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2,877,628,090,154
arxiv
\section*{Main text} \section{Introduction} Photonics has deep utility in a broad range of scientific and technological domains. Integrated photonic systems enable novel light sources~\cite{Watts2013, Lipson2018}, classical communication platforms \cite{SiliconPhotonics2016, Bergman2018}, and quantum optical proces...
2,877,628,090,155
arxiv
\section{Introduction} \label{sec:intro} We consider the large time behavior for the nonlinear Schr\"odinger equation \begin{equation} \label{eq:nls} i{\partial}_t u +\frac{1}{2}\Delta u = V(x)u + |u|^{2{\sigma}}u, \end{equation} where $u:(t,x,y)\in \R\times \R\times \R^{d-1}\to \C $, with $d\geqslant 2$, $\Delta$...
2,877,628,090,156
arxiv
\section{Introduction} Observations with the Atacama Large Millimeter/submillimeter Array (ALMA) have revealed that many circumstellar disks contain intricate radial substructures \citep{2015ApJ...808L...3A,2016ApJ...820L..40A,2016ApJ...818L..16Z,2016ApJ...819L...7N,2016Sci...353.1519P,2016PhRvL.117y1101I,2016Natur.535...
2,877,628,090,157
arxiv
\section{Introduction} At high velocities space and time are merged together into Minkowski spacetime, and even though both distances and durations depend on the observers frame, then the 4-vector $(ct, \vec x)$ has invariant length under Lorentz transformations. Similarly the energy-momentum 4-vector, $(\varepsilo...
2,877,628,090,158
arxiv
\section{Introduction} The binary $\beta$ Lyr is a nearly edge-on, semi-detached interacting system that has undergone mass reversal and remains in a phase of large-scale mass transfer. The primary, mass-losing star (the ``Loser'') is a B6-B8 IIp star. The mass-gaining star (the ``Gainer'') is embedded in an opticall...
2,877,628,090,159
arxiv
\section{Introduction} One of the outstanding unsolved problems in molecular biology is protein folding\cite{bra} \cite{dag}. The principle through which the amino acid sequence determines the native structure, as wells as the dynamics of the process, remain open questions. Generally speaking, there have been two type...
2,877,628,090,160
arxiv
\section{Introduction} The versatile technique of positron annihilation makes use of the fact that positrons ($e^+$) are trapped at free volume-type defects which allows their detection by a specific variation of the positron-electron annihilation characteristics \cite{Hautojaervi79, Brossmann12, Krause-Rehberg99, Pu...
2,877,628,090,161
arxiv
\section{Introduction} The explosion of a supernova triggered by the collapse of a massive star produces several solar masses of stellar ejecta expanding at $\sim$10$^4$~km~s$^{-1}$ into the surrounding circumstellar (CSM) and interstellar (ISM) material. The resulting forward shock compresses and heats the gas to h...
2,877,628,090,162
arxiv
\section*{Abstract} In this paper we present a numerical study of a mathematical model of spiking neurons introduced by Ferrari et al. in \cite{ferrari2018phase}. In this model we have a countable number of neurons linked together in a network, each of them having a membrane potential taking value in the integers, and...
2,877,628,090,163
arxiv
\section{Introduction} Exclusive reactions induced at high momentum transfer in few body systems provide us with an original way to study the production and propagation of hadrons in cold nuclear matter. In very well defined parts of the phase space, the reaction amplitude develops a logarithmic singularity which enhan...
2,877,628,090,164
arxiv
\section{Introduction} Unification of forces has been the most challenging task the science community has ever faced. So far that quest has successfully brought the electromagnetic, strong and weak forces under one roof. However the unification scheme hits a wall when one tries to incorporate in it the only other fund...
2,877,628,090,165
arxiv
\section*{Acknowledgment} All authors would like to thank Ms. Jing Lin, Mr. Wu Shi, and Zuwen Zhu for the design and implementation of the Pegasus-Mini. \bibliographystyle{IEEEtran} \section{Introduction} \IEEEPARstart{Q}{uadruped} locomotion has been a vibrant research field within recent years. Although blindly l...
