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2,869,038,156,928
arxiv
\section{Introduction} Considerable progress has been recently achieved in the spectroscopy of hydrogen molecular ions. Several rovibrational transitions in HD$^+$ have been measured with relative uncertainties in the 10$^{-11}$--10$^{-12}$ range through Doppler-free spectroscopy of ultracold trapped ions in the Lam...
2,869,038,156,929
arxiv
\section{INTRODUCTION} Recently the field of autonomous driving has witnessed rapid development. A number of novel behavior planning algorithms have been proposed, many of which are awesome achievements. However, it is almost impossible for a single behavior planner to drive through so many different real and complex s...
2,869,038,156,930
arxiv
\section{\label{sec:intro}Introduction} Numerous geophysical and astrophysical flows present a two-layer configuration, with a turbulent convective layer standing above or below a stably stratified one. Examples include planetary atmospheres, stars interiors, and possibly the outermost layer of the Earth liquid core \c...
2,869,038,156,931
arxiv
\section*{ Introduction} The classical Myers's theorem (\cite{M}) and Cheng's maximum diam theorem (\cite{Ch}) in Riemannian geometry are well known. As for their generalizations, we can refer to \cite{BL}, \cite{Q} and \cite{R}. In Finsler geometry, the Myers type theorem (\cite{Sh1}) states that if $(M,F,d\mu)...
2,869,038,156,932
arxiv
\section*{Acknowledgments}\end{small}} \newcommand\altaffilmark[1]{$^{#1}$} \newcommand\altaffiltext[1]{$^{#1}$} \voffset=-0.6in \title[The Acoustic RDI]{The Resonant Drag Instability (RDI): Acoustic Modes \vspace{-0.5cm}} \vspace{-0.2cm} \author[Hopkins \&\ Squire]{ \parbox[t]{\textwidth}{ Philip F.~Hopkins\altaffi...
2,869,038,156,933
arxiv
\section{Introduction} In this paper, we assume that $\Omega$ is a simply connected bounded domain in $\RR^3$ with smooth boundary and investigate the following system in $\Omega$, \begin{equation}\label{equation1.1} \begin{cases} \rho_t+\dive (\rho u)=0,\,\,\rho\geq 0,\\ (\rho u)_t+\dive(\rho u\otimes u)-\dive[2\...
2,869,038,156,934
arxiv
\section{Introduction} \label{intro} We assume throughout that $\Omega $ is a bounded domain in ${\mathbb{C}}^n$. Let ${\mathbb{D}}$ stand for the unit disk in ${\mathbb{C}}$. The classical Lempert function with pole at $a \in \Omega $ \cite{Lempert} is defined by $$ \ell_a (z):=\inf \big\{ \log|\zeta|:\exists \varphi...
2,869,038,156,935
arxiv
\section{Introduction} Many machine learning models can be formulated as the following empirical risk minimization problem: \begin{align}\label{equation:object} \min_{{\bf w}\in {\mathbb R}^d} F({\bf w}) := \frac{1}{n}\sum_{i=1}^n f({\bf w};\xi_i), \end{align} where ${\bf w}$ denotes the model parameter, $\xi_i$ deno...
2,869,038,156,936
arxiv
\section{Introduction} Video Object Segmentation (VOS) is a fundamental task in computer vision with many potential applications, including augmented reality~\cite{ngan2011video} and self-driving cars~\cite{zhang2016instance}. In this paper, we focus on semi-supervised VOS, which targets on segmenting a particular obj...
2,869,038,156,937
arxiv
\section{Introduction} Low-dimensional systems have been very popular among theorists for a number of decades now \cite{Mattis,Cazalilla}, not without a reason. On one hand, many of these allow for an exact treatment. The Bethe {\it ansatz} solves a number of one-dimensional problems exactly, such as the Lieb-Liniger ...
2,869,038,156,938
arxiv
\section{Introduction and main results} Cluster algebras were introduced by Fomin and Zelevinsky~\cite{FZ} in an effort to describe dual canonical bases in the universal enveloping algebras of Borel subalgebras of simple complex Lie algebras. {A cluster algebra possesses the distinguished set of generators, \emph{clus...
2,869,038,156,939
arxiv
\section{Introduction} \label{sec:intro} Cataclysmic Variables (CVs) are a class of close binary system, with a typical orbital period of a few hours, where a white dwarf primary accretes material from its companion via Roche lobe overflow. The secondary is normally a late-type main sequence star although examples ...
