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1,314,259,995,363 | arxiv | \section{Introduction}
\noindent
The purpose of this paper is to generalize the main results of \cite{St} on the stability of travelling waves
in Nagumo equation with multiplicative noise to general bistable reaction diffusion equations with noise. To this
end let us first consider the deterministic reaction-diff... |
1,314,259,995,364 | arxiv | \section*{References}%
\submitted{The Astrophysical Journal, {\it in press}}
\title{X-ray Observations of Gravitationally Lensed Quasars; Evidence for
a Hidden Quasar Population}
\author{G. Chartas\altaffilmark{1}}
\altaffiltext{1}{Astronomy and Astrophysics Department, The Pennsylvania
State University, University... |
1,314,259,995,365 | arxiv | \section{\label{sec:level1}Introduction}
Water has been studied extensively because it is a fundamental liquid with
unique properties.
For example, its boiling point under atmospheric pressure, 100$^\circ$C,
is unusually high for its molecular weight, 18.
In addition, its volume decreases as it melts, unlike other ... |
1,314,259,995,366 | arxiv | \section{Introduction}
Let $S$ be a connected orientable surface without boundary, with finitely many punctures and negative Euler characteristic. The \textit{Teichm{\"u}ller space} $\Teich(S)$ of $S$ is the space of isotopy classes of complete, finite area hyperbolic structures on $S$. For a pair of points $g_1,g_2\i... |
1,314,259,995,367 | arxiv | \section{Introduction}
Galaxy merger is a key process for the formation and evolution of galaxies in the $\Lambda$CDM hierarchical structure formation paradigm. It is widely accepted that the existence of massive black holes (MBH) in the centers of nearby galaxies is ubiquitous \citep{2013ARA&A..51..511K, 1995ARA&A..3... |
1,314,259,995,368 | arxiv | \section{Introduction}
\label{Int}
With the accumulation of observational data, such as the
Supernovae Type-Ia (SN Ia) \cite{Miknaitis:2007jd,Davis:2007na},
Cosmic Microwave Background (CMB)
\cite{wmap3:2006:1,wmap3:2006:2,wmap3:2006:3,wmap3:2006:4}, Large
Scale Structure (LSS) \cite{Tegmark:2006az} and so forth, it i... |
1,314,259,995,369 | arxiv | \section{Introduction}
In this paper we present some sensitivity results for the eigenvalues of the time-harmonic Maxwell's equations in a cavity upon perturbations of the permittivity parameter.
The cavity is represented by a bounded domain (i.e. a connected open subset) $\Omega $ of $\mathbb{R}^3$, and it is thoug... |
1,314,259,995,370 | arxiv | \section{Introduction}
Future beyond 5G(B5G)/6G networks are expected to bring new improvements over the previous mobile networks (4G and 5G) and enable new paradigms. This technological evolution paves the way for endless services tailored to specific verticals; e.g., e-Health, Industry 4.0, Internet of Things (IoT),... |
1,314,259,995,371 | arxiv | \section{Introduction}\label{intro}
Let $\cS_+^n$ and $\Sn_{++}$ be the {cones of positive semidefinite and positive definite matrices}, respectively, in the space of $n\times n$ symmetric matrices $\cS^n$ endowed with the standard trace
inner product $\inprod{\cdot}{\cdot}$ and the Frobenius norm $\norm{\cdot}$. ... |
1,314,259,995,372 | arxiv | \section{\label{sec:level1}INTRODUCTION}
Transitional flow regime is very frequently encountered in turbomachines and especially in aircraft engines at relatively low Reynolds numbers. As a consequence, a significant part of the flow on the blade surfaces is under the laminar-turbulent transition process. The boundary ... |
1,314,259,995,373 | arxiv | \section{Introduction}
The method of shortcuts to adiabaticity
is a series of techniques controlling dynamical systems
in efficient ways~\cite{STA13, STA19}.
The word ``adiabaticity'' assumes that
the system is operated very slowly.
However, by using some techniques,
we can mimic adiabatic dynamics under fast ... |
1,314,259,995,374 | arxiv | \section{Introduction}
By an \emph{Abel-Grassmann's groupoid} (briefly an \emph{$AG$-groupoid}) we shall mean any groupoid which satisfies the identity $(xy)z=(zy)x$.~Such a groupoid is also called a \emph{left almost semi\-group} (briefly an \emph{$LA$-semigroup}) or a \emph{left invertive groupoid} or a \emph{righ... |
1,314,259,995,375 | arxiv | \section{Introduction}
We consider a class of multi-agent systems called \emph{leader-follower systems}.
