uuid int64 541B 3,299B | dataset stringclasses 1
value | text stringlengths 1 4.29M |
|---|---|---|
1,108,101,566,115 | arxiv |
\section{Introduction}
\label{sec:introduction}
\begin{figure}[t]
\centering
\includegraphics[width=1\linewidth]{figures/main_illustration.pdf}
\vspace{-0.3cm}
\caption{[A] Multiple moving sensors scan a time-varying object (cloud) from multiple-views. [B] The measurements, acquired at a different times, are t... |
1,108,101,566,116 | arxiv | \section{An infinite sequence of networks}
\label{app:networks}
To protect our intellectual property, the construction is encrypted
by a private secret key. After discovering the cipher, all details are here:
\medskip\noindent
ePC2 26lWMqx HOi9q2k DiP3XAq qEr c Auxn2A SnIbgpyM9k cNh18cNwnzxl IXd DI
jNdNJ WN4z 5kzVf... |
1,108,101,566,117 | arxiv | \section*{Introduction}
In the present paper we complete the study of the spherical nilpotent orbits in complex symmetric spaces by considering the symmetric pairs $(\mathfrak g,\mathfrak k)$ with $\mathfrak g$ of exceptional type, the cases with $\mathfrak g$ of classical type being considered in \cite{BCG} and \cite... |
1,108,101,566,118 | arxiv | \section{Our results} \label{sec:intro}
\section {Introduction}
\paragraph {BosonSampling.}
BosonSampling (Aaronson and Arkhipov \cite {AaAr13}, see also Tishby and Troyansky \cite {TrTi96})
is the following computational task.
\vspace{0.1 in}
\begin {enumerate}
\item
... |
1,108,101,566,119 | arxiv | \section{Introduction}
Certain classes of neutron stars are expected to be excellent sources of continuous gravitational waves (GWs). Anomalous X-ray pulsars and soft gamma repeaters, now widely recognised as neutron stars of the highly-magnetised variety \cite[`magnetars',][]{td92}, may be deformed by magnetic stress... |
1,108,101,566,120 | arxiv | \section{Introduction}
Decades ago, elliptical galaxies were thought to contain very little, if any, gas. Studies of galaxy formation, therefore, often focussed on the stellar properties, however we now know that a large fraction of the baryonic mass in massive galaxies is believe to be in diffuse form. Thus a complet... |
1,108,101,566,121 | arxiv | \section{Introduction}
There are sometimes speculations about a worst case scenario unfolding at the LHC. For example a light Higgs finally showing up after many years of running with no further signs of new physics would be distinctly unsatisfying. This would provide us with no insight about the origins of the observe... |
1,108,101,566,122 | arxiv | \section{Introduction}
The effects of topological terms on the dynamics of Goldstone modes and the
quantum number of solitons and instantons in non-linear ${\sigma }$ (NL${%
\sigma }$) models have a long history, and continue to attract strong
interests from the physics community\cite{wilczek}. For example, in one
spa... |
1,108,101,566,123 | arxiv | \section{Introduction}
\label{intro}
Observables in QCD are functions of $\alpha=g^2/4\pi$ and $1/N_f$. An inspection of the 5-loop $\beta$ function~\cite{Baikov:2016tgj} (see also~\cite{Luthe:2016ima}), 5-loop $\gamma_m$~\cite{Baikov:2014qja}, and 3-loop $\gamma_\pm$~\cite{Gracey:2012gx} reveals that these RG functi... |
1,108,101,566,124 | arxiv | \section{Introduction}
Mutualistic relationships, interspecific interactions that benefit both species, have been empirically studied for many years \cite{boucher:book:1985,hinton:PTENHS:1951,wilson:AmNat:1983,bronstein:QRB:1994,pierce:ARE:2002,kiers:Nature:2003,bshary:book:2003} and also a considerable body of theory... |
1,108,101,566,125 | arxiv | \section{Introduction}
The primary purpose of this paper is to establish uniform Lipschitz estimates
for a family of elliptic operators with rapidly oscillating, almost-periodic coefficients,
arising in the theory of homogenization.
More precisely, we consider the linear elliptic operator
\begin{equation}\label{opera... |
1,108,101,566,126 | arxiv | \section{Introduction}
In~\cite{strassen:1969}, V.\ Strassen presented a noncommutative
algorithm for multiplication of two~$\matrixsize{2}{2}$ matrices using
only~$7$ multiplications. The current upper bound~$23$
for~$\matrixsize{3}{3}$ matrix multiplication was reached by J.B.\
Laderman in~\cite{laderman:1976a}. Th... |
1,108,101,566,127 | arxiv | \section{Introduction}
Integrating renewable energy generations, distributed
microgenerators, and storage systems into power grids is one of the
key features of enabling the future smart grid \cite{SG-techreport}.
