title: On the temporal wavefunction in quantum physics - a short note

abstract:
  Experiments involving single or few elementary particles are completely
described by Quantum Mechanics. Notwithstanding the success of that
quantitative description, various aspects of observations, as nonlocality and
the statistical randomness of results, remain as mysterious properties apart
from the quantum theory, and they are attributed to the strangeness of the
microscopic world. Here we restart from the fundamental relations of
uncertainty to reformulate the probability law of Born including the temporal
variable. Considering that both the spatial and the temporal variables play a
symmetric role in the wave-function \Psi (x,t) , a temporal wavepacket is built
and analysed. The probability density is written as p(x,t) = | \Psi (x,t) |^2,
where the probabilistic interpretation for the temporal wavepacket is
equivalent to Born's law for the spatial variable, x. For the convenience of
the discussion of the role of the temporal variable, we write p(x_0,t) = | \Psi
(x_0,t) |^2 for a free particle, expressing only the temporal wavepacket, then
we discuss its spread. In the light of the evolution of this temporal
wavepacket we analyse basic processes of matter-wave interaction, involving
single and entangled entities. Nonlocality appears then as a consequence of the
spread of the temporal wavepacket; and the position of each detected event in
two-slits interferometry as due to the independent phases of the spatial and
temporal wavepackets.


title:
Systematic reviews in paediatric multiple sclerosis and
  Creutzfeldt-Jakob disease exemplify shortcomings in methods used to evaluate
  therapies in rare conditions

abstract:
  BACKGROUND: Randomized controlled trials (RCTs) are the gold standard design
of clinical research to assess interventions. However, RCTs cannot always be
applied for practical or ethical reasons. To investigate the current practices
in rare diseases, we review evaluations of therapeutic interventions in
paediatric multiple sclerosis (MS) and Creutzfeldt-Jakob disease (CJD). In
particular, we shed light on the endpoints used, the study designs implemented
and the statistical methodologies applied.
  METHODS: We conducted literature searches to identify relevant primary
studies. Data on study design, objectives, endpoints, patient characteristics,
randomization and masking, type of intervention, control, withdrawals and
statistical methodology were extracted from the selected studies. The risk of
bias and the quality of the studies were assessed.
  RESULTS: Twelve (seven) primary studies on paediatric MS (CJD) were included
in the qualitative synthesis. No double-blind, randomized placebo-controlled
trial for evaluating interventions in paediatric MS has been published yet.
Evidence from one open-label RCT is available. The observational studies are
before-after studies or controlled studies. Three of the seven selected studies
on CJD are RCTs, of which two received the maximum mark on the Oxford Quality
Scale. Four trials are controlled observational studies.
  CONCLUSIONS: Evidence from double-blind RCTs on the efficacy of treatments
appears to be variable between rare diseases. With regard to paediatric
conditions it remains to be seen what impact regulators will have through e.g.,
paediatric investigation plans. Overall, there is space for improvement by
using innovative trial designs and data analysis techniques.


title: On the early history of moduli and Teichm{\"u}ller spaces

abstract:
  We survey some major contributions to Riemann's moduli space and
Teichm{\"u}ller space. Our report has a historical character, but the stress is
on the chain of mathematical ideas. We start with the introduction of Riemann
surfaces, and we end with the discovery of some of the basic structures of
Riemann's moduli space and Teichm{\"u}ller space. We point out several facts
which seem to be unknown to many algebraic geometers and analysts working in
the theory. The period we are interested in starts with Riemann, in 1851, and
ends in the early 1960s, when Ahlfors and Bers confirmed that Teichm{\"u}ller's
results were correct.This paper was written for the book "Lipman Bers, a life
in Mathematics," edited by Linda Keen , Irwin Kra and Rubi Rodriguez (Amercian
Mathematical Society, 2015). It is dedicated to the memory of Lipman Bers who
was above all a complex analyst and spent a large part of his life and energy
working on the analytic structure of Teichm{\"u}ller space. His work on
analysis is nevertheless inseparable from geometry and topology. In this
survey, we highlight the relations and the logical dependence between this work
and the works of Riemann, Poincar{\'e}, Klein, Brouwer, Siegel,
Teichm{\"u}ller, Weil, Grothendieck and others. We explain the motivation
behind the ideas. In doing so, we point out several facts which seem to be
unknown to many Teichm{\"u}ller theorists.


title: Polytopes and simplexes in p-adic fields

abstract:
  We introduce topological notions of polytopes and simplexes, the latter being
expected to play in p-adically closed fields the role played by real simplexes
in the classical results of triangulation of semi-algebraic sets over real
closed fields. We prove that the faces of every p-adic polytope are polytopes
and that they form a rooted tree with respect to specialisation. Simplexes are
then defined as polytopes whose faces tree is a chain. Our main result is a
construction allowing to divide every p-adic polytope in a complex of p-adic
simplexes with prescribed faces and shapes.


title: Faster Algorithms for the Maximum Common Subtree Isomorphism Problem

abstract:
  The maximum common subtree isomorphism problem asks for the largest possible
isomorphism between subtrees of two given input trees. This problem is a
natural restriction of the maximum common subgraph problem, which is ${\sf
NP}$-hard in general graphs. Confining to trees renders polynomial time
algorithms possible and is of fundamental importance for approaches on more
general graph classes. Various variants of this problem in trees have been
intensively studied. We consider the general case, where trees are neither
rooted nor ordered and the isomorphism is maximum w.r.t. a weight function on
the mapped vertices and edges. For trees of order $n$ and maximum degree
$\Delta$ our algorithm achieves a running time of $\mathcal{O}(n^2\Delta)$ by
exploiting the structure of the matching instances arising as subproblems. Thus
our algorithm outperforms the best previously known approaches. No faster
algorithm is possible for trees of bounded degree and for trees of unbounded
degree we show that a further reduction of the running time would directly
improve the best known approach to the assignment problem. Combining a
polynomial-delay algorithm for the enumeration of all maximum common subtree
isomorphisms with central ideas of our new algorithm leads to an improvement of
its running time from $\mathcal{O}(n^6+Tn^2)$ to $\mathcal{O}(n^3+Tn\Delta)$,
where $n$ is the order of the larger tree, $T$ is the number of different
solutions, and $\Delta$ is the minimum of the maximum degrees of the input
trees. Our theoretical results are supplemented by an experimental evaluation
on synthetic and real-world instances.


title: Phases of Global AdS Black Holes

abstract:
  We study the phases of gravity coupled to a charged scalar and gauge field in
an asymptotically Anti-de Sitter spacetime ($AdS_4$) in the grand canonical
ensemble. For the conformally coupled scalar, an intricate phase diagram is
charted out between the four relevant solutions: global AdS, boson star,
Reissner-Nordstrom black hole and the hairy black hole. The nature of the phase
diagram undergoes qualitative changes as the charge of the scalar is changed,
which we discuss. We also discuss the new features that arise in the extremal
limit.


title: Singular Instantons and Painlev\'e VI

abstract:
  We consider a two parameter family of instantons, which is studied in [Sadun
L., Comm. Math. Phys. 163 (1994), 257-291], invariant under the irreducible
action of ${\rm SU}_2$ on $S^4$, but which are not globally defined. We will
see that these instantons produce solutions to a one parameter family of
Painlev\'e VI equations ($\text{P}_{\text{VI}}$) and we will give an explicit
expression of the map between instantons and solutions to
$\text{P}_{\text{VI}}$. The solutions are algebraic only for that values of the
parameters which correspond to the instantons that can be extended to all of
$S^4$. This work is a generalization of [Mu\~niz Manasliski R., Contemp. Math.,
Vol. 434, Amer. Math. Soc., Providence, RI, 2007, 215-222] and [Mu\~niz
Manasliski R., J. Geom. Phys. 59 (2009), 1036-1047, arXiv:1602.07221], where
instantons without singularities are studied.


title:
Coherent events and spectral shape at ion kinetic scales in the fast
  solar wind turbulence

abstract:
  In this paper we investigate spectral and phase coherence properties of
magnetic fluctuations in the vicinity of the spectral transition from large,
magnetohydrodynamic (MHD) to sub-ion scales using in-situ measurements of the
Wind spacecraft in a fast stream. For the time interval investigated by Leamon
et al. (1998) the phase-coherence analysis shows the presence of sporadic
quasi-parallel Alfv\'en Ion Cyclotron (AIC) waves as well as coherent
structures in the form of large-amplitude, quasi-perpendicular Alfv\'en
vortex-like structures and current sheets. These waves and structures
importantly contribute to the observed power spectrum of magnetic fluctuations
around ion scales; AIC waves contribute to the spectrum in a narrow frequency
range whereas the coherent structures contribute to the spectrum over a wide
frequency band from the inertial range to the sub-ion frequency range. We
conclude that a particular combination of waves and coherent structures
determines the spectral shape of the magnetic field spectrum around ion scales.
This phenomenon provides a possible explanation for a high variability of the
magnetic power spectra around ion scales observed in the solar wind.


title:
Confronting a New Three-loop Seesaw Model with the 750 GeV Diphoton
  Excess

abstract:
  We propose a new type of radiative neutrino model with a local hidden $U(1)$
symmetry, in which neutrino masses are induced at the three loop level, and
discuss the muon anomalous magnetic moment, and dark matter candidates therein.
By allowing the hypercharges larger than 3/2 for new fields that contribute to
the neutrino masses and making them decay into the standard model fields
appropriately, we introduce a lot of new particles with multiple electrical
charges in a natural manner. As a by-product, we can accommodate the 750 GeV
diphoton excess depending on the hypercharge quantum numbers of new fields
responsible for the neutrino masses at the three loop level.


title: Relativistic low angular momentum accretion in 3D

abstract:
  We study the low angular momentum accretion of matter onto Schwarzschild or
Kerr black hole using fully relativistic numerical simulations. Our aim is to
include the rotation of both the gas and the black hole and the presence of the
magnetic field into the picture. We compare resulting structure of transonic
flow with results of 1D pseudo-Newtonian semi-analytical computations of
non-magnetized flow.


