title:
A practical factorization of a Schur complement for PDE-constrained
  Distributed Optimal Control

abstract:
  A distributed optimal control problem with the constraint of a linear
elliptic partial differential equation is considered. A necessary optimality
condition for this problem forms a saddle point system, the efficient and
accurate solution of which is crucial. A new factorization of the Schur
complement for such a system is proposed and its characteristics discussed. The
factorization introduces two complex factors that are complex conjugate to each
other. The proposed solution methodology involves the application of a parallel
linear domain decomposition solver---FETI-DPH---for the solution of the
subproblems with the complex factors. Numerical properties of FETI-DPH in this
context are demonstrated, including numerical and parallel scalability and
regularization dependence. The new factorization can be used to solve Schur
complement systems arising in both range-space and full-space formulations. In
both cases, numerical results indicate that the complex factorization is
promising.


title: Finitely presented groups associated with expanding maps

abstract:
  We associate with every locally expanding self-covering $f:M\to M$ of a
compact path connected metric space a finitely presented group $V_f$. We prove
that this group is a complete invariant of the dynamical system: two groups
$V_{f_1}$ and $V_{f_2}$ are isomorphic as abstract groups if and only if the
corresponding dynamical systems are topologically conjugate. We also show that
the commutator subgroup of $V_f$ is simple, and give a topological
interpretation of $V_f/V_f'$.


title: The Fujiki class and positive degree maps

abstract:
  We show that a map between complex-analytic manifolds, at least one of which
is in the Fujiki class, is a biholomorphism under a natural condition on the
second cohomologies. We use this to establish that, with mild restrictions, a
certain relation of "domination" introduced by Gromov is in fact a partial
order.


title: Wedge locality and asymptotic commutativity

abstract:
  In this paper, we study twist deformed quantum field theories obtained by
combining the Wightman axiomatic approach with the idea of spacetime
noncommutativity. We prove that the deformed fields with deformation parameters
of opposite sign satisfy the condition of mutual asymptotic commutativity,
which was used earlier in nonlocal quantum field theory as a substitute for
relative locality. We also present an improved proof of the wedge localization
property discovered for the deformed fields by Grosse and Lechner, and we show
that the deformation leaves the asymptotic behavior of the vacuum expectation
values in spacelike directions substantially unchanged.


title:
A Mathematical Programming Approach to the Fractionation Problem in
  Chemoradiotherapy

abstract:
  In concurrent chemoradiotherapy, chemotherapeutic agents are administered
during the course of radiotherapy to enhance the primary tumor control.
However, that often comes at the expense of increased risk of normal-tissue
complications. The additional biological damage is mainly attributed to two
mechanisms of action, which are the independent cytotoxic activity of
chemotherapeutic agents and their interactive cooperation with radiation. The
goal of this study is to develop a mathematical framework to obtain drug and
radiation administration schedules that maximize the therapeutic gain for
concurrent chemoradiotherapy. In particular, we analyze the impact of
incorporating these two mechanisms into the radiation fractionation problem.
Considering each mechanism individually, we first derive closed-form
expressions for the optimal radiation fractionation regimen and the
corresponding drug administration schedule. We next study the case in which
both mechanisms are simultaneously present and develop a dynamic programming
framework to determine optimal treatment regimens. Results show that those
chemotherapeutic agents that interact with radiation may change optimal
radiation fractionation regimens. Moreover, administration of chemotherapeutic
agents possessing both mechanisms may give rise to optimal non-stationary
radiation fractionation schemes.


title:
A shrinkage-thresholding Metropolis adjusted Langevin algorithm for
  Bayesian variable selection

abstract:
  This paper introduces a new Markov Chain Monte Carlo method for Bayesian
variable selection in high dimensional settings. The algorithm is a
Hastings-Metropolis sampler with a proposal mechanism which combines a
Metropolis Adjusted Langevin (MALA) step to propose local moves associated with
a shrinkage-thresholding step allowing to propose new models. The geometric
ergodicity of this new trans-dimensional Markov Chain Monte Carlo sampler is
established. An extensive numerical experiment, on simulated and real data, is
presented to illustrate the performance of the proposed algorithm in comparison
with some more classical trans-dimensional algorithms.


title: On Moduli Spaces in $\bf{AdS_4}$ Supergravity

abstract:
  We study the structure of the supersymmetric moduli spaces of ${\cal N}=1$
and ${\cal N}=2$ supergravity theories in $AdS_4$ backgrounds. In the ${\cal
N}=1$ case, the moduli space cannot be a complex submanifold of the K\"ahler
field space, but is instead real with respect to the inherited complex
structure. In ${\cal N}=2$ supergravity the same result holds for the vector
multiplet moduli space, while the hypermultiplet moduli space is a K\"ahler
submanifold of the quaternionic-K\"ahler field space. These findings are in
agreement with AdS/CFT considerations.


title:
Capital distribution and portfolio performance in the mean-field Atlas
  model

abstract:
  We study a mean-field version of rank-based models of equity markets such as
the Atlas model introduced by Fernholz in the framework of Stochastic Portfolio
Theory. We obtain an asymptotic description of the market when the number of
companies grows to infinity. Then, we discuss the long-term capital
distribution. We recover the Pareto-like shape of capital distribution curves
usually derived from empirical studies, and provide a new description of the
phase transition phenomenon observed by Chatterjee and Pal. Finally, we address
the performance of simple portfolio rules and highlight the influence of the
volatility structure on the growth of portfolios.


title:
Exponential transform of quadratic functional and multiplicative
  ergodicity of a Gauss-Markov process

abstract:
  The Laplace transform of partial sums of the square of a non-centered
Gauss-Markov process, conditioning on its starting point, is explicitly
computed. The parameters of multiplicative ergodicity are deduced.


title:
The inverse mean curvature flow in warped cylinders of non-positive
  radial curvature

abstract:
  We consider the inverse mean curvature flow in smooth Riemannian manifolds of
the form $([R_{0},\infty)\times S^n,\bar{g})$ with metric
$\bar{g}=dr^2+{\vartheta}^2(r){\sigma}$ and non-positive radial sectional
curvature. We prove, that for initial mean-convex graphs over $S^n$ the flow
exists for all times and remains a graph over $S^{n}$. Under weak further
assumptions on the ambient manifold, we prove optimal decay of the gradient and
that the flow leaves become umbilic exponentially fast. We prove optimal $C^2$
estimates in case that the ambient pinching improves.


title: k-Sparse Autoencoders

abstract:
  Recently, it has been observed that when representations are learnt in a way
that encourages sparsity, improved performance is obtained on classification
tasks. These methods involve combinations of activation functions, sampling
steps and different kinds of penalties. To investigate the effectiveness of
sparsity by itself, we propose the k-sparse autoencoder, which is an
autoencoder with linear activation function, where in hidden layers only the k
highest activities are kept. When applied to the MNIST and NORB datasets, we
find that this method achieves better classification results than denoising
autoencoders, networks trained with dropout, and RBMs. k-sparse autoencoders
are simple to train and the encoding stage is very fast, making them
well-suited to large problem sizes, where conventional sparse coding algorithms
cannot be applied.


title: Supersymmetry with a pNGB Higgs and Partial Compositeness

abstract:
  We study the consequences of combining SUSY with a pseudo Nambu-Goldstone
boson Higgs coming from an SO(5)/SO(4) coset and partial compositeness. In
particular, we focus on how electroweak symmetry breaking and the Higgs mass
are reproduced in models where the symmetry SO(5) is linearly realized. The
global symmetry forbids tree-level contributions to the Higgs potential coming
from D-terms, differently from what happens in most of the SUSY little-Higgs
constructions. While the stops are generally heavy, light fermion top partners
below 1 TeV are predicted. In contrast to what happens in non-SUSY composite
Higgs models, they are necessary to reproduce the correct top, rather than
Higgs, mass. En passant, we point out that, independently of SUSY, models where
tR is fully composite and embedded in the 5 of SO(5) generally predict a too
light Higgs.


title:
Implementing a Quantum CNOT and Quantum Memory Using a Quantum-Dot
  Cellular Automata Array

abstract:
  In this work, we develop a method to use Quantum- Dot Cellular Automata (QCA)
for universal quantum computing. This method is based conceptually on
refocusing in NMR systems. We show how an array of QCA cells can be used for
isolated single qubit, as well as multi-qubit operations, such as the CNOT, by
dividing the cells into active and passive sets such that the active cells
undergo the transform while passive cells hold their quantum states. The same
technique is used for developing a multi-qubit quantum memory. The effect of
imperfect control parameters is discussed and the total time for a typical
quantum operation is given. Using this approach, different quantum gates are
implemented using pulse sequences applied to the QCA cells via control fields
and potentials, while the layout remains the same.


title: NLO QCD corrections to WWbb production and top quark observables

abstract:
  We present the NLO QCD corrections to the production of a W+W- pair and two
b-jets, including the leptonic decays of the W bosons. Contributions from
singly resonant and non-resonant top quarks are fully taken into account. We
also discuss observables relevant for top quark mass measurements and top quark
asymmetries.


title: A Framework for Self-Tuning Optimization Algorithm

abstract:
  The performance of any algorithm will largely depend on the setting of its
algorithm-dependent parameters. The optimal setting should allow the algorithm
to achieve the best performance for solving a range of optimization problems.
However, such parameter-tuning itself is a tough optimization problem. In this
paper, we present a framework for self-tuning algorithms so that an algorithm
to be tuned can be used to tune the algorithm itself. Using the firefly
algorithm as an example, we show that this framework works well. It is also
found that different parameters may have different sensitivities, and thus
require different degrees of tuning. Parameters with high sensitivities require
fine-tuning to achieve optimality.


title:
Free symmetric and unitary pairs in division rings infinite-dimensional
  over their centers

abstract:
  Let $D$ be a division ring infinite-dimensional over its center $k$ with
multiplicative group $D^{\times}$. We show that if $D$ belongs to certain
families, there exist free symmetric and unitary pairs in $D^{\times}$ with
respect to a $k$-involution on $D$.


title: A self-referenced single-electron quantized-current source

abstract:
  With the anticipated redefinition of the international system of units (SI)
the base units will be linked to fundamental constants of nature [1]. As for
the electrical base unit "Ampere", it will be linked to the elementary charge
e, requiring a corresponding quantum standard [2, 3]. Many concepts for such a
standard have been investigated [4-14] relying on controlling the
time-dependent tunnelling of electrons. However, the stochastic nature of
quantum mechanical tunnelling intrinsically evokes uncontrolled deviations from
the nominally quantized current. Alternatively, the counting of electrons [15,
16] has been explored but is severely limited in current amplitude and
uncertainty by the low detector bandwidth. The late M. Wulf proposed [17] that
this fundamental problem of electrical quantum metrology could be overcome by
combining serial single-electron pumps with charge detectors allowing the
generation of a quantized current and the in-situ detection of its stochastic
deviations. Here, we experimentally demonstrate such quantized-current
generation with in-situ detection of tunnelling errors at low frequencies and a
reduction of the total current uncertainty by more than one order of magnitude.
After frequency scaling this should enable a validated primary standard for the
redefined SI base unit Ampere.


