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\section{Introduction}
This is an expository note on height function associated with closed subschemes with detailed proof.
Height functions associated with closed subschemes are introduced by Silverman in \cite{sil87}.
They are generalization of usual height functions associated to Cartier divisors.
Standard referen... | {
"timestamp": "2020-11-20T02:06:35",
"yymm": "2008",
"arxiv_id": "2008.08153",
"language": "en",
"url": "https://arxiv.org/abs/2008.08153"
} |
\section{Introduction}
The significant evolution of robotic industry has lead to the development of robots playing important roles in our daily life. Some roles they play include helping deliver goods and services, environmental monitoring etc. Unfortunately, these robots come with different vulnerabilities either in s... | {
"timestamp": "2020-08-20T02:03:01",
"yymm": "2008",
"arxiv_id": "2008.08166",
"language": "en",
"url": "https://arxiv.org/abs/2008.08166"
} |
\section{Introduction}
One of the key contributions of the modern treatment effects literature is to explicitly acknowledge that the effect of participating in a treatment can differ across different individuals, even individuals with identical observable characteristics (see, for example, \textcite{heckman-smith-clem... | {
"timestamp": "2020-08-20T02:00:49",
"yymm": "2008",
"arxiv_id": "2008.08117",
"language": "en",
"url": "https://arxiv.org/abs/2008.08117"
} |
\section{Introduction}
In high mass X-ray binaries (HMXBs) the compact object, whether black hole or neutron star, accretes from a massive
stellar companion.
In particular, in Supergiant X-ray binaries (as opposed to Be X-ray binaries), the stellar companion is a
giant O or B type star whose strong stellar wind fee... | {
"timestamp": "2020-08-20T02:02:22",
"yymm": "2008",
"arxiv_id": "2008.08159",
"language": "en",
"url": "https://arxiv.org/abs/2008.08159"
} |
\section{Model Problem}
\label{sec:Model Problem}
Let $\Omega$ be a convex bounded polygonal/polyhedral domain in
$\mathbb{R}^2/\mathbb{R}^3$,
$y_d\in L_2(\Omega)$, $\beta$ be a positive constant,
$\psi\in H^3(\Omega)\cap W^{2,\infty}(\Omega)$ and $\psi>0$ on $\partial\Omega$.
The model problem \cite{Casas:1... | {
"timestamp": "2020-08-20T02:01:40",
"yymm": "2008",
"arxiv_id": "2008.08141",
"language": "en",
"url": "https://arxiv.org/abs/2008.08141"
} |
\section{Introduction}
\label{sec:Intro}
Fix a prime $p$. Recall from \cite{ArtinJoins} that an {\em absolute integral closure} of a domain $R$ is its integral closure in an algebraic closure of its fraction field; such a closure is unique up to (non-unique) isomorphism, commutes with localization, and is typically ... | {
"timestamp": "2020-08-19T02:24:00",
"yymm": "2008",
"arxiv_id": "2008.08070",
"language": "en",
"url": "https://arxiv.org/abs/2008.08070"
} |
\section*{Theory of epidemics in populations \textcolor{black}{with persistent heterogeneity}}
Following in the footsteps of
Refs.\cite{Moreno2002,pastor2015epidemic,bansal2007individual,Novozhilov,Meyers_future_epid_2012,Herd_Gomes,gou2017heterogeneous},
we consider the spread of an epidemic in a population of indivi... | {
"timestamp": "2021-02-01T02:18:13",
"yymm": "2008",
"arxiv_id": "2008.08142",
"language": "en",
"url": "https://arxiv.org/abs/2008.08142"
} |
\section{Further details of the single-crystal synthesis}
Single-crystal growth of $R_4$Ni$_3$O$_{10}$ ($R = $La, Pr) was performed as described Refs.~\cite{Zhang2016stacked, Zhang2017large}. The parent Ruddlesden-Popper phases were prepared in a floating zone furnace (HKZ-1, SciDre GmbH) with 20 bar O$_2$ for $R=$La... | {
"timestamp": "2021-01-19T02:13:08",
"yymm": "2008",
"arxiv_id": "2008.08209",
"language": "en",
"url": "https://arxiv.org/abs/2008.08209"
} |
\section{Introduction}
Offline handwriting recognition (HWR) is a fundamental problem in computer vision~\cite{survey2000}. Unlike online HWR where a stroke direction is a valuable cue \cite{hmm2014warp, graves2009ctc},
in the offline setting, we simply have access to an image of the final handwritten words instead.