title:
Large deviations of a velocity jump process with a Hamilton-Jacobi
  approach

abstract:
  We study a random process on R n moving in straight lines and changing
randomly its velocity at random exponential times. We focus more precisely on
the Kolmogorov equation in the hyperbolic scale (t, x, v) $\to$ t $\epsilon$, x
$\epsilon$, v, with $\epsilon$ \textgreater{} 0, before proceeding to a
Hopf-Cole transform, which gives a kinetic equation on a potential. We show
convergence as $\epsilon$ $\to$ 0 of the potential towards the viscosity
solution of a Hamilton-Jacobi equation $\partial$t\"I + H ($\nabla$x\"I) = 0
where the hamiltonian may lack C 1 regularity, which is quite unseen in this
type of studies. R{\'e}sum{\'e}


title: Query Expansion via structural motifs in Wikipedia Graph

abstract:
  The search for relevant information can be very frustrating for users who,
unintentionally, use too general or inappropriate keywords to express their
requests. To overcome this situation, query expansion techniques aim at
transforming the user request by adding new terms, referred as expansion
features, that better describe the real intent of the users. We propose a
method that relies exclusively on relevant structures (as opposed to the use of
semantics) found in knowledge bases (KBs) to extract the expansion features. We
call our method Structural Query Expansion (SQE). The structural analysis of
KBs takes us to propose a set of structural motifs that connect their strongly
related entries, which can be used to extract expansion features. In this paper
we use Wikipedia as our KB, which is probably one of the largest sources of
information. SQE is capable of achieving more than 150% improvement over non
expanded queries and is able to identify the expansion features in less than
0.2 seconds in the worst case scenario. Most significantly, we believe that we
are contributing to open new research directions in query expansion, proposing
a method that is orthogonal to many current systems. For example, SQE improves
pseudo-relevance feedback techniques up to 13%


title:
Asymptotically Flat Space-Times and its Hidden Recesses: An Enigma from
  GR

abstract:
  We begin by emphasizing that we are dealing with standard Einstein or
Einstein-Maxwell theory - absolutely no new physics has been inserted. The
fresh item is that the well-known asymptotically flat solutions of the
Einstein-Maxwell theory are transformed to a new coordinate system with
surprising and (seemingly) inexplicable results. We begin with the standard
description of (Null) Asymptotically Flat Space-Times described in conventional
Bondi-coordinates. After transforming the variables (mainly the asymptotic Weyl
tensor components) to a very special set of NU (Newman-Unti) coordinates, we
find a series of relations totally mimicking standard Newtonian classical
mechanics and Maxwell theory. The surprising and troubling aspect of these
relations is that the associated motion and radiation does not take place in
physical space-time. Instead these relations takes place in an unusual
inherited complex four-dimensional manifold referred to as H-Space that has no
immediate relationship with space-time. In fact these relations appear in two
such spaces, H-Space and its dual space H. 1


title:
The chiral anomaly and thermopower of Weyl fermions in the half-Heusler
  GdPtBi

abstract:
  The Dirac and Weyl semimetals are unusual materials in which the nodes of the
bulk states are protected against gap formation by crystalline symmetry. The
chiral anomaly~\cite{Adler,Bell}, predicted to occur in both systems, was
recently observed as a negative longitudinal magnetoresistance (LMR) in
Na$_3$Bi and in TaAs. An important issue is whether Weyl physics appears in a
broader class of materials. We report evidence for the chiral anomaly in the
half-Heusler GdPtBi. In zero field, GdPtBi is a zero-gap semiconductor with
quadratic bands. In a magnetic field, the Zeeman energy leads to Weyl nodes. We
have observed a large negative LMR with the field-steering properties specific
to the chiral anomaly. The chiral anomaly also induces strong suppression of
the thermopower. We report a detailed study of the thermoelectric response
function $\alpha_{xx}$ of Weyl fermions. The scheme of creating Weyl nodes from
quadratic bands suggests that the chiral anomaly may be observable in a broad
class of semimetals.


title: Packings of Regular Pentagons in the Plane

abstract:
  We show that every packing of congruent regular pentagons in the Euclidean
plane has density at most $(5-\sqrt5)/3$, which is about 0.92. More
specifically, this article proves the pentagonal ice-ray conjecture of Henley
(1986), and Kuperberg and Kuperberg (1990), which asserts that an optimal
packing of congruent regular pentagons in the plane is a double lattice, formed
by aligned vertical columns of upward pointing pentagons alternating with
aligned vertical columns of downward pointing pentagons. The strategy is based
on estimates of the areas of Delaunay triangles. Our strategy reduces the
pentagonal ice-ray conjecture to area minimization problems that involve at
most four Delaunay triangles. These minimization problems are solved by
computer. The computer-assisted portions of the proof use techniques such as
interval arithmetic, automatic differentiation, and a meet-in-the-middle
algorithm.


title: Isomonodromic deformations and SU2-invariant instantons on S4

abstract:
  Anti-self-dual (ASD) solutions to the Yang-Mills equation (or instantons)
over an anti-self-dual four manifold, which are invariant under an appropriate
action of a three dimensional Lie group, give rise, via twistor construction,
to isomonodromic deformations of connections on C P 1 having four simple
singularities. As is well known this kind of deformations is governed by the
sixth Painlev\'e equation P vi ({\alpha}, \b{eta}, {\gamma}, {\delta}) . We
work out the particular case of the SU 2 -action on S 4 , obtained from the
irreducible representation on R 5 . In particular, we express the pa- rameters
({\alpha}, \b{eta}, {\gamma}, {\delta}) in terms of the instanton number. The
present paper contains the proof of the result anounced in [16].


title:
Hard gluon evolution of nucleon Generalized parton distributions in the
  Light-front quark model

abstract:
  We incorporate the perturbative evolution effects in the generalized parton
distributions (GPDs) calculated in effective light-front quark model for the
nucleon. The perturbative effects enters into formalism through the evolution
of GPDs according to the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi-like
(DGLAP) equation. We obtain the evolved GPDs in the momentum space and
transverse impact parameter space. We observe that combining the light front
quark model with the perturbative evolution effects, give the effective model
for studying the phenomenological GPDs


title:
Phenomena at the QCD phase transition in nonequilibrium chiral fluid
  dynamics (N$\chi$FD)

abstract:
  Heavy-ion collisions performed in the beam energy range accessible by the
NICA collider facility are expected to produce systems of extreme net-baryon
densities and can thus reach yet unexplored regions of the QCD phase diagram.
Here, one expects the phase transition between the plasma of deconfined quarks
and gluons and the hadronic matter to be of first order. A discovery of the
first-order phase transition would as well prove the existence of the QCD
critical point, a landmark in the phase diagram. In order to understand
possible signals of the first-order phase transition in heavy-ion collision
experiments it is very important to develop dynamical models of the phase
transition. Here, we discuss the opportunities of studying dynamical effects at
the QCD first-order phase transition within our model of nonequilibrium chiral
fluid dynamics.


title:
First observation of $D^0-\bar D^0$ oscillations in $D^0\to
  K^+\pi^-\pi^+\pi^-$ decays and measurement of the associated coherence
  parameters

abstract:
  Charm meson oscillations are observed in a time-dependent analysis of the
ratio of $D^0\to K^+\pi^-\pi^+\pi^-$ to $D^0\to K^-\pi^+\pi^-\pi^+$ decay
rates, using data corresponding to an integrated luminosity of $3.0\,{\rm
fb}^{-1}$ recorded by the LHCb experiment. The measurements presented are
sensitive to the phase-space averaged ratio of doubly Cabibbo-suppressed to
Cabibbo-favoured amplitudes $r_{D}^{K3\pi}$ and the product of the coherence
factor $R_{D}^{K3\pi}$ and a charm mixing parameter $y^{'}_{K3\pi}$. The
constraints measured are $r_{D}^{K3\pi}=(5.67 \pm 0.12)\times10^{-2}$, which is
the most precise determination to date, and $R_{D}^{K3\pi} \cdot y^{'}_{K3\pi}
= (0.3 \pm 1.8)\times 10^{-3}$, which provides useful input for determinations
of the CP-violating phase $\gamma$ in $B^\pm \to D K^\pm, D \to
K^\mp\pi^\pm\pi^\mp\pi^\pm$ decays. The analysis also gives the most precise
measurement of the $D^0\to K^+\pi^-\pi^+\pi^-$ branching fraction, and the
first observation of $D^0-\bar D^0$ oscillations in this decay mode, with a
significance of 8.2 standard deviations.


title:
Strictly Positive and Continuous Random Fibonacci Sequences and Network
  Theory Applications

abstract:
  We motivate the study of a certain class of random Fibonacci sequences -
which we call continuous random Fibonacci sequences - by demonstrating that
their exponential growth rate can be used to establish capacity and power
scaling laws for multihop cooperative amplify-and-forward (AF) relay networks.
With these laws, we show that it is possible to construct multihop cooperative
AF networks that simultaneously avoid 1) exponential capacity decay and 2)
exponential transmit power growth across the network. This is achieved by
ensuring the network's Lyapunov exponent is zero.


title: Predicting dataset popularity for the CMS experiment

abstract:
  The CMS experiment at the LHC accelerator at CERN relies on its computing
infrastructure to stay at the frontier of High Energy Physics, searching for
new phenomena and making discoveries. Even though computing plays a significant
role in physics analysis we rarely use its data to predict the system behavior
itself. A basic information about computing resources, user activities and site
utilization can be really useful for improving the throughput of the system and
its management. In this paper, we discuss a first CMS analysis of dataset
popularity based on CMS meta-data which can be used as a model for dynamic data
placement and provide the foundation of data-driven approach for the CMS
computing infrastructure.


title:
Effect of the quantum well thickness on the performance of InGaN
  photovoltaic cells

abstract:
  We report on the influence of the quantum well thickness on the effective
band gap and conversion efficiency of In0.12Ga0.88N/GaN multiple quantum well
solar cells. The band-to-band transition can be redshifted from 395 to 474 nm
by increasing the well thickness from 1.3 to 5.4 nm, as demonstrated by
cathodoluminescence measurements. However, the redshift of the absorption edge
is much less pronounced in absorption: in thicker wells, transitions to higher
energy levels dominate. Besides, partial strain relaxation in thicker wells
leads to the formation of defects, hence degrading the overall solar cell
performance.


title:
Variable Effects of Climate on Forest Growth in Relation to Climate
  Extremes, Disturbance, and Forest Stand Dynamics

abstract:
  Changes in the frequency, duration, and severity of climate extremes are
forecast to occur under global climate change. The impacts of climate extremes
on forest productivity and health are complicated by potential interactions
with disturbance events and stand dynamics. The effects of stand dynamics on
forest responses to climate and disturbance are particularly important given
forest characteristics driven by stand dynamics can be modified through forest
management with the goal of increasing forest resistance and resilience to
climate change. We develop a hierarchical Bayesian state-space model allowing
climate effects on tree growth to vary over time and in relation to climate
extremes, disturbance events, and stand dynamics. We apply the model to a
dendrochronology dataset comprising measurements from forest stands of varying
composition, structure, and development stage in northeastern Minnesota.
Results indicate average forest growth was most sensitive to variables
describing climatic water deficit. Forest growth responses to water deficit
were partitioned into responses driven by climatic threshold exceedances and
interactions with forest tent caterpillar defoliation. Forest growth was both
resistant and resilient to climate extremes with the majority of forest growth
responses occurring after multiple climatic threshold exceedances or insect
defoliation events. Forest growth was most sensitive to water deficit during
periods of high stem density following major regeneration events when average
inter-tree competition was high. Results suggest that forest growth resistance
and resilience to interactions between climate extremes and insect defoliation
can be increased through management steps such as thinning to reduce
competition during early stages of stand development and small-group selection
harvests to maintain forest structures characteristic of older, mature stands.


