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541,165,883,556
arxiv
\section{Introduction} \noindent General Relativity (GR) is the unique consistent classical theory for a massless, self-interacting spin two field in four dimensional spacetime \cite{Weinberg:1972kfs}. It describes accurately gravitational phenomena spanning a large interval of scales, from short distances probed ...
541,165,883,557
arxiv
\section{Introduction and preliminaries} Whenever we would like to analyze mathematically a problem, arising in the 'real' world, first we have to select a mathematical model for formulation of our problem. This means that we have to choose or invent some mathematical problem to present our 'real world problem'. T...
541,165,883,558
arxiv
\section{Introduction}\label{Introduction} The discovery of the current accelerated expansion of the universe has led the community of theoretical physicists to pose a challenging problem that has not been solved yet: the explanation of the physical mechanism responsible for this phenomenon. The solution provided by t...
541,165,883,559
arxiv
\section{Introduction \label{SecI}} The inflationary paradigm is one of the most widely accepted scenarios that describes the early Universe evolution. Traditionally, the description of the inflationary era is given in terms of a slow-rolling single scalar field, and many reviews already exist in the literature ...
541,165,883,560
arxiv
\section{Introduction}\label{s1} The aim of this paper is to prove a Borg-type uniqueness theorem for a special class of unitary doubly infinite five-diagonal matrices. The corresponding unitary semi-infinite five-diagonal matrices were first introduced by Cantero, Moral, and Vel\'azquez (CMV) in \cite{CMV03}. In \cit...
541,165,883,561
arxiv
\section{Introduction} Signals of non-baryonic dark matter (DM) in the Universe have been identified in a number of astrophysical and cosmological observations, such as the Cosmic Microwave Background anisotropy measurements, galactic rotation curves, large scale structure surveys, X-ray observations and gravitational...
541,165,883,562
arxiv
\section{Introduction}\label{sect 1} Complex singularity exponent is a quantitative measure of singularities of a holomorphic function. Arnold and Varchenko once studied some special cases of it from different perspectives. In \cite{tia89}, Tian first defined it clearly and applied it to his study of the Calabi probl...
541,165,883,563
arxiv
\section{Introduction} The problem of constructing codes capable of correcting insertion and deletion errors has been studied since 1965 when Levenshtein published his work~\cite{Levenshtein1966binary}, where he established that any code is capable of correcting $t$ deletions if and only if it is capable...
541,165,883,564
arxiv
\section{Introduction} The Sloan Digital Sky Survey (SDSS) is arguably the most ambitious digital data base of the celestial sphere yet undertaken. It employs a special purpose 2.5m telescope, an unusually large camera, and a pair of multi-fibre spectrographs, located on Apache Point, New Mexico. Construction of all...
541,165,883,565
arxiv
\section{Introduction} Young stars host gaseous accretion disks called protoplanetary disks. They are a by-product of star formation from a molecular cloud. Observed protoplanetary disks (of age $\sim 1~{\rm Myr}$) are characterized by an outer radius of $\sim 100~\AU$ \citep{K+02,A+09} and an accretion rate of $\sim...
541,165,883,566
arxiv
\section*{A} The geodesic slicing condition imposes the hypersurface unit normal $n^{\mu}$ to be tangent to timelike geodesics. Here it should be noted that the nearby timelike geodesics have a tendency to cross with each other in region curved by gravity, e.g. due to the concentration of matter. If the crossing of th...
541,165,883,567
arxiv
\section{Introduction\label{intro}} Since the successful realization of an atomic Bose--Einstein condensate (BEC) composed of two different hyperfine spin states of $^{87}$Rb~\cite{PhysRevLett.78.586}, experimental and theoretical work has advanced greatly in the field of two--component BECs. These have been produce...
541,165,883,568
arxiv
\section{Introduction } \global\long\def\figurename{Fig.} Low-cost, low-power millimeter-wave (mmWave) techniques have been developed to provide radio access capacity for massive Internet of Things (mIoT) applications, such as smart city infrastructure, healthcare and self-driving cars \cite{re1,re2,re3}. In an...
