title: $E$-restricted double traces

abstract:
  For a graph $G$ and $E \subseteq E(G)$, $E$-restricted strong trace is a
closed walk which traverses every edge from $E$ once in each direction and
every other edge twice in the same direction. In addition, every time a strong
trace come to a vertex $v$ from $N \subseteq N(v)$ it continues to $u \notin
N$, for $1 \leq |N| < d(v)$. We characterize graphs admitting $E$-restricted
strong traces and explain how this result can be used as an upgrade of
mathematical model for self-assembling nanostructure design first presented by
Gradi\v{s}ar et al. in [Design of a single-chain polypeptide tetrahedron
assembled from coiled-coil segments, Nature Chemical Biology 9 (2013)
362--366].


title: Chinese Poetry Generation with Planning based Neural Network

abstract:
  Chinese poetry generation is a very challenging task in natural language
processing. In this paper, we propose a novel two-stage poetry generating
method which first plans the sub-topics of the poem according to the user's
writing intent, and then generates each line of the poem sequentially, using a
modified recurrent neural network encoder-decoder framework. The proposed
planning-based method can ensure that the generated poem is coherent and
semantically consistent with the user's intent. A comprehensive evaluation with
human judgments demonstrates that our proposed approach outperforms the
state-of-the-art poetry generating methods and the poem quality is somehow
comparable to human poets.


title:
The Role of Host Galaxy for the Environmental Dependence of Active
  Nuclei in Local Galaxies

abstract:
  We discuss the environment of local hard X-ray selected active galaxies, with
reference to two independent group catalogues. We find that the fraction of
these AGN in S0 host galaxies decreases strongly as a function of galaxy group
size (halo mass) - which contrasts with the increasing fraction of galaxies of
S0 type in denser environments. However, there is no evidence for an
environmental dependence of AGN in spiral galaxies. Because most AGN are found
in spiral galaxies, this dilutes the signature of environmental dependence for
the population as a whole. We argue that the differing results for AGN in
disk-dominated and bulge-dominated galaxies is related to the source of the gas
fuelling the AGN, and so may also impact the luminosity function, duty cycle,
and obscuration. We find that there is a significant difference in the
luminosity function for AGN in spiral and S0 galaxies, and tentative evidence
for some difference in the fraction of obscured AGN.


title:
Quantitative bounds versus existence of weakly coupled bound states for
  Schr\"odinger type operators

abstract:
  It is well-known that for usual Schroedinger operators weakly coupled bound
states exist in dimensions one and two, whereas in higher dimensions the famous
Cwikel-Lieb-Rozenblum bound holds. We show for a large class of
Schr\"odinger-type operators with general kinetic energies that these two
phenomena are complementary. In particular, we explicitly get a natural
semi-classical type bound on the number of bound states precisely in the
situation when weakly coupled bound states exist not.


title:
Extended Theories of Gravity in cosmological and astrophysical
  applications

abstract:
  The main subjects of the PhD dissertation concern cosmological models
considered in Palatini f(R) gravity and scalar-tensor theories. We introduce a
simple generalization of the LCDM model based on Palatini modified gravity with
quadratic Starobinsky term. A matter source is provided by generalized
Chaplygin gas. The statistical analysis of our model is investigated. We use
dynamical system approach to study the evolution of the Universe. The model
reaches a very good agreement with the newest experimental data and yields an
inflationary epoch caused by a singularity of the type III. The present-day
accelerated expansion is also provided by the model. We also show that the Lie
and Noether symmetry approaches are very useful tools in cosmological
considerations. We examine two other models of Extended Theories of Gravity
(ETGs): the novel hybrid metric-Palatini gravity and a minimally coupled to
gravity scalar field. The first one is applied to homogeneous and isotropic
model while in the scalar-tensor theory we study anisotropic universes. We use
the symmetries in order to find unknown forms of potential and to solve
classical field equations in both models. The symmetries also are very helpful
in searching exact and invariant solutions of Wheeler-DeWitt equations. In the
last part we are interested in equilibrium configurations and stability
conditions of relativistic stars in the framework of scalar-tensor theories.
Firstly, we show that TOV-like form of the equilibrium equations can be
obtained for a wide class of ETGs if generalized energy density and pressure
are defined. According to our studies, a neutron star is a stable system for
the minimally coupled scalar field model. There is a supplement including notes
on symmetries as well as dynamical systems approach. The illustrative examples
of applications are also provided.


title: LightRNN: Memory and Computation-Efficient Recurrent Neural Networks

abstract:
  Recurrent neural networks (RNNs) have achieved state-of-the-art performances
in many natural language processing tasks, such as language modeling and
machine translation. However, when the vocabulary is large, the RNN model will
become very big (e.g., possibly beyond the memory capacity of a GPU device) and
its training will become very inefficient. In this work, we propose a novel
technique to tackle this challenge. The key idea is to use 2-Component (2C)
shared embedding for word representations. We allocate every word in the
vocabulary into a table, each row of which is associated with a vector, and
each column associated with another vector. Depending on its position in the
table, a word is jointly represented by two components: a row vector and a
column vector. Since the words in the same row share the row vector and the
words in the same column share the column vector, we only need $2 \sqrt{|V|}$
vectors to represent a vocabulary of $|V|$ unique words, which are far less
than the $|V|$ vectors required by existing approaches. Based on the
2-Component shared embedding, we design a new RNN algorithm and evaluate it
using the language modeling task on several benchmark datasets. The results
show that our algorithm significantly reduces the model size and speeds up the
training process, without sacrifice of accuracy (it achieves similar, if not
better, perplexity as compared to state-of-the-art language models).
Remarkably, on the One-Billion-Word benchmark Dataset, our algorithm achieves
comparable perplexity to previous language models, whilst reducing the model
size by a factor of 40-100, and speeding up the training process by a factor of
2. We name our proposed algorithm \emph{LightRNN} to reflect its very small
model size and very high training speed.


title: Mining Social Media for Open Innovation in Transportation Systems

abstract:
  This work proposes a novel framework for the development of new products and
services in transportation through an open innovation approach based on
automatic content analysis of social media data. The framework is able to
extract users comments from Online Social Networks (OSN), to process and
analyze text through information extraction and sentiment analysis techniques
to obtain relevant information about product reception on the market. A use
case was developed using the mobile application Uber, which is today one of the
fastest growing technology companies in the world. We measured how a
controversial, highly diffused event influences the volume of tweets about Uber
and the perception of its users. While there is no change in the image of Uber,
a large increase in the number of tweets mentioning the company is observed,
which meant a free and important diffusion of its product.


title: Minimal $\cal N=4$ topologically massive supergravity

abstract:
  Using the superconformal framework, we construct a new off-shell model for
$\cal N=4$ topologically massive supergravity which is minimal in the sense
that it makes use of a single compensating vector multiplet and involves no
free parameter. As such, it provides a counterexample to the common lore that
two compensating multiplets are required within the conformal approach to
supergravity with eight supercharges in diverse dimensions. This theory is an
off-shell $\cal N=4$ supersymmetric extension of chiral gravity. All of its
solutions correspond to non-conformally flat superspaces. Its maximally
supersymmetric solutions include the so-called critical (4,0) anti-de Sitter
superspace introduced in arXiv:1205.4622, and well as warped critical (4,0)
anti-de Sitter superspaces. We also propose a dual formulation for the theory
in which the vector multiplet is replaced with an off-shell hypermultiplet.
Upon elimination of the auxiliary fields belonging to the hypermultiplet and
imposing certain gauge conditions, the dual action reduces to the one
introduced in arXiv:1605.00103.


title:
Quantum hyperentanglement and its applications in quantum information
  processing

abstract:
  Hyperentanglement is a promising resource in quantum information processing
with its high capacity character, defined as the entanglement in multiple
degrees of freedom (DOFs) of a quantum system, such as polarization,
spatial-mode, orbit-angular-momentum, time-bin and frequency DOFs of photons.
Recently, hyperentanglement attracts much attention as all the multiple DOFs
can be used to carry information in quantum information processing fully. In
this review, we present an overview of the progress achieved so far in the
field of hyperentanglement in photon systems and some of its important
applications in quantum information processing, including hyperentanglement
generation, complete hyperentangled-Bell-state analysis, hyperentanglement
concentration, and hyperentanglement purification for high-capacity
long-distance quantum communication. Also, a scheme for hyper-controlled-not
gate is introduced for hyperparallel photonic quantum computation, which can
perform two controlled-not gate operations on both the polarization and
spatial-mode DOFs and depress the resources consumed and the photonic
dissipation.


title: Chromospheric diagnosis with forward scattering polarization

abstract:
  Is it physically feasible to perform chromospheric diagnosis using spatial
maps of scattering polarization at the solar disk center? To investigate it we
synthesized polarization maps (in 8542 Angstroms) resulting from MHD solar
models and NLTE radiative transfer calculations that consider Hanle effect and
vertical macroscopic motions. After explaining the physical con- text of
forward scattering and presenting our results, we arrive at the definition of
Hanle polarity inversion lines. We show how such features can give support for
a clearer chromospheric diagnosis in which the magnetic and dynamic effects in
the scattering polarization could be disentangled.


title: $G$-Invariant Deformations of Almost-Coupling Poisson Structures

abstract:
  On a foliated manifold equipped with an action of a compact Lie group $G$, we
study a class of almost-coupling Poisson and Dirac structures, in the context
of deformation theory and the method of averaging.


title:
Impact of phonons on dephasing of individual excitons in deterministic
  quantum dot microlenses

abstract:
  Optimized light-matter coupling in semiconductor nanostructures is a key to
understand their optical properties and can be enabled by advanced fabrication
techniques. Using in-situ electron beam lithography combined with a
low-temperature cathodoluminescence imaging, we deterministically fabricate
microlenses above selected InAs quantum dots (QDs) achieving their efficient
coupling to the external light field. This enables to perform four-wave mixing
micro-spectroscopy of single QD excitons, revealing the exciton population and
coherence dynamics. We infer the temperature dependence of the dephasing in
order to address the impact of phonons on the decoherence of confined excitons.
The loss of the coherence over the first picoseconds is associated with the
emission of a phonon wave packet, also governing the phonon background in
photoluminescence (PL) spectra. Using theory based on the independent boson
model, we consistently explain the initial coherence decay, the zero-phonon
line fraction, and the lineshape of the phonon-assisted PL using realistic
quantum dot geometries.


