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1,116,691,498,115 | arxiv | \section{Introduction}
The study of trace spaces (on the boundary of a domain) for Sobolev spaces on Euclidean domains is associated with the Dirichlet boundary value problem related to elliptic differential equations. Certain types of Dirichlet problems are guaranteed to have solutions when the boundary data arise... |
1,116,691,498,116 | arxiv | \section{Introduction}
In the celebrated Kondo problem, a seemingly innocuous magnetic impurity coupled to a band of itinerant electrons gives rise to an infrared logarithmic divergence in not only resistivity but also almost all thermodynamic and kinetic properties \cite{kondo,hewson}. To interpret this logarithmic... |
1,116,691,498,117 | arxiv | \section{Introduction}
The pipeline architecture is known for a very long time and used to increase
the throughput of digital blocks\wzcite{Hallin1972880}. This concept has been also
early adopted to signal or data processing systems implemented in FPGA\wzcite{614780}.
The pipeline architecture allows to increase t... |
1,116,691,498,118 | arxiv |
\section{Discussion and Future Directions}\label{sec:discussion}
Over the past two decades, the field of {\sc nlg} has advanced considerably, and many of these recent advances have not been covered in a comprehensive survey yet. This paper has sought to address this gap, with the following goals:
\begin{enumerate}
\... |
1,116,691,498,119 | arxiv | \section{Introduction}
Although much has been learnt from the study of Galactic classical
novae (CNe), it is clear that Galactic data are not ideal for
establishing the population characteristics of novae because these
data are often heavily biased by selection effects. To-date no RNe
have been identified outside the... |
1,116,691,498,120 | arxiv | \section{Introduction}
\label{sec:introduction}
Predictions for structure functions in deep-inelastic scattering (DIS)
including perturbative corrections in Quantum Chromodynamics (QCD)
have recently been advanced to an unprecedented level of precision
over a wide kinematical region of Bjorken $x$ and $Q^2 = -q^2$, ... |
1,116,691,498,121 | arxiv | \section*{\bf 1 Introduction}
\end{center}
$$ $$
When, in a gauge theory, the local generators of gauge
transformations are reducible, the quantization rules
are known only in the case where the reducibility has
a finite number of stages [1]. The case of infinite
reducibility is also of interest [1-4] but in this
... |
1,116,691,498,122 | arxiv | \section{Introduction\label{sec:intro}}
The partially filled 5$f$ electronic shell exhibits itinerant-localized dual nature which remains a long-standing issue in condensed matter physics~\cite{LAReview}. The itinerant 5$f$ states embodied by the noticeable hybridization with conduction bands and the localization degr... |
1,116,691,498,123 | arxiv | \section{Introduction}
Solar irradiance varies on short timescales from minutes to hours as well as long time scales of days, years, decades and beyond. The variations at the different time scales originate from different processes in the solar atmosphere. The short time scales - other than reconnection processes such ... |
1,116,691,498,124 | arxiv | \section{Introduction} \label{sec:intro}
The ongoing Karl G. Jansky Very Large Array (VLA) Sky Survey \citep[VLASS;][]{VLASS} is the first radio all-sky survey that is sensitive to several classes of slowly evolving extragalactic radio transients, including flares from active galactic nuclei (AGN), core-collapse ... |
1,116,691,498,125 | arxiv | \section{Introduction}
Classification of C*-algebras is a research programme initiated by the work of Glimm, Dixmier, Bratteli and Elliott. After some recent breakthroughs, the combination of work of many many mathematicians over several decades has culminated in the complete classification of unital separable simple ... |
1,116,691,498,126 | arxiv | \section{Introduction}
When studying stellar nucleosynthesis and chemical enrichment, it is
difficult to optically distinguish between isotopes of a given element,
since their atomic lines are blended. However, microwave lines from rare
isotopic substitutions of a given molecular species, so-called
``isotopologues'... |
1,116,691,498,127 | arxiv | \section{Introduction}
Supersymmetry (SUSY) provides an elegant solution to naturally resolve the gauge hierarchy problem
within the Standard Model (SM), and presuming $R$ parity conservation, the lightest supersymmetric
particle (LSP) neutralino serves as a viable cold dark matter (CDM)
candidate~\cite{Goldberg:1983n... |
1,116,691,498,128 | arxiv | \section*{Introduction}
One of the reasons that $C^*$-algebras are so well studied is that
they have a very deep representation theory. Understanding the
spectrum or primitive ideal space of a $C^*$-algebra, and in
particular the topology on these spaces, can reveal a great deal of
information about the underlying al... |
1,116,691,498,129 | arxiv | \section{Introduction}
Quantum Phase Estimation (QPE) plays a core role in many quantum algorithms \cite{Hallgren:02, Shor:94, Shor:05, Szegedy:04, WCNA:09}.
