state.


title: Feature Selection Using Classifier in High Dimensional Data

abstract:
  Feature selection is frequently used as a pre-processing step to machine
learning. It is a process of choosing a subset of original features so that the
feature space is optimally reduced according to a certain evaluation criterion.
The central objective of this paper is to reduce the dimension of the data by
finding a small set of important features which can give good classification
performance. We have applied filter and wrapper approach with different
classifiers QDA and LDA respectively. A widely-used filter method is used for
bioinformatics data i.e. a univariate criterion separately on each feature,
assuming that there is no interaction between features and then applied
Sequential Feature Selection method. Experimental results show that filter
approach gives better performance in respect of Misclassification Error Rate.


title: Assisted optimal state discrimination without entanglement

abstract:
  A fundamental problem in quantum information is to explore the roles of
different quantum correlations in a quantum information procedure. Recent work
[Phys. Rev. Lett., 107 (2011) 080401] shows that the protocol for assisted
optimal state discrimination (AOSD) may be implemented successfully without
entanglement, but with another correlation, quantum dissonance. However, both
the original work and the extension to discrimination of $d$ states [Phys. Rev.
A, 85 (2012) 022328] have only proved that entanglement can be absent in the
case with equal a \emph{priori} probabilities. By improving the protocol in
[Sci. Rep., 3 (2013) 2134], we investigate this topic in a simple case to
discriminate three nonorthogonal states of a qutrit, with positive real
overlaps. In our procedure, the entanglement between the qutrit and an
auxiliary qubit is found to be completely unnecessary. This result shows that
the quantum dissonance may play as a key role in optimal state discrimination
assisted by a qubit for more general cases.


title: Interpretations and Representations of Classical Tensors

abstract:
  Classical tensors, the familiar mathematical objects denoted by symbols such
as $t_{i}$, $t^{ij}$ and $t_{k}^{ij}$, are usually interpreted either as
'coordinatizable objects' with coordinates changing in a specific way under a
change of coordinate system or as elements of tensor spaces of the form
$V^{\otimes n}\otimes\left(V^{*}\right)^{\otimes m}$. An alternative
interpretation of classical tensors as linear tensor maps of the form
$V^{\otimes m}\rightarrow V^{\otimes n}$ is presented here. In this
interpretation, tensor multiplication is seen as generalized function
composition. Representations of classical tensors by means of arrays are also
considered.


title:
From resolvent estimates to unique continuation for the Schr\"odinger
  equation

abstract:
  In this paper we develop an abstract method to handle the problem of unique
continuation for the Schr\"odinger equation $(i\partial_t+\Delta)u=V(x)u$. In
general the problem is to find a class of potentials $V$ which allows the
unique continuation. The key point of our work is to make a direct link between
the problem and the weighted $L^2$ resolvent estimates
$\|(-\Delta-z)^{-1}f\|_{L^2(|V|)}\leq C\|f\|_{L^2(|V|^{-1})}$. We carry out it
in an abstract way, and thereby we do not need to deal with each of the
potential classes. To do so, we will make use of limiting absorption principle
and Kato $H$-smoothing theorem in spectral theory, and employ some tools from
harmonic analysis. Once the resolvent estimate is set up for a potential class,
from our abstract theory the unique continuation would follow from the same
potential class. Also, it turns out that there can be no dented surface on the
boundary of the maximal open zero set of the solution $u$. In this regard,
another main issue for us is to know which class of potentials allows the
resolvent estimate. We establish such a new class which contains previously
known ones, and will also apply it to the problem of well-posedness for the
equation.


title: Electron-hole pairing in graphene-GaAs heterostructures

abstract:
  Vertical heterostructures combining different layered materials offer novel
opportunities for applications and fundamental studies of collective behavior
driven by inter-layer Coulomb coupling. Here we report heterostructures
comprising a single-layer (or bilayer) graphene carrying a fluid of massless
(massive) chiral carriers, and a quantum well created in GaAs 31.5 nm below the
surface, supporting a high-mobility two-dimensional electron gas. These are a
new class of double-layer devices composed of spatially-separated electron and
hole fluids. We find that the Coulomb drag resistivity significantly increases
for temperatures below 5-10 K, following a logarithmic law. This anomalous
behavior is a signature of the onset of strong inter-layer correlations,
compatible with the formation of a condensate of permanent excitons. The
ability to induce strongly-correlated electron-hole states paves the way for
the realization of coherent circuits with minimal dissipation and nanodevices
including analog-to-digital converters and topologically protected quantum
bits.