2,869,038,156,940
arxiv
\section*{Introdução} Sabemos que quando as dimensões de uma fonte luminosa são pequenas quando comparadas à distância entre essa fonte e um receptor dessa luz, podemos considerar que a fonte luminosa em questão é pontual. Uma maneira de confirmar os limites de validade dessa aproximação é medindo a queda da intensida...
2,869,038,156,941
arxiv
\section{Introduction} \label{sec:introduction} Large optical surveys demonstrated that galaxies evolve through mergers from star-forming spirals, through a transition region, to massive elliptical galaxies \citep[e.g.][]{bell04,faber07,schawinski14}. Outflows and the energetic feedback from active galactic nuclei (AGN...
2,869,038,156,942
arxiv
\section*{Highlights} \begin{itemize} \item Complexity characteristics of the scientific collaboration networks of several world renown scholars are studied. \item Scientific collaboration community of H. Eugene Stanley self-organizes into a scale-free hierarchy but this is seen exclusively in the weighted network r...
2,869,038,156,943
arxiv
\section*{Architecture} Figure \ref{architecture} shows how this PIC architecture allows us to realize a fully integrated coherent optical neural network (FICONN) through the following stages: (i) the \textit{transmitter} (TX) maps input vectors $\mathbf{x}_{(j)}$ to an optical field vector $\mathbf{a}_{(j)}^{(1)}$ b...
2,869,038,156,944
arxiv
\section{Introduction}\label{sec1 Throughout this paper, by $\rho(M)$ we mean the usual spectral radius of a real square matrix $M\in\mathbb{R}^{d\times d}$, where $2\le d<+\infty$. For an arbitrary finite family of real matrices \bean \bA=\{A_1,\dotsc,A_K\}\subset\mathbb{R}^{d\times d}, \eean its \textit{general...
2,869,038,156,945
arxiv
\section{} \robbert{no shadowing}\\ We want a UE to be served by approximately $L_{u}$ O-RUs. Thus we need to define a circle around the UE which contains the $L_{u}$ closest O-RUs. The O-RUs are distributed as a poisson point process. For this, we can use Campbell's theorem. If we define the Borel set $\mathcal{B}$...
2,869,038,156,946
arxiv
\section{Introduction} This paper studies finite difference schemes for nonlinear fractional order Klein-Gordon type equations. Fractional differential equations have applications in physics, biology and petroleum industry. Interested reader can refer to \cite{Kilbas2006,EBarkai_Phy,Meerschaert2001_Phy,Meerschaert2...
2,869,038,156,947
arxiv
\section{\label{Sec.intro}Introduction} Precise estimation of parameters is desired for realizing upcoming quantum technologies such as quantum information processing. Quantum metrology is a promising method that offers higher precision sensing of target parameters than classical counterparts by exploiting enta...
2,869,038,156,948
arxiv
\section{INTRODUCTION} Solid particles of refractory substances are formed at high temperature in the outer shells and in the cooling outflows of evolved stars \citep[e.g.,][]{Ferrarotti06}, and in supernova ejecta \citep[e.g.,][]{Sugerman06,Matsuura11}. They are eventually injected into the interstellar medium (ISM...
2,869,038,156,949
arxiv
\section{Introduction} \label{sec:Intro} It is possible for new phenomena (NP) beyond the standard model (SM) of particle physics to be observed either directly or indirectly, \ie, through their influence on other physics processes. Indirect searches for NP generally proceed by comparing experimental results with the...
2,869,038,156,950
arxiv
\section{Introduction} Markov-modulated Brownian motion~\cite{asmussen95,kk95} is a popular tool to model continuous-time phenomena in a stochastic context. An MMBM can be described as the pair $\{Y(t), \phi(t)\}_{t \geq 0}$, where $\phi(t)$ is a continuous-time Markov chain on a state space $\mathcal{S} = \{1,2,\dots...
2,869,038,156,951
arxiv
\section{The Model} \label{sect_model} The model \cite{Knochel:2008ks} is based on Higgsless models proposed in \cite{Csaki:2003dt,Cacciapaglia:2004rb}. They are constructed in 5D using a warped background inspired by the RSI scenario \cite{Randall:1999ee}, $ g_{\mu\nu}=\eta_{\mu\nu}e^{-2 R k y}\quad g_{55}=-R^2\quad y...