2,877,628,090,166
arxiv
\section{ALICE experiment at CERN} \label{intro} A Large Ion Collider Experiment (ALICE)~\cite{Carminati:2004fp,Alessandro:2006yt,ALICEjinst} is one of the four major experiments currently operating on the beams of the Large Hadron Collider (LHC) at the European Organization for Nuclear Research (CERN). The aim of...
2,877,628,090,167
arxiv
\section{Introduction} For a long time dissipation has mainly been considered as a nuisance which destroys the coherence of a quantum state. However, in the last decade dissipation has been turned into a tool and the dissipative attractor dynamics has been used to stabilize complex quantum states \cite{MuellerZoller201...
2,877,628,090,168
arxiv
\section{Introduction and informal summary of results} Recently, there has been much interest in the performance of asymptotically infinite-width neural nets which afford efficient training, as optimization entails perturbing the weights minimally away from a Gaussian initialization --- the aptly named ``lazy trainin...
2,877,628,090,169
arxiv
\section{Introduction} The solar corona can be described as a low $\beta$ plasma at low densities and high temperatures. With the presence of coronal magnetic fields, this leads to plasma, where the magnetic pressure is higher than the gas pressure. Therefore, the plasma motions are dominated by the magnetic field, a...
2,877,628,090,170
arxiv
\section{Introduction} Tunneling is a fundamental effect in wave mechanics, which allows for entering classically inaccessible regions. While textbooks focus on tunneling through potential barriers, tunneling processes in nature often take place in the absence of such energetic barriers. Instead one observes dynamical...
2,877,628,090,171
arxiv
\section{Supplemental Materials} \pagenumbering{arabic} \renewcommand{\thepage}{S-\arabic{page}} \setcounter{equation}{0} \setcounter{figure}{0} \setcounter{table}{0} \setcounter{page}{1} \makeatletter \renewcommand{\theequation}{S\arabic{equation}} \renewcommand{\thefigure}{S\arabic{figure}} \section{I. Bogoliubov...
2,877,628,090,172
arxiv
\section*{Supplementary Material} \renewcommand\thefigure{S\arabic{figure}} \setcounter{figure}{0} \section{Quantum computation details} \subsection{Encoding} To go from fermionic variables to spin variables to write the Hamiltonian, one must provide an encoding scheme. Here we use the straightforward Jordan-Wigner ...
2,877,628,090,173
arxiv
2,877,628,090,174
arxiv
\section{Introduction} The first detailed calculations of the final, neutrino-cooled burning stages prior to core collapse of massive stars were done by \cite{rsz67}, with simplified energy generation rates, and by \cite{wda68} using a small (24 species) network. Because of the extreme demands upon computer resources ...
2,877,628,090,175
arxiv
\section{Introduction} \noindent Let \(X\) be a compact connected CW complex, let \(\widetilde{X}\) be the universal covering and let \(\overline{X}\) be a finite sheeted Galois covering. In this paper we will define the \emph{alpha numbers} \(\alpha_p(\overline{X}) \in \R\) in terms of the singular value decompositi...
2,877,628,090,176
arxiv
\section{Introduction} \label{sec:intro} One of the primary goals of cosmology is to accurately measure the expansion history and the growth of structure in the Universe. Many of the cosmological probes used for this purpose can be classified as standard candles or standard rulers. The most obvious examples are ty...
2,877,628,090,177
arxiv
\section{Introduction} \label{sec:introduction} Most of the light mesons listed in the Particle Data Group (PDG) \cite{pdg} can be understood as quark-antiquark ($\bar{q}q$) states \cite{isgur}, see also e.g. the review in\ Ref. \cite{klemptrev}. Quark-antiquark mesons, also denoted as conventional mesons, are groupe...
2,877,628,090,178
arxiv
\section{Introduction} Collisionless shocks play important roles in the generation of high-energy particles in various situations, which is one of the most important outstanding issues in plasma physics.\cite{Balogh_2013,Burgess_2015} Recently, laboratory experiments using high-power lasers are conducted on the ge...
