uuid int64 541B 3,299B | dataset stringclasses 1
value | text stringlengths 1 4.29M |
|---|---|---|
2,869,038,155,428 | arxiv | \section{Introduction}
\label{sec:intro}
Quantum computation has shown advantages over classical computation in solving some intractable computational problems based on the unique properties of quantum mechanics. In recent years, tremendous advances have been made in quantum technologies, in both theory and experiment,... |
2,869,038,155,429 | arxiv | \section{Introduction}
\begin{figure}[!th]
\includegraphics[width=0.44\linewidth]{Billiard.pdf}
\includegraphics[width=0.54\linewidth]{BottomPlate.pdf}
\caption{Left panel: Schematic view of the Dirac billiard, which comprises 1033 metallic cylinders (gray disks) arranged on a triangular grid. In the upmost inset, red... |
2,869,038,155,430 | arxiv | \section{Introduction}
One strategy when studying representations of a family of groups is to find a category where the automorphism groups are the groups of interest. A functor from this category into some some category of modules amounts to a family of representations of the groups equipped with some extra data. T... |
2,869,038,155,431 | arxiv | \section{Introduction}
\label{sec:introduction}
Intersections of Schubert varieties in the Grassmanian provide the prototypical examples of many phenomena in geometry, representation theory and combinatorics. Let \( V \) be a finite dimensional complex vector space and \( \Gr(r,V) \), the \emph{Grassmanian} variety of... |
2,869,038,155,432 | arxiv | \section*{SUMMARY}
Despite advances in artificial intelligence models, neural networks still cannot achieve human performance, partly due to differences in how information is encoded and processed compared to human brain. Information in an artificial neural network (ANN) is represented using a statistical method and p... |
2,869,038,155,433 | arxiv | \section{Introduction}
The famous article by Landesman and Lazer \cite{L} considered a
semilinear Dirichlet problem at resonance (on a bounded domain $D \subset \mathbb{R}^n$)
\begin{equation} \label{i1}
\Delta u+\lambda_k u+g(u)=f(x), \quad x \in D, \quad u=0 \quad \text{on } \partial D\,.
\end{equation}
A... |
2,869,038,155,434 | arxiv | \section{Noise channels Kraus operators}\label{Noise_channels_Kraus}
To take account of noise in HBAC, we analyze the following noise channels. The single-qubit noise channels' Kraus operators are as follows \cite{nielsen_chuang_2010}
\begin{enumerate}
\item
Generalized amplitude damping channel:
\begin{align}
E_0&=
\... |
2,869,038,155,435 | arxiv | \section{Introduction}
The mean-field game (MFG) theory, introduced by the authors of \cite{caines2013mean} and \cite{lasry2007mean} almost concurrently, provides a powerful framework to study stochastic dynamic games where
(i) the number of players involved in the game is large, (ii) each individual player's impac... |
2,869,038,155,436 | arxiv | \section{Beam Diagnostics}
\subsection{Beam Intensity and Position/Angle Monitoring}
As with all parity-violation experiments, highly linear, low noise beam property measurements are needed in
order to correct helicity-correlated false asymmetries. The $Q_{weak}\;${} experiment will use the beam monitoring
already ... |
2,869,038,155,437 | arxiv | \section{Introduction}
Similar to domains such as social networks or social tagging systems~\cite{lacic2014recommending,seitlinger2015attention,kowald2013social}, the personalization of online content has become one of the key drivers for news portals to increase user engagement and convince readers to become paying ... |
2,869,038,155,438 | arxiv | \section{Introduction and Motivation}
The minimal supergravity model (mSUGRA)~\cite{sugra} is commonly regarded as
the paradigm framework for phenomenological analyses of weak scale
supersymmetry. The visible sector is taken to consist of the particles
of the Minimal Supersymmetric Standard Model\cite{mssm}
(MSSM).
... |
2,869,038,155,439 | arxiv | \section{Introduction}
Data synthesis, as can be conveniently performed in graphic engines, provides valuable convenience and flexibility for the computer vision area~\cite{richter2016playing,sakaridis2018semantic,ruiz2019learning,tremblay2018training,sun2019dissecting}. One can synthesize a large amount of training d... |
2,869,038,155,440 | arxiv | \section{Comparison of different approaches to emulate ATLAS \ensuremath{\mathrm{VV}\rightarrow\mathrm{JJ}}\xspace analysis}
\label{app-Avvjj}
\par The expected limits obtained in the emulation of the ATLAS \ensuremath{\mathrm{VV}\rightarrow\mathrm{JJ}}\xspace channel show a 40\% discrepancy with respect to the offici... |
2,869,038,155,441 | arxiv | \section{Introduction}
\label{section:introduction}
Much has been learned about the structure and formation of the Milky
Way Galaxy from studies of its globular cluster system. The key
historical development in this area was Shapley's use of globular
clusters to investigate the structure of the Galaxy and the location... |
2,869,038,155,442 | arxiv | \section{Introduction}
Phononic crystals have experienced an increasing interest in recent years because of their potential applications to acoustic filters \cite{Romero}, the control of vibration isolation \cite{Hussein}, noise suppression, and the possibility of building new transducers \cite{Wu}; for a review see \c... |
2,869,038,155,443 | arxiv | \section*{Abstract}
We theoretically study the role of excitatory and inhibitory interactions
in the aggregations of male frogs.
In most frogs, males produce sounds to attract conspecific females,
which activates the calling behavior of other males and results in collective choruses.