2,869,038,156,952
arxiv
\section{1. Introduction} It is well known that Maxwell equations can be generalized in a non-linear way, adding to the Lagrangian higher powers of the invariants constructed from the electromagnetic field. Well-known examples are the corrections due to quantum electrodynamics that were proposed by Heisenberg and Euler...
2,869,038,156,953
arxiv
\section{Algorithm} In this section, we describe a decision procedure for a local theory extension, say $({\Theory_0}, \axioms_e, {\Theory_1})$, which can be easily implemented in most SMT solvers with quantifier instantiation support. We describe our procedure $\mathfrak{D}_{{\Theory_1}}$ as a theory module in a typi...
2,869,038,156,954
arxiv
\section{Introduction} This paper was motivated by problems posed by Ie.~Lutsenko and I.V.~Protasov in a preliminary version of the paper \cite{LP2} devoted to relatively thin sets in groups. Following \cite{LP1}, we say that a subset $A$ of a group $G$ is {\em thin} if for any distinct points $x,y\in G$ the interse...
2,869,038,156,955
arxiv
\section{Introduction} The Los Alamos National Laboratory (LANL) designed and built Mars Odyssey Neutron Spectrometer (MONS) has been continuously measuring the leakage flux of neutrons from a Mars polar orbit since February 2002. These data have been used to map the hydrogen content of Mars up through July 2009 \ci...
2,869,038,156,956
arxiv
\section{Introduction} In hierarchical clustering theories of structure formation, like the cold dark matter (CDM) models, small mass clumps of dark matter form first and gather into larger and larger masses subsequently. The structure of these dark matter "halos", is likely to be related to how the halos formed, ...
2,869,038,156,957
arxiv
\chapter{Generalized event structures and probabilities} \begin{center} {Karl Svozil}\\ {\it Institute for Theoretical Physics, Vienna University of Technology}\\ {\it Wiedner Hauptstra\ss e 8-10/136, A-1040 Vienna, Austria}\\ {\it email: {svozil@tuwien.ac.at} homepage: {http://tph.tuwien.ac.at/\char`\~svozil} ...
2,869,038,156,958
arxiv
\section{Preliminaries}\label{appen:pre} We use ${\mathcal{F}}_r$ to denote the filtration generated by \begin{align*} \{\xi_t^i:t\in {\mathcal{I}}_l,i=1,...N\}_{l=1}^{r-1} \cup \{\widetilde{\xi}_l^i:i=1,...N\}_{l=1}^{r-1}. \end{align*} It means that given ${\mathcal{F}}_r$, the global solution $\bar{\vx}_r$ is fix...
2,869,038,156,959
arxiv
\section{Introduction} Supersymmetry (SUSY) \cite{SUSY_refs} is a promising extension of the Standard Model of particle physics (SM) \cite{SM_refs}; the simplest form is denoted the supersymmetric SM (SSM). It should be imminently testable at the LHC \cite{LHC_refs}. Supersymmetric particles, if they exist, typically d...
2,869,038,156,960
arxiv
\section{Introduction} \label{Sec:Introduction} The nature of matter has long been a source of philosophical debate: Around 400BC, Democritus and Leucippus postulated an indivisible unit which they called the atom \citep{Coveney_highfield}. With no evidence for the existence of atoms and the apparent continuous natu...
2,869,038,156,961
arxiv
\section{Introduction} In \cite{pseudo-split}, Loughran-Skorobogatov-Smeets develop, building upon work of Denef \cite{denef}, a necessary and sufficient criterion to say when a morphism of varieties over a number field $k$ is surjective on $k_v$-points for almost all finite places $v$. This property is called \emph{ar...
2,869,038,156,962
arxiv
\section{Introduction}\label{section1} Throughout this text all functions we consider are real-valued. Let $\Omega$ be a Lipschitz bounded domain of $\mathbb{R}^n$ ($n\ge 3$), with boundary $\Gamma$, and set \[ C_+(\overline{\Omega})=\{ \sigma \in C(\overline{\Omega});\; \sigma >0\; \mbox{in}\; \overline{\Omega}\}. ...
2,869,038,156,963
arxiv
\section{Introduction} Structurally or magnetically disordered glassy systems show special characteristics like memory effects or replica symmetry breaking as a result of a complex energy landscape. A large number of local minima or metastable states exist and can trap the system at low temperatures. Therefore, these...