... | {
"timestamp": "2020-08-20T02:01:58",
"yymm": "2008",
"arxiv_id": "2008.08148",
"language": "en",
"url": "https://arxiv.org/abs/2008.08148"
} |
\section{Introduction}
In this work, we show that cuspidal overconvergent modular forms of infinitesimal weight $\neq 1$ give rise via an explicit construction to highest weight vectors in the compactly supported completed cohomology of the modular curve (Theorem \ref{maintheorem:ocmf-cup} below). Using this result, ... | {
"timestamp": "2021-02-10T02:11:44",
"yymm": "2008",
"arxiv_id": "2008.08029",
"language": "en",
"url": "https://arxiv.org/abs/2008.08029"
} |
\section{}
\textit{Research Notes of the \href{https://aas.org}{American Astronomical Society}}
(\href{http://rnaas.aas.org}{RNAAS}) is a publication in the AAS portfolio
(alongside ApJ, AJ, ApJ Supplements, and ApJ Letters) through which authors can
promptly and briefly share materials of interest with the astronom... | {
"timestamp": "2020-10-22T02:15:51",
"yymm": "2008",
"arxiv_id": "2008.08169",
"language": "en",
"url": "https://arxiv.org/abs/2008.08169"
} |
\section{Introduction}
\label{sec.Introduction}
Neutrinos are notoriously elusive particles with an extremely low interaction rate~\cite{Vannucci}, which oscillate among three different flavors~\cite{Nakamura1, Nakamura2, Nakamura3, Nakamura4, Nakamura5, Nakamura6, Pontecorvo, Capolupo2018}.
They only participate in w... | {
"timestamp": "2021-07-20T02:29:33",
"yymm": "2008",
"arxiv_id": "2008.08119",
"language": "en",
"url": "https://arxiv.org/abs/2008.08119"
} |
\section{Introduction}
\label{sec.intro}
There is an abundant literature concerning the solution of \emph{nonlinear eigenvalue problems} such as
\begin{align}
-\nabla^2 u=\lambda f(u),
\label{eq.ev}
\end{align}
where $\lambda$ is a real number and $f$ a real-valued function. These nonlinear problems include the cel... | {
"timestamp": "2020-09-11T02:06:43",
"yymm": "2008",
"arxiv_id": "2008.08103",
"language": "en",
"url": "https://arxiv.org/abs/2008.08103"
} |
\section{Introduction}
\vspace{-1mm}
Voice trigger detection is a vital part of current voice assistant
products. In such systems, one or multiple trigger phrases are defined
for users to invoke the device to process voice requests. The design
of a trigger detector is often constrained by limited computation
resources ... | {
"timestamp": "2020-08-20T02:00:39",
"yymm": "2008",
"arxiv_id": "2008.08113",
"language": "en",
"url": "https://arxiv.org/abs/2008.08113"
} |
\section{Introduction}
The cosmic web is one of the most salient features of the matter distribution
on cosmological scales.
There is a great variety of methods striving to locally describe this complex
structure by classifying a region as belonging either
to a void, filament, wall or cluster \citep{2018MNRAS.473.11... | {
"timestamp": "2020-08-20T02:02:52",
"yymm": "2008",
"arxiv_id": "2008.08164",
"language": "en",
"url": "https://arxiv.org/abs/2008.08164"
} |
\section{Introduction}
Moore, in his pioneering paper on the dynamical Casimir effect (DCE) \cite{Moore-1970}, pointed out that
photons could be created by the excitation of the quantum vacuum by a moving mirror
(the DCE was also investigated in other pioneering articles
\cite{DeWitt-PhysRep-1975,Fulling-Davies-PRSA-1... | {
"timestamp": "2020-09-22T02:11:12",
"yymm": "2008",
"arxiv_id": "2008.08167",
"language": "en",
"url": "https://arxiv.org/abs/2008.08167"
} |
\section{Introduction}
Deep neural networks (DNNs) have achieved significant improvements in a variety of applications, including object detection~\cite{ren2015fasterrcnn}, image classification~\cite{he2016resnet}, and natural language processing~\cite{tenney2019bert}. Despite these advancements, DNNs are prone to fa... | {
"timestamp": "2020-09-07T02:02:29",
"yymm": "2008",
"arxiv_id": "2008.08030",
"language": "en",
"url": "https://arxiv.org/abs/2008.08030"
} |
\section{INTRODUCTION}
For the fifth-generation (5G) communication networks, there is a urgent need to improve the system performance limit to accommodate the ever increasing data traffic, which poses very stringent requirements on both the radio resources and the existing communication infrastructures \cite{5G}.