One or more agents in the network are \emph{leaders}; the states of these agents serve as the reference
states for the system. The remaining agents are \emph{followers} that update their states based on relative ... |
1,314,259,995,376 | arxiv | \section{Introduction}
Star formation requires cool and high-density ISM in which most of the hydrogen is in molecular form so that the studies of distribution and properties of the molecular clouds are very important to understand the star formation processes. Emission from the tracer CO molecule has been widely used ... |
1,314,259,995,377 | arxiv | \section{Introduction}\hspace{5mm}
As it is known for some time, among various non-linear
generalizations or deformations of the usual quantum harmonic
oscillator there is a distinguished class of so-called Fibonacci
oscillators \cite{Arik1} - the oscillators whose energy spectra
satisfy the Fibonacci property (FP), im... |
1,314,259,995,378 | arxiv | \section{Introduction}
In Classical Mechanics, one of the most venerable equations on a
(connected) Riemannian manifold $(M_0,g_0)$ is:
\[
\hspace*{3.5cm}\frac{D\dot\gamma}{dt}(t)\ =\ - \nabla^{M_0} V (\gamma(t),t)\hspace*{3.5cm}
(E_0)
\]
where $D/dt$ denotes the covariant derivative along $\gamma$
induced... |
1,314,259,995,379 | arxiv | \section{Introduction}
The radio emission of Active Galactic Nuclei (AGNs) is synchrotron radiation
generated in the relativistic jets that emerge from the nucleus of the galaxy,
presumably along the rotational axis of a central supermassive black hole.
Synchrotron radiation can be highly linearly polarized, up to ... |
1,314,259,995,380 | arxiv | \section{Introduction}
Solitons play an important role in many areas of physics. As classical solutions of non-linear field theories, they
are localised structures with finite energy, which are globally regular.
In general, one can distinguish topological and non-topological solitons.
While topological solitons \cite{m... |
1,314,259,995,381 | arxiv | \subsubsection{0pt}{3pt plus 1pt minus 1pt}{3pt plus 1pt minus 1pt}
\let\OLDthebibliography\thebibliography
\renewcommand\thebibliography[1]{
\OLDthebibliography{#1}
\setlength{\parskip}{0pt}
\setlength{\itemsep}{0pt plus 0.3ex}
}
\titleformat{\section}{\normalfont\fontsize{14}{16}\bfseries}{\thesection}{1em}{}... |
1,314,259,995,382 | arxiv | \section{Introduction}
The local properties of space-time in general relativity are described by the metric tensor $g_{\mu\nu}$. In cosmology, the metric tensor is expected to be close to the Friedmann-Lema\^itre-Robertson-Walker (FLRW) form that describes a perfectly homogeneous and isotropic universe, with small flu... |
1,314,259,995,383 | arxiv | \section{Introduction}
In 2005, two complementary and independent methods were discovered
that allowed numerical relativists to completely solve
the black-hole binary problem in full strong-field
gravity~\cite{Pretorius:2005gq, Campanelli:2005dd, Baker:2005vv}.
On the other hand, there are currently major experimen... |
1,314,259,995,384 | arxiv | \chapter{Supplemental Material}
\label{appendix:UQ-ARMED}
\input{appendix_UQ-ARMED.tex}
\section{Coefficient covariate estimation using $\frac{\partial y}{\partial \Bar{x}}$}
As described in \ref{sec:UQ-ARMED:methods:covariate coef} there are two reasonable approaches for estimating the covariate coefficient calcula... |
1,314,259,995,385 | arxiv |
\section{Introduction}
\label{sec:intro}
Studies have shown that corrosion costs amount to 3.4\% of global GDP \cite{Koch2017}. Common corrosion control measures, such as permanent anti-corrosion coatings or more accurate corrosion detection methods, could reduce the overall cost of corrosion. There are several method... |
1,314,259,995,386 | arxiv | \section{Introduction}
\label{sec:introduction}
The theory of motivic derived algebraic geometry is an enhancement of
derived algebraic geometry for the direction of $\mathbb{A}^1$-homotopy theory.
In the theory of motivic derived algebraic geometry, we define motivic
versions of $\infty$-categories, $\infty$-topoi, cl... |
1,314,259,995,387 | arxiv | \section{Introduction}
Stellar dynamics, a well established discipline, continues to be an active field of research
due to its complex dynamics. Newly developed sophisticated tools on nonlinear dynamics or ever increasing numerical capacities are readily applied to N-body gravitating systems.