2,877,628,090,179
arxiv
\section{Introduction} An obstacle course might react to what you do: for example, if you step on a certain button, then spikes might appear. If you spend enough time in such an obstacle course, you should eventually figure out such patterns. But imagine an ``oracular'' obstacle course which reacts to what you would h...
2,877,628,090,180
arxiv
\section{Introduction} The evaluation of treatment effects on a single (or just a few) treated unit(s) based on counterfactuals (i.e., the unobservable outcome had there been no intervention) constructed from artificial controls has become a popular practice in applied statistics since the proposal of the synthetic c...
2,877,628,090,181
arxiv
\section{Formulation of results} According to \cite{GrLaPo}, given a closed smooth $n$-manifold $M^n$ and a Morse function $\varphi:M^n\to\mathbb R$ is called a {\it Morse-Lyapunov function} for Morse-Smale diffeomorphism $f:M^n\to M^n$ if: 1) $\varphi(f(x))<\varphi(x)$ if $x\notin Per(f)$ and $\varphi(f(x))=\varp...
2,877,628,090,182
arxiv
\section{Introduction} Vector is the general format of input data of algorithm, and each component of vector is stored in classical memory sequentially in general. Thus there are two questions for general quantum algorithm, the first question is that which state is suitable to represent all information of vector for f...
2,877,628,090,183
arxiv
\section{Introduction} General relativistic spaces filled with black holes have recently been under scrutiny as exact cosmological models with a discrete mass distribution which is, in some sense, uniform on large scales. The construction of these spaces in numerical relativity has enabled the investigation of several...
2,877,628,090,184
arxiv
\section{Introduction}\symbolfootnote[0]{\hspace*{-0.5em}$^\dag$% To appear in \textsc{The Astrophysical Journal} % (v652 n2 December 1, 2006 issue). Also available as ApJ preprint doi: % \texttt{10.1086/508451...
2,877,628,090,185
arxiv
\section{Introduction} \noindent Vision and Language tasks, such as Vision-and-Language Navigation (VLN)~\cite{mattersim}, Visual Question Answering (VQA)~\cite{VQA,cao2018visual} and Referring Expression Comprehension (REF)~\cite{KazemzadehOrdonezMattenBergEMNLP14,yang2020graph,yang2020relationship} etc., have been ex...
2,877,628,090,186
arxiv
\section{Introduction} Recent developments on integrability of ${\cal N}=4$ SYM opened the way to impressive results in the context of scattering amplitudes. In particular, using a new powerful duality symmetry in \textit{momentum space}, the complete calculation of all tree level amplitudes as well as up to fourth or...
2,877,628,090,187
arxiv
\section{Introduction} The two-dimensional ($n+1$)-periodic Toda lattice with opposite sign is the system \begin{eqnarray} \left\{ \begin{array}{l}2 (w_i)_{z\bar z} =-e^{2 (w_{i+1}-w_i)}+e^{2 (w_i-w_{i-1})}\\ w_{i+n+1}=w_i \end{array} \right. , \label{Toda-N} \end{eqnarray} where $\bar z$ denotes the complex conjugat...
2,877,628,090,188
arxiv
\section{Introduction} \label{sec:intro} A population of objects in co-orbital motion, as one of long-term stable and thus presumably primordial (i.e., $>4$~Gyr lifetimes) populations or as temporary captures, is known to exist with every planet in the Solar System with the sole exception of Mercury. Long-range planet...
2,877,628,090,189
arxiv
\section{Introduction} We are used to the topological properties of fermion band theory in electronic systems, which have been studied extensively over the past decade \cite{sem1, sem, yu, yu1, yu2, yu3, yu4, yu5, yu6, yu7, yu8, fdm}. Recently, the study of topological band theory has been extended to bosonic systems...
2,877,628,090,190
arxiv
\section{Introduction} Two-dimensional conformal field theories (CFTs) admit Virasoro symmetry, which allows to study these theories to a large extent due to this infinite dimensional symmetry. The Virasoro algebra is generated by a spin-2 current, and extended algebras can be constructed by adding higher spin curre...