Some interesting algebraic and theoretic problems can be addressed by QPE, such as
prime factorization \cite{Shor:94}, discrete-log finding \cite{Shor:05}, ... |
1,116,691,498,130 | arxiv | \section{Introduction}
An important problem in the social sciences is estimating the effect of a discrete intervention on a continuous outcome over time. When interventions take place at an aggregate level (e.g., a state), researchers make causal inferences by comparing the post-intervention (``post-period'') outcome... |
1,116,691,498,131 | arxiv |
\section{General Overview}
The \aipcls{} is a \LaTeXe{} document class for conference proceedings
of the American Institute of Physics and other documents with similar
layout requirements. Your file will be used to reproduce
your paper as is, the only modifications done by the publisher are
adding appropriate page n... |
1,116,691,498,132 | arxiv | \section{Introduction}
Cataclysmic Variables are at the low mass end of objects known as Interactive Binaries,
where the primary, more massive and accreting component is a White Dwarf. The secondary
is a pre-main sequence late type star that fills its Roche lobe and loses matter through the
inner Lagrangian point... |
1,116,691,498,133 | arxiv | \section{Introduction}
In Part I (Sekanina \& Kracht 2017; hereafter Paper~1) the orbit of comet C/1995
O1 was determined from astrometric observations covering an arc of 17.6~yr; the
conditions were examined that existed at the time of a predicted close encounter
with Jupiter on $-$2251 November 7; a correlation was e... |
1,116,691,498,134 | arxiv | \section{\label{sec:intro}Introduction}
------------------------------------------------------------------------------------------------
Perovskite transition-metal oxides challenge electronic structure
theory since several decades, due to the variety of collective
structural, electronic, and magnetic phenomena w... |
1,116,691,498,135 | arxiv |
\section{Introduction}
\label{introduction}
In recent years, model-free deep reinforcement learning (RL) algorithms have demonstrated the capacity to learn sophisticated behavior in complex environments. Starting with Deep Q-Networks (DQN) achieving human-level performance on Atari games \cite{DBLP:journals/corr/Mnih... |
1,116,691,498,136 | arxiv |
\section{Introduction}
In non-parametric classification, we are given a \emph{training set} \ensuremath{P}\xspace consisting of $n$ points in a metric space $(\metricSet,\metricFunc)$\xspace, with domain $\mathcal{X}$ and distance function $\textup{\textsf{d}}: \mathcal{X}^2 \rightarrow \mathbb{R}^{+}$.
Additionally,... |
1,116,691,498,137 | arxiv | \section{Introduction}
\label{sec:Intro}
The application of neural networks (NNs) as approximation architecture
in numerical solution methods of partial differential equations (PDEs),
possibly on high-dimensional parameter- and state-spaces,
has attracted significant and increasing attention in recent years.
We mention... |
1,116,691,498,138 | arxiv | \section{Introduction}
In this paper we study admissible extensions of several theories $T$ of reverse mathematics. The idea is that in such an extension the structure $\mathfrak{M} =(\mathbb{N},\mathbb{S},\in)$ of the natural numbers and collection of sets of natural numbers $\mathbb{S}$ has to obey the axioms of $T$... |
1,116,691,498,139 | arxiv | \section{Introduction}
Conformal field theories (CFTs) play an important role in many aspects of theoretical physics, from the concrete study of physical systems at criticality to abstract problems in mathematical physics. Although some CFTs can be given a weakly coupled description, the most interesting and commonly ... |
1,116,691,498,140 | arxiv | \section{Introduction}
\label{intro}
The cosmological constant, $\Lambda$, an essential ingredient of the theory of general relativity (GR) \cite{Einstein1917As}, was guided by the idea that the evolution of the Universe should be static \cite{Tawfik:2011mw,Tawfik:2008cd}. This model was subsequently refuted and acco... |
1,116,691,498,141 | arxiv |
\section{Compactness of the operators $T_1$ and $T_2$}\label{T_1-compact}
Here we use notations from the algorithm of Subsection \ref{Alg_statement} to prove the compactness of the operator $T_j$ given by equation (\ref{T_j}) for $j=1, 2$.