However, this integration gives rise to new challenges, such as the
appearance of overvoltages at the dis... |
1,108,101,566,128 | arxiv | \section{Introduction}
A large fraction of early-type main sequence stars are associated with ultracompact H{\sc
ii}-Re\-gions (UCH{\sc ii}s, Wood \& Churchwell \cite{wood}).
These are characterized by large electron densities $N_{\rm e} \ge 10^4$
$\mbox{cm}^{-3}$, sizes $< 0.1$~pc and temperatures $T_e \approx 10\,00... |
1,108,101,566,129 | arxiv | \section{Introduction}
A fractional quantum Hall (QH) system of filling fraction $\nu$ has edge channels that support fractional charges obeying fractional braiding statistics~\cite{Wen_review}. At $\nu = 2/3$, the edge states are decomposed into a $\nu_c^{\textrm{edge}}=2/3$ charge mode and a counterpropagating neutr... |
1,108,101,566,130 | arxiv | \section{Introduction}
The determination of the one-body distribution function, which gives the
probability of finding a particle at some given position,with a given
velocity at a given time, is one of the central problems in nonequilibrium
statistical mechanics. Its time-evolution is in many cases well described by
a... |
1,108,101,566,131 | arxiv |
\section{Introduction}
At sufficiently low temperatures
a condensate of weakly interacting bosons can be represented by a single wave function
whose dynamics obeys the Gross-Pitaevskii equation \cite{gross61,pitaevskii61}. The Gross-Pitaevskii equation can be thought of as the Hartree equation for the ground state
... |
1,108,101,566,132 | arxiv | \section{INTRODUCTION}
The Near-Infrared Extragalactic Background Light (NIREBL) is the integrated light of the entire cosmic history in the near infrared. Thus, the origin of the NIREBL is essential to probe the formation and evolution of galaxies from birth to the present Universe. Since current technology limits u... |
1,108,101,566,133 | arxiv | \section{Introduction}
Video Retrieval is one of the most eminent and challenging problems in the digital world today. It is the task of ranking videos in a database based on their relevance to user input queries. While most practical applications use video meta-data to convert the problem into a straight-forward page ... |
1,108,101,566,134 | arxiv | \section{Introduction}
\label{sec:introduction}
The interactions between two baryons have been studied
by two methods in lattice QCD.
The first one is the direct method~\cite{Yamazaki:2015asa,Wagman:2017tmp,Berkowitz:2015eaa},
which extracts the eigenenergies of the ground and/or the excited states
from the temporal c... |
1,108,101,566,135 | arxiv | \section{Introduction and statement of results}
Let $G$ be a totally disconnected,
locally compact topological
group, with neutral element~$e$,
and $\alpha\colon G\to G$ be a continuous
endomorphism.
Then various $\alpha$-invariant
subgroups of~$G$ can be associated
with $\alpha$, which are important for the
structure ... |
1,108,101,566,136 | arxiv | \section{\@startsection{section}{1}{\z@}{3.5ex plus 1ex minus
.2ex}{2.3ex plus .2ex}{\large\bf}}
\def\arabic{section}.{\arabic{section}.}
\def\Roman{section}-\Alph{subsection}.{\Roman{section}-\Alph{subsection}.}
\def#1}{}
\def\FERMILABPub#1{\def#1}{#1}}
\def\ps@headings{\def\@oddfoot{}\def\@evenfoot{}
\def\@oddhead... |
1,108,101,566,137 | arxiv | \section{Introduction}
Recently, there has been huge progress in understanding out-of-equilibrium dynamics in isolated many-body quantum systems, both theoretically and experimentally. Different experimental setups, in particular experiments on ultra cold atoms, can be found in the review article \cite{review} and refe... |
1,108,101,566,138 | arxiv | \section{Introduction}
Human-level intelligence has two remarkable hallmarks: quick learning and slow forgetting. Human can efficiently learn to recognize new concepts from a few of examples without forgetting the prior knowledge. Ideally, the artificial agent should be able to demonstrate the same capabilities, learn... |
1,108,101,566,139 | arxiv | \section*{Appendix \thesection\protect\indent \parbox[t]{11.15cm}{#1}}
\addcontentsline{toc}{section}{Appendix \thesection\ \ \ #1}}
\usepackage{accents}
\newcommand{\dbtilde}[1]{\accentset{\approx}{#1}}
\def{\bf{e}}{{\bf{e}}}
\def{\cal{H}}{{\cal{H}}}
\def{\cal{G}}{{\cal{G}}}
\def{\mathbb{I}}{{\mathbb{I}}}
\def{\ma... |
1,108,101,566,140 | arxiv | \section{Introduction}
The study of higher dimensional branes is an important part of the ongoing quest to understand the structure of superstring theory. It is generally motivated by their possible roles in understanding the string-theoretic origins of entropy, duality symmetries, the AdS/CFT correspondence etc \cite... |
1,108,101,566,141 | arxiv | \section{Introduction}
Since the influential paper of Morris and Thorne\cite{Morris}, one of the
most fascinating features of the theory of general relativity is the
potential existence of space-times with wormholes. It is believed that they
are the short-cut between otherwise distant or unconnected regions of th... |
1,108,101,566,142 | arxiv | \section{Introduction}\label{sec:INT}
Eigenvalues of random matrices form a strongly correlated point process. One manifestation of this fact is the unusually small fluctuation of their
linear statistics making the
eigenvalue process distinctly different from a Poisson point process.