2,877,628,090,191
arxiv
\section{Introduction} Increasing the data rate in wireless networks usually comes through a larger bandwidth, or a more efficient use of the available bandwidth. In cellular applications, the performance is interference-limited in most cases, meaning that increasing the transmission power does not substantially improv...
2,877,628,090,192
arxiv
\section{Introduction} One of the central object of probability is Brownian motion (Bm), which is the microscopic picture emerging from a particle moving in $n$-dimensional space and of course the nature of Brownian paths is of special interest. In this paper, we study the features of Brownian motion indexed by an $\m...
2,877,628,090,193
arxiv
\section{Introduction} Complex networks are graphs representative of the intricate connections between elements in many natural and artificial systems \cite{strogatz,havlin,barabasi,physrep}, whose description in terms of statistical properties have been largely developed looking for a universal classification of them....
2,877,628,090,194
arxiv
\section{Introduction}\label{sec:intro} Multi-robot collision avoidance in cluttered environments is a fundamental problem when deploying a team of autonomous robots for applications such as coverage \citep{Breitenmoser2016}, target tracking \citep{zhou2018resilient}, formation flying \citep{Zhu2019ICRA} and multi-vie...
2,877,628,090,195
arxiv
\section{Introduction} Quantum mechanics knows many examples of discrete states coupled to a continuum. Much work has been devoted to these problems in the past. In this paper we are going to review these works briefly, but reconsider them as methods to prepare time dependent states. All tunnelling problems are of thi...
2,877,628,090,196
arxiv
\section{INTRODUCTION} Neutrino oscillograms of the Earth are contours of constant oscillation or survival probabilities in the plane of neutrino energy and nadir or zenith angle of neutrino trajectory. They encode information on both the neutrino parameters and the Earth density profile and proved to be a very usef...
2,877,628,090,197
arxiv
\section{Introduction} \label{sec:intro} Understanding the principles guiding neuronal organization has been a major goal in neuroscience. The ability to reconstruct individual neuronal arbors is necessary, but not sufficient to achieve this goal: understanding how neurons of the same and different types co-locate the...
2,877,628,090,198
arxiv
\section{Introduction} Recent years have seen a great improvement in text-independent speaker verification. The speaker verification system extracts speaker characteristic information from a given utterance and then verify the speaker ID. In the state-of-the-art methods of speaker verification, i-vector \cite{i-vecto...
2,877,628,090,199
arxiv
\section{Introduction} \indent The link between Coronal Mass Ejection, the perturbations of the corona they induce and the production of Solar Energetic Particles (SEPs) is a topic of active research. During the launch of an energetic CME, moving fronts, or waves, are frequently observed in Extreme UltraViolet imag...
2,877,628,090,200
arxiv
\section{Introduction} Multivariate regression analysis is an important tool for empirical research in strategic management and economics. These methods account for confounding influence factors between a treatment and an outcome by including a set of control variables in order to obtain unbiased causal effect estima...
2,877,628,090,201
arxiv
\section{Introduction} \label{sec:introduction} \textit{Multi-agent reinforcement learning} (MARL) is a machine learning paradigm which enables multiple agents to concurrently learn behaviour from interactions with the environment as well as interactions with each other. MARL methods have become increasingly capable of...
2,877,628,090,202
arxiv
\section{Introduction} Investigating molecular dynamics of glass-forming liquids is one of the most intriguing topics. It has been experimentally established that the structural relaxation time ($\tau_\alpha$) reflecting the time scale for liquid structure reorganization systematically deviates from the simple Arrheniu...
2,877,628,090,203
arxiv
\section{Introduction} \subsection{Background} In many scientific problems, the parameter of interest is a component-wise monotone function. In practice, an estimator of this function may have several desirable statistical properties, yet fail to be monotone. This often occurs when the estimator is obtained through t...
2,877,628,090,204
arxiv
\section{Introduction} What happens to orbits subject to linear frictional drag? In typical physical settings, such as Rydberg atoms or stellar binaries, the effective frictional forces are nonlinear and, typically, lead to the circularization of the orbit. Orbital evolution under linear friction is special in th...