The proof requires several steps. Let us first prove that the operator $T_1$... |
1,116,691,498,142 | arxiv | \section{Introduction and Physics motivation}
The charmless hadronic decay $B_s^0 \rightarrow \eta^\prime \eta$ is suppressed in the Standard Model (SM)
and
proceeds only through transitions
sensitive to Beyond-the-Standard-Model (BSM) physics~\cite{Bevan:2014iga}.
BSM scenarios,
such as a fourth generation ... |
1,116,691,498,143 | arxiv | \section{Introduction}
Humans are able to understand a very large variety of complex actions performed by others. Automatic monitoring of human actions is, on the other hand, a long-standing and challenging problem in computer vision. In the literature, one finds substantial efforts along the lines of temporal seg... |
1,116,691,498,144 | arxiv | \section{Introduction}
In the last decades the searches for a dark matter (DM) signal from
the Sun were performed looking for possible excesses of neutrinos
or gamma-rays associated with the Sun's direction. However, as it
was noted in Ref.~\cite{Schuster:2009fc},
several DM models that have been recently develope... |
1,116,691,498,145 | arxiv | \section{Introduction}
\label{sec:Introduction}
In this article, we present predictions for mass-loss rates and velocity structures
for a grid of $\textrm{O}$-type stars, using two distinct methods for solving the wind
dynamics.
Mass loss forms an integral aspect characterizing massive $\textrm{O}$-type stars.
Be... |
1,116,691,498,146 | arxiv | \section{Introduction}
Forces developed by contracting skeletal muscle depend on the structure and geometry of the contracting fascicles, and their interaction with the surrounding connective tissues. Recent studies have highlighted the complexity of the internal structure of the muscles in 3D, and the changes to this ... |
1,116,691,498,147 | arxiv | \section{Introduction}
\label{sec:two}
Microlensing constitutes one of the major methods to detect and characterize
extrasolar planets \citep{mao91, gould92a}. The method is sensitive to
planets that are difficult to be detected by using other methods such
as cool planets at or beyond the snow line \citep{bond04, g... |
1,116,691,498,148 | arxiv | \section{Introduction}
In this paper, we study regularity properties of induced cost (under several criteria) on a controlled diffusion process with respect to a control topology defined by Borkar \cite{Bor89}, and implications of these properties on existence and, in particular, approximations for optimal controlled ... |
1,116,691,498,149 | arxiv | \section{Introduction}
\label{s:intro}
Patients with chronic kidney disease (CKD) are at increased risk of end stage renal disease (ESRD). Accurate prediction of the timing is of great importance in clinical research and practice to facilitate preparation for renal replacement therapy and individualize clinical decisi... |
1,116,691,498,150 | arxiv | \section{Model and Simulation Results}
Though the previous work found that the replotted road
networks of cities have scale-free characteristics \cite{Rosvall},
there is no well-accepted model for these networks up to now.
Without losing generality, our simulation starts from generating
the urban transportation networ... |
1,116,691,498,151 | arxiv | \section{Introduction}\label{sec:intro}
The existence of strong electron correlations (SEC), due to the significant Coulomb interaction of holes in $d_{x^2-y^2}$-orbitals of copper ions, essentially complicates the study of low-temperature properties of cuprate high-temperature superconductors (HTSC). On the other han... |
1,116,691,498,152 | arxiv | \section{Introduction}\label{int}
In the paper \cite{SM} Smilansky suggested a mathematical model
which he called "The irreversible quantum graph". In this model a
one-dimensional quantum graph interacts with a finite system of
harmonic oscillators attached at different points of the graph.