541,165,883,569
arxiv
\section{Introduction} The Kadomtsev--Petviashvili equation in its version called KPII \begin{equation} (u_{t}-6uu_{x_{1}}+u_{x_{1}x_{1}x_{1}})_{x_{1}}=-3u_{x_{2}x_{2}},\label{KPII} \end{equation} where $u=u(x,t)$, $x=(x_{1},x_{2})$ and subscripts $x_{1}$, $x_{2}$ and $t$ denote partial derivatives, is a (2+1)-d...
541,165,883,570
arxiv
\section{Introduction} Particle-hole, or exciton, level densities enter into the description of partial decay rates in nuclear preequilibrium emission\cite{griffin66,Strohmaier97,FKK}. These level densities have been modeled using analytic expressions\cite{blann68,williams71} that describe nuclear excitations in terms...
541,165,883,571
arxiv
\section{Introduction} The Drell-Yan (DY) lepton-pair hadroproduction process is of crucial importance for particle physics. It is used as a standard candle for precision electroweak measurements at the LHC; it helps to understand the QCD evolution, resummation, factorization, both the collinear and transverse moment...
541,165,883,572
arxiv
\section{Introduction} \label{sec: Intro} Discovering or engineering materials displaying superconductivity at room temperature represents an extraordinary challenge, with obvious disruptive technological implications. Since the critical temperature $T_{\rm c}$ for conventional BCS superconductors is typically as lo...
541,165,883,573
arxiv
541,165,883,574
arxiv
\section{Introduction} Image retrieval is the problem of searching for digital images in large databases. It can be classified into two types: text-based image retrieval and content-based image retrieval~\cite{rui_jvcir99}. Text-based image retrieval (or concept-based image retrieval) refers to an image retrieval fra...
541,165,883,575
arxiv
\section{Introduction} There is now a compelling body of evidence that AI systems deployed in high-stakes domains like healthcare, criminal justice, and education can be biased against socioeconomically disadvantaged communities. Examples include bias in facial and object recognition \citep{buolamwini2018gender, devrie...
541,165,883,576
arxiv
\section{Introduction} Coding theory has been extensively studied since 1949, when Claude Shannon proved in his seminal paper \cite{Shannon} that linear codes can be used to reliably transmit information from a single source to a single receiver through a noisy channel. Since then, coding theory has found many importan...
541,165,883,577
arxiv
\section{Introduction} We denote by $L^p$ the usual Lebesgue spaces of functions on the unit circle $\mathbb{T}$ with norm $\|\cdot\|_p$. Given $f\in L^1$, let $u$ be the Poisson integral of $f$ and denote by $\tilde u$ the harmonic conjugate function of $u$, normalized so that $\tilde u(0)=0$. Then $\tilde u(z)$ has n...
541,165,883,578
arxiv
\section{Introduction} \label{intro} 'Privacy' \cite{privacy_definition} is defined as - "a sweeping concept, encompassing (among other things) freedom of thought, control over one’s body, solitude in one’s home, control over personal information, freedom from surveillance, protection of one’s reputation, and protectio...
541,165,883,579
arxiv
\section{Introduction} Stereo image processing has become an increasingly active research field in computer vision with the development of stereoscopic vision. Based on stereo images, many key technologies such as depth estimation \cite{godard2017unsupervised,liu2015deep,riegler2019connecting}, scene understanding \ci...
541,165,883,580
arxiv
\section{Introduction} As the use of robotics and artificial agents continue to expand, there is a growing need for better forms of communication between human and computer. While speech based mediums are common in home assistants and robots, we contend that for many human-agent collaborations, semantic meaning is not ...
541,165,883,581
arxiv
\section{Introduction} Recently the LHCb collaboration has released a series of papers \cite{lhcbbskk} \cite{lhcbb4pi} \cite{lhcbbspipi} \cite{lhcbbdkk} \cite{lhcbbdpipif980} \cite{lhcbbdpipinof980} on $B_d$ or $B_s$ decays to $J/\psi + X$ where $X$ is a scalar or axial vector meson. This mechanism gives ...