2,877,628,090,205
arxiv
\section{Introduction}\label{sec:intro} In neutron star low-mass X-ray binaries (NS-LMXBs), a neutron star accretes matter from a low-mass companion star. The vast majority of NS-LMXBs contains weakly magnetized neutron stars, and these systems are traditionally divided into two main subclasses based on their correlat...
2,877,628,090,206
arxiv
\section{Introduction} Supersymmetric Grand Unified Theories (SGUT)~\cite{GeorgiGlashow74,Raby,Mohapatra,Raby2} have achieved some degree of success: unification of gauge couplings, charge quantization, prediction of the weak mixing angle, the mass-scale of neutrinos. Detection of weak scale superpartners or proton dec...
2,877,628,090,207
arxiv
\section{Introduction} Let $G$ be a compact connected Lie group and let $H\subset G$ be the centralizer of a one--parameter subgroup in $G$. The homogeneous space $G/H$ is known as a \textsl{flag variety}. We fix a maximal torus $T\subseteq H $ and write $W$ (resp. $W^{^{\prime }}$) for the Weyl group of $G$ (resp. $H...
2,877,628,090,208
arxiv
\section{Introduction}\label{sec1} A two-dimensional normal density or Student $t$-density is constant on boundaries of certain ellipses. Outside such an ellipse the density is lower than inside. It is straightforward to find such an outer region and its contour (line), for a given small probability. We can consi...
2,877,628,090,209
arxiv
\section{Introduction} In non-critical strings of the type discussed in~\cite{aben}, one has a conformal field theory formulated in general in a non-critical number of spatial dimensions with a central charge deficit $Q$. This might either assume discrete values, as in the minimal models discussed in~\cite{aben}, or p...
2,877,628,090,210
arxiv
\section*{Introduction} Let $L$ be a finite lattice and $K[L]$ the polynomial ring over a field $K$ whose variables are the elements of $L.$ Let $I_L$ be the {\em join-meet ideal} of $L,$ that is, the ideal of $K[L]$ which is generated by all the binomials of the form $f=ab-(a\wedge b)(a\vee b)$, where $a,b\in L$ are...
2,877,628,090,211
arxiv
\section{Introduction} Reinforcement learning (RL) is a popular framework for the control of autonomous agents, due to its ability to autonomously derive control policies without assuming that the dynamics of the environment are known \citep{Sutton1998,bertsekas1996neuro}. Despite the many remarkable successes in diff...
2,877,628,090,212
arxiv
\section{Prelude} Legal arguments extensively involve text and speech. For any statement to be generated in the legal context, we require a comprehensive knowledge of prior information regarding the case, the arguments that have previously been made as well as external knowledge and facts. This makes the industry heavi...
2,877,628,090,213
arxiv
\section{} In recent papers \cite{Hill1,Hill2, Hill3} we have computed the effect of a coherent oscillating axion dark matter field, via the electromagnetic anomaly, upon the magnetic moment of an electron, or arbitrary magnetic multi-pole source. Figure (1) has been computed in several ways and the results ar...
2,877,628,090,214
arxiv
\section{Introduction} \label{sec:intro} The Galilean satellites of Jupiter -- namely, Io, Europa, Ganymede, and Callisto -- were discovered by Galileo Galilei in the 17th century. They were the first objects to be observed orbiting another body than the Earth and Sun. Historically, their importance lies in the fact t...
2,877,628,090,215
arxiv
\section{Introduction} The analysis and interpretation of ongoing and future neutrino oscillation experiments strongly rely on the nuclear modeling for describing the interaction of neutrinos and anti-neutrinos with the detector. Moreover, neutrino-nucleus scattering has recently become a matter of debate in co...
2,877,628,090,216
arxiv
\section*{Introduction} Seals and gaskets are crucial components in many hydraulic systems such as water taps, pipes, pumps, or valves\cite{Flitney07}. Their main function is to prevent undesired or uncontrolled leakage of gases or fluids from one region to another. Despite their importance, attempts to estima...
