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1,314,259,993,863
arxiv
\section{Introduction and summary \label{Intro}} Gauge theory on the fuzzy sphere has been of interest for many years as the simplest example of a noncommutative gauge theory with finitely many degrees of freedom which retains all of the classical symmetries of the corresponding undeformed field theory (see for instan...
1,314,259,993,864
arxiv
\section{Introduction} Suppose $X=(X_t,\mathbb{P}_t)$ is a Hunt process on ${\mathbb R}^d$ with a L\'{e}vy system $(N,H)$ given by $H_{t}=t$ and $$ N(x,dy)=2C(x,y){|x-y|}^{-(d+\alpha)}m(dy),$$ where $m$ is a measure on ${\mathbb R}^d$ given by $m(dx)=M(x)dx$ with $M(x)$ bounded between two positive numbers. That is for...
1,314,259,993,865
arxiv
\section{Introduction} Naive Bayes classifiers have proven to be useful in many prediction problems with complete training data. Here we consider the situation where a naive Bayes classifier is trained with data where the response is right censored. Such prediction problems are for instance encountered in profiling sys...
1,314,259,993,866
arxiv
\section{Introduction} The rapid development of multifiber spectroscopy in recent years has made possible the simultaneous acquisition of large numbers of galaxy spectra. The obtention of extensive and complete redshift data bases for clusters of galaxies has hastened the investigation of the physical properties of th...
1,314,259,993,867
arxiv
\section{Introduction} A central step in stochastic control problems concerns estimating \emph{expected costs-to-go} that are used to approximate the optimal feedback control. In simulation approaches to this question, costs-to-go are sampled by generating trajectories of the stochastic system and then regressed again...
1,314,259,993,868
arxiv
\section{Introduction} Given an oriented $3$-manifold $M$ with $\partial M=\mathbb{T}^2,$ a pair of slopes $s \neq s'$ on the boundary is said to form a \textit{cosmetic surgery pair} if the Dehn fillings $M(s)$ and $M(s')$ are homeomorphic, and a \textit{purely cosmetic surgery pair} if $M(s)$ and $M(s')$ are homeomor...
1,314,259,993,869
arxiv
\section{Introduction} \label{s:Intro} \noindent For a prime number \(p\) and an algebraic number field \(F\), let \(F_p^{(\infty)}\) be the \(p\)-\textit{class tower}, more precisely the unramified Hilbert \(p\)-class field tower, that is the maximal unramified pro-\(p\) extension, of \(F\). The individual stages \(F_...
1,314,259,993,870
arxiv
\section{Introduction} \label{section:introduction} Homograph attack is first described by E. Gabrilovic et al.~\cite{homograph_first2002} in 2002. To demonstrate the feasibility of the attack, the authors registered a homograph targeting to the brand domain \url{microsoft.com} using the Russian letters 'c' (U+0421) an...
1,314,259,993,871
arxiv
\section{Introduction} In recent years, the field of radio detection of air showers has advanced quite rapidly~\cite{huege2016,Frank}. Estimating the depth of the shower maximum, $X_{\rm max}$, with improved accuracy is of great interest for the study of the primary particle composition \cite{nature,Apel}. The dev...
1,314,259,993,872
arxiv
\section{Introduction} \label{sec:introduction} It is an important problem to understand hadron properties based on the fundamental theory of the strong interaction, Quantum Chromodynamics (QCD). Due to the non-trivial features of the QCD dynamics at low energies, the hadron physics shows us many interesting and ev...
1,314,259,993,873
arxiv
\section{Introduction} \label{sec:intro} Several earth-based interferometers designed to detect gravitational waves have been recently constructed. Detectors such as LIGO, VIRGO, GEO and TAMA are expected to begin operating within a few years (see {\it e.g.} \cite{gw-review}). In order to extract gravitational wave...
1,314,259,993,874
arxiv
\section{Introduction} Landau Fermi liquid theory\cite{Landau1957} is a remarkably successful framework that explains how a metal can remain a stable phase of matter over a wide range of energy scales, despite having infinitely many gapless excitations. From the modern perspective of effective field theory, a Fermi l...