title: Inference Compilation and Universal Probabilistic Programming

abstract:
  We introduce a method for using deep neural networks to amortize the cost of
inference in models from the family induced by universal probabilistic
programming languages, establishing a framework that combines the strengths of
probabilistic programming and deep learning methods. We call what we do
"compilation of inference" because our method transforms a denotational
specification of an inference problem in the form of a probabilistic program
written in a universal programming language into a trained neural network
denoted in a neural network specification language. When at test time this
neural network is fed observational data and executed, it performs approximate
inference in the original model specified by the probabilistic program. Our
training objective and learning procedure are designed to allow the trained
neural network to be used as a proposal distribution in a sequential importance
sampling inference engine. We illustrate our method on mixture models and
Captcha solving and show significant speedups in the efficiency of inference.


title: Non-peripheral ideal decompositions of alternating knots

abstract:
  An ideal triangulation $\mathcal{T}$ of a hyperbolic 3-manifold $M$ with one
cusp is non-peripheral if no edge of $\mathcal{T}$ is homotopic to a curve in
the boundary torus of $M$. For such a triangulation, the gluing and
completeness equations can be solved to recover the hyperbolic structure of
$M$. A planar projection of a knot gives four ideal cell decompositions of its
complement (minus 2 balls), two of which are ideal triangulations that use 4
(resp., 5) ideal tetrahedra per crossing. Our main result is that these ideal
triangulations are non-peripheral for all planar, reduced, alternating
projections of hyperbolic knots. Our proof uses the small cancellation
properties of the Dehn presentation of alternating knot groups, and an explicit
solution to their word and conjugacy problems. In particular, we describe a
planar complex that encodes all geodesic words that represent elements of the
peripheral subgroup of an alternating knot group. This gives a polynomial time
algorithm for checking if an element in an alternating knot group is
peripheral. Our motivation for this work comes from the Volume Conjecture for
knots.


title:
A Quadratic Manifold for Model Order Reduction of Nonlinear Structural
  Dynamics

abstract:
  This paper describes the use of a quadratic manifold for the model order
reduction of structural dynamics problems featuring geometric nonlinearities.
The manifold is tangent to a subspace spanned by the most relevant vibration
modes, and its curvature is provided by modal derivatives obtained by
sensitivity analysis of the eigenvalue problem, or its static approximation,
along the vibration modes. The construction of the quadratic manifold requires
minimal computational effort once the vibration modes are known. The reduced
order model is then obtained by Galerkin projection, where the
configuration-dependent tangent space of the manifold is used to project the
discretized equations of motion.


title:
Learning Runtime Parameters in Computer Systems with Delayed Experience
  Injection

abstract:
  Learning effective configurations in computer systems without hand-crafting
models for every parameter is a long-standing problem. This paper investigates
the use of deep reinforcement learning for runtime parameters of cloud
databases under latency constraints. Cloud services serve up to thousands of
concurrent requests per second and can adjust critical parameters by leveraging
performance metrics. In this work, we use continuous deep reinforcement
learning to learn optimal cache expirations for HTTP caching in content
delivery networks. To this end, we introduce a technique for asynchronous
experience management called delayed experience injection, which facilitates
delayed reward and next-state computation in concurrent environments where
measurements are not immediately available. Evaluation results show that our
approach based on normalized advantage functions and asynchronous CPU-only
training outperforms a statistical estimator.


title: Mean Field Game of Controls and An Application To Trade Crowding

abstract:
  In this paper we formulate the now classical problem of optimal liquidation
(or optimal trading) inside a Mean Field Game (MFG). This is a noticeable
change since usually mathematical frameworks focus on one large trader in front
of a "background noise" (or "mean field"). In standard frameworks, the
interactions between the large trader and the price are a temporary and a
permanent market impact terms, the latter influencing the public price. In this
paper the trader faces the uncertainty of fair price changes too but not only.
He has to deal with price changes generated by other similar market
participants, impacting the prices permanently too, and acting strategically.
Our MFG formulation of this problem belongs to the class of "extended MFG", we
hence provide generic results to address these "MFG of controls", before
solving the one generated by the cost function of optimal trading. We provide a
closed form formula of its solution, and address the case of "heterogenous
preferences" (when each participant has a different risk aversion). Last but
not least we give conditions under which participants do not need to
instantaneously know the state of the whole system, but can "learn" it day
after day, observing others' behaviors.


title:
Test of a hypothesis of realism in quantum theory using a bayesian
  approach

abstract:
  In this paper we propose a time-independent \textit{equality} and
time-dependent \textit{inequality}, suitable for an experimental test of the
hypothesis of realism. The derivation of these relations is based on the
concept of conditional probability and on Bayes' theorem in the framework of
Kolmogorov's axiomatics of probability theory. The equality obtained is
intrinsically different from the well known GHZ-equality and its variants,
because violation of the new equality might be tested in experiments with only
two microsystems in a maximally entangled Bell state $\big\vert\,
\Psi^-\,\big\rangle$, while a test of the GHZ-equality requires at least three
quantum systems in a special state $\big\vert\,
\Psi^{\textrm{GHZ}}\,\big\rangle$. The obtained inequality differs from Bell's,
Wigner's, and Leggett-Garg inequalities, because it deals with spin $s=1/2$
projections onto only two non-parallel directions at two different moments of
time, while a test of the Bell and Wigner inequalities requires at least three
non-parallel directions, and a test of the Leggett-Garg inequalities -- at
least three distinct moments of time. Hence, the proposed inequality seems to
allow one to avoid the "contextuality loophole". Violation of the proposed
equality and inequality is illustrated with the behaviour of a pair of
anti-correlated spins in an external magnetic field and also with the
oscillations of flavour-entangled pairs of neutral pseudoscalar mesons.


title:
Generalization of Quadratic Manifolds for Reduced Order Modeling of
  Nonlinear Structural Dynamics

abstract:
  In this paper, a generalization of a quadratic manifold approach for the
reduction of geometrically nonlinear structural dynamics problems is presented.
This generalization is constructed by a linearization of the static force with
respect to the generalized coordinates, resulting in a shift of the quadratic
behavior from the force to the manifold. In this framework, static derivatives
emerge as natural extensions to modal derivatives for displacement fields other
than the vibration modes, such as the Krylov subspace vectors. Here the dynamic
problem is projected onto the tangent space of the quadratic manifold, allowing
for a much less number of generalized coordinates compared to linear basis
methods. The potential of the quadratic manifold approach is investigated in a
numerical study, where several variations of the approach are compared on
different examples, indicating a clear pattern where the proposed approach is
applicable.


title: Adams Operations on Matrix Factorizations

abstract:
  We define Adams operations on matrix factorizations, and we show these
operations enjoy analogues of several key properties of the Adams operations on
perfect complexes with support developed by Gillet-Soul\'e in their paper
"Intersection Theory Using Adams Operations". As an application, we give a
proof of a conjecture of Dao-Kurano concerning the vanishing of Hochster's
theta invariant.


title: Joint Large-Scale Motion Estimation and Image Reconstruction

abstract:
  This article describes the implementation of the joint motion estimation and
image reconstruction framework presented by Burger, Dirks and Sch\"onlieb and
extends this framework to large-scale motion between consecutive image frames.
The variational framework uses displacements between consecutive frames based
on the optical flow approach to improve the image reconstruction quality on the
one hand and the motion estimation quality on the other. The energy functional
consists of a data-fidelity term with a general operator that connects the
input sequence to the solution, it has a total variation term for the image
sequence and is connected to the underlying flow using an optical flow term.
Additional spatial regularity for the flow is modeled by a total variation
regularizer for both components of the flow. The numerical minimization is
performed in an alternating manner using primal-dual techniques. The resulting
schemes are presented as pseudo-code together with a short numerical
evaluation.


title:
A simple characterization of positivity preserving semi-linear parabolic
  systems

abstract:
  We give a simple and direct proof of the characterization of positivity
preserving semi-flows for ordinary differential systems. The same method
provides an abstract result on a class of evolution systems containing
reaction-diffusion systems in a bounded domain of $ \mathbb{R}^n$ with either
Neumann or Dirichlet homogeneous boundary conditions. The conditions are
exactly the same with or without diffusion. A similar approach gives the
optimal result for invariant rectangles in the case of Neumann conditions.


title: On Universal Quantum Dimensions

abstract:
  We represent in the universal form restricted one-instanton partition
function of supersymmetric Yang-Mills theory. It is based on the derivation of
universal expressions for quantum dimensions (universal characters) of Cartan
powers of adjoint and some other series of irreps of simple Lie algebras. These
formulae also provide a proof of formulae for universal quantum dimensions for
low-dimensional representations, needed in derivation of universal knot
polynomials (i.e. colored Wilson averages of Chern-Simons theory on 3d sphere).
As a check of the (complicated) formulae for universal quantum dimensions we
prove numerically Deligne's hypothesis on universal characters for symmetric
cube of adjoint representation.


title: Variable stars in the bulge globular cluster NGC 6401

abstract:
  We present a study of variable stars in globular cluster NGC 6401. The
cluster is only $5.3\degr$ away from the Galactic centre and suffers from
strong differential reddening. The photometric precision afforded us by
difference image analysis resulted in improved sensitivity to variability in
formerly inaccessible interior regions of the cluster. We find 23 RRab and 11
RRc stars within one cluster radius (2.4$\arcmin$), for which we provide
coordinates, finder-charts and time-series photometry. Through Fourier
decomposition of the RR Lyrae star light curves we derive a mean metallicity of
[Fe/H]$_{\mathrm{UVES}} = -1.13 \pm 0.06$ (${\rm [Fe/H]}_{\mathrm{ZW}} = -1.25
\pm 0.06$), and a distance of $d\approx 6.35 \pm 0.81$ kpc. Using the RR Lyrae
population, we also determine that NGC 6401 is an Oosterhoff type I cluster.


title:
Initial conditions for hydrodynamics from weakly coupled pre-equilibrium
  evolution

abstract:
  We use leading order effective kinetic theory to simulate the
pre\nobreakdash-equilibrium evolution of transverse energy and flow
perturbations in heavy-ion collisions. We provide a Green function which
propagates the initial perturbations of the energy-momentum tensor to a time
when hydrodynamics becomes applicable. With this map, the pre-thermal evolution
from saturated nuclei to hydrodynamics can be modeled in the framework of
weakly coupled QCD.