Suppose that the \(n\times n\) ran... |
1,108,101,566,143 | arxiv | \section{Introduction}
The famous $O(3)$ model in two dimensions has various applications in condensed matter
and high energy physics.
From the point of view of gauge field theories,
it is one of the few toy models that exhibits asymptotic freedom
and a dynamical mass generation.
The other main feature of the $O(... |
1,108,101,566,144 | arxiv | \section{Introduction}
We work over the field $\mathbb{C}$ of complex numbers.
Let $X$ be a compact K\"ahler space with only rational singularities.
Given an automorphism $f\in\textup{Aut}(X)$, the \textit{first dynamical degree} $d_1(f)$ is defined as the spectral radius $\rho(f^*)$ of the induced linear operation $f... |
1,108,101,566,145 | arxiv | \section{Introduction}
There is a general consensus that the matter produced at RHIC behaves as a near perfect fluid \cite{perfectfluid}. One of the key findings that led to this interpretation is the strong anisotropic flow of produced hadrons and its description by ideal hydrodynamic simulations \cite{idealhydro}. ... |
1,108,101,566,146 | arxiv | \section{Introduction}
Twisted bilayer graphene (TBG) has emerged as a highly-tunable platform to observe correlated electron behaviour, such as insulating phases or unconventional superconductivity \cite{Cao2018,Cao_Insulator,Yankowitz2019}. By twisting two sheets of graphene by an angle $\theta$, a moir\'{e} pattern ... |
1,108,101,566,147 | arxiv | \section{Introduction}
\label{sec1}
This survey deals with an area in which measure theory is intertwined with combinatorics and asymptotic analysis; its applications to dynamics, algebra, and other problems will be partly touched upon in this paper, as well as in subsequent publications. The survey contains a~lot of ... |
1,108,101,566,148 | arxiv | \section{#1}
\setcounter{equation}{0}
\setcounter{figure}{0}
\setcounter{table}{0}}
\setcounter{page}{1}
\title{Alphabet Sizes of Auxiliary Variables\\ in Canonical Inner Bounds}
\author{Soumya Jana\\
Department of Electrical and Computer engineering\\
University of Illinois at Urbana-Champaign\\... |
1,108,101,566,149 | arxiv | \section{Introduction and standing assumption}
Throughout this paper,
\begin{empheq}[box = \mybluebox]{equation*}
\text{$\mathcal{H}$ is a real Hilbert space}
\end{empheq}
with inner product $\innp{\cdot,\cdot}$ and induced norm $\|\cdot\|$.