1,314,259,993,875
arxiv
\section{Introduction} The role of the geomagnetic field in life processes remains unclear. Even the fact that some animals can navigate using the geomagnetic field is not yet explained \citep{Johnsen.ea.2008,Mouritsen.2012}. The nature of biological effects caused by such weak magnetic fields is a physical problem \c...
1,314,259,993,876
arxiv
\section{Introduction} Self-gravitating astrophysical objects are usually set into rotation due to diverse formation and evolution scenarios. Gravitational attraction is compensated by pressure but also by centrifugal forces. For fast rotating astrophysical objects, the centrifugal force substitutes to a substantial f...
1,314,259,993,877
arxiv
\section*{Appendix} \subsection*{Preliminaries of power networks} \begin{figure}[htbp] \centering \includegraphics[width=0.235\textwidth]{figs/intro-fig-scheme.png} \includegraphics[width=0.235\textwidth]{figs/intro-fig.png} \caption{Schematic of power distribution network with few residential EV adopt...
1,314,259,993,878
arxiv
\section{Introduction} \label{sect:intro} Magnetic fields play an important role in astrophysical phenomena of the universe on various scales. For galaxies, dynamo models associated with various MHD instabilities occurring in the interstellar medium (ISM) are used to explain the formation of the galactic structure (e...
1,314,259,993,879
arxiv
\section{AD-AE Appendix} \subsection{Paper Artifact Description / Article Evaluation (AD/AE) Appendix} Are there computational artifacts such as datasets, software, or hardware associated with this paper? Yes. \subsection{AD/AE Details} Experiments were run on a Stanford University HPC cluster equipped with dual-so...
1,314,259,993,880
arxiv
\section{Introduction} \label{sec:intro} \IEEEPARstart{O}{ver} the past two decades, a great evolution of optical communication systems, in terms of spectral efficiency$\times$distance product, has been enabled by the advances in digital coherent detection. So far, most of the efforts, on reaching the capacity of the n...
1,314,259,993,881
arxiv
\section{Introduction}\label{sec:introduction} In the context of IoT, many applications cannot afford the presence of a battery because of size, weight and cost issues. The recent advancement in the Non-Volatile Memory (NVM) technologies is paving the way for Non-Volatile Computing Systems. These systems are able to su...
1,314,259,993,882
arxiv
\section{Introduction} It is generally accepted that the intergalactic medium (IGM) contains the majority of the baryons in the universe \citep[e.g.][]{Shull03,Lehner07,Danforth08,Richter08,Shull12,Danforth16}, making it a key component in understanding cosmological structure formation. It is estimated that about $...
1,314,259,993,883
arxiv
\section{\label{sec:level1}Introduction} Dissipative solitons are stable localized excitations of nonlinear systems that include drive and dissipation, generalizing the concept of solitary wave-like solutions (solitons) to the case of non-integrable systems \cite{akhmediev2008dissipative}. Transverse optical systems i...
1,314,259,993,884
arxiv
\section{I Introduction} More than 50 years ago John von Neumann traced first parallels between architecture of the computer and the brain \cite{neumann}. Since that time computers became an unavoidable element of the modern society forming a computer network connected by the World Wide Web (WWW). The WWW demonst...
1,314,259,993,885
arxiv
\section{Introduction} Unsupervised generative modeling is at the forefront of deep learning research~\cite{Goodfellow2016}. Unlike the extremely successful discriminative tasks such as supervised classification and regression, the goal of generative modeling is to model the probability distribution of observed data an...
1,314,259,993,886
arxiv
\section{Main results and set-up} \subsection{Main results} Consider $n$ classical particles moving in $d$-dimensional Euclidean space under the influence of a potential which is the sum of pair potentials. If the pair potentials die off appropriately at infinity then we expect that, within any widely separate...
1,314,259,993,887
arxiv
\section{Introduction} The Homunculus nebula around the massive luminous blue variable $\eta$~Carinae is the result of an eruptive mass-loss event that took place around 1843, throwing out more than 10~M$_{\odot}$ in a bipolar outflow \citep{morseetal01,gaviola50,ringuelet58,currieetal96,smithetal98a,smithetal98,smith...