title:
Second order statistics characterization of Hawkes processes and
  non-parametric estimation

abstract:
  We show that the jumps correlation matrix of a multivariate Hawkes process is
related to the Hawkes kernel matrix through a system of Wiener-Hopf integral
equations. A Wiener-Hopf argument allows one to prove that this system (in
which the kernel matrix is the unknown) possesses a unique causal solution and
consequently that the second-order properties fully characterize a Hawkes
process. The numerical inversion of this system of integral equations allows us
to propose a fast and efficient method, which main principles were initially
sketched in [Bacry and Muzy, 2013], to perform a non-parametric estimation of
the Hawkes kernel matrix. In this paper, we perform a systematic study of this
non-parametric estimation procedure in the general framework of marked Hawkes
processes. We describe precisely this procedure step by step. We discuss the
estimation error and explain how the values for the main parameters should be
chosen. Various numerical examples are given in order to illustrate the broad
possibilities of this estimation procedure ranging from 1-dimensional
(power-law or non positive kernels) up to 3-dimensional (circular dependence)
processes. A comparison to other non-parametric estimation procedures is made.
Applications to high frequency trading events in financial markets and to
earthquakes occurrence dynamics are finally considered.

categories: stat.ME math.ST physics.geo-ph q-fin.ST q-fin.TR stat.TH


title: A Variation on Selberg's Approximation Problem

abstract:
  Let $\alpha\in\mathbb{C}$ in the upper half-plane and let $I$ be an interval.
We construct an analogue of Selberg's majorant of the characteristic function
of $I$ that vanishes at the point $\alpha$. The construction is based on the
solution to an extremal problem with positivity and interpolation constraints.


title:
Generation of Magnetic Field on the Accretion Disk around a
  Proto-First-Star

abstract:
  The generation process of magnetic field around a proto-first-star is
studied. Utilizing the recent numerical result of proto-first-star formation
based upon the radiation hydrodynamics simulations, we assess the magnetic
field strength generated by the radiative force and the Biermann battery
effect. We find that magnetic field of \sim 10^{-9} G is generated on the
surface of the accretion disk around the proto-first-star. The field strength
on the accretion disk is smaller by two orders of magnitude than the critical
value, above which the gravitational fragmentation of the disk is suppressed.
Thus, the generated seed magnetic field hardly affect the dynamics of on-site
first star formation directly, unless efficient amplification process is taken
into consideration. We also find that the generated magnetic field is
continuously blown out from the disk on the outflows to the poles, that are
driven by the thermal pressure of photoheated gas. The strength of the diffused
magnetic field in low density regions is \sim 10^{-14}-10^{-13}G at n_H=10^3
cm^{-3} which could play important roles on the next generation star formation,
as well as the seeds of magnetic field exist in present-day universe.


title: A Search Procedure for Cyclic Subsets

abstract:
  In this paper, a polynomial time algorithm for finding the set of all cyclic
subsets in a graph is presented. The concept of cyclic subsets has already been
introduced in an earlier paper. The algorithm finds cyclic subsets in a graph G
by conjoining building block subsets of length three in V(G). We prove the
correctness of this algorithm and present an asymptotic time complexity
analysis of the algorithm's performance.


title: Computer Simulations of Charged Colloids in Alternating Electric Fields

abstract:
  We briefly review recent theoretical and simulation studies of charged
colloidal dispersions in alternating electric fields (AC fields). The response
of single colloid to an external field can be characterized by a complex
polarizability, which describes the dielectric properties of the colloid and
its surrounding electrical double layer. We present computer simulation studies
of single spherical colloid, using a coarse-grained mesoscale approach that
accounts in full for hydrodynamic and electrostatic interactions as well as for
thermal fluctuations. We investigate systematically a number of controlling
parameters, such as the amplitude and frequency of the AC-fields. The results
are in good agreement with recent theoretical predictions.