title:
Critical behavior of the 2D Ising model with long-range correlated
  disorder

abstract:
  We study critical behavior of the diluted 2D Ising model in the presence of
disorder correlations which decay algebraically with distance as $\sim r^{-a}$.
Mapping the problem onto 2D Dirac fermions with correlated disorder we
calculate the critical properties using renormalization group up to two-loop
order. We show that beside the Gaussian fixed point the flow equations have a
non trivial fixed point which is stable for $0.995<a<2$ and is characterized by
the correlation length exponent $\nu= 2/a + O((2-a)^3)$. Using bosonization, we
also calculate the averaged square of the spin-spin correlation function and
find the corresponding critical exponent $\eta_2=1/2-(2-a)/4+O((2-a)^2)$.


title: Qubit-based memcapacitors and meminductors

abstract:
  It is shown that superconducting charge and phase qubits are quantum versions
of memory capacitive and inductive systems, respectively. We demonstrate that
such quantum memcapacitive and meminductive devices offer remarkable and rich
response functionalities. In particular, when subjected to periodic input,
qubit-based memcapacitors and meminductors exhibit unusual hysteresis curves.
Our work not only extends the set of known memcapacitive and meminductive
systems to qubit-based quantum devices but also highlights their unique
properties potentially useful for future technological applications.


title:
Fluctuations of bridges, reciprocal characteristics, and concentration
  of measure

abstract:
  Conditions on the generator of a Markov process to control the fluctuations
of its bridges are found. In particular, continuous time random walks on graphs
and gradient diffusions are considered. Under these conditions, a concentration
of measure inequality for the marginals of the bridge of a gradient diffusion
and refined large deviation expansions for the tails of a random walk on a
graph are derived. In contrast with the existing literature about bridges, all
the estimates we obtain hold for non asymptotic time scales. New concentration
of measure inequalities for pinned Poisson random vectors are also established.
The quantities expressing our conditions are the so called \textit{reciprocal
characteristics} associated with the Markov generator.


title: Tidal Forces in Reissner-Nordstr\"om Spacetimes

abstract:
  We analyze the tidal forces produced in the spacetime of Reissner-Nordstr\"om
black holes. We point out that the radial component of the tidal force changes
sign just outside the event horizon if the charge-to-mass ratio is close to $1$
unlike in Schwarzschild spacetime of uncharged black holes, and that the
angular component changes sign between the outer and inner horizons. We solve
the geodesic deviation equations for radially falling bodies towards the
charged black hole. We find, for example, that the radial component of the
geodesic deviation vector starts decreasing inside the event horizon unlike in
the Schwarzschild case.


title: On the reductive monoid associated to a parabolic subgroup

abstract:
  Let $G$ be a connected reductive group over a perfect field $k$. We study a
certain normal reductive monoid $\overline M$ associated to a parabolic
$k$-subgroup $P$ of $G$. The group of units of $\overline M$ is the Levi factor
$M$ of $P$. We show that $\overline M$ is a retract of the affine closure of
the quasi-affine variety $G/U(P)$. Fixing a parabolic $P^-$ opposite to $P$, we
prove that the affine closure of $G/U(P)$ is a retract of the affine closure of
the boundary degeneration $(G \times G)/(P \times_M P^-)$. Using idempotents,
we relate $\overline M$ to the Vinberg semigroup of $G$. The monoid $\overline
M$ is used implicitly in the study of stratifications of Drinfeld's
compactifications of the moduli stacks $\mathrm{Bun}_P$ and $\mathrm{Bun}_G$.


title: UV (in)sensitivity of Higgs inflation

abstract:
  The predictions of Standard Model Higgs inflation are in excellent agreement
with the Planck data, without the need for new fields. However, consistency of
the theory requires the presence of (unknown) threshold corrections. These
modify the running of the couplings, and thereby change the shape of the
inflationary potential. This raises the question how sensitive the CMB
parameters are to the UV completion. We show that, due to a precise
cancellation, the inflationary predictions are almost unaffected. This implies
in general that one cannot relate the spectral index and tensor-to-scalar ratio
to the precise top and Higgs mass measurements at the LHC, nor can one probe
effects of UV physics on the running.


title: Trapezoidal Diagrams, Upward Triangulations, and Prime Catalan Numbers

abstract:
  The d-dimensional Catalan numbers form a well-known sequence of numbers which
count balanced bracket expressions over an alphabet of size d. In this paper,
we introduce and study what we call d-dimensional prime Catalan numbers, a
sequence of numbers which count only a very specific subset of indecomposable
balanced bracket expressions.
  We further introduce the notion of a trapezoidal diagram of a crossing-free
geometric graph, such as a triangulation or a crossing-free perfect matching.
In essence, such a diagram is obtained by augmenting the geometric graph in
question with its trapezoidal decomposition, and then forgetting about the
precise coordinates of individual vertices while preserving the vertical
visibility relations between vertices and segments. We note that trapezoidal
diagrams of triangulations are closely related to abstract upward
triangulations.
  We study the numbers of such diagrams in the cases of (i) perfect matchings
and (ii) triangulations. We give bijective proofs which establish relations
with 3-dimensional (prime) Catalan numbers. This allows us to determine the
corresponding exponential growth rates exactly as (i) 5.196^n and (ii) 23.459^n
(bases are rounded to 3 decimal places).
  Finally, we give lower bounds for the maximum number of embeddings of a
trapezoidal diagram on any given point set.


title: Petrarch 2 : Petrarcher

abstract:
  PETRARCH 2 is the fourth generation of a series of Event-Data coders stemming
from research by Phillip Schrodt. Each iteration has brought new functionality
and usability, and this is no exception.Petrarch 2 takes much of the power of
the original Petrarch's dictionaries and redirects it into a faster and smarter
core logic. Earlier iterations handled sentences largely as a list of words,
incorporating some syntactic information here and there. Petrarch 2 now views
the sentence entirely on the syntactic level. It receives the syntactic parse
of a sentence from the Stanford CoreNLP software, and stores this data as a
tree structure of linked nodes, where each node is a Phrase object.
Prepositional, noun, and verb phrases each have their own version of this
Phrase class, which deals with the logic particular to those kinds of phrases.
Since this is an event coder, the core of the logic focuses around the verbs:
who is acting, who is being acted on, and what is happening. The theory behind
this new structure and its logic is founded in Generative Grammar, Information
Theory, and Lambda-Calculus Semantics.


title: Constrained evolution for a quasilinear parabolic equation

abstract:
  In the present contribution, a feedback control law is studied for a
quasilinear parabolic equation. First, we prove the well-posedness and some
regularity results for the Cauchy-Neumann problem for this equation, modified
by adding an extra term which is a multiple of the subdifferential of the
distance function from a closed convex set of the space of square-integrable
functions. Then, we consider convex sets of obstacle or double-obstacle type
and prove rigorously the following property: if the factor in front of the
feedback control is sufficiently large, then the solution reaches the convex
set within a finite time and then moves inside it.


title: Self-intersection of foliated cycles on complex manifolds

abstract:
  Let X be a compact Kahler manifold and let T be a foliated cycle directed by
a transversally Lipschitz lamination on X . We prove that the self-intersection
of the cohomology class of T vanishes as long as T does not contain currents of
integration along compact manifolds.
  As a consequence we prove that transversally Lipschitz laminations of low
codimension in certain manifolds, e.g. projective spaces, do not carry any
foliated cycles except those given by integration along compact leaves.


title: Motion in an Asymmetric Double Well

abstract:
  The problem of the motion of a particle in an asymmetric double well is
solved explicitly in terms of the Weierstrass and Jacobi elliptic functions.
While the solution of the orbital motion is expressed simply in terms of the
Weierstrass elliptic function, the period of oscillation is more directly
expressed in terms of periods of the Jacobi elliptic functions.


title:
Measurement of D-meson production versus multiplicity in p-Pb collisions
  at $\sqrt{s_{\rm NN}}=5.02$ TeV

abstract:
  The measurement of prompt D-meson production as a function of multiplicity in
p-Pb collisions at $\sqrt{s_{\rm NN}}=5.02$ TeV with the ALICE detector at the
LHC is reported. D$^0$, D$^+$ and D$^{*+}$ mesons are reconstructed via their
hadronic decay channels in the centre-of-mass rapidity range $-0.96<
y_{\mathrm{cms}}<0.04$ and transverse momentum interval $1<p_{\rm T}<24$
GeV/$c$. The multiplicity dependence of D-meson production is examined by
either comparing yields in p-Pb collisions in different event classes, selected
based on the multiplicity of produced particles or zero-degree energy, with
those in pp collisions, scaled by the number of binary nucleon-nucleon
collisions (nuclear modification factor); as well as by evaluating the
per-event yields in p-Pb collisions in different multiplicity intervals
normalised to the multiplicity-integrated ones (relative yields). The nuclear
modification factors for D$^0$, D$^+$ and D$^{*+}$ are consistent with one
another. The D-meson nuclear modification factors as a function of the
zero-degree energy are consistent with unity within uncertainties in the
measured $p_{\rm T}$ regions and event classes. The relative D-meson yields,
calculated in various $p_{\rm T}$ intervals, increase as a function of the
charged-particle multiplicity. The results are compared with the equivalent pp
measurements at $\sqrt{s}=7$ TeV as well as with EPOS~3 calculations.


title: Approximate Hamming distance in a stream

abstract:
  We consider the problem of computing a $(1+\epsilon)$-approximation of the
Hamming distance between a pattern of length $n$ and successive substrings of a
stream. We first look at the one-way randomised communication complexity of
this problem, giving Alice the first half of the stream and Bob the second
half. We show the following: (1) If Alice and Bob both share the pattern then
there is an $O(\epsilon^{-4} \log^2 n)$ bit randomised one-way communication
protocol. (2) If only Alice has the pattern then there is an
$O(\epsilon^{-2}\sqrt{n}\log n)$ bit randomised one-way communication protocol.
  We then go on to develop small space streaming algorithms for
$(1+\epsilon)$-approximate Hamming distance which give worst case running time
guarantees per arriving symbol. (1) For binary input alphabets there is an
$O(\epsilon^{-3} \sqrt{n} \log^{2} n)$ space and $O(\epsilon^{-2} \log{n})$
time streaming $(1+\epsilon)$-approximate Hamming distance algorithm. (2) For
general input alphabets there is an $O(\epsilon^{-5} \sqrt{n} \log^{4} n)$
space and $O(\epsilon^{-4} \log^3 {n})$ time streaming
$(1+\epsilon)$-approximate Hamming distance algorithm.