1,314,259,993,888
arxiv
\section{Introduction} Material recognition is a crucial task in the application of scene understanding and has a wide range of usage scenarios. The prediction of material recognition can provide additional \emph{material} information (1) to support robotic grippers~\cite{yoon2021analysis} to determine the correct forc...
1,314,259,993,889
arxiv
\section{Introduction} \label{sec:introduction} \IEEEPARstart{H}{umans} can readily and accurately estimate the 3D shape of an object from a set of 2D landmark points on a single image. Many computer vision approaches have been developed over the years in an attempt to replicate this outstanding ability. As an exampl...
1,314,259,993,890
arxiv
\section{Introduction} Category recognition is one of the fundamental tasks in computer vision, an area where neural networks have had a great success. However, they usually require a relatively large amount of labeled training data for each class. This may limit their application in scenarios where training data are s...
1,314,259,993,891
arxiv
\section{Introduction}\label{sec:one} One of the most important scientific features of planetary microlensing is that it is sensitive to cold planets lying at around or beyond the snow line. Detecting these planets is important because, according to the core-accretion theory of the planet formation \citep{Laughlin...
1,314,259,993,892
arxiv
\section{Introduction} Electroweak properties are widely used as an important source of information on the structure of hadrons. In particular within the framework of light-front (LF) dynamics \cite{dirac,brodsky,karmanov,kp,LEV}, a large number of papers has been devoted to the study of nuclei and hadrons (see e.g. \...
1,314,259,993,893
arxiv
\section{Introduction} Stellar evolution models predict that when life evolved on the Earth more the 4 billion years ago just after the heavy bombardment, the conditions in the inner part of the solar system were significantly different compared to what we know today. E.g. it was noted already in 1972 by Sagan and Mull...
1,314,259,993,894
arxiv
\section{Applications}\label{application} DeepProbe\xspace is versatile in the sense that it has a wide range of applicability, covering inference, ranking, adaptive sampling and decision making. We have built three applications of DeepProbe\xspace, illustrated in figure \ref{three}. In this section, we will elaborate...
1,314,259,993,895
arxiv
\section{Introduction}\label{Section1} Internet of things (IoT) aims at connecting ubiquitous devices to Internet, and it has become an important driving force for information technology innovation \cite{Campbell2016, wu2014cognitive}. Power supply is crucial to support high-performance computation and communicat...
1,314,259,993,896
arxiv
\section{Introduction} In recent years, there has been increased interest in the role of supermassive black holes (SMBHs) in galaxy formation and evolution. Most massive spheroidal galaxies are believed to harbor SMBHs at their centers, and the masses of the SMBHs have a correlation with the luminosities \citep{mago...
1,314,259,993,897
arxiv
\section{Introduction}\label{sec:introduction} The proliferation of online crowdsourcing platforms has ignited a lot of research in crowdsourcing and, more recently, in team formation. Such platforms enable their users to identify freelance experts to complete a job. Although small tasks may require just one expert t...
1,314,259,993,898
arxiv
\section{Introduction} Suppose we observe a series of $m$ independent $n$-dimensional Gaussian vectors ${\bf y}_1,...,{\bf y}_m$ with independent components and common variance: \begin{equation} \label{eq:model} {\bf y}_j=\mbox{\boldmath $\mu$}_j+\mbox{\boldmath $\epsilon$}_j,\;\;\; \mbox{\boldmath $\epsilon$}_j \sta...
1,314,259,993,899
arxiv
\section{Introduction} The field of composition, non-associative algebras, and related Lie algebras, underwent a series of interesting developments in recent times. In \cite{D-1} Deligne proposed dimension formulas for the exceptional series of complex simple Lie algebras, whose parametrization in terms of the dual C...
1,314,259,993,900
arxiv
\subsection{The Remaining Proof of Proposition \ref{prop:swmso-theorems}} \begin{proof} \begin{enumerate} \item[2) ] We have assumed $\Gamma \cup \{\varphi\} \vdash \Psi_1 \approx \Psi_2$, and we get $\Gamma \cup \{\neg \varphi\} \vdash \Psi_2 \approx \Psi_2$ by reflexivity, so $(S4)$ gives $\Gamma \vda...