We denote by $\mathcal{P}(\mathcal{H})$ the set of all nonempty
subs... |
1,108,101,566,150 | arxiv | \section{Introduction}
\vskip 2mm
In this article, we are mainly concerned with the linear programming problem
with the small noisy data as follows:
\begin{align}
& \min_{x \in \Re^{n}} c^{T}x, \hskip 2mm \text{subject to} \; Ax = b,
\; x \ge 0, \label{LPND}
\end{align}
where $c$ and $x$ are vectors in $\Re^{... |
1,108,101,566,151 | arxiv |
\chapter{Search for unstable sterile neutrinos}
\label{ch:analysis}
\section{Data selection}
This analysis uses a large set of well-reconstructed, upwards-going, high-energy, muon data events. This dataset is assembled using the event selection described briefly in this section. More details on the event selection ca... |
1,108,101,566,152 | arxiv | \section{Introduction}
A graph $G=(V,E)$ is a {\em pairwise compatibility graph} (PCG) if there exists a tree $T$, an edge-weight function $w$ that assigns positive values to the edges of $T$ and two non-negative real numbers $d_{min}$ and $d_{max}$, with $d_{min} \leq d_{max}$, such that each vertex $u \in V$ is un... |
1,108,101,566,153 | arxiv | \section{Introduction \label{sec:introduction}}
LHD inward-shifted configurations are unstable to resistive MHD pressure-gradient-driven modes \cite{1,2}, because the magnetic hill is located near the magnetic axis and they are not stabilized by the magnetic well or the magnetic shear \cite{3}. Previous stability stud... |
1,108,101,566,154 | arxiv | \section{Introduction}
\par
The success of the standard model[1] of quarks and leptons is
impressive. Perhaps the top quark,whose mass was constrained to be
in a narrow range by experiments at LEP, has been discovered at
Fermilab[2]. The weak coupling of
the top quark is predicted
to be almost purely left-handed ... |
1,108,101,566,155 | arxiv | \section*{-1. Introduction}
The contents of this paper are as follows. In Section 0, we sketch one
part of
the
historic background: classical inequalities on determinants
and
permanents of
positive
semi-definite matrices. In Section~\ref{new}, we prove pfaffian and hafnian
versions of these inequalities, and we for... |
1,108,101,566,156 | arxiv | \section{Introduction}
Learning representations for visual correspondence is a long-standing problem in computer vision, which is closely related to many vision tasks including video object tracking, keypoint tracking, and optical flow estimation, \emph{etc}.
This task is challenging due to the factors such as viewp... |
1,108,101,566,157 | arxiv | \section{Introduction}
Consider the space of solutions, $M$, to the equation $F(x)=0$ where $F:\mathbb R^n \rightarrow \mathbb R^m$ is a smooth function. To understand the geometry of $M$ one could start by computing the derivative $DF(x)$. Under suitable regularity conditions (e.g., $DF(x)$ is surjective for all so... |
1,108,101,566,158 | arxiv | \section{Introduction}
It is well-known following Drinfeld\cite{Dri} that the semiclassical object underlying quantum groups are Poisson-Lie groups. This means a Lie group together with a Poisson bracket such that the group product is a Poisson map. The infinitesimal notion of a Poisson-Lie group is a Lie bialgebra, m... |
1,108,101,566,159 | arxiv | \section{Introduction}
While the experiments at RHIC \cite{Muller:2006ee,Adams:2005dq}
advanced the empirical knowledge of the hot QCD matter dramatically,
the understanding of the state of matter that has been formed is
still lacking.
For example, the STAR collaboration's assessment \cite{Adams:2005dq}
of the evid... |
1,108,101,566,160 | arxiv | \section{Introduction}
It is an inherent feature of natural languages that their expressions have
the potential to convey a range of semantic values which their usage
in context will constrain in such a way that some value is eventually
circumscribed and expressed. This is exemplified in the minimal contrast below... |
1,108,101,566,161 | arxiv | \section{Introduction}
Stern's diatomic sequence (defined in Section \ref{CF.5}) stems from the study of continued fractions and has a number of remarkable combinatorial properties, as seen in Northshield \cite{NorthshieldS10}. There are many different multidimensional continued fraction algorithms, and they serve a... |
1,108,101,566,162 | arxiv | \section{Introduction}
It is well known that in the space of dimension higher than two the
many-particle wave function is either
symmetric or antisymmetric under a permutation
group operation; this property leads to the division into the systems of
bosons and fermions, respectively.
As a consequence, the distributi... |
1,108,101,566,163 | arxiv | \section{HEAVY ELEMENT ABUNDANCE DETERMINATION}
\subsection{Ground-based optical observations}
To derive element abundances from the optical spectra, we have followed the
procedure detailed in ITL94 and ITL97. We adopt a two-zone photoionized H II
region model (Stasi\'nska 1990): a high-ionization zone with tempera... |
1,108,101,566,164 | arxiv | \section{Introduction}
The problem of finding the graphs with maximal and minimal energy has been extensively studied for several matrices. For the Adjacency matrix, Gutman \cite{Gutman2} proved the following.
\begin{theorem}
Let $T$ be a tree on $n$ vertices. Then
$$E(S_{n})\leq E(T)\leq E(P_{n}).$$
\end{theorem}
Wher... |
1,108,101,566,165 | arxiv |
\section{Optimal Offline Algorithm }
In this section, we propose an offline algorithm $\mathsf{OFF}$, and show that it satisfies the sufficiency conditions of Theorem \ref{th_algo1_1}.