2,877,628,090,217
arxiv
\section{Compositionality}\label{sec:background} \subsection{Compositional Generalization} \ld{a rough first pass; will condense and make more precise once the story is more coherent! see also \href{https://docs.google.com/document/d/1uuIPmM_bShv7eti9J4V_Qlo64a6y0wryHR5QLbdBfmc/edit}{this}} Basically, comp...
2,877,628,090,218
arxiv
\section{Introduction} \label{sec:intro} \noindent Let $u$ be a nonnegative function on ${\mathbb R}^n$ that vanishes at infinity. Many geometric inequalities relate $u$ with its symmetric decreasing rearrangement, $u^\star$. The {\em P\'olya-Szeg\H{o} inequality} states that \begin{equation}\label{PS} \| \nabla u^\...
2,877,628,090,219
arxiv
\section{Introduction} Several years ago, I wrote some lectures\cite{Donoghue:1995cz} on the application of effective field theory (EFT) to general relativity. Because those lectures were given at an advanced school on effective field theory, most of the students were well versed about the effective field theory side,...
2,877,628,090,220
arxiv
\section{Introduction} Applying a surveillance scheme to monitor the stability of dispersion (homogeneity, scale or other related notions) is a common task used in industry to maintain, for example, the repeatability level of gauges, the uniformity of certain entities over time or space, the risk level of some financ...
2,877,628,090,221
arxiv
\section{Introduction} This paper investigates the problem of multi-terminal channel coding for relayless networks with the general message access structure shown in Fig.~\ref{fig:channel}. Multi-terminal channels include broadcast channels~\cite{C72}\cite{GP80}\cite{IO05}\cite{LKP11}\cite{M79}\cite{ITW13}, multiple-a...
2,877,628,090,222
arxiv
\section{Introduction} \subsection{Settings} \label{sec-settings} Let $\Omega$ be a bounded and connected open subset of $\mathbb{R}^d$, $d \geq 2$, with Lipschitz boundary $\partial \Omega$. Let $a:=(a_{i,j})_{1 \leq i,j \leq d} \in L^\infty(\Omega;\mathbb{R}^{d^2})\cap H^1(\Omega;\mathbb{R}^{d^2})$ be symmetric,...
2,877,628,090,223
arxiv
\section{Introduction} The precise determination of the CKM matrix element $V_{ub}$ remains an important goal in flavour physics, instrumental in performing stringent tests of the CKM matrix unitarity, see \cite{Bevan:2014iga} for a review. $|V_{ub}|$ can be extracted from $b\to u \ell\nu$ decays, and in in particul...
2,877,628,090,224
arxiv
\section{Introduction} \label{s1} \numberwithin{equation}{section} Virtually every area of quantum physics is, at least partially, concerned with coherent states. This is due to their relevance in relation to the classical limit of quantum theories. Indeed, a minimum requirement for a family of coherent states is that ...
2,877,628,090,225
arxiv
\section{Introduction} \label{sec:intro} The era of atmospheric characterization of rocky exoplanets is imminent with the advent of new telescopes, such as the James Webb Space Telescope (JWST, successfully launched in December 2021), the European Extremely Large Telescope (E-ELT), the Large Ultraviolet/Optical/Infrare...
2,877,628,090,226
arxiv
\section{Introduction} A major part of non-thermal emission from high energy astrophysical objects is almost always characterized by the radiation from relativistic electrons moving in magnetic fields. Usually it is interpreted in terms of the synchrotron radiation. However, synchrotron approximation is not always vali...
2,877,628,090,227
arxiv
\chapter[The cavity method]{The cavity method: from exact solutions to algorithms} \centerline{\large Alfredo Braunstein$^1$, Guilhem Semerjian$^2$} \bigskip \noindent $^1$ Politecnico di Torino, Corso Duca degli Abruzzi, 24, I-10129, Torino, Italy, Italian Institute for Genomic Medicine, IRCCS Candiolo, SP-142, I-...
2,877,628,090,228
arxiv
\section{Introduction} Multi-Agent Reinforcement Learning (MARL) is being increasingly used in various domains such as robotics, computer networks, traffic, resource management, robotic teams and distributed control in general \cite{Busoniu2008}. Many of these situations pose complex challenges to multi-agent systems d...