1,314,259,993,901
arxiv
\section{Introduction} The U.S. was one of the first countries to roll out the COVID-19 vaccines. However, vaccination doses administered per 100 people in the U.S. are among the lowest in the developed world (\cite{NytHolde2021}). Vaccine hesitancy is not a new phenomenon in the US and it has been suggested that age,...
1,314,259,993,902
arxiv
\chapter*{Preface} \addcontentsline{toc}{chapter}{Preface} This thesis is about local and non-local Dirichlet forms on the Sierpi\'nski gasket and the Sierpi\'nski carpet. We are concerned with the following three problems in analysis on the Sierpi\'nski gasket and the Sierpi\'nski carpet. \begin{enumerate}[(1)] \item...
1,314,259,993,903
arxiv
\section{Introduction} \subsection{Contribution of this report} Civil aviation is considered to have been responsible for about 2\% of anthropogenic carbon dioxide $(CO_2)$ emissions in 1990 \cite{IPCC1999}, and this percentage is widely believed to have increased since then. This report shows that significant reduc...
1,314,259,993,904
arxiv
\section{Introduction} The thought experiment known as ``Maxwell's Demon''~\cite{maxwell1871theory} addressed the issue that the Second Law of thermodynamics is statistical in nature. An ideal gas at temperature $T$ is enclosed in an isolated container divided into two equal parts by a fixed wall with a trap door oper...
1,314,259,993,905
arxiv
\subsection{Please Capitalize the First Letter of Each Notional Word \section{Introduction} \label{sect:intro} According to the hierarchical bottom-up scenario, clusters of galaxies are thought to be formed by accreting and merging of subunits. The structure and dynamics of the rich galaxy clusters with ongoing merge...
1,314,259,993,906
arxiv
\section{Introduction} \quad Simulated annealing (SA) is an umbrella term which denotes a set of stochastic optimization methods. The goal of SA is to find the global minimum of a function $f: \mathbb{R}^d \to \mathbb{R}$, in particular when $f$ is non-convex. These methods have many applications in physics, operation...
1,314,259,993,907
arxiv
\section{Introduction.} Let us introduce some notations. As usual, we denote by $\mathbb{R}, \mathbb{C}, \mathbb{N}, \mathbb{Z}, \mathbb{Z}_+$ the sets of real numbers, complex numbers, positive integers, integers and non-negative integers, respectively. By $\mathbb{Z}^n_+$ we mean $\mathbb{Z}_+\times \ldots \times\m...
1,314,259,993,908
arxiv
\section{Introduction} With the advancement of high throughput technologies, it is {now} common to encounter high dimensional data {with the} number of parameters ($d$), often far exceeding the sample size ($n$). {In this high dimensional setting it is often of interest to investigate relationships among thousands of v...
1,314,259,993,909
arxiv
\section{Introduction} \label{sec:intro} \begin{figure} \includegraphics[width=\linewidth]{flow} \vspace{-20pt} \caption{ Given only unannotated 2D images as training data, our model learns (1) to reconstruct and predict the pose of 3D meshes from a single test image, and (2) to generate new 3D mesh samples. It ...
1,314,259,993,910
arxiv
\section{Introduction}\label{sec:intro} \emph{Catenoids} are among the simplest examples of a non-flat minimal hypersurface in Euclidean space. With respect to the Lorentzian generalization of the minimal hypersurface equation, which is a quasilinear wave equation that will be referred to as the \emph{hyperbolic vanis...
1,314,259,993,911
arxiv
\section{Introduction} Let $F$ be a field and $K$ be a finite Galois extension over $K$. If $a\in K$ is such that $\{\sigma(a):\sigma\in\text{Aut}(K/F)\}$ forms a basis of $K/F$, $a$ is called a {\em normal element} of $K$ over $F$ and $\{\sigma(a):\sigma\in\text{Aut}(K/F)\}$ is called a {\em normal basis} of $K$ over...
1,314,259,993,912
arxiv
\section{I. Introduction} In their seminal paper~\cite{Hosoya-Morikawa}, Hosoya and Morikawa explored the consequences of the quantization of the wave function of the Universe, now known as third quantization. The main motivation was to overcome the problem of the probabilistic interpretation of the wave function of t...
