title: Citations: Indicators of Quality? The Impact Fallacy

abstract:
  We argue that citation is a composed indicator: short-term citations can be
considered as currency at the research front, whereas long-term citations can
contribute to the codification of knowledge claims into concept symbols.
Knowledge claims at the research front are more likely to be transitory and are
therefore problematic as indicators of quality. Citation impact studies focus
on short-term citation, and therefore tend to measure not epistemic quality,
but involvement in current discourses in which contributions are positioned by
referencing. We explore this argument using three case studies: (1) citations
of the journal Soziale Welt as an example of a venue that tends not to publish
papers at a research front, unlike, for example, JACS; (2) Robert Merton as a
concept symbol across theories of citation; and (3) the Multi-RPYS
("Multi-Referenced Publication Year Spectroscopy") of the journals
Scientometrics, Gene, and Soziale Welt. We show empirically that the
measurement of "quality" in terms of citations can further be qualified:
short-term citation currency at the research front can be distinguished from
longer-term processes of incorporation and codification of knowledge claims
into bodies of knowledge. The recently introduced Multi-RPYS can be used to
distinguish between short-term and long-term impacts.


title: Correlations of multiplicative functions and applications

abstract:
  We give an asymptotic formula for correlations \[ \sum_{n\le
x}f_1(P_1(n))f_2(P_2(n))\cdot \dots \cdot f_m(P_m(n))\] where $f\dots,f_m$ are
bounded "pretentious" multiplicative functions, under certain natural
hypotheses. We then deduce several desirable consequences:\ First, we
characterize all multiplicative functions $f:\mathbb{N}\to\{-1,+1\}$ with
bounded partial sums. This answers a question of Erd\H{o}s from $1957$ in the
form conjectured by Tao. Second, we show that if the average of the first
divided difference of multiplicative function is zero, then either $f(n)=n^s$
for $\operatorname{Re}(s)<1$ or $|f(n)|$ is small on average. This settles an
old conjecture of K\'atai. Third, we apply our theorem to count the number of
representations of $n=a+b$ where $a,b$ belong to some multiplicative subsets of
$\mathbb{N}.$ This gives a new "circle method-free" proof of the result of
Br\"udern.


title: Adaptive-Latency DRAM (AL-DRAM)

abstract:
  This paper summarizes the idea of Adaptive-Latency DRAM (AL-DRAM), which was
published in HPCA 2015. The key goal of AL-DRAM is to exploit the extra margin
that is built into the DRAM timing parameters to reduce DRAM latency. The key
observation is that the timing parameters are dictated by the worst-case
temperatures and worst-case DRAM cells, both of which lead to small amount of
charge storage and hence high access latency. One can therefore reduce latency
by adapting the timing parameters to the current operating temperature and the
current DIMM that is being accessed. Using an FPGA-based testing platform, our
work first characterizes the extra margin for 115 DRAM modules from three major
manufacturers. The experimental results demonstrate that it is possible to
reduce four of the most critical timing parameters by a minimum/maximum of
17.3%/54.8% at 55C while maintaining reliable operation. AL-DRAM adaptively
selects between multiple different timing parameters for each DRAM module based
on its current operating condition. AL-DRAM does not require any changes to the
DRAM chip or its interface; it only requires multiple different timing
parameters to be specified and supported by the memory controller. Real system
evaluations show that AL-DRAM improves the performance of memory-intensive
workloads by an average of 14% without introducing any errors.


title: On metrics on 2-orbifolds all of whose geodesics are closed

abstract:
  We show that the geodesic period spectrum of a Riemannian 2-orbifold all of
whose geodesics are closed depends, up to a constant, only on its orbifold
topology and compute it. In the manifold case we recover the fact proved by
Gromoll, Grove and Pries that all prime geodesics have the same length. In the
appendix we partly strengthen our result in terms of conjugacy of contact forms
and explain how to deduce rigidity on the real projective plane based on a
systolic inequality due to Pu. (We do not use a Lusternik-Schnirelmann type
theorem on the existence of at least three simple closed geodesics.)


title: Various Arithmetic Functions and their Applications

abstract:
  Over 300 sequences and many unsolved problems and conjectures related to them
are presented herein. These notions, definitions, unsolved problems, questions,
theorems corollaries, formulae, conjectures, examples, mathematical criteria,
etc. on integer sequences, numbers, quotients, residues, exponents, sieves,
pseudo-primes squares cubes factorials, almost primes, mobile periodicals,
functions, tables, prime square factorial bases, generalized factorials,
generalized palindromes, so on.


title:
Scaling, cumulant ratios and height distribution of the ballistic
  deposition in 3+1 and 4+1 dimensions

abstract:
  We investigate the origin of the scaling corrections in ballistic deposition
models in high dimensions using the method proposed by Alves \textit{et al}.
[Phys Rev. E \textbf{90}, 052405 (20014)] in $d=2+1$ dimensions, where the
intrinsic width associated with the fluctuations of the height increments
during the deposition processes is explicitly taken into account. In the
present work, we show that this concept holds for $d=3+1$ and 4+1 dimensions.
We have found that growth and roughness exponents and dimensionless cumulant
ratios are in agreement with other models, presenting small finite-time
corrections to the scaling, that in principle belong to the Kardar-Parisi-Zhang
(KPZ) universality class in both $d=3+1$ and 4+1. Our results constitute a new
evidence that the upper critical dimension of the KPZ class, if it exists, is
larger than 4.


title:
Longitudinal Analysis of Discussion Topics in an Online Breast Cancer
  Community using Convolutional Neural Networks

abstract:
  Identifying topics of discussions in online health communities (OHC) is
critical to various applications, but can be difficult because topics of OHC
content are usually heterogeneous and domain-dependent. In this paper, we
provide a multi-class schema, an annotated dataset, and supervised classifiers
based on convolutional neural network (CNN) and other models for the task of
classifying discussion topics. We apply the CNN classifier to the most popular
breast cancer online community, and carry out a longitudinal analysis to show
topic distributions and topic changes throughout members' participation. Our
experimental results suggest that CNN outperforms other classifiers in the task
of topic classification, and that certain trajectories can be detected with
respect to topic changes.


title: On the fate of Birkhoff's theorem in Shape Dynamics

abstract:
  Spherically symmetric, asymptotically flat solutions of Shape Dynamics were
previously studied assuming standard falloff conditions for the metric and the
momenta. These ensure that the spacetime is asymptotically Minkowski, and that
the falloff conditions are Poincar\'e-invariant. These requirements however are
not legitimate in Shape Dynamics, which does not make assumptions on the
structure or regularity of spacetime. Analyzing the same problem in full
generality, I find that the system is underdetermined, as there is one function
of time that is not fixed by any condition and appears to have physical
relevance. This quantity can be fixed only by studying more realistic models
coupled with matter, and it turns out to be related to the dilatational
momentum of the matter surrounding the region under study.


title: On boundary detection

abstract:
  Given a sample of a random variable supported by a smooth compact manifold
$M\subset \mathbb{R}^d$, we propose a test to decide whether the boundary of
$M$ is empty or not with no preliminary support estimation. The test statistic
is based on the maximal distance between a sample point and the average of its
$k_n$-nearest neighbors. We prove that the level of the test can be estimated,
that, with probability one, its power is one for $n$ large enough, and that
there exists a consistent decision rule. Heuristics for choosing a convenient
value for the $k_n$ parameter and identifying observations close to the
boundary are also given. We provide a simulation study of the test.


title:
Perspectives on Software-Defined Networks: interviews with five leading
  scientists from the networking community

abstract:
  Software defined Networks (SDNs) have drawn much attention both from academia
and industry over the last few years. Despite the fact that underlying ideas
already exist through areas such as P2P applications and active networks (e.g.
virtual topologies and dynamic changes of the network via software), only now
has the technology evolved to a point where it is possible to scale the
implementations, which justifies the high interest in SDNs nowadays. In this
article, the JISA Editors invite five leading scientists from three continents
(Raouf Boutaba, David Hutchison, Raj Jain, Ramachandran Ramjee, and Christian
Esteve Rothenberg) to give their opinions about what is really new in SDNs. The
interviews cover whether big telecom and data center companies need to consider
using SDNs, if the new paradigm is changing the way computer networks are
understood and taught, and what are the open issues on the topic.


title: Survey of Important Issues in UAV Communication Networks

abstract:
  Unmanned Aerial Vehicles (UAVs) have enormous potential in the public and
civil domains. These are particularly useful in applications where human lives
would otherwise be endangered. Multi-UAV systems can collaboratively complete
missions more efficiently and economically as compared to single UAV systems.
However, there are many issues to be resolved before effective use of UAVs can
be made to provide stable and reliable context-specific networks. Much of the
work carried out in the areas of Mobile Ad Hoc Networks (MANETs), and Vehicular
Ad Hoc Networks (VANETs) does not address the unique characteristics of the UAV
networks. UAV networks may vary from slow dynamic to dynamic; have intermittent
links and fluid topology. While it is believed that ad hoc mesh network would
be most suitable for UAV networks yet the architecture of multi-UAV networks
has been an understudied area. Software Defined Networking (SDN) could
facilitate flexible deployment and management of new services and help reduce
cost, increase security and availability in networks. Routing demands of UAV
networks go beyond the needs of MANETS and VANETS. Protocols are required that
would adapt to high mobility, dynamic topology, intermittent links, power
constraints and changing link quality. UAVs may fail and the network may get
partitioned making delay and disruption tolerance an important design
consideration. Limited life of the node and dynamicity of the network leads to
the requirement of seamless handovers where researchers are looking at the work
done in the areas of MANETs and VANETs, but the jury is still out. As energy
supply on UAVs is limited, protocols in various layers should contribute
towards greening of the network. This article surveys the work done towards all
of these outstanding issues, relating to this new class of networks, so as to
spur further research in these areas.


title: Sbottoms of Natural NMSSM at the LHC

abstract:
  Search for the bottom squarks (sbottoms) at the Large Hadron Collider (LHC)
has recently assumed a heightened focus in the hunt for Supersymmetry (SUSY).
The popular framework of the Next-to-Minimal Supersymmetric Standard Model
(NMSSM) could conceive a naturally light sbottom which could easily be
consistent with available constraints from the experiments at the LHC.
Phenomenology of such sbottoms could in principle be as striking as that for a
light top squark (stop) thanks to a rather nontrivial neutralino sector (with
appreciable mixing among the neutral higgsinos and the singlino) that the
scenario gives rise to. Nonetheless, finding such sbottoms might require a
moderately large amount of data ($\sim 300$ $\text{fb}^{-1}$) at the 13 TeV run
of the LHC. A multi-channel analysis establishing a generic depletion of events
in the usual $2b$-$jets$ +$\text{\sout{E}}_T$ final state while registering, in
conjunction, characteristically significant rates in various multi-lepton final
states accompanied by $b$-$jets$ might point not only to the presence of light
sbottom(s) but could also shed crucial light on their compositions and the
(singlino) nature of the lightest SUSY particle (LSP).