title:
From Special Relativity to embedded generators in Cartan subalgebras of
  rank-4 spin algebras

abstract:
  Starting by revisiting Special Relativity, here we provide a reliable
characterization of the entire 4-dimensional fundamental structures in our
reality where the frame of discrete tangent space of $F^{1,3}$ is quantized to
massless, zero-momentum particles distributing on a 4-dimensional regular base
$\{\mathbb{N}\cdot c_\alpha\}$ with metric
$B(c_\alpha,c_\beta)=\delta_{\alpha\beta}=\text{diag}(+,+,+,+)$, determining
the constant $c$ locally, as well as instant characterizations on all particles
moving along the proper time of $\tau\in\mathbb{N}$. Together with
$\phi_\text{IV}$ on 1-dimensional space $\{\mathbb{N}\cdot c_4\}$ of
$B(c_\alpha,c_4)=0$, the quantized particles of tangent frame are split
anti-symmetrically from roots $\gamma_{\alpha4}$ in a rank-4 Lie algebra with
exactly $c_\alpha$ the generators of its Cartan subalgebra. As with the
combined frame-Higgs valued in $\gamma_{\alpha4}$, every massive particle is
related to some split frame and Higgs to obtain its unique quantized relative
3-velocity, 4-velocity, and rest mass under the restriction of Pauli Exclusion
Principle at each $\tau$. We calculated the domains $S_i\subset F$ and
$S_0\subset F_\geq$ in $F_\geq\oplus F^3$ the spacetime in which a massive
particle $\mathtt{p}$ evolves with $\{x^\alpha\}$ of $x^\alpha\in S_\alpha$ the
coordinate its Center-of-Mass under an eligible observation that $\vert
F\vert=\vert F_\geq\vert=\aleph_0<\vert\mathbb{R}\vert$, available for
post-Newtonian approaches.


title: Named Entity Recognition for Novel Types by Transfer Learning

abstract:
  In named entity recognition, we often don't have a large in-domain training
corpus or a knowledge base with adequate coverage to train a model directly. In
this paper, we propose a method where, given training data in a related domain
with similar (but not identical) named entity (NE) types and a small amount of
in-domain training data, we use transfer learning to learn a domain-specific NE
model. That is, the novelty in the task setup is that we assume not just domain
mismatch, but also label mismatch.


title: Complex-Valued Kernel Methods for Regression

abstract:
  Usually, complex-valued RKHS are presented as an straightforward application
of the real-valued case. In this paper we prove that this procedure yields a
limited solution for regression. We show that another kernel, here denoted as
pseudo kernel, is needed to learn any function in complex-valued fields.
Accordingly, we derive a novel RKHS to include it, the widely RKHS (WRKHS).
When the pseudo-kernel cancels, WRKHS reduces to complex-valued RKHS of
previous approaches. We address the kernel and pseudo-kernel design, paying
attention to the kernel and the pseudo-kernel being complex-valued. In the
experiments included we report remarkable improvements in simple scenarios
where real a imaginary parts have different similitude relations for given
inputs or cases where real and imaginary parts are correlated. In the context
of these novel results we revisit the problem of non-linear channel
equalization, to show that the WRKHS helps to design more efficient solutions.


title: Strain controlled valley filtering in multi-terminal graphene structures

abstract:
  Valley-polarized currents can be generated by local straining of
multi-terminal graphene devices. The pseudo-magnetic field created by the
deformation allows electrons from only one valley to transmit and a current of
electrons from a single valley is generated at the opposite side of the locally
strained region. We show that valley filtering is most effective with bumps of
a certain height and width. Despite the fact that the highest contribution to
the polarized current comes from electrons from the lowest sub-band,
contributions of other sub-bands are not negligible and can significantly
enhance the output current.


title: Charge, Spin and Valley Hall Effects in Disordered Graphene

abstract:
  The discovery of the integer quantum Hall effect in the early eighties of the
last century, with highly precise quantization values for the Hall conductance
in multiples of $e^2/h$, has been the first fascinating manifestation of the
topological state of matter driven by magnetic field and disorder, and related
to the formation of non-dissipative current flow. In 2005, several new
phenomena such as the spin Hall effect and the quantum spin Hall effect were
predicted in the presence of strong spin-orbit coupling and vanishing external
magnetic field. More recently, the Zeeman spin Hall effect and the formation of
valley Hall topological currents have been introduced for graphene-based
systems, under time-reversal or inversion symmetry-breaking conditions,
respectively. This review presents a comprehensive coverage of all these Hall
effects in disordered graphene from the perspective of numerical simulations of
quantum transport in two-dimensional bulk systems (by means of the Kubo
formalism) and multiterminal nanostructures (by means of the
Landauer-B\"{u}ttiker scattering and nonequilibrium Green function approaches).
In contrast to usual two-dimensional electron gases, the presence of defects in
graphene generates more complex electronic features such as electron-hole
asymmetry, defect resonances or percolation effect between localized impurity
states, which, together with extra degrees of freedom (sublattice pseudospin,
valley isospin), bring a higher degree of complexity and enlarge the transport
phase diagram.


title: Energy-preserving $H^1$-Galerkin schemes for the Hunter--Saxton equation

abstract:
  We consider the numerical integration of the Hunter--Saxton equation, which
models the propagation of weakly nonlinear orientation waves. For the equation,
we present two weak forms and their Galerkin discretizations. The Galerkin
schemes preserve the Hamiltonian of the equation and can be implemented with
cheap $H^1$ elements. Numerical experiments confirm the effectiveness of the
schemes.


title:
Reply to Comment on "Dynamics of the Density of Quantized Vortex-Lines
  in Superfluid Turbulence"

abstract:
  This is a Reply to Nemirovskii Comment [Phys. Rev. B 94, 146501 (2016)] on
the Khomenko et al, [Phys.Rev. B v.91, 180504(2016)], in which a new form of
the production term in Vinen's equation for the evolution of the vortex-line
density $\cal L$ in the thermal counterflow of superfluid $^4$He in a channel
was suggested. To further substantiate the suggested form which was questioned
in the Comment, we present a physical explanation for the improvement of the
closure suggested in Khomenko et al [Phys.Rev. B v. 91, 180504(2016)] in
comparison to the form proposed by Vinen. We also discuss the closure for the
flux term, which agrees well with the numerical results without any fitting
parameters.


title: Wach modules, regulator maps, and epsilon-isomorphisms in families

abstract:
  We prove the local epsilon-isomorphism conjecture of Fukaya and Kato [FK06]
for certain crystalline families of G_Qp-representations. This conjecture can
be regarded as a local analogue of the Iwasawa main conjecture for families.
Our work extends earlier work of Kato for rank-1 modules (cf. [Ven13]), of
Benois and Berger for crystalline G_Qp-representations with respect to the
cyclotomic extension (cf. [BB08]), as well as of Loeffler, Venjakob, and Zerbes
(cf. [LVZ13]) for crystalline G_Qp- representations with respect to abelian
p-adic Lie extensions of Qp. Nakamura [Nak13, Nak14] has also formulated a
version of the epsilon-conjecture for affinoid families of (phi,Gamma)-modules
over the Robba ring, and proved his conjecture in the rank-1 case. He used this
case to construct an epsilon-isomorphism for families of trianguline
(phi,Gamma)-modules, depending on a fixed triangulation. Our results imply that
this epsilon-isomorphism is independent of the chosen triangulation for certain
crystalline families. The main ingredient of our proof consists of the
construction of families of Wach modules generalizing work of Wach and Berger
[Ber04] and following the approach of Kisin to the construction of potentially
semi-stable deformation rings [Kisa].


title: Scaling Law of Urban Ride Sharing

abstract:
  Sharing rides could drastically improve the efficiency of car and taxi
transportation. Unleashing such potential, however, requires understanding how
urban parameters affect the fraction of individual trips that can be shared, a
quantity that we call shareability. Using data on millions of taxi trips in New
York City, San Francisco, Singapore, and Vienna, we compute the shareability
curves for each city, and find that a natural rescaling collapses them onto a
single, universal curve. We explain this scaling law theoretically with a
simple model that predicts the potential for ride sharing in any city, using a
few basic urban quantities and no adjustable parameters. Accurate
extrapolations of this type will help planners, transportation companies, and
society at large to shape a sustainable path for urban growth.


title:
The second order magnetic field gradient induced strong coupling between
  nitrogen-vacancy centers and a mechanical oscillator

abstract:
  We consider a cantilever mechanical oscillator(MO) made of diamond. There is
a nitrogen-vacancy(NV) center at the end of the cantilever. Two magnetic tips
induce strong second order magnetic field gradient near the NV center. Under a
coherent driving on MO, we find that the coupling between the MO and the NV
center can be greatly enhanced. We studied how to realize quantum state
transfer between MO and NV center and generate entanglement between them. We
also proposed a scheme to generate the two-mode squeezing between different MO
modes by coupling them to the same NV center. The decoherence and dissipation
effects for both MO and NV center are numerically calculated by taking the
present experimental parameters. It is found that high fidelity quantum state
transfer, entanglement generation, and large two-mode squeezing could be
achieved.


title:
On the elementary single-fold operations of origami: reflections and
  incidence constraints on the plane

abstract:
  This article reviews the so-called "axioms" of origami (paper folding), which
are elementary single-fold operations to achieve incidences between points and
lines in a sheet of paper. The geometry of reflections is applied, and
exhaustive analysis of all possible incidences reveals a set of eight
elementary operations. The set includes the previously known seven "axioms",
plus the operation of folding along a given line. This operation has been
ignored in past studies because it does not create a new line. However,
completeness of the set and its regular application in practical origami
dictate its inclusion. Formal definitions and conditions of existence of
solutions are given for all the operations.


title:
Effects of non-minimal Universal Extra Dimension on $B\rightarrow
  X_s\gamma$

abstract:
  We estimate contributions from Kaluza-Klein excitations of third generation
quarks and gauge bosons to the branching ratio of $B\rightarrow X_s\gamma$
decay process in 5-Dimensional Universal Extra Dimensional scenario with
non-vanishing boundary localised terms. This model is conventionally known as
non-minimal Universal Extra Dimensional model. We have derived the lower limit
on the size of the extra dimension by comparing our theoretical estimation of
the branching ratio which includes next-to-next-to leading order QCD
corrections with its experimentally measured value. Coefficients of the
boundary localised terms have also been constrained. 95 \% C.L. lower limit on
inverse of radius of compactification ($R^{-1}$) can be as large as 670 GeV for
some choice of the value of coefficients of boundary localised terms.