2,869,038,156,964
arxiv
\section{Introduction} The properties of physical, biological and many other systems can be described by differential and recursive equations; the latter are also called discrete dynamical system (see e.g. \cite{De}, \cite{GR}, \cite{Sh}). Also systems of non-linear, higher dimensional recursive equations arise in sol...
2,869,038,156,965
arxiv
\section{Introduction} Homological quantum codes \cite{Martin,PHD} are an important class of stabilizer codes, each of them is constructed by selecting a special basis for each vector space in a short chain complex. The most common types of homological quantum codes are surface codes and color codes. In surface code's ...
2,869,038,156,966
arxiv
\section{Introduction} There is evidence for solar or super-solar metallicities in the circumnuclear environments of quasars out to redshifts $z$$>$4 (e.g., Hamann \& Ferland 1999; Kurk et al. 2007; Jiang et al. 2007; Juarez et al. 2009; Matsuoka et al. 2009). This evidence, mainly from optical lines, is supported ...
2,869,038,156,967
arxiv
\section{Introduction} Event cameras, also known as neuromorphic cameras, have successfully opened their path to the computer vision and robotics society for its low cost and high dynamic sensing range with low latency and low power consumption. It represents the changes of intensity for a pixel location $(x,y)$ as a...
2,869,038,156,968
arxiv
\section{Introduction} Modern optical time-domain surveys, unbiased with respect to host galaxy environment, have discovered superluminous supernovae (SLSNe) with luminosities exceeding those of normal supernovae (SNe) by at least an order of magnitude \citep{Quimby2011,Chomiuk2011,Gal-Yam2012}. This has dramatically...
2,869,038,156,969
arxiv
\section{Introduction} The origin of associated absorption systems (AAS) in the spectra of QSOs with \ensuremath{\beta}~$<$ 0.01\footnote{\ensuremath{\beta}~ is the relative velocity of the absorption systems with respect to the systemic redshift of the QSO in units of velocity of light} (the relative velocity of the A...
2,869,038,156,970
arxiv
\section{Introduction}\label{sec:intro} ESA's {\it Gaia}\ mission \citep{GaiaMission} is an enormous project that is revolutionising Milky Way astronomy. {\it Gaia}\ will provide a wide range of data about the stars of the Milky Way, including photometry and spectroscopy. However it is the astrometry -- and in particu...
2,869,038,156,971
arxiv
\section{Introduction} In \cite{Dvlag} we found differential equations of spectral type satisfied by the generalized Laguerre polynomials $\left\{L_n^{\alpha,M}(x)\right\}_{n=0}^{\infty}$ which are orthogonal on the interval $[0,\infty)$ with respect to the weight function $$\frac{1}{\Gamma(\alpha+1)}x^{\alpha}e^{-x}+M...
2,869,038,156,972
arxiv
\section*{Acknowledgments} \noindent We thank the ICHEP2022 organizers and convenors for the conference and the invitation. The work of J.~Fiaschi has been supported by STFC under the Consolidated Grant ST/T000988/1. S.~Moretti is supported in part through the NExT Institute and acknowledges funding from the STFC Conso...
2,869,038,156,973
arxiv
\section{Introduction} One of the main problems in understanding galaxy formation is that star formation is extremely complex. The gas out of which stars form is a turbulent mix of forces in which gravitational collapse, thermal pressure, magnetic fields, cosmic ray pressure and energy from supernovae all fight for do...
2,869,038,156,974
arxiv
\subsection{Paper length} Papers must be 9~pages in length, {\em excluding} the bibliography. {\bf Papers which are clearly overlength will not be reviewed}. This includes papers where the margins and formatting are deemed to have been significantly altered from those laid down by this style guide. The reason such pa...
2,869,038,156,975
arxiv
\section{Cubic B\'{e}zier Splines\label{sec:bezier}} SVG can produce graceful curves by graphing quadratic and cubic equations. As mentioned before, in jQuery.Feyn we use cubic B\'{e}zier segments to approximate the photon and gluon propagators (for the line type, gluon propagators are drawn as elliptical arc paths su...
2,869,038,156,976
arxiv
\section{Introduction} Machine learning methods \cite{haykin:08,goodfellow:16,bishop:06} have found applications in condensed matter physics detecting phases of matter and transitions between these on both quantum and classical systems (see, for example, Refs.~\cite{ronhovde:11,nussinov:16,carrasquilla:17,chng:17,tana...