title: Cycle Double Cover Conjecture

abstract:
  In this paper, a proof of the cycle double cover conjecture is presented. The
cycle double cover conjecture purports that if a graph is bridgeless, then
there exists a list of cycles in the graph such that every edge in the graph
appears in the list exactly twice. By applying induction on the number of edges
in a bridgeless graph, I show that when an edge is added to a bridgeless graph,
we can reform the cycle double cover to include that edge. By mathematical
induction, this concludes the general CDC.


title:
Analytic form of head-to-head domain walls in thin ferromagnetic
  cylinders

abstract:
  The one-dimensional problem of a static head-to-head domain wall structure in
a thin soft-magnetic nanowire with circular cross-section is treated within the
framework of micromagnetic theory. A radius-dependent analytic form of the
domain wall profile is derived by decomposing the magnetostatic energy into a
monopolar and a dipolar term. We present a model in which the dipolar term of
the magnetostatic energy resulting from the transverse magnetization in the
center of the domain wall is calculated with Osborn's formulas for
homogeneously magnetized ellipsoids [Phys. Rev. 67, 351 (1945)]. The analytic
results agree almost perfectly with simulation data as long as the wire
diameter is sufficiently small to prevent inhomogeneities of the magnetization
along the cross-section. Owing to the recently demonstrated negligible D\"oring
mass of these walls, our results should also apply to the dynamic case, where
domain walls are driven by spin-transfer toque effects and/or an axial magnetic
field.


title:
A degenerate fourth-order parabolic equation modeling Bose-Einstein
  condensation. Part I: Local existence of solutions

abstract:
  A degenerate fourth-order parabolic equation modeling condensation phenomena
related to Bose-Einstein particles is analyzed. The model is a
Fokker-Planck-type approximation of the Boltzmann-Nordheim equation, only
keeping the leading order term. It maintains some of the main features of the
kinetic model, namely mass and energy conservation and condensation at zero
energy. The existence of a local-in-time nonnegative continuous weak solution
is proven. If the solution is not global, it blows up with respect to the
$L^\infty$ norm in finite time. The proof is based on approximation arguments,
interpolation inequalities in weighted Sobolev spaces, and suitable a priori
estimates for a weighted gradient $L^2$ norm.


title:
A degenerate fourth-order parabolic equation modeling Bose-Einstein
  condensation. Part II: Finite-time blow-up

abstract:
  A degenerate fourth-order parabolic equation modeling condensation phenomena
related to Bose-Einstein particles is analyzed. The model is a
Fokker-Planck-type approximation of the Boltzmann-Nordheim equation, only
keeping the leading order term. It maintains some of the main features of the
kinetic model, namely mass and energy conservation and condensation at zero
energy. The existence of local-in-time weak solutions satisfying a certain
entropy inequality is proven. The main result asserts that if a weighted $L^1$
norm of the initial data is sufficiently large and the initial data satisfies
some integrability conditions, the solution blows up with respect to the
$L^\infty$ norm in finite time. Furthermore, the set of all such blow-up
enforcing initial functions is shown to be dense in the set of all admissible
initial data. The proofs are based on approximation arguments and interpolation
inequalities in weighted Sobolev spaces. By exploiting the entropy inequality,
a nonlinear integral inequality is proved which implies the finite-time blow-up
property.


title: Rational approximations and quantum algorithms with postselection

abstract:
  We study the close connection between rational functions that approximate a
given Boolean function, and quantum algorithms that compute the same function
using postselection. We show that the minimal degree of the former equals (up
to a factor of 2) the minimal query complexity of the latter. We give optimal
(up to constant factors) quantum algorithms with postselection for the Majority
function, slightly improving upon an earlier algorithm of Aaronson. Finally we
show how Newman's classic theorem about low-degree rational approximation of
the absolute-value function follows from these algorithms.


title: Image of the braid groups inside the finite Iwahori-Hecke algebras

abstract:
  We determine the image of the braid groups inside the Iwahori-Hecke algebras
of type A, when defined over a finite field, in the semisimple case, and for
suitably large (but controlable) order of the defining (quantum) parameter.