1,314,259,993,913
arxiv
\section{Introduction} \label{sec::intro} The study of mechanical contact and friction is a subject of high importance in many fields, from biological and engineering applications to geological sciences. Since natural and industrial surfaces always possess roughness under certain magnification, the contact between soli...
1,314,259,993,914
arxiv
\section{Introduction} \label{sec:1} Integrable Hamiltonian systems have important applications in diverse fields of physics and are in the focus of intense investigation by a great variety of mathematical methods. We are interested in the family of classical many-body systems introduced in their simplest form by Cal...
1,314,259,993,915
arxiv
\section{Introduction} The quantum concept of entanglement is the most intriguing feature that allows to establish new physical paradigms in information processing. The corresponding non-classical protocols need a certain degree of entanglement as a quantum resource \cite{BEN98}. Consequently one has to understand ho...
1,314,259,993,916
arxiv
\section{Introduction} The investigation of the time evolution of an arbitrary number $N$ of point-particles the dynamics of which is determined by Newtonian equations of motion ("accelerations equal forces") is of course a fundamental topic in physics and mathematics. The identification in this context of models...
1,314,259,993,917
arxiv
\section{Introduction} \label{sec:intro} Measurements of ultrahigh energy cosmic rays are only possible through the detection of secondary particles produced in extensive air showers (EAS). The inference of some of the properties of the primary cosmic ray particles like their nuclear mass, relies on the comp...
1,314,259,993,918
arxiv
\section{Introduction} Search-oriented conversational systems aim to return an appropriate answer in response to the user requests. But some requests might be ambiguous and the systems can be enhanced by asking a good clarifying question. The main reserach challenges on clarifying questions for a conversational informa...
1,314,259,993,919
arxiv
\section{Introduction} \label{sec:introduction} UAVs (Unmanned Aerial Vehicles) or drones as they are popularly known are paving their ways into different fields of applications$,$ which has led to their increased presence in the consumer market. Significant research work is now being focused on communication problems ...
1,314,259,993,920
arxiv
\section{Introduction} \input{sections/introduction} \subsection{Notation} \input{sections/notation} \section{Gauss--Newton acceleration of PANOC}\label{sec:gn-panoc} \input{sections/derivation} \section{Optimal control}\label{sec:optimal-control} \input{sections/optimal-control} \section{Algorithmic details}\label{se...
1,314,259,993,921
arxiv
\section{Introduction} The ability to detect high-energy radiation is crucial for applications in high-energy physics, medicine, as well as homeland security \cite{Rod97, Kno10}. For these applications, one frequently relies on scintillators, which are materials that convert high energy radiation into low energy photo...
1,314,259,993,922
arxiv
\section{Spontaneous symmetry breaking} This is a feature of many physical systems, often accompanying a phase transition. For example, there are no preferred directions in a liquid such as water --- it has complete rotational symmetry. But when it freezes the resulting crystal \emph{does} have a definite orientatio...
1,314,259,993,923
arxiv
\section{Introduction} Working out propagators is the difficult part about formulating quantum field theoretic perturbation theory on exotic backgrounds. It is typically accomplished by solving the differential equation that the propagator must obey, however, this procedure is ambiguous up to a homogeneous solution. I...
1,314,259,993,924
arxiv
\section{\@startsection {section}{1}{\z@}{-8.5ex plus -1ex minus -.2ex}{3.3ex plus .2ex}{\large\bf} \def\subsection{\@startsection{subsection}{2}{\z@}{-3.25ex plus -1ex minus -.2ex}{1.5ex plus .2ex}{\bf}} \def\subsubsection{\@startsection{subsubsection}{3}{\z@}{-3.25ex plu -1ex minus -.2ex}{1.5ex plus .2ex}{\sl}}...
1,314,259,993,925
arxiv
\section{Introduction} \label{sec:intro} Stellar activity can manifest as a number of magnetic phenomena, most prominently as starspots and flares. In fully convective stars or cool stars with convective outer envelopes, starspots are dark regions where the local magnetic field suppresses the convection \citep[][and ...
1,314,259,993,926
arxiv
\section{Introduction} Conclusive evidence exists for black holes in the stellar-mass ($\sim 3-30~M_\odot$) and supermassive (SMBH; $\sim 10^6-10^{10}~M_\odot$) ranges. This evidence comes from direct measurements of masses from orbital motion in, respectively, binaries and galactic nuclei. In contrast, the range be...