541,165,883,582
arxiv
\section{Introduction} \IEEEPARstart{N}{eutron} diagnostics plays a particularly important role in fusion devices. In particular, in the new generation reactors such as ITER, in which huge neutron fluxes produced by the at fusion power of 500 MW must be monitored to estimate the reactor structural damage and the activa...
541,165,883,583
arxiv
\section{Introduction}\label{sec:intro} Merger products of white dwarfs (WDs) composed of carbon and oxygen have been thought to result in type Ia supernovae~\citep[e.g.,][]{1984ApJ...277..355W,1984ApJS...54..335I}, neutron stars~\citep[e.g.,][]{1985A&A...150L..21S,2012ApJ...748...35S}, rejuvenated hydrogen-deficient s...
541,165,883,584
arxiv
\section{Introduction} Accounts of subjunctive conditionals based on internal \emph{causal models} offer an alternative to approaches based on ranking possible worlds by similarity \cite{lewis73}. One might, e.g., employ \emph{structural equation models} (SEMs), i.e. systems of equations connecting the values of releva...
541,165,883,585
arxiv
\section{Introduction} This paper summarizes a course titled {\em Online Communication and Society}, taught at California State University Channel Islands with code COMP 347. This class starts from the following premise: \begin{quote} {\em you have been hired by a company with a small Communication budget, but ambit...
541,165,883,586
arxiv
\section*{Acknowledgments} This work was supported by JSPS KAKENHI Grant Numbers JP17H01697 (SI), JP20H04141 (HB), and JST PRESTO Grant Number JPMJPR1922 (SI). \section{Algorithm} We begin with a simple folklore reduction of computing $\mathsf{LSS}(S)$ to computing the LCS of $n-1$ pairs of the prefix and the suff...
541,165,883,587
arxiv
\section{Introduction} Often the collapse of massive stars results in the formation of a black hole (BH) instead of a neutron star. Observations of supernova progenitors suggest that a large fraction of stars above $15\,\ensuremath{\mathrm{M}_\odot}\ldots 18\,\ensuremath{\mathrm{M}_\odot}$ collapse quietly to BHs \ci...
541,165,883,588
arxiv
\section{Introduction} It is generally observed that more data bring about better performance in Machine Learning (ML) tasks \cite{adewumi2019conversational, stevens2020deep}. What may not be very clear is the behaviour of variance of homogeneity in datasets. It is always better to have a balanced or broad-based datase...
541,165,883,589
arxiv
\section{Introduction} \IEEEPARstart{T}{he} possibility of wireless environment control has motivated the incorporation of \emph{reflective intelligent surfaces} (RISs) to future wireless networks. A RIS is comprised of many programmable elements \cite{Williams2020}. Each element is equipped with a circuit design that...
541,165,883,590
arxiv
\section{Introduction} Let $p$ be a prime and let $\mathcal{G}$ be a profinite group. We denote the complete group algebra of $\mathcal{G}$ over $\mathbb{Z}_p$ by $\Lambda(\mathcal{G})$. In classical Iwasawa theory one studies modules over $\Lambda(\Gamma)$ with $\Gamma \simeq \mathbb{Z}_p$ up to pseudo-isomorphism. Ja...
541,165,883,591
arxiv
\section{Introduction} Phenomena observed at low surface brightness hold the potential to inform many areas of astronomy. Examples include diffuse cirrus emission, which provides information on the interstellar medium in the Milky Way ({Miville-Desch{\^e}nes} {et~al.} 2016); light echoes, which can be used to characte...
541,165,883,592
arxiv
\section{Introduction} The vast and prolific area of {\em permutation patterns} considers permutations as {\em linear orders}. In this concept, a permutation $p$ is a linear array $p_1p_2\cdots p_n$ of the first $n$ positive integers in some order, so that each integer occurs exactly once. We say that a permutation $p...
541,165,883,593
arxiv
\section{Introduction} Dozen years after its unexpected and somewhat serendipitous discoverty, the accelerated expansion of the universe is taken for granted due to the flood of data from different astrophysical probes confirming it (see, e.g., \cite{W12} for a not updated yet exhaustive review). Although the spatiall...