Wit... | {
"timestamp": "2020-08-20T02:05:05",
"yymm": "2008",
"arxiv_id": "2008.08212",
"language": "en",
"url": "https://arxiv.org/abs/2008.08212"
} |
\section{Introduction}
Clustering is an important unsupervised data mining task that partitions the input space into different homogeneous clusters such that the objects within the same cluster are as similar as possible, while the objects belonging to different clusters are as dissimilar as possible~\cite{jain99}. Th... | {
"timestamp": "2020-08-20T02:03:57",
"yymm": "2008",
"arxiv_id": "2008.08193",
"language": "en",
"url": "https://arxiv.org/abs/2008.08193"
} |
\section{Introduction}
Active galactic nuclei (AGNs) are galaxy nuclei that shine very
brightly from compact regions.
The bright compact emission is believed to come from an actively
mass-accreting supermassive black hole (SMBH) with mass of
$>$10$^{6}$M$_{\odot}$.
Optical spectroscopy of AGNs has found that some... | {
"timestamp": "2020-08-20T02:00:25",
"yymm": "2008",
"arxiv_id": "2008.08101",
"language": "en",
"url": "https://arxiv.org/abs/2008.08101"
} |
\section{Introduction} \label{sec:intro}
Gravitational wave (GW) and electromagnetic (EM) observations of neutron star mergers provide us with important information about the properties of dense matter, the synthesis of heavy nuclei, and high-energy astrophysics, as demonstrated by the first detection of GWs from a ne... | {
"timestamp": "2020-10-23T02:23:32",
"yymm": "2008",
"arxiv_id": "2008.08089",
"language": "en",
"url": "https://arxiv.org/abs/2008.08089"
} |
\section{Introduction}
\label{intro}
Multiple groups are aggregating data on COVID-19 including \cite{d1,d2,d3,d4}. By and large, they rely on a large number of other sources for their data. A comprehensive list of data sources is given by \cite{d1}. While the total number of daily cases and deaths being documented is... | {
"timestamp": "2020-11-05T02:06:57",
"yymm": "2008",
"arxiv_id": "2008.08039",
"language": "en",
"url": "https://arxiv.org/abs/2008.08039"
} |
\section{Introduction}
Correspondences play a central role in physics. Seminal examples include the bulk-edge correspondence, linking the presence of edge states to bulk topological invariants~\cite{Kane2005}, and the AdS/CFT (gauge/gravity) correspondence, which establishes a duality between conformal field theories... | {
"timestamp": "2020-08-19T02:24:11",
"yymm": "2008",
"arxiv_id": "2008.08075",
"language": "en",
"url": "https://arxiv.org/abs/2008.08075"
} |
\section{Introduction}
Let $G^{\varphi}$ be
a copy of the group $G$, isomorphic via $\varphi : G \rightarrow
G^{\varphi}$, given by $g \mapsto g^{\varphi}$. The following group construction was introduced
and analyzed in \cite{Sidki} $$ \chi(G) = \langle G \cup G^{\varphi} \mid [g,g^{\varphi}]=1, \forall g \in G \ran... | {
"timestamp": "2020-08-20T02:03:50",
"yymm": "2008",
"arxiv_id": "2008.08192",
"language": "en",
"url": "https://arxiv.org/abs/2008.08192"
} |
\section{Introduction}
The classical one-dimensional deterministic Saint-Venant system of
shallow water equations is,
\begin{equation}\label{eq:swed1}
\begin{aligned}
&(h)_t+(q)_x = 0,\\
&(q)_t+\left(\frac{q^2}{h}+\frac{1}{2}gh^2\right)_x = -ghB_x,
\end{aligned}
\end{equation}
where $h=h(x,t)$ i... | {
"timestamp": "2020-12-21T02:05:45",
"yymm": "2008",
"arxiv_id": "2008.08154",
"language": "en",
"url": "https://arxiv.org/abs/2008.08154"
} |
\section{Introduction}
Landau paradigm constitutes a cornerstone for the understanding of phases of many-body systems~\cite{Landau1978}.