title:
Characterization of multiple topological scales in multiplex networks
  through supra-Laplacian eigengaps

abstract:
  Multilayer networks have been the subject of intense research during the last
few years, as they represent better the interdependent nature of many real
world systems. Here, we address the question of describing the three different
structural phases in which a multiplex network might exist. We show that each
phase can be characterized by the presence of gaps in the spectrum of the
supra-Laplacian of the multiplex network. We therefore unveil the existence of
different topological scales in the system, whose relation characterizes each
phase. Moreover, by capitalizing on the coarse-grained representation that is
given in terms of quotient graphs, we explain the mechanisms that produce those
gaps as well as their dynamical consequences.


title:
Gravitational instantons with faster than quadratic curvature decay
  (III)

abstract:
  This is our third paper in a series on the gravitational instantons. In this
paper, we classify ALG and ALH gravitational instantons. In ALG case, we extend
Hein's construction slightly and show that it's the only ALG gravitational
instanton. In ALH case, we prove a Torelli-type theorem.


title:
Josephson oscillation linewidth of ion-irradiated YBa$_2$Cu$_3$O$_7$
  junctions

abstract:
  We report on the noise properties of ion-irradiated YBa$_2$Cu$_3$O$_7$
Josephson junctions. This work aims at investigating the linewidth of the
Josephson oscillation with a detector response experiment at $\simeq$132 GHz.
Experimental results are compared with a simple analytical model based on the
Likharev-Semenov equation and the de Gennes dirty limit approximation. We show
that the main source of low-frequency fluctuations in these junctions is the
broadband Johnson noise and that the excess ($\frac{1}{f}$) noise contribution
does not prevail in the temperature range of interest, as reported in some
other types of high-T$_c$ superconducting Josephson junctions. Finally, we
discuss the interest of ion-irradiated junctions to implement frequency-tunable
oscillators consisting of synchronized arrays of Josephson junctions.


title: A New Class of Operator Monotone Functions via Operator Means

abstract:
  In this paper, we obtain a new class of functions, which is developed via the
Hermite--Hadamard inequality for convex functions. The well-known one-one
correspondence between the class of operator monotone functions and operator
connections declares that the obtained class represents the weighted
logarithmic means. We shall also consider weighted identric mean and some
relationships between various operator means. Among many things, we extended
the weighted arithmetic--geometric operator mean inequality as $A\#_{t}B\leq
A\ell_t B\leq \frac{1}{2}(A\#_{t}B + A\nabla_{t} B)\le A\nabla_tB$ and
$A\#_{t}B\leq A\mathcal{I}_t B\leq A\nabla_{t} B$ involving the considered
operator means.


title: Hard hadronic diffraction is not hard

abstract:
  Hadronic diffractive processes characterised by a hard scale (hard
diffraction) contain a nontrivial interplay of hard and soft, nonperturbative
interactions, which breaks down factorisation of short and long distances. On
the contrary to the expectations based on the factorization hypothesis,
assuming that hard diffraction is a higher twist, these processes should be
classified as a leading twist. We overview various implications of this
important observation for diffractive radiation of Abelian (Drell-Yan, gauge
bosons, Higgs boson) and non-Abelian (heavy flavors) particles, as well as
direct coalescence into the Higgs boson of the non-perturbative intrinsic heavy
flavour component of the hadronic wave function.


title:
Trading drift and fluctuations in entropic dynamics: quantum dynamics as
  an emergent universality class

abstract:
  Entropic Dynamics (ED) is a framework that allows the formulation of
dynamical theories as an application of entropic methods of inference. In the
generic application of ED to derive the Schroedinger equation for N particles
the dynamics is a non-dissipative diffusion in which the system follows a
"Brownian" trajectory with fluctuations superposed on a smooth drift. We show
that there is a family of ED models that differ at the "microscopic" or
sub-quantum level in that one can enhance or suppress the fluctuations relative
to the drift. Nevertheless, members of this family belong to the same
universality class in that they all lead to the same emergent Schroedinger
behavior at the "macroscopic" or quantum level. The model in which fluctuations
are totally suppressed is of particular interest: the system evolves along the
smooth lines of probability flow. Thus ED includes the Bohmian or causal form
of quantum mechanics as a special limiting case. We briefly explore a different
universality class -- a non-dissipative dynamics with microscopic fluctuations
but no quantum potential. The Bohmian limit of these hybrid models is
equivalent to classical mechanics. Finally we show that the Heisenberg
uncertainty relation is unaffected either by enhancing or suppressing
microscopic fluctuations or by switching off the quantum potential.


title:
Dark matter and neutrino masses from a classically scale-invariant
  multi-Higgs portal

abstract:
  We present a classically scale-invariant model where the dark matter,
neutrino and electroweak mass scales are dynamically generated from
dimensionless couplings. The Standard Model gauge sector is extended by a dark
$SU(2)_X$ gauge symmetry that is completely broken through a complex scalar
doublet via the Coleman-Weinberg mechanism. The three resulting dark vector
bosons of equal mass are stable and can play the role of dark matter. We also
incorporate right-handed neutrinos which are coupled to a real singlet scalar
that communicates with the other scalars through portal interactions. The
multi-Higgs sector is analyzed by imposing theoretical and experimental
constraints. We compute the dark matter relic abundance and study the
possibility of the direct detection of the dark matter candidate from XENON 1T.


title:
Liquid-Gated High Mobility and Quantum Oscillation of the
  Two-Dimensional Electron Gas at an Oxide Interface

abstract:
  Electric field effect in electronic double layer transistor (EDLT)
configuration with ionic liquids as the dielectric materials is a powerful
means of exploring various properties in different materials. Here we
demonstrate the modulation of electrical transport properties and extremely
high mobility of two-dimensional electron gas at LaAlO$_3$/SrTiO$_3$ (LAO/STO)
interface through ionic liquid-assisted electric field effect. By changing the
gate voltages, the depletion of charge carrier and the resultant enhancement of
electron mobility up to 19380 cm$^2$/Vs are realized, leading to quantum
oscillations of the conductivity at the LAO/STO interface. The present results
suggest that high-mobility oxide interfaces which exhibit quantum phenomena
could be obtained by ionic liquid-assisted field effect.


title: Topology of unavoidable complexes

abstract:
  The partition number $\pi(K)$ of a simplicial complex $K\subset 2^{[m]}$ is
the minimum integer $\nu$ such that for each partition $A_1\uplus\ldots\uplus
A_\nu = [m]$ of $[m]$ at least one of the sets $A_i$ is in $K$. A complex $K$
is $r$-unavoidable if $\pi(K)\leq r$. We say that a complex $K$ is globally
$r$-non-embeddable in $\mathbb{R}^d$ if for each continuous map $f: | K|
\rightarrow \mathbb{R}^d$ there exist $r$ vertex disjoint faces
$\sigma_1,\ldots, \sigma_r$ of $| K|$ such that $f(\sigma_1)\cap\ldots\cap
f(\sigma_r)\neq\emptyset$. Motivated by the problems of Tverberg-Van
Kampen-Flores type we prove several results (Theorems 3.6, 3.9, 4.6) which link
together the combinatorics and topology of these two classes of complexes. One
of our central observations (Theorem 4.6), summarizing and extending results of
G. Schild, B. Gr\"{u}nbaum and many others, is that interesting examples of
(globally) $r$-non-embeddable complexes can be found among the joins $K =
K_1\ast\ldots\ast K_s$ of $r$-unavoidable complexes.


title:
Combination of two Gas Electron Multipliers and a Micromegas as gain
  elements for a time projection chamber

abstract:
  We measured the properties of a novel combination of two Gas Electron
Multipliers with a Micromegas for use as amplification devices in high-rate
gaseous time projection chambers. The goal of this design is to minimize the
buildup of space charge in the drift volume of such detectors in order to
eliminate the standard gating grid and its resultant dead time, while
preserving good tracking and particle identification performance. We measured
the positive ion back-flow and energy resolution at various element gains and
electric fields, using a variety of gases, and additionally studied crosstalk
effects and discharge rates. At a gain of 2000, this configuration achieves an
ion back-flow below 0.4% and an energy resolution better than
$\sigma/\text{E}=12\%$ for $^{55}$Fe X-rays.


title: Deep Embedding for Spatial Role Labeling

abstract:
  This paper introduces the visually informed embedding of word (VIEW), a
continuous vector representation for a word extracted from a deep neural model
trained using the Microsoft COCO data set to forecast the spatial arrangements
between visual objects, given a textual description. The model is composed of a
deep multilayer perceptron (MLP) stacked on the top of a Long Short Term Memory
(LSTM) network, the latter being preceded by an embedding layer. The VIEW is
applied to transferring multimodal background knowledge to Spatial Role
Labeling (SpRL) algorithms, which recognize spatial relations between objects
mentioned in the text. This work also contributes with a new method to select
complementary features and a fine-tuning method for MLP that improves the $F1$
measure in classifying the words into spatial roles. The VIEW is evaluated with
the Task 3 of SemEval-2013 benchmark data set, SpaceEval.


title:
Optimal nonlinear coherent mode transitions in Bose-Einstein Condensates
  utilizing spatio-temporal controls

abstract:
  Bose-Einstein condensates (BECs) offer the potential to examine quantum
behavior at large length and time scales, as well as forming promising
candidates for quantum technology applications. Thus, the manipulation of BECs
using control fields is a topic of prime interest. We consider BECs in the mean
field model of the Gross-Pitaevskii equation (GPE), which contains linear and
nonlinear features, both of which are subject to control. In this work we
report successful optimal control simulations of a one dimensional GPE by
modulating the linear and nonlinear terms to stimulate transitions into excited
coherent modes. The linear and nonlinear controls are allowed to freely vary
over space and time to seek their optimal forms. The determination of the
excited coherent modes targeted for optimization is numerically performed
through an adaptive imaginary time propagation method. Numerical simulations
are performed for optimal control of mode-to-mode transitions between the
ground coherent mode and excited modes of a BEC trapped in a harmonic well. The
results show greater than 99% success for nearly all trials utilizing
reasonable initial guesses for the controls, and analysis of the optimal
controls reveals primarily direct transitions between initial and target modes.
The success of using solely the nonlinearity term as a control opens up further
research toward exploring novel control mechanisms inaccessible to linear
Schr\"odinger-type systems.