541,165,883,594
arxiv
\section{Introduction} \label{sec:Introduction} In quantum mechanics, physical processes are described in a way assigning an essential role to the observer. Rather than predicting on the basis of complete initial conditions the unambiguous development of some physical system, the theory assigns probabilities to pairs ...
541,165,883,595
arxiv
\section{Hard-sphere gases as ideal gases with multi-core boundaries: An approach to two- and three-dimensional interacting gases} By regarding a hard-sphere gas as an ideal gas confined in a container with a multi-core boundary, i.e., a container filled with small excluded spheres (Fig. 1), we calculate the grand pot...
541,165,883,596
arxiv
\section{Introduction} In complex analysis, the Monge-Ampere operator represents the objective of several studies since Bedford and Taylor \cite{BT82, BT76} demonstrated that the operator $ (dd ^ c.)^n$ is well defined on the set of locally bounded plurisubharmonic ( psh) functions defined on an hyperconvex domai...
541,165,883,597
arxiv
\section*{\sffamily \Large INTRODUCTION} It is a fact that Nature has different timescales\cite{timescales}. This is well known to Gromacs\cite{grom} users who often deal with systems characterized by free energy surfaces with several metastable states separated by high potential barriers. A typical example is th...
541,165,883,598
arxiv
\section{Introduction} The interactions of polymer molecules and fluids are of great importance in many areas of applied sciences. Polymeric fluid analysis also has various practical applications including performances in industrial and household items such as paints, lubricants, plastics and in the processing of foo...
541,165,883,599
arxiv
\section{Introduction} Let $p$ be an odd prime. Let $K$ be a $p$-adic field, let $\cO$ be its valuation ring, $\varpi$ be a uniformizing parameter and $k=\cO/(\varpi)$ be the residue field. Let $\Gamma$ be a profinite group satisfying $(\Phi_p)$ the $p$-Frattini quotient $\Gamma/\Gamma^p(\Gamma,\Gamma)$ is ...
541,165,883,600
arxiv
\section{Introduction} \label{sec:introduction} Ride-sharing platforms, also known as transportation network companies, have become commonplace due factors such as high costs of car ownership, lack of parking, and persistent traffic congestion \cite{Mitchell2010, Board2016, Hass-Klau2007, Javid2016, Mcbain2018}. Tradi...
541,165,883,601
arxiv
\section{Introduction} Easy access of publications via web has increased their visibility, leading the volume of authors and their publications increased exponentially, especially in computer science (CS) domain, during last decade~\cite{ChakrabortySTGM13} and made ranking authors harder. An effective index may help no...
541,165,883,602
arxiv
\section{Introduction} One hundred years after the invention of classical general relativity we hereby propose a class of new actions for gravity and gauge theories. Theories described by these actions are all compatible with quantum mechanics in any spacetime dimension. By the compatibility of these field theori...
541,165,883,603
arxiv
\section{Introduction} Modern population genetics theory can be broken down into two broad subclasses: forward-in-time, in which the generation-to-generation allele frequency dynamics are tracked, and backward-in-time, in which genealogical relationships are modeled. While forward-in-time models were developed first, t...
541,165,883,604
arxiv
\section{Introduction} In tokamaks, non-axisymmetric magnetic field perturbations such as toroidal field ripple, error fields and perturbation fields from Edge Localized Mode (ELM) mitigation coils produce non-ambipolar radial transport at non-resonant flux surfaces occupying most of the plasma volume. The toroidal ...
541,165,883,605
arxiv
\section{Introduction} Aquaculture has gradually attached more importance since fish demand has sharply increased. China is one of the most crucial aquaculture countries in the world, but there are still some problems with low digitalization, intelligence, and labor productivity \cite{c1}. Detecting the aquatic environ...
541,165,883,606
arxiv
\section{\label{sec:intro}Introduction} M-theory is a magical theory with quite little knowledge about it, such that, to improve its current definition we must focus on 11 dimensional (11d) supergravity \cite{CS}. These supergravity theories are low-energy limit of M-theory, whereas, 10d supergravity is the low-energy...