It classifies different phases through the analysis of local order parameters that, assuming a non-zero value, signal the rise up of specific orders.
In classical settings, this par... | {
"timestamp": "2020-08-20T02:00:25",
"yymm": "2008",
"arxiv_id": "2008.08102",
"language": "en",
"url": "https://arxiv.org/abs/2008.08102"
} |
\section{Introduction}
We will mainly adopt the notation from the book~\cite{StiebSTF-Book}. Graphs in this paper are simple, i.e., finite, undirected, without loops or multiple edges. Let $G$ be a graph. A {\it $k$-edge-coloring\/} of $G$ is a map $\varphi$: $E(G) \rightarrow \{1, 2, \dots, k\}$ that assigns to e... | {
"timestamp": "2020-08-20T02:01:18",
"yymm": "2008",
"arxiv_id": "2008.08135",
"language": "en",
"url": "https://arxiv.org/abs/2008.08135"
} |
\subsection*{Overview: } In the next section we give a high level overview of the Multi-Scale Merge-Split Algorithm. In Section~\ref{sec:TargetMeaasure}, we describe the family of target measure which we use the Multi-Scale Merge-Split proposal to sample from.
We also describe the general setting in which we will work ... | {
"timestamp": "2020-08-19T02:23:26",
"yymm": "2008",
"arxiv_id": "2008.08054",
"language": "en",
"url": "https://arxiv.org/abs/2008.08054"
} |
\section{Introduction}
A Sobol' sequence
is an infinite sequence of points $\boldsymbol{u}_1,\boldsymbol{u}_2,\dots\in[0,1]^d$
constructed to fill out the unit cube with low
discrepancy, meaning that a measure of the distance between the
discrete uniform distribution on $\boldsymbol{u}_1,\dots,\boldsymbol{u}_n$
and the... | {
"timestamp": "2020-12-11T02:04:12",
"yymm": "2008",
"arxiv_id": "2008.08051",
"language": "en",
"url": "https://arxiv.org/abs/2008.08051"
} |
\section{Introduction}
\label{sec:intro}
The problem of compressed sensing (CS) has emerged as a powerful tool to retrieve an unknown \emph{sparse} vector with a few nonzero entries in some unknown coordinates, from a small set of measurements, obtained using a sensing matrix~\cite{candes2006robust}. The recovery probl... | {
"timestamp": "2020-08-19T02:22:42",
"yymm": "2008",
"arxiv_id": "2008.08031",
"language": "en",
"url": "https://arxiv.org/abs/2008.08031"
} |
\section{Introduction}
The purpose of this paper is to establish stationary scattering theory for
repulsive Hamiltonians given by
\begin{equation*}
H_\alpha = \tfrac12p^2-\tfrac12|x|^\alpha+q(x) \quad\text{on}\ L^2(\R^d),
\end{equation*}
where $0<\alpha<2$, $p=-i\partial$ and $q$ is a perturbation.