The problem of relaxati... |
1,314,259,995,388 | arxiv | \section{Introduction}
The most prolific source of gravitational waves (GWs) in the mHz band are galactic ultra compact binaries (UCBs), primarily comprised of two white dwarf stars.
Ref.~\cite{Korol:2017qcx} describes a contemporary prediction for the population of UCBs detectable by the Laser Interferometer Space An... |
1,314,259,995,389 | arxiv | \section{Introduction}
It has been recently shown by the authors of this paper \cite{ourpaper1} that the Hawking temperatures \cite{Hawking_rad} of black holes can be found using purely topological methods. This has led to a deeper understanding of the topological nature of the Hawking temperature of not only individu... |
1,314,259,995,390 | arxiv | \section{Introduction:}\label{sec:intro}
Quasisymmetric stellarators\cite{nuhren1988,boozer1981,rodriguez2020} (sometimes referred to as helically-symmetric\cite{tessarotto1995,tessarotto1996}) constitute an attractive choice for magnetic confinement fusion. Theoretically, such designs exhibit transport properties ana... |
1,314,259,995,391 | arxiv | \section*{Methods Summary}\label{Data and model}
We produced images for all 30 individual {\it Chandra}\ pointings (Figure~1; see Online Methods for
details), and spectra were extracted over the 0.3-8.0\hbox{$\rm\thinspace keV$}\ energy band for each of the 4 lensed
images in each observation (all energies are quoted i... |
1,314,259,995,392 | arxiv |
\section{Introduction}
Large-scale networked dynamical systems play a crucial role in many emerging engineering systems such as the power grid \citep{fang2011smart}, autonomous vehicle platoons \citep{li2015overview}, and swarm robots \citep{morgan2014model}.
Two salient features of such systems that lead to major c... |
1,314,259,995,393 | arxiv | \section{Introduction}
Multiple access techniques are used to allow a number of mobile users to share the same spectrum. FDMA, TDMA, CDMA and OFDMA are used in the 1th to 4th generation mobile communication systems, all in an orthogonal way. With the coming of 5G, non orthogonal multiple access (NOMA) became popula... |
1,314,259,995,394 | arxiv | \section{Introduction}
The concepts of convergence of a sequence of real numbers has been generalised to statistical convergence independently by Fast \cite{f} and Steinhaus \cite{q}. Then a lot of developments were carried out in this area by many authors. The concepts of statistical convergence of sequence has been e... |
1,314,259,995,395 | arxiv | \section{\label{}}
\section{Introduction}
Leptoquarks (LQ) are hypothetical particles that are predicted by many extensions~\cite{mBRW,techni1,techni2,techni3,superstring} of the Standard Model of particle physics (SM), such as Grand
Unification Theory, Technicolor and Composite models. They carry both baryon and ... |
1,314,259,995,396 | arxiv | \section{Introduction}
Topological statistics have a long history of use within cosmology \cite{1990ApJ...352....1G,1991ApJ...378..457P,Mecke:1994ax,Schmalzing:1997aj,Schmalzing:1997uc,Hikage:2006fe,Ducout:2012it,1989ApJ...345..618M,1992ApJ...387....1P,1992ApJ...385...26G}. Theoretical studies of random fields have b... |
1,314,259,995,397 | arxiv | \section{Introduction}
Banados-Teitelboim- Zanelli (BTZ) black hole \cite{BTZ} is one of the
important kinds of black holes in three-dimensional space-time. The rotating
charged BTZ black hole solution was studied by Achucarro and Ortiz \cite{AO}, which is called the AO (Achucarro-Ortiz) black holes. It has been found ... |
1,314,259,995,398 | arxiv | \section{Electronic Submission}
\label{submission}
Submission to ICML 2021 will be entirely electronic, via a web site
(not email). Information about the submission process and \LaTeX\ templates
are available on the conference web site at:
\begin{center}
\textbf{\texttt{http://icml.cc/}}
\end{center}
The guidelines b... |
1,314,259,995,399 | arxiv | \section{Introduction}
The evolution of self-gravitating systems and plasmas is mainly dominated by collective mean-field processes due to their large number of particles $N$ and the long-range nature of the $1/r^2$ gravitational or Coulombian force. The typical dynamical scale $t_{\rm dyn}$ of such systems is of the o... |
1,314,259,995,400 | arxiv | \section{Introduction}
The AdS/CFT correspondence \cite{Maldacena:1997re} provides a very elegant reformation of certain questions concerning specific strongly coupled CFTs in terms of classical geometric calculations in a dual gravity theory. Such methods are particularly powerful for questions related to CFTs deform... |
1,314,259,995,401 | arxiv | \section{Introduction}
Sustainable development was first addressed by Erwin Schr\"odinger
\cite{Schroedinger}
based on entropy, where development was characterized by increasing
"orderliness" (nowadays complexity). He pointed out that the development
of highly complex forms of matter (or life) should be built on
less ... |
1,314,259,995,402 | arxiv | \section{Introduction}
According to recent lattice
studies~\cite{wirNP97,wirPRD97,LatticeCrossover,ThisDayReview} it is very
likely that the standard electroweak theory does not go through
a true phase transition at finite temperature.