title: The availability of research data declines rapidly with article age

abstract:
  Policies ensuring that research data are available on public archives are
increasingly being implemented at the government [1], funding agency [2-4], and
journal [5,6] level. These policies are predicated on the idea that authors are
poor stewards of their data, particularly over the long term [7], and indeed
many studies have found that authors are often unable or unwilling to share
their data [8-11]. However, there are no systematic estimates of how the
availability of research data changes with time since publication. We therefore
requested datasets from a relatively homogenous set of 516 articles published
between 2 and 22 years ago, and found that availability of the data was
strongly affected by article age. For papers where the authors gave the status
of their data, the odds of a dataset being extant fell by 17% per year. In
addition, the odds that we could find a working email address for the first,
last or corresponding author fell by 7% per year. Our results reinforce the
notion that, in the long term, research data cannot be reliably preserved by
individual researchers, and further demonstrate the urgent need for policies
mandating data sharing via public archives.


title: Free nested cumulants and an analogue of a formula of Brillinger

abstract:
  We prove a free analogue of Brillinger's formula (sometimes called "law of
total cumulance") which expresses classical cumulants in terms of conditioned
cumulants. As expected, the formula is obtained by replacing the lattice of set
partitions by the lattice of noncrossing set partitions and using and an
appropriate notion of noncommutative nested products. As an application we
reprove a characterization of freeness due to Nica, Shlyakhtenko and Speicher
by M\"obius inversion techniques, without recourse to the Fock space model for
free random variables.


title: Higgs Physics

abstract:
  These lectures review the background to Higgs physics, its current status
following the discovery of a/the Higgs boson at the LHC, models of Higgs
physics beyond the Standard Model and prospects for Higgs studies in future
runs of the LHC and at possible future colliders.


title: Flower Pollination Algorithm for Global Optimization

abstract:
  Flower pollination is an intriguing process in the natural world. Its
evolutionary characteristics can be used to design new optimization algorithms.
In this paper, we propose a new algorithm, namely, flower pollination
algorithm, inspired by the pollination process of flowers. We first use ten
test functions to validate the new algorithm, and compare its performance with
genetic algorithms and particle swarm optimization. Our simulation results show
the flower algorithm is more efficient than both GA and PSO. We also use the
flower algorithm to solve a nonlinear design benchmark, which shows the
convergence rate is almost exponential.


title:
Renormalization of quantum field theory on curved space-times, a causal
  approach

abstract:
  The subject of the thesis is the construction of a perturbative quantum
theory of interacting fields on a curved space-time, following a point of view
pioneered by Stueckelberg and Bogoliubov and developed by Epstein-Glaser on the
flat Minkowski space-time. In 2000, a breakthrough was done by Brunetti and
Fredenhagen who were able to extend the Epstein-Glaser theory by exploiting the
point of view developed by Radzikowski to define quantum states on a curved
space-time in terms of wave-front sets. These results were further extended by
Fredenhagen, Brunetti, Hollands, Wald, Rejzner, etc. to Yang-Mills fields and
the gravitation. However, even for theories without gauge invariance, many
mathematical details were left unexplored and unquestioned. Our task was
precisely to derive fully rigorously this theory in the case there is no gauge
invariance. We propose in our work a complete review of the result, solving
numerous questions, adding many new results around this program and,
eventually, giving more precise details on the counterterms and ambiguities in
the renormalization process, and a deeper understanding of the geometry of the
wave front set of the n-point functions.


title: Stacks of uniform cyclic covers of curves and their Picard groups

abstract:
  We study the stack B_{h,g,n} of uniform cyclic covers of degree n between
smooth curves of genus h and g and, for h >> g, present it as an open substack
of a vector bundle over the universal Jacobian stack of M_g. We use this
description to compute the integral Picard group of B_{h,g,n}, showing that it
is generated by tautological classes of B_{h,g,n}.


title: Derived functors of the divided power functors

abstract: Some minor changes to the exposition.


title:
On the accuracy and stability of algorithms most commonly used in the
  evaluation of Chebyshev polynomials of the first kind

abstract:
  This paper provides error analyses of the algorithms most commonly used for
the evaluation of the Chebyshev polynomial of the first kind $T_N(x)$. Some of
these algorithms are shown to be backward stable. This means that the computed
value of $T_N(x)$ in floating point arithmetic by these algorithms can be
interpreted as a slightly perturbed value of polynomial $T_N$, for slightly
perturbed value of $x$.


title:
A predator-prey SIR type dynamics on large complete graphs with three
  phase transitions

abstract:
  We are interested in a variation of the SIR (Susceptible/Infected/Recovered)
dynamics on the complete graph, in which infected individuals may only spread
to neighboring susceptible individuals at fixed rate $\lambda>0$ while
recovered individuals may only spread to neighboring infected individuals at
fixed rate $1$. This is also a variant of the so-called chase-escape process
introduced by Kordzakhia and then Bordenave & Ganesan. Our work is the first
study of this dynamics on complete graphs. Starting with one infected and one
recovered individuals on the complete graph with $N+2$ vertices, and stopping
the process when one type of individuals disappears, we study the asymptotic
behavior of the probability that the infection spreads to the whole graph as
$N\rightarrow\infty$ and show that for $\lambda\in (0,1)$ (resp. for
$\lambda>1$), the infection dies out (resp. does not die out) with probability
tending to one as $N\rightarrow\infty$, and that the probability that the
infection dies out tends to $1/2$ for $\lambda=1$. We also establish limit
theorems concerning the asymptotic state of the system in all regimes and show
that two additional phase transitions occur in the subcritical phase
$\lambda\in (0,1)$: at $\lambda=1/2$ the behavior of the expected number of
remaining infected individuals changes, while at $\lambda=(\sqrt {5}-1)/2$ the
behavior of the expected number of remaining recovered individuals changes. We
also study the outbreak sizes of the infection, and show that the outbreak
sizes are small if $\lambda \in(0,1/2]$, exhibit a power-law behavior for
$1/2<\lambda<1$, and are pandemic for $\lambda\geq 1$. Our method relies on
different couplings: we first couple the dynamics with two independent Yule
processes by using an Athreya-Karlin embedding, and then we couple the Yule
processes with Poisson processes thanks to Kendall's representation of Yule
processes.


title:
Light-cone gauge approach to arbitrary spin fields, currents, and
  shadows

abstract:
  Totally symmetric arbitrary spin fields in AdS space, conformal fields,
conformal currents, and shadow fields in flat space are studied. Light-cone
formulation for such fields, currents, and shadows is obtained. Use of the
Poincare parametrization of AdS space allows us to treat fields in flat and AdS
spaces on equal footing. Light-cone gauge realization of relativistic
symmetries for fields, currents, and shadows is also obtained. The light-cone
formulation for fields is obtained by using the gauge invariant Lagrangian
which is presented in terms of the modified de Donder divergence, while the
light-cone formulation for currents and shadows is obtained by using gauge
invariant approach to currents and shadows. This allows us to demonstrate
explicitly how ladder operators entering the gauge invariant formulation of
fields, currents, and shadows manifest themselves in the light-cone formulation
for fields, currents, and shadows.


title: Backreaction mechanism in multifluid and extended cosmologies

abstract:
  One possible explanation for the present observed acceleration of the
Universe is the breakdown of homogeneity and isotropy due to the formation of
non-linear structures. How inhomogeneities affect the averaged cosmological
expansion rate and lead to late-time acceleration is generally considered to be
due to some backreaction mechanism. General Relativity together with
pressure-free matter have until recently been considered as the sole
ingredients for averaged calculations. In this communication we focus our
attention on more general scenarios, including imperfect fluids as well as
alternative theories of gravity, and apply an averaging procedure to them in
order to determine possible backreaction effects. For illustrative purposes, we
present our results for dark energy models, quintessence and Brans-Dicke
theories. We also provide a discussion about the limitations of frame choices
in the averaging procedure.


title: On local convergence of the method of alternating projections

abstract:
  The method of alternating projections is a classical tool to solve
feasibility problems. Here we prove local convergence of alternating
projections between subanalytic sets $A,B$ under a mild regularity hypothesis
on one of the sets. We show that the speed of convergence is O$(k^{-\rho})$ for
some $\rho\in (0,\infty)$.


title:
Exact results for the entanglement entropy and the energy radiated by a
  quark

abstract:
  We consider a spherical region with a heavy quark in the middle. We compute
the extra entanglement entropy due to the presence of a heavy quark both in
${\cal N}=4 $ Super Yang Mills and in the ${\cal N}=6$ Chern-Simons matter
theory (ABJM). This is done by relating the computation to the expectation
value of a circular Wilson loop and a stress tensor insertion. We also give an
exact expression for the Bremsstrahlung function that determines the energy
radiated by a quark in the ABJM theory.


title:
Unifying "soft" and "hard" diffractive exclusive vector meson production
  and deeply virtual Compton scattering

abstract:
  A Pomeron model applicable to both "`soft" and "hard" processes is suggested
and tested against the high-energy data from virtual photon-induced reactions.
The Pomeron is universal, containing two terms, a "soft" and a "hard" one,
whose relative weight varies with $\widetilde {Q^2}=Q^2+M_V^2$, where $Q^2$ is
the virtuality of the incoming photon and $M_V$ is the mass of the produced
vector particle. With a small number of adjustable parameters, the model fits
all available data on vector meson production and deeply virtual Compton
scattering from HERA. Furthermore, we attempt to apply the model to
hadron-induced reactions, by using high-energy data from proton-proton
scattering.


title: Continuum-Discretized Coupled-Channels calculations with core excitation

abstract:
  The effect of core excitation in the elastic scattering and breakup of a
two-body halo nucleus on a stable target nucleus is studied. The structure of
the weakly-bound projectile is described in the weak-coupling limit, assuming a
particle-rotor model. The eigenfunctions and the associated eigenvalues are
obtained by diagonalizing this Hamiltonian in a square-integrable basis
(pseudo-states). For the radial coordinate between the particle and the core, a
transformed harmonic oscillator (THO) basis is used. For the reaction dynamics,
an extension of the Continuum-Discretized Coupled-Channels (CDCC) method, which
takes into account dynamic core excitation and deexcitation due to the presence
of non-central parts in the core-target interaction, is adapted to be used
along with a pseudo-states (PS) basis.