title: The front of the epidemic spread and first passage percolation

abstract:
  In this paper we establish a connection between epidemic models on random
networks with general infection times considered in Barbour and Reinert 2013
and first passage percolation. Using techniques developed in Bhamidi, van der
Hofstad, Hooghiemstra 2012, when each vertex has infinite contagious periods,
we extend results on the epidemic curve in Barbour Reinert 2013 from bounded
degree graphs to general sparse random graphs with degrees having finite third
moments as the number of vertices tends to infinity. We also study the epidemic
trail between the source and typical vertices in the graph. This connection to
first passage percolation can be also be used to study epidemic models with
general contagious periods as in Barbour Reinert 2013 without bounded degree
assumptions.


title:
Le compl\'ementaire des puissances $n$-i\`emes dans un corps de nombres
  est un ensemble diophantien

abstract:
  Given a number field $k$ and a positive integer $n$, there exists an
algebraic variety $X$ over $k$ and a function $f$ on $X$ whose set of values
$f(X(k))$ on the set of $k$-points of $X$ is the complement in $k$ of the set
of $n$-th powers. This result had been proved by B. Poonen (2009) for $n$ a
power of $2$. For $n$ arbitrary, under Schinzel's hypothesis, it has been given
a conditional proof by T. V\'arilly-Alvarado and B. Viray (2012). Instead of
Schinzel's hypothesis, we use "Salberger's trick", as developed in papers of
Skorobogatov, Swinnerton-Dyer and one of the authors.


title: Soft X-ray emission in kink-unstable coronal loops

abstract:
  Solar flares are associated with intense soft X-ray emission generated by the
hot flaring plasma. Kink unstable twisted flux-ropes provide a source of
magnetic energy which can be released impulsively and account for the flare
plasma heating. We compute the temporal evolution of the thermal X-ray emission
in kink-unstable coronal loops using MHD simulations and discuss the results of
with respect to solar flare observations. The model consists of a highly
twisted loop embedded in a region of uniform and untwisted coronal magnetic
field. We let the kink instability develop, compute the evolution of the plasma
properties in the loop (density, temperature) without accounting for mass
exchange with the chromosphere. We then deduce the X-ray emission properties of
the plasma during the whole flaring episode. During the initial phase of the
instability plasma heating is mostly adiabatic. Ohmic diffusion takes over as
the instability saturates, leading to strong and impulsive heating (> 20 MK),
to a quick enhancement of X-ray emission and to the hardening of the thermal
X-ray spectrum. The temperature distribution of the plasma becomes broad, with
the emission measure depending strongly on temperature. Significant emission
measures arise for plasma at temperatures T > 9 MK. The magnetic flux-rope then
relaxes progressively towards a lower energy state as it reconnects with the
background flux. The loop plasma suffers smaller sporadic heating events but
cools down conductively. The total thermal X-ray emission slowly fades away
during this phase, and the high temperature component of emission measure
distribution converges to the power-law distribution $EM\propto T^{-4.2}$. The
amount of twist deduced directly from the X-ray emission patterns is
considerably lower than the maximum magnetic twist in the simulated flux-ropes.


title: Subdiffusive concentration in first-passage percolation

abstract:
  We prove exponential concentration in i.i.d. first-passage percolation in
$Z^d$ for all $d \geq 2$ and general edge-weights $(t_e)$. Precisely, under an
exponential moment assumption $E e^{\alpha t_e}< \infty$ for some $\alpha>0$)
on the edge-weight distribution, we prove the inequality $$ P(|T(0,x)-E T(0,x)|
\geq \lambda \sqrt{\frac{|x|}{log |x|}}) \leq ce^{-c' \lambda}, |x|>1 $$ for
the point-to-point passage time $T(0,x)$. Under a weaker assumption $E
t_e^2(\log t_e)_+< \infty$ we show a corresponding inequality for the
lower-tail of the distribution of $T(0,x)$. These results extend work of
Benaim-Rossignol to general distributions.


title: Nonlinear q-voter model with deadlocks on the Watts-Strogatz graph

abstract:
  We study the nonlinear $q$-voter model with deadlocks on a Watts-Strogats
graph. Using Monte Carlo simulations, we obtain so called exit probability and
exit time. We determine how network properties, such as randomness or density
of links influence exit properties of a model.