title:
Dispersive mixed-order systems in $L^p$-Sobolev spaces and application
  to the thermoelastic plate equation

abstract:
  We study dispersive mixed-order systems of pseudodifferential operators in
the setting of $L^p$-Sobolev spaces. Under the weak condition of
quasi-hyperbolicity, these operators generate a semigroup in the space of
tempered distributions. However, if the basic space is a tuple of $L^p$-Sobolev
spaces, a strongly continuous semigroup is in many cases only generated if
$p=2$ or $n=1$. The results are applied to the linear thermoelastic plate
equation inertial term and with Fourier's or Maxwell-Cattaneo's law of heat
conduction.


title:
Leveraging contact network structure in the design of cluster randomized
  trials

abstract:
  Background: In settings where proof-of-principle trials have succeeded but
the effectiveness of different forms of implementation remains uncertain,
trials that not only generate information about intervention effects but also
provide public health benefit would be useful. Cluster randomized trials (CRT)
capture both direct and indirect intervention effects; the latter depends
heavily on contact networks within and across clusters. We propose a novel
class of connectivity-informed trial designs that leverages information about
such networks in order to improve public health impact and preserve ability to
detect intervention effects.
  Methods: We consider CRTs in which the order of enrollment is based on the
total number of ties between individuals across clusters (based either on the
total number of inter-cluster connections or on connections only to untreated
clusters). We include options analogous both to traditional Parallel and
Stepped Wedge designs. We also allow for control clusters to be "held-back"
from re-randomization for some period. We investigate the performance epidemic
control and power to detect vaccine effect performance of these designs by
simulating vaccination trials during an SEIR-type epidemic using a
network-structured agent-based model.
  Results: In our simulations, connectivity-informed designs have lower peak
infectiousness than comparable traditional designs and reduce cumulative
incidence by 20%, but with little impact on time to end of epidemic and reduced
power to detect differences in incidence across clusters. However even a brief
"holdback" period restores most of the power lost compared to traditional
approaches.
  Conclusion: Incorporating information about cluster connectivity in design of
CRTs can increase their public health impact, especially in acute outbreak
settings, with modest cost in power to detect an effective intervention.


title:
Constructive symbolic presentations of rank one measure-preserving
  systems

abstract:
  Given a rank one measure-preserving system defined by cutting and stacking
with spacers, we produce a rank one binary sequence such that its orbit closure
under the shift transformation, with its unique {nonatomic} invariant
probability, is isomorphic to the given system. In particular, the classical
dyadic odometer is presented in terms of a recursive sequence of blocks on the
two-symbol alphabet $\{0,1\}$. The construction is accomplished using a
definition of rank one in the setting of adic, or Bratteli-Vershik, systems.


title: Fractal aspects of hadrons

abstract:
  The non extensive aspects of $p_T$ distributions obtained in high energy
collisions are discussed in relation to possible fractal structure in hadrons,
in the sense of the thermofractal structure recently introduced. The evidences
of self-similarity in both theoretical and experimental works in High Energy
and in Hadron Physics are discussed, to show that the idea of fractal structure
of hadrons and fireballs have being under discussion for decades. The non
extensive self-consistent thermodynamics and the thermofractal structure allow
one to connect non extensivity to intermittence and possibly to parton
distribution functions in a single theoretical framework.


title: Maximal Packing with Interference Constraints

abstract:
  In this work, we study the problem of scheduling a maximal set of
transmitters subjected to an interference constraint across all the nodes.
Given a set of nodes, the problem reduces to finding the maximum cardinality of
a subset of nodes that can concurrently transmit without violating interference
constraints. The resulting packing problem is a binary optimization problem and
is NP hard. We propose a semi-definite relaxation (SDR) for this problem and
provide bounds on the relaxation.


title:
A mid-IR interferometric survey with MIDI/VLTI: resolving the
  second-generation protoplanetary disks around post-AGB binaries

abstract:
  We present a mid-IR interferometric survey of the circumstellar environment
of a specific class of post-Asymptotic Giant Branch (post-AGB) binaries. For
this class the presence of a compact dusty disk has been postulated on the
basis of various spatially unresolved measurements. Our interferometric survey
was performed with the MIDI instrument on the VLTI. In total 19 different
systems were observed using variable baseline configurations. Combining all the
visibilities at a single wavelength at 10.7 micron, we fitted two parametric
models to the data: a uniform disk (UD) and a ring model mimicking a
temperature gradient. We compared our observables of the whole sample, with
synthetic data computed from a grid of radiative transfer models of passively
irradiated disks in hydrostatic equilibrium. These models are computed with a
Monte Carlo code that has been widely applied to describe the structure of
protoplanetary disks around young stellar objects (YSO). The spatially resolved
observations show that the majority of our targets cluster closely together in
the distance-independent size-colour diagram, and have extremely compact N-band
emission regions. The typical uniform disk diameter of the N-band emission
region is about 40 mass which corresponds to a typical brightness temperature
of 400-600~K. The resolved objects display very similar characteristics in the
interferometric observables and in the spectral energy distributions.
Therefore, the physical properties of the disks around our targets must be
similar. The grid of protoplanetary disk models covers very well the observed
objects. Much like for young stars, the spatially resolved N-band emission
region is determined by the hot inner rim of the disk. Continued comparisons
between post-AGB and protoplanetary disks will help to understand grain growth
and disk evolution processes,


title:
Some compatible Poisson structures and integrable bi-Hamiltonian systems
  on four dimensional and nilpotent six dimensional symplectic real Lie groups

abstract:
  We provide an alternative method for obtaining of compatible Poisson
structures on Lie groups by means of the adjoint representations of Lie
algebras. In this way, we calculate some compatible Poisson structures on four
dimensional and nilpotent six dimensional symplectic real Lie groups. Then
using Magri-Morosi's theorem we obtain new bi-Hamiltonian systems with four
dimensional and nilpotent six dimensional symplectic real Lie groups as phase
spaces.


title: Support Vector Machines and Generalisation in HEP

abstract:
  We review the concept of support vector machines (SVMs) and discuss examples
of their use. One of the benefits of SVM algorithms, compared with neural
networks and decision trees is that they can be less susceptible to over
fitting than those other algorithms are to over training. This issue is related
to the generalisation of a multivariate algorithm (MVA); a problem that has
often been overlooked in particle physics. We discuss cross validation and how
this can be used to improve the generalisation of a MVA in the context of High
Energy Physics analyses. The examples presented use the Toolkit for
Multivariate Analysis (TMVA) based on ROOT and describe our improvements to the
SVM functionality and new tools introduced for cross validation within this
framework.


title:
Coevolution of Cooperation and Partner Rewiring Range in Spatial Social
  Networks

abstract:
  In recent years, there has been growing interest in the study of
coevolutionary games on networks. Despite much progress, little attention has
been paid to spatially embedded networks, where the underlying geographic
distance, rather than the graph distance, is an important and relevant aspect
of the partner rewiring process. It thus remains largely unclear how individual
partner rewiring range preference, local vs. global, emerges and affects
cooperation. Here we explicitly address this issue using a coevolutionary model
of cooperation and partner rewiring range preference in spatially embedded
social networks. In contrast to local rewiring, global rewiring has no distance
restriction but incurs a one-time cost upon establishing any long range link.
We find that under a wide range of model parameters, global partner switching
preference can coevolve with cooperation. Moreover, the resulting partner
network is highly degree-heterogeneous with small average shortest path length
while maintaining high clustering, thereby possessing small-world properties.
We also discover an optimum availability of reputation information for the
emergence of global cooperators, who form distant partnerships at a cost to
themselves. From the coevolutionary perspective, our work may help explain the
ubiquity of small-world topologies arising alongside cooperation in the real
world.


title:
Multilevel and Multi-index Monte Carlo methods for the McKean-Vlasov
  equation

abstract:
  We address the approximation of functionals depending on a system of
particles, described by stochastic differential equations (SDEs), in the
mean-field limit when the number of particles approaches infinity. This problem
is equivalent to estimating the weak solution of the limiting McKean-Vlasov
SDE. To that end, our approach uses systems with finite numbers of particles
and a time-stepping scheme. In this case, there are two discretization
parameters: the number of time steps and the number of particles. Based on
these two parameters, we consider different variants of the Monte Carlo and
Multilevel Monte Carlo (MLMC) methods and show that, in the best case, the
optimal work complexity of MLMC, to estimate the functional in one typical
setting with an error tolerance of $\mathrm{TOL}$, is $\mathcal
O\left({\mathrm{TOL}^{-3}}\right)$ when using the partitioning estimator and
the Milstein time-stepping scheme. We also consider a method that uses the
recent Multi-index Monte Carlo method and show an improved work complexity in
the same typical setting of $\mathcal
O\left(\mathrm{TOL}^{-2}\log(\mathrm{TOL}^{-1})^2\right)$. Our numerical
experiments are carried out on the so-called Kuramoto model, a system of
coupled oscillators.


title: Knowledge Questions from Knowledge Graphs

abstract:
  We address the novel problem of automatically generating quiz-style knowledge
questions from a knowledge graph such as DBpedia. Questions of this kind have
ample applications, for instance, to educate users about or to evaluate their
knowledge in a specific domain. To solve the problem, we propose an end-to-end
approach. The approach first selects a named entity from the knowledge graph as
an answer. It then generates a structured triple-pattern query, which yields
the answer as its sole result. If a multiple-choice question is desired, the
approach selects alternative answer options. Finally, our approach uses a
template-based method to verbalize the structured query and yield a natural
language question. A key challenge is estimating how difficult the generated
question is to human users. To do this, we make use of historical data from the
Jeopardy! quiz show and a semantically annotated Web-scale document collection,
engineer suitable features, and train a logistic regression classifier to
predict question difficulty. Experiments demonstrate the viability of our
overall approach.


title: Human Mobility in Large Cities as a Proxy for Crime

abstract:
  We investigate at the subscale of the neighborhoods of a highly populated
city the incidence of property crimes in terms of both the resident and the
floating population. Our results show that a relevant allometric relation could
only be observed between property crimes and floating population. More
precisely, the evidence of a superlinear behavior indicates that a
disproportional number of property crimes occurs in regions where an increased
flow of people takes place in the city. For comparison, we also found that the
number of crimes of peace disturbance only correlates well, and in a
superlinear fashion too, with the resident population. Our study raises the
interesting possibility that the superlinearity observed in previous studies
[Bettencourt et al., Proc. Natl. Acad. Sci. USA 104, 7301 (2007) and Melo et
al., Sci. Rep. 4, 6239 (2014)] for homicides versus population at the city
scale could have its origin in the fact that the floating population, and not
the resident one, should be taken as the relevant variable determining the
intrinsic microdynamical behavior of the system.