541,165,883,607
arxiv
\section{Experimental Setting for Parameterized Tasks} \label{sec:injecting-prior} The episode terminates after 50 steps for `Independent' and `Object-dependent' cases and 70 steps for `Inter/Extrapolation' case. The agent receives a positive reward ($+1$) when it successfully finishes the given task and receives a tim...
541,165,883,608
arxiv
\section{Introduction} \label{intro} Heavy ion collisions provide the only way to laboratory studies of dense hadronic matter and hopefully also of theoretically predicted Quark- Gluon Plasma $(QGP)$. Hanbury- Brown and Twiss $(HBT)$ interferometry [1,2] brings information about dimensions of the homogeneity region [...
541,165,883,609
arxiv
\section{Amari and Pythagoras in Las Vegas} \label{sec:APLV} Independent Component Analysis (ICA) of a random $N$-vector $X$ consists in finding a linear transform $B$ (an invertible $N\times N$ matrix) making the entries of $Y=BX$ `as independent as possible'. There are (infinitely) many matrices $B$ which can decorr...
541,165,883,610
arxiv
\section{Introduction} \subsection{Relevance of the known asymptotics} Arakelov invariants, such as the Faltings's delta function and the self-intersection of the relative dualizing sheaf, play an important role in Arakelov geometry. In particular, the self-intersection of the relative dualizing sheaf on an arithmeti...
541,165,883,611
arxiv
\section{Introduction} The moduli space of flat connections for a principal bundle over a surface $\Sigma$ with genus $g$ is an infinite dimensional analogue of a symplectic reduction and was investigated for the first time in 1983 by Atiyah and Bott (cf. \cite{MR702806}) who showed that, on this particular moduli spa...
541,165,883,612
arxiv
\section{Introduction} CC~SNe are the explosive end of massive stars. A range of physical processes power their electromagnetic output, however the vast majority of explosions show a common property: they produce a significant amount of radioactive material that powers their luminosity at some epoch. The dominant radio...
541,165,883,613
arxiv
\section{Introduction} Infectious diseases spread through media such as air, water, direct contact or carriers such as insects, flies, and mosquitoes \cite{2,32}. The dynamics may well be understood by modeling causes or carriers of the disease. It is not possible all the time to control the media or carriers involved...
541,165,883,614
arxiv
\section{Introduction} The derivation of physically sound models describing the dynamics of multiphase flows in various settings is an important topic of active research. Multiphase flows arise in a vast variety of physical and engineering applications; they can involve single or multiple fluid, solid and gas phases, ...
541,165,883,615
arxiv
\section{Introduction} A {\it{knot projection}} is the image of a generic immersion from a circle into a $2$-sphere. In particular, every self-intersection is a transverse double point, which is simply called a {\it{double point}}. Every double point consists of two branches and thus, if the two branches are given o...
541,165,883,616
arxiv
\section{Introduction} Few star forming regions surpass the resplendent beauty of NGC\,2264, the richly populated Galactic cluster in the Mon OB1 association lying approximately 760 pc distant in the local spiral arm. Other than the Orion Nebula Cluster, no other star forming region within one kpc possesses such a bro...
541,165,883,617
arxiv
\section{Introduction} This short paper deals with the extremal structure of the unit ball of Lipschitz-free Banach spaces. Let us begin by establishing our work setting. Given a complete pointed metric space $(M,d)$, where we choose an arbitrary element $0\in M$ as a base point, we consider the Lipschitz space $\Li...
541,165,883,618
arxiv
\section{Introduction} In a series of work culminating in the book \cite{KRYbook}, Kudla, Rapoport and the third named author studied certain families of arithmetic ``special" cycles that live on arithmetic models of Shimura curves. Among their results are \emph{arithmetic Siegel-Weil formulas} in genus one and two...
541,165,883,619
arxiv
\section{Introduction}\label{sec:introduction} The digital footprint of Internet users is growing at an unprecedented pace, driven by the pervasiveness of online interactions and large number of posts, likes, check-ins, and content shared everyday. This creates invaluable sources of information that online service prov...