title: Transfer matrix approach to 1d random band matrices: density of states

abstract:
  We study the special case of $n\times n$ 1D Gaussian Hermitian random band
matrices, when the covariance of the elements is determined by the matrix
$J=(-W^2\triangle+1)^{-1}$. Assuming that $n\ge CW\log W\gg 1$, we prove that
the averaged density of states coincides with the Wigner semicircle law up to
the correction of order $W^{-1}$.


title:
Alteration in Non-Classicality of Light on Passing Through a Linear
  Polarization Beam Splitter

abstract:
  We observe the polarization squeezing in the mixture of a two mode squeezed
vacuum and a simple coherent light through a linear polarization beam splitter.
Squeezed vacuum not being squeezed in polarization, generates polarization
squeezed light when superposed with coherent light. All the three Stokes
parameters of the light produced on the output port of polarization beam
splitter are found to be squeezed and squeezing factor also depends upon the
parameters of coherent light.


title:
Demystifying the twistor construction of composite operators in N=4
  super-Yang-Mills theory

abstract:
  We explain some details of the construction of composite operators in N=4 SYM
that we have elaborated earlier in the context of Lorentz harmonic chiral (LHC)
superspace. We give a step-by-step elementary derivation and show that the
result coincides with the recent hypothesis put forward in arXiv:1603.04471
within the twistor approach. We provide the appropriate LHC-to-twistors
dictionary.


title: The congruent numbers have positive natural density

abstract:
  We prove that the rational elliptic curve y^2 = x^3 - n^2x satisfies the full
Birch and Swinnerton-Dyer conjecture for at least 41.9% of positive squarefree
integers n equal to 1, 2, or 3 mod 8, and that it satisfies the regular BSD
conjecture for at least 55.9% of positive squarefree integers n equal to 5, 6,
or 7 mod 8. In particular, at least 55.9% of positive squarefree integers equal
to 5, 6, or 7 mod 8 are congruent numbers. These proofs complete an argument
started by Tian, Yuan, and Zhang.


title:
Simultaneous polarization squeezing in polarized N photon state and
  diminution on a squeezing operation

abstract:
  We study polarization squeezing of a pure photon number state which is
obviously polarized but the mere change in the basis of polarization leads to
simultaneous polarization squeezing in all the components of Stokes operator
vector except those falling along or perpendicular to the direction of
polarization state, is observed. We use the most general definition of
polarization squeezing and discuss the experimental feasibility of the result.
We also observe that a squeezing operation like non-degenerate parametric
amplification of the state does not reveal simultaneous squeezing in all Stokes
operator vectors and decreases in this sense.


title: Magneto-optical response in bimetallic metamaterials

abstract:
  We demonstrate resonant Faraday polarization rotation in plasmonic arrays of
bimetallic nano-ring resonators consisting of Au and Ni sections. This
metamaterial design allows to optimize the trade-off between the enhancement of
magneto-optical effects and plasmonic dissipation. Although Ni sections
correspond to as little as ~6% of the total surface of the metamaterial, the
resulting magneto-optically induced polarization rotation is equal to that of a
continuous film. Such bimetallic metamaterials can be used in compact magnetic
sensors, active plasmonic components and integrated photonic circuits.


title: Estimating Mixture Models via Mixtures of Polynomials

abstract:
  Mixture modeling is a general technique for making any simple model more
expressive through weighted combination. This generality and simplicity in part
explains the success of the Expectation Maximization (EM) algorithm, in which
updates are easy to derive for a wide class of mixture models. However, the
likelihood of a mixture model is non-convex, so EM has no known global
convergence guarantees. Recently, method of moments approaches offer global
guarantees for some mixture models, but they do not extend easily to the range
of mixture models that exist. In this work, we present Polymom, an unifying
framework based on method of moments in which estimation procedures are easily
derivable, just as in EM. Polymom is applicable when the moments of a single
mixture component are polynomials of the parameters. Our key observation is
that the moments of the mixture model are a mixture of these polynomials, which
allows us to cast estimation as a Generalized Moment Problem. We solve its
relaxations using semidefinite optimization, and then extract parameters using
ideas from computer algebra. This framework allows us to draw insights and
apply tools from convex optimization, computer algebra and the theory of
moments to study problems in statistical estimation.


title: High voltage testing for the MAJORANA Demonstrator

abstract:
  The MAJORANA Collaboration is constructing the MAJORANA Demonstrator, an
ultra-low background, 44-kg modular high-purity Ge (HPGe) detector array to
search for neutrinoless double-beta decay in Ge-76. The phenomenon of surface
micro-discharge induced by high-voltage has been studied in the context of the
MAJORANA Demonstrator. This effect can damage the front-end electronics or
mimic detector signals. To ensure the correct performance, every high-voltage
cable and feedthrough must be capable of supplying HPGe detector operating
voltages as high as 5 kV without exhibiting discharge. R&D measurements were
carried out to understand the testing system and determine the optimum design
configuration of the high-voltage path, including different improvements of the
cable layout and feedthrough flange model selection. Every cable and
feedthrough to be used at the MAJORANA Demonstrator was characterized and the
micro-discharge effects during the MAJORANA Demonstrator commissioning phase
were studied. A stable configuration has been achieved, and the cables and
connectors can supply HPGe detector operating voltages without exhibiting
discharge.


title:
ELLC - a fast, flexible light curve model for detached eclipsing binary
  stars and transiting exoplanets

abstract:
  Very high quality light curves are now available for thousands of detached
eclipsing binary stars and transiting exoplanet systems as a result of surveys
for transiting exoplanets and other large-scale photometric surveys. I have
developed a binary star model (ELLC) that can be used to analyse the light
curves of detached eclipsing binary stars and transiting exoplanet systems that
is fast and accurate, and that can include the effects of star spots, Doppler
boosting and light-travel time within binaries with eccentric orbits. The model
represents the stars as triaxial ellipsoids. The apparent flux from the binary
is calculated using Gauss-Legendre integration over the ellipses that are the
projection of these ellipsoids on the sky. The model can also be used to
calculate the flux-weighted radial velocity of the stars during an eclipse
(Rossiter-McLaughlin effect). The main features of the model have been tested
by comparison to observed data and other light curve models. The model is found
to be accurate enough to analyse the very high quality photometry that is now
available from space-spaced instruments, flexible enough to model a wide range
of eclipsing binary stars and extrasolar planetary systems, and fast enough to
enable the use of modern Monte Carlo methods for data analysis and model
testing.


title: Incremental Voronoi Diagrams

abstract:
  We study the amortized number of combinatorial changes (edge insertions and
removals) needed to update the graph structure of the Voronoi diagram
$\mathcal{V}(S)$ (and several variants thereof) of a set $S$ of $n$ sites in
the plane as sites are added.
  We define a general update operation for planar graphs modeling the
incremental construction of several variants of Voronoi diagrams as well as the
incremental construction of an intersection of halfspaces in $\mathbb{R}^3$. We
show that the amortized number of edge insertions and removals needed to add a
new site is $O(\sqrt{n})$. A matching $\Omega(\sqrt{n})$ combinatorial lower
bound is shown, even in the case where the graph of the diagram is a tree. This
contrasts with the $O(\log{n})$ upper bound of Aronov et al. (2006) for
farthest-point Voronoi diagrams when the points are inserted in order along
their convex hull.
  We present a semi-dynamic data structure that maintains the Voronoi diagram
of a set $S$ of $n$ sites in convex position. This structure supports the
insertion of a new site $p$ and finds the asymptotically minimal number $K$ of
edge insertions and removals needed to obtain the diagram of $S \cup \{p\}$
from the diagram of $S$, in time $O(K\,\mathrm{polylog}\ n)$ worst case, which
is $O(\sqrt{n}\;\mathrm{polylog}\ n)$ amortized by the aforementioned result.
  The most distinctive feature of this data structure is that the graph of the
Voronoi diagram is maintained at all times and can be traversed in the natural
way; this contrasts with other known data structures supporting nearest
neighbor queries. Our data structure supports general search operations on the
current Voronoi diagram, which can, for example, be used to perform point
location queries in the cells of the current Voronoi diagram in $O(\log n)$
time, or to determine whether two given sites are neighbors in the Delaunay
triangulation.


title:
Learning to Read Chest X-Rays: Recurrent Neural Cascade Model for
  Automated Image Annotation

abstract:
  Despite the recent advances in automatically describing image contents, their
applications have been mostly limited to image caption datasets containing
natural images (e.g., Flickr 30k, MSCOCO). In this paper, we present a deep
learning model to efficiently detect a disease from an image and annotate its
contexts (e.g., location, severity and the affected organs). We employ a
publicly available radiology dataset of chest x-rays and their reports, and use
its image annotations to mine disease names to train convolutional neural
networks (CNNs). In doing so, we adopt various regularization techniques to
circumvent the large normal-vs-diseased cases bias. Recurrent neural networks
(RNNs) are then trained to describe the contexts of a detected disease, based
on the deep CNN features. Moreover, we introduce a novel approach to use the
weights of the already trained pair of CNN/RNN on the domain-specific
image/text dataset, to infer the joint image/text contexts for composite image
labeling. Significantly improved image annotation results are demonstrated
using the recurrent neural cascade model by taking the joint image/text
contexts into account.


title: A Framization of the Hecke algebra of Type B

abstract:
  In this article we introduce a framization of the Hecke algebra of type B.
For this framization we construct a faithful tensorial representation and two
linear bases. We finally construct a Markov trace on these algebras and from
this trace we derive isotopy invariants for framed and classical knots and
links in the solid torus.


title: SpIES: The Spitzer IRAC Equatorial Survey

abstract:
  We describe the first data release from the Spitzer-IRAC Equatorial Survey
(SpIES); a large-area survey of 115 deg^2 in the Equatorial SDSS Stripe 82
field using Spitzer during its 'warm' mission phase. SpIES was designed to
probe sufficient volume to perform measurements of quasar clustering and the
luminosity function at z > 3 to test various models for "feedback" from active
galactic nuclei (AGN). Additionally, the wide range of available
multi-wavelength, multi-epoch ancillary data enables SpIES to identify both
high-redshift (z > 5) quasars as well as obscured quasars missed by optical
surveys. SpIES achieves 5{\sigma} depths of 6.13 {\mu}Jy (21.93 AB magnitude)
and 5.75 {\mu}Jy (22.0 AB magnitude) at 3.6 and 4.5 microns, respectively -
depths significantly fainter than WISE. We show that the SpIES survey recovers
a much larger fraction of spectroscopically-confirmed quasars (98%) in Stripe
82 than are recovered by WISE (55%). This depth is especially powerful at
high-redshift (z > 3.5), where SpIES recovers 94% of confirmed quasars, whereas
WISE only recovers 25%. Here we define the SpIES survey parameters and describe
the image processing, source extraction, and catalog production methods used to
analyze the SpIES data. In addition to this survey paper, we release 234 images
created by the SpIES team and three detection catalogs: a 3.6 {\mu}m-only
detection catalog containing 6.1 million sources, a 4.5 {\mu}m-only detection
catalog containing 6.5 million sources, and a dual-band detection catalog
containing 5.4 million sources.