title: Making extreme computations possible with virtual machines

abstract:
  State-of-the-art algorithms generate scattering amplitudes for high-energy
physics at leading order for high-multiplicity processes as compiled code (in
Fortran, C or C++). For complicated processes the size of these libraries can
become tremendous (many GiB). We show that amplitudes can be translated to
byte-code instructions, which even reduce the size by one order of magnitude.
The byte-code is interpreted by a Virtual Machine with runtimes comparable to
compiled code and a better scaling with additional legs. We study the
properties of this algorithm, as an extension of the Optimizing Matrix Element
Generator (O'Mega). The bytecode matrix elements are available as alternative
input for the event generator WHIZARD. The bytecode interpreter can be
implemented very compactly, which will help with a future implementation on
massively parallel GPUs.


title: A graph which recognizes idempotents of a commutative ring

abstract:
  In this paper we introduce and study a graph on the set of ideals of a
commutative ring $R$. The vertices of this graph are non-trivial ideals of $R$
and two distinct ideals $I$ and $J$ are adjacent if and only $IJ=I\cap J$. We
obtain some properties of this graph and study its relation to the structure of
$R$.


title:
The nonpotentiality of coronae of solar active regions, the dynamics of
  the surface magnetic field, and the potential for large flares

abstract:
  Flares and eruptions from solar active regions are associated with
atmospheric electrical currents accompanying distortions of the coronal field
away from a lowest-energy potential state. In order to better understand the
origin of these currents and their role in M- and X-class flares, I review all
active-region observations made with SDO/HMI and SDO/AIA from 2010/05 through
2014/10 within approximately 40 degrees from disk center. I select the roughly
4% of all regions that display a distinctly nonpotential coronal configuration
in loops with a length comparable to the scale of the active region, and all
that emit GOES X-class flares. The data for 41 regions confirm, with a single
exception, that strong-field, high-gradient polarity inversion lines (SHILs)
created during emergence of magnetic flux into, and related displacement
within, pre-existing active regions are associated with X-class flares. Obvious
nonpotentiality in the active region-scale loops occurs in 6 of 10 selected
regions with X-class flares, all with relatively long SHILs along their primary
polarity inversion line, or with a long internal filament there.
Nonpotentiality can exist in active regions well past the flux-emergence phase,
often with reduced or absent flaring. I conclude that the dynamics of the flux
involved in the compact SHILs is of preeminent importance for the large-flare
potential of active regions within the next day, but that their associated
currents may not reveal themselves in active region-scale nonpotentiality. In
contrast, active region-scale nonpotentiality, which can persist for many days,
may inform us about the eruption potential other than those from SHILs which is
almost never associated with X-class flaring.


abstract:
  We investigate analytically the properties of the Weyl holographic
superconductor in the Lifshitz black hole background. We find that the critical
temperature of the Weyl superconductor decreases with increasing Lifshitz
dynamical exponent, $z$, indicating that condensation becomes difficult. In
addition, it is found that the critical temperature and condensation operator
could be affected by applying the Weyl coupling, $\gamma$. Moreover, we compute
the critical magnetic field and investigate its dependence on the parameters
$\gamma$ and $z$. Finally, we show numerically that the Weyl coupling parameter
$\gamma$ and the Lifshitz dynamical exponent $z$ together control the size and
strength of the conductivity peak and the ratio of gap frequency over critical
temperature $\omega_{g}/T_{c}$.


title:
Development of the Model of Galactic Interstellar Emission for Standard
  Point-Source Analysis of Fermi Large Area Telescope Data

abstract:
  Most of the celestial gamma rays detected by the Large Area Telescope (LAT)
aboard the Fermi Gamma-ray Space Telescope originate from the interstellar
medium when energetic cosmic rays interact with interstellar nucleons and
photons. Conventional point and extended source studies rely on the modeling of
this diffuse emission for accurate characterization. We describe here the
development of the Galactic Interstellar Emission Model (GIEM) that is the
standard adopted by the LAT Collaboration and is publicly available. The model
is based on a linear combination of maps for interstellar gas column density in
Galactocentric annuli and for the inverse Compton emission produced in the
Galaxy. We also include in the GIEM large-scale structures like Loop I and the
Fermi bubbles. The measured gas emissivity spectra confirm that the cosmic-ray
proton density decreases with Galactocentric distance beyond 5 kpc from the
Galactic Center. The measurements also suggest a softening of the proton
spectrum with Galactocentric distance. We observe that the Fermi bubbles have
boundaries with a shape similar to a catenary at latitudes below 20 degrees and
we observe an enhanced emission toward their base extending in the North and
South Galactic direction and located within 4 degrees of the Galactic Center.


title:
ANTS2 package: simulation and experimental data processing for Anger
  camera type detectors

abstract:
  ANTS2 is a simulation and data processing package developed for position
sensitive detectors with Anger camera type readout. The simulation module of
ANTS2 is based on ROOT package from CERN, which is used to store the detector
geometry and to perform 3D navigation. The module is capable of simulating
particle sources, performing particle tracking, generating photons of primary
and secondary scintillation, tracing optical photons and generating photosensor
signals. The reconstruction module features several position reconstruction
methods based on the statistical reconstruction algorithms (including GPU-based
implementations), artificial neural networks and k-NN searches. The module can
process simulated as well as imported experimental data containing photosensor
signals. A custom library for B-spline parameterization of spatial response of
photosensors is implemented which can be used to calculate and parameterize the
spatial response of a detector. The package includes a graphical user interface
with an extensive set of configuration, visualization and analysis tools. ANTS2
is being developed with the focus on the iterative (adaptive) reconstruction of
the detector response using flood field irradiation data. The package is
implemented in C++ programming language and it is a multiplatform, open source
project.


title:
Yano's conjecture for 2-Puiseux pair irreducible plane curve
  singularities

abstract:
  In 1982, Yano proposed a conjecture predicting the $b$-exponents of an
irreducible plane curve singularity which is generic in its equisingularity
class. In this article we prove the conjecture for the case of two Puiseux
pairs and monodromy with distinct eigenvalues. The hypothesis on the monodromy
implies that the $b$-exponents coincide with the opposite of the roots of the
Bernstein polynomial, and we compute the roots of the Bernstein polynomial.


title:
{\delta}-MAPS: From spatio-temporal data to a weighted and lagged
  network between functional domains

abstract:
  We propose {\delta}-MAPS, a method that analyzes spatio-temporal data to
first identify the distinct spatial components of the underlying system,
referred to as "domains", and second to infer the connections between them. A
domain is a spatially contiguous region of highly correlated temporal activity.
The core of a domain is a point or subregion at which a metric of local
homogeneity is maximum across the entire domain. We compute a domain as the
maximum-sized set of spatially contiguous cells that include the detected core
and satisfy a homogeneity constraint, expressed in terms of the average
pairwise cross-correlation across all cells in the domain. Domains may be
spatially overlapping. Different domains may have correlated activity,
potentially at a lag, because of direct or indirect interactions. The proposed
edge inference method examines the statistical significance of each lagged
cross-correlation between two domains, infers a range of lag values for each
edge, and assigns a weight to each edge based on the covariance of the two
domains. We illustrate the application of {\delta}-MAPS on data from two
domains: climate science and neuroscience.


title: Reducing MIMO Detection Complexity via Hierarchical Modulation

abstract:
  This work considers multiple-input multiple-output (MIMO) communication
systems using hierarchical modulation. A disadvantage of the maximum-likelihood
(ML) MIMO detector is that computational complexity increases exponentially
with the number of transmit antennas. To reduce complexity, we propose a
hierarchical modulation scheme to be used in MIMO trans- mission where base and
enhancement layers are incorporated. In the proposed receiver, the base layer
is detected first with a minimum mean square error (MMSE) detector which is
followed by ML detection of the enhancement layer. Our results indicate that
the proposed low complexity scheme does not compromise performance when design
parameters such as code rates and constellation ratio are chosen carefully.


title: A particle approximation for the relativistic Vlasov-Maxwell dynamics

abstract:
  We present a microscopic derivation of the 3-dimensional relativistic
Vlasov-Maxwell system as a combined mean field and point-particle limit of an
$N$-particle system of rigid charges with $N$-dependent radius. The
approximation holds for typical initial particle configurations, implying in
particular propagation of chaos for the respective dynamics.


title: A new algorithm for identifying the flavour of $B_s^0$ mesons at LHCb

abstract:
  A new algorithm for the determination of the initial flavour of $B_s^0$
mesons is presented. The algorithm is based on two neural networks and exploits
the $b$ hadron production mechanism at a hadron collider. The first network is
trained to select charged kaons produced in association with the $B_s^0$ meson.
The second network combines the kaon charges to assign the $B_s^0$ flavour and
estimates the probability of a wrong assignment. The algorithm is calibrated
using data corresponding to an integrated luminosity of 3 fb$^{-1}$ collected
by the LHCb experiment in proton-proton collisions at 7 and 8 TeV
centre-of-mass energies. The calibration is performed in two ways: by resolving
the $B_s^0$-$\bar{B}_s^0$ flavour oscillations in $B_s^0 \to D_s^- \pi^+$
decays, and by analysing flavour-specific $B_{s 2}^{*}(5840)^0 \to B^+ K^-$
decays. The tagging power measured in $B_s^0 \to D_s^- \pi^+$ decays is found
to be $(1.80 \pm 0.19({\rm stat}) \pm 0.18({\rm syst}))$\%, which is an
improvement of about 50\% compared to a similar algorithm previously used in
the LHCb experiment.


title:
Learning from mistakes: The effect of students' written self-diagnoses
  on subsequent problem solving

abstract:
  Helping students learn to think like a physicist is an important goal of many
introductory physics courses. One characteristic distinguishing more
experienced physicists from novice students is that they make better use of
problem solving as a learning opportunity. Experts were found to spend more
time than novices in monitoring their work, reflecting upon their possibly
deficient approach to solving a problem, reconsidering their choices as
necessary, and extending and refining their knowledge structure. Moreover,
research on worked-out examples suggests that better performing students are
those who self-explain, that is, elaborate to themselves what they are learning
from those examples, generate inferences, acknowledge mismatches between their
own approach and that of the example, and attempt to resolve conflicts
(self-repair). Indeed, physics instructors often express concern that many
students do not make an effort to learn from their mistakes after the graded
problems are returned to them. Here, we discuss an investigation focusing on
how well introductory physics students self-diagnose their mistakes in their
quiz solutions and its effect on subsequent problem solving in different
interventions.