We assum... | {
"timestamp": "2020-08-20T02:05:07",
"yymm": "2008",
"arxiv_id": "2008.08214",
"language": "en",
"url": "https://arxiv.org/abs/2008.08214"
} |
\section{Introduction}
In the paper, we consider solving the following stochastic mini-optimization problem:
\begin{align} \label{eq:1}
\min_{x \in \mathcal{X}} f(x)=\mathbb{E}_{\xi\sim \mathcal{D}}[f(x;\xi)],
\end{align}
where $f(x)$ is a differentiable and possibly non-convex function, and $\mathcal{X}\subseteq \mat... | {
"timestamp": "2021-03-02T02:36:17",
"yymm": "2008",
"arxiv_id": "2008.08170",
"language": "en",
"url": "https://arxiv.org/abs/2008.08170"
} |
\subsection{Technical Overview}
Sampling (almost) uniformly distributed edges is equivalent to sampling vertices with probability (almost) proportional to their degree $\frac{d(v)}{2m}$.\footnote{Since if every $v$ is sampled with probability in $(1\pm {\epsilon})\frac{d(v)}{2m}$, performing one more uniform neighbor ... | {
"timestamp": "2021-07-21T02:02:41",
"yymm": "2008",
"arxiv_id": "2008.08032",
"language": "en",
"url": "https://arxiv.org/abs/2008.08032"
} |
\section{Introduction}\label{sec_introduction}
Robust and fast landmark localization is an essential step in medical imaging analysis applications including biometric measurements of anatomical structures \cite{payer2016regressing}, registration of 3D volumes \cite{lian2018hierarchical} and extraction of 2D clinical st... | {
"timestamp": "2020-09-29T02:21:33",
"yymm": "2008",
"arxiv_id": "2008.08055",
"language": "en",
"url": "https://arxiv.org/abs/2008.08055"
} |
\section{Supplemental Material}
This Supplemental Material contains derivations of correlation functions of decay operators for a fully-inverted 1D atomic array, further details on the limits of superradiance, properties of non-exponential decay for experimentally-accessible states, and a discussion on the role of imp... | {
"timestamp": "2020-12-25T02:02:56",
"yymm": "2008",
"arxiv_id": "2008.08139",
"language": "en",
"url": "https://arxiv.org/abs/2008.08139"
} |
\section{Introduction}
With the prevalence of Internet of Things (IoTs) technology, information sensing equipment (such as sensors, RFID tags, and so on) always generate massive amounts of data per second. It is essential for humans to discover hidden and useful information from this rich data. Agrawal \textit{et al.}... | {
"timestamp": "2020-08-20T02:03:48",
"yymm": "2008",
"arxiv_id": "2008.08190",
"language": "en",
"url": "https://arxiv.org/abs/2008.08190"
} |
\section{Introduction}
\IEEEPARstart{I}{n many} robotics applications, the task-relevant state, such as position or velocity, cannot be directly measured and is only partially observed. Instead, the hidden or latent state must be recovered from high-dimensional sensory inputs. Similarly, the accompanying dynamics of ... | {
"timestamp": "2020-08-20T02:02:17",
"yymm": "2008",
"arxiv_id": "2008.08157",
"language": "en",
"url": "https://arxiv.org/abs/2008.08157"
} |
\section{Discussion and Conclusion}
We proposed a complete system for dance motion synthesis from audio input, and we have shown that we can handle highly diverse dance movements using widely available online dance videos as training.
We have also introduced a new large-scale motion dataset, as well as new evaluation ... | {
"timestamp": "2020-08-20T02:03:23",
"yymm": "2008",
"arxiv_id": "2008.08171",
"language": "en",
"url": "https://arxiv.org/abs/2008.08171"
} |
\section{Introduction}
The abelian equivalence relation has been an active topic of research in the recent decades.
Two finite words $u$ and $v$ are called \emph{abelian equivalent} if, for each letter $a$ of
the underlying alphabet $\Sigma$, the words $u$ and $v$ contain equally many occurrences of
$a$. The notion ha... | {
"timestamp": "2021-08-04T02:05:36",
"yymm": "2008",
"arxiv_id": "2008.08125",
"language": "en",
"url": "https://arxiv.org/abs/2008.08125"
} |
\section{Introduction}
Humans learn to use language
over the course of their lives from the interactions they have with the world and other people.
Yet, the prevailing dominant paradigm in natural language processing (NLP) research is to build a fixed dataset from which to train a model and then freeze it, without an... | {
"timestamp": "2020-08-20T02:17:00",
"yymm": "2008",
"arxiv_id": "2008.08076",
"language": "en",
"url": "https://arxiv.org/abs/2008.08076"
} |
\section{Introduction}
The rapidly increasing amount of data and the need for long-term data storage have led to new challenges.