Algorithm $\mathsf{OFF}$ first finds an initial feasible solution via INIT\_POLICY, and then iteratively improves upon it via PULL\_BA... |
1,108,101,566,166 | arxiv | \section{Introduction}
Common supervised machine learning approaches to extractive
summarisation attempt to label individual text extracts (usually
sentences or phrases; in this paper we will use sentences). In a
subsequent stage, a summary is generated based on the predicted labels
of the individual sentences and o... |
1,108,101,566,167 | arxiv | \section*{}
\section{INTRODUCTION}
In past decades there has been a large amount of discussion regarding the secular evolution of bars
in spiral galaxies. Numerical simulations show that gas inflow, star formation and the subsequent
buildup of a central mass concentration (CMC) can considerably alter the shape of a b... |
1,108,101,566,168 | arxiv | \section{Introduction}
Let $C$ be a hyperelliptic curve defined over the rational field ${\mathbb Q}$ by a hyperelliptic equation of the form $y^2=f(x)$, $\deg f(x)\ge3$. One may construct a sequence of ${\mathbb Q}$-rational points in $C({\mathbb Q})$ such that the $x$-coordinates of these rational points form a seque... |
1,108,101,566,169 | arxiv | \section{Introduction}
The Major Atmospheric Gamma-ray Imaging Cherenkov (MAGIC) telescope,
located on the Canary Island of La Palma at 2200\,m~a.s.l., is capable
of extending very high energy observations to energies previously
unreachable and detecting new sources at energies down to 50\,GeV.
One of these sources ... |
1,108,101,566,170 | arxiv | \section{Introduction}
\subsection{Overview of Euclidean field theory} \label{sec:overview}
A Euclidean field theory of a scalar field on a domain $\Lambda \subset \mathbb{R}^d$ is specified by a formal probability measure on a space of fields\footnote{Rigorously, the space of fields is the Schwartz distribution s... |
1,108,101,566,171 | arxiv | \subsection{$U=0$ limit}
In the case of $U=0$, the $T_U (\mathbf{ k} , \mathbf{ p} ) \rightarrow 0$, the unitarity relation of physical $S$-matrix in Eq.(\ref{phyunit}) is thus reduced to a simple form,
\begin{equation}
\sum_{k_i=\pm p_i} | s_V (\mathbf{ k} , \mathbf{ p} )|^2 =1, \label{sVoptic}
\end{equa... |
1,108,101,566,172 | arxiv | \section{Introduction\label{sec:intro}}
As one of the most important topics in document processing systems, signature verification has become an indispensable issue in modern society~\cite{dey2017signet,zheng2019ranksvm}. Precisely, it plays important role in enhancing security and privacy in various fields, such as fi... |
1,108,101,566,173 | arxiv | \section{INTRODUCTION}\label{sec:intro}
\par
\IEEEPARstart {O}{cupational} stress is well-researched \cite{Carneiro2019} \cite{Can2019a} \cite{Schmidt2018}\cite{Carneiro2017}\cite{Alberdi2016}, though not least due to its pernicious effect on people's health but also due to the economic benefits of keeping in check the... |
1,108,101,566,174 | arxiv | \section{Introduction}
Let $G=(V,E)$ be a graph. For a vertex $v\in V$, let $N_G(v)=\{u\in V
|uv \in E\}$ and $N_G[v] = N_G(v) \cup \{v\}$ denote the
open and closed neighborhoods of $v$, respectively. A set $D\subseteq V$ is
called a \emph{dominating set} of a graph $G=(V,E)$ if $|N_G[v] \cap D| \geq 1$
for all $v \in... |
1,108,101,566,175 | arxiv | \section{Introduction}
Fast radio bursts (FRBs) are intense radio transients with extreme
brightness temperatures that show dispersion relations consistent
with propagation through cold plasma
\citep{Lorimer2007Sci...318..777L, Thornton2013Sci...341...53T,Petroff2016PASA...33...45P}.
Until now, more... |
1,108,101,566,176 | arxiv | \section{Introduction}
The optical response in periodically driven topological systems
is important for the study of the gain and loss mechanism, especially in the many-electron system.