2,869,038,156,977
arxiv
\section{Hyperbolic anti-concentration bound}\label{sec:anticon} \subsection{Our result} In this section, we will prove an anti-concentration bound for random vectors with respect to the hyperbolic norm, which generalizes the result for PSD matrices in \cite{ay21}. In particular, an important tool we use is the hyper...
2,869,038,156,978
arxiv
\section{Introduction} The combinatorial definition of a \emph{Magidor cardinal} $\lambda$ is given by $\lambda\rightarrow[\lambda]^{\aleph_0\text{-bd}}_\lambda$. Recall that $[\lambda]^{\aleph_0\text{-bd}}$ is the family of all countable bounded subsets of $\lambda$. It contains subsets of any countable order type. ...
2,869,038,156,979
arxiv
\section{Introduction} \section{Motivation} F. B. Jones \cite{jones} proved in 1942, in a famous paper, the existence of additive discontinuous functions $f:\mathbb{R}\to\mathbb{R}$ whose graph $G(f)=\{(x,f(x)):x\in\mathbb{R}\}$ is connected, and characterized them. These functions are extraordinary since their graph...
2,869,038,156,980
arxiv
\section{Introduction} The search for Higgs bosons is among the prime tasks of the CERN Large Hadron Collider (LHC) \cite{Kunszt:1991qe}. While the standard model (SM) of elementary-particle physics contains one complex Higgs doublet, from which one neutral $CP$-even Higgs boson $H$ emerges in the physical particle sp...
2,869,038,156,981
arxiv
\section{Introduction} In this paper, we consider the following one-dimensional nonlocal boundary value problem, \begin{equation}\label{1} \left\{ \begin{array}{ll} \epsilon v''+(a_2-\frac{b_2 \lambda}{1+v}-c_2v)v=0,&x \in (0,L), \\ v'(0)=v'(L)=0,\\ \int_0^L \frac{a_1-c_1v}{1+v}-\frac{b_1 \lambda}{(1+v)^2} dx=0, \...
2,869,038,156,982
arxiv
\section{Introduction} Dust scattering of starlight by UV bright stars in our own Milky Way is now known to explain the majority of the diffuse far ultraviolet (FUV, $\sim$1300-1800 \AA) background. However, interest in the diffuse FUV background began not with a focus on Galactic dust, but with a search for a cosmol...
2,869,038,156,983
arxiv
\section{\label{sec:Sec1}Introduction} A systematic measurement of energy dependence of the elastic scattering of positive pions from $^{12}C$ presented in Ref.\cite{Alex98} showed oscillations in the excitation function at energies around 35 MeV. The differential cross sections were measured at six scattering angle...
2,869,038,156,984
arxiv
\section{Introduction} Understanding the mechanism of unconventional superconductivity, where the structure lacks an inversion symmetry has been a tough challenge ever since the discovery of the heavy fermion noncentrosymmetric (NCS) superconductor CePt$_{3}$Si \cite{Bauer2004,EBA}. The lack of an inversion center in ...
2,869,038,156,985
arxiv
\section{Introduction} \label{Intro} The paradigm example of a topological complexity invariant for dynamical systems is topological entropy. It measures the exponential growth, in time, of orbits distinguishable at finite precision and can be used to compare the complexity of dynamical systems defined on arbit...
2,869,038,156,986
arxiv
\section{Introduction} \label{s:intro} Recommender systems suffer from the well-known cold-start problem~\cite{schein2002methods} that arises when users have rated no or only few items. The cold-start problem is particularly problematic in neighborhood-based recommendation approaches such as collaborative filtering (...
2,869,038,156,987
arxiv
\section{Introduction} Gradings for cluster algebras have been introduced in various ways by a number of authors and for a number of purposes. The evolution of the notion started with the foundational work of Fomin and Zelevinsky \cite{FZ-CA1}, who consider $\ensuremath{\mathbb{Z}}^{n}$-gradings where $n$ is precisel...
2,869,038,156,988
arxiv
\subsection{\em ...}; the following \renewcommand{\subsection}{\@startsection {subsection}% {2}% {0mm}% {-\baselineskip}% {0.15\baselineskip}% {\normalfont\normalsize}}% \makeatother \setlength{\topmargin}{-2.2cm} \setlength{\oddsidemargin}{-15mm} \setlength{\leftmargin}{-1in} \setlength{\textheight}{260mm} \setlen...