In recent years, advances in DNA sequencing, synthesis, and editing technologies~\cite{yazdi2015dna,tang2019single} have made deoxyribonucleic acid (DNA) a promising alternative to convention... | {
"timestamp": "2020-08-20T02:03:29",
"yymm": "2008",
"arxiv_id": "2008.08174",
"language": "en",
"url": "https://arxiv.org/abs/2008.08174"
} |
\section{Introduction}\label{sec:introduction}
Over the last decade, deep learning systems have steadily advanced the state-of-the-art in benchmark competitions, culminating in super-human performance in tasks ranging from image classification to language translation to game play. One might expect the trained networks ... | {
"timestamp": "2020-08-24T02:16:36",
"yymm": "2008",
"arxiv_id": "2008.08186",
"language": "en",
"url": "https://arxiv.org/abs/2008.08186"
} |
\section{Introduction}
\label{sec:Introduction}
Black holes (BHs) are a key prediction of general relativity. There are a plethora of observations indicating their existence in the solar~\cite{2006ARA&A..44...49R} or intermediate-mass~\cite{Lin:2020exl} range. In particular, the existence of binary black holes in the... | {
"timestamp": "2020-09-10T02:20:42",
"yymm": "2008",
"arxiv_id": "2008.08077",
"language": "en",
"url": "https://arxiv.org/abs/2008.08077"
} |
\section{Introduction}
\label{sec:intro}
\IEEEPARstart{I}{n} the past decades, optical transmission systems have been developing rapidly \cite{Kachris_2012}. The capacity crunch in standard single-mode fiber (SMF) imposes a limit in further scaling the capacity of optical communication systems \cite{Richardson_2013}. ... | {
"timestamp": "2020-08-19T02:22:53",
"yymm": "2008",
"arxiv_id": "2008.08034",
"language": "en",
"url": "https://arxiv.org/abs/2008.08034"
} |
\section{Introduction}
\setcounter{equation}{0}
First introduced by \cite{benakiva-1972} in the context of travel demand modeling and extended by \cite{mcfadden-1978} in the context of resdiential location choice, the nested logit model is widely used in the marketing and transportation science literatures ... | {
"timestamp": "2020-08-19T02:23:13",
"yymm": "2008",
"arxiv_id": "2008.08048",
"language": "en",
"url": "https://arxiv.org/abs/2008.08048"
} |
\section{Introduction}
Cardiovascular disease is one of the major causes of human death worldwide. The shape of the left ventricle (LV) myocardium (MYO) wall plays an important role in diagnosis of cardiac disease, and in surgical and other invasive cardiac procedures~\cite{medrano2015statistical}.
It allows the subseq... | {
"timestamp": "2020-08-20T02:03:59",
"yymm": "2008",
"arxiv_id": "2008.08194",
"language": "en",
"url": "https://arxiv.org/abs/2008.08194"
} |
\section{Introduction}
\newlength{\szerkol}
\setlength{\szerkol}{0.4\textwidth}
\begin{figure*}
\begin{center}
\begin{tabular}{|c|c|}
\hline
\includegraphics[width=\szerkol,clip]{NGC2770_HI_15_mom0.eps} &
\includegraphics[width=\szerkol,clip]{NGC2770_HI_15_mom1.eps} \\
\hline
\includegraphics[width=\szerkol,clip... | {
"timestamp": "2020-08-20T02:00:14",
"yymm": "2008",
"arxiv_id": "2008.08091",
"language": "en",
"url": "https://arxiv.org/abs/2008.08091"
} |
\section{Introduction}
\label{sec:introduction}
Sign languages (SL) are the primary means of communication for an estimated 466 million deaf
\footnote{We follow the recognized convention of using the upper-cased word Deaf which refers to the culture and describes members of the community of sign language users and t... | {
"timestamp": "2021-04-02T02:36:12",
"yymm": "2008",
"arxiv_id": "2008.08143",
"language": "en",
"url": "https://arxiv.org/abs/2008.08143"
} |
\section{Introduction}
\input{intro.tex}
\section{Preliminaries}
\input{preliminaries.tex}
\section{Estimation under Deterministic Conditions}
\input{deterministic.tex}
\section{Finite Sample Concentration}
\input{finite-concentration.tex}
\section{Simple but Failed Attempts and Pre-processing via Hashing}
\input{pr... | {
"timestamp": "2021-05-04T02:30:23",
"yymm": "2008",
"arxiv_id": "2008.08071",
"language": "en",
"url": "https://arxiv.org/abs/2008.08071"
} |
\section{\label{sec:intro}Introduction}
Quantum computing is emerging as a new computational paradigm for the solution, among others, of quantum mechanical many-body problems.