2,877,628,090,229
arxiv
\section{Introduction} While there is a plethora of different reduction notions that have been studied in computational complexity (see e.g.~\cite{hemaspaandraO02} for an overview), it has often been observed that in nearly all $\mathsf{NP}$-completeness proofs in the literature logarithmic space many-one reductions su...
2,877,628,090,230
arxiv
\section{Introduction} Cooling flow groups and clusters contain large amounts of hot X-ray emitting gas that should be radiatively cooling on time scales less than a Hubble time (see Fabian, Nulsen \& Canizares 1984 for an early review of cooling flows). The primary uncertainty in the original cooling flow scenario...
2,877,628,090,231
arxiv
\section{Introduction} \label{Introduction-Section1} Inclusive insurance (or microinsurance) relates to the provision of insurance services to low-income populations with limited access to mainstream insurance or alternative effective risk management strategies. Many individuals excluded from basic financial services ...
2,877,628,090,232
arxiv
\section{Introduction} The description of the dynamics of open quantum systems has attracted increasing attention during the last few years \cite{Breuer02a}. The major reason for this is the identification of the phenomena of decoherence and dissipation, which characterize the dynamics of open quantum systems interacti...
2,877,628,090,233
arxiv
\section{Introduction} The reasons for investigation of the charge-nonsymmetric muonic molecules like $H\! eH\mu $ are as follows. First, a direct charge-exchange reaction from the ground-state muonic hydrogen atom to helium nuclei is suppressed, the transfer proceeds through the formation of the molecule in the in...
2,877,628,090,234
arxiv
\section{Introduction} \label{sec:intro} The analysis of network data has achieved increasing interest in the last years. \cite{Golden:10}, \cite{Hunter:12}, \cite{Fien:12} and \cite{Salter:12}, respectively, published survey articles demonstrating the state-of-the-art in the field. We also refer to \cite{Kol:09}, \cit...
2,877,628,090,235
arxiv
\section{Introduction} In magnetic confinement fusion, the stellarator configuration offers viable solutions for what today appear to be serious problems of the more developed tokamak concept. Since the confining field of a stellarator is created by external coils, without the need to drive large amounts of current wi...
2,877,628,090,236
arxiv
\section{Introduction} \label{intro} Many textbooks on Quantum Mechanics, like Feynman's lectures \cite{Feynman}, describe a thought-experiment based on the Young's double-slit interference setup, and realised with independent particles sent one at a time through the interferometer. The striking feature is that the ima...
2,877,628,090,237
arxiv
\section{Introduction}\label{sec:motivation} Classification tasks on data sets with large feature dimensions are very common in real-world machine learning applications. Typical examples include microarray data for gene selection and text documents for natural language processing. Despite the large number of features...
2,877,628,090,238
arxiv
\section*{Appendix: Analysis of $\overline{\text{P}}_{b}(t_w)$} \addcontentsline{toc}{section}{Appendices} \renewcommand{\thesubsection}{\Alph{subsection}} In order to find the optimal value of $t_w$ and correspondingly $t_i$, the derivation of $\overline{\text{P}}_{b}(t_w)$ with respect to $t_w$ is given as follows ...
2,877,628,090,239
arxiv
\section{Introduction} \indent{} The topology-dependent electronic properties of solids are the subject of considerable current research. Although theoretical and experimental exploration of the electronic implications of topology fall clearly in the realm of materials physics \cite{RevModPhys.82.3045}, the compounds ...
2,877,628,090,240
arxiv
\section{Introduction \label{sec:intro} The past few years have been marked by a slow, but steady, shift from the era of the detections of exoplanets to the new age of the characterization of their atmospheres. Exoplanets transiting in front of their host stars allow for atmospheric features to be imprinted onto the ...
2,877,628,090,241
arxiv
\section{Introduction} It goes without saying that symmetry is a central theme in theoretical physics as it provides strong constraints on the dynamics of physical systems. A textbook example is Noether's theorem in classical physics, which states that every continuous symmetry is associated with a conservation law. At...