The $3D$ $SU(2)$ Higgs model, which with a $t$-quark of appropriate mass is the
eff... |
1,314,259,995,403 | arxiv |
\section{Introduction}\label{sec:intro}
High-dimensional tensor-variate data arise in computer vision (video data containing multiple frames of color images), neuroscience (EEG measurements taken from different sensors over time under various experimental conditions), and recommending system (user preferences over tim... |
1,314,259,995,404 | arxiv | \section{Introduction} \label{sec:intro}
It has recently been shown that attention mechanisms can boost the performance of neural networks in various tasks by learning to focus on relatively important and salient parts of input signals. Most notably, attention-based recurrent neural networks have achieved great success... |
1,314,259,995,405 | arxiv | \section{Introduction}\label{sec1}
For an asynchronous two dimensional multi-carrier code-division multiple
access (2D-MC-CDMA) system, the ideal 2D correlation
properties of two dimensional complete
complementary codes (2D-CCCs)\cite{farkas2003two} can be properly utilized to obtain interference-free performance \cite... |
1,314,259,995,406 | arxiv | \section{#1}\setcounter{lemma}{0}}
\title{Existence and rigidity of quantum isometry groups for compact metric spaces}
\author{Alexandru Chirvasitu\footnote{Partially supported by NSF grant DMS-1801011} and Debashish Goswami\footnote{Partially supported by J.C. Bose Fellowship from D.S.T. (Govt. of India).}}
\beg... |
1,314,259,995,407 | arxiv | \section{Introduction}
Multiple hypothesis testing with \textit{false discovery rate} (FDR,
\cite{Benjamini:1995}) control has been widely applied to various scientific
endeavors, and it can often be stated as follows. There are $m\in\mathbb{N}$
test statistics $\left\{ \zeta_{i}\right\} _{i=1}^{m}$ such that $... |
1,314,259,995,408 | arxiv | \section{DFT calculations for nanoribbons}
Here we present DFT calculations for the MoS$_2$ and TiCl$_2$ nanoribbons shown in Fig. \ref{fig:MoS2_ribbon_edge}. The main difference between these two materials is that the former has non-trivial topological polarization while the latter does not. Tight binding calculations... |
1,314,259,995,409 | arxiv | \section{Introduction}\label{sec_intro}
Currently, it is more evident than ever before that we consume much more energy than we actually need. The extensive use of electrical devices in most of our daily activities, the absence of eco- or energy-friendly design in older devices, and the lack of awareness or care from ... |
1,314,259,995,410 | arxiv | \section{1. Deriving the mode equations}
In this section, we show how to derive the mode equations using the moment expansion technique~\cite{cates2013when, Solon2015comp,Adeleke2020}. We start the derivation from the Fokker-Planck equation (FPE) describing the evolution of $P(\bm{\chi},\bm{r},\bm{\eta},t)$ (eq.~(2) i... |
1,314,259,995,411 | arxiv | \section{Introduction}
\label{Sec:Introduction}
Astrophysical and cosmological observations indicate that $26 \%$ of the total energy density and $84 \%$ of the total matter content of the Universe is dark matter (DM) \cite{Planck2015},
the identity and properties of which still remain a mystery.