For non-Hermitian system under laser, the conductivity and absorption as well as the scattering are related to the polarization v... |
1,108,101,566,177 | arxiv | \section{Interacting Hopf Algebras: a Complete Axiomatisation of Affine Circuits}
\label{sec:axiomatisation}
This appendix contains the equational theory of affine relations over a field $\field$, called the theory of Affine Interacting Hopf algebras ($\AIH{\field}$), as it appears in~\cite{interactinghopf} (for the l... |
1,108,101,566,178 | arxiv | \section{Introduction}
The calculation of accurate potential energies of molecules and materials at affordable cost is at the heart of computational chemistry.
While state-of-the-art \textit{ab initio} electronic structure theories can yield highly accurate results, they are computationally too expensive for routine a... |
1,108,101,566,179 | arxiv | \section{Introduction}
Fractional D3 branes have played an important r\^ole in extending AdS$_5$/CFT$_4$ dualities to settings where the gauge theory is not scale invariant. Being nothing but D5 branes wrapped on collapsed 2-cycles which exist at Calabi-Yau (CY) threefold conical singularities, they source 3-form flux... |
1,108,101,566,180 | arxiv | \section{Introduction} \label{sec:intro}
Polar codes \cite{arikan} are capacity-achieving linear block codes based on the polarization phenomenon, that makes bit channels either completely noisy or completely noiseless as code length tends to infinity.
While optimal at infinite code length, the error-correction perfo... |
1,108,101,566,181 | arxiv | \subsection{Proof of Theorem}
The proof proceeds in two steps. We first derive the $L_2$ rate of convergence for the bias of the naive estimator and then we derive that of the variance. The approach of the proof closely follows the proof for the $L_2$ rate of convergence of the mean regression function itself found in ... |
1,108,101,566,182 | arxiv | \section{Introduction}
The quest to control electron spin in a solid has continued to date to advance progress in modern information technology~\cite{Wolf2001,Awschalom2007,Waldrop2016}.
A series of potential future spintronic devices have been established, including spin transistors~\cite{Datta1990,Chuang2015}, all-s... |
1,108,101,566,183 | arxiv | \section{Introduction}
\subsection{X-ray QPO in AGN}
Both stellar mass black hole binaries (BHB) and active
galactic nuclei (AGN) are powered by gas accreting onto a central black hole, and
their observational properties are determined primarily by the black hole mass, mass
accretion rate and spin. This relative simpl... |
1,108,101,566,184 | arxiv | \section{Introduction}
Subject to the effects of wind, a flat sandy surface is unstable and
evolves into a regular periodic pattern of wavelength of the order of
10 cm and height of a few centimeters (see Fig. \ref{death-valley})
\cite{bagnold,sharp,hunter1,origin,reineck,hunter2,allen,kocurek,schenk}.
A slight sand a... |
1,108,101,566,185 | arxiv | \section{Introduction}
\section{Introduction}
\label{sec:intro}
Reconnection is aprocess by which electromagnetic energy is transferred to the plasma, heating and accelerating the particles. In a magnetospheric context, this process occurs on the dayside, where closed magnetic flux is opened, and on the nights... |
1,108,101,566,186 | arxiv | \section{Introduction}
State-of-the-art nonlinear spectroscopy techniques finally enable
tracking ultrafast coupled electronic-vibrational motion on its natural timescale, granting unprecedented insight into the quantum-mechanical effects ruling nanoscale physical phenomena~\cite{mukamel2000arpc, jonas2003arpc, cho... |
1,108,101,566,187 | arxiv | \section{Introduction}
\IEEEPARstart{D}{uring} the process of a cascading outage in power systems, the propagation of component failures may cause serious consequences, even catastrophic blackouts \cite{r1,r2}. For the sake of effectively mitigating blackout risk, a naive way is to reduce the probability of blackouts... |
1,108,101,566,188 | arxiv | \section{Introduction}
\label{sec:intro}
The interaction between solid objects and a surrounding fluid is at the heart of many fluid mechanics problems stemming from various fields such as physics, engineering and biology. Among other factors, the behaviour of such fluid-structure interaction systems is critically det... |
1,108,101,566,189 | arxiv | \section{Introduction}\label{S:Intro}
Let $n\geq 2$ be a fixed integer. We write $\mathbb{B}$ for the open unit ball and $\mathbb{S}$ for the unit sphere in $\mathbb{R}^n$. The closure of $\mathbb{B}$, which is the closed unit ball, is denoted by $\bar{\mathbb{B}}$. For any $x=(x_1,\ldots, x_n)$ in $\mathbb{R}^n$, w... |
1,108,101,566,190 | arxiv | \section{Introduction}
Extrasolar Giant Planets (EGPs) are now being discovered at an accelerating pace \citep{schneider,butler}.