title: COSPEDTree-II: Improved Couplet based Phylogenetic Supertree

abstract:
  A Supertree synthesizes the topologies of a set of phylogenetic trees
carrying overlapping taxa set. In process, conflicts in the tree topologies are
aimed to be resolved with the consensus clades. Such a problem is proved to be
NP-hard. Various heuristics on local search, maximum parsimony, graph cut, etc.
lead to different supertree approaches, of which the most popular methods are
based on analyzing fixed size subtree topologies (such as triplets or
quartets). Time and space complexities of these methods, however, depend on the
subtree size considered. Our earlier proposed supertree method COSPEDTree, uses
evolutionary relationship among individual couplets (taxa pair), to produce
slightly conservative (not fully resolved) supertrees. Here we propose its
improved version COSPEDTree-II, which produces better resolved supertree with
lower number of missing branches, and incurs much lower running time. Results
on biological datasets show that COSPEDTree-II belongs to the category of high
performance and computationally efficient supertree methods.


title:
Transitionless intra-cavity quantum state transfer in optomechanical
  systems

abstract:
  Quantum state transfer between cavities is crucial for quantum information
processing and quantum computation in optomechanical systems. Here, we present
the first scheme for the transitionless intra-cavity quantum state transfer
based on transitionless quantum driving (TQD) algorithm in optomechanical
systems. We also present a physically feasible system for the TQD process based
on largely detuned optomechanical cavity. With the Gaussian time-dependence
coupling strengths, our scheme can achieve the perfect quantum state transfer
with no undesired transition and reduce the dependence of accurately
controlling evolution time and interval of coupling strengths. Our
computational results show that the TQD process can be accomplished with no
need of the mechanical oscillator in its ground state and is also robust to the
mechanical dissipation.


title: Impact of centrality on cooperative processes

abstract:
  The solution of today's complex problems requires the grouping of task forces
whose members are usually connected remotely over long physical distances and
different time zones. Hence, understanding the effects of imposed communication
patterns (i.e., who can communicate with whom) on group performance is
important. Here, we use an agent-based model to explore the influence of the
betweenness centrality of the nodes on the time the group requires to find the
global maxima of NK-fitness landscapes. The agents cooperate by broadcasting
messages, informing on their fitness to their neighbors, and use this
information to copy the more successful agents in their neighborhood. We find
that for easy tasks (smooth landscapes), the topology of the communication
network has no effect on the performance of the group, and that the more
central nodes are the most likely to find the global maximum first. For
difficult tasks (rugged landscapes), however, we find a positive correlation
between the variance of the betweenness among the network nodes and the group
performance. For these tasks, the performances of individual nodes are strongly
influenced by the agents dispositions to cooperate and by the particular
realizations of the rugged landscapes.


title:
Differential cross section for the Higgs boson production in 4-lepton
  channel and $k_T$-factorization

abstract:
  We present our study of the differential cross section for the Higgs boson
production in $k_T$-factorization framework. The $k_T$-factorization formalism
includes a convolution over unintegrated parton distribution functions (uPDF)
and off-shell parton level matrix element. The off-shell matrix element
calculated considering initial gluons to be off-shell. We have considered only
gluon fusion process which is dominant production mechanism for the Higgs boson
production at LHC. We have used Ciafaloni-Catani-Fiorani-Marchesini (CCFM) uPDF
based on CCFM evolution equations. We have compared our results with fixed
order estimates up to NNLO+NNLL obtained using HRes tool within collinear
factorization framework as well as with the ATLAS and CMS measurements of the
corresponding differential distributions. This study will play an important
role in understanding differential cross section within $k_T$-factorization
framework.


title: Gamma-ray Novae: Rare or Nearby?

abstract:
  Classical Novae were revealed as a surprise source of gamma-rays in Fermi LAT
observations. During the first 8 years since the LAT was launched, 6 novae in
total have been detected to > 5 sigma in gamma-rays, in contrast to the 69
discovered optically in the same period. We attempt to resolve this discrepancy
by assuming all novae are gamma-ray emitters, and assigning peak one-day fluxes
based on a flat distribution of the known emitters to a simulated population.
To determine optical parameters, the spatial distribution and magnitudes of
bulge and disc novae in M31 are scaled to the Milky Way, which we approximate
as a disc with a 20 kpc radius and elliptical bulge with semi major axis 3 kpc
and axis ratios 2:1 in the xy plane. We approximate Galactic reddening using a
double exponential disc with vertical and radial scale heights of r_d = 5 kpc
and z_d = 0.2 kpc, and demonstrate that even such a rudimentary model can
easily reproduce the observed fraction of gamma-ray novae, implying that these
apparently rare sources are in fact nearby and not intrinsically rare. We
conclude that classical novae with m_R < 12 and within ~8 kpc are likely to be
discovered in gamma-rays using the Fermi LAT.


title: Orbit equivalence of graphs and isomorphism of graph groupoids

abstract:
  We show that the groupoids of two directed graphs are isomorphic if and only
if the two graphs are orbit equivalent by an orbit equivalence that preserves
isolated eventually periodic points. We also give a complete description of the
(topological) isolated points of the boundary path space of a graph. As a
result, we are able to show that the groupoids of two directed graphs with
finitely many vertices and no sinks are isomorphic if and only if the two
graphs are orbit equivalent, and that the groupoids of the stabilisations of
two such graphs are isomorphic if and only if the stabilisations of the graphs
are orbit equivalent.


title: Massless Interacting Scalar Fields in de Sitter space

abstract:
  We present a method to compute the two-point functions for an $O(N)$ scalar
field model in de Sitter spacetime, avoiding the well known infrared problems
for massless fields. The method is based on an exact treatment of the Euclidean
zero modes and a perturbative one of the nonzero modes, and involves a partial
resummation of the leading secular terms. This resummation, crucial to obtain a
decay of the correlation functions, is implemented along with a double
expansion in an effective coupling constant $\sqrt\lambda$ and in $1/N$. The
results reduce to those known in the leading infrared approximation and
coincide with the ones obtained directly in Lorentzian de Sitter spacetime in
the large $N$ limit. The new method allows for a systematic calculation of
higher order corrections both in $\sqrt\lambda$ and in $1/N$.


title: Strong non-equilibrium effects in spin torque systems

abstract:
  We consider a problem of persistent magnetization precession in a single
domain ferromagnetic nano particle under the driving by the spin-transfer
torque. We find that the adjustment of the electronic distribution function in
the particle renders this state unstable. Instead, abrupt switching of the spin
orientation is predicted upon increase of the spin-transfer torque current. On
the technical level, we derive an effective action of the type of
Ambegaokar-Eckern-Sch\"on action for the coupled dynamics of magnetization
(gauge group $SU(2)$) and voltage (gauge group $U(1)$).


title:
Flow equivalence and orbit equivalence for shifts of finite type and
  isomorphism of their groupoids

abstract:
  We give conditions for when continuous orbit equivalence of one-sided shift
spaces implies flow equivalence of the associated two-sided shift spaces. Using
groupoid techniques, we prove that this is always the case for shifts of finite
type. This generalises a result of Matsumoto and Matui from the irreducible to
the general case. We also prove that a pair of one-sided shift spaces of finite
type are continuously orbit equivalent if and only if their groupoids are
isomorphic, and that the corresponding two-sided shifts are flow equivalent if
and only if the groupoids are stably isomorphic.
  As applications we show that two finite directed graphs with no sinks and no
sources are move equivalent if and only if the corresponding graph
$C^*$-algebras are stably isomorphic by a diagonal-preserving isomorphism (if
and only if the corresponding Leavitt path algebras are stably isomorphic by a
diagonal-preserving isomorphism), and that two topological Markov chains are
flow equivalent if and only if there is a diagonal-preserving isomorphism
between the stabilisations of the corresponding Cuntz-Krieger algebras (the
latter generalises a result of Matsumoto and Matui about irreducible
topological Markov chains to a result about general topological Markov chains).
  We also show that for general shift spaces, strongly continuous orbit
equivalence implies two-sided conjugacy.


title: Quantitative stratification of $F$-subharmonic functions

abstract:
  In this paper, we study the singular sets of $F$-subharmonic functions $u:
B_{2}(0^{n})\rightarrow\mathbf{R}$, where $F$ is a subequation. The singular
set $\mathcal{S}(u)\subset B_{2}(0^{n})$ has a stratification
$\mathcal{S}^{0}(u)\subset\mathcal{S}^{1}(u)\subset\cdots\subset\mathcal{S}^{k}(u)\subset\cdots\subset\mathcal{S}(u)$,
where $x\in\mathcal{S}^{k}(u)$ if no tangent function to $u$ at $x$ is
$(k+1)$-homogeneous. We define the quantitative stratification
$\mathcal{S}_{\eta,r}^{k}(u)$ and
$\mathcal{S}_{\eta}^{k}(u)=\cap_{r}\mathcal{S}_{\eta,r}^{k}(u)$.
  When homogeneity of tangents holds for $F$, we prove that
$dim_{H}\mathcal{S}^{k}(u)\leq k$ and $\mathcal{S}(u)=\mathcal{S}^{n-p}(u)$,
where $p$ is the Riesz characteristic of $F$. And for the top quantitative
stratification $\mathcal{S}_{\eta}^{n-p}(u)$, we have the Minkowski estimate
$\text{Vol}(B_{r}(\mathcal{S}_{\eta}^{n-p}(u)\cap B_{1}(0^{n})))\leq
C\eta^{-1}(\int_{B_{1+r}(0^{n})}\Delta u)r^{p}$.
  When uniqueness of tangents holds for $F$, we show that $S_{\eta}^{k}(u)$ is
$k$-rectifiable, which implies $\mathcal{S}^{k}(u)$ is $k$-rectifiable.
  When strong uniqueness of tangents holds for $F$, we introduce the
monotonicity condition and the notion of $F$-energy. By using refined covering
argument, we obtain a definite upper bound on the number of $\{\Theta(u,x)\geq
c\}$ for $c>0$, where $\Theta(u,x)$ is the density of $F$-subharmonic function
$u$ at $x$.
  Geometrically determined subequations $F(\mathbb{G})$ is a very important
kind of subequation (when $p=2$, homogeneity of tangents holds for
$F(\mathbb{G})$; when $p>2$, uniqueness of tangents holds for $F(\mathbb{G})$).
By introducing the notion of $\mathbb{G}$-energy and using quantitative
differentation argument, we obtain the Minkowski estimate of quantitative
stratification $\text{Vol}(B_{r}(\mathcal{S}_{\eta,r}^{k}(u))\cap
B_{1}(0^{n}))\leq Cr^{n-k-\eta}$.