One of the leadin... |
1,314,259,995,412 | arxiv | \section{Introduction}
This note addresses Girsanov's question\footnote{See the remark on page~296 in \cite{Girsanov_1960}.} in the context of (not necessarily one-dimensional) solutions to stochastic differential equations: Under which conditions is a stochastic exponential a true martingale? The condition provided ... |
1,314,259,995,413 | arxiv | \section{Introduction}
Large-scale vortical structures are universal features observed in
geophysical, astrophysical and laboratory flows (see, e.g.,
\cite{L83,P87,C94,GLM97,T98,RAO98}). Formation of vortical
structures is related to the Prandtl secondary flows (see, e.g.,
\cite{P52,T56,P70,B87}). A lateral stretching... |
1,314,259,995,414 | arxiv | \section{Introduction}
Recent works in deep learning based on visual recognition methods have delivered enormous advantages towards computer-assisted interventions (CAI)~\citep{ward2021computer}. CAI tools have been primarily focused on specific information gathering, such as the presence or location of lesions. Noneth... |
1,314,259,995,415 | arxiv | \section{Introduction}
\begin{figure}[h]
\begin{center}
\includegraphics[scale=0.3,angle=270]{serminatopasaY89fig1a.ps}
\includegraphics[scale=0.3,angle=270]{serminatopasaBa138fig1b.ps}
\includegraphics[scale=0.3,angle=270]{serminatopasaPb208fig1c.ps}
\caption{Top panel: Theoretical prediction for $^{89}$Y production f... |
1,314,259,995,416 | arxiv | \section{The Hamiltonian and the expansion in bosons}
We consider Heisenberg Hamiltonian of 2D triangular lattice (Eq. (3) of the main text), and expand
it to sixth order in Holstein Primakoff bosons around the ferromagnetic state, which holds at $h > h_{sat}$. We then move to fields below the saturation value by ... |
1,314,259,995,417 | arxiv | \section{introduction}
One of the famous Ramsey theoretic results is so called Van der Waerden\textquoteright s
Theorem which guarantees that atleast one cell of any partition $\{C_{1},C_{2},\ldots,C_{r}\}$
of $\mathbb{N}$ contains arithmetic progressions of arbitrary length.
Since arithmetic progressions are inv... |
1,314,259,995,418 | arxiv | \section*{Introduction}
A transparent polarisation sensitive phase pattern introduces a position-dependent change in the phase of transmitted light depending on the polarisation of incident light. A classical image of such a pattern can be obtained by measuring the position-wise polarisation shift of the transmitted cl... |
1,314,259,995,419 | arxiv | \section{Introduction and main result}\label{s1}
In this paper, we investigate the existence of standing waves
$\psi(x,t)=e^{-\frac{iEt}{\hbar}}u(x)$, $E\in \R,u: \R^{N}\rightarrow\mathbb{C}$
to the time-dependent nonlinear Schr\"{o}dinger equation
with an external electromagnetic field
\begin{equation}\label{1.... |
1,314,259,995,420 | arxiv |
\section{Introduction}\label{sec:introduction}
Over the past ten years, blockchains have generated tremendous interest by enabling decentralized payment systems. The term blockchain, first introduced by Satoshi Nakamoto in his design of Bitcoin \cite{nakamotobitcoin}, refers to the distributed data structure at the h... |
1,314,259,995,421 | arxiv | \section{Introduction}
Conventional single-reference coupled cluster theory provides a robust and systematically improvable treatment of electron correlation effects.\cite{Coester1958,Cizek1966,Cizek1971,Paldus1972,Bartlett1981,MEST,MBM,Bartlett2007}
The wave function ansatz features an exponential cluster operator th... |
1,314,259,995,422 | arxiv | \section*{Introduction}
Nous nous intéressons dans un premier temps aux courbes analytiques singulières sur une surface analytique réelle. Nous décrivons puis énumérons leurs configurations topologiques, d'abord au voisinage des singularités, puis dans leur globalité.
Nous adaptons dans un second temps la description... |
1,314,259,995,423 | arxiv | \section{Introduction}\label{Int}
A plethora of observations concur that the Universe at present enters a
phase of accelerated expansion. In fact, most cosmologists accept that
over 70\% of the Universe content at present corresponds to the elusive
dark energy; a substance with pressure negative enough to cause
the ob... |
1,314,259,995,424 | arxiv | \section{Introduction}
This paper is concerned with the theory of Kazhdan-Lusztig cells in a Coxeter group $W$, following the general setting of Lusztig \cite{bible}. This involves a weight function $L$ which is an integer-valued function on $W$ such that $L(ww')=L(w)+L(w')$ whenever $\ell(ww')=\ell(w)+\ell(w')$ ($\el... |
1,314,259,995,425 | arxiv | \section{Introduction}
\noindent A unique nonlinear feature of gravitational waves is that it leaves an imprint over the spacetime it passes through \citep{Favata:2010}. This phenomena is known as the gravitational wave memory effect and it causes a permanent change in the separation between freely falling test partic... |
1,314,259,995,426 | arxiv | \section{Conclusion}
\label{sec:conclusion}
In this paper, we have presented a MILP-based framework for integrating security guarantees with end-to-end timeliness requirements for control transactions in resource-constrained CPS. We have shown that the use of physics-based anomaly/intrusion detectors and intermittent ... |
1,314,259,995,427 | arxiv | \section{Introduction}
Active Galactic Nuclei (AGN) are powered by mass accreting onto a
supermassive black hole (SMBH). The well known \cite{ss73} disc model makes very simple predictions for
this emission if it is emitted locally and thermalises to a blackbody.