title:
Analysis of the Petersen Diagram of Double-Mode High-Amplitude {\delta}
  Scuti Stars

abstract:
  I created the Petersen diagram relative to all the Double Mode High Amplitude
{\delta} Scuti stars listed in the AAVSO's International Variable Star Index up
to date December 29, 2015. For the first time I noticed that the ratio between
the two periods P1/P0 seems in evident linear relation with the duration of the
period P0, a finding never explicitly described in literature regarding this
topic.


title:
Load Optimization with User Association in Cooperative and Load-Coupled
  LTE Networks

abstract:
  We extend the problem of optimizing user association for load balancing in
cellular networks along two dimensions. First, we consider joint transmission
(JT), which is one of the coordinated multipoint (CoMP) techniques, with which
a user may be simultaneously served by multiple base stations. Second, we
account for, mathematically, the coupling relation between the base stations'
load levels that are dependent on each other due to inter-cell interference. We
formulate two optimization problems, sum load minimization (MinSumL) and
maximum load minimization (MinMaxL). We prove that both MinSumL and MinMaxL are
NP-hard. We propose a mixed integer linear programming (MILP) based scheme by
means of linearization. This approach also leads to a bounding scheme for
performance benchmarking. Then, we derive a set of partial optimality
conditions. Fulfillment of the conditions will guarantee performance
improvement for both MinSumL and MinMaxL. A solution algorithm is then derived
based on the conditions. Simulation results are provided to demonstrate the
effectiveness of the approaches.


title: Effective Lower Bounds for L(1,{\chi}) via Eisenstein Series

abstract:
  We give effective lower bounds for $L(1,\chi)$ via Eisenstein series on
$\Gamma_0(q) \backslash \mathbb{H}$. The proof uses the Maass-Selberg relation
for truncated Eisenstein series and sieve theory in the form of the
Brun-Titchmarsh inequality. The method follows closely the work of Sarnak in
using Eisenstein series to find effective lower bounds for $\zeta(1+it)$.


title:
Nonequilibrium Thermodynamics of Chemical Reaction Networks: Wisdom from
  Stochastic Thermodynamics

abstract:
  We build a rigorous nonequilibrium thermodynamic description for open
chemical reaction networks of elementary reactions. Their dynamics is described
by deterministic rate equations satisfying mass action law. Our most general
framework considers open networks driven by time-dependent chemostats. The
energy and entropy balances are established and a nonequilibrium Gibbs free
energy is introduced. The difference between this latter and its equilibrium
form represents the minimal work done by the chemostats to bring the network in
its nonequilibrium state. It is minimized in nondriven detailed-balanced
networks (i.e. networks which relax to equilibrium states) and has an
interesting information-theoretic interpretation. We further show that the
entropy production of complex balanced networks (i.e. networks which relax to
special kinds of nonequilibrium steady states) splits into two non-negative
contributions. One charaterizing the dissipation of the nonequilibrium steady
state and the other the transients due to relaxation and driving. Our theory
lays the path to study time-dependent energy and information transduction in
biochemical networks.


title: The Holographic Universe

abstract:
  I give a critical review of the holographic hypothesis, which posits that a
universe with gravity can be described by a quantum field theory in fewer
dimensions. I first recall how the idea originated from considerations on black
hole thermodynamics and the so-called information paradox that arises when
Hawking radiation is taken into account. String Quantum Gravity tried to solve
the puzzle using the AdS/CFT correspondence, according to which a black hole in
a 5-D anti-de Sitter space is like a flat 4-D field of particles and radiation.
Although such an interesting holographic property, also called gauge/gravity
duality, has never been proved rigorously, it has impulsed a number of research
programs in fields as diverse as nuclear physics, condensed matter physics,
general relativity and cosmology. I finally discuss the pros and cons of the
holographic conjecture, and emphasizes the key role played by black holes for
understanding quantum gravity and possible dualities between distant fields of
theoretical physics.


title: Philosophical Fictionalism and Problem of Artificial Intelligence

abstract:
  The artificial intelligence received broad interpretation as a literary
image. This approach did not have unambiguous refering to the scopes of logical
studies and mathematical investigations. An author applied methods peculiar to
the semiotic approach, offered by Boris Uspensky and Yury Lotman. In addition,
the article presented the criticism of modern versions of educational
technologies, which led to the unconditional expectations for possibilities of
information and telecommunication technologies. Methodological culture's
growth, which was described on the base of semiotics and functional approach to
word formation of new meanings for the description of the studied subjects,
provided the development of pupils' thought. As a result, the research opened
new prospects on understanding of artificial intelligence within educational
practice.


title: When Is a Local Homeomorphism a Semicovering map?

abstract:
  In this paper, by reviewing the concept of semicovering maps, we present some
conditions under which a local homeomorphism becomes a semicovering map. We
also obtain some conditions under which a local homeomorphism is a covering
map.


title:
Inception-v4, Inception-ResNet and the Impact of Residual Connections on
  Learning

abstract:
  Very deep convolutional networks have been central to the largest advances in
image recognition performance in recent years. One example is the Inception
architecture that has been shown to achieve very good performance at relatively
low computational cost. Recently, the introduction of residual connections in
conjunction with a more traditional architecture has yielded state-of-the-art
performance in the 2015 ILSVRC challenge; its performance was similar to the
latest generation Inception-v3 network. This raises the question of whether
there are any benefit in combining the Inception architecture with residual
connections. Here we give clear empirical evidence that training with residual
connections accelerates the training of Inception networks significantly. There
is also some evidence of residual Inception networks outperforming similarly
expensive Inception networks without residual connections by a thin margin. We
also present several new streamlined architectures for both residual and
non-residual Inception networks. These variations improve the single-frame
recognition performance on the ILSVRC 2012 classification task significantly.
We further demonstrate how proper activation scaling stabilizes the training of
very wide residual Inception networks. With an ensemble of three residual and
one Inception-v4, we achieve 3.08 percent top-5 error on the test set of the
ImageNet classification (CLS) challenge


title:
Intermittency fronts for space-time fractional stochastic partial
  differential equations in $(d+1)$ dimensions

abstract:
  We consider time fractional stochastic heat type equation
$$\partial^\beta_tu_t(x)=-\nu(-\Delta)^{\alpha/2}
u_t(x)+I^{1-\beta}_t[\sigma(u)\stackrel{\cdot}{W}(t,x)]$$ in $(d+1)$
dimensions, where $\nu>0$, $\beta\in (0,1)$, $\alpha\in (0,2]$,
$d<\min\{2,\beta^{-1}\}\a$, $\partial^\beta_t$ is the Caputo fractional
derivative, $-(-\Delta)^{\alpha/2} $ is the generator of an isotropic stable
process, $\stackrel{\cdot}{W}(t,x)$ is space-time white noise, and $\sigma:\R
\to\RR{R}$ is Lipschitz continuous. Mijena and Nane proved in
\cite{JebesaAndNane1} that : (i) absolute moments of the solutions of this
equation grows exponentially; and (ii) the distances to the origin of the
farthest high peaks of those moments grow exactly linearly with time. The last
result was proved under the assumptions $\alpha=2$ and $d=1.$ In this paper we
extend this result to the case $\alpha=2$ and $d\in\{1,2,3\}.$


title: Supersymmetric solutions of $N=(2,0)$ Topologically Massive Supergravity

abstract:
  We first make a Killing spinor analysis for a general three-dimensional
off-shell $N=(2,0)$ supergravity and find conditions for a bosonic background
to preserve some supersymmetry . We then consider a particular model, namely
$N=(2,0)$ topologically massive supergravity and impose its field equations. By
making a suitable ansatz on metric functions we find a large class of solutions
that include spacelike, timelike and null warped $AdS_3$ among others.
Isometric quotients of spacelike and timelike squashed $AdS_3$ solutions yield
extremal black holes without closed causal curves.


title: A Multivariate Biomarker for Parkinson's Disease

abstract:
  In this study, we executed a genomic analysis with the objective of selecting
a set of genes (possibly small) that would help in the detection and
classification of samples from patients affected by Parkinson Disease. We
performed a complete data analysis and during the exploratory phase, we
selected a list of differentially expressed genes. Despite their association
with the diseased state, we could not use them as a biomarker tool. Therefore,
our research was extended to include a multivariate analysis approach resulting
in the identification and selection of a group of 20 genes that showed a clear
potential in detecting and correctly classify Parkinson Disease samples even in
the presence of other neurodegenerative disorders.


title: Search Improves Label for Active Learning

abstract:
  We investigate active learning with access to two distinct oracles: Label
(which is standard) and Search (which is not). The Search oracle models the
situation where a human searches a database to seed or counterexample an
existing solution. Search is stronger than Label while being natural to
implement in many situations. We show that an algorithm using both oracles can
provide exponentially large problem-dependent improvements over Label alone.


title:
Supra-operonic clusters of functionally related genes (SOCs) are a
  source of horizontal gene co-transfers

abstract:
  Adaptation of bacteria occurs predominantly via horizontal gene transfer
(HGT). While it is widely recognized that horizontal acquisitions frequently
encompass multiple genes, it is unclear what the size distribution of
successfully transferred DNA segments looks like and what evolutionary forces
shape this distribution. Here, we identified 1790 gene family pairs that were
consistently co-gained on the same branches across a phylogeny of 53 E. coli
strains. We estimated a lower limit of their genomic distances at the time they
were transferred to their host genomes; this distribution shows a sharp upper
bound at 30 kb. The same gene-pairs can have larger distances (up to 70 kb) in
other genomes. These more distant pairs likely represent recent acquisitions
via transduction that involve the co-transfer of excised prophage genes, as
they are almost always associated with intervening phage-associated genes. The
observed distribution of genomic distances of co-transferred genes is much
broader than expected from a model based on the co-transfer of genes within
operons; instead, this distribution is highly consistent with the size
distribution of supra-operonic clusters (SOCs), groups of co-occurring and
co-functioning genes that extend beyond operons. Thus, we propose that SOCs
form a basic unit of horizontal gene transfer.