1,314,259,993,927
arxiv
\section{Experimental Results} \input{tables/result.tex} \begin{figure*}[ht] \label{corr_plot} \includegraphics[width=\textwidth]{figures/CORR_Plots.png} \caption{Empirical Correlation Coefficient Plots by Prediction Horizon} \end{figure*} \begin{figure}[ht] \centering \includegraphics[width=0.48\textwidt...
1,314,259,993,928
arxiv
\section{Introduction} \label{sec:intro} It is often convenient to regard a space of certain loops in a smooth manifold as a smooth manifold itself with the aim of doing differential topology thereon. Depending on the application this approach can vary from the conceptual to the rigorous. The two most popular types ...
1,314,259,993,929
arxiv
\section{Introduction.} Supersymmetric field theories in a variety of space-time dimensions give rise to non-linear sigma models with a restricted target-space geometry. There are many examples in the literature where this phenomenon led to surprising results, sometimes with interesting connections to mathematics. Fur...
1,314,259,993,930
arxiv
\section{Introduction} This work covers the process of using real microcontrollers to test a data collection strategy based on Bluetooth Mesh \cite{bm51}. That data collection strategy (MAM) was described and simulated by past work \cite{winsys21mam} \cite{jv2022exploring}. MAM differs significantly from Bluetooth Mes...
1,314,259,993,931
arxiv
\section{Elliptic knots and links of degree 6} \newcommand{\operatorname{Ch}}{\operatorname{ch}} \begin{thm}\label{thm-g1t} There are 16 topological isotopy types (homeomorphism classes of pairs $({\mathbb R}{\mathbb P}^3,\mathbb R L)$) of elliptic (genus 1) smooth real algebraic curves $K$ of degree 6 in the projectiv...
1,314,259,993,932
arxiv
\section{Introduction} \label{sec:intro} We study multichannel deconvolution with errors following independent fractional Brownian motions (fBms). More specifically, consider the problem of recovering $f(\cdot) \in L^2(T)$, $T=[0,1]$, on the basis of observing the following noisy convolutions, with known blurring funct...
1,314,259,993,933
arxiv
\section{Introduction} \subsection{Local-global principle for zero cycles} Given a smooth projective variety defined over a global field, a natural and important problem is to find criteria for the existence of rational points and a description of the set of all rational points. Hasse principle and weak approximation ...
1,314,259,993,934
arxiv
\section{Introduction} Black holes and Gravitational Waves (GWs) are two of the most fascinating predictions of General Relativity (GR). Black holes are among the most mysterious objects in our universe that have attracted the attention of scientific community for many decades. It is widely believed that when a suf...
1,314,259,993,935
arxiv
\section{Acknowledgments} The author thanks Melanie Beck, Andrew Reed, Chris Wallace, Grant Custer, Danielle Thorpe and other members of the Cloudera Fast Forward team for their valuable feedback. \section{Appendices} \label{sec:appendix} Appendices are material that can be read, and include lemmas, formulas, proofs,...
1,314,259,993,936
arxiv
\section{Introduction} We say that a boolean function $f : \bit^n \rightarrow \bit$ is a \emph{Polynomial Threshold Function of degree $d$} if it can be expressed as the sign of a polynomial $p \in \mathbb R [ x_1, \ldots, x_n ]$ of degree at most $d$ evaluated on the boolean hypercube. For brevity, we will use the te...
1,314,259,993,937
arxiv
\section{Introduction} \label{sec:intro} Incremental speech recognition (ISR) allows a speech-based interaction system to react quickly while the utterance is being spoken. Unlike offline sentence-wise automatic speech recognition (ASR), where the decoding result is available after a user finishes speaking, ISR return...
1,314,259,993,938
arxiv
\section{Introduction}% In recent years, deep reinforcement learning (RL) has been applied very successfully to hard control tasks like playing video games \cite{Vinyals2019, Berner2019, Mnih2015, Silver2017}, acquiring locomotion skills \cite{Schulman2015a, Haarnoja2018a, Barth-Maron2018} and, robotic manipulation t...