The disc temperature increases inwards (modulo a stress... |
1,314,259,995,428 | arxiv | \section{ABOUT MIND-MAPS}\label{intro}
Transactional streams are to be understood as an endless flow of data that is lost once it is read. Furthermore, the data can be classified into categories, for example sentences or paragraphs inside a text document. These categories form the transaction, having items inside, for... |
1,314,259,995,429 | arxiv | \section{Introduction} \label{sec:intro}
Light-matter interactions and nonequilibrium dynamics are unifying themes connecting solid state physics, quantum optics, and atomic and molecular physics. The prospect of controlling properties on demand in quantum materials by coupling them to laser fields has spurred enormou... |
1,314,259,995,430 | arxiv | \section{Introduction}
Contemporary wireless communications systems, such as IEEE 802.11 and 4G LTE, deploy multicarrier modulation with the aim of transmitting data over frequency-selective channels. In this sense, OFDM is the most popular choice and a suitable number of subcarriers is used to make subchannels frequen... |
1,314,259,995,431 | arxiv | \section{Introduction}
\langed{If the topology of the Universe were multiply connected, as opposed to simply-connected, and if the
comoving size of the fundamental domain (FD) were smaller than the comoving distance to the surface-of-last-scattering (SLS),
then it should be possible to detect repeating patterns in t... |
1,314,259,995,432 | arxiv | \section{Introduction}
Epistemic neural networks (ENNs) were recently introduced as a new framework for modeling uncertainty in deep learning \citep{osband2022epistemic}. ENNs offer an interface for expressing uncertainty due to knowledge, the kind that can be resolved with additional data, as opposed to uncertainty du... |
1,314,259,995,433 | arxiv | \section{Introduction}
\label{s:intro}
Radiation from astrophysical or laboratory plasmas depends upon the strength and topology of the magnetic field within the plasma, as well as on the acceleration of plasma particles. For relativistic plasmas, radiative output of an individual particle depends significantly on th... |
1,314,259,995,434 | arxiv | \section{Introduction}
\label{sec:introduction}
Anisotropic diffusion, in which the rate of diffusion of some quantity is
faster in certain directions than others, occurs in many different physical
systems and applications. Examples include diffusion in geological
formations~\cite{Saadatfar2002}, thermal properties of... |
1,314,259,995,435 | arxiv | \section{Introduction}
Yates's algorithm from 1937 is a kind of fast Fourier transform that
computes for a function $f\colon \{0,1\}^n\rightarrow\mathbf R$ and another
function $\upsilon\colon \{0,1\}\times\{0,1\}\rightarrow\mathbf R$ the values
\begin{equation}
\label{eq: yates sum intro} \widehat f(x_1,\ldots, x_n... |
1,314,259,995,436 | arxiv | \section{Introduction}
The Skyrme model of nuclear physics \cite{Skyrme} describes baryons as
topological solitons in a non-linear field theory of $\pi$-mesons. It
has enjoyed qualitative success in describing both single nucleon
properties and the nucleon-nucleon interaction
\cite{ANW,JackRho,Jacks}. It is thus of in... |
1,314,259,995,437 | arxiv | \section{Introduction}
Colorectal cancer (CRC) is the third most commonly diagnosed cancer and the second leading cause of cancer death in the United States for men and women combined \cite{doi:10.3322/caac.21551}. According to the American Cancer Society's estimation, there are approximately 145,600 new cases of color... |
1,314,259,995,438 | arxiv | \section{Introduction}
Let $\vv(n)$ denote the number of \emph{compositions} of a positive integer
$n$ into powers of $2$ (compositions are sometimes called \emph{ordered partitions}):
this is the amount of finite sequences $\{q_{1},q_{2},\ldots,q_{\ell}\}$ of non-negative
integers such that $n=2^{q_{1}}+2^{q_{... |
1,314,259,995,439 | arxiv | \section{Introduction}
Studies on the emergence of collective and synchronized dynamics in
large ensembles of coupled units have been carried out since the
beginning of the nineties in different contexts and in a variety of
fields, ranging from biology, ecology, and semiconductor lasers, to
electronic circuits \cite{p... |
1,314,259,995,440 | arxiv | \section{Introduction}
We fix a base field $K$ of characteristic 0, an integer $m\geq 2$
and a set of symbols $X=\{x_1,\ldots,x_m\}$. We call the elements of $X$
variables. Sometimes we shall use other symbols, e.g. $y,z,y_i$, etc.