Regardless of the physical... |
1,116,691,498,153 | arxiv | \section{Introduction and Related Work}
A tremendous amount of recent research has focused on approaches towards generating responses for conversations in an open-domain setting \cite{radford2019language,xing2018hierarchical,wolf2019transfertransfo}. An equally challenging task for natural language generation systems ... |
1,116,691,498,154 | arxiv | \section{Introduction}
We consider timelike maximal surfaces in a three dimensional vacuum spacetime $({\mycal M}^{1 + 2},{\mathfrak{g}})$. These surfaces are usually referred to as relativistic strings in the literature.
The case of non-compact timelike maximal graphs in Minkowski spacetimes ${\mathbb R}^{1 + n}$ i... |
1,116,691,498,155 | arxiv | \section{Introduction}
Structure models of quasicrystals are usually based on the
asumption of either energetical or entropical stabilization of
the material. Random tilings as possible structure models
of the second kind where proposed \cite{Elser} soon after
the discovery of quasicrystals and studied thoroughly s... |
1,116,691,498,156 | arxiv |
\section{Introduction}
\input{acl2023.bbl}
\bibliographystyle{acl_natbib}
\clearpage
\section{Appendix}
\begin{table*}[htb]
\newcolumntype{?}{!{\vrule width 1pt}}
\newcolumntype{C}{>{\centering\arraybackslash}p{40em}}
\centering
\renewcommand\arraystretch{1.0}
\small
\scalebox{0.95}{
\be... |
1,116,691,498,157 | arxiv | \section{Introduction}
Still growing interest in extremal black holes is motivated by
their unusual and not fully understood nature. The problems of
entropy, semiclassical configurations, interactions with matter,
and information paradox have not been resolved completely. Apart
from their global structure and behav... |
1,116,691,498,158 | arxiv | \section{Introduction}
The tunneling decay of particles trapped in an external potential $V(\vec{x})$ is a problem often encountered in nuclear, atomic and molecular physics. The most famous example is arguably the
alpha decay of nuclei for which Gamow calculated the decay rates semiclassically \cite{Gamo28}.
For a ... |
1,116,691,498,159 | arxiv | \section{ Introduction} In this paper we discuss the explicit formulas for the solution of the following singular generalized heat and wave equations on the Euclidian space $R^n$:\\
$$ \left \{\begin{array}{cc}\left(\frac{\partial}{\partial t}+\frac{k}{t}\right)
u(t,X)=\Delta u(t,X);(t,X)\in \R^\ast_+\times R^n\\ u(... |
1,116,691,498,160 | arxiv | \section*{Checklist}
\newpage
\section{Introduction}
Graph Neural Networks (GNNs)~\citep{DBLP:conf/iclr/KipfW17, DBLP:conf/iclr/VelickovicCCRLB18, NEURIPS2018_53f0d7c5} have achieved great practical successes in many real-world applications, such as chemistry \citep{pires2015pkcsm}, molecular biology \cit... |
1,116,691,498,161 | arxiv | \section{Introduction}\label{intro}
Towards the end of the introduction of \cite{hrushovski:kazhdan:integration:vf} three hopes for the future of the theory of motivic integration are mentioned. We propose to investigate one of them in a series of papers: additive invariants and integration in $o$\nobreakdash-minimal... |
1,116,691,498,162 | arxiv | \section*{ABSTRACT}
The Cosmic Neutrinos Background (\textbf{CNB}) are Primordial
Neutrinos decoupled when the Universe was very young. Its
detection is complicated, especially if we take into account neutrino mass
and a possible breaking of Lorentz Invariance at high energy, but has a
fundamental relevance to study t... |
1,116,691,498,163 | arxiv | \section{Introduction}
In April 2019 the \textit{Criminal Code Amendment (Sharing of Abhorrent Violent Material) Act 2019} (Cth) criminalised the failure to report and/or remove Australian-related Abhorrent Violent Material (AVM)\footnote{``the most egregious, violent audio, visual material perpetrated by the perpetrat... |
1,116,691,498,164 | arxiv | \section{Introduction}
The coherent transfer of quantum states between light and atoms has
been the subject of much research, both experimentally and
theoretically, motivated by potential applications in quantum
computing, quantum cryptography and teleportation. While the
transfer of quantum states from light to a sing... |
1,116,691,498,165 | arxiv |
\section{Band structure of the spin filter using micropillars of different diameters}
In this section, we consider micropillars of two different diameters to construct the honeycomb lattice. In the considered system two types of micropilars have different mode localization energies due to their different diameters, wh... |
1,116,691,498,166 | arxiv | \section{Introduction}
\label{sec:Introduction}
The solution of the linear Boltzmann equation (LBE) is computationally expensive due to its high dimensionality. Studies of
numerical techniques focus mostly on the steady mono-energetic form being the building block for more complex cases.