title:
Chirp mitigation of plasma-accelerated beams using a modulated plasma
  density

abstract:
  Plasma-based accelerators offer the possibility to drive future compact light
sources and high-energy physics applications. Achieving good beam quality,
especially a small beam energy spread, is still one of the major challenges.
For stable transport, the beam is located in the focusing region of the
wakefield which covers only the slope of the accelerating field. This, however,
imprints a longitudinal energy correlation (chirp) along the bunch. Here, we
propose an alternating focusing scheme in the plasma to mitigate the
development of this chirp and thus maintain a small energy spread.


title: Genomic Tableaux

abstract:
  We explain how genomic tableaux [Pechenik-Yong '15] are a semistandard
complement to increasing tableaux [Thomas-Yong '09]. From this perspective, one
inherits genomic versions of jeu de taquin, Knuth equivalence, infusion and
Bender-Knuth involutions, as well as Schur functions from (shifted)
semistandard Young tableaux theory. These are applied to obtain new
Littlewood-Richardson rules for K-theory Schubert calculus of Grassmannians
(after [Buch '02]) and maximal orthogonal Grassmannians (after
[Clifford-Thomas-Yong '14], [Buch-Ravikumar '12]). For the unsolved case of
Lagrangian Grassmannians, sharp upper and lower bounds using genomic tableaux
are conjectured.


title: Content-Centric Networking Using Anonymous Datagrams

abstract:
  Using Interests (requests that elicit content) and maintaining per-Interest
forwarding state in Pending Interest Tables (PIT) are integral to the design of
the Named Data Networking (NDN) and Content-Centric Networking (CCNx)
architectures. However, using PITs makes the network vulnerable to
Interest-flooding attacks, and PITs can become very large. It is shown that
in-network caching eliminates the need for Interest aggregation and obviates
the use of PITs. A new approach to content-centric networking (CCN-GRAM) is
introduced that provides all the benefits of NDN and CCNx, eliminates the use
of PITs by means of anonymous datagrams, and is immune to Interest-flooding
attacks. Routers maintain routes to the anonymous origins of Interests using an
on-demand routing approach in the data plane that can also be used to provide
native support for multicasting in the dat a plane. Simulation experiments show
that the number of forwarding entries required in CCN-GRAM is orders of
magnitude smaller than the number of PIT entries.


title: Plasmonic absorption properties of bimetallic metamaterials

abstract:
  We demonstrate polarization controlled absorption in plasmonic bimetallic
metamaterials. We fabricate and experimentally characterize Au/Ni ring
resonator arrays, where by varying the wavelength and polarization of the
incident wave, local electromagnetic fields and dissipation can be suppressed
or enhanced in the Au and Ni areas of the rings.


title: Meertens number and its variations

abstract:
  In 1998, Bird introduced Meertens numbers as numbers that are invariant under
a map similar to the Godel encoding. In base 10, the only known Meertens number
is 81312000. We look at some properties of Meertens numbers and consider
variations of this concept. In particular, we consider variations where there
is a finite time algorithm to decide whether such numbers exist.


title:
Systems-Disconjugacy of a Fourth-Order Differential Equation with a
  Middle Term

abstract:
  Systems-conjugate points have been introduced and studied by John Barrett
\cite{barr} in relation with the self-adjoint fourth order differential
equation $$(r(x)y")"-(q(x)y')'= p(x)y,$$ where $r(x)>0$, $p(x)>0$ and
$q\equiv0$. In this paper we extend some of his results to more general cases,
when $q(x)$ is free of any sign restrictions.


title: Growth-fragmentation processes and bifurcators

abstract:
  Markovian growth-fragmentation processes introduced by Bertoin model a system
of growing and splitting cells in which the size of a typical cell evolves as a
Markov process $X$ without positive jumps. We find that two
growth-fragmentation processes associated respectively with two processes $X$
and $Y$ (with different laws) may have the same distribution, if $(X,Y)$ is a
bifurcator, roughly speaking, which means that they coincide up to a
bifurcation time and then evolve independently. Using this criterion, we deduce
that the law of a self-similar growth-fragmentation is determined by a cumulant
function $\kappa$ and its index of self-similarity.


title: Maximal spectral surfaces of revolution converge to a catenoid

abstract:
  We consider a maximization problem for eigenvalues of the Laplace-Beltrami
operator on surfaces of revolution in $\mathbb{R}^3$ with two prescribed
boundary components. For every $j$, we show that there is a surface $\Sigma_j$
which maximizes the $j$-th Dirichlet eigenvalue. The maximizing surface has a
meridian which is a rectifiable curve. If there is a catenoid which is the
unique area minimizing surface with the prescribed boundary, then the
eigenvalue maximizing surfaces of revolution converge to this catenoid.


title: On distances, paths and connections for hyperspectral image segmentation

abstract:
  The present paper introduces the $\eta$ and {\eta} connections in order to
add regional information on $\lambda$-flat zones, which only take into account
a local information. A top-down approach is considered. First $\lambda$-flat
zones are built in a way leading to a sub-segmentation. Then a finer
segmentation is obtained by computing $\eta$-bounded regions and $\mu$-geodesic
balls inside the $\lambda$-flat zones. The proposed algorithms for the
construction of new partitions are based on queues with an ordered selection of
seeds using the cumulative distance. $\eta$-bounded regions offers a control on
the variations of amplitude in the class from a point, called center, and
$\mu$-geodesic balls controls the "size" of the class. These results are
applied to hyperspectral images.


title: Non-isometric involutive anti-automorphisms

abstract:
  We exhibit a non-constructive proof in which anti-automorphisms are not
valuation-preserving and hence non-isometric


title: History of Mathematics Education - Italy

abstract:
  Starting from the Italian unification in 1861, we describe the role of
mathematics teaching in the Italian system of education giving an account of
the main features of Italian mathematics education, and referring to the
official syllabi, to the used textbooks, to the debates. We will see that
interesting proposals in a period of about 150 years will always have to face a
tendency to rigor as well as a resistance towards innovation.


title: Dichotomic random number generators

abstract:
  We introduce several classes of pseudorandom sequences which represent a
natural extension of classical methods in random number generation. The
sequences are obtained from constructions on labeled binary trees, generalizing
the well-known Stern-Brocot tree.


title: Prime Numbers, Dirichlet Density, and Benford's Law

abstract:
  The Prime Numbers are well-known for their paradoxical stand regarding
Benford's Law. On one hand they adamantly refuse to obey the law of Benford in
the usual sense, namely that of a normal density of the proportion of primes
with d as the leading digit, yet on the other hand, the Dirichlet density for
the subset of all primes with d as the leading digit is indeed LOG(1 + 1/d). In
this article the superficiality of the Dirichlet density result is demonstrated
and explained in terms of other well-known and established results in the
discipline of Benford's Law, conceptually concluding that prime numbers cannot
be considered Benford at all, in spite of the Dirichlet density result. In
addition, a detailed examination of the digital behavior of prime numbers is
outlined, showing a distinct digital development pattern, from a slight
preference for low digits at the start for small primes, to a complete digital
equality for large primes in the limit as the prime number sequence goes to
infinity. Finally an exact analytical expression for the density of the
logarithms of primes is derived and shown to be always on the rise at the macro
level, an observation that is also confirmed empirically.


title: On the Fine Structure of Quadratical Quasigroups

abstract:
  We prove that quadratical quasigroups form a variety Q of right and left
simple groupoids. New examples of quadratical quasigroups of orders 25 and 29
are given. The fine structure of quadratical quasigroups and
inter-relationships between their properties are explored. The spectrum of Q is
proved to be contained in the set of integers equal to 1 plus a multiple of 4.


title: Noncommutative Wormhole Solutions in Einstein Gauss-Bonnet Gravity

abstract:
  In this paper, we explore static spherically symmetric wormhole solutions in
the framework of $n$-dimensional Einstein Gauss-Bonnet gravity. Our objective
is to find out wormhole solutions that satisfy energy conditions. For this
purpose, we consider two frameworks such as Gaussian distributed and Lorentzian
distributed non-commutative geometry. Taking into account constant redshift
function, we obtain solutions in the form of shape function. The fifth and
sixth dimensional solutions with positive as well as negative Gauss-Bonnet
coefficient are discussed. Also, we check the equilibrium condition for the
wormhole solutions with the help of generalized Tolman-Oppenheimer-Volkov
equation. It is interesting to mention here that we obtain fifth dimensional
stable wormhole solutions in both distributions that satisfy the energy
conditions.


abstract:
  In this paper some Tur\'an type inequalities for classical and generalized
Mittag-Leffler functions are considered. The method is based on proving
monotonicity for special ratio of sections for series of Mittag-Leffler
functions. Some applications are considered to Lazarevi\'c and Wilker-type
inequalities for classical and generalized Mittag-Leffler functions. At the end
some open problems are formulated.


title: Orbital-FFLO state in a chain of high spin ultracold atoms

abstract:
  Recent experiments with Yb-173 and Sr-87 isotopes provide new possibilities
to study high spin two-orbital systems. Within these experiments part of the
atoms are excited to a higher energy metastable electronic state mimicking an
additional internal (orbital) degree of freedom. The interaction between the
atoms depends on the orbital states, therefore four different scattering
channels can be identified in the system characterized by four independent
couplings. When the system is confined into a one-dimensional chain the
scattering lengths can be tuned by changing the transverse confinement, and
driven through four resonances. Using the new available experimental data of
the scattering lengths we analyze the phase diagram of the one-dimensional
system as the couplings are tuned via transverse confinement, and the
populations of the two orbital states are changed. We found that three orders
compete showing power law decay: a state with dominant density wave
fluctuations, another one with spin density fluctuations, and a third one
characterized by exotic Fulde-Ferrell-Larkin-Ovchinnikov-like pairs consisting
one atom in the electronic ground state and one in the excited state. We also
show that sufficiently close to the resonances the compressibility of the
system starts to diverge indicating that the emerging order is unstable and
collapses to a phase separated state with a first order phase transition.