1,314,259,993,939
arxiv
\section{Introduction} Nekrasov partition function \cite{r:Nekrasov} is an exact formula for the partition function of four-dimensional $\mathcal{N}=2$ supersymmetric gauge theory, including non-perturbative instanton effects. It is calculated in a deformed four-dimensional Euclidean space, called $\Omega$-backg...
1,314,259,993,940
arxiv
\section{INTRODUCTION} Understanding the cosmic evolution of supermassive black holes (SMBHs) in galactic centers and their connections with the evolution of their host galaxies is one of the main goals in modern astronomy. Active galactic nuclei (AGN) are the fundamental laboratories in those studies be...
1,314,259,993,941
arxiv
\section{Introduction} Richardson first introduced the concept of {\em scale invariance}, i.e., a power-law scaling between dependent and independent variables, to the study of conflict by examining the frequency of large and small conflicts, as a function of their severity~\citep{Richardson48}. His work demonstrated t...
1,314,259,993,942
arxiv
\section{Introduction} Recent years have witnessed new progress in the study of particle physics during the cosmic inflation. It was realized that current and upcoming cosmological observations have great potential in probing the structures of primordial scalar and tensor perturbations, and thereby could provide us a ...
1,314,259,993,943
arxiv
\section{\textbf{Introduction}} In Ref. \cite{epjc2014} was studied a five-dimensional Eins\-tein-Chern-Si\-mons gravity whose action $S=S_{g}+S_{M}$ is composed of a gravitational sector and a sector of matter, where the gravitational sector is given by a particular Chern-Simons gravity action \cite{PLB2009}\ i...
1,314,259,993,944
arxiv
\section{Supplemental Material} \begin{centering} {\large \textbf{Evidence for even parity unconventional superconductivity in Sr$_2$RuO$_4$}} A. Chronister$^{1 \dagger\star}$, A. Pustogow$^{1 \dagger\star}$, N. Kikugawa$^{2}$, D. A. Sokolov$^{3}$, F. Jerzembeck$^3$, C. W. Hicks$^{3}$, A. P. Mackenzie$^{3,4}$, E. D....
1,314,259,993,945
arxiv
\section{Introduction} Let $k$ be a base field. Given a smooth proper $k$-scheme $X$, let us denote by $\mathcal{Z}^*(X)_\mathbb{Q}$ the (graded) $\mathbb{Q}$-vector space of algebraic cycles on $X$. It is well-known that one can define many different equivalence relations on $\mathcal{Z}^*(X)_\mathbb{Q}$, such as the...
1,314,259,993,946
arxiv
\section{Introduction} Vector fields were suggested in cosmology as alternative to scalar fields as inflation and dark energy drivers \cite{Ford,Arm,Kiselev:2004py,Wei:2006tn}. Apart from being physically appealing as well-understood and common component of all existing theories,they may be useful, in particular, ...
1,314,259,993,947
arxiv
\section{Introduction}\label{Introduction} Let $S_{g, b}$ be a compact connected orientable surface of genus $g\geq 3$ with $b\geq 0$ boundary components. The {\it mapping class group} $\mathcal{M}_{g, b}$ of $S_{g, b}$ is the group consists of the isotopy classes of orientation preserving homeomorphisms on $S_{g, ...
1,314,259,993,948
arxiv
\section{Coding Theory} Error correcting codes are broadly separated in two sections; linear codes and non linear codes. Due to their elegant mathematical structure, linear codes received major interest of the coding community. Traditionally, linear codes are categorized into two types; block linear codes and convolut...
1,314,259,993,949
arxiv
\section{Introduction} For all terms and definitions, not defined specifically in this paper, we refer to \cite{JAG,FH, DBW} and for the terminology and results in the theory of signed graphs, see \cite{AACE,GSH,FHS,TZ1,TZ2}. Unless mentioned otherwise, all graphs considered here are simple, finite and have no isolat...
1,314,259,993,950
arxiv
\section{Introduction}\label{sec:introduction}} \IEEEPARstart{A}{rtificial} Intelligence (AI) is one of the most prevalent topics of research today across almost every scientific field. For example, multi-agent systems can be applied to distributed control systems~\cite{GE20181684}, while distributed machine learning h...