title: A Study of Universal Thermodynamics in Lanczos-Lovelock gravity

abstract:
  A study of Universal thermodynamics is done in Lanczos-Lovelock gravity. The
Universe is chosen as FRW model bounded by apparent or event horizon. The
unified first law is examined, assuming extended Hawking temperature on the
horizon. As a result there is a modification of Bekenstein entropy on the
horizons. Further the validity of generalized second law of thermodynamics and
thermodynamical equilibrium are also investigated for perfect fluid (with
constant equation of state), modified chaplygin gas model and holographic dark
energy model.


title: Complex saddles in the Gross-Witten-Wadia matrix model

abstract:
  We give an exhaustive characterization of the complex saddle point
configurations of the Gross-Witten-Wadia matrix model in the large-N limit. In
particular, we characterize the cases in which the saddles accumulate in one,
two, or three arcs, in terms of the values of the coupling constant and of the
fraction of the total unit density that is supported in one of the arcs, and
derive an explicit condition for gap closing associated to nonvacuum saddles.
By applying the idea of large-N instanton we also give direct analytic
derivations of the weak-coupling and strong-coupling instanton actions.


title: Moduli Spaces of Transverse Deformations of Near-Horizon Geometries

abstract:
  We investigate deformations of extremal near-horizon geometries in
Einstein-Maxwell-Dilaton theory, including various topological terms, and also
in D=11 supergravity. By linearizing the field equations and Bianchi identities
over the compact spatial cross-sections of the near-horizon geometry, we prove
that the moduli associated with such deformations are constrained by elliptic
systems of PDEs. The moduli space of deformations of near-horizon geometries in
these theories is therefore shown to be finite dimensional.


title: From Node Embedding To Community Embedding

abstract:
  Most of the existing graph embedding methods focus on nodes, which aim to
output a vector representation for each node in the graph such that two nodes
being "close" on the graph are close too in the low-dimensional space. Despite
the success of embedding individual nodes for graph analytics, we notice that
an important concept of embedding communities (i.e., groups of nodes) is
missing. Embedding communities is useful, not only for supporting various
community-level applications, but also to help preserve community structure in
graph embedding. In fact, we see community embedding as providing a
higher-order proximity to define the node closeness, whereas most of the
popular graph embedding methods focus on first-order and/or second-order
proximities. To learn the community embedding, we hinge upon the insight that
community embedding and node embedding reinforce with each other. As a result,
we propose ComEmbed, the first community embedding method, which jointly
optimizes the community embedding and node embedding together. We evaluate
ComEmbed on real-world data sets. We show it outperforms the state-of-the-art
baselines in both tasks of node classification and community prediction.


title:
High Electric Field Carrier Transport and Power Dissipation in
  Multilayer Black Phosphorus Field Effect Transistor with Dielectric
  Engineering

abstract:
  This study addresses high electric field transport in multilayer black
phosphorus (BP) field effect transistors (FETs) with self-heating and thermal
spreading by dielectric engineering. Interestingly, we found that multilayer BP
device on a SiO2 substrate exhibited a maximum current density of 3.3 x 10E10
A/m2 at an electric field of 5.58 MV/m, several times higher than multilayer
MoS2. Our breakdown thermometry analysis revealed that self-heating was impeded
along BP-dielectric interface, resulting in a thermal plateau inside the
channel and eventual Joule breakdown. Using a size-dependent electro-thermal
transport model, we extracted an interfacial thermal conductance of 1-10 MW/m2
K for the BP-dielectric interfaces. By using hBN as a dielectric material for
BP instead of thermally resistive SiO2 (about 1.4 W/m K), we observed a 3 fold
increase in breakdown power density and a relatively higher electric field
endurance together with efficient and homogenous thermal spreading because hBN
had superior structural and thermal compatibility with BP. We further confirmed
our results based on micro-Raman spectroscopy and atomic force microscopy, and
observed that BP devices on hBN exhibited centrally localized hotspots with a
breakdown temperature of 600K, while the BP device on SiO2 exhibited a hotspot
in the vicinity of the electrode at 520K.


title: Remarks on the Taub-NUT solution in Chern-Simons modified gravity

abstract:
  We discuss the generalization of the NUT spacetime in General Relativity (GR)
within the framework of the (dynamical) Einstein--Chern-Simons (ECS) theory
with a massless scalar field. These configurations approach asymptotically the
NUT spacetime and are characterized by the `electric' and `magnetic' mass
parameters and a scalar `charge'. The solutions are found both analytically and
numerically. The analytical approach is perturbative around the Einstein
gravity background. Our results indicate that the ECS configurations share all
basic properties of the NUT spacetime in GR. However, when considering the
solutions inside the event horizon, we find that in contrast to the GR case,
the spacetime curvature grows (apparently) without bound.


title:
Non-perturbative gluon-hadron inputs for all available forms of QCD
  factorization

abstract:
  Description of hadronic reactions at high energies is conventionally done on
basis of QCD factoriza- tion so that factorization convolutions involve
non-perturbative inputs mimicking non-perturbative contributions and
perturbative evolution of those inputs. We construct the inputs for the gluon-
hadron scattering amplitudes in the forward kinematics and, using the Optical
theorem, convert them into inputs for gluon distributions in the both polarized
and unpolarized hadrons. Firstly, we derive general mathematical criteria which
any model for the inputs should obey and then suggest a Resonance Model
satisfying those criteria. This model is inspired by a simple observation:
after emitting an active parton off the hadron, the remaining ensemble of
spectators becomes unstable and therefore it can be described through factors
of the resonance type. Exploiting Resonance Model, we obtain non-perturbative
inputs for gluon distributions in unpolarized and polarized hadrons for all
available forms of QCD factorization: Basic, KT - and Collinear Factorizations.
We compare the obtained inputs to the inputs available in the literature.


title:
Modelling Defect Cavities Formed in Inverse Three-Dimensional
  Rod-Connected Diamond Photonic Crystals

abstract:
  Defect cavities in 3D photonic crystal can trap and store light in the
smallest volumes allowable in dielectric materials, enhancing non-linearities
and cavity QED effects. Here, we study inverse rod-connected diamond (RCD)
crystals containing point defect cavities using plane-wave expansion and
finite-difference time domain methods. By optimizing the dimensions of the
crystal, wide photonic band gaps are obtained. Mid-bandgap resonances can then
be engineered by introducing point defects in the crystal. We investigate a
variety of single spherical defects at different locations in the unit cell
focusing on high-refractive-index contrast (3.3:1) inverse RCD structures;
quality factors (Q-factors) and mode volumes of the resonant cavity modes are
calculated. By choosing a symmetric arrangement, consisting of a single sphere
defect located at the center of a tetrahedral arrangement, mode volumes < 0.06
cubic wavelengths are obtained, a record for high index cavities.


title: Multiparton interactions: From pp to pA

abstract:
  In the process of understanding nuclear collisions, reliable extrapolations
from pp collisions, based on Glauber models, are highly desirable, though
seldomly accurate. We review the inclusion of diffractive excitations and argue
that they provide an important contribution to centrality observables in pA
collisions. We present a method for distinguishing between diffractively and
non-diffractively wounded nucleons, and a proof-of-principle for an
extrapolation of multiparton interaction models built on this.


title:
A Rubidium M$_{\mathrm{x}}$-magnetometer for Measurements on Solid State
  Spins

abstract:
  The detection of environmental magnetic fields is well established by
optically pumped atomic magnetometers. Another focus of magnetometry can be the
research on magnetic or spin-active solid-state samples. Here we introduce a
simple and compact design of a rubidium-based M$_{\mathrm{x}}$-magnetometer,
which allows for hosting solid-state samples. The optical, mechanical and
electrical design is reported, as well as simple measurements which introduce
the ground-state spin-relaxation time, the signal-to-noise ratio of a
measurement, and subsequently the overall sensitivity of the magnetometer. The
magnetometer is optimized for the most sensitive operation with respect to
laser power and magnetic field excitation at the Larmor frequency.


title: Convergence Rates for Kernel Regression in Infinite Dimensional Spaces

abstract:
  We consider a nonparametric regression setup, where the covariate is a random
element in a complete separable metric space, and the parameter of interest
associated with the conditional distribution of the response lies in a
separable Banach space. We derive the optimum convergence rate for the kernel
estimate of the parameter in this setup. The small ball probability in the
covariate space plays a critical role in determining the asymptotic variance of
kernel estimates. Unlike the case of finite dimensional covariates, we show
that the asymptotic orders of the bias and the variance of the estimate
achieving the optimum convergence rate may be different for infinite
dimensional covariates. Also, the bandwidth, which balances the bias and the
variance, may lead to an estimate with suboptimal mean square error for
infinite dimensional covariates. We describe a data-driven adaptive choice of
the bandwidth, and derive the asymptotic behavior of the adaptive estimate.


title:
Capturing the "Whole Tale" of Computational Research: Reproducibility in
  Computing Environments

abstract:
  We present an overview of the recently funded "Merging Science and
Cyberinfrastructure Pathways: The Whole Tale" project (NSF award #1541450). Our
approach has two nested goals: 1) deliver an environment that enables
researchers to create a complete narrative of the research process including
exposure of the data-to-publication lifecycle, and 2) systematically and
persistently link research publications to their associated digital scholarly
objects such as the data, code, and workflows. To enable this, Whole Tale will
create an environment where researchers can collaborate on data, workspaces,
and workflows and then publish them for future adoption or modification.
Published data and applications will be consumed either directly by users using
the Whole Tale environment or can be integrated into existing or future domain
Science Gateways.


title: Physical viability of fluid spheres satisfying the Karmarkar condition

abstract:
  We obtain a new solution of the TOV-equation for an anisotropic fluid
distribution by imposing the Karmarkar condition. In order to close the system
of equations we postulate an interesting form for the grr gravitational
potential which allows us to solve for gtt metric component via the Karmarkar
condition. We demonstrate that the new interior solution has well-behaved
physical attributes and can be utilized to model relativistic static fluid
spheres. By using observational data sets for the radii and mass-to-radius
relations for compact stars such as 4U 1538-52, LMC X-4 and PSR J1614- 2230 we
show that our solution describes these objects to a very good degree of
accuracy. The physical plausibility of the solution depends on a parameter $c$
for a particular star. For 4U 1538-52 the solution behaves well for $0.1574 \le
c \le 0.46$ which corresponds to $1 \ge v^2_{r0} \ge 0:13$, $0.91 \ge
v^2_{t0}\ge 0.04$ and $17.8 \ge \Gamma_0 \ge 3.8$. For LMC X-4 the solution
behaves well for $0.1235 \le c \le 0.35$ which corresponds to $0.99 \ge
v^2_{r0} \ge 0.15$, $0.91 \ge v^2_{t0}\ge 0.06$ and $15.35 \ge \Gamma_0 \ge
3.35$. Our model approximates the pulsar PSR J1614-2230 for $0.05 \le c \le
0.13$ which corresponds to $1 \ge v^2_{r0}\ge 0.21$, $0.94 \ge v^2_{t0} \ge
0.13$ and $8.34 \ge \Gamma_0 \ge 2.34$. Our observations of the behavior of the
thermodynamical and physical variables of these compact objects lead us to
conclude that the parameter c plays an important role in determining the
equation of state of the stellar material. It is apparent that smaller values
of c lead to stiffer equation of states and vice-versa.