title: Ab Initio Path to Heavy Nuclei

abstract:
  We present the first ab initio calculations of nuclear ground states up into
the domain of heavy nuclei, spanning the range from 16-O to 132-Sn based on
two- plus three-nucleon interactions derived within chiral effective field
theory. We employ the similarity renormalization group for preparing the
Hamiltonian and use coupled-cluster theory to solve the many-body problem for
nuclei with closed sub-shells. Through an analysis of theoretical uncertainties
resulting from various truncations in this framework, we identify and eliminate
the technical hurdles that previously inhibited the step beyond medium-mass
nuclei, allowing for reliable validations of nuclear Hamiltonians in the heavy
regime. Following this path we show that chiral Hamiltonians qualitatively
reproduce the systematics of nuclear ground-state energies up to the
neutron-rich Sn isotopes.


title: Complexity Hierarchies Beyond Elementary

abstract:
  We introduce a hierarchy of fast-growing complexity classes and show its
suitability for completeness statements of many non elementary problems. This
hierarchy allows the classification of many decision problems with a
non-elementary complexity, which occur naturally in logic, combinatorics,
formal languages, verification, etc., with complexities ranging from simple
towers of exponentials to Ackermannian and beyond.


title: Self-Dual N=2 Born-Infeld Theory Through Auxiliary Superfields

abstract:
  There is an evidence that the N=2 Born-Infeld theory with spontaneously
broken N=4 supersymmetry exhibits self-duality. We perform a further check of
this hypothesis by constructing a new representation for the N=2 Born-Infeld
action through the auxiliary chiral superfield U. In such a formulation,
self-duality is equivalent to U(1) invariance of the U interaction. We
explicitly calculate the auxiliary interaction up to the 10th order and show
its U(1) duality invariance, thus proving that the original action is self-dual
to the same order. We also suggest a new method of recursive computation of the
N=2 Born-Infeld action in the standard formulation, based solely on the
nonlinear realization of the N=4 central charge on the N=2 superfield strengths
W, \bar W.


title:
Siu-Yeung jet differentials on complete intersection surfaces X^2 in
  P^4(C)

abstract:
  On a generic complete intersection surface X^2 in P^4(C) having polynomial
equations z^d = R(x,y) and t^e = S(x,y) with 752 <= d <= e <= d^2/648, there
exist extrinsic meromorphic jet differentials of the form J(x,y,x',y') / [y^d
z^{m(d-1)} t^{m(e-1)}] where J(x,y,x',y') = sum_{j+k+p+q=m} A_{j,k,p,q}(x,y)
(x')^j (y')^k (R')^p (S')^q (R)^{m-p} (S)^{m-q} with the complex coefficients
of the polynomials A_{j,k,p,q}(x,y) satisfying a certain system of linear
equations depending explicitly on R, S, the restriction to X^2 of which
provides nonzero intrinsic global holomorphic sections of the bundle of
symmetric m-differentials Sym^m T_X^*.


title: An approach to the quantization of black-hole quasi-normal modes

abstract:
  In this work we derive the asymptotic quasi-normal modes of a BTZ black hole
using a quantum field theoretic Lagrangian. The BTZ black hole is a very
popular system in the context of $2+1$-dimensional quantum gravity. However to
our knowledge the quasi-normal modes of the BTZ black hole have been studied
only in the classical domain. Here we show a way to quantize the quasi-normal
modes of the BTZ black hole by mapping it to the Bateman-Feschbach-Tikochinsky
oscillator and the Caldirola-Kanai oscillator. We have also discussed a couple
of other black hole potentials to which this method can be applied

categories: gr-qc cond-mat.stat-mech hep-th quant-ph


title:
The geometry of quantum lens spaces: real spectral triples and bundle
  structure

abstract:
  We study almost real spectral triples on quantum lens spaces, as orbit spaces
of free actions of cyclic groups on the spectral geometry on the quantum group
$SU_q(2)$. These spectral triples are given by weakening some of the conditions
of a real spectral triple. We classify the irreducible almost real spectral
triples on quantum lens spaces and we study unitary equivalences of such
quantum lens spaces. Applying a useful characterization of principal
$U(1)$-fibrations in noncommutative geometry, we show that all such quantum
lens spaces are principal $U(1)$-fibrations over quantum teardrops.


title: GLB: Lifeline-based Global Load Balancing library in X10

abstract:
  We present GLB, a programming model and an associated implementation that can
handle a wide range of irregular paral- lel programming problems running over
large-scale distributed systems. GLB is applicable both to problems that are
easily load-balanced via static scheduling and to problems that are hard to
statically load balance. GLB hides the intricate syn- chronizations (e.g.,
inter-node communication, initialization and startup, load balancing,
termination and result collection) from the users. GLB internally uses a
version of the lifeline graph based work-stealing algorithm proposed by
Saraswat et al. Users of GLB are simply required to write several pieces of
sequential code that comply with the GLB interface. GLB then schedules and
orchestrates the parallel execution of the code correctly and efficiently at
scale. We have applied GLB to two representative benchmarks: Betweenness
Centrality (BC) and Unbalanced Tree Search (UTS). Among them, BC can be
statically load-balanced whereas UTS cannot. In either case, GLB scales well--
achieving nearly linear speedup on different computer architectures (Power,
Blue Gene/Q, and K) -- up to 16K cores.


title:
Multi-component model of learning and its use for research didactic
  system

abstract:
  In computer simulation of the learning process is usually assumed that all
elements of the training material are assimilated equally durable. But in
practice, the knowledge, which a student uses in its operations, are remembered
much better. For a more precise study of didactic systems the multi component
model of learning are proposed. It takes into account: 1) the transition of
weak knowledge in trustworthy knowledge; 2) the difference in the rate of
forgetting the trustworthy and weak knowledge. It is assumed that the rate of
increase of student's knowledge is proportional to: 1) the difference between
the level of the requirements of teachers and the number of learned knowledge;
2) the amount of learned knowledge, raised to some power. Examples of the use
of a multi component model for the study of situations in the learning process
are considered, the resulting graphs of the student's level of knowledge of the
time are presented. A generalized model of learning, which allows to take into
account the complexity of the various elements of the educational material are
proposed. The possibility of creating a training program for the training of
students of pedagogical institutes are considered.


title:
Pricing of vanilla and first generation exotic options in the local
  stochastic volatility framework: survey and new results

abstract:
  Stochastic volatility (SV) and local stochastic volatility (LSV) processes
can be used to model the evolution of various financial variables such as FX
rates, stock prices, and so on. Considerable efforts have been devoted to
pricing derivatives written on underliers governed by such processes. Many
issues remain, though, including the efficacy of the standard alternating
direction implicit (ADI) numerical methods for solving SV and LSV pricing
problems. In general, the amount of required computations for these methods is
very substantial. In this paper we address some of these issues and propose a
viable alternative to the standard ADI methods based on Galerkin-Ritz ideas. We
also discuss various approaches to solving the corresponding pricing problems
in a semi-analytical fashion. We use the fact that in the zero correlation case
some of the pricing problems can be solved analytically, and develop a
closed-form series expansion in powers of correlation. We perform a thorough
benchmarking of various numerical solutions by using analytical and
semi-analytical solutions derived in the paper.


title: Experimental Tests of QCD

abstract:
  The first very successful LHC running period has been finished. At 7 TeV
centre-of-mass energy about 5/fb of data have been collected and at 8 TeV even
20/fb. Many detailed analyses of these data are still going on. The latest
measurements on photon, weak boson plus jet, and jet production are compared
against the most recent theory predictions. They are complemented by new
results reported by the experiments at the Tevatron and HERA colliders.
Finally, several new determinations of the strong coupling constant from jet
data are presented.


title: WIMPs and Un-Naturalness

abstract:
  The WIMP "miracle" suggests a new physics threshold ranging from the weak
scale up to several tens of TeVs. Obtaining the correct dark matter density in
many theories aiming to solve the hierarchy problem may thus require some
amount of tuning of the weak scale, hinting at a possible connection between
WIMP dark matter and unnaturalness. We point out that dark matter direct
detection is a very efficient probe of these unnatural models, and that
existing data already provide important clues to the nature of the associated
WIMPs. We present a model-independent, relativistic analysis of the signatures
of a gauge-singlet dark matter candidate of arbitrary spin, and discuss the
current experimental bounds from LUX and XENON100. For complex WIMPs, dark
matter direct detection is complementary to electroweak precision tests, and
can even compete with flavor constraints if the dark matter has spin.
Particularly relevant for future searches are couplings to the Higgs mass
operator, which are expected to be large if the electroweak scale is finely
tuned. Care is devoted to the RG evolution of the effective Lagrangian. We find
that the CP-even scalar coupling to charm quarks is enhanced by about 20%
compared to the one-loop estimate.
  When pushed in the unnatural regime, warped extra dimensions -- with or
without custodial symmetry -- become attractive theories for flavor, the Higgs
mass, and dark matter. The WIMP argument basically sets an upper bound on
unnaturalness, whereas direct detection experiments select scalar or real
particles as the most compelling dark matter candidates.


title: Separate Constraints on Early and Late Cosmology

abstract:
  Since the public release of Planck data, several attempts have been made to
explain the observed small tensions with other data-sets, most of them
involving an extension of the {\Lambda}CDM Model. We try here an alternative
approach to the data analysis, based on separating the constraints coming from
the different epochs in cosmology, in order to assess which part of the
Standard Model generates the tension with the data. To this end, we perform a
particular analysis of Planck data probing only the early cosmological
evolution, until the time of photon decoupling. Then, we utilise this result to
see if the {\Lambda}CDM model can fit all observational constraints probing
only the late cosmological background evolution, discarding any information
concerning the late perturbation evolution. We find that all tensions between
the datasets are removed, suggesting that our standard assumptions on the
perturbed late-time history, as well as on reionisation, could sufficiently
bias our parameter extraction and be the source of the alleged tensions.


title: Using Web Co-occurrence Statistics for Improving Image Categorization

abstract:
  Object recognition and localization are important tasks in computer vision.
The focus of this work is the incorporation of contextual information in order
to improve object recognition and localization. For instance, it is natural to
expect not to see an elephant to appear in the middle of an ocean. We consider
a simple approach to encapsulate such common sense knowledge using
co-occurrence statistics from web documents. By merely counting the number of
times nouns (such as elephants, sharks, oceans, etc.) co-occur in web
documents, we obtain a good estimate of expected co-occurrences in visual data.
We then cast the problem of combining textual co-occurrence statistics with the
predictions of image-based classifiers as an optimization problem. The
resulting optimization problem serves as a surrogate for our inference
procedure. Albeit the simplicity of the resulting optimization problem, it is
effective in improving both recognition and localization accuracy. Concretely,
we observe significant improvements in recognition and localization rates for
both ImageNet Detection 2012 and Sun 2012 datasets.