2,877,628,090,242
arxiv
\section{Introduction and Main Result} A $2$-$(v,k,\lambda )$ \emph{design} $\mathcal{D}$ is a pair $(\mathcal{P},% \mathcal{B})$ with a set $\mathcal{P}$ of $v$ points and a set $\mathcal{B}$ of blocks such that each block is a $k$-subset of $\mathcal{P}$ and each two distinct points are contained in $\lambda $ block...
2,877,628,090,243
arxiv
\section{Introduction} The Bienaym\'e-Galton-Watson (BGW-) process is a basic model for the stochastic dynamics of the size of a population formed by independently reproducing particles. It has a long history \cite{HS} with its origin dating back to 1837. This paper is devoted to the BGW-processes with countably many ...
2,877,628,090,244
arxiv
\section{Introduction} \label{sec:introduction} In this article we prove the Hardy--Stein type identity for a regular pure-jump Dirichlet form \begin{align} \label{eq:E2=iintFp} \mathcal{E}(u,v) = \frac{1}{2}\iint\limits_{\mathclap{E\times E\setminus\mathrm{diag}}} (u(y)-u(x))(v(y)-v(x))\,J(dx,dy) \end{al...
2,877,628,090,245
arxiv
\section{Introduction} This paper is a direct sequel to \cite{BP_FCOP}, assembling the model structures on the categories $\sOp_{\mathfrak C}^G$ of equivariant simplicial operads with a fixed $G$-set of colors $\mathfrak C$ \cite[Thm. \ref{OC-THMI}]{BP_FCOP} to a Dwyer-Kan style model structure on the categor...
2,877,628,090,246
arxiv
\section{Introduction\label{sec:Introduction}} Meshless methods have a rich variety of applications in hydrodynamic modeling, particularly in situations that are challenging to mesh initially or where complex flows make it difficult to maintain a good meshed description. Examples include problems with large deformatio...
2,877,628,090,247
arxiv
\section{Introduction} For most of the mathematical constants used today, like $\pi$, $e$ or $\zeta$, very efficient algorithms to approximate these constants are known. There are, however, rare cases such as Bloch's, Landau's or the Hayman-Wu constant, where conjectures and rough bounds on such constants are known b...
2,877,628,090,248
arxiv
\section{Introduction} On March 11, 2020 World health organization (WHO) declared the novel coronavirus disease, COVID-19, as a pandemic. More than a million people across 203 countries have already been affected by this disease, with more than 50,000 lives lost globally (as of April 2, 2020). In addition, daily lives ...
2,877,628,090,249
arxiv
\section{Structure of claw-free graphs} In this section, we prove that for every $k$, every claw-free graph with bounded maximum degree and with no induced subgraph isomorphic to the line graph of a $(k\times k)$-wall has bounded treewidth. Our proof relies on a structural description of claw-free graphs due to the ...
2,877,628,090,250
arxiv
\section{\bf Introduction} \par The ongoing experiments like ultra-relativistic heavy-ion collision at BNL and the large hadron collider at CERN have focussed on the search of the QCD phase structure and the formation of mini big bang. The experiments at BNL and CERN will provide the best platform to study the ...
2,877,628,090,251
arxiv
\section{Introduction} In order to test the wide-band imaging capabilities of the EVLA\footnote{The EVLA is operated by the National Radio Astronomy Observatory (NRAO) for Associated Universities Inc. under a license from the National Science Foundation of the USA.}, we have observed several known and possible Gal...
2,877,628,090,252
arxiv
\section{Introduction} In the last decades, there has been a lot of progress on the two-dimensional steady water wave problem with vorticity (see for example \cite{C, EEW2011, Varholm20, Wahlen06, WahlenWeber21} and references therein). The corresponding three-dimensional problem is significantly more challenging, due...
2,877,628,090,253
arxiv
\section{Framework of the Burnett spectral method} \label{sec:general} Burnett polynomials are introduced in \cite{Burnett1936} to study high-order approximation to the distribution function for a slightly non-uniform gas. Here we adopt a normalized form and write Burnett polynomials as \begin{displaymath} p_{lmn}(\bv...