In particular, in the recent years we have witnessed a rapid development of quantum algorithms in electronic structure calculations of both gr... | {
"timestamp": "2020-08-20T02:01:51",
"yymm": "2008",
"arxiv_id": "2008.08144",
"language": "en",
"url": "https://arxiv.org/abs/2008.08144"
} |
\section{Introduction}
A domain wall is a nonlinear excitation that interpolates between two different ground states, playing an important role in both equilibrium and out-of-equilibrium phase transitions with discrete symmetry breaking~\cite{bunkov2012topological,manton2004topological,eto2014vortices,bunkov2012topo... | {
"timestamp": "2021-04-16T02:05:26",
"yymm": "2008",
"arxiv_id": "2008.08175",
"language": "en",
"url": "https://arxiv.org/abs/2008.08175"
} |
\section{Introduction} \label{sec:intro}
The hypothesis of a light, weakly coupled `dark' or `hidden' sector has received considerable attention in recent years.
Though neutral under the Standard Model (SM) gauge group, dark sectors may exhibit rich dynamics, such as new forms of matter, new dark symmetries and fo... | {
"timestamp": "2020-08-20T02:00:36",
"yymm": "2008",
"arxiv_id": "2008.08108",
"language": "en",
"url": "https://arxiv.org/abs/2008.08108"
} |
\section{Introduction}
Axion-like particles (ALPs) are ultra-light pseudo-scalar bosons $a$ with a two-photon vertex $a \gamma \gamma$,
predicted by several extensions of the Standard Model (for a review, see~\cite{Jaeckel:2010ni,DiLuzio:2020wdo}).
The two-photon coupling allows the conversion of ALPs into photons, $a... | {
"timestamp": "2020-08-20T02:00:24",
"yymm": "2008",
"arxiv_id": "2008.08100",
"language": "en",
"url": "https://arxiv.org/abs/2008.08100"
} |
\section{Introduction}
\subsection{Continuous PAM and AH}
The continuous parabolic Anderson model (PAM) is defined as the
solution $u(t,x)$ of a random heat equation of the form
\begin{align}
\label{Equation: General PAM}
\begin{cases}
\partial_tu(t,x)=\tfrac12\De u(t,x)+\xi(x)u(t,x)\\
u(0,x)=u_0(x)
\end{cases},
\q... | {
"timestamp": "2021-05-26T02:01:44",
"yymm": "2008",
"arxiv_id": "2008.08116",
"language": "en",
"url": "https://arxiv.org/abs/2008.08116"
} |
\section{Introduction}
Let $\mathcal{J}$ denote a Euclidean Jordan algebra~\cite{faraut1994analysis}
of rank $n$ with multiplication operator $\circ : \mathcal{J} \times \mathcal{J} \rightarrow \mathcal{J}$, identity $e \in \mathcal{J}$,
and trace inner-product $\langle x, y \rangle:= \tr x \circ y$.
This paper cons... | {
"timestamp": "2020-08-19T02:23:08",
"yymm": "2008",
"arxiv_id": "2008.08047",
"language": "en",
"url": "https://arxiv.org/abs/2008.08047"
} |
\section{Introduction}
The past decade has witnessed the widespread deployment of Mobility-on-Demand services, thanks to the rapid adoption of smartphones, developments in wireless communication, and the boom of shared economies. These services, e.g., the ride-hailing services provided by Uber and DiDi, present imme... | {
"timestamp": "2020-08-20T02:01:09",
"yymm": "2008",
"arxiv_id": "2008.08131",
"language": "en",
"url": "https://arxiv.org/abs/2008.08131"
} |
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