title:
On closure operators related to maximal tricliques in tripartite
  hypergraphs

abstract:
  Triadic Formal Concept Analysis (3FCA) was introduced by Lehman and Wille
almost two decades ago. And many researchers work in Data Mining and Formal
Concept Analysis using the notions of closed sets, Galois and closure
operators, closure systems, but up-to-date even though that different
researchers actively work on mining triadic and n-ary relations, a proper
closure operator for enumeration of triconcepts, i.e. maximal triadic cliques
of tripartite hypergaphs, was not introduced. In this paper we show that the
previously introduced operators for obtaining triconcepts and maximal connected
and complete sets (MCCSs) are not always consistent and provide the reader with
a definition of valid closure operator and associated set system. Moreover, we
study the difficulties of related problems from order-theoretic and
combinatorial point view as well as provide the reader with justifications of
the complexity classes of these problems.


title: On the Law of Large Numbers for Discrete Fourier Transform

abstract:
  We establish the rate of convergence in the strong law of large numbers of
discrete Fourier Transform of the identically distributed random variables with
finite moment of order p, where 1<p<2.


title: Mixed OPEs in ${\mathcal N}=2$ Superconformal Theories

abstract:
  Using superspace techniques, we compute the mixed OPE between an ${\mathcal
N}=2$ stress-tensor multiplet, a chiral multiplet and a flavor current
multiplet. We perform a detailed analysis of the three-point function between
two of the mentioned multiplets and a third arbitrary operator. We then solve
all the constraints coming from the ${\mathcal N}=2$ superconformal symmetry
and from the equations of motion and/or conservation equations, and obtain all
the possible operators that can appear in the expansion. This calculation is
the first step towards a more general superconformal block analysis of mixed
correlators in ${\mathcal N}=2$ theories.


title: Disformal scalars as dark matter candidates: Branon phenomenology

abstract:
  Scalar particles coupled to the Standard Model fields through a disformal
coupling arise in different theories, such as massive gravity or brane-world
models. We will review the main phenomenology associated with such particles.
Distinctive disformal signatures could be measured at colliders and with
astrophysical observations. The phenomenological relevance of the disformal
coupling demands the introduction of a set of symmetries, which may ensure the
stability of these new degrees of freedom. In such a case, they constitute
natural dark matter candidates since they are generally massive and weakly
coupled. We will illustrate these ideas by paying particular attention to the
branon case, since these questions arise naturally in brane-world models with
low tension, where they were first discussed.


title: Self-shrinking Platonic solids

abstract:
  We construct new embedded self-shrinkers of genus 3, 5, 7, 11 and 19 using
variational methods. Our self-shrinkers resemble doublings of the Platonic
solids and were discovered numerically by D. Chopp in 1994.


title:
Local times of stochastic differential equations driven by fractional
  Brownian motions

abstract:
  In this paper, we study the existence and (H\"older) regularity of local
times of stochastic differential equations driven by fractional Brownian
motions. In particular, we show that in one dimension and in the rough case
H<1/2, the H\"older exponent (in t) of the local time is 1-H, where H is the
Hurst parameter of the driving fractional Brownian motion.


title:
Performance guarantees for model-based Approximate Dynamic Programming
  in continuous spaces

abstract:
  We study both the value function and Q-function formulation of the Linear
Programming approach to Approximate Dynamic Programming. The approach is
model-based and optimizes over a restricted function space to approximate the
value function or Q-function. Working in the discrete time, continuous space
setting, we provide guarantees for the fitting error and online performance of
the policy. In particular, the online performance guarantee is obtained by
analyzing an iterated version of the greedy policy, and the fitting error
guarantee by analyzing an iterated version of the Bellman inequality. These
guarantees complement the existing bounds that appear in the literature. The
Q-function formulation offers benefits, for example, in decentralized
controller design, however it can lead to computationally demanding
optimization problems. To alleviate this drawback, we provide a condition that
simplifies the formulation, resulting in improved computational times.


title:
Multi-shot multi-channel diffusion data recovery using structured
  low-rank matrix completion

abstract:
  Purpose: To introduce a novel method for the recovery of multi-shot diffusion
weighted (MS-DW) images from echo-planar imaging (EPI) acquisitions.
  Methods: Current EPI-based MS-DW reconstruction methods rely on the explicit
estimation of the motion- induced phase maps to recover the unaliased images.
In the new formulation, the k-space data of the unaliased DWI is recovered
using a structured low-rank matrix completion scheme, which does not require
explicit estimation of the phase maps. The structured matrix is obtained as the
lifting of the multi-shot data. The smooth phase-modulations between shots
manifest as null-space vectors of this matrix, which implies that the
structured matrix is low-rank. The missing entries of the structured matrix are
filled in using a nuclear-norm minimization algorithm subject to the
data-consistency. The formulation enables the natural introduction of
smoothness regularization, thus enabling implicit motion-compensated recovery
of fully-sampled as well as under-sampled MS-DW data.
  Results: Our experiments on in-vivo data show effective removal of the
ghosting artifacts arising from intershot motion in MS-DW data using the
proposed method. The performance is comparable and better in certain cases than
conventional phase-based methods.
  Conclusion: The proposed method can achieve effective unaliasing of
fully/under-sampled MS-DW images without using explicit phase estimates.


title: Temporal Network Analysis of Literary Texts

abstract:
  We study temporal networks of characters in literature focusing on "Alice's
Adventures in Wonderland" (1865) by Lewis Carroll and the anonymous "La Chanson
de Roland" (around 1100). The former, one of the most influential pieces of
nonsense literature ever written, describes the adventures of Alice in a
fantasy world with logic plays interspersed along the narrative. The latter, a
song of heroic deeds, depicts the Battle of Roncevaux in 778 A.D. during
Charlemagne's campaign on the Iberian Peninsula. We apply methods recently
developed by Taylor and coworkers \cite{Taylor+2015} to find time-averaged
eigenvector centralities, Freeman indices and vitalities of characters. We show
that temporal networks are more appropriate than static ones for studying
stories, as they capture features that the time-independent approaches fail to
yield.


title: The canonical basis of the quantum adjoint representation

abstract:
  We identify the canonical basis of the quantum adjoint representation of a
quantized enveloping algebra with a basis that we defined before the theory of
canonical bases was available.


title: A Simple Approach to Sparse Clustering

abstract:
  Consider the problem of sparse clustering, where it is assumed that only a
subset of the features are useful for clustering purposes. In the framework of
the COSA method of Friedman and Meulman, subsequently improved in the form of
the Sparse K-means method of Witten and Tibshirani, a natural and simpler
hill-climbing approach is introduced. The new method is shown to be competitive
with these two methods and others.


title:
Comment on "Normalization of quasinormal modes in leaky optical cavities
  and plasmonic resonators"

abstract:
  Recently, Kristensen, Ge and Hughes have compared [Phys. Rev. A 92, 053810
(2015)] three different methods for normalization of quasinormal modes in open
optical systems, and concluded that they all provide the same result. We show
here that this conclusion is incorrect and illustrate that the normalization of
[Opt. Lett. 37, 1649 (2012)] is divergent for any optical mode having a finite
quality factor, and that the Silver-Mueller radiation condition is not
fulfilled for quasinormal modes.


title:
Zero temperature non-plateau magnetization and magnetocaloric effect in
  an Ising-XYZ diamond chain structure

abstract:
  Zero temperature non-plateau magnetization is a peculiar property of a
quantum spin chain and it sometimes appears due to different gyromagnetic
factors. In this study, we illustrate a quite unusual nonplateau magnetization
property driven by XY-anisotropy in an Ising-XYZ diamond chain. Two particles
with spin-1/2 are bonded by XYZ coupling and they are responsible for the
emergence of non-plateau magnetization. These two quantum operator spins are
bonded to two nodal Ising spins and this process is repeated infinitely to
yield a diamond chain structure. Due to the non-plateau magnetization property,
we focus our discussion on the magnetocaloric effect of this model by
presenting the isentropic curves and the Gruneisen parameters, as well as
showing the regions where the model exhibits an efficient magnetocaloric
effect. Due to the existence of two phases located very close to each other,
the strong XY-anisotropy exhibits a particular behavior with a magnetocaloric
effect, with a wider interval in the magnetic field, where the magnetocaloric
effect is efficient.


title: A Statistical Model for Stroke Outcome Prediction and Treatment Planning

abstract:
  Stroke is a major cause of mortality and long--term disability in the world.
Predictive outcome models in stroke are valuable for personalized treatment,
rehabilitation planning and in controlled clinical trials. In this paper we
design a new model to predict outcome in the short-term, the putative
therapeutic window for several treatments. Our regression-based model has a
parametric form that is designed to address many challenges common in medical
datasets like highly correlated variables and class imbalance. Empirically our
model outperforms the best--known previous models in predicting short--term
outcomes and in inferring the most effective treatments that improve outcome.


title: Historical Hamiltonian Dynamics: symplectic and covariant

abstract:
  This paper presents a "historical" formalism for dynamical systems, in its
Hamiltonian version (Lagrangian version was presented in a previous paper). It
is universal, in the sense that it applies equally well to time dynamics and to
field theories on space-time. It is based on the notion of (Hamiltonian)
histories, which are sections of the (extended) phase space bundle. It is
developed in the space of sections, in contradistinction with the usual
formalism which works in the bundle manifold. In field theories, the formalism
remains covariant and does not require a spitting of space-time. It considers
space-time exactly in the same manner than time in usual dynamics, both being
particular cases of the evolution domain. It applies without modification when
the histories (the fields) are forms rather than scalar functions, like in
electromagnetism or in tetrad general relativity. We develop a differential
calculus in the infinite dimensional space of histories. It admits a
(generalized) symplectic form which does not break the covariance. We develop a
covariant symplectic formalism, with generalizations of usual notions like
current conservation, Hamiltonian vector-fields, evolution vector-field,
brackets, ... The usual multisymplectic approach derives form it, as well as
the symplectic form introduced by Crnkovic and Witten in the space of
solutions.


title:
Isotropic extragalactic flux from dark matter annihilations: lessons
  from interacting dark matter scenarios

abstract:
  The extragalactic gamma-ray and neutrino emission may have a contribution
from dark matter (DM) annihilations. In the case of discrepancies between
observations and standard predictions, one could infer the DM pair annihilation
cross section into cosmic rays by studying the shape of the energy spectrum. So
far all analyses of the extragalactic DM signal have assumed the standard
cosmological model (LambdaCDM) as the underlying theory. However, there are
alternative DM scenarios where the number of low-mass objects is significantly
suppressed. Therefore the characteristics of the gamma-ray and neutrino
emission in these models may differ from LambdaCDM as a result. Here we show
that the extragalactic isotropic signal in these alternative models has a
similar energy dependence to that in LambdaCDM, but the overall normalisation
is reduced. The similarities between the energy spectra combined with the flux
suppression could lead one to misinterpret possible evidence for models beyond
LambdaCDM as being due to CDM particles annihilating with a much weaker cross
section than expected.