541,165,883,620
arxiv
\section{Introduction}\label{sec:intro} In the 1930s, Seifert gave an algorithm that starts with a link diagram $D(K)$ and produces an orientable surface whose boundary is $K$ \cite{seifert:algorithm}. The algorithm works as follows. For every crossing of $D$, smooth the diagram near the crossing by following an orien...
541,165,883,621
arxiv
\section{Introduction} Classification is a supervised learning problem that consists of finding a function that learns the relation between inputs and outputs, where the outputs are a set of labels. It could be applied for solving problems like object recognition, medical diagnosis, identification of symbols, among ot...
541,165,883,622
arxiv
\section{Introduction}\label{s:i} Constructing efficient signal filters is a fundamental problem in signal processing with a vast literature; see, e.g.,\ recent papers \cite{phj12,6778405,6319316,mrs2009,ckh2014,6957555} and references there. A filter can be described by a transformation $F$, often non-linear, of an i...
541,165,883,623
arxiv
\section*{Methods}% \setlength{\parskip}{12pt}% }{} \renewcommand\refname{\vspace{-48pt}\setlength{\parskip}{12pt}} \newenvironment{addendum}{% \setlength{\parindent}{0in}% \small% \begin{list}{Acknowledgements}{% \setlength{\leftmargin}{0in}% \setlength{\listparindent}{0in}% ...
541,165,883,624
arxiv
\section{Introduction} \label{sec:introduction} Recent development of the fifth-generation (5G) network as well as the explosive growth of the Internet of Things (IoT) devices draw attention to spectrum management (SM), especially dynamic spectrum access. The hybrid spectrum landscape in 5G, i.e., microwave and millim...
541,165,883,625
arxiv
\section{Introduction} \label{sec:intro} The era of the gravitational-wave astronomy was opened by the first detection of a binary black hole merger GW150914 \cite{abbott2016feb}. For the event GW170817 \cite{abbott2017oct1}, the electromagnetic counterpart signals were successfully detected \cite{abbott2017oct2, abbot...
541,165,883,626
arxiv
\section{Introduction} \label{sec:introduction} Following the introduction of Einstein's special theory of relativity in 1905, it was generally believed that the existence of faster-than-light (FTL) particles would violate causality, and they could not therefore exist. Tolman's 1917 `anti-telephone' scenario \cite{t...
541,165,883,627
arxiv
\section{Introduction} \label{sec:intro} It has been over 25 years since the discovery of the $W$ and $Z$ gauge bosons in the UA1 and UA2 colliders at CERN, and we are finally on the verge of discovering the source of their mass. With the on-going studies at the Tevatron collider at Fermilab and the turn-on of the Larg...
541,165,883,628
arxiv
\section{INTRODUCTION} The high stellar densities typical of globular clusters (GCs) make stellar interactions very likely events. For this reason it is expected that in GCs stellar evolution is strongly affected by the environment. Indeed GCs are efficient furnaces of exotic populations, like X-ray binaries, mill...
541,165,883,629
arxiv
\section{Introduction} The maximally supersymmetric Yang-Mills theory in four dimensions ($\mathcal{N}=4$ SYM theory) has many special properties; among others, it has a dual string theory description and is integrable in the planar limit. In addition, the theory can be formulated in twistor space \cite{Witten:2003nn,...
541,165,883,630
arxiv
\section{Introduction} Experimental evidence for ultracold chemistry of quantum-state controlled molecules~\cite{Ospelkaus10-SCIENCE} and dipolar collisions in the quantum regime~\cite{Ni10-NATURE} has been obtained recently for fermionic KRb molecules in the lowest electronic, vibrational, rotational quantum state~\...
541,165,883,631
arxiv
\section{Introduction} \setcounter{equation}{0} \renewcommand{\theequation}{\thesection.\arabic{equation}} The notion of geometric crystals is introduced as a geometric analogue to Kashiwara's crystals(\cite{BK}). For a fixed Cartan data $(A,\{\alpha_i\}_{i\in I},\{h_i\}_{\i\in I})$, it is defined as a quadruple $(X,...