title: Feature-tailored spectroscopic analysis of the SNR Puppis A in X-rays

abstract:
  We introduce a distinct method to perform spatially-resolved spectral
analysis of astronomical sources with highly structured X-ray emission. The
method measures the surface brightness of neighbouring pixels to adaptively
size and shape each region, thus the spectra from the bright and faint
filamentary structures evident in the broadband images can be extracted. As a
test case, we present the spectral analysis of the complete X-ray emitting
plasma in the supernova remnant Puppis A observed with XMM-Newton and Chandra.
Given the angular size of Puppis A, many pointings with different observational
configurations have to be combined, presenting a challenge to any method of
spatially-resolved spectroscopy. From the fit of a plane-parallel shocked
plasma model we find that temperature, absorption column, ionization time
scale, emission measure and elemental abundances of O, Ne, Mg, Si, S and Fe,
are smoothly distributed in the remnant. Some regions with overabundances of
O-Ne-Mg, previously characterized as ejecta material, were automatically
selected by our method, proving the excellent response of the technique. This
method is an advantageous tool for the exploitation of archival X-ray data.


title: Generating Visual Explanations

abstract:
  Clearly explaining a rationale for a classification decision to an end-user
can be as important as the decision itself. Existing approaches for deep visual
recognition are generally opaque and do not output any justification text;
contemporary vision-language models can describe image content but fail to take
into account class-discriminative image aspects which justify visual
predictions. We propose a new model that focuses on the discriminating
properties of the visible object, jointly predicts a class label, and explains
why the predicted label is appropriate for the image. We propose a novel loss
function based on sampling and reinforcement learning that learns to generate
sentences that realize a global sentence property, such as class specificity.
Our results on a fine-grained bird species classification dataset show that our
model is able to generate explanations which are not only consistent with an
image but also more discriminative than descriptions produced by existing
captioning methods.


title:
Experimental observation of topological Fermi arcs in type-II Weyl
  semimetal MoTe2

abstract:
  Weyl semimetal is a new quantum state of matter [1-12] hosting the condensed
matter physics counterpart of relativisticWeyl fermion [13] originally
introduced in high energy physics. The Weyl semimetal realized in the TaAs
class features multiple Fermi arcs arising from topological surface states [10,
11, 14-16] and exhibits novel quantum phenomena, e.g., chiral anomaly induced
negative mag-netoresistance [17-19] and possibly emergent supersymmetry [20].
Recently it was proposed theoretically that a new type (type-II) of Weyl
fermion [21], which does not have counterpart in high energy physics due to the
breaking of Lorentz invariance, can emerge as topologically-protected touching
between electron and hole pockets. Here, we report direct spectroscopic
evidence of topological Fermi arcs in the predicted type-II Weyl semimetal
MoTe2 [22-24]. The topological surface states are confirmed by directly
observing the surface states using bulk-and surface-sensitive angle-resolved
photoemission spectroscopy (ARPES), and the quasi-particle interference (QPI)
pattern between the two putative Fermi arcs in scanning tunneling microscopy
(STM). Our work establishes MoTe2 as the first experimental realization of
type-II Weyl semimetal, and opens up new opportunities for probing novel
phenomena such as exotic magneto-transport [21] in type-II Weyl semimetals.


title: Horizon as Critical Phenomenon

abstract:
  We show that renormalization group(RG) flow can be viewed as a gradual wave
function collapse, where a quantum state associated with the action of field
theory evolves toward a final state that describes an IR fixed point. The
process of collapse is described by the radial evolution in the dual
holographic theory. If the theory is in the same phase as the assumed IR fixed
point, the initial state is smoothly projected to the final state. If in a
different phase, the initial state undergoes a phase transition which in turn
gives rise to a horizon in the bulk geometry. We demonstrate the connection
between critical behavior and horizon in an example, by deriving the bulk
metrics that emerge in various phases of the U(N) vector model in the large N
limit based on the holographic dual constructed from quantum RG. The gapped
phase exhibits a geometry that smoothly ends at a finite proper distance in the
radial direction. The geometric distance in the radial direction measures a
complexity : the depth of RG transformation that is needed to project the
generally entangled UV state to a direct product state in the IR. For gapless
states, entanglement persistently spreads out to larger length scales, and the
initial state can not be projected to the direct product state. The obstruction
to smooth projection at charge neutral point manifests itself as the long
throat in the anti-de Sitter space. The Poincare horizon at infinity marks the
critical point which exhibits a divergent length scale in the spread of
entanglement. For the gapless states with non-zero chemical potential, the bulk
space becomes the Lifshitz geometry with the dynamical critical exponent two.
The identification of horizon as critical point may provide an explanation for
the universality of horizon. We also discuss the structure of the bulk tensor
network that emerges from the quantum RG.


title: Universal Charge Diffusion and the Butterfly Effect

abstract:
  We study charge diffusion in holographic scaling theories with a
particle-hole symmetry. We show that these theories have a universal regime in
which the diffusion constant is given by $D_c = C v_B^2/ (2 \pi T)$ where $v_B$
is the velocity of the butterfly effect. The constant of proportionality, $C$,
depends only on the scaling exponents of the infra-red theory. Our results
suggest an unexpected connection between transport at strong coupling and
quantum chaos.


title: Colorful Image Colorization

abstract:
  Given a grayscale photograph as input, this paper attacks the problem of
hallucinating a plausible color version of the photograph. This problem is
clearly underconstrained, so previous approaches have either relied on
significant user interaction or resulted in desaturated colorizations. We
propose a fully automatic approach that produces vibrant and realistic
colorizations. We embrace the underlying uncertainty of the problem by posing
it as a classification task and use class-rebalancing at training time to
increase the diversity of colors in the result. The system is implemented as a
feed-forward pass in a CNN at test time and is trained on over a million color
images. We evaluate our algorithm using a "colorization Turing test," asking
human participants to choose between a generated and ground truth color image.
Our method successfully fools humans on 32% of the trials, significantly higher
than previous methods. Moreover, we show that colorization can be a powerful
pretext task for self-supervised feature learning, acting as a cross-channel
encoder. This approach results in state-of-the-art performance on several
feature learning benchmarks.


title:
Write error rate of spin-transfer-torque random access memory including
  micromagnetic effects using rare event enhancement

abstract:
  Spin-transfer-torque random access memory (STT-RAM) is a promising candidate
for the next-generation of random-access-memory due to improved scalability,
read-write speeds and endurance. However, the write pulse duration must be long
enough to ensure a low write error rate (WER), the probability that a bit will
remain unswitched after the write pulse is turned off, in the presence of
stochastic thermal effects. WERs on the scale of 10$^{-9}$ or lower are
desired. Within a macrospin approximation, WERs can be calculated analytically
using the Fokker-Planck method to this point and beyond. However, dynamic
micromagnetic effects within the bit can affect and lead to faster switching.
Such micromagnetic effects can be addressed via numerical solution of the
stochastic Landau-Lifshitz-Gilbert-Slonczewski (LLGS) equation. However,
determining WERs approaching 10$^{-9}$ would require well over 10$^{9}$ such
independent simulations, which is infeasible. In this work, we explore
calculation of WER using "rare event enhancement" (REE), an approach that has
been used for Monte Carlo simulation of other systems where rare events
nevertheless remain important. Using a prototype REE approach tailored to the
STT-RAM switching physics, we demonstrate reliable calculation of a WER to
10$^{-9}$ with sets of only approximately 10$^{3}$ ongoing stochastic LLGS
simulations, and the apparent ability to go further.


title:
Intermediate-mass black holes from Population III remnants in the first
  galactic nuclei

abstract:
  We report the formation of intermediate-mass black holes (IMBHs) in suites of
numerical $N$-body simulations of Population III remnant black holes (BHs)
embedded in gas-rich protogalaxies at redshifts $z\gtrsim10$. We model the
effects of gas drag on the BHs' orbits, and allow BHs to grow via gas
accretion, including a mode of hyper-Eddington accretion in which photon
trapping and rapid gas inflow suppress any negative radiative feedback. Most
initial BH configurations lead to the formation of one (but never more than
one) IMBH in the center of the protogalaxy, reaching a mass of
$10^{3-5}\mathrm{M}_{\odot}$ through hyper-Eddington growth. Our results
suggest a viable pathway to forming the earliest massive BHs in the centers of
early galaxies. We also find that the nuclear IMBH typically captures a
stellar-mass BH companion, making these systems observable in gravitational
waves as extreme mass-ratio inspirals (EMRIs) with \textit{eLISA}.


title:
Deriving Application Level Relationships by Analysing the Run Time
  Behaviour of Simple and Complex SQL Queries

abstract:
  This paper describes a unique approach to perform application behavioral
analysis for identifying how tables might be related to each other. The
analysis techniques are based on the properties of primary and foreign keys and
also the data present in their respective columns. We have also implemented the
idea using JAVA and presented experimental results in Demo Section.This paper
introduces a unique approach to predict the possible application level
relationships in databases with the help of the application relationship
analysis of simple and complex SQL queries. Complex SQL queries are those which
contain multiple constraints at different levels of the database. In the
process of deriving relations, we first parse the SQL statements and then
analyse the parsed information to extract related information.


title: Algorithmic correspondence and canonicity for non-distributive logics

abstract:
  We extend the theory of unified correspondence to a very broad class of
logics with algebraic semantics given by varieties of normal lattice expansions
(LEs), also known as `lattices with operators'. Specifically, we introduce a
very general syntactic definition of the class of Sahlqvist formulas and
inequalities, which applies uniformly to each LE-signature and is given purely
in terms of the order-theoretic properties of the algebraic interpretations of
the logical connectives. Together with this, we introduce a variant of the
algorithm ALBA, specific to the setting of LEs, which effectively computes
first-order correspondents of LE-inequalities, and is guaranteed to succeed on
a wide class of inequalities (the so-called inductive inequalities) which
significantly extend the Sahlqvist class. Further, we show that every
inequality on which ALBA succeeds is canonical. The projection of these results
yields state-of-the-art correspondence theory for many well known substructural
logics, such as the Lambek calculus and its extensions, the Lambek-Grishin
calculus, the logic of (not necessarily distributive) de Morgan lattices, and
the multiplicative-additive fragment of linear logic.