for the elements of $X$. We denote by $V_m$ the vector space with
basis $X$.
\par
Let $... |
1,314,259,995,441 | arxiv | \section{An upper bound for $f(n,a)$}
The goal of this section is to provide an upper bound for $f(n,a)$ for all $a,n\in \mathbb{N}^+$. To do so, we consider an integer program that outputs $f(n,a)$ in \ref{sec:results}. We first introduce some necessary concepts from linear and integer programming in \ref{sec:IP}.
... |
1,314,259,995,442 | arxiv | \section{Introduction} \label{Sec:intro}
During the past forty years it has become clear that galaxy properties and evolution can be driven as much by environment as by initial conditions, even if the details of environmental influence are not yet well quantified. Some observed properties show a strong dependence on ... |
1,314,259,995,443 | arxiv | \section{Introduction}
\textit{Named Entity Recognition} (NER) is a crucial part of various \textit{Natural Language Processing} (NLP) tasks like entity linking, relation extraction, machine reading and ultimately \textit{Question Answering} (QA).
%
With the recent rise of neural networks, much emphasis has been pu... |
1,314,259,995,444 | arxiv | \section{introduction}\label{sec:intro}
A massive perturber moving through some background medium creates in
it a density wake. The wake trails the perturber and exerts on it a
gravitational force in the direction opposite to the
motion, thus acting as a brake and earning this interaction a name:
``dynamical frictio... |
1,314,259,995,445 | arxiv | \section{Introduction}
In the theory of mappings called quasiconformal in the mean,
conditions of the type
\begin{equation}\label{eq2} \int\limits_{D} \Phi
(Q(z))\ dx\,dy\ <\ \infty\end{equation} are standard for various
characteristics $Q$ of these mappings, see e.g. \cite{Ah},
\cite{Bi}, \cite{Gol}, \cite{G... |
1,314,259,995,446 | arxiv | \section*{References}
\bibliographystyle{plain}
\section{Reminders on the BLASSO}
\subsection{Recovery of the Support in Presence of Noise}
Let $\posO\in \Poso{}^N$, $\ampO\in (\RR\setminus\{0\})^N$ and $\measO=\sum_{i=1}^N\ampOi \dirac{\posOi}$. The BLASSO is the variational problem
\begin{align}\label{eq:defbl... |
1,314,259,995,447 | arxiv | \section{Introduction}
The solar chromosphere
is filled with fibrils in plages and mottles in network seen on the
disk and with spicules seen at the limb. Although the mutual
correspondence of fibrils, mottles, and spicules has not yet been
established directly, we believe that they represent the same feature
seen un... |
1,314,259,995,448 | arxiv | \section*{Introduction}
Constructive theories of Abelian and modular functions associated with
algebraic curves have seen an upsurge of interest in recent times.
These classical functions have been of crucial importance in
mathematics since their definition at the hands of Abel, Jacobi,
Poincar\'e and Riemann, but th... |
1,314,259,995,449 | arxiv | \section{Introduction}
\label{sec1}
In recent years, there have been a lot of activities on the Ir-based transition metal oxides.
Due to the strong spin-orbit coupling (SOC) of its $5d$ electrons, many novel phases,
theoretical models and experiments have been proposed and discovered in
these Ir-based materials~\ci... |
1,314,259,995,450 | arxiv | \section{#1}}
\renewcommand{\theequation}{\thesection.\arabic{equation}}
\begin{document}
\vskip 2mm
\begin{center}
{\large\bf COMPLEX RANDOM
MATRIX MODELS WITH POSSIBLE APPLICATIONS TO SPIN-IMPURITY
SCATTERING IN QUANTUM HALL FLUIDS
}
\end{center}
\vskip 3mm
\begin{center}
S. Hikami$^{1}$ and A. Zee$^{2}$
\end{cente... |
1,314,259,995,451 | arxiv | \section{Introduction}
\label{S:Intro}
An \emph{H-trivial link} of type $(m,n)$ is a link in $\Rr^3$
which is ambiently isotopic to the split union of $m$ Hopf links and $n$ trivial knots.