title: Five dimensional formulation of a DSR

abstract:
  In this paper, we analyze a possible formalization of the deformed special
relativity as a five-dimensional theory. This is not the first attempt to do
so, but we feel that either these previous treatments are too arbitrary in the
choice of the new enlarged space, or they lack a satisfactory physical
interpretation. In this work, we propose an algorithm which fixes the shape of
the enlarged space. Afterwards, we focus our attention on the consequences of
our formalism, proposing a physical interpretation.


title:
A posteriori error estimator for adaptive local basis functions to solve
  Kohn-Sham density functional theory

abstract:
  Kohn-Sham density functional theory is one of the most widely used electronic
structure theories. The recently developed adaptive local basis functions form
an accurate and systematically improvable basis set for solving Kohn-Sham
density functional theory using discontinuous Galerkin methods, requiring a
small number of basis functions per atom. In this paper we develop
residual-based a posteriori error estimates for the adaptive local basis
approach, which can be used to guide non-uniform basis refinement for highly
inhomogeneous systems such as surfaces and large molecules. The adaptive local
basis functions are non-polynomial basis functions, and standard a posteriori
error estimates for $hp$-refinement using polynomial basis functions do not
directly apply. We generalize the error estimates for $hp$-refinement to
non-polynomial basis functions. We demonstrate the practical use of the a
posteriori error estimator in performing three-dimensional Kohn-Sham density
functional theory calculations for quasi-2D aluminum surfaces and a
single-layer graphene oxide system in water.


title: Maintaining partial sums in logarithmic time

abstract:
  We present a data structure that allows to maintain in logarithmic time all
partial sums of elements of a linear array during incremental changes of
element's values.


title:
A survey on the importance of visualization and social collaboration in
  academic digital libraries

abstract:
  From more than half a century ago indexing scientific articles has been
studied intensively to provide a more efficient data retrieval and to conserve
researchers invaluable time. In the last two decades with the emergence of the
World Wide Web and the rapid growth in the number of scientific documents
online many academic databases and search engines were launched with almost
similar structure in order to reduce the difficulty in finding, relating and
sorting of the existing scientific documents published online. The dramatic
increase of the scientific documents in the last few years makes it necessary
that the retrieved information by the search engines be analyzed and more
organized and interpretable representation be displayed to the users.
Information visualization is a great way for exploration of large and complex
data sets, therefore it can be a natural candidate for the purpose of
generating more comprehensible search results for the citation and academic
databases. In this survey the usage pattern of the participants and their
demands and ideas for the existence of other beneficial methods for literature
review has been questioned and the results are quantitatively analyzed.


title:
Heavy Quarkonium Production at Collider Energies: Factorization and
  Evolution

abstract:
  We present a factorization formalism for inclusive production of heavy
quarkonia of large transverse momentum, $p_T$ at collider energies, including
both leading power (LP) and next-to-leading power (NLP) behavior in $p_T$. We
demonstrate that both LP and NLP contributions can be factorized in terms of
perturbatively calculable short-distance partonic coefficient functions and
universal non-perturbative fragmentation functions, and derive the evolution
equations that are implied by the factorization. We identify projection
operators for all channels of the factorized LP and NLP infrared safe
short-distance partonic hard parts, and corresponding operator definitions of
fragmentation functions. For the NLP, we focus on the contributions involving
the production of a heavy quark pair, a necessary condition for producing a
heavy quarkonium. We evaluate the first non-trivial order of evolution kernels
for all relevant fragmentation functions, and discuss the role of NLP
contributions.


title: Optical Rogue Waves in Whispering-Gallery-Mode Resonators

abstract:
  We report a theoretical study showing that rogue waves can emerge in
whispering gallery mode resonators as the result of the chaotic interplay
between Kerr nonlinearity and anomalous group-velocity dispersion. The
nonlinear dynamics of the propagation of light in a whispering gallery-mode
resonator is investigated using the Lugiato-Lefever equation, and we evidence a
range of parameters where rare and extreme events associated with a
non-gaussian statistics of the field maxima are observed.