title: Looking for Lorentz Violation in Short-Range Gravity

abstract:
  General violations of Lorentz symmetry can be described by the Standard-Model
Extension (SME) framework. The SME predicts modifications to existing physics
and can be tested in high-precision experiments. By looking for small
deviations from Newton gravity, short-range gravity experiments are expected to
be sensitive to possible gravitational Lorentz-violation signals. With two
group's short-range gravity data analyzed recently, no nonminimal Lorentz
violation signal is found at the micron distance scale, which gives stringent
constraints on nonminimal Lorentz-violation coefficients in the SME.


title: Viscous Chaplygin Gas Models as a Spherical Top-Hat Collapsing Fluids

abstract:
  We study the spherical top-hat collapse in Einstein gravity and loop quantum
cosmology by taking the non-linear evolution of viscous modified variable
chaplygin gas and viscous generalized cosmic chaplygin gas. We calculate the
equation of state parameter, square speed of sound, perturbed equation of state
parameter, perturbed square speed of sound, density contrast and divergence of
peculiar velocity in perturbed region and discussed their behavior. It is
observed that both chaplygin gas models support the spherical collapse in
Einstein as well as loop quantum cosmology because density contrast remains
positive in both cases and the perturbed equation of state parameter remains
positive at the present epoch as well as near future. It is remarked here that
these parameters provide the consistence results for both chaplygin gas models
in both gravities.


title: An Experimental Survey on Big Data Frameworks

abstract:
  Recently, increasingly large amounts of data are generated from a variety of
sources. Existing data processing technologies are not suitable to cope with
the huge amounts of generated data. Yet, many research works focus on Big Data,
a buzzword referring to the processing of massive volumes of (unstructured)
data. Recently proposed frameworks for Big Data applications help to store,
analyze and process the data. In this paper, we discuss the challenges of Big
Data and we survey existing Big Data frameworks. We also present an
experimental evaluation and a comparative study of the most popular Big Data
frameworks. This survey is concluded with a presentation of best practices
related to the use of the studied frameworks in several application domains
such as machine learning, graph processing and real-world applications.


title:
Strong coupling of magnons in a YIG sphere to photons in a planar
  superconducting resonator in the quantum limit

abstract:
  We report measurements of a superconducting coplanar waveguide resonator
(CPWR) coupled to a sphere of yttrium-iron garnet. The non-uniform CPWR field
allows us to excite various magnon modes in the sphere. Mode frequencies and
relative coupling strengths are consistent with theory. Strong coupling is
observed to several modes even with, on average, less than one excitation
present in the CPWR. The time response to square pulses shows oscillations at
the mode splitting frequency. These results indicate the feasibility of
combining magnonic and planar superconducting quantum devices.


title: Ontology Verbalization using Semantic-Refinement

abstract:
  We propose a rule-based technique to generate redundancy-free NL descriptions
of OWL entities.The existing approaches which address the problem of
verbalizing OWL ontologies generate NL text segments which are close to their
counterpart OWL statements.Some of these approaches also perform grouping and
aggregating of these NL text segments to generate a more fluent and
comprehensive form of the content.Restricting our attention to description of
individuals and concepts, we find that the approach currently followed in the
available tools is that of determining the set of all logical conditions that
are satisfied by the given individual/concept name and translate these
conditions verbatim into corresponding NL descriptions.Human-understandability
of such descriptions is affected by the presence of repetitions and
redundancies, as they have high fidelity to their OWL representation.In the
literature, no efforts had been taken to remove redundancies and repetitions at
the logical-level before generating the NL descriptions of entities and we find
this to be the main reason for lack of readability of the generated
text.Herein, we propose a technique called semantic-refinement(SR) to generate
meaningful and easily-understandable descriptions of individuals and concepts
of a given OWLontology.We identify the combinations of OWL/DL constructs that
lead to repetitive/redundant descriptions and propose a series of refinement
rules to rewrite the conditions that are satisfied by an individual/concept in
a meaning-preserving manner.The reduced set of conditions are then employed for
generating NL descriptions.Our experiments show that, SR leads to significantly
improved descriptions of ontology entities.We also test the effectiveness and
usefulness of the the generated descriptions for the purpose of validating the
ontologies and find that the proposed technique is indeed helpful in the
context.


title: Stability of perpetuities in Markovian environment

abstract:
  The stability of iterations of affine linear maps $\Psi_{n}(x)=A_{n}x+B_{n}$,
$n=1,2,\ldots$, is studied in the presence of a Markovian environment, more
precisely, for the situation when $(A_{n},B_{n})_{n\ge 1}$ is modulated by an
ergodic Markov chain $(M_{n})_{n\ge 0}$ with countable state space
$\mathcal{S}$ and stationary distribution $\pi$. We provide necessary and
sufficient conditions for the a.s. and the distributional convergence of the
backward iterations $\Psi_{1}\circ\ldots\circ\Psi_{n}(Z_{0})$ and also describe
all possible limit laws as solutions to a certain Markovian stochastic
fixed-point equation. As a consequence of the random environment, these limit
laws are stochastic kernels from $\mathcal{S}$ to $\mathbb{R}$ rather than
distributions on $\mathbb{R}$, thus reflecting their dependence on where the
driving chain is started. We give also necessary and sufficient conditions for
the distributional convergence of the forward iterations
$\Psi_{n}\circ\ldots\circ\Psi_{1}$. The main differences caused by the
Markovian environment as opposed to the extensively studied case of independent
and identically distributed (iid) $\Psi_{1},\Psi_{2},\ldots$ are that: (1)
backward iterations may still converge in distribution, if a.s. convergence
fails, (2) the degenerate case when $A_{1}c_{M_{1}}+B_{1}=c_{M_{0}}$ a.s. for
suitable constants $c_{i}$, $i\in\mathcal{S}$, is by far more complex than the
degenerate case for iid $(A_{n},B_{n})$ when $A_{1}c+B_{1}=c$ a.s. for some
$c\in\mathbb{R}$, and (3) forward and backward iterations generally have
different laws given $M_{0}=i$ for $i\in\mathcal{S}$ so that the former ones
need a separate analysis. Our proofs draw on related results for the iid-case,
notably by Vervaat, Grincevi\v{c}ius, and Goldie and Maller, in combination
with recent results by the authors on fluctuation theory for Markov random
walks.


title:
Search for long-living topological solutions of nonlinear $\varphi^4$
  field theory

abstract:
  We look for long-living topological solutions of classical nonlinear $(1+1)-$
dimensional $\varphi^4$ field theory. To that effect we use the well-known
cut-and-match method. In this framework, new long-living states are obtained in
both topological sectors. In particular, in one case a highly excited state of
a kink is found. We discover several ways of energy reset. In addition to the
expected emission wave packets (with small amplitude), for some selected
initial conditions the production of kink-antikink pairs results in a large
energy reset. Also, the topological number of a kink in the central region
changes in the contrast of saving full topological number. At lower excitation
energies there is a long-living excited vibrational state of the kink; this
phenomenon is the final stage of all considered initial states. Over time this
excited state of the kink changes to a well-known linearized solution - a
discrete kink excitation mode. This method yields a qualitatively new way to
describe the large-amplitude bion, which was detected earlier in the
kink-scattering processes in the nontopological sector.


title:
The One-Mode Quantum-Limited Gaussian Attenuator and Amplifier Have
  Gaussian Maximizers

abstract:
  We determine the p->q norms of the Gaussian one-mode quantum-limited
attenuator and amplifier and prove that they are achieved by Gaussian states,
extending to noncommutative probability the seminal theorem "Gaussian kernels
have only Gaussian maximizers" (Lieb in Invent Math 102(1):179-208, 1990). The
quantum-limited attenuator and amplifier are the building blocks of quantum
Gaussian channels, which play a key role in quantum communication theory since
they model in the quantum regime the attenuation and the noise affecting any
electromagnetic signal. Our result is crucial to prove the longstanding
conjecture stating that Gaussian input states minimize the output entropy of
one-mode phase-covariant quantum Gaussian channels for fixed input entropy. Our
proof technique is based on a new noncommutative logarithmic Sobolev
inequality, and it can be used to determine the p->q norms of any quantum
semigroup.


title:
Thermodynamic Integration Methods, Infinite Swapping and the Calculation
  of Generalized Averages

abstract:
  In the present paper we examine the risk-sensitive and sampling issues
associated with the problem of calculating generalized averages. By combining
thermodynamic integration and Stationary Phase Monte Carlo techniques, we
develop an approach for such problems and explore its utility for a
prototypical class of applications.


title:
Effect of flexural phonons on the hole states in single-layer black
  phosphorus

abstract:
  Flexural thermal fluctuations in crystalline membranes affect the band
structure of the carriers, which leads to an exponential density-of-states
(DOS) tail beyond the unperturbed band edge. We present a theoretical
description of this tail for a particular case of holes in single-layer black
phosphorus, a material which exhibits an extremely anisotropic
quasi-one-dimensional dispersion ($m_y/m_x\gg1$) and, as a result, an enhanced
Van Hove singularity at the valence band top. The material parameters are
determined by {\it ab initio} calculations and then are used for quantitative
estimation of the effect of two-phonon (flexural) processes have on the charge
carrier DOS. It is shown that unlike the isotropic case, the physics is
determined by the phonons with wavevectors of the order of $q^*$, where $q^*$
determines the crossover between harmonic and anharmonic behavior of the
flexural phonons. The spectral density of the holes in single-layer black
phosphorus at finite temperatures is calculated.