title:
A blow-up criterion for strong solutions to three-dimensional
  compressible magnetohydrodynamic equations

abstract:
  We are concerned with an initial boundary value problem for the compressible
magnetohydrodynamic equations with viscosity depending on the density. It is
show that for the initial density away from vacuum, the strong solution to the
problem exists globally if the gradient of velocity satisfies
$\|\nabla\mathbf{u}\|_{L^{2}(0,T;L^\infty)}<\infty$. Our method relies upon the
delicate energy estimates and elliptic estimates.


title:
Quantum Dualities and Quantum Anomalous Hall Phases with Arbitrary Large
  Chern Numbers

abstract:
  Quantum duality is a far reaching concept in contemporary theoretical
physics. In the present paper, we reveal the quantum dualities in quantum
anomalous Hall (QAH) phases through concrete two bands Hamiltonian models. Our
models can realize QAH phases with arbitrary large Chern numbers. In real
materials these models may be realized by stacked $n$ layer systems of $c_1=1$
QAH insulators. The topological phase transitions that can change the Chern
numbers are studied. And we investigate the gapless edge modes of our models in
details, and find a new mechanism for the bulk boundary correspondence.


title: The Efficiency of Magnetic Field Amplification at Shocks by Turbulence

abstract:
  Turbulent dynamo field amplification has often been invoked to explain the
strong field strengths in thin rims in supernova shocks ($\sim 100 \, \mu$G)
and in radio relics in galaxy clusters ($\sim \mu$G). We present high
resolution MHD simulations of the interaction between pre-shock turbulence,
clumping and shocks, to quantify the conditions under which turbulent dynamo
amplification can be significant. We demonstrate numerically converged field
amplification which scales with Alfv\'en Mach number, $B/B_0 \propto {\mathcal
M}_{\rm A}$, up to ${\mathcal M}_{\rm A} \sim 150$. This implies that the
post-shock field strength is relatively independent of the seed field.
Amplification is dominated by compression at low ${\mathcal M}_{\rm A}$, and
stretching (turbulent amplification) at high ${\mathcal M}_{\rm A}$. For high
$\mathcal{M}_{\rm A}$, the $B$-field grows exponentially and saturates at
equipartition with turbulence, while the vorticity jumps sharply at the shock
and subsequently decays; the resulting field is orientated predominately along
the shock normal (an effect only apparent in 3D and not 2D). This agrees with
the radial field bias seen in supernova remnants. By contrast, for low
$\mathcal{M}_{\rm A}$, field amplification is mostly compressional, relatively
modest, and results in a predominantly perpendicular field. The latter is
consistent with the polarization seen in radio relics. Our results are
relatively robust to the assumed level of gas clumping. Our results imply that
the turbulent dynamo may be important for supernovae, but is only consistent
with the field strength, and not geometry, for cluster radio relics. For the
latter, this implies strong pre-existing $B$-fields in the ambient cluster
outskirts.


title: Application of Bayesian graphs to SN Ia data analysis and compression

abstract:
  Bayesian graphical models are an efficient tool for modelling complex data
and derive self-consistent expressions of the posterior distribution of model
parameters. We apply Bayesian graphs to perform statistical analyses of Type Ia
supernova (SN Ia) luminosity distance measurements from the joint light-curve
analysis (JLA) data set. In contrast to the $\chi^2$ approach used in previous
studies, the Bayesian inference allows us to fully account for the
standard-candle parameter dependence of the data covariance matrix. Comparing
with $\chi^2$ analysis results, we find a systematic offset of the marginal
model parameter bounds. We demonstrate that the bias is statistically
significant in the case of the SN Ia standardization parameters with a maximal
6 $\sigma$ shift of the SN light-curve colour correction. In addition, we find
that the evidence for a host galaxy correction is now only 2.4 $\sigma$.
Systematic offsets on the cosmological parameters remain small, but may
increase by combining constraints from complementary cosmological probes. The
bias of the $\chi^2$ analysis is due to neglecting the parameter-dependent
log-determinant of the data covariance, which gives more statistical weight to
larger values of the standardization parameters. We find a similar effect on
compressed distance modulus data. To this end, we implement a fully consistent
compression method of the JLA data set that uses a Gaussian approximation of
the posterior distribution for fast generation of compressed data. Overall, the
results of our analysis emphasize the need for a fully consistent Bayesian
statistical approach in the analysis of future large SN Ia data sets.


title:
The Radial Distribution of H2 and CO in TW Hya as Revealed by Resolved
  ALMA Observations of CO Isotopologues

abstract:
  CO is widely used as a tracer of molecular gas. However, there is now
mounting evidence that gas phase carbon is depleted in the disk around TW Hya.
Previous efforts to quantify this depletion have been hampered by uncertainties
regarding the radial thermal structure in the disk. Here we present resolved
ALMA observations of 13CO 3-2, C18O 3-2, 13CO 6-5, and C18O 6-5 emission in TW
Hya, which allow us to derive radial gas temperature and gas surface density
profiles, as well as map the CO abundance as a function of radius. These
observations provide a measurement of the surface CO snowline at ~30 AU and
show evidence for an outer ring of CO emission centered at 53 AU, a feature
previously seen only in less abundant species. Further, the derived CO gas
temperature profile constrains the freeze-out temperature of CO in the warm
molecular layer to < 21 K. Combined with the previous detection of HD 1-0,
these data constrain the surface density of the warm H2 gas in the inner ~30
AU. We find that CO is depleted by two orders of magnitude from R=10-60 AU,
with the small amount of CO returning to the gas phase inside the surface CO
snowline insufficient to explain the overall depletion. Finally, this new data
is used in conjunction with previous modeling of the TW Hya disk to constrain
the midplane CO snowline to 17-23 AU.


title:
Opacity broadening and interpretation of suprathermal CO linewidths:
  Macroscopic Turbulence and Tangled Molecular Clouds

abstract:
  (Abridged) Many of the observed CO line profiles exhibit broad linewidths
that greatly exceed the thermal broadening expected within molecular clouds.
These suprathermal CO linewidths are assumed to be originated from the presence
of unresolved supersonic motions inside clouds. Typically overlooked in the
literature, in this paper we aim to quantify the impact of the opacity
broadening effects on the current interpretation of the CO suprathermal line
profiles. Without any additional contributions to the gas velocity field, a
large fraction of the apparently supersonic (${\cal M}\sim$2-3) linewidths
measured in both $^{12}$CO and $^{13}$CO (J=1-0) lines can be explained by the
saturation of their corresponding sonic-like, optically-thin C$^{18}$O
counterparts assuming standard isotopic fractionation. Combined with the
presence of multiple components detected in our C$^{18}$O spectra, these
opacity effects seem to be also responsible of the highly supersonic linewidths
(${\cal M}>$8-10) detected in the broadest $^{12}$CO and $^{13}$CO spectra in
Taurus. Our results demonstrate that most of the suprathermal $^{12}$CO and
$^{13}$CO linewidths could be primarily created by a combination of opacity
broadening effects and multiple gas velocity components blended in these
saturated emission lines. Once corrected by their corresponding optical depth,
each of these gas components present transonic intrinsic linewidths
consistently traced by the three CO isotopologues within a factor of 2. Highly
correlated and velocity-coherent at large scales, the largest and highly
supersonic velocity differences inside clouds are generated by the relative
motions between individual gas components. This highly discretized structure of
the molecular gas traced in CO suggest that the gas dynamics inside molecular
clouds could be better described by the properties of a fully-resolved
macroscopic turbulence.


title:
First Identification of Direct Collapse Black Hole Candidates in the
  Early Universe in CANDELS/GOODS-S

abstract:
  The first black hole seeds, formed when the Universe was younger than 500
Myr, are recognized to play an important role for the growth of early (z ~ 7)
super-massive black holes. While progresses have been made in understanding
their formation and growth, their observational signatures remain largely
unexplored. As a result, no detection of such sources has been confirmed so
far. Supported by numerical simulations, we present a novel photometric method
to identify black hole seed candidates in deep multi-wavelength surveys. We
predict that these highly-obscured sources are characterized by a steep
spectrum in the infrared (1.6-4.5 micron), i.e. by very red colors. The method
selects the only 2 objects with a robust X-ray detection found in the
CANDELS/GOODS-S survey with a photometric redshift z > 6. Fitting their
infrared spectra only with a stellar component would require unrealistic star
formation rates (>2000 solar masses per year). To date, the selected objects
represent the most promising black hole seed candidates, possibly formed via
the direct collapse black hole scenario, with predicted mass >10^5 solar
masses. While this result is based on the best photometric observations of
high-z sources available to date, additional progress is expected from
spectroscopic and deeper X-ray data. Upcoming observatories, like the JWST,
will greatly expand the scope of this work.


title: Integration of Particle-Gas Systems with Stiff Mutual Drag Interaction

abstract:
  Numerical simulation of numerous mm/cm-sized particles embedded in a gaseous
disk has become an important tool in the study of planet formation and in
understanding the dust distribution in observed protoplanetary disks. However,
the mutual drag force between the gas and the particles can become so stiff,
particularly because of small particles and/or strong local solid
concentration, that an explicit integration of this system is computationally
formidable. In this work, we consider the integration of the mutual drag force
in a system of Eulerian gas and Lagrangian solid particles. Despite the
entanglement between the gas and the particles under the particle-mesh
construct, we are able to devise a numerical algorithm that effectively
decomposes the globally coupled system of equations for the mutual drag force
and makes it possible to integrate this system on a cell-by-cell basis, which
considerably reduces the computational task required. We use an analytical
solution for the temporal evolution of each cell to relieve the time-step
constraint posed by the mutual drag force as well as to achieve the highest
degree of accuracy. To validate our algorithm, we use an extensive suite of
benchmarks with known solutions in one, two, and three dimensions, including
the linear growth and the nonlinear saturation of the streaming instability. We
demonstrate numerical convergence and satisfactory consistency in all cases.
Our algorithm can for example be applied to model the evolution of the
streaming instability with mm/cm-sized pebbles at high mass loading, which has
important consequences for the formation scenarios of planetesimals.


title: Small Black Holes and Near-Extremal CFTs

abstract:
  Pure theories of AdS$_3$ quantum gravity are conjectured to be dual to CFTs
with sparse spectra of light primary operators. The sparsest possible spectrum
consistent with modular invariance includes only black hole states above the
vacuum. Witten conjectured the existence of a family of extremal CFTs, which
realize this spectrum for all admissible values of the central charge. We
consider the quantum corrections to the classical spectrum, and propose a
specific modification of Witten's conjecture which takes into account the
existence of "small" black hole states. These have zero classical horizon area,
with a calculable entropy attributed solely to loop effects. Our conjecture
passes various consistency checks, especially when generalized to include
theories with supersymmetry. In theories with $\mathcal{N}=2$ supersymmetry,
this "near-extremal CFT" proposal precisely evades the no-go results of
Gaberdiel et al.