2,869,038,156,989
arxiv
\section{Introduction} In this article we study the regularization of the minimization problem \begin{equation}\label{OCPl}\tag{$\mathbb P_0$} \min_{u\in\Uad} J_0(u)\quad\text{with}\quad J_0(u):= \frac{1}{2} \norm{Tu-z}^2_{H} \end{equation} for $T:U \to H$ a given linear and continuous operator be...
2,869,038,156,990
arxiv
\section{Introduction}\setcounter{equation}{0}\quad Kinks are examples of topological solitons (for a review see \cite{MS}) in one space dimension, which interpolate between distinct vacua. A kink can be trivially embedded into three-dimensional Euclidean space as a solution which is independent of all but one spatial ...
2,869,038,156,991
arxiv
\section{Staying in the Lorentz sector} In the context of the attempts to provide a quantum theory of gravity or to describe spacetime quantum-mechanically, some works \cite{KotE, KotF, StaA} have lately proved it quite useful to introduce a peculiar sort of effective or quantum metric $q_{ab}$, also called qmetric, ...
2,869,038,156,992
arxiv
\section{Price competition and breaking the ``Bertrand curse''} \label{s:bertrand-single} The results of Appendix~\ref{s:cournot} were for the Cournot notion of competition by offered capacity. Each SP decides to serve demand $q_i$ and then the price is determined by the total capacity $q_1+q_2$. The main alternative n...
2,869,038,156,993
arxiv
\section{Future Work} We are interested in making the circuit design system more intelligent by incorporating a circuit simulator (e.g., SPICE), a physics engine (e.g., Open Dynamics Engine) to simulate printed characters' dynamics, a schematic image recognition system~\cite{Arvo:2000:FSC:354401.354413}, or an intera...
2,869,038,156,994
arxiv
\section*{Methods} \textbf{Material growth.} Multiple Bi$_2$Se$_3$/EuSe\ heterostructures are grown using molecular beam epitaxy (MBE), details of the growth, structural and magnetic characterization of EuSe films grown on different substrates can be found in Ref.~\onlinecite{Wang2022a}. For this study we use EuSe(001...
2,869,038,156,995
arxiv
\section{Introduction} The region-based object detectors~\cite{rcnn,fastrcnn,fasterrcnn,fpn,cascade,ecr} popularized by R-CNN framework~\cite{rcnn} are conceptually intuitive and flexible, and have achieved top accuracies on challenging benchmarks like MS-COCO~\cite{coco}. Region-based detectors first generate a spars...
2,869,038,156,996
arxiv
\section{Introduction} Chiral magnets have attracted a great deal of attention for a long time \cite{dzyaloshinskii1964,bak1980theory,muhlbauer2009skyrmion}. The absence of inversion symmetry in the atomic lattice gives rise to twists of magnetization $\mathbf M(\mathbf r)$ in magnetically ordered states, which range ...
2,869,038,156,997
arxiv
\section*{References}} \newcommand{\po}[1]{% \textcolor{blue}{\sf\underline{PO:}\ #1} } \newcommand{\ja}[1]{% \textcolor{red}{\sf\underline{JA:}\ #1} } \usepackage{lineno} \begin{document} \nolinenumbers \title{SMIXS: Novel efficient algorithm for non-parametric mixture regression-based clustering} \author{Peter Ml...
2,869,038,156,998
arxiv
\section{Introduction} \label{Introduction} The interaction between atoms and surfaces is of fundamental importance in the fields of physics, chemistry and biology. For example, atom-surface interactions play an important role in atomic force microscopy \cite{Binnig} and they also affect the dynamical properties of an ...
2,869,038,156,999
arxiv
\section{Home-grown Efficiency Maps \label{EMcreation}} While most efficiency maps included in the {SModelS\,v1.1}\ database were directly provided by the experimental collaborations as auxiliary material for their publications, we also produced a number of them ourselves in order to improve the coverage of simplif...
2,869,038,157,000
arxiv
\section*{References}
2,869,038,157,001
arxiv
\section{Introduction} Ever since the proposition, in 1988, by Tsallis \cite{tsallis0}, \cite {tsallis1} of a nonextensive generalization of the canonical formalism of statistical mechanics a spirited discussion \cite{cho1}, \cite{latora1} has grown on the foundations of this branch of physics. But, only until recentl...