In particular, an increasing interest has been focused on hot Jupiters that transit their parent stars,
since they represent a valuable tool to determine key physical parameters of the EGP... |
1,108,101,566,191 | arxiv |
\section{The category of reduced orbifolds}\label{sec_redorbcat}
To define an orbifold category where the objects are orbifolds and the morphisms are equivalence classes of charted orbifold maps we have to answer the following questions:
\begin{enumerate}[(i)]
\item \label{q1} When shall two charted orbifold maps b... |
1,108,101,566,192 | arxiv | \section{Introduction}
Silica (SiO$_2$), a key constituent of Earth, terrestrial (``rocky'') and even giant planets, is an important compound for theory, basic science and technology, including as a laboratory standard for high-energy-density (HED) experiments. Its response to dynamic compression helps to determine i... |
1,108,101,566,193 | arxiv | \section{Introduction}
Much of the theory of random processes has been driven by the study of evolving physical systems that clearly either have no memory, or can be assumed forgetful to a good approximation. This leads naturally to models that require the Markov property in one of its forms. However, many real-worl... |
1,108,101,566,194 | arxiv | \section{Introduction}
Risk averse variants of Dynamic Programming are widely studied. Our work is very close to \cite{ruszczynski2010risk} who, for a very similar setting, proves the convergence of the Value Iteration algorithm. The contribution of our work is two-fold. First, instead of complicated axiomatic definiti... |
1,108,101,566,195 | arxiv | \subsection{Defining the Path Integral}
The transition element to be analyzed in the remainder of this paper is
given in its one-dimensional form by
\begin{equation}
\label{one} W_{fi} =
\langle \, p_f \, | \exp \left ( - i \hat{H} T / \hbar \right ) |
\, q_i \, \rangle \, .
\end{equation}
The final state, $| \, p_f \... |
1,108,101,566,196 | arxiv | \section{Introduction}
Consider the existence and uniqueness of classical solutions for the Dirichlet problem
\begin{equation}\label{w1}
\left\{\begin{array}{ll}
a\, \mbox{div} \dfrac{Du}{\sqrt{1+|Du|^2}} +b\, \dfrac{\mbox{det} D^2u}{(1+|Du|^2)^2}=\phi\left(\dfrac{1}{\sqrt{1+|Du|^2}}\right), & \mbox{in $\Omega$}\\
u=0... |
1,108,101,566,197 | arxiv | \section{Introduction}
Quantum data locking (QDL) is a uniquely quantum protocol that provides one of the strongest
violations of classical information theory in the quantum setting~\cite{QDL}.
In QDL the knowledge of a relatively short key of constant size allows one to (un)lock an
arbitrarily long message encoded i... |
1,108,101,566,198 | arxiv |
\subsubsection*{\bibname}}
\newtheorem{theorem}{Theorem}
\newtheorem{corollary}{Corollary}
\newtheorem{lemma}{Lemma}
\input{./macros.tex}
\begin{document}
\twocolumn[
\aistatstitle{Algorithms for the Communication of Samples}
\aistatsauthor{Lucas Theis \And Noureldin Yosri}
\aistatsaddress{Google \And G... |
1,108,101,566,199 | arxiv | \section{Introduction}
Since the pioneering works of Bahcall \& Soneira (\cite{bah}) and Gilmore \&
Reid (\cite{gil83}), the comparison with deep star counts has been a primary
method to disentangle the stellar components of the Milky Way. However, the
number of parameters and the observational uncertainties involved i... |
1,108,101,566,200 | arxiv | \section{Introduction} \label{sec:intro}
Two ways are currently known to form planetesimals in the solar nebula or more generally in a protoplanetary disk.