title:
Gaussian states minimize the output entropy of one-mode quantum Gaussian
  channels

abstract:
  We prove the longstanding conjecture stating that Gaussian thermal input
states minimize the output von Neumann entropy of one-mode phase-covariant
quantum Gaussian channels among all the input states with a given entropy.
Phase-covariant quantum Gaussian channels model the attenuation and the noise
that affect any electromagnetic signal in the quantum regime. Our result is
crucial to prove the converse theorems for both the triple trade-off region and
the capacity region for broadcast communication of the Gaussian quantum-limited
amplifier. Our result extends to the quantum regime the Entropy Power
Inequality that plays a key role in classical information theory. Our proof
exploits a completely new technique based on the recent determination of the
p->q norms of the quantum-limited amplifier [De Palma et al.,
arXiv:1610.09967]. This technique can be applied to any quantum channel.

categories: quant-ph cs.IT math-ph math.IT math.MP math.PR


title: Complementarity Between Hyperkamiokande and DUNE

abstract:
  In this talk we present our results on the sensitivity to the neutrino mass
hierarchy, the octant of the mixing angle and the CP phase in the future long
baseline experiments T2HK and DUNE as well as in the atmospheric neutrino
observation at Hyperkamiokande (HK).


title:
An extrapolative approach to integration over hypersurfaces in the level
  set framework

abstract:
  We provide a new approach for computing integrals over hypersurfaces in the
level set framework. The method is based on the discretization (via simple
Riemann sums) of the classical formulation used in the level set framework,
with the choice of specific kernels supported on a tubular neighborhood around
the interface to approximate the Dirac delta function. The novelty lies in the
choice of kernels, specifically its number of vanishing moments, which enables
accurate computations of integrals over a class of closed, continuous,
piecewise smooth, curves or surfaces; e.g. curves in two dimensions that
contain finite number of corners. We prove that for smooth interfaces, if the
kernel has enough vanishing moments (related to the dimension of the embedding
space), the analytical integral formulation coincides exactly with the integral
one wishes to calculate. For curves with corners and cusps, the formulation is
not exact but we provide an analytical result relating the severity of the
corner or cusp with the width of the tubular neighborhood. We show numerical
examples demonstrating the capability of the approach, especially for
integrating over piecewise smooth interfaces and for computing integrals where
the integrand is only Lipschitz continuous or has an integrable singularity.


title: Nuclear and Quark Matter at High Temperature

abstract:
  We review important ideas on nuclear and quark matter description on the
basis of high- temperature field theory concepts, like resummation, dimensional
reduction, interaction scale separation and spectral function modification in
media. Statistical and thermodynamical concepts are spotted in the light of
these methods concentrating on the - partially still open - problems of the
hadronization process.


title:
A review on application of data mining techniques to combat natural
  disasters

abstract:
  Thousands of human lives are lost every year around the globe, apart from
significant damage on property, animal life, etc., due to natural disasters
(e.g., earthquake, flood, tsunami, hurricane and other storms, landslides,
cloudburst, heat wave, forest fire). In this paper, we focus on reviewing the
application of data mining and analytical techniques designed so far for (i)
prediction, (ii) detection, and (iii) development of appropriate disaster
management strategy based on the collected data from disasters. A detailed
description of availability of data from geological observatories
(seismological, hydrological), satellites, remote sensing and newer sources
like social networking sites as twitter is presented. An extensive and in-depth
literature study on current techniques for disaster prediction, detection and
management has been done and the results are summarized according to various
types of disasters. Finally a framework for building a disaster management
database for India hosted on open source Big Data platform like Hadoop in a
phased manner has been proposed. The study has special focus on India which
ranks among top five counties in terms of absolute number of the loss of human
life.


title:
Neural Speech Recognizer: Acoustic-to-Word LSTM Model for Large
  Vocabulary Speech Recognition

abstract:
  We present results that show it is possible to build a competitive, greatly
simplified, large vocabulary continuous speech recognition system with whole
words as acoustic units. We model the output vocabulary of about 100,000 words
directly using deep bi-directional LSTM RNNs with CTC loss. The model is
trained on 125,000 hours of semi-supervised acoustic training data, which
enables us to alleviate the data sparsity problem for word models. We show that
the CTC word models work very well as an end-to-end all-neural speech
recognition model without the use of traditional context-dependent sub-word
phone units that require a pronunciation lexicon, and without any language
model removing the need to decode. We demonstrate that the CTC word models
perform better than a strong, more complex, state-of-the-art baseline with
sub-word units.


title:
Efficient Empirical Revenue Maximization in Single-Parameter Auction
  Environments

abstract:
  We present a polynomial-time algorithm that, given samples from the unknown
valuation distribution of each bidder, learns an auction that approximately
maximizes the auctioneer's revenue in a variety of single-parameter auction
environments including matroid environments, position environments, and the
public project environment. The valuation distributions may be arbitrary
bounded distributions (in particular, they may be irregular, and may differ for
the various bidders), thus resolving a problem left open by previous papers.
The analysis uses basic tools, is performed in its entirety in value-space, and
simplifies the analysis of previously known results for special cases.
Furthermore, the analysis extends to certain single-parameter auction
environments where precise revenue maximization is known to be intractable,
such as knapsack environments.


title:
Will atmospheric neutrino experiment at Hyper-Kamiokande see
  non-standard interaction effects?

abstract:
  In this talk we discuss the possibility to test the hypothesis, which has
been proposed to explain the tension between the mass-squared differences of
the solar neutrino and KamLAND experiments by the non-standard flavor-dependent
interaction in neutrino propagation, with the atmospheric neutrino observations
at the future Hyper-Kamiokande experiment.


title:
Measurement of jet activity produced in top-quark events with an
  electron, a muon and two $b$-tagged jets in the final state in $pp$
  collisions at $\sqrt{s}=13$ TeV with the ATLAS detector

abstract:
  Measurements of jet activity in top-quark pair events produced in
proton--proton collisions are presented, using 3.2 fb$^{-1}$ of $pp$ collision
data at a centre-of-mass energy of 13 TeV collected by the ATLAS experiment at
the Large Hadron Collider. Events are chosen by requiring an opposite-charge
$e\mu$ pair and two $b$-tagged jets in the final state. The normalised
differential cross-sections of top-quark pair production are presented as
functions of additional-jet multiplicity and transverse momentum, $p_{\mathrm
T}$. The fraction of signal events that do not contain additional jet activity
in a given rapidity region, the gap fraction, is measured as a function of the
$p_{\mathrm T}$ threshold for additional jets, and is also presented for
different invariant mass regions of the $e\mu b\bar{b}$ system. All
measurements are corrected for detector effects and presented as particle-level
distributions compared to predictions with different theoretical approaches for
QCD radiation. While the kinematics of the jets from top-quark decays are
described well, the generators show differing levels of agreement with the
measurements of observables that depend on the production of additional jets.


title:
Roberge-Weiss transition in $N_f=2$ QCD with staggered fermions and
  $N_\tau=6$

abstract:
  The QCD phase diagram at imaginary chemical potential exhibits a rich
structure and studying it can constrain the phase diagram at real values of the
chemical potential. Moreover, at imaginary chemical potential standard
numerical techniques based on importance sampling can be applied, since no sign
problem is present. In the last decade, a first understanding of the QCD phase
diagram at purely imaginary chemical potential has been developed, but most of
it is so far based on investigations on coarse lattices ($N_\tau=4$,
$a=0.3\:$fm). Considering the $N_f=2$ case, at the Roberge-Weiss critical value
of the imaginary chemical potential, the chiral/deconfinement transition is
first order for light/heavy quark masses and second order for intermediate
values of the mass: there are then two tricritical masses, whose position
strongly depends on the lattice spacing and on the discretization. On
$N_\tau=4$, we have the chiral $m_\pi^{\text{tric.}}=400\:$MeV with unimproved
staggered fermions and $m_\pi^{\text{tric.}}\gtrsim900\:$MeV with unimproved
pure Wilson fermions. Employing finite size scaling we investigate the change
of this tricritical point between $N_\tau=4$ and $N_\tau=6$ as well as between
Wilson and staggered discretizations.


title:
Noiseless quantum measurement and squeezing of microwave fields
  utilizing mechanical vibrations

abstract:
  A process which strongly amplifies both quadrature amplitudes of an
oscillatory signal necessarily adds noise. Alternatively, if the information in
one quadrature is lost in phase-sensitive amplification, it is possible to
completely reconstruct the other quadrature. Here we demonstrate such a nearly
perfect phase-sensitive measurement using a cavity optomechanical scheme,
characterized by an extremely small noise less than 0.2 quanta. We also observe
microwave radiation strongly squeezed by 8 dB below vacuum. A source of bright
squeezed microwaves opens up applications in manipulations of quantum systems,
and noiseless amplification can be used even at modest cryogenic temperatures.


title: Susceptibilities from a black hole engineered EoS with a critical point

abstract:
  Currently at the Beam Energy Scan at RHIC experimental efforts are being made
to find the QCD critical point. On the theoretical side, the behavior of
higher-order susceptibilities of the net-baryon charge from Lattice QCD at
$\mu_{_B}\!=\!0$ may allow us to estimate the position of the critical point in
the QCD phase diagram. However, even if the series expansion continues to
higher-orders, there is always the possibility to miss the critical point
behavior due to truncation errors. An alternative approach is to use a black
hole engineered holographic model, which displays a critical point at large
densities and matches lattice susceptibilities at $\mu_{_B}\!=\!0$. Using the
thermodynamic data from this black hole model, we obtain the freeze-out points
extracted from the net-protons distribution measured at STAR and explore higher
order fluctuations at the lowest energies at the beam energy scan to
investigate signatures of the critical point.


title:
Sentiment Analysis of Review Datasets Using Naive Bayes and K-NN
  Classifier

abstract:
  The advent of Web 2.0 has led to an increase in the amount of sentimental
content available in the Web. Such content is often found in social media web
sites in the form of movie or product reviews, user comments, testimonials,
messages in discussion forums etc. Timely discovery of the sentimental or
opinionated web content has a number of advantages, the most important of all
being monetization. Understanding of the sentiments of human masses towards
different entities and products enables better services for contextual
advertisements, recommendation systems and analysis of market trends. The focus
of our project is sentiment focussed web crawling framework to facilitate the
quick discovery of sentimental contents of movie reviews and hotel reviews and
analysis of the same. We use statistical methods to capture elements of
subjective style and the sentence polarity. The paper elaborately discusses two
supervised machine learning algorithms: K-Nearest Neighbour(K-NN) and Naive
Bayes and compares their overall accuracy, precisions as well as recall values.
It was seen that in case of movie reviews Naive Bayes gave far better results
than K-NN but for hotel reviews these algorithms gave lesser, almost same
accuracies.