Discretization is generally pe... |
1,116,691,498,167 | arxiv | \section{Implementation Details}
\label{appendix:implementation}
\begin{table*}[t]
\centering
\caption{Hypeparameter specifications.}
\begin{tabular}{ccccccccccc}
\toprule
Dataset & \(p_{e,1}\) & \(p_{e,2}\) & \(p_{f,1}\) & \(p_{f,2}\) & \(p_\tau\) & \(\tau\) & \makecell{Learning\\rate} & \makecell{Training\\e... |
1,116,691,498,168 | arxiv | \section*{Supplementary Material}
\subsection{The dielectric constant}
Here we elaborate on the understanding of the dielectric constant $\epsilon_c$. In BKT theory, the vortex system is descibed by the Hamiltonian
\begin{eqnarray}
\frac{{\cal H}_v}{k_BT}=&-&\pi K\int d^2{\mathbf r} \int d^2{\mathbf r'}n(\mathbf r... |
1,116,691,498,169 | arxiv | \section{Introduction}
\label{sec:intro}
Determining cloud coverage over a specific location at a given time plays an important role in forecasting key weather related parameters like rainfall, humidity, and solar irradiance~\cite{ma2018application}. Additionally, exact spread of the clouds has been proven to affect t... |
1,116,691,498,170 | arxiv | \section{Introduction}
Neutron stars observed in nature are magnetized objects with the
magnetic field strength at the surface in the range of
$10^{9}$-$10^{13}$~G~\cite{LGS}. For a special class of neutron
stars such as soft gamma-ray repeaters and anomalous X-ray
pulsars, the field strength can be much larger and ... |
1,116,691,498,171 | arxiv | \section{Introduction}
Performing real-world tasks such as cooking meals or assembling furniture requires an agent to determine long-term strategies. This is often formulated as a \emph{planning} problem.
In traditional AI literature, symbolic planners have shown remarkable capability in solving high-level reasoning pr... |
1,116,691,498,172 | arxiv | \section{Introduction}
The study of the dynamics of self-gravitating systems began with
the pioneering work by Jeans \cite{Jeans1929}, who showed that,
within the framework of the Euler equations with a gravitational
potential obeying the Poisson equation, perturbations with the
wavelength $\lambda$ greater than... |
1,116,691,498,173 | arxiv | \section{Introduction}
Bilayer graphene\cite{novoselov2005,novoselov2006,mccann2006,guinea2006,latil2006,partoens2006,partoens2007,koshino2009} has been intensely studied in the last few years, mainly due to the tunability of its band-gap
by an electric field.
The two layers can be oriented differently, but what is m... |
1,116,691,498,174 | arxiv | \subsection{Introduction}
In the past decade, precision experiments of ultracold quantum gases at unitarity have enabled the study of transport phenomena in strongly coupled systems \cite{2004PhRvA..70e1401K,2007PhRvL..98q0401J,2008PhRvA..78e3609R,Cao:2010wa,Vogt:2011np,2012Sci...335..563K}. Usually, transport phenome... |
1,116,691,498,175 | arxiv | \section{Introduction}
The two prevalent themes in auction theory are revenue maximization for seller - referred to as \textit{optimality}, and social welfare maximization - referred to as \textit{efficiency}. For example, $\text{VCG \cite{Clarke71,Groves73,Vickrey61}}$ is the most widely studied efficient auction, wh... |
1,116,691,498,176 | arxiv | \section{Introduction}
Visual object tracking, which tracks a specified target in a changing video sequence automatically, is a fundamental problem in many aspects such as visual analytics \cite{c5}, automatic driving \cite{c6}, pose estimation \cite{c8} and et al. On the one hand, a core problem of tracking is how to... |
1,116,691,498,177 | arxiv | \section{Introduction}
The single-particle momentum distribution plays an important role in our understanding
of the ground-state properties of quantum many-particle systems~\cite{si.so.89,west.75}. It
is defined as the average number of particles with momentum {\bf k} in an N-particle system,
$n({\bf k})=\langle \Psi... |
1,116,691,498,178 | arxiv | \section{Historical review and methodology.}
The one of the question which naturaly appears in all algebraic studies, is
the question of the classification (up to isomorphism) of the algebraic
objects from some class. One of the classical example of this kind of
results is the classification of the semisimple finite d... |
1,116,691,498,179 | arxiv | \section{Introduction}
\label{sec:Introd}
The associated Legendre functions are an important class of special
functions that appear in a wide range of problems of mathematical physics.