title: On the star arboricity of hypercubes

abstract:
  A Hypercube $Q_n$ is a graph in which the vertices are all binary vectors of
length n, and two vertices are adjacent if and only if their components differ
in exactly one place. A galaxy or a star forest is a union of vertex disjoint
stars. The star arboricity of a graph $G$, ${\rm sa}(G)$, is the minimum number
of galaxies which partition the edge set of $G$. In this paper among other
results, we determine the exact values of ${\rm sa}(Q_n)$ for $n \in \{2^k-3,
2^k+1, 2^k+2, 2^i+2^j-4\}$, $i \geq j \geq 2$. We also improve the last known
upper bound of ${\rm sa}(Q_n)$ and show the relation between ${\rm sa}(G)$ and
square coloring.


title: Detecting Periodic Elements in Higher Topological Hochschild Homology

abstract:
  Given a commutative ring spectrum $R$ let $\Lambda_XR$ be the Loday functor
constructed by Brun, Carlson and Dundas. Given a prime $p\geq 5$ we calculate
$\pi_*(\Lambda_{S^n}H\mathbb{F}_p)$ and $\pi_*(\Lambda_{T^n}H\mathbb{F}_p)$ for
$n\leq p$, and use these results to deduce that $v_{n-1}$ in the $n-1$-th
connective Morava $K$-theory of $(\Lambda_{T^{n}}H\mathbb{F}_p)^{hT^{n}}$ is
non-zero and detected in the homotopy fixed point spectral sequence by an
explicit element, which class we name the Rognes class.
  To facilitate these calculations we introduce Multifold Hopf algebras. Each
axis circle in $T^n$ gives rise to a Hopf algebra structure on
$\pi_*(\Lambda_{T^n}H\mathbb{F}_p)$, and the way these Hopf Algebra structures
interact is encoded with a Multifold Hopf algebra structure. This structure
puts several restrictions on the possible algrebra structures on
$\pi_*(\Lambda_{T^n}H\mathbb{F}_p)$ and is a vital tool in the calculations
above.


title: Three-dimensional fractional-spin gravity

abstract:
  Using Wigner-deformed Heisenberg oscillators, we construct 3D Chern--Simons
models consisting of fractional-spin fields coupled to higher-spin gravity and
internal non-abelian gauge fields. The gauge algebras consist of
Lorentz-tensorial Blencowe-Vasiliev higher-spin algebras and compact internal
algebras intertwined by infinite-dimensional generators in lowest-weight
representations of the Lorentz algebra with fractional spin. In integer or
half-integer non-unitary cases, there exist truncations to gl(N,N +/- 1) or
gl(N|N +/- 1) models. In all non-unitary cases, the internal gauge fields can
be set to zero. At the semi-classical level, the fractional-spin fields are
either Grassmann even or odd. The action requires the enveloping-algebra
representation of the deformed oscillators, while their Fock-space
representation suffices on-shell.


title: Symmetry and short interval mean-squares

abstract:
  The weighted Selberg integral is a discrete mean-square, that is a
generalization of the classical Selberg integral of primes to an arithmetic
function $f$, whose values in a short interval are suitably attached to a
weight function. We give conditions on $f$ and select a particular class of
weights, in order to investigate non-trivial bounds of weighted Selberg
integrals of both $f$ and $f\ast\mu$. In particular, we discuss the cases of
the symmetry integral and the modified Selberg integral, the latter involving
the Cesaro weight. We also prove some side results when $f$ is a divisor
function.


title:
Complete description of rational points of Diophantine equation
  x4+y4=z4+w4

abstract:
  In this paper we consider Diophantine equation x4 + y4 = z4 + w4 (1)We
construct some family of cubic curves.We prove that every rational point on
Quar- tica x4 + y4 = z4 + w4 can be mapped to a point on some curve of this
family. We also prove the opposite: each rational point belonging to our family
of curves can be mapped to a rational point on the Quartica. (2) We find the
point on our family of curves corresponding to a parametric solution of Leonard
Euler. We construct several new parametric solutions of our Quartica, using a
parametric solution of Leonard Euler and the algebraic operation on the cubic
curves. (3)We present an algorithm to find all rational points on our Quartica.


title: Out-of-equilibrium Baryogenesis and SuperWIMP Dark Matter

abstract:
  The experimental fact that the energy density in Dark Matter and in Baryons
is of the same order is one of the most puzzling in cosmology. In this letter
we suggest a new mechanism able to explain this coincidence in the context of
out-of-equilibrium baryogenesis with DM production "\`a la" SuperWIMP starting
from the same initial particle. We then discuss two simple implementations of
this scenario within supersymmetric models with gravitino DM.


title:
Design of Field Programmable Gate Array (FPGA) Based Emulators for Motor
  Control Applications

abstract:
  Problem Statement: Field Programmable Gate Array (FPGA) circuits play a
significant role in major recent embedded process control designs. However,
exploiting these platforms requires deep hardware conception skills and remains
an important time consuming stage in a design flow. High Level Synthesis
technique avoids this bottleneck and increases design productivity as witnessed
by industry specialists. Approach: This study proposes to apply this technique
for the conception and implementation of a Real Time Direct Current Machine
(RTDCM) emulator for an embedded control application. Results: Several
FPGA-based configuration scenarios are studied. A series of tests including
design and timing-precision analysis were conducted to discuss and validate the
obtained hardware architectures. Conclusion/Recommendations: The proposed
methodology has accelerated the design time besides it has provided an extra
time to refine the hardware core of the DCM emulator. The high level synthesis
technique can be applied to the control field especially to test with low cost
and short delays newest algorithms and motor models.


title:
Shift in the speed of reaction diffusion equation with a cut-off: pushed
  and bistable fronts

abstract:
  We study the change in the speed of pushed and bistable fronts of the
reaction diffusion equation in the presence of a small cut-off. We give
explicit formulas for the shift in the speed for arbitrary reaction terms f(u).
The dependence of the speed shift on the cut-off parameter is a function of the
front speed and profile in the absence of the cut-off. In order to determine
the speed shift we solve the leading order approximation to the front profile
u(z) in the neighborhood of the leading edge and use a variational principle
for the speed. We apply the general formula to the Nagumo equation and recover
the results which have been obtained recently by geometric analysis. The
formulas given are of general validity and we also apply them to a class of
reaction terms which have not been considered elsewhere.


title: Photometric type Ia supernova surveys in narrow band filters

abstract:
  We study the characteristics of a narrow band type Ia supernova survey
through simulations based on the upcoming Javalambre Physics of the
accelerating universe Astrophysical Survey (J-PAS). This unique survey has the
capabilities of obtaining distances, redshifts, and the SN type from a single
experiment thereby circumventing the challenges faced by the resource-intensive
spectroscopic follow-up observations. We analyse the flux measurements
signal-to-noise ratio and bias, the supernova typing performance, the ability
to recover light curve parameters given by the SALT2 model, the photometric
redshift precision from type Ia supernova light curves and the effects of
systematic errors on the data. We show that such a survey is not only feasible
but may yield large type Ia supernova samples (up to 250 supernovae at $z<0.5$
per month of search) with low core collapse contamination ($\sim 1.5$ per
cent), good precision on the SALT2 parameters (average $\sigma_{m_B}=0.063$,
$\sigma_{x_1}=0.47$ and $\sigma_c=0.040$) and on the distance modulus (average
$\sigma_{\mu}=0.16$, assuming an intrinsic scatter
$\sigma_{\mathrm{int}}=0.14$), with identified systematic uncertainties
$\sigma_{\mathrm{sys}}\lesssim 0.10 \sigma_{\mathrm{stat}}$. Moreover, the
filters are narrow enough to detect most spectral features and obtain excellent
photometric redshift precision of $\sigma_z=0.005$, apart from $\sim$ 2 per
cent of outliers. We also present a few strategies for optimising the survey's
outcome. Together with the detailed host galaxy information, narrow band
surveys can be very valuable for the study of supernova rates, spectral feature
relations, intrinsic colour variations and correlations between supernova and
host galaxy properties, all of which are important information for supernova
cosmological applications.


title: Quantum metrology for relativistic quantum fields

abstract:
  In quantum metrology quantum properties such as squeezing and entanglement
are exploited in the design of a new generation of clocks, sensors and other
measurement devices that can outperform their classical counterparts.
Applications of great technological relevance lie in the precise measurement of
parameters which play a central role in relativity, such as proper
accelerations, relative distances, time and gravitational field strengths. In
this paper we generalise recently introduced techniques to estimate physical
quantities within quantum field theory in flat and curved space-time. We
consider a bosonic quantum field that undergoes a generic transformation, which
encodes the parameter to be estimated. We present analytical formulas for
optimal precision bounds on the estimation of small parameters in terms of
Bogoliubov coefficients for single mode and two-mode Gaussian channels.


title:
Effect of Local Optical Potential Parameters on the Pion-Nucleus Elastic
  Scattering in Framework of Second-Order Eikonal Model at Intermediate Energy

abstract:
  The microscopic eikonal phase shifts with its first and second corrections
for pi nucleus collision are calculated by using the expression previously
derived for the local Kisslinger potential. A physical description to different
forms of targets density distributions, are implemented. The roles of the
Ericson Ericson Lorentz Lorentz EELL parameter and the adjustable scattering
amplitude parameters are discussed.The calculated differential cross sections
include the second order corrections of eikonal phase shift.The need for
modifying the effective interaction to account for higher order corrections,
larger scattering angles and for lower incident projectile momentum is
discussed.The results of this theory for 12C 16O 28Si 40 44 48Ca and 208Pb
nuclei are shown to yield satisfactory agreement with experimental data in the
momentum range of 114 to 292 MeVc.


title: Random time with differentiable conditional distribution function

abstract:
  Given a stochastic structure with a filtration $\mathbb{F}$, the class of all
random times whose conditional distribution functions are differentiable with
respect to some $\mathbb{F}$ adapted non decreasing processes is considered.
The main property of a random time in this class is that it can be
isomorphically implanted into an auxiliary model which is absolutely continuous
with respect to a Cox model. Three formulas are established: the conditional
expectation formula, the optional splitting formula, and the enlargement of
filtration formula. This study is particularly useful for models which are not
defined directly with Cox models, such as the dynamic one-default model
developed recently.


title: Splitting of operations for alternative and Malcev structures

abstract:
  In this paper we define pre-Malcev algebras and alternative quadri-algebras
and prove that they generalize pre-Lie algebras and quadri-algebras
respectively to the alternative setting. Constructions in terms bimodules,
splitting of operations, and Rota-Baxter operators are discussed.