541,165,883,632
arxiv
\section{Introduction} Many of the functions of interest to number theorists are multiplicative. That is they satisfy $f(mn)= f(m) f(n)$ for all coprime natural numbers $m$ and $n$. Some examples are the M{\" o}bius function $\mu(n)$, the function $n^{it}$ for a real number $t$, and Dirichlet characters $\chi(n...
541,165,883,633
arxiv
\chapter{Analysis of Spatially Extended \Acstitle{LAT} Sources} \chaplabel{extended_analysis} \paperref{This chapter is based the first part of the paper ``Search for Spatially Extended Fermi-LAT Sources Using Two Years of Data'' \citep{lande_2012_search-spatially}.} As we discussed in \subsecref{2fgl}, spatial e...
541,165,883,634
arxiv
\section{Introduction} Deep learning methods have achieved remarkable performances in many fields, see \cite{lecun2015deep} and the references therein. One of the widely-recognized property of deep neural networks is over-parameterization \cite{Denton2014ExploitingLS}. Such a property requires high computational cost a...
541,165,883,635
arxiv
\section{Introduction} As was pointed out by Slater as early as in the 1930s,\cite{s36} the intra-atomic (Hund's) exchange interaction is of great importance for ferromagnetism in transition metals. Also the intensive study of transition-metal oxides---fueled by the discovery of high-temperature superconductivity--...
541,165,883,636
arxiv
\section{Introduction} \label{sec: intro} In Multi-Agent Reinforcement Learning (MARL), communication plays a key role in facilitating knowledge sharing and collaboration \citep{dial,flow}. The information in agents' messages alleviates the limitation of \emph{partial observation}. Communication leads to better...
541,165,883,637
arxiv
\section{Introduction} Processes on complex networks may consist of events on links with a specific starting time and duration. When no event happens, the link can be considered as temporarily absent. Typical examples are communication networks or airline connections. Phenomena related to such processes are best descri...
541,165,883,638
arxiv
\section{Introduction} One of the main objectives of additive combinatorics is to show that a set cannot be simultaneously additively and multiplicatively structured. In particular, if one defines the sumset $$ A+A = \{a + a' : a,a' \in A \} $$ and the product set $$ A \cdot A = \{aa' : a,a' \in A \} $$ o...
541,165,883,639
arxiv
\section{#1}\setcounter{equation}{0}} \renewcommand{\theequation}{\thesection.\arabic{equation}} \newcommand{\displaystyle}{\displaystyle} \newcommand\crbig{\\\noalign{\vspace {1.5mm}}} \newcommand{\mathop{\rm Tr}\nolimits}{\mathop{\rm Tr}\nolimits} \newcommand{\mathop{\rm Re}\nolimits}{\mathop{\rm Re}\nolimits} \newc...
541,165,883,640
arxiv
\section{Introduction} \label{sect:Intro} Among the high energy (above tens MeV) afterglow of Gamma-ray Burst (GRB) detected so far, that of GRB 940217 is the longest and also the most energetic one. The sub-GeV emission lasted more than 5000 seconds and it included also a 18 GeV photon \cite{Hurley94}. The spectrum in...
541,165,883,641
arxiv
\section{Introduction} \label{sec:introduction} In the modern locally covariant approach, an algebraic quantum field theory (AQFT) is realised as a functor whose domain is a category of spacetimes and whose codomain is a category of algebras of observables \cite{BrunettiFredenhagenVerch2003,Fews...
541,165,883,642
arxiv
\section{Introduction.} \label{sec-1} Actin polymerization drives the protrusion of lamellipodia and pseudopodia that play important roles in cell sensing and motility~\cite{boal,howardbook, phillips}. Actin polymerization is also the mechanism behind motion of growth cones in dendrites of neurons, organelles in cell...
541,165,883,643
arxiv
\section{Introduction} \label{sec-intro} In recent years a number of large arrays using plastic and/or CsI scintillators have been built for heavy ion experiments \cite{plasticball,4pi,flyseye,pouliot88,pagoda,dwarf,miniball,pruneau90,% leegte92,cebra92,medea,alf,iori93,isis,indra1,indra2}. While these arrays offer a r...