title: Cosmological constraints on Dark Matter models for collider searches

abstract:
  Searches for Dark Matter at the LHC are commonly described in terms of
simplified models with scalar, pseudo-scalar, vector and axial-vector
mediators. In this work we explore the constraints imposed on such models from
the observed Dark Matter relic abundance. We present these constraints over a
range of mediator masses relevant for the LHC and for future, higher energy
colliders. We additionally compute bounds from a photon line search for the
decay of a pseudo-scalar mediator to di-photons that includes the mediator mass
region near 750 GeV. Finally, we compare cosmological constraints with the
reach of a possible future 100 TeV circular hadron collider, indirect, and
direct detection experiments.


title: Cold atoms in U(3) gauge potentials

abstract:
  We explore the effects of artificial $U(3)$ gauge potentials on ultracold
atoms. We study background gauge fields with both non-constant and constant
Wilson loops around plaquettes, obtaining the energy spectra in each case. The
scenario of metal-insulator transition for irrational fluxes is also examined.
Finally, we discuss the effect of such a gauge potential on the
superfluid-insulator transition for bosonic ultracold atoms.


title: Effective field theory investigations of the XYZ puzzle

abstract:
  Quantum Chromodynamics, the theory of strong interactions, predicts several
types of bound states. Among them are mesons ($q\bar{q}$) and baryons ($qqq$),
which have been the only states observed in experiments for years. However, in
the last decade, many states that do not fit this picture have been observed at
$B$-factories (BaBar, Belle and CLEO), at $\tau$-charm facilities (CLEO-c,
BESIII) and also at proton-proton colliders (CDF, D0, LHCb, ATLAS, CMS). There
is growing evidence that at least some of the new charmonium- and
bottomonium-like states, the so-called XYZ mesons, are new forms of matter such
as quark-gluon hybrids, mesonic molecules or different arrangements of
tetraquarks, pentaquarks... Effective Field Theories (EFTs) have been
constructed for heavy-quark-antiquark bound states, but a general study of the
XYZ mesons within the same framework has not yet been done. The scope of this
conference proceedings is to discuss the possibilities we have in developing
novel EFTs that, characterizing the conventional quarkonium states, facilitate
also the systematic and model-independent description of the new exotic matter,
in particular, the hybrid mesons.


title: Simulation of optical response functions in molecular junctions

abstract:
  We discuss theoretical approaches to nonlinear optical spectroscopy of
molecular junctions. Optical response functions are derived in the form
convenient for implementation of Green function techniques, and their
expressions in terms of pseudoparticle nonequilibrium Green functions are
proposed. The formulation allows to account for both intra-molecular
interactions and hybridization of molecular states due to coupling to contacts.
Two-dimensional optical spectroscopy in junctions is considered as an example.


title:
The Nearest Isolated Member of the TW Hydrae Association is a Giant
  Planet Analog

abstract:
  In a recent search for unusually red L and T dwarfs, we identified 2MASS
J11193254-1137466 as a likely young L7 dwarf and potential member of the TW
Hydrae association. We present spectra that confirm the youth of this object.
We also measure a radial velocity of 8.5 +/- 3.3 km/s that, together with the
sky position, proper motion and photometric distance, results in a 92%
probability of membership in the TW Hydrae association, with a calibrated field
contamination probability of 0.0005% using the BANYAN II tool. Using the age of
TW Hydrae and the luminosity of 2MASS J11193254-1137466, we estimate its mass
to be 4.3--7.6 MJup. It is the lowest-mass and nearest isolated member of TW
Hydrae at a kinematic distance of 28.9 +/- 3.6 pc, and the second-brightest
isolated <10 MJup object discovered to date.


title: Numerical Modeling of the Early Light Curves of Type IIP Supernovae

abstract:
  The early rise of Type IIP supernovae (SN IIP) provides important information
for constraining the properties of their progenitors. This can in turn be
compared to pre-explosion imaging constraints and stellar models to develop a
more complete picture of how massive stars evolve and end their lives. Using
the SuperNova Explosion Code (SNEC), we model the first 40 days of SNe IIP to
better understand what constraints can be derived from their early light
curves. We use two sets of red supergiant progenitor models with zero-age main
sequence masses in the range between 9 Msol and 20 Msol. We find that the early
properties of the light curve depend most sensitively on the radius of the
progenitor, and thus provide a relation between the g-band rise time and the
radius at the time of explosion. This relation will be useful for deriving
constraints on progenitors from future observations, especially in cases where
detailed modeling of the entire rise is not practical. When comparing to
observed rise times, the radii we find are a factor of a few larger than
previous semi-analytic derivations and generally in better agreement with what
is found with current stellar evolution calculations.


title: Limitations on Dimensional Regularization in Renyi Entropy

abstract:
  Dimensional regularization is a common method used to regulate the UV
divergence of field theoretic quantities. When it is used in the context of
Renyi entropy, however, it is important to consider whether such a procedure
eliminates the statistical interpretation thereof as a measure of entanglement
of states living on a Hilbert space. We therefore examine the dimensionally
regularized Renyi entropy of a 4d unitary CFT and show that it admits no
underlying Hilbert space in the state-counting sense. This gives a concrete
proof that dimensionally regularized Renyi entropy cannot always be obtained as
a limit of the Renyi entropy of some finite-dimensional quantum system.


title:
Natural Framework for Device-Independent Quantification of Quantum
  Steerability, Measurement Incompatibility, and Self-Testing

abstract:
  We introduce the concept of assemblage moment matrices, i.e., a collection of
matrices of expectation values, each associated with a conditional quantum
state obtained in a steering experiment. We demonstrate how it can be used for
quantum states and measurements characterization in a device-independent
manner, i.e., without invoking any assumption about the measurement or the
preparation device. Specifically, we show how the method can be used to lower
bound the steerability of an underlying quantum state directly from the
observed correlation between measurement outcomes. Combining such
device-independent quantifications with earlier results established by Piani
and Watrous [Phys. Rev. Lett. 114, 060404 (2015)], our approach immediately
provides a device-independent lower bound on the generalized robustness of
entanglement, as well as the usefulness of the underlying quantum state for a
type of subchannel discrimination problem. In addition, by proving a
quantitative relationship between steering robustness and the recently
introduced incompatibility robustness, our approach also allows for a
device-independent quantification of the incompatibility between various
measurements performed in a Bell-type experiment. Explicit examples where such
bounds provide a kind of self-testing of the performed measurements are
provided.


title: The Arithmetic of Diophantine Approximation Groups II: Mahler Arithmetic

abstract:
  This is the second paper in a series of two in which a global algebraic
number theory of the reals is formulated with the purpose of providing a
unified setting for algebraic and transcendental number theory. In this paper,
to any real number $\theta$ we associate its polynomial diophantine
approximation ring: a tri-filtered subring of a nonstandard model of the ring
$\mathbb{Z}[X]$. We characterize the filtration structure of the polynomial
diophantine approximation ring according to the Mahler class and the Mahler
type of $\theta$. The arithmetic of polynomial diophantine approximation groups
is introduced in terms of the tensor product of polynomials. In particular, it
is shown that polynomial diophantine approximation groups have the structure of
approximate ideals: wherein a partial tensor product of two polynomial
diophantine approximation groups may be performed by restriction to
substructures of the tri-filtration. The explicit characterization of this
partial product law is the main theorem of this paper.


title:
Edge theory approach to topological entanglement entropy, mutual
  information and entanglement negativity in Chern-Simons theories

abstract:
  We develop an approach based on edge theories to calculate the entanglement
entropy and related quantities in (2+1)-dimensional topologically ordered
phases. Our approach is complementary to, e.g., the existing methods using
replica trick and Witten's method of surgery, and applies to a generic spatial
manifold of genus $g$, which can be bipartitioned in an arbitrary way. The
effects of fusion and braiding of Wilson lines can be also straightforwardly
studied within our framework. By considering a generic superposition of states
with different Wilson line configurations, through an interference effect, we
can detect, by the entanglement entropy, the topological data of Chern-Simons
theories, e.g., the $R$-symbols, monodromy and topological spins of
quasiparticles. Furthermore, by using our method, we calculate other
entanglement measures such as the mutual information and the entanglement
negativity. In particular, it is found that the entanglement negativity of two
adjacent non-contractible regions on a torus provides a simple way to
distinguish Abelian and non-Abelian topological orders.


title: Sorting motile rods by activity

abstract:
  We show, through experiments and simulations, that geometrically polar
granular rods, rendered active by the transduction of vertical vibration,
undergo a collective trapping phase transition in the presence of a V-shaped
obstacle when the opening angle drops below a threshold value. We propose a
mechanism that accounts qualitatively for the transition, based on the
cooperative reduction of angular noise with increasing area fraction. We
exploit the sensitivity of trapping to the persistence of directed motion to
sort particles based on the statistical properties of their activity.


title:
Overlapping Circles Grid Drawn with Compass and Straightedge on an
  Egyptian Artifact of 14th Century BC

abstract:
  The study of the mathematics and geometry of ancient civilizations is a task
which seems to be very difficult or even impossible to fulfil, if few written
documents, or none at all, had survived from the past. However, besides the
direct information that we can have from written documents, we can gain some
indirect evidence on mathematics and geometry also from the analysis of the
decorations we find on artifacts. Here, for instance, we will show that ancient
Egyptians were able of making geometric constructions using compass and
straightedge, quite before the Greek Oenopides of Chois, who lived around 450
BC, had declared some of their basic principles. In fact, a wood panel covered
by an overlapping circles grid pattern, found in the tomb of Kha, an architect
who served three kings of 18th Dynasty (1400-1350 BC), evidences that some
simple constructions with compass and straightedge were used in ancient Egypt
about nine centuries before Oenopides' time.


title:
A technique for constraining the driving scale of turbulence and a
  modified Chandrasekhar-Fermi method

abstract:
  The Chandrasekhar-Fermi method is a powerful technique for estimating the
strength of the mean magnetic field projected on the plane of the sky. In this
paper, we present a technique for improving the Chandrasekhar-Fermi method, in
which we take into account the averaging effect arising from independent eddies
along the line of sight . In the conventional Chandrasekhar-Fermi method, the
strength of fluctuating magnetic field divided by $\sqrt{4 \pi \bar{\rho}}$,
where $\bar{\rho}$ is average density, is assumed to be comparable to the
line-of-sight velocity dispersion. This however is not true when the driving
scale of turbulence $L_f$, i.e. the outer scale of turbulence, is smaller than
the size of the system along the line of sight $L_{los}$. In fact, the
conventional Chandrasekhar-Fermi method over-estimates the strength of the mean
plane-of-the-sky magnetic field by a factor of $\sim \sqrt{ L_{los}/L_f}$. We
show that the standard deviation of centroid velocities divided by the average
line-of-sight velocity dispersion is a good measure of $\sqrt{ L_{los}/L_f}$,
which enables us to propose a modified Chandrasekhar-Fermi method.