title:
Importance of nuclear triaxiality for electromagnetic strength, level
  density and neutron capture cross sections in heavy nuclei

abstract:
  Cross sections for neutron capture in the range of unresolved resonances are
predicted simultaneously to level distances at the neutron threshold for more
than 100 spin-0 target nuclei with A >70. Assuming triaxiality in nearly all
these nuclei a combined parameterization for both, level density and photon
strength is presented. The strength functions used are based on a global fit to
IVGDR shapes by the sum of three Lorentzians adding up to the TRK sum rule and
theory-based predictions for the A-dependence of pole energies and spreading
widths. For the small spins reached by capture level densities are well
described by only one free global parameter; a significant collective
enhancement due to the deviation from axial symmetry is observed. Reliable
predictions for compound nuclear reactions also outside the valley of stability
as expected from the derived global parameterization are important for nuclear
astrophysics and for the transmutation of nuclear waste.


title:
A Class of LTI Distributed Observers for LTI Plants: Necessary and
  Sufficient Conditions for Stabilizability

abstract:
  Consider that an autonomous linear time-invariant (LTI) plant is given and
that a network of LTI observers assesses its output vector. The dissemination
of information within the network is dictated by a pre-specified directed graph
in which each vertex represents an observer. Each observer computes its own
state estimate using only the portion of the output vector accessible to it and
the state estimates of other observers that are transmitted to it by its
neighbors, according to the graph. This paper proposes an update rule that is a
natural generalization of consensus, and for which we determine necessary and
sufficient conditions for the existence of parameters for the update rule that
lead to asymptotic omniscience of the state of the plant at all observers. The
conditions reduce to certain detectability requirements that imply that if
omniscience is not possible under the proposed scheme then it is not viable
under any other scheme that is subject to the same communication graph,
including nonlinear and time-varying ones.


title: Routes to spatiotemporal chaos in Kerr optical frequency combs

abstract:
  We investigate the various routes to spatiotemporal chaos in Kerr optical
frequency combs obtained through pumping an ultra-high quality
whispering-gallery mode resonator with a continuous-wave laser. The
Lugiato-Lefever model is used to build bifurcation diagrams with regards to the
parameters that are externally controllable, namely, the frequency and the
power of the pumping laser. We show that the spatiotemporal chaos emerging from
Turing patterns and solitons display distinctive dynamical features.
Experimental spectra of chaotic Kerr combs are also presented for both cases,
in excellent agreement with theoretical spectra.


title: Double-Diffusive Convection

abstract:
  Much progress has recently been made in understanding and quantifying
vertical mixing induced by double-diffusive instabilities such as fingering
convection (usually called thermohaline convection) and oscillatory
double-diffusive convection (a process closely related to semiconvection). This
was prompted in parts by advances in supercomputing, which allow us to run
Direct Numerical Simulations of these processes at parameter values approaching
those relevant in stellar interiors, and in parts by recent theoretical
developments in oceanography where such instabilities also occur. In this paper
I summarize these recent findings, and propose new mixing parametrizations for
both processes that can easily be implemented in stellar evolution codes.


title: Directed Metric Dimension of Oriented Graphs with Cyclic Covering

abstract:
  Let $D$ be a strongly connected oriented graph with vertex-set $V$ and
arc-set $A$. The distance from a vertex $u$ to another vertex $v$, $d(u,v)$ is
the minimum length of oriented paths from $u$ to $v$. Suppose
$B=\{b_1,b_2,b_3,...b_k\}$ is a nonempty ordered subset of $V$. The
representation of a vertex $v$ with respect to $B$, $r(v|B)$, is defined as a
vector $(d(v,b_1), d(v,b_2), ..., d(v,b_k))$. If any two distinct vertices
$u,v$ satisfy $r(u|B)\neq r(v|B)$, then $B$ is said to be a resolving set of
$D$. If the cardinality of $B$ is minimum then $B$ is said to be a basis of $D$
and the cardinality of $B$ is called the directed metric dimension of $D$.
  Let $G$ be the underlying graph of $D$ admitting a $C_n$-covering. A
$C_n$-simple orientation is an orientation on $G$ such that every $C_n$ in $D$
is strongly connected. This paper deals with metric dimensions of oriented
wheels, oriented fans, and amalgamation of oriented cycles, all of which
admitting $C_n$-simple orientations.