title: Euler-MacLaurin formulas via differential operators

abstract:
  Recently there has been a renewed interest in asymptotic Euler-MacLaurin
formulas, partly due to applications to spectral theory of differential
operators. Using elementary means, we recover such formulas for compactly
supported smooth functions f on intervals, polygons, and 3-dimensional
polytopes, where the coefficients in the asymptotic expansion are sums of
differential operators involving only derivatives of f in directions normal to
the faces of the polytope. Our formulas apply to wedges of any dimension. This
paper builds on, and is motivated by, works of Guillemin, Sternberg, and
others, in the past ten years.


title: Divergent series: past, present, future

abstract:
  The present paper presents some reflections of the author on divergent series
and their role and place in mathematics over the centuries. The point of view
presented here is limited to differential equations and dynamical systems.


title: Giving the AI definition a form suitable for the engineer

abstract:
  Artificial Intelligence - what is this? That is the question! In earlier
papers we already gave a formal definition for AI, but if one desires to build
an actual AI implementation, the following issues require attention and are
treated here: the data format to be used, the idea of Undef and Nothing
symbols, various ways for defining the "meaning of life", and finally, a new
notion of "incorrect move". These questions are of minor importance in the
theoretical discussion, but we already know the answer of the question "Does AI
exist?" Now we want to make the next step and to create this program.


title:
Avoiding Confusion between Predictors and Inhibitors in Value Function
  Approximation

abstract:
  In reinforcement learning, the goal is to seek rewards and avoid punishments.
A simple scalar captures the value of a state or of taking an action, where
expected future rewards increase and punishments decrease this quantity.
Naturally an agent should learn to predict this quantity to take beneficial
actions, and many value function approximators exist for this purpose. In the
present work, however, we show how value function approximators can cause
confusion between predictors of an outcome of one valence (e.g., a signal of
reward) and the inhibitor of the opposite valence (e.g., a signal canceling
expectation of punishment). We show this to be a problem for both linear and
non-linear value function approximators, especially when the amount of data (or
experience) is limited. We propose and evaluate a simple resolution: to instead
predict reward and punishment values separately, and rectify and add them to
get the value needed for decision making. We evaluate several function
approximators in this slightly different value function approximation
architecture and show that this approach is able to circumvent the confusion
and thereby achieve lower value-prediction errors.


title: Integral functionals on $L^p$-spaces: infima over sub-level sets

abstract:
  In this paper, we establish the following result: Let $(T,{\cal F},\mu)$ be a
$\sigma$-finite measure space, let $Y$ be a reflexive real Banach space, and
let $\varphi, \psi:Y\to {\bf R}$ be two sequentially weakly lower
semicontinuous functionals such that $$\inf_{y\in
Y}{{\min\{\varphi(y),\psi(y)\}}\over {1+\|y\|^p}}>-\infty$$ for some $p>0$.
  Moreover, assume that $\varphi$ has no global minima, while
$\varphi+\lambda\psi$ is coercive and has a unique global minimum for each
$\lambda>0$. Then, for each $\gamma\in L^{\infty}(T)\cap L^1(T)\setminus
\{0\}$, with $\gamma\geq 0$, and for each $r>\inf_{Y}\psi$, if we put
$$V_{\gamma,r}= \left \{u\in L^p(T,Y) : \int_T\gamma(t)\psi(u(t))d\mu\leq
r\int_T\gamma(t)d\mu\right \}\ ,$$ we have $$\inf_{u\in V_{\gamma,r}}
\int_T\gamma(t)\varphi(u(t))d\mu=
\inf_{\psi^{-1}(r)}\varphi\int_T\gamma(t)d\mu\ .$$


title:
Rotationally-supported disks around Class I sources in Taurus: disk
  formation constraints

abstract:
  (Abridged) Disks are observed around pre-main sequence stars, but how and
when they form is still heavily debated. While disks around young stellar
objects have been identified through thermal dust emission, spatially and
spectrally resolved molecular line observations are needed to determine their
nature. We present subarcsecond observations of dust and gas toward four Class
I low-mass young stellar objects in Taurus. The 13CO and C18O J=2-1 transitions
at 220 GHz were observed with the Plateau de Bure Interferometer at a spatial
resolution of ~0.8'' and analyzed using uv-space position velocity diagrams to
determine the nature of their observed velocity radient. Rotationally supported
disks (RSDs) are detected around 3 of the 4 Class I sources studied. The
derived masses identify them as Stage I objects; i.e., their stellar mass is
higher than their envelope and disk masses. The outer radii of the Keplerian
disks toward our sample of Class I sources are <~ 100 AU. The lack of on-source
C18O emission for TMR1 puts an upper limit of 50 AU on its size. Flattened
structures at radii > 100 AU around these sources are dominated by infalling
motion (v propto r^-1). A large-scale envelope model is required to estimate
the basic parameters of the flattened structure from spatially resolved
continuum data. Similarities and differences between the gas and dust disk are
discussed. Combined with literature data, the sizes of the RSDs around Class I
objects are best described with evolutionary models with an initial rotation of
10^-14 Hz and slow sound speeds. Based on the comparison of gas and dust disk
masses, little CO is frozen out within 100 AU in these disks. RSDs with radii
up to 100 AU are present around Class I embedded objects. Larger surveys of
both Class 0 and I objects are needed to determine whether most disks form late
or early in the embedded phase.


title:
Enhancement of ultrafast electron photoemission from metallic nano
  antennas excited by a femtosecond laser pulse

abstract:
  We have demonstrated for the first time that an array of nanoantennas
(central nanotips inside sub-micron pits) on an aluminum surface, fabricated
using a specific double-pulse femtosecond laser irradiation scheme, results in
a 28-fold enhancement of the non-linear (three-photon) electron photoemission
yield, driven by a third intense IR femtosecond laser pulse. The supporting
numerical electrodynamic modeling indicates that the electron emission is
increased not owing to a larger effective aluminum surface, but due to instant
local electromagnetic field enhancement near the nanoantenna, contributed by
both the tip's lightning rod effect and the focusing effect of the pit as a
microreflector and annular edge as a plasmonic lens.


title: Hadrons on the worldline, holography, and Wilson flow

abstract:
  Holographic principles have impacted the way we look at strong coupling
phenomena in quantum chromodynamics, strongly interacting extensions of the
standard model, and {condensed-matter} physics. In real world settings,
however, we still lack understanding of why and when such an approach is
justified. Therefore, here, without invoking any such principle a priori, we
demonstrate how such a picture arises in the worldline formulation of quantum
field theory. Among other connections to holographic models, a warped AdS5
geometry, a quantum mechanical picture, and hidden local symmetry emerge, as
well as a Wilson flow (gradient flow), which extends the four-dimensional
sources to five-dimensional fields and a link to the Gutzwiller trace formula.
The worldline formulation also reproduces the non-relativistic case, which is
important for condensed-matter physics.


title:
Generalized two-point tree-level amplitude $jf \to j^{\, \prime} f^{\,
  \prime}$ in a magnetized medium (extended version)

abstract:
  The tree-level two-point amplitudes for the transitions $jf \to j^{\, \prime}
f^{\, \prime}$, where $f$ is a fermion and $j$ is a generalized current, in a
constant uniform magnetic field of an arbitrary strength and in charged fermion
plasma, for the $jf$ interaction vertices of the scalar, pseudoscalar, vector
and axial-vector types have been investigated. The particular cases of a very
strong magnetic field, and of the coherent scattering off the real fermions
without change of their states (the "forward" scattering) have been analysed.


title:
Sharpening $m_{T2}$ cusps: the mass determination of semi-invisibly
  decaying particles from a resonance

abstract:
  We revisit mass determination techniques for the minimum symmetric event
topology, namely $X$ pair production followed by $X \to \ell N$, where $X$ and
$N$ are unknown particles with the masses to be measured, and $N$ is an
invisible particle, concentrating on the case where $X$ is pair produced from a
resonance. We consider separate scenarios, with different initial constraints
on the invisible particle momenta, and present a systematic method to identify
the kinematically allowed mass regions in the $(m_N, m_X)$ plane. These allowed
regions exhibit a cusp structure at the true mass point, which is equivalent to
the one observed in the $m_{T2}$ endpoints in certain cases. By considering the
boundary of the allowed mass region we systematically define kinematical
variables which can be used in measuring the unknown masses, and find a new
expression for the $m_{T2}$ variable as well as its inverse. We explicitly
apply our method to the case that $X$ is pair produced from a resonance, and as
a case study, we consider the process $pp \to A \to \tilde \chi_1^+ \tilde
\chi_1^-$, followed by $\tilde \chi_1^\pm \to \ell^{\pm} \, \tilde \nu_{\ell}$,
in the Minimal Supersymmetric Standard Model and show that our method provides
a precise measurement of the chargino and sneutrino masses, $m_X$ and $m_N$, at
$14 \, \mathrm{TeV}$ LHC with $300 \, \mathrm{fb}^{-1}$ luminosity.


title: Non-looseness of non-loose knots

abstract:
  A Legendrian or transverse knot in an overtwisted contact 3-manifold is
non-loose if its complement is tight and loose if its complement is
overtwisted. We define three measures of the extent of non-looseness of a
non-loose knot and show they are distinct.


title: Random sampling of trivials words in finitely presented groups

abstract:
  We describe a novel algorithm for random sampling of freely reduced words
equal to the identity in a finitely presented group. The algorithm is based on
Metropolis Monte Carlo sampling. The algorithm samples from a stretched
Boltzmann distribution \begin{align*}\pi(w) &= (|w|+1)^{\alpha} \beta^{|w|}
\cdot Z^{-1} \end{align*} where $|w|$ is the length of a word $w$, $\alpha$ and
$\beta$ are parameters of the algorithm, and $Z$ is a normalising constant. It
follows that words of the same length are sampled with the same probability.
The distribution can be expressed in terms of the cogrowth series of the group,
which then allows us to relate statistical properties of words sampled by the
algorithm to the cogrowth of the group, and hence its amenability.
  We have implemented the algorithm and applied it to several group
presentations including the Baumslag-Solitar groups, some free products studied
by Kouksov, a finitely presented amenable group that is not subexponentially
amenable (based on the basilica group), and Richard Thompson's group $F$.


title: Unconventional topological phase transitions in helical Shiba chains

abstract:
  Chains of magnetic impurities placed on a superconducting substrate and
forming helical spin order provide a promising venue for realizing a
topological superconducting phase. An effective tight-binding description of
such helical Shiba chains involves long-range (power-law) hopping and pairing
amplitudes which induce an unconventional topological critical point. At the
critical point, we find exponentially localized Majorana bound states with a
short localization length unrelated to a topological gap. Away from the
critical point, this exponential decay develops a power-law tail. Our
analytical results have encouraging implications for experiment.