title:
Unifying abstract inexact convergence theorems and block coordinate
  variable metric iPiano

abstract:
  An abstract convergence theorem for a class of generalized descent methods
that explicitly models relative errors is proved. The convergence theorem
generalizes and unifies several recent abstract convergence theorems. It is
applicable to possibly non-smooth and non-convex lower semi-continuous
functions that satisfy the Kurdyka--Lojasiewicz (KL) inequality, which
comprises a huge class of problems. Most of the recent algorithms that
explicitly prove convergence using the KL inequality can cast into the abstract
framework in this paper and, therefore, the generated sequence converges to a
stationary point of the objective function. Additional flexibility compared to
related approaches is gained by a descent property that is formulated with
respect to a function that is allowed to change along the iterations, a generic
distance measure, and an explicit/implicit relative error condition with
respect to finite linear combinations of distance terms. As an application of
the gained flexibility, the convergence of a block coordinate variable metric
version of iPiano (an inertial forward--backward splitting algorithm) is
proved, which performs favorably on an inpainting problem with a
Mumford--Shah-like regularization from image processing.


title: Baryon spectroscopy with polarization observables from CLAS

abstract:
  The spectrum of nucleon excitations is dominated by broad and overlapping
resonances. Polarization observables in photoproduction reactions are key in
the study of these excitations. They give indispensable constraints to
partial-wave analyses and help clarify the spectrum. A series of polarized
photoproduction experiments have been performed at the Thomas Jefferson
National Accelerator Facility with the CEBAF Large Acceptance Spectrometer
(CLAS). These measurements include data with linearly and circularly polarized
tagged-photon beams, longitudinally and transversely polarized proton and
deuterium targets, and recoil polarizations through the observation of the weak
decay of hyperons. An overview of these studies and recent results will be
given.


title:
Automatic Generation of Formula Simplifiers based on Conditional Rewrite
  Rules

abstract:
  This paper addresses the problem of creating simplifiers for logic formulas
based on conditional term rewriting. In particular, the paper focuses on a
program synthesis application where formula simplifications have been shown to
have a significant impact. We show that by combining machine learning
techniques with constraint-based synthesis, it is possible to synthesize a
formula simplifier fully automatically from a corpus of representative
problems, making it possible to create formula simplifiers tailored to specific
problem domains. We demonstrate the benefits of our approach for synthesis
benchmarks from the SyGuS competition and automated grading.


title:
Equatorial geodesics in ergoregion of dirty black holes and zero energy
  observers

abstract:
  We consider equatorial motion of particles in the ergoregion of generic
axially symmetric rotating black holes. We introduce the notion of zero energy
observers (ZEOs) as counterparts to known zero angular observers (ZAMOs). It is
shown that the trajectory of a ZEO has precisely one turning point that lies on
the boundary of the ergoregion for photons and inside the ergoregion for
massive particles. As a consequence, such trajectories enter the ergosphere
from the white hole region under horizon and leave it crossing the horizon
again (entering the black hole region). The angular velocity of ZEO does not
depend on the angular momentum. For particles with $% E>0$ this velocity is
bigger than for a ZEO, for $E<0$ it is smaller. General limitations on the
angular momentum are found depending on whether the trajectory lies entirely
inside the ergoregion, bounces back from the boundary or intersects it. These
results generalize the recent observations made in A. A. Grib, Yu. V. Pavlov,
arXiv:1601.02592 for the Kerr metric. We also show that collision between a ZEO
and a particle with $E\neq 0$ near a black hole can lead to the unbound energy
in the centre of mass thus giving a special version of the Ba\~{n}ados - Silk -
West effect.


title: Cosmology for quadratic gravity in generalized Weyl geometry

abstract:
  A class of vector-tensor theories arises naturally in the framework of
quadratic gravity in spacetimes with linear vector distortion. Requiring the
absence of ghosts for the vector field imposes an interesting condition on the
allowed connections with vector distortion: the resulting one-parameter family
of connections generalises the usual Weyl geometry with polar torsion. The
cosmology of this class of theories is studied, focusing on isotropic solutions
wherein the vector field is dominated by the temporal component. De Sitter
attractors are found and inhomogeneous perturbations around such backgrounds
are analysed. In particular, further constraints on the models are imposed by
excluding pathologies in the scalar, vector and tensor fluctuations. Various
exact background solutions are presented, describing a constant and an evolving
dark energy, a bounce and a self-tuning de Sitter phase. However, the latter
two scenarios are not viable under a closer scrutiny.


title: Efficient computations of quantum canonical Gibbs state in phase space

abstract:
  The Gibbs canonical state, as a maximum entropy density matrix, represents a
quantum system in equilibrium with a thermostat. This state plays an essential
role in thermodynamics and serves as the initial condition for nonequilibrium
dynamical simulations. We solve a long standing problem for computing the Gibbs
state Wigner function with nearly machine accuracy by solving the Bloch
equation directly in the phase space. Furthermore, the algorithms are provided
yielding high quality Wigner distributions for pure stationary states as well
as for Thomas-Fermi and Bose-Einstein distributions. The developed numerical
methods furnish a long-sought efficient computation framework for
nonequilibrium quantum simulations directly in the Wigner representation.

categories: quant-ph cond-mat.stat-mech math-ph math.MP


title:
Parsec-scale radio morphology and variability of a changing-look AGN:
  the case of Mrk 590

abstract:
  We investigate the origin of the parsec-scale radio emission from the
changing-look active galactic nucleus (AGN) of Mrk 590, and examine whether the
radio power has faded concurrently with the dramatic decrease in accretion
rates observed between the 1990s and the present. We detect a compact core at
1.6 GHz and 8.4 GHz using new Very Long Baseline Array observations, finding no
significant extended, jet-like features down to $\sim$1 pc scales. The flat
spectral index ($\alpha_{1.6}^{8.4} = 0.03$) and high brightness temperature
($T_{\rm b} \sim 10^{8}\,\rm K$) indicate self-absorbed synchrotron emission
from the AGN. The radio to X-ray luminosity ratio of ${\rm log}(L_{\rm
R}/L_{\rm X}) \sim -5$, similar to that in coronally active stars, suggests
emission from magnetized coronal winds, although unresolved radio jets are also
consistent with the data. Comparing new Karl G. Jansky Very Large Array
measurements with archival and published radio flux densities, we find $46\%$,
$34\%$, and (insignificantly) $13\%$ flux density decreases between the 1990s
and the year 2015 at 1.4 GHz, 5 GHz and 8.4 GHz respectively. This trend,
possibly due to the expansion and fading of internal shocks within the
radio-emitting outflow after a recent outburst, is consistent with the decline
of the optical-UV and X-ray luminosities over the same period. Such correlated
variability demonstrates the AGN accretion-outflow connection, confirming that
the changing-look behaviour in Mrk 590 originates from variable accretion rates
rather than dust obscuration. The present radio and X-ray luminosity
correlation, consistent with low/hard state accretion, suggests that the black
hole may now be accreting in a radiatively inefficient mode.


title: Reliability estimates for three factor score predictors

abstract:
  Estimates for the reliability of Thurstone's regression factor score
predictor, Bartlett's factor score predictor, and McDonald's factor score
predictor were proposed. As in Kuder-Richardson's formula, the reliability
estimates are based on a hypothetical set of equivalent items. The reliability
estimates were compared by means of simulation studies. Overall, the
reliability estimates were largest for the regression score predictor, so that
the reliability estimates for Bartlett's and McDonald's factor score predictor
should be compared with the reliability of the regression score predictor,
whenever Bartlett's or McDonald's factor score predictor are to be computed. An
R-script and an SPSS-script for the computation of the respective reliability
estimates is presented.


title: The IBM 2016 Speaker Recognition System

abstract:
  In this paper we describe the recent advancements made in the IBM i-vector
speaker recognition system for conversational speech. In particular, we
identify key techniques that contribute to significant improvements in
performance of our system, and quantify their contributions. The techniques
include: 1) a nearest-neighbor discriminant analysis (NDA) approach that is
formulated to alleviate some of the limitations associated with the
conventional linear discriminant analysis (LDA) that assumes Gaussian
class-conditional distributions, 2) the application of speaker- and
channel-adapted features, which are derived from an automatic speech
recognition (ASR) system, for speaker recognition, and 3) the use of a deep
neural network (DNN) acoustic model with a large number of output units (~10k
senones) to compute the frame-level soft alignments required in the i-vector
estimation process. We evaluate these techniques on the NIST 2010 speaker
recognition evaluation (SRE) extended core conditions involving telephone and
microphone trials. Experimental results indicate that: 1) the NDA is more
effective (up to 35% relative improvement in terms of EER) than the traditional
parametric LDA for speaker recognition, 2) when compared to raw acoustic
features (e.g., MFCCs), the ASR speaker-adapted features provide gains in
speaker recognition performance, and 3) increasing the number of output units
in the DNN acoustic model (i.e., increasing the senone set size from 2k to 10k)
provides consistent improvements in performance (for example from 37% to 57%
relative EER gains over our baseline GMM i-vector system). To our knowledge,
results reported in this paper represent the best performances published to
date on the NIST SRE 2010 extended core tasks.


title: Constraints on the FRB rate at 700-900 MHz

abstract:
  Estimating the all-sky rate of fast radio bursts (FRBs) has been difficult
due to small-number statistics and the fact that they are seen by disparate
surveys in different regions of the sky. In this paper we provide limits for
the FRB rate at 800 MHz based on the only burst detected at frequencies below
1.4 GHz, FRB 110523. We discuss the difficulties in rate estimation,
particularly in providing an all-sky rate above a single fluence threshold. We
find an implied rate between 700-900 MHz that is consistent with the rate at
1.4 GHz, scaling to $6.4^{+29.5}_{-5.0} \times 10^3$\,sky$^{-1}$\,day$^{-1}$
for an HTRU-like survey. This is promising for upcoming experiments below a GHz
like CHIME and UTMOST, for which we forecast detection rates. Given 110523's
discovery at 32$\sigma$ with nothing weaker detected, down to the threshold of
8$\sigma$, we find consistency with a Euclidean flux distribution but disfavour
steep distributions, ruling out $\gamma > 2.2$.