When~$m=0$, it is a trivial link with $n$ components.
H-trivial links are a generalization of trivial links,
and play an impo... |
1,314,259,995,452 | arxiv | \section{Introduction}
\label{Section: Introduction}
Weakly integral modular categories, \textit{i.e.}, modular categories of
integral FP-dimension, arise in a number of settings such as quantum groups at
certain roots of unity \cite{NR1}, equivariantizations of Tambara-Yamagami
categories \cite{GNN1}, and by... |
1,314,259,995,453 | arxiv | \section{Introduction}
The X-ray emission of the order of $10^{38}$ erg s$^{-1}$ from the
Galactic ridge (GR) in the energy range above 1 keV was detected
almost forty years ago \citep{bleach} but its origin remains
unknown till now. Two possibilities are debated either this
emission is really diffuse \citep{ebi1, e... |
1,314,259,995,454 | arxiv | \section{Derivation of the long-range potential}
\label{appendix:potential_derivation}
Due to the $L_e-L_\beta$ ($\beta = \mu, \tau$) symmetry, an electron sources a Yukawa potential
\begin{equation}\label{equ:potential_one_electron}
V_{e\beta} = - \frac{ g_{e\beta}^{\prime 2} } { 4\pi d } e^{-m_{e\beta}^\prime d}
\e... |
1,314,259,995,455 | arxiv | \section{Introduction} \label{s:introduction}
In this paper we address the classical water wave problem for two-dimensional steady waves with vorticity on water of finite depth, formulated in terms of Euler equations with a free boundary. While allowing for arbitrary exact solutions, representing nonlinear waves, we... |
1,314,259,995,456 | arxiv | \section{Introduction}\label{sec-Introduction}
The design of fluid-saturated poroelastic media (FSPM) present a gradually increasing topic of research interest due to its mathematical complexity and a great application potential. Although the theory of FSPM has been developed in the context of geomechanics and civil e... |
1,314,259,995,457 | arxiv |
\subsection{Reprojection-based registration}
\label{subsec:reprojection}
As discussed earlier, there are several sensors present in the sensor suite which captures information in a time-synchronized manner. However, to utilize the information from all channels together, the images captured by the sensors should be reg... |
1,314,259,995,458 | arxiv | \section{Introduction}
There are many purely astrophysical and nuclear physics uncertainties in the core collapse supernova problem. However, the weak interaction in general and neutrino physics in particular play pivotal roles in nearly every aspect of the collapse of the core of a massive star and likely in any subs... |
1,314,259,995,459 | arxiv | \section{INTRODUCTION}\label{intro}
Various quantum spin systems with frustration have been extensively studied, motivated by exotic characters such as quantum spin liquid at zero temperature and quantization of magnetization with spontaneously broken translational symmetry. Actually, gapless quantum spin liquid state... |
1,314,259,995,460 | arxiv | \section{Introduction}\label{S:introduction}
We consider the 3D quadratic Zakharov-Kuznetsov equation
$$
\text{(3D ZK)} \qquad \qquad \partial_t u + \partial_x \Delta u + \partial_x u^2 =0, \qquad \qquad
$$
where $u=u(\mathbf{x},t)$, for $\mathbf{x} = (x,y,z) \in \mathbb{R}^3$, $t \in \mathbb{R}$.
This equation is ... |
1,314,259,995,461 | arxiv | \section{Introduction}
Supermassive black holes (SMBHs; $M \gtrsim 10^5 \, M_\odot$) are inferred to reside in most galactic nuclei \citep{kormendy1995, magorrian1998,laor2000,ferra2006,shan2009}.
When efficiently supplied with gas, these objects can produce some of the most luminous sources in the Universe \citep... |
1,314,259,995,462 | arxiv | \section{Introduction} \label{sec:intro}
Galaxy properties (e.g., morphology, star formation rate (SFR), and color) change with environment including the field, groups, and clusters. As the surrounding density increases, the fraction of early-type galaxies increases (i.e., the density-morphology relation; \citealt[][]{... |
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