title: On phase-locking of Kerr combs

abstract:
  We theoretically investigate the phase-locking phenomena between the spectral
components of Kerr optical frequency combs in the dynamical regime of Turing
patterns. We show that these Turing patterns display a particularly strong and
robust phase-locking, originating from a cascade of phase-locked triplets which
asymptotically lead to a global phase-locking between the modes. The local and
global phase-locking relationship defining the shape of the optical pulses are
analytically determined. Our analysis also shows that solitons display a much
weaker phase-locking which can be destroyed more easily than in the Turing
pattern regime. Our results indicate that Turing patterns are generally the
most suitable for applications requiring the highest stability. Experimental
generation of such combs is also discussed in detail, in excellent agreement
with the numerical simulations.


title:
Hamiltonian constraint in Euclidean LQG revisited: First hints of
  off-shell Closure

abstract:
  We initiate the hunt for a definition of Hamiltonian constraint in Euclidean
Loop Quantum Gravity (LQG) which faithfully represents quantum Dirac algebra.
Borrowing key ideas from previous works on Hamiltonian constraint in LQG and
several toy models, we present some evidence that there exists such a continuum
Hamiltonian constraint operator which is well defined on a suitable
generalization of the Lewandowski-Marolf Habitat and is anomaly free off-shell.


title: Spin-down dynamics of magnetized solar-type stars

abstract:
  It has long been known that solar-type stars undergo significant spin-down,
via magnetic braking, during their Main-Sequence lifetimes. However, magnetic
braking only operates on the surface layers; it is not yet completely
understood how angular momentum is transported within the star, and how rapidly
the spin-down information is communicated to the deep interior. In this work,
we use insight from recent progress in understanding internal solar dynamics to
model the interior of other solar-type stars. We assume, following Gough and
McIntyre (1998), that the bulk of the radiation zone of these stars is held in
uniform rotation by the presence of an embedded large-scale primordial field,
confined below a stably-stratified, magnetic-free tachocline by large-scale
meridional flows downwelling from the convection zone. We derive simple
equations to describe the response of this model interior to spin-down of the
surface layers, that are identical to the two-zone model of MacGregor and
Brenner (1991), with a coupling timescale proportional to the local
Eddington-Sweet timescale across the tachocline. This timescale depends both on
the rotation rate of the star and on the thickness of the tachocline, and can
vary from a few hundred thousand years to a few Gyr, depending on stellar
properties. Qualitative predictions of the model appear to be consistent with
observations, although depend sensitively on the assumed functional dependence
of the tachocline thickness on the stellar rotation rate.


title: On the degree distribution of a growing network model

abstract:
  In this note we make some specific observations on the distribution of the
degree of a given vertex in certain model of randomly growing networks. The
rule for network growth is the following. Starting with an initial graph of
minimum degree at least $k$, new vertices are added one by one. Each new vertex
$v$ first chooses a random vertex $w$ to join to, where the probability of
choosing $w$ is proportional to its degree. Then $k$ edges are added from $v$
to randomly chosen neighbours of $w$.


title: Novel Phenomenology of Parton Distributions from the Drell-Yan Process

abstract:
  The Drell-Yan massive lepton-pair production in hadronic collisions provides
a unique tool complementary to the Deep-Inelastic Scattering for probing the
partonic substructures in hadrons. We review key concepts, approximations, and
progress for QCD factorization of the Drell-Yan process in terms of collinear
or transverse momentum dependent (TMD) parton distribution functions. We
present experimental results from recent fixed-target Drell-Yan as well as $W$
and $Z$ boson production at colliders, focussing on the topics of flavor
structure of the nucleon sea as well as the extraction of novel Sivers and
Boer-Mulders functions via single transverse spin asymmetries and azimuthal
lepton angular distribution of the Drell-Yan process. Prospects for future
Drell-Yan experiments are also presented.


title: What if $\lambda_{hhh}\neq 3m_h^2/v$

abstract:
  A measurement of the Higgs trilinear self coupling $\lambda_{hhh}$ will test
the Standard Model Higgs potential. But can it reveal information that cannot
be learned otherwise? By analyzing several simple extensions of the Standard
Model scalar sector we show that this measurement might give a first hint for
New Physics modifying the electroweak symmetry breaking. Combining the
measurements of $\lambda_{hhh}$ and $\lambda_{hVV}$ ($V=W,Z$) is particularly
powerful in distinguishing between various models of New Physics and in
providing unique information on these models.