2,869,038,157,002
arxiv
\section{Introduction} A large body of observational evidence from the scale of dwarf galaxies to cosmological scales indicates that 27\% of the mass-energy content of the Universe is in the form of dark matter (DM)~\cite{Ade:2015xua,Bertone:2010zza}. Galaxies like our own are believed to be embedded in a DM halo whi...
2,869,038,157,003
arxiv
\section*{Introduction} In \cite{Sim1} and \cite{Sim2}, Simpson defined the coarse Betti, de Rham and Dolbeault moduli spaces of a smooth projective complex variety. These are all algebraic spaces, with a complex analytic isomorphism between the Betti and de Rham moduli spaces. The non-abelian Hodge Theorem of \ci...
2,869,038,157,004
arxiv
\section{Introduction} Current cellular networks are expected to evolve towards heterogeneous networks (HetNets) to cope with the explosive demand for wireless data \cite{HetNet1-Qualcomm11,HetNet2-Ghosh12}. This requires service providers (SPs) to deploy small-cells in addition to traditional macro-cells. While typic...
2,869,038,157,005
arxiv
\section{Introduction} \label{S0} In the coevolving voter model, an actor placed at a node of a social network either copies the state of his/her neighbor, or rewires the link as to connect another node in the same state as him/herself \cite{vzqz}. In the related Monte Carlo scheme, this decision is taken by randomly s...
2,869,038,157,006
arxiv
\section{Introduction} In multi-agent emergent communication research, one of the long-term goals is to develop machines that can successfully communicate between themselves but also with humans. Visual communication in the form of sketching and drawing, which has long preceded written language communication, can direc...
2,869,038,157,007
arxiv
\section{Introduction} \label{sec:intro} Rogue waves threaten safety and survivability of marine structures. The mechanisms leading to the formation of such extreme waves have been investigated and probabilistic descriptions derived to provide improved design criteria (e.g. \cite{perlin2013breaking,bitner2014occurrenc...
2,869,038,157,008
arxiv
\section{Introduction} The most valuable characteristics of quantum systems are quantum correlations such as entanglement, which represents a useful resource for applications unattainable in the framework of classical theory, such as quantum teleportation, quantum cryptography and dense coding \cite{hor, brus}. In the...
2,869,038,157,009
arxiv
\section{} {\bf Abstract.} We define the twisted de Rham cohomology and show how to use it to define the notion of an integral of the form $\int g(x) e^{f(x)}dx$ over an arbitrary ring. We discuss also a definition of a family of integrals and some properties of the homological definition of integral. We show how to...
2,869,038,157,010
arxiv
\section{Introduction} \label{sec:introduction} \vspace{-6pt} Recent years have witnessed exciting achievements in the development of highly capable deep neural networks (DNNs), to the extent that new state-of-the-art (SOTA) results are being published frequently. However, achieving this level of performance requires ...
2,869,038,157,011
arxiv
\section{Introducción} Sir Isaac Newton (1642-1727) cuando concibió el principio de inercia imaginó la existencia de un objeto masivo que mantenía su estado en movimiento rectilíneo uniforme. De hecho, Newton suponía que los objetos físicos pueden existir por sí mismos, de manera que podemos abstraer su existencia d...
2,869,038,157,012
arxiv
\section{Introduction} Although the MSSM is the leading candidate for new physics beyond the Standard Model and sensible explains electroweak symmetry breaking by stabilizing the energy scale, it still leaves with no answer the open problems of the SM, among them the flavor problem \cite{FN}\cite{Diaz-Cruz:2001gf}. Fur...
2,869,038,157,013
arxiv
\section{Introduction} One system that has long been a paradigm of the quantum optics community is a single-atom coupled to a single mode of the electromagnetic field, the Jaynes-Cummings model\cite{JC}. In practice the creation of a preferred field mode is accomplished by the use of an optical resonator. This resona...
2,869,038,157,014
arxiv
\section{Introduction} \label{sec:intro} In gravitational and gauge theories, asymptotic symmetries (AS) are a global remnant of large diffeomorphisms and gauge transformations which act non-trivially on physical data at spacetime infinity. The classic example of infinite-dimensional AS, and in many ways the best unde...