1,314,259,993,951
arxiv
\section{Introduction} \label{SECTION: INTRODUCTION} The takeoff point for this paper is the classical Kelly trading problem~\cite{Kelly_1956, Cover_Thomas_2012, Thorp_2006, Rotando_Thorp_1992,Algoet_Cover_1988}, which calls for maximizing the Expected Logarithmic Growth~(ELG) of a trader's account. To be more...
1,314,259,993,952
arxiv
\section{Statement of the results} Let $\mathcal{K}$ be a non-archimedean locally compact field with finite residue field of order $q$. Let $G$ be an almost simple linear algebraic group defined over $\mathcal{K}$ of $\mathcal{K}$-rank $\ell+1$. Let $\mathfrak T$ be the Bruhat-Tits building associated with $G(\mathcal...
1,314,259,993,953
arxiv
\section{Introduction} The costs to trading desks of holding positions typically include funding, and at least five banks\footnote{Barclays, Goldman Sachs, Lloyds Banking Group, Royal Bank of Scotland, JP Morgan (for the last one, see Financial Times 15 Jan 2014).} \cite{Cameron2013a} report funding value adjustments ...
1,314,259,993,954
arxiv
\section{Details of Evaluation on Downstream Tasks} \label{sec:appendix:eval-details} \InputWithSpace{tables/table-comment-update-full-models-results.tex} \section{Background} We first give a high-level overview of the building blocks that are necessary to understand our approach. \subsection{Generation with ...
1,314,259,993,955
arxiv
\section{Introduction}\label{sec:introd} Computational Fluid Dynamics (CFD) tools for simulating reacting flows are crucial in developing less-polluting and highly-efficient energy and propulsion technologies \cite{poinsot2005theoretical}. While the turbulent flow and chemical reactions are strongly coupled in practic...
1,314,259,993,956
arxiv
\section{Introduction} Compactifications of type II string theory on Calabi-Yau (CY) threefolds represent a fruitful laboratory to generate, test, and exemplify various ideas on string dynamics, dualities and non-perturbative physics. They are very rich from both, physical and mathematical, points of view and have...
1,314,259,993,957
arxiv
\section{Introduction}\label{sec:intro} Random matrix theory (RMT) is a versatile tool for analyzing spectral statistics of operators like Hamiltonians in quantum chaotic and disordered systems~\cite{GMW,Haake,Sieber,Beenakker}, the density operator in quantum information theory~\cite{Bengtsson,ForresterKieburg}, an...
1,314,259,993,958
arxiv
\section{Introduction} In a UWB relay channel, two diversity techniques, i.e., cooperative communication and UWB radios are combined and the system performance is improved considerably \cite{Sendonaris2003}. The relay channel was first introduced in \cite{vandermeulen-aap-1971}. In \cite{covergamal1979}, the relay ch...
1,314,259,993,959
arxiv
\section{Introduction} Let $X\subset\PP^N$ be an $n$-dimensional irreducible, nondegenerate projective variety defined over an algebraically closed field $\kk$ of characteristic $0$. The (classical) Gauss map is the rational morphism $\gamma :X\dashrightarrow \Gr(n,N)$ that assigns to a smooth point $x$ the projecti...
1,314,259,993,960
arxiv
\section{Introduction} Existing object detection methods~\cite{FasterRCNN-NIPS} require huge amounts of annotated training data. However, in the real world, samples of some categories are difficult to acquire and the cost to label high-quality samples can be very high. On the contrary, a child can recognize and locate ...
1,314,259,993,961
arxiv
\section{Introduction} We consider the Cauchy problem of the wave equation with a time-dependent damping and a power-type nonlinearity \begin{align} \begin{cases} \Box u + b(t) u_t = |u|^{p}, &\qquad t \in \lbrack 0,T), \quad x \in \mathbb R^n,\\ u(0) = u_0, \quad u_t(0) = u_1, &\qquad x \in \mathbb R^n. \end{c...
1,314,259,993,962
arxiv
\section{Introduction} The delay time distribution (DTD) of binary neutron stars (BNS) is currently poorly constrained, but as we have recently shown it can be determined using both the mass distribution of BNS merger host galaxies in the local universe (\citealt{sb19}; hereafter, Paper I) and the redshift distributio...