title:
Nonlinear modal interactions in parity-time (${\cal PT}$) symmetric
  lasers

abstract:
  Parity-time ($\cal PT$) symmetric lasers have attracted considerable
attention lately due to their promising applications and intriguing properties,
such as free spectral range doubling and single-mode lasing. In this work we
discuss nonlinear modal interactions in these laser systems under steady state
conditions, and we demonstrate that several gain clamping scenarios can occur
for lasing operation in the $\cal PT$-symmetric and $\cal PT$-broken phases. In
particular, we show that, depending on the system's design and the external
pump profile, its operation in the nonlinear regime falls into two different
categories: in one the system is frozen in the $\cal PT$ phase space as the
applied gain increases, while in the other the system is pulled towards its
exceptional point. These features are first illustrated by a coupled mode
formalism and later verified by employing the Steady-state Ab-initio Laser
Theory (SALT). Our findings shine light on the robustness of single-mode
operation in these lasers against saturation nonlinearity in $\cal
PT$-symmetric lasers.


title:
Dynamics of dipoles and vortices in nonlinearly-coupled
  three-dimensional harmonic oscillators

abstract:
  The dynamics of a pair of three-dimensional matter-wave harmonic oscillators
(HOs) coupled by a repulsive cubic nonlinearity is investigated through direct
simulations of the respective GrossPitaevskii equations (GPEs) and with the
help of the finite-mode Galerkin approximation (GA),which represents the two
interacting wave functions by a superposition of 3 + 3 HO p -wave
eigenfunctions with orbital and magnetic quantum numbers l = 1 and m = 1; 0; 1.
First, the GA very accurately predicts a broadly degenerate set of the system's
ground states in the p -wave manifold, in the form of complexes built of a
dipole coaxial with another dipole or vortex, as well as complexes built of
mutually orthogonal dipoles. Next, pairs of non-coaxial vortices and/or
dipoles, including pairs of mutually perpendicular vortices, develop remarkably
stable dynamical regimes, which feature periodic exchange of the angular
momentum and periodic switching between dipoles and vortices. For a moderately
strong nonlinearity, simulations of the coupled GPEs agree very well with
results produced by the GA, demonstrating that the dynamics is accurately
spanned by the set of six modes limited to l = 1.


title: Conformal Bootstrap Dashing Hopes of Emergent Symmetry

abstract:
  We use the conformal bootstrap program to derive necessary conditions for
emergent symmetry enhancement from discrete symmetry (e.g. $\mathbb{Z}_n$) to
continuous symmetry (e.g. $U(1)$) under the renormalization group flow. In
three dimensions, in order for $\mathbb{Z}_2$ symmetry to be enhanced to $U(1)$
symmetry, the conformal bootstrap program predicts that the scaling dimension
of the order parameter field at the infrared conformal fixed point must satisfy
$\Delta_1 > 1.08$. We also obtain the similar conditions for $\mathbb{Z}_3$
symmetry with $\Delta_{1} > 0.580$ and $\mathbb{Z}_4$ symmetry with $\Delta_1 >
0.504$ from the simultaneous conformal bootstrap analysis of multiple
four-point functions. Our necessary conditions impose severe constraints on
many controversial physics such as the chiral phase transition in QCD, the
deconfinement criticality in N\'eel-VBS transitions and anisotropic
deformations in critical $O(n)$ models. In some cases, we find that the
conformal bootstrap program dashes hopes of emergent symmetry enhancement
proposed in the literature.


title:
Interface of graphene nanopore and hexagonal boron nitride as a sensing
  device

abstract:
  The atomically-precise controlled synthesis of graphene stripes embedded in
hexagonal boron nitride opens up new possibilities for the construction of
nanodevices with applications in sensing. Here, we explore properties related
to electronic structure and quantum transport of a graphene nanoroad embedded
in hexagonal boron nitride, using a combination of density functional theory
and the non-equilibrium Green's functions method to calculate the electric
conductance. We find that the graphene nanoribbon signature is preserved in the
transmission spectra and that the local current is mainly confined to the
graphene domain. When a properly sized nanopore is created in the graphene part
of the system, the electronic current becomes restricted to a carbon chain
running along the border with hexagonal boron nitride. This circumstance could
allow the hypothetical nanodevice to become highly sensitive to the electronic
nature of molecules passing through the nanopore, thus opening up ways for the
detection of gas molecules, amino acids, or even DNA sequences based on a
measurement of the real-time conductance modulation in the graphene nanoroad.


title: Di-photon resonance and Dark Matter as heavy pions

abstract:
  We analyse confining gauge theories where the 750 GeV di-photon resonance is
a composite techni-pion that undergoes anomalous decays into SM vectors. These
scenarios naturally contain accidentally stable techni-pions Dark Matter
candidates. The di-photon resonance can acquire a larger width by decaying into
Dark Matter through the CP-violating $\theta$-term of the new gauge theory
reproducing the cosmological Dark Matter density as thermal relic.


title:
An Effective Field Theory Approach to the Stabilization of $^8$Be in a
  QED Plasma

abstract:
  We use effective field theory to study the
$\mathrm{\alpha}$-$\mathrm{\alpha}$ resonant scattering in a finite-temperature
QED plasma. The static plasma screening effect causes the resonance state
$^8$Be to live longer and eventually leads to the formation of a bound state
when $m_D\gtrsim 0.3$ MeV. We speculate that this effect may have implications
on the rates of cosmologically and astrophysically relevant nuclear reactions
involving $\mathrm{\alpha}$ particles.


title:
Improved power-series method for confined one-dimensional
  quantum-mechanical problems

abstract:
  We propose two improvements to the well-known power series method for
confined one-dimensional quantum-mechanical problems. They consist of the
addition of a variational step were the energy plays the role of a variational
parameter. We compare the rate of convergence of the three methods on an
exactly-solvable model. We also outline possible generalizations of the
approaches to more complex problems.


title: When does inequality freeze an economy?

abstract:
  Inequality and its consequences are the subject of intense recent debate.
Using a simplified model of the economy, we address the relation between
inequality and liquidity, the latter understood as the frequency of economic
exchanges. Assuming a Pareto distribution of wealth for the agents, that is
consistent with empirical findings, we find an inverse relation between wealth
inequality and overall liquidity. We show that an increase in the inequality of
wealth results in an even sharper concentration of the liquid financial
resources. This leads to a congestion of the flow of goods and the arrest of
the economy when the Pareto exponent reaches one.


title: Scale Structures and C*-algebras

abstract:
  The purpose of this paper is to investigate the duality between large scale
and small scale. It is done by creating a connection between C*-algebras and
scale structures. In the commutative case we consider C*-subalgebras of
$C^b(X)$, the C*-algebra of bounded complex-valued functions on $X$. Namely,
each C*-subalgebra $\mathscr{C}$ of $C^b(X)$ induces both a small scale
structure on $X$ and a large scale structure on $X$. The small scale structure
induced on $X$ corresponds (or is analogous) to the restriction of $C^b(h(X))$
to $X$, where $h(X)$ is the Higson compactification. The large scale structure
induced on $X$ is a generalization of the $C_0$-coarse structure of N.Wright.
Conversely, each small scale structure on $X$ induces a C*-subalgebra of
$C^b(X)$ and each large scale structure on $X$ induces a C*-subalgebra of
$C^b(X)$. To accomplish the full correspondence between scale structures on $X$
and C*-subalgebras of $C^b(X)$ we need to enhance the scale structures to what
we call hybrid structures. In the noncommutative case we consider
C*-subalgebras of bounded operators $B(l_2(X))$.


title: GPView: a program for wave function analysis and visualization

abstract:
  In this manuscript, we will introduce a recently developed program GPView,
which can be used for wave function analysis and visualization. The wave
function analysis module can calculate and generate 3D cubes for various types
of molecular orbitals and electron density of electronic excited states, such
as natural orbitals, natural transition orbitals, natural difference orbitals,
hole-particle density, detachment-attachment density and transition density.
The visualization module of GPView can display molecular and electronic
(iso-surfaces) structures. It is also able to animate single trajectories of
molecular dynamics and non-adiabatic excited state molecular dynamics using the
data stored in existing files. There are also other utilities to extract and
process the output of quantum chemistry calculations. The GPView provides full
graphic user interface (GUI), so it very easy to use. It is available from
website \href{http://life-tp.com/gpview}{http://life-tp.com/gpview}.


title: Is The Gamma-Ray Source 3FGL J2212.5+0703 A Dark Matter Subhalo?

abstract:
  In a previous paper, we pointed out that the gamma-ray source 3FGL
J2212.5+0703 shows evidence of being spatially extended. If a gamma-ray source
without detectable emission at other wavelengths were unambiguously determined
to be spatially extended, it could not be explained by known astrophysics, and
would constitute a smoking gun for dark matter particles annihilating in a
nearby subhalo. With this prospect in mind, we scrutinize the gamma-ray
emission from this source, finding that it prefers a spatially extended profile
over that of a single point-like source with 5.1 sigma statistical
significance. We also use a large sample of active galactic nuclei and other
known gamma-rays sources as a control group, confirming, as expected, that
statistically significant extension is rare among such objects. We argue that
the most likely (non-dark matter) explanation for this apparent extension is a
pair of bright gamma-ray sources that serendipitously lie very close to each
other, and estimate that there is a chance probability of ~2% that such a pair
would exist somewhere on the sky. In the case of 3FGL J2212.5+0703, a model
with a second gamma-ray point source at the location of a known BZCAT/CRATES
radio source yields fits that are comparable in quality to those obtained for a
single extended source. If 3FGL J2212.5+0703 is a dark matter subhalo, it would
imply that dark matter particles have a mass of ~18-33 GeV and an annihilation
cross section on the order of sigma v ~ 10^-26 cm^3/s (for the representative
case of annihilations to bb), similar to the values required to generate the
Galactic Center gamma-ray excess.

categories: astro-ph.HE astro-ph.CO astro-ph.GA hep-ph


title:
Turbulent Cosmic-Ray Reacceleration and the Curved Radio Spectrum of the
  Radio Relic in the Sausage Cluster

abstract:
  It has often been thought that the northern radio relic in the galaxy cluster
CIZA J2242.8+5301 (the "Sausage" Cluster) is associated with cosmic ray (CR)
electrons that are accelerated at a shock through the diffusive shock
acceleration (DSA) mechanism. However, recent radio observations have shown
that the radio spectrum is curved, which is inconsistent with the prediction of
a simple DSA model. Moreover, the CR electron spectrum before being affected by
radiative cooling seems to be too hard for DSA. In this study, we show that
these facts are natural consequences if the electrons are reaccelerated in
turbulence downstream of the shock. In this model, DSA is not the main
mechanism for generating high-energy electrons. We find that the mean free path
of the electrons should be much shorter than the Coulomb mean free path for
efficient reacceleration. The scale of the turbulent eddies must be smaller
than the width of the relic. We also predict hard X-ray spectra of inverse
Compton scattering of photons.