541,165,883,644
arxiv
\section{Introduction} Most econometric analysis of financial markets based on the various versions of stochastic differential equations (SDEs) have been limited to the case when the exponent of noise multiplicativity $\eta$ is lower than $1$ \cite{jeanblanc2009}. This is related to the general econometric assumptions ...
541,165,883,645
arxiv
\section{Introduction} \label{sec:intro} Over the years, studying phenomena and properties of one-dimensional short-ranged quantum spin models in presence of magnetic fields have created lots of interest \cite{qptbook2, qptbook1} since several such Hamiltonians can be mapped to spinless fermions \cite{spinless} or ...
541,165,883,646
arxiv
\section{Introduction} The discontinuous precipitation reaction is a solid-state transformation during which a supersaturated mother phase ${\alpha_0}$ decomposes into a two-phase structure consisting of the depleted $\alpha$ phase and lamellar precipitates of a new phase $\beta$. This reaction takes place at a movin...
541,165,883,647
arxiv
\section{Introduction} By \cite{kahn2012immersing,bergeron2012boundary}, every fundamental group of a closed hyperbolic 3-manifold acts geometrically on a CAT(0) cube complex with surface subgroup hyperplane stabilizers. That is, the hyperplane stabilizers are virtually fundamental groups of closed surface subgroups o...
541,165,883,648
arxiv
\section*{Abstract} We present an analysis of the zenithal night sky brightness (henceforth: NSB) measurements at 26 locations in Eastern Austria focussing on the years 2015--2016, both during clear and cloudy to overcast nights. All measurements have been performed with 'Sky Quality Meters' (SQMs). For some of the loc...
541,165,883,649
arxiv
\section{Introduction} \label{sec:Intro} It is well-established that non-perturbative worldsheet instanton corrections of string compactifications on Calabi--Yau manifolds are captured in terms of the quantum cohomology ring \cite{Witten:1988xj,MR1366548,MR1286255,MR1604364}, which arises from a deformation of the clas...
541,165,883,650
arxiv
\section{Introduction} In this paper, we describe classical field theories by means of a new variational principle, referred to as the {\it Hamilton-Pontryagin variational principle} and we show that the resulting field equations can be described in terms of {\it multi-Dirac structures}, a field theoretic extension ...
541,165,883,651
arxiv
\section{Introduction} Uranus and Neptune, the two outermost planets of our solar system, share a large number of very similar observed values such as mean density, surface temperature, atmospheric composition, and magnetic field morphology \citep{Guillot15}. These observations suggest similar structural and evolutio...
541,165,883,652
arxiv
\section{Introduction} The purpose of this paper is to derive the one-dimensional one-phase Stefan model. We are motivated by the paper \cite{FV}, where the authors represent the nonlocal in time effects by assuming that the diffusive flux is given in the form of time-fractional Riemann-Liouville derivative of temper...
541,165,883,653
arxiv
\section{Introduction} Wooley~\cite{Wooley} considered a system of $n$ modular polynomial equations in $n$ variables over the integers modulo any prime power $p^s$, and gave an elementary proof of the fact that the number of {\em non-singular} solutions is bounded by the product of the degrees. Later, Zhao~\cite[Lemma...
541,165,883,654
arxiv
\section{Introduction} Mixed traffic, consisting of traffic with different delay requirements, permeates everywhere in today's communications. To differentiate the traffic, some previous works used the queueing delay, like \cite{dovrolis2002pdsddps} \cite{zhang2014pdsmsqsi}, however, deriving the queueing delay ofte...
541,165,883,655
arxiv
\section{Introduction} A constant mean curvature (cmc) surface $\Sigma$ in a Riemannian $3$-manifold $\mathbb{M}^3$ is stable, if its stability operator $L=-\Delta-\ric(n,n)-|A|^2$ is nonnegative. The nonnegativity of this operator means that $\Sigma$ is a local minimizer of the area functional on surfaces regard to t...