The physical importance of these functions is related to the fact that they
appear as solutions of the field theory equations in vari... |
1,116,691,498,180 | arxiv | \section{Introduction}
The subject of open quantum systems has undergone substantial growth in the
last three decades, starting with contributions to the field of fundamental
quantum physics with the aim of understanding the process of decoherence.
Based on the von Neumann approach to the reduction of the state v... |
1,116,691,498,181 | arxiv | \section{Introduction}
\label{S_introduction}
\noindent Outflows, produced by Active Galactic Nuclei (AGNs) and intense episodes of star-formation, have been proposed to play a crucial role in regulating the built up of stellar mass and black-hole mass growth through negative and positive feedback (see e.g. \citealt{K... |
1,116,691,498,182 | arxiv | \section*{References}%
\begin{quotation}\mbox{}\par}
\def\refer#1\par{{\setlength{\parindent}{-\leftmargin}\indent#1\par}}
\def\end{quotation}{\end{quotation}}
{\noindent\small{\bf Abstract:}
The complexity of composite spectra of close binaries makes the study of the individual stellar
spectra extremely difficult. For... |
1,116,691,498,183 | arxiv | \section{Introduction}
Linear quadratic (LQ) stochastic games have attracted a great deal of attention in the control and related community due to its wide applicability in stochastic control, minimax control, multi-agent systems and economics \cite{basar1995dynamic}, \cite{engwerda2005lq}, \cite{foley1971class}, \ci... |
1,116,691,498,184 | arxiv | \section{Introduction}
The structure of nuclei far from stability is of primary interest within low-energy nuclear physics. The Nuclear Shell Model has long been established as the backbone of isotopic structure, correctly reproducing the canonical magic numbers ($N,Z = 2,8,20,28,50,82$) for protons and neutrons for s... |
1,116,691,498,185 | arxiv | \section{Introduction}
Toxic comment detection on social media has proven to be essential for content moderation. According to the French Minister of Education, 18\% of French students were victims of harassment on social networks in 2021. At the same time, the number of posts on these platforms has been increasing. I... |
1,116,691,498,186 | arxiv | \section{Experimental}
Polycrystalline samples of (Fe$_{1-x}$Co$_{x}$)$_{3}$Mo$_{3}$N, where $0 \le x \le 1$, were synthesized by a solid-state reaction of a mixture of transition metal oxides in a H$_{2}$-N$_{2}$ mixed gas stream \cite{Prior}.
Fe$_{2}$O$_{3}$, Co$_{3}$O$_{4}$, and MoO$_{3}$ were mixed in a molar ratio... |
1,116,691,498,187 | arxiv | \section{Introduction}
Selection of a suitable loss function is crucial in order to train a neural network for a desired task. For a given neural network architecture \cite{resnet,vgg} and optimization procedure \cite{kingma2014adam}, the profile of the loss function largely governs what is learnt by the neural network... |
1,116,691,498,188 | arxiv |
\section{Introduction}
\label{sec:introduction}
In the standard $\Lambda$CDM cosmological model, the formation of the first stars occurred in the redshift range $30 \gtrsim z \gtrsim 20$ (\citealt{BL01, Miralda_E_2003, Bromm_Yoshida_2011, Stacy_2014, Hummel_2014}, for a recent and extensive review see also \citealt{Br... |
1,116,691,498,189 | arxiv | \section{Introduction}
\label{Introduction}
The regulation of star formation in galaxies and building-up of their stellar mass are hot topics and major unresolved issues in the research of the galaxy formation and evolution. Galactic scale winds in cooperation with the gas feeding and the star formation efficiency are ... |
1,116,691,498,190 | arxiv | \section{Introduction}
Much efforts have been devoted to the study of high Reynolds number
turbulence, assuming the properties of local homogeneity and isotropy.