2,869,038,157,015
arxiv
\section{Introduction} For non interacting systems, the appearance of non dissipative Hall-like currents is due to the existence of topological structures present in the electronic spectrum\cite{TKN82,KM05}. In the case of the quantum Hall effect (QHE) the physical ingredient allowing for such structure is the presenc...
2,869,038,157,016
arxiv
\section{Introduction} \label{sec:intro} It has been more than a century since astrophysical jets were first observed \citep{Curtis1918PLicO..13....9C}. Astrophysical jets are collimated relativistic magnetized plasma outflows launched from compact accreting objects. They are found in stellar-mass black holes (BH; \ci...
2,869,038,157,017
arxiv
\section{Introduction} Elliptic fibrations are a versatile tool for studying algebraic surfaces. One of their key advantages is that one can often compute the N\'eron-Severi\ lattice, and in particular the Picard number, in a systematic way. This has been carried out with great success in the study of K3 surfaces. The...
2,869,038,157,018
arxiv
\section{Approach} \label{sec:approach} We are interested in using echoes for predicting depth map of a scene. There is a spatio-temporal relationship between the received echoes and the depth of the scene, i.e\onedot the echoes received at different instant of time directly relate to the different depths in the scene....
2,869,038,157,019
arxiv
\section{\label{sec:intro} Introduction} Bennett~{\em et~al.}~\cite{Bennett93} showed that an unknown quantum state (a qubit) could be {\em teleported} via two classical bits with the use of a maximally entangled Bell state shared between the sender and receiver. The significance of teleportation as a tool for quantu...
2,869,038,157,020
arxiv
\section{Introduction} In this paper, we consider the feedback interconnection shown in Figure \ref{fig:StableNegativefeedback}, where a linear system $G$ is in feedback with a sector-bounded nonlinearity $\Phi$, and we are interested in conditions that guarantee closed-loop stability. Different forms of this problem...
2,869,038,157,021
arxiv
\section{Introduction} In this article we apply Deift-Zhou's non-linear steepest descent method to the 5th order MKdV equation: \begin{equation}\label{eq:5th mkdv} q_t=30q^4q_x-10q^2q_{xxx}-40qq_{xx}q_x-10q_x^3+q_{xxxxx} \end{equation} which belongs to the AKNS hierarchy~\cite{AKNS1974}. As is well known in the in...
2,869,038,157,022
arxiv
\section{Introduction} \begin{quote} \emph{How do geometric constraints restrict the combinatorics of polytopes?} \end{quote} One instance of this question asks for the combinatorial types of $d$-polytopes that are \emph{inscribable}, that is, that have realizations with all vertices on a sphere. This question was r...
2,869,038,157,023
arxiv
\section{Introduction} \label{sec-intro} \subsection{Overview} We study a family of probability measures on spanning-tree-decorated rooted planar maps, which we define in Section~\ref{sec-burger}, using a generalization of the Sheffield hamburger-cheeseburger model~\cite{shef-burger}. This family includes as special c...
2,869,038,157,024
arxiv
\section{Introduction} All realistic quantum systems interact with an environment and a proper description of their dynamics calls for the toolbox of open quantum systems theory \cite{bp, weiss}. In this framework the simplest type of noise is described by a Markovian master equation in the Lindblad form, corresponding...
2,869,038,157,025
arxiv
\section{Frequency-Dependent Cable Parameters} \label{app:cable-parameters} \subsection{Impact on the Branch Admittance of the Line Model} \begin{figure}[ht] \centering \includegraphics[width=0.8\linewidth]{Figures/FreqDepParams_LineAdmittance.pdf} \caption{% Comparison of line branch admittances...
2,869,038,157,026
arxiv
\section{Proof of Lemma~\ref{lemma:clique_sunflower}} Let $\mb U_{n,q} \subseteq [n]$ be a $q$-random subset of $[n]$ (independent of $\mb G(n,p)$). Let $c_1 \defeq \ln(1/\eps)$ and for $\ell \ge 2$, let $c_\ell \defeq 2\ln(1/\eps)\sum_{j=1}^{\ell-1}\binom{\ell}{j}c_j$. \begin{lemma} $c_\ell \le \ell!(2\log(1/\ep...
2,869,038,157,027
arxiv
\section{Probability distributions at longer times} As discussed in the main text, all states in the quasienergy spectrum contribute to the probability distribution of the walker. Since most of the states are non-critical, the probability distribution for static binary disorder thus follows $|\psi(q)|^2\sim e^{-|q|/\...