title: Witnessing quantum coherence in the presence of noise

abstract:
  We address the problem of assessing the coherent character of physical
evolution. We take the quantum Zeno effect (QZE) as a characteristic trait of
quantum dynamics, and derive relations among transfer rates as a function of
the strength of a measurement. These relations support the intuition that only
quantum dynamics is susceptible to QZE. With the derived bounds on the
magnitude of coherent dynamics, we propose an experimentally accessible
coherence witness. Our results have potential application in assessing
coherence of quantum transport in biological and other complex many-body
systems.


title: BBN And The CMB Constrain Light, Electromagnetically Coupled WIMPs

abstract:
  (Abridged) In the presence of a light WIMP (< 30 MeV), there are degeneracies
among the nature of the WIMP, its couplings to standard model particles, its
mass m_chi, and the number of equivalent neutrinos beyond the standard model,
Delta N_nu. These degeneracies cannot be broken by the CMB constraint on the
effective number of neutrinos, N_eff. However, big bang nucleosynthesis (BBN)
is affected by a light WIMP and equivalent neutrinos, so the combination of BBN
and CMB can break some of the degeneracies. Here, BBN predictions for
abundances in the presence of a light WIMP and equivalent neutrinos are
explored, and estimates of their observationally determined relic abundances
are used to limit m_chi, Delta N_nu, and the present Universe baryon density
(Omega_B h^2). These constraints are explored for Majorana and Dirac fermion
WIMPs, as well as for real and complex scalar WIMPs that couple to electrons,
positrons, and photons. In a separate paper this analysis is repeated for WIMPs
that couple only to the standard model neutrinos, and constraints for the two
cases are contrasted. Without a light WIMP but allowing for equivalent
neutrinos, the combined BBN and CMB constraints favor N_eff = 3.46 +/- 0.17,
Omega_B h^2 = 0.0224 +/- 0.0003, and Delta N_nu = 0.40 +/- 0.17. In this case,
standard BBN (Delta N_nu = 0) is disfavored at ~98% confidence, and the
presence of one sterile neutrino (Delta N_nu = 1) is disfavored at > 99%
confidence. Allowing a light WIMP and Delta N_nu equivalent neutrinos together,
the combined BBN and CMB data provide lower limits to the WIMP masses (> 0.5 -
5 MeV) that depend on the nature of the WIMP, favor m_chi ~8 MeV slightly over
no WIMP, and loosen constraints on equivalent neutrinos, Delta N_nu =
0.65+0.46-0.35. While Delta N_nu = 0 is still disfavored at ~95% confidence
with a light WIMP, Delta N_nu = 1 is now allowed.


title:
Search for gamma-ray-emitting active galactic nuclei in the Fermi-LAT
  unassociated sample using machine learning

abstract:
  The second Fermi-LAT source catalog (2FGL) is the deepest all-sky survey
available in the gamma-ray band. It contains 1873 sources, of which 576 remain
unassociated. Machine-learning algorithms can be trained on the gamma-ray
properties of known active galactic nuclei (AGN) to find objects with AGN-like
properties in the unassociated sample. This analysis finds 231 high-confidence
AGN candidates, with increased robustness provided by intersecting two
complementary algorithms. A method to estimate the performance of the
classification algorithm is also presented, that takes into account the
differences between associated and unassociated gamma-ray sources. Follow-up
observations targeting AGN candidates, or studies of multiwavelength archival
data, will reduce the number of unassociated gamma-ray sources and contribute
to a more complete characterization of the population of gamma-ray emitting
AGN.


title:
Seasonality of the hydrological cycle in major South and Southeast Asian
  river basins as simulated by PCMDI/CMIP3 experiments

abstract:
  In this study, we investigate how PCMDI/CMIP3 general circulation models
(GCMs) represent the seasonal properties of the hydrological cycle in four
major South and Southeast Asian river basins (Indus, Ganges, Brahmaputra and
Mekong). First, we examine the skill of the GCMs by analysing their performance
in simulating the 20th century climate (1961-2000 period) using historical
forcing (20c3m experiment), and then we analyse the projected changes for the
corresponding 21st and 22nd century climates under the SRESA1B scenario. The
CMIP3 GCMs show a varying degree of skill in simulating the basic
characteristics of the monsoonal precipitation regimes of the Ganges,
Brahmaputra and Mekong basins, while the representation of the hydrological
cycle over the Indus Basin is poor in most cases, with a few GCMs not capturing
the monsoonal signal at all. While the model outputs feature a remarkable
spread for the monsoonal precipitation, a satisfactory representation of the
western mid-latitude precipitation regime is instead observed. Similarly, most
of the models exhibit a satisfactory agreement for the basin-integrated runoff
in winter and spring, while their spread is large for the runoff during the
monsoon season. For the future climate scenarios, most models foresee a
decrease in the winter P - E over all four basins, while agreement is found on
the decrease of the spring P - E over the Indus and Ganges basins only. Such
decreases in P - E are mainly due to the decrease in precipitation associated
with the western mid-latitude disturbances. Consequently, for the Indus and
Ganges basins, the runoff drops during the spring season while it rises during
the winter season. Such changes indicate a shift from rather glacial and nival
to more pluvial runoff regimes, particularly for the Indus Basin. Furthermore,
the rise in the projected runoff, along with ...


title:
Phase diagram and Fermi-liquid properties of the extended Hubbard model
  on the honeycomb lattice

abstract:
  The Hubbard model and extended Hubbard model on the honeycomb lattice can be
seen as prototype models of single layer graphene placed in a high dielectric
constant environment that screens the Coulomb interaction. Taking advantage of
the absence of a sign problem at half-filling, we study this problem with
clusters up to 96 sites with the Determinant Quantum Monte Carlo Method as an
impurity solver for the the Dynamical Cluster Approximation at finite
temperatures. After determining the stability of the semi-metallic phase to
interaction-induced spin-density wave (SDW), charge-density wave (CDW) and Mott
insulating phases, we study the single particle dynamics of the Dirac fermions.
We show that when spontaneous symmetry breaking is avoided, the semi-metallic
phase is a stable Fermi liquid in the presence of repulsive interactions and
that Kondo screening dominates the low temperature regime, even though there is
a $\rho(\omega) = |\omega|$ type local density of states. We also investigate
the impact of the correlation effects on the renormalization of the Fermi
velocity $v_F$. We find that $v_F$ is not renormalized when only on-site
repulsion $U$ is present, but that near-neighbor repulsion $V$ does renormalize
$v_F$. This may explain the variations between different measurements of $v_F$
in graphene.


title:
Study of double parton scattering using W + 2-jet events in
  proton-proton collisions at sqrt(s) = 7 TeV

abstract:
  Double parton scattering is investigated in proton-proton collisions at
sqrt(s) = 7 TeV where the final state includes a W boson, which decays into a
muon and a neutrino, and two jets. The data sample corresponds to an integrated
luminosity of 5 inverse femtobarns, collected with the CMS detector at the LHC.
Observables sensitive to double parton scattering are investigated after being
corrected for detector effects and selection efficiencies. The fraction of W +
2-jet events due to double parton scattering is measured to be 0.055 +/- 0.002
(stat.) +/- 0.014 (syst.). The effective cross section, sigma[eff],
characterizing the effective transverse area of hard partonic interactions in
collisions between protons is measured to be 20.7 +/- 0.8 (stat.) +/- 6.6
(syst.) mb.


title: Flavor SU(3) and $\Lambda_b$ decays

abstract:
  Some flavor SU(3) results are presented for decays of the $\Lambda_b$ baryon
into non-charmed final states $PB$, where $P$ is a pseudoscalar mesons and $B$
is a spin-1/2 baryon. Although these relations are among amplitudes and hence
not yet subject to direct experimental test, they can form the basis for
triangle inequalities among decay rates.


title: Higgs Decay into Two Photons at the Boundary of a Warped Extra Dimension

abstract:
  A detailed five-dimensional calculation of the Higgs-boson decay into two
photons is performed in both the minimal and the custodially protected
Randall-Sundrum (RS) model, where the Standard Model (SM) fields propagate in
the bulk and the scalar sector lives on or near the IR brane. It is explicitly
shown that the $R_\xi$ gauge invariance of the sum of diagrams involving
bosonic fields in the SM also applies to the case of these RS scenarios. An
exact expression for the $h\to\gamma\gamma$ amplitude in terms of the
five-dimensional (5D) gauge-boson and fermion propagators is presented, which
includes the full dependence on the Higgs-boson mass. Closed expressions for
the 5D $W$-boson propagators in the minimal and the custodial RS model are
derived, which are valid to all orders in $v^2/M_\textrm{KK}^2$. In contrast to
the fermion case, the result for the bosonic contributions to the
$h\to\gamma\gamma$ amplitude is insensitive to the details of the localization
of the Higgs profile on or near the IR brane. The various RS predictions for
the rate of the $pp\to h\to\gamma\gamma$ process are compared with the latest
LHC data, and exclusion regions for the RS model parameters are derived.


title: Generalized Jack polynomials and the AGT relations for the $SU(3)$ group

abstract:
  We find generalized Jack polynomials for the group $SU(3)$ and verify that
their Selberg averages for several first levels are given by Nekrasov
functions. To compute the averages we derive recurrence relations for the
$sl_3$ Selberg integrals.


title: A heat bath can generate all classes of three-qubit entanglement

abstract:
  It is common knowledge that coupling to a heat bath, in general, tends to
reduce the entanglement in a quantum system. In recent years, increasing
interest has been devoted to the opposite situation where thermal or
specifically tailored environments may stabilize or even generate entanglement.
We prove the universality of this phenomenon for multipartite entanglement in
the frame of an exactly solvable dephasing model. We show by evaluating
analytical lower bounds for the appropriate entanglement measures that a common
thermal environment can dynamically generate all entanglement classes of three
qubits for almost any initial product state. For sufficiently weak dissipation
this entanglement may persist up to arbitrarily large times.


title: Time-varying Learning and Content Analytics via Sparse Factor Analysis

abstract:
  We propose SPARFA-Trace, a new machine learning-based framework for
time-varying learning and content analytics for education applications. We
develop a novel message passing-based, blind, approximate Kalman filter for
sparse factor analysis (SPARFA), that jointly (i) traces learner concept
knowledge over time, (ii) analyzes learner concept knowledge state transitions
(induced by interacting with learning resources, such as textbook sections,
lecture videos, etc, or the forgetting effect), and (iii) estimates the content
organization and intrinsic difficulty of the assessment questions. These
quantities are estimated solely from binary-valued (correct/incorrect) graded
learner response data and a summary of the specific actions each learner
performs (e.g., answering a question or studying a learning resource) at each
time instance. Experimental results on two online course datasets demonstrate
that SPARFA-Trace is capable of tracing each learner's concept knowledge
evolution over time, as well as analyzing the quality and content organization
of learning resources, the question-concept associations, and the question
intrinsic difficulties. Moreover, we show that SPARFA-Trace achieves comparable
or better performance in predicting unobserved learner responses than existing
collaborative filtering and knowledge tracing approaches for personalized
education.