Under these assumptions it has been shown~\cite{mon71} that, in
between the integral scale at which energy is fed into the flow and
the dissipative scale at w... |
1,116,691,498,191 | arxiv | \section{Commutative origins}
Henry Helson is known for his work in harmonic analysis, function theory, invariant subspaces
and related areas
of commutative functional analysis. I don't know the extent to which Henry realized, however, that some of his
early work inspired significant developments in noncommutat... |
1,116,691,498,192 | arxiv | \section{Introduction}\label{intro}
Asteroids are small rocky bodies left over from the planet formation era.
Although their internal structure is not well constrained, the images of a handful of
asteroids have provided us with the clues to the origins of their surface features
\cite[e.g.,][]{Asphaug2002ASTE,Chapman2... |
1,116,691,498,193 | arxiv | \section{Introduction}
\label{sec:intro}
The \emph{(directed) Bruhat graph} $\widehat{\Gamma}$ of a Coxeter group $W$ is the directed graph with vertex set $W$ and directed edges $w \to wt$ whenever $\ell(wt)>\ell(w)$; we write $\widehat{\Gamma}(u,v)$ for its restriction to a Bruhat interval $[u,v] \subset W$. These g... |
1,116,691,498,194 | arxiv | \section{Introduction}
The ``biological impossibility'' of reprogramming adult somatic cells to the pluripotent state had been accepted as a dogma for a long time in biology~\cite{Solter:84}. This view was radically changed by the work of John B. Gurdon in 1962 who showed that a nucleus from a fully differentiated fro... |
1,116,691,498,195 | arxiv | \section{Introduction}
One of the essential results in probability theory on groups is Kesten's theorem \cite{Kesten}: the probability of return to identity of a random walk on a group $\Gamma$ decreases exponentially fast if and only if $\Gamma$ is non amenable.
A natural question is to extend this to other su... |
1,116,691,498,196 | arxiv | \section{Introduction}
We suppose that the data-generating process $X$ is defined on the stochastic basis $(\Omega, \mathcal{F}, \mathcal{F}_t, P)$ and it is the solution of the one-dimensional stochastic differential equation written as:
\begin{equation}\label{yu:tmodel}
dX_t=A(X_t)dt+C(X_{t-})dZ_t,
\end{equation}
w... |
1,116,691,498,197 | arxiv | \section{Introduction}
Community Question Answering (CQA) platforms, such as Quora\footnote{\url{https://www.quora.com}}, Yahoo! Answers\footnote{\url{https://answers.yahoo.com}}, and Stack Overflow\footnote{\url{https://www.stackoverflow.com}}, are Internet-based crowdsourcing services which enable users to post ques... |
1,116,691,498,198 | arxiv | \section*{Abstract}
We prove several results about the complexity of the role colouring problem. A {\em role colouring} of a graph $G$ is an assignment of colours to the vertices of $G$ such that two vertices of the same colour have identical sets of colours in their neighbourhoods. We show that the problem of finding ... |
1,116,691,498,199 | arxiv | \section{Introduction}
We investigate the time-periodic Navier-Stokes equations with a non-zero drift term in the three-dimensional whole-space. More specifically, we consider
the system
\begin{align}\label{intro_nspastbodywholespace}
\begin{pdeq}
&\partial_t\uvel -\Delta\uvel -\rey\partial_1\uvel + \grad\upres... |
1,116,691,498,200 | arxiv | \section{Introduction}
\label{sec:intro}
In today's modern society, catalysts are widely used in the industrial
sectors such as petroleum refining, fuel cells, chemical intermediates,
pharmaceuticals, reduction of emission, and agrochemicals to increase
the reaction rate of the desired chemical reaction\cite{zhu2015... |
1,116,691,498,201 | arxiv | \section{Introduction}
\label{introduction}
\vspace{-0.16cm}
Deep metric learning (DML) aims to learn a non-linear embedding function (a.k.a. distance metric) such that the semantic similarities over samples are well captured in the feature space \citep{tadmor2016learning,sohn2016improved}.