Either pebbles grow via sticking collisions to larger and larger bodies, which can probably only be achieved for very fluffy ice grains, otherwise fragmentation, bo... |
1,108,101,566,201 | arxiv | \section{Introduction}
As the byproducts of Shor's factoring algorithm \cite{shor} and Grover's searching algorithm \cite{grover96},
the quantum phase estimation algorithm \cite{kitaev} and amplitude amplification technique \cite{brassard-Amplitude-Amplification}
play important roles in many quantum algorithms develop... |
1,108,101,566,202 | arxiv | \section{Introduction}
\begin{figure}[t]
\centering
\includegraphics[width=0.95\linewidth]{image/XLM-RA}
\caption{The XeroAligned XLM-R model (called XLM-RA) for cross-lingual NLU. The XeroAlign loss is added to the otherwise unaltered training to encourage the sentence embeddings in different languages to be simil... |
1,108,101,566,203 | arxiv | \section{Introduction}
A system of polynomial equations is called \emph{partition regular} if every finite colouring of the positive integers admits monochromatic non-constant\footnote{A solution $(x_{1},\ldots,x_{s})$ is \emph{non-constant} if $x_i\neq x_j$ holds for some $i\neq j$.} solutions to the system.\footno... |
1,108,101,566,204 | arxiv | \section{Introduction}
Let $p$ be a prime integer, and $q$ a power of $p$. We work over an algebraically closed field $\Bbbk$ of charcteristic $p$. We consider a plane curve $C$ of degree $q^2+q+1$ defined by a homogeneous polynomial of the form
\begin{equation}
F=\sum_{i,j,k} a_{ijk} x_i x_j ^q x_k ^{q^2},\label{1... |
1,108,101,566,205 | arxiv | \section{Introduction}
Reflected stochastic differential equations have been introduced in the
pionneering work of Skorokhod (see \cite{Sko61}), and their numerical approximations by Euler
schemes have been widely studied (see \cite{Slo94}, \cite{Slo01},
\cite{Lep95}, \cite{Pet95}, \cite{Pet97}). Reflected stochastic... |
1,108,101,566,206 | arxiv |
\section{Motivation}
Grand Unified Theories (GUTs) of quarks and leptons have played an
important role for almost 40 years in theoretical attempts to
make sense of the apparent group structure and mass spectra of
the quark and lepton matter fields and coupling strengths of the
gauge and Higgs fields observed in... |
1,108,101,566,207 | arxiv | \section{Introduction}
Eventhough the word {\em scattering} appears to imply
{\em transport},
studies of Helmholtz
scatterers have shown effects of {\em trapped} periodic orbits
\cite{Predrag}. As there is nothing particular about the Helmholtz
equation,
similar effects are expected for wave equations for other med... |
1,108,101,566,208 | arxiv | \section{Introduction}\label{intro1}
It all boils down to the following elementary inequality named after W. H. Young: if $p>1$ and $1/p+1/q=1$, then for any $\alpha,\beta\in\mathbb R^+$,
$$\alpha\beta\le \frac{1}{p}\alpha^p+\frac{1}{q}\beta^q
$$
with equality if and only if $\alpha^p=\beta^q$.
\medskip
Operator... |
1,108,101,566,209 | arxiv | \section{Introduction}
Low density nuclear matter tends to be much more interesting than
a simple zero density limit of the bulk physics of nuclei.
Indeed, new phenomena show up and are mainly associated with the
formation of bound states or with the emergence of strong
correlations~\cite{bal04,sed03,bro00,bar06,hor... |
1,108,101,566,210 | arxiv | \section{Introduction}
The major goal of statistical mechanics is to explain the macroscopic properties of complex systems in terms of a very small number of parameters by using probabilistic approaches. As is well known, its primary motivation was the study of thermodynamical properties of matter based on random beh... |
1,108,101,566,211 | arxiv | \section{Introduction}
Bitcoin is widely used, with a current market capitalization of over 120 billion USD.
Given the massive level of economic activity and the potential for future growth, it is natural to ask:
how confident can we be in the security and reliability of this system and its variants?
While practical e... |
1,108,101,566,212 | arxiv | \section{Introduction}
The present study deals with an empirical analysis and mapping of Swiss franc (CHF) interest rates (IR). The complete empirical analysis includes comprehensive quantitative analysis and characterisation of daily behaviour of CHF interest rates from October 1998 to December 2005. A mapping part of... |
1,108,101,566,213 | arxiv | \section{Motivations, metric problem and overview of past and new results}
\label{sec:intro}
This paper continues the related work \cite{bright2021easily}, which provided practical motivations for a metric map of the Lattice Isometry Space and then focused on 2-dimensional lattices.
Briefly, since crystal structures a... |
1,108,101,566,214 | arxiv | \section{Introduction}
The ESA gamma-ray observatory INTEGRAL \citep{winkler03} is dedicated to the
fine spectroscopy (2.5 keV FWHM @ 1 MeV) and fine
imaging (angular resolution: 12 arcmin FWHM) of celestial gamma-ray
sources in the energy range 15 keV to 10 MeV with concurrent source
monitoring in the X-ray (3-35 ... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.