title:
Emergence of granular-sized magnetic bubbles through the solar
  atmosphere: I. Spectropolarimetric observations and simulations

abstract:
  We study a granular-sized magnetic flux emergence event that occurred in NOAA
11024 in July 2009. The observations were made with the CRISP
spectropolarimeter at the Swedish 1 m Solar Telescope achieving a spatial
resolution of 0.14". Simultaneous full Stokes observations of the two
photospheric Fe I lines at 630.2 nm and the chromospheric Ca II 854.2 nm line
allow us to describe in detail the emergence process across the solar
atmosphere. We report here on 3D semi-spherical bubble events, where instead of
simple magnetic footpoints, we observe complex semi-circular feet straddling a
few granules. The most characteristic signature in these events is the
observation of a dark bubble in filtergrams taken in the wings of the Ca II
854.2 nm line. We can infer how the bubble rises through the solar atmosphere
as we see it progressing from the wings to the core of Ca II 854.2 nm. In the
photosphere, the magnetic bubble shows mean upward Doppler velocities of 2
km/s. In about 3.5 minutes it travels some 1100 km to reach the mid
chromosphere, implying an average ascent speed of 5.2 km/s. To aid the
interpretation of the observations, we carry out 3D numerical simulations of
the evolution of a horizontal, untwisted magnetic flux sheet injected in the
convection zone, using the Bifrost code. The computational domain spans from
the upper convection zone to the lower corona. In the modeled chromosphere the
rising flux sheet produces a large, cool, magnetized bubble. We compare this
bubble with the observed ones and find excellent agreement, including similar
field strengths and velocity signals in the photosphere and chromosphere,
temperature deficits, ascent speeds, expansion velocities, and lifetimes.


title: Disentangling Higgs-Top Couplings in Associated Production

abstract:
  In the presence of CP violation, the Higgs-top coupling may have both scalar
and pseudoscalar components, $\kappa_t$ and ${\tilde \kappa_t}$, which are
bounded indirectly but only weakly by the present experimental constraints on
the Higgs-gluon-gluon and Higgs-$\gamma$-$\gamma$ couplings, whereas upper
limits on electric dipole moments provide strong additional indirect
constraints on ${\tilde \kappa_t}$, if the Higgs-electron coupling is similar
to that in the Standard Model and there are no cancellations with other
contributions. We discuss methods to measure directly the scalar and
pseudoscalar Higgs-top couplings by measurements of Higgs production in
association with ${\bar t} t$, single $t$ and single ${\bar t}$ at the LHC.
Measurements of the total cross sections are very sensitive to variations in
the Higgs-top couplings that are consistent with the present indirect
constraints, as are invariant mass distributions in ${\bar t} t H$, $tH$ and
${\bar t} H$ final states. We also investigate the additional information on
$\kappa_t$ and ${\tilde \kappa_t}$ that could be obtained from measurements of
the longitudinal and transverse $t$ polarization in the different associated
production channels, and the ${\bar t} t$ spin correlation in ${\bar t} t H$
events.


title:
TETRA Observation of Gamma Rays at Ground Level Associated with Nearby
  Thunderstorms

abstract:
  Terrestrial Gamma ray Flashes (TGFs) -- very short, intense bursts of
electrons, positrons, and energetic photons originating from terrestrial
thunderstorms -- have been detected with satellite instruments. TETRA, an array
of NaI(Tl) scintillators at Louisiana State University, has now been used to
detect similar bursts of 50 keV to over 2 MeV gamma rays at ground level. After
2.6 years of observation, twenty-four events with durations 0.02- 4.2 msec have
been detected associated with nearby lightning, three of them coincident events
observed by detectors separated by ~1000 m. Nine of the events occurred within
6 msec and 3 miles of negative polarity cloud-to-ground lightning strokes with
measured currents in excess of 20 kA. The events reported here constitute the
first catalog of TGFs observed at ground level in close proximity to the
acceleration site.


title: A covariant treatment of cosmic parallax

abstract:
  The Gaia satellite will soon probe parallax on cosmological distances. Using
the covariant formalism and considering the angle between a pair of sources, we
find parallax for both spacelike and timelike separation between observation
points. Our analysis includes both intrinsic parallax and parallax due to
observer motion. We propose a consistency condition that tests the FRW metric
using the parallax distance and the angular diameter distance. This test is
purely kinematic and relies only on geometrical optics, it is independent of
matter content and its relation to the spacetime geometry. We study
perturbations around the FRW model, and find that they should be taken into
account when analysing observations to determine the parallax distance.


title:
Detecting Intentional Packet Drops on the Internet via TCP/IP Side
  Channels: Extended Version

abstract:
  We describe a method for remotely detecting intentional packet drops on the
Internet via side channel inferences. That is, given two arbitrary IP addresses
on the Internet that meet some simple requirements, our proposed technique can
discover packet drops (e.g., due to censorship) between the two remote
machines, as well as infer in which direction the packet drops are occurring.
The only major requirements for our approach are a client with a global IP
Identifier (IPID) and a target server with an open port. We require no special
access to the client or server. Our method is robust to noise because we apply
intervention analysis based on an autoregressive-moving-average (ARMA) model.
In a measurement study using our method featuring clients from multiple
continents, we observed that, of all measured client connections to Tor
directory servers that were censored, 98% of those were from China, and only
0.63% of measured client connections from China to Tor directory servers were
not censored. This is congruent with current understandings about global
Internet censorship, leading us to conclude that our method is effective.


title: Comments on Renyi entropy in AdS$_3$/CFT$_2$

abstract:
  We extend and refine recent results on Renyi entropy in two-dimensional
conformal field theories at large central charge. To do so, we examine the
effects of higher spin symmetry and of allowing unequal left and right central
charges, at leading and subleading order in large total central charge. The
result is a straightforward generalization of previously derived formulae,
supported by both gravity and CFT arguments. The preceding statements pertain
to CFTs in the ground state, or on a circle at unequal left- and right-moving
temperatures. For the case of two short intervals in a CFT ground state, we
derive certain universal contributions to Renyi and entanglement entropy from
Virasoro primaries of arbitrary scaling weights, to leading and next-to-leading
order in the interval size; this result applies to any CFT. When these
primaries are higher spin currents, such terms are placed in one-to-one
correspondence with terms in the bulk 1-loop determinants for higher spin gauge
fields propagating on handlebody geometries.


title: Theory of dynamic nuclear polarization and feedback in quantum dots

abstract:
  An electron confined in a quantum dot interacts with its local nuclear spin
environment through the hyperfine contact interaction. This interaction
combined with external control and relaxation or measurement of the electron
spin allows for the generation of dynamic nuclear polarization. The quantum
nature of the nuclear bath, along with the interplay of coherent external
fields and incoherent dynamics in these systems renders a wealth of intriguing
phenomena seen in recent experiments such as electron Zeeman frequency
focusing, hysteresis, and line dragging. We develop in detail a fully quantum,
self-consistent theory that can be applied to such experiments and that
moreover has predictive power. Our theory uses the operator sum representation
formalism in order to incorporate the incoherent dynamics caused by the
additional, Markovian bath, which in self-assembled dots is the vacuum field
responsible for electron-hole optical recombination. The beauty of this
formalism is that it reduces the complexity of the problem by encoding the
joint dynamics of the external coherent and incoherent driving in an effective
dynamical map that only acts on the electron spin subspace. This together with
the separation of timescales in the problem allows for a tractable and
analytically solvable formalism. The key role of entanglement between the
electron spin and the nuclear spins in the formation of dynamic nuclear
polarization naturally follows from our solution. We demonstrate the theory in
detail for an optical pulsed experiment and present an in-depth discussion and
physical explanation of our results.


title: Effective Field Theory of Cosmic Acceleration: an implementation in CAMB

abstract:
  We implement the effective field theory (EFT) approach to dark energy and
modified gravity in the public Einstein-Boltzmann solver CAMB. The resulting
code, which we dub EFTCAMB, is a powerful and versatile tool that can be used
for several objectives. It can be employed to evolve the full dynamics of
linear scalar perturbations in any given single field dark energy or modified
gravity model, once the latter is mapped into the EFT formalism. It offers a
numerical implementation of EFT as a model-independent framework to test
gravity on cosmological scales. EFTCAMB has a built-in check for the
fulfillment of general stability conditions such as the absence of ghost and
superluminal propagation of perturbations. It handles phantom-divide crossing
models and does not contain any quasi-static approximation, but rather evolves
the full dynamics of perturbations on linear scales. As we will show, the
latter is an important feature in view of the accuracy and scale range of
upcoming surveys. We show the reliability and applicability of our code by
evolving the dynamics of linear perturbations and extracting predictions for
power spectra in several models. In particular we perform a thorough analysis
of f(R) theories, comparing our outputs with those of an existing code for LCDM
backgrounds, and finding an agreement that can reach 0.1% for models with a
Compton wavelength consistent with current cosmological data. We then showcase
the flexibility of our code studying two different scenarios. First we produce
new results for designer f(R) models with a time-varying dark energy equation
of state. Second, we extract predictions for linear observables in some
parametrized EFT models with a phantom-divide crossing equation of state for
dark energy.


title: Precise Estimates of the Higgs Mass in Heavy SUSY

abstract:
  In supersymmetric models, very heavy stop squarks introduce large logarithms
into the computation of the Higgs boson mass. Although it has long been known
that in simple cases these logs can be resummed using effective field theory
techniques, it is technically easier to use fixed-order formulas, and many
public codes implement the latter. We calculate three- and four-loop
next-to-next-to-leading-log corrections to the Higgs mass and compare the fixed
order formulas numerically to the resummation results in order to estimate the
range of supersymmetry scales where the fixed-order results are reliable. We
find that the four-loop result may be accurate up to a few tens of TeV. We
confirm an accidental cancellation between different three-loop terms, first
observed in S. P. Martin, Phys. Rev. D 75, 055005 (2007), and show that it
persists to higher scales and becomes more effective with the inclusion of
higher radiative corrections. Existing partial three-loop calculations that
include only one of the two cancelling terms may overestimate the Higgs mass.
We give analytic expressions for the three- and four-loop corrections in terms
of Standard Model parameters and provide a complete dictionary for translating
parameters between the SM and the MSSM and the $\MSbar$ and $\DRbar$
renormalization schemes.