Due to its funda... |
1,116,691,498,202 | arxiv | \section{Introduction}
Recently, fifth-generation (5G) wireless communication systems have appeared in numerous countries, satisfying the demands of both industries and end users. However, today, researchers have focused on the concepts and applications of future wireless communication, that is sixth-generation (6G) wi... |
1,116,691,498,203 | arxiv | \section{Introduction}
Factorization homology is a homology theory on manifolds with coefficients in suitable $\mathrm{E}_n$-algebras.
The main results of this paper are:
\begin{enumerate}
\item We construct a $\Gtop$-enriched category $\mathrm{Mfld}^{\mathrm{fr}_{V}}_{n}$.
Its objects are $V$-framed $G$-manif... |
1,116,691,498,204 | arxiv |
\section*{Appendix}
Diverse, multi-modal behaviors generated by our models on different environment are best experienced and understood in a video.
We invite you to visit \url{https://notmahi.github.io/bet} to see BeT{} models in action.
\section{Environment and Dataset Details}
\label{sec:appendix_environments_datase... |
1,116,691,498,205 | arxiv | \section*{}
\section{Introduction}
The extreme difficulties which arise if one tries to draw physically important conclusions from the basic assumptions
of Einstein's theory are mainly due to the non-linearity of the field equations. Moreover, the fact
that the spacetime topology is not given a priori, and the impos... |
1,116,691,498,206 | arxiv | \section{INTRODUCTION}
A monochromatic spectral line will be broadened after single Compton
scattering on thermal electrons in an optically thin, hot plasma. The
emergent spectrum will depend on the angle between the direction,
$\bg{\Omega}$, from which the photons are supplied and the observer's
direction, $\bg{\Omeg... |
1,116,691,498,207 | arxiv | \section*{Acknowledgement}
This research was financially supported by the Victorian High Education State Investment Fund (VHESIF) Smarter, Faster, Biopharma and Food Manufacturing and CSL Innovation Ltd.
\section{Introduction}
In the era of digital revolution, computers have been increasingly used to digitize and ... |
1,116,691,498,208 | arxiv | \section{Introduction}
\vspace{-2mm}
Statistical dependency measures the correlation of random variables or factors in models, which is often an important concern in various scientific domains including statistics~\cite{granger1994using,jiang2015nonparametric}, robotics~\cite{julian2014mutual,charrow2015information},... |
1,116,691,498,209 | arxiv | \section{Introduction}
\par
A metric space $(X,d)$ is a CAT(0) space if it is geodesically connected and if every geodesic triangle in $X$ is at least as thin as its
comparison triangle in the Euclidean plane. For other equivalent definitions and basic properties, we refer the reader to standard texts such as \cit... |
1,116,691,498,210 | arxiv | \section{Introduction}
Exel has recently introduced a new kind of crossed product for an endomorphism $\alpha$ of a $C^*$-algebra $B$ \cite{E}. The crucial ingredient in his construction is a \emph{transfer operator}, which is a positive linear map $L:B\to B$ satisfying $L(\alpha(a)b)=aL(b)$. In the motivating example,... |
1,116,691,498,211 | arxiv |
\section{Introduction}
Faced with various policy-violating activities ranging from
disinformation~\cite{resende2019mis}
to harassment~\cite{hua2020characterizing,matias2015reporting,duggan2014online} and abuse~\cite{bursztein2019rethinking,revenge}, social media companies increasingly rely
on automated algorithms to ... |
1,116,691,498,212 | arxiv | \section{Introduction}
\label{sec1}
Dislocations are of fundamental importance in the physics of
semiconductors, both from a mechanical and from an electronic point of
view. They are the carriers of plasticity in crystals and act as
trapping and scattering centers for electronic carriers. A wealth of
experimental inf... |
1,116,691,498,213 | arxiv | \section{INTRODUCTION}
\label{intro}
Gravitational lensing is an important probe for the mass distribution of
lensing galaxies as well as for the internal structure of lensed sources
\citep[e.g.,][]{koc06}.
Quadruply lensed quasars
are particularly useful in this regard since the positions and
flux ratios of the lense... |
1,116,691,498,214 | arxiv | \section{Introduction}In~\cite{VX} we initiated a study of character sheaves for ${\mathbb Z}/m{\mathbb Z}$-graded Lie algebras. The invariant theory of graded Lie algebras was studied by Vinberg in~\cite{V} where the classical graded Lie algebras were divided into types I, II and III. In~\cite{VX,VX2} we focus on type... |
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