title:
Hybrid Ant Colony Optimization in solving Multi-Skill
  Resource-Constrained Project Scheduling Problem

abstract:
  In this paper Hybrid Ant Colony Optimization (HAntCO) approach in solving
Multi--Skill Resource Constrained Project Scheduling Problem (MS--RCPSP) has
been presented. We have proposed hybrid approach that links classical heuristic
priority rules for project scheduling with Ant Colony Optimization (ACO).
Furthermore, a novel approach for updating pheromone value has been proposed,
based on both the best and worst solutions stored by ants. The objective of
this paper is to research the usability and robustness of ACO and its hybrids
with priority rules in solving MS--RCPSP. Experiments have been performed using
artificially created dataset instances, based on real--world ones. We published
those instances that can be used as a benchmark. Presented results show that
ACO--based hybrid method is an efficient approach. More directed search process
by hybrids makes this approach more stable and provides mostly better results
than classical ACO.


title: Approximation by Meyer-Konig and Zeller Operators using (p, q)-CALCULUS

abstract:
  In this paper, we introduce a generalization of the $q$-Meyer-Konig and
Zeller operators by means of the $(p,q)$-integers as well as of the
$(p,q)$-Gaussian binomial coefficients. For $ 0< q < p <= 1,$ the sequence of
the $(p,q)$-Meyer-Konig and Zeller operators denoted by $M_n,p,q$ and some
results based on statistical convergence and direct theorems is obtained.
Furthermore, we show comparisons and some illustrative graphics for the
convergence of operators to a function.


title:
The higher derivatives of the inverse tangent function and rapidly
  convergent BBP-type formulas

abstract:
  We give a closed formula for the $n^{th}$ derivative of $\arctan x$. A new
expansion for $\arctan x$ is also obtained and rapidly convergent series for
$\pi$ and $\pi\sqrt 3$ are derived.


title: Stabilization of gravity water waves

abstract:
  This paper is devoted to the stabilization of the incompressible Euler
equation with free surface. We study the damping of two-dimensional gravity
waves by an absorbing beach where the water-wave energy is dissipated by using
the variations of the external pressure.


title:
It is not a Coincidence! On Curious Patterns in Calculus Optimization
  Problems

abstract:
  In this paper we consider a few Calculus optimization problems in which we
notice peculiar patterns. In each of these cases there is a geometric
explanation for the pattern showing that it is not just a coincidence.


title:
An Improved Self-Organizing Diffusion Mobile Adaptive Network for
  Pursuing a Target

abstract:
  In this letter we focus on designing self-organizing diffusion mobile
adaptive networks where the individual agents are allowed to move in pursuit of
an objective (target). The well-known Adapt-then-Combine (ATC) algorithm is
already available in the literature as a useful distributed diffusion-based
adaptive learning network. However, in the ATC diffusion algorithm, fixed step
sizes are used in the update equations for velocity vectors and location
vectors. When the nodes are too far away from the target, such strategies may
require large number of iterations to reach the target. To address this issue,
in this paper we suggest two modifications on the ATC mobile adaptive network
to improve its performance. The proposed modifications include (i)
distance-based variable step size adjustment at diffusion algorithms to update
velocity vectors and location vectors (ii) to use a selective cooperation, by
choosing the best nodes at each iteration to reduce the number of
communications. The performance of the proposed algorithm is evaluated by
simulation tests where the obtained results show the superior performance of
the proposed algorithm in comparison with the available ATC mobile adaptive
network.


title:
Chemically Tailoring Semiconducting Two-Dimensional Transition Metal
  Dichalcogenides and Black Phosphorus

abstract:
  Two-dimensional (2D) semiconducting transition metal dichalcogenides (TMDCs)
and black phosphorus (BP) have beneficial electronic, optical, and physical
properties at the few-layer limit. As atomically thin materials, 2D TMDCs and
BP are highly sensitive to their environment and chemical modification,
resulting in a strong dependence of their properties on substrate effects,
intrinsic defects, and extrinsic adsorbates. Furthermore, the integration of 2D
semiconductors into electronic and optoelectronic devices introduces unique
challenges at metal-semiconductor and dielectric-semiconductor interfaces.
Here, we review emerging efforts to understand and exploit chemical effects to
influence the properties of 2D TMDCs and BP. In some cases, surface chemistry
leads to significant degradation, thus necessitating the development of robust
passivation schemes. On the other hand, appropriately designed chemical
modification can be used to beneficially tailor electronic properties, such as
controlling doping levels and charge carrier concentrations. Overall, chemical
methods allow substantial tunability of the properties of 2D TMDCs and BP,
thereby enabling significant future opportunities to optimize performance for
device applications.


title:
Revisiting the two formulations of Bianchi identities and their
  implications on moduli stabilization

abstract:
  In the context of non-geometric type II orientifold compactifications, there
have been two formulations for representing the various NS-NS
Bianchi-identities. In the first formulation, the standard three-form flux
($H_3$), the geometric flux ($\omega$) and the non-geometric fluxes ($Q$ and
$R$) are expressed by using the real six-dimensional indices (e.g. $H_{ijk},
\omega_{ij}{}^k, Q_i{}^{jk}$ and $R^{ijk}$), and this formulation has been
heavily utilized for simplifying the scalar potentials in
toroidal-orientifolds. On the other hand, relevant for the studies beyond
toroidal backgrounds, a second formulation is utilized in which all flux
components are written in terms of various involutively even/odd $(2,1)$- and
$(1,1)$-cohomologies of the complex threefold. In the lights of recent model
building interests and some observations made in arXiv:0705.3410 and
arXiv:0709.2186, in this article, we revisit two most commonly studied toroidal
examples in detail to illustrate that the present forms of these two
formulations are not completely equivalent. To demonstrate the same, we
translate all the identities of the first formulation into cohomology
ingredients, and after a tedious reshuffling of the subsequent constraints,
interestingly we find that all the identities of the second formulation are
embedded into the first formulation which has some additional constraints. In
addition, we look for the possible solutions of these Bianchi identities in a
detailed analysis, and we find that some solutions can reduce the size of
scalar potential very significantly, and in some cases are too strong to break
the no-scale structure completely. Finally, we also comment on the influence of
imposing some of the solutions of Bianchi identities in studying moduli
stabilization.


title: Applied Algebra and Geometry: A SIAGA of Seven Pictures

abstract:
  The cover of the SIAM Journal on Applied Algebra and Geometry shows seven
pictures. We describe these pictures and discuss the topics they represent.
About the Author: Anna Seigal is a graduate student at UC Berkeley working in
applied algebra. Her interests lie in tensors and applications to biological
systems. She has a particular penchant for writing about mathematics in terms
of pictures and also blogs on this subject at
https://picturethismaths.wordpress.com/.


title: Representation Stability for Families of Linear Subspace Arrangements

abstract:
  Church-Ellenberg-Farb used the language of FI-modules to prove that the
cohomology of certain sequences of hyperplane arrangements with S_n-actions
satisfies representation stability. Here we lift their results to the level of
the arrangements themselves, and define when a collection of arrangements is
"finitely generated". Using this notion we greatly widen the stability results
to:
  1) General linear subspace arrangements, not necessarily of hyperplanes.
  2) A wide class of group actions, replacing FI by a general category C.
  We show that the cohomology of such collections of arrangements satisfies a
strong form of representation stability, with many concrete applications.
  For this purpose we develop a theory of representation stability and
generalized character polynomials for wide classes of groups. We apply this
theory to get classical cohomological stability of quotients of linear subspace
arrangements with coefficients in certain constructible sheaves.


title: Tricomplex dynamical systems generated by polynomials of even degree

abstract:
  In this article, we give the exact interval of the cross section of the
Multibrot sets generated by the polynomial $z^p+c$ where $z$ and $c$ are
complex numbers and $p \geq 2$ is an even integer. Furthermore, we show that
the same Multibrots defined on the hyperbolic numbers are always squares.
Moreover, we give a generalized 3D version of the hyperbolic Multibrot set and
prove that our generalization is an octahedron for a specific 3D slice of the
tricomplex polynomial $\eta^p+c$ where $p \geq 2$ is an even integer.


title: Who Is Guilty?

abstract:
  We discuss a generalization of logic puzzles in which truth-tellers and liars
are allowed to deviate from their pattern in case of one particular question:
"Are you guilty?"


title:
3d Deconfinement, Product gauge group, Seiberg-Witten and New 3d
  dualities

abstract:
  We construct a three dimensional deconfinement method which enables us to
find new three-dimensional dualities and we apply various techniques developed
in four dimensional supersymmetric gauge theories, such as the product gauge
groups and Seiberg-Witten curves to the three dimensional $\mathcal{N}=2$
supersymmetric gauge theories. Dual descriptions of three dimensional
$\mathcal{N}=2$ supersymmetric gauge theories which involve two-index matters,
for example, adjoint, symmetric, and anti-symmetric matters without
superpotentials can be obtained. These matters are described in terms of
s-confining phases of the supersymmetric gauge theories.


title:
Genetic cellular neural networks for generating three-dimensional
  geometry

abstract:
  There are a number of ways to procedurally generate interesting
three-dimensional shapes, and a method where a cellular neural network is
combined with a mesh growth algorithm is presented here. The aim is to create a
shape from a genetic code in such a way that a crude search can find
interesting shapes. Identical neural networks are placed at each vertex of a
mesh which can communicate with neural networks on neighboring vertices. The
output of the neural networks determine how the mesh grows, allowing
interesting shapes to be produced emergently, mimicking some of the complexity
of biological organism development. Since the neural networks' parameters can
be freely mutated, the approach is amenable for use in a genetic algorithm.


title:
Reduction to first order of the Hamiltonian Constraint of General
  Relativity

abstract:
  In this work, a method for solving the constraints of general relativity is
presented, where first all geometrical objects are written in terms of a set of
orthonormal triads and a flat Weitzenbock connection, which depends on the
triads and on a flat spin connection. It is shown that the hamiltonian
constraint can be reduced from a second order equation to a first order one.
Even though the order of the equation is reduced, we do not get any extra
equations to solve by this procedure. A conformal decomposition is also
presented.