title:
Glassy Dielectric Response in Tb_2NiMnO_6 Double Perovskite with
  Similarities to a Griffiths Phase

abstract:
  Frequency-dependent and temperature-dependent dielectric measurements are
performed on double perovskite Tb$_2$NiMnO$_6$. The real ($\epsilon_1$) and
imaginary ($\epsilon_2$) parts of dielectric permittivity show three plateaus
suggesting dielectric relaxation originating from bulk, grain boundaries and
the sample-electrode interfaces respectively. The temperature and frequency
variation of $\epsilon_1$ and $\epsilon_2$ are successfully simulated by a $RC$
circuit model. The complex plane of impedance, $Z'$-$Z"$, is simulated using a
series network with a resistor $R$ and a constant phase element. Through the
analysis of frequency-dependent dielectric constant using modified-Debye model,
different relaxation regimes are identified. Temperature dependence of dc
conductivity also presents a clear change in slope at, $T^*$. Interestingly,
$T^*$ compares with the temperature at which an anomaly occurs in the phonon
modes and the Griffiths temperature for this compound. The components $R$ and
$C$ corresponding to the bulk and the parameter $\alpha$ from modified-Debye
fit tend support to this hypothesis. Though these results cannot be interpreted
as magnetoelectric coupling, the relationship between lattice and magnetism is
marked.


title: Quantum Loewner Evolution

abstract:
  What is the scaling limit of diffusion limited aggregation (DLA) in the
plane? This is an old and famously difficult question. One can generalize the
question in two ways: first, one may consider the {\em dielectric breakdown
model} $\eta$-DBM, a generalization of DLA in which particle locations are
sampled from the $\eta$-th power of harmonic measure, instead of harmonic
measure itself. Second, instead of restricting attention to deterministic
lattices, one may consider $\eta$-DBM on random graphs known or believed to
converge in law to a Liouville quantum gravity (LQG) surface with parameter
$\gamma \in [0,2]$.
  In this generality, we propose a scaling limit candidate called quantum
Loewner evolution, QLE$(\gamma^2, \eta)$. QLE is defined in terms of the radial
Loewner equation like radial SLE, except that it is driven by a measure valued
diffusion $\nu_t$ derived from LQG rather than a multiple of a standard
Brownian motion. We formalize the dynamics of $\nu_t$ using an SPDE. For each
$\gamma \in (0,2]$, there are two or three special values of $\eta$ for which
we establish the existence of a solution to these dynamics and explicitly
describe the stationary law of $\nu_t$.
  We also explain discrete versions of our construction that relate DLA to
loop-erased random walk and the Eden model to percolation. A certain
"reshuffling" trick (in which concentric annular regions are rotated randomly,
like slot machine reels) facilitates explicit calculation.
  We propose QLE$(2,1)$ as a scaling limit for DLA on a random
spanning-tree-decorated planar map, and QLE$(8/3,0)$ as a scaling limit for the
Eden model on a random triangulation. We propose using QLE$(8/3,0)$ to endow
pure LQG with a distance function, by interpreting the region explored by a
branching variant of QLE$(8/3,0)$, up to a fixed time, as a metric ball in a
random metric space.


title: On the Classification of 6D SCFTs and Generalized ADE Orbifolds

abstract:
  We study (1,0) and (2,0) 6D superconformal field theories (SCFTs) that can be
constructed in F-theory. Quite surprisingly, all of them involve an orbifold
singularity C^2 / G with G a discrete subgroup of U(2). When G is a subgroup of
SU(2), all discrete subgroups are allowed, and this leads to the familiar ADE
classification of (2,0) SCFTs. For more general U(2) subgroups, the allowed
possibilities for G are not arbitrary and are given by certain generalizations
of the A- and D-series. These theories should be viewed as the minimal 6D
SCFTs. We obtain all other SCFTs by bringing in a number of E-string theories
and/or decorating curves in the base by non-minimal gauge algebras. In this way
we obtain a vast number of new 6D SCFTs, and we conjecture that our
construction provides a full list.


title: Cyclotron dynamics of interacting bosons in artificial magnetic fields

abstract:
  We study theoretically quantum dynamics of interacting bosons in artificial
magnetic fields as engineered in recent ultracold atomic experiments, where
quantum cyclotron orbital motion has been observed. With exact numerical
simulations and perturbative analyses, we find that interactions induce damping
in the cyclotron motion. The damping time is found to be dependent on
interaction and tunneling strengths monotonically, while its dependence on
magnetic flux is non-monotonic. Sufficiently strong interactions would render
bosons dynamically localized inhibiting the cyclotron motion. The damping
predicted by us can be construed as an interaction-induced quantum decoherence
of the cyclotron motion.


title: 3D Flat Holography: Entropy and Logarithmic Corrections

abstract:
  We compute the leading corrections to the Bekenstein-Hawking entropy of the
Flat Space Cosmological (FSC) solutions in 3D flat spacetimes, which are the
flat analogues of the BTZ black holes in AdS3. The analysis is done by a
computation of density of states in the dual 2D Galilean Conformal Field Theory
and the answer obtained by this matches with the limiting value of the expected
result for the BTZ inner horizon entropy as well as what is expected for a
generic thermodynamic system. Along the way, we also develop other aspects of
holography of 3D flat spacetimes.


title: Nonlinear supersymmetry in the quantum Calogero model

abstract:
  It is long known that the rational Calogero model describing n identical
particles on a line with inverse-square mutual interaction potential is quantum
superintegrable. We review the (nonlinear) algebra of the conserved quantum
charges and the intertwiners which relate the Liouville charges at couplings g
and g+1. For integer values of g, these intertwiners give rise to additional
conserved charges commuting with all Liouville charges and known since the
1990s. We give a direct construction of such a charge, the unique one being
totally antisymmetric under particle permutations. It is of order
n(n-1)(2g-1)/2 in the momenta and squares to a polynomial in the Liouville
charges. With a natural Z_2 grading, this charge extends the algebra of
conserved charges to a nonlinear supersymmetric one. We provide explicit
expressions for intertwiners, charges and their algebra in the cases of two,
three and four particles.


title: SR-FTiR microscopy and FTIR imaging in the earth sciences

abstract:
  During the last decades, several books have been devoted to the application
of spectroscopic methods in mineralogy. Several short courses and meetings have
addressed particular aspects of spectroscopy, such as the analysis of hydrous
components in minerals and Earth materials. In these books, complete treatment
of the infrared theory and practical aspects of instrumentation and methods,
along with an exhaustive list of references, can be found. The present chapter
is intended to cover those aspects of infrared spectroscopy that have been
developed in the past decade and are not included in earlier reviews such as
Volume 18 of Reviews in Mineralogy. These new topics involve primarily: (1) the
use of synchrotron radiation (SR), which, although not a routine method, is now
rather extensively applied in infrared studies, in particular those requiring
ultimate spatial and time resolution and the analysis of extremely small
samples (a few tens of micrometers); (2) the development of imaging techniques
also for foreseen time resolved studies of geo-mineralogical processes and
environmental studies.


title: Reply to Comment by Vanderbilt, Souza and Haldane: arXiv:1312.4200

abstract:
  We reassert our statement that the non-quantized Weyl node contribution to
the anomalous Hall conductivity is not a Fermi surface property, contrary to
the claim by Vanderbilt, Souza and Haldane.


title: On cold gases with anisotropic interactions

abstract:
  A cold gas of particles with anisotropic interactions of general form, due to
a polarizing field, is studied. Special cases are atoms or molecules with
dipole-dipole or quadrupole-quadrupole interactions. It is shown that the
angular dependence of an observable on the direction of the polarizing field is
largely determined by symmetry. For a gas in a confined quasi two-dimensional
geometry, the effective interaction is calculated in general form. Some
examples of dipole and quadrupole gases are considered. It is concluded that
when anisotropic forces are studied in a general manner, one can obtain simpler
results and better understanding for some problems.


title:
SOMz: photometric redshift PDFs with self organizing maps and random
  atlas

abstract:
  In this paper we explore the applicability of the unsupervised machine
learning technique of Self Organizing Maps (SOM) to estimate galaxy photometric
redshift probability density functions (PDFs). This technique takes a
spectroscopic training set, and maps the photometric attributes, but not the
redshifts, to a two dimensional surface by using a process of competitive
learning where neurons compete to more closely resemble the training data
multidimensional space. The key feature of a SOM is that it retains the
topology of the input set, revealing correlations between the attributes that
are not easily identified. We test three different 2D topological mapping:
rectangular, hexagonal, and spherical, by using data from the DEEP2 survey. We
also explore different implementations and boundary conditions on the map and
also introduce the idea of a random atlas where a large number of different
maps are created and their individual predictions are aggregated to produce a
more robust photometric redshift PDF. We also introduced a new metric, the
$I$-score, which efficiently incorporates different metrics, making it easier
to compare different results (from different parameters or different
photometric redshift codes). We find that by using a spherical topology mapping
we obtain a better representation of the underlying multidimensional topology,
which provides more accurate results that are comparable to other,
state-of-the-art machine learning algorithms. Our results illustrate that
unsupervised approaches have great potential for many astronomical problems,
and in particular for the computation of photometric redshifts.


title: Quantum Sticking of Atoms on Membranes

abstract:
  A continuum model for low-energy physisorption on a membrane under tension is
proposed and studied with variational mean-field theory. A discontinuous change
in the energy-dependent sticking coefficient is predicted under certain
conditions. This singularity is a result of the bosonic orthogonality
catastrophe of the vibrational states of the membrane. The energy-dependent
sticking coefficient is predicted to have exponential scaling in 1/E above the
singularity. The application of this model to the quantum sticking of cold
hydrogen to suspended graphene is discussed. The model predicts that a beam of
atomic hydrogen can be completely reflected by suspended graphene at ultralow
energies.


title:
On Gevrey Regularity of the Supercritical SQG equation in Critical Besov
  Spaces

abstract:
  In this paper we show that the solution of the supercrti- cal surface
quasi-geostrophic (SQG) equation, starting from initial data in homogeneous
critical Besov spaces belong to a subanalytic Gevrey class. In particular, we
improve upon the result of Dong and Li in [26], where they showed that the
solutions of Chen-Miao-Zhang (cf. [11]) are classical solutions. We extend the
approach of Biswas (cf. [7]) to critical, L^p -based Besov spaces, and adapt
the point of view of Lemarie- Rieusset (cf. [36]), who treated the operator
arising from applying the analytic Gevrey operator to a product of analytic
functions as a bilinear multiplier operator. In order to obtain L^p bounds, we
prove that our bilinear multiplier operator is of Marcinkiewicz type, and show
that due to additional localizations inherited from working in Besov spaces,
this condition implies boundedness.