title: Linear time construction of compressed text indices in compact space

abstract:
  We show that the compressed suffix array and the compressed suffix tree for a
string of length $n$ over an integer alphabet of size $\sigma\leq n$ can both
be built in $O(n)$ (randomized) time using only $O(n\log\sigma)$ bits of
working space. The previously fastest construction algorithms that used
$O(n\log\sigma)$ bits of space took times $O(n\log\log\sigma)$ and
$O(n\log^{\epsilon}n)$ respectively (where $\epsilon$ is any positive constant
smaller than $1$). In the passing, we show that the Burrows-Wheeler transform
of a string of length $n$ over an alphabet of size $\sigma$ can be built in
deterministic $O(n)$ time and space $O(n\log\sigma)$. We also show that within
the same time and space, we can carry many sequence analysis tasks and
construct some variants of the compressed suffix array and compressed suffix
tree.


title:
$S_3$ discrete group as a source of the quark mass and mixing pattern in
  $331$ models

abstract:
  We propose a model based on the $SU(3)_{C}\otimes SU(3)_{L}\otimes U(1)_{X}$
gauge symmetry with an extra $S_{3}\otimes Z_{2}\otimes Z_{4}\otimes Z_{12}$
discrete group, which successfully accounts for the SM quark mass and mixing
pattern. The observed hierarchy of the SM quark masses and quark mixing matrix
elements arises from the $Z_{4}$ and $Z_{12}$ symmetries, which are broken at
very high scale by the $SU(3)_{L}$ scalar singlets ($\sigma$,$\zeta$) and $\tau
$, charged under these symmetries, respectively. The Cabbibo mixing arises from
the down type quark sector whereas the up quark sector generates the remaining
quark mixing angles. The obtained magnitudes of the CKM matrix elements, the CP
violating phase and the Jarlskog invariant are in agreement with the
experimental data.


title: A Corbino disk viscometer for 2D quantum electron liquids

abstract:
  The shear viscosity of a variety of strongly interacting quantum fluids,
ranging from ultracold atomic Fermi gases to quark-gluon plasmas, can be
accurately measured. On the contrary, no experimental data exist, to the best
of our knowledge, on the shear viscosity of two-dimensional quantum electron
liquids hosted in a solid-state matrix. In this Letter we propose a Corbino
disk device, which allows a determination of the viscosity of a quantum
electron liquid from the dc potential difference that arises between the inner
and the outer edge of the disk in response to an oscillating magnetic flux.


title:
The NINJA-2 project: Detecting and characterizing gravitational
  waveforms modelled using numerical binary black hole simulations

abstract:
  The Numerical INJection Analysis (NINJA) project is a collaborative effort
between members of the numerical relativity and gravitational-wave astrophysics
communities. The purpose of NINJA is to study the ability to detect
gravitational waves emitted from merging binary black holes and recover their
parameters with next-generation gravitational-wave observatories. We report
here on the results of the second NINJA project, NINJA-2, which employs 60
complete binary black hole hybrid waveforms consisting of a numerical portion
modelling the late inspiral, merger, and ringdown stitched to a post-Newtonian
portion modelling the early inspiral. In a "blind injection challenge" similar
to that conducted in recent LIGO and Virgo science runs, we added 7 hybrid
waveforms to two months of data recolored to predictions of Advanced LIGO and
Advanced Virgo sensitivity curves during their first observing runs. The
resulting data was analyzed by gravitational-wave detection algorithms and 6 of
the waveforms were recovered with false alarm rates smaller than 1 in a
thousand years. Parameter estimation algorithms were run on each of these
waveforms to explore the ability to constrain the masses, component angular
momenta and sky position of these waveforms. We also perform a large-scale
monte-carlo study to assess the ability to recover each of the 60 hybrid
waveforms with early Advanced LIGO and Advanced Virgo sensitivity curves. Our
results predict that early Advanced LIGO and Advanced Virgo will have a
volume-weighted average sensitive distance of 300Mpc (1Gpc) for
$10M_{\odot}+10M_{\odot}$ ($50M_{\odot}+50M_{\odot}$) binary black hole
coalescences. We demonstrate that neglecting the component angular momenta in
the waveform models used in matched-filtering will result in a reduction in
sensitivity for systems with large component angular momenta. [Abstract
abridged for ArXiv, full version in PDF]