While the calling behavior is qu... |
2,869,038,155,444 | arxiv | \section{Introduction}
\label{sec:introduction}
In recent years, the complexity of data used to make decisions has increased dramatically. A prime example of this is the use of online reviews to decide whether to purchase a product or visit a local business; we refer to the objects being reviewed as \emph{items}. Cons... |
2,869,038,155,445 | arxiv | \section{Introduction}
A honeycomb monolayer of carbon atoms, known as {\it graphene} \cite{N, Cas, Sar, Kot}, has played an important role in condensed matter research. The undoped system has conical valence \cite{W, Feff1, Feff3} and conduction bands meeting at two different Fermi points, also called the Dirac poin... |
2,869,038,155,446 | arxiv | \section{Introduction}
Theoretical treatment of many-particle systems is connected with a number of comp\-li\-ca\-ti\-ons. Some of them can be resolved by introducing the concept of quasiparticle or ``composite particle'', if this is possible. However, in this way we generally en\-co\-un\-ter various factors of the in... |
2,869,038,155,447 | arxiv | \section{Introduction}
Relativistic heavy-ion collisions are well suited to produce hot and
dense matter in the laboratory. Whereas low-energy collisions
create nuclear matter at high baryon chemical potential and
moderate temperature, high-energy collisions at the Relativistic
Heavy-Ion Collider (RHIC) or the Large ... |
2,869,038,155,448 | arxiv | \section{Test cases}\label{sec:cases}
We present results for the optimization of three different DH systems in Denmark. These are located in the cities of Brønderslev, Hillerød and Middelfart.
\subsection{Static data}
The DH systems differ in terms of types and numbers of units as well as the layout of the demand sit... |
2,869,038,155,449 | arxiv | \section{INTRODUCTION}
If the observed $\gamma$-ray bursts originate at cosmological distances (e.g., Paczy{\'n}ski 1991)
then the distance
scale of their distribution must correspond to a redshift of order unity
for the burst intensity distribution to be consistent
with observations (e.g., Paczy{\'n}ski 1991;
Piran... |
2,869,038,155,450 | arxiv | \section{Introduction}
After the struggles to understand the still mysterious
M theory, Matrix theory \cite{r:BFSS} emerged as the most successful
candidate to describe the eleven dimensional theory.
Although it has already passed many nontrivial
tests, there remains nontrivial issues which
needs careful examinations... |
2,869,038,155,451 | arxiv | \section{Introduction}
\label{sec_introduction}
Self-gravitating systems such as globular clusters and galaxies can be
considered as a collection of $N$ stars in gravitational interaction
whose dynamics is described by the Hamilton equations of motion
\cite{bt}. In statistical mechanics, this situation is associated ... |
2,869,038,155,452 | arxiv | \section{Introduction}
The problem of simulating the dynamics of quantum systems was the original motivation for quantum computers \cite{Fey82} and remains one of their major potential applications. Although classical algorithms for this problem are inefficient, a significant fraction of the world's computing power ... |
2,869,038,155,453 | arxiv | \section{Introduction}
We discuss here a novel method for unsupervised spatio-temporal change detection in multi-temporal SAR/POLSAR images. WECS is based upon correlation screening for energy apportionment on wavelet approximations. The spatial character of the change detection is attained on pixel level. The method ... |
2,869,038,155,454 | arxiv | \section{Introduction}
The Sachdev-Ye-Kitaev (SYK) models \cite{SaYe93,Kit.KITP.2} of fermions with random interactions have been the focus of much recent attention in both the quantum gravity and the condensed matter literature. The majority of this work has focused on the model with Majorana fermions, which has no ... |
2,869,038,155,455 | arxiv | \section{Introduction}
\label{sec:intro}
Discretely holomorphic observables are correlations functions in a two-dimensional
lattice model which satisfy a discrete version of the Cauchy--Riemann (CR) equations.
In the context of the Ising model, lattice fermions with this type of property
were first described in~\cite{D... |
2,869,038,155,456 | arxiv | |
2,869,038,155,457 | arxiv | \section*{Calculation of lesser and greater Green's functions}
\label{app:lessgreat}
\subsection{Lesser Green's function: $G^< (x,t,y,t')$}
\label{sec:grLes}
We provide here the details of the calculation for the lesser Green's function $G^<(x,t,y,t')$ for a $N$-particle TG gas.
The lesser Green's function is defined ... |
2,869,038,155,458 | arxiv | \section{Introduction}
Humans possess a natural yet remarkable ability of seamlessly transferring and sharing knowledge
across multiple related domains while doing inference for a given task. Effective mechanisms
for sharing \emph{relevant} information across multiple prediction tasks (referred as \emph{multi-task ... |
2,869,038,155,459 | arxiv | \section{Introduction}
The success of 2D spectroscopy derives from its ability to correlate electronic transitions at ultrafast time delays, by achieving high resolutions both in frequency and in time.\cite{10.1088/978-0-750-31062-8,doi:10.1146/annurev.physchem.54.011002.103907,doi:10.1002/andp.201300153,GELZINIS20192... |
2,869,038,155,460 | arxiv | \section{Introduction}
The Calogero-Sutherland model (CSM)
\cite{Calogero-1969,Sutherland-1971} describes particles moving on a
circle and interacting through an inverse $\sin$-square potential.
The Hamiltonian of the model reads \begin{equation}
\label{CSM}
{\cal H}_{CSM} = \frac{1}{2}\sum_{j=1}^{N}p_j^{2}
... |
2,869,038,155,461 | arxiv | \section{Introduction}
Over the last decade, robotic systems have witnessed a great increase in popularity and are used in increasingly complex applications like search and rescue \cite{erdelj2017help}, exploration and mapping \cite{losch2018design}, etc. However, accurate and robust state estimation in these scenarios... |
2,869,038,155,462 | arxiv | \section{Introduction}
In this paper we are going to study the zero temperature dynamics of the one
dimensional spin-$\frac{1}{2}$ antiferromagnetic Heisenberg model
\begin{equation}\label{hop}
H \equiv 2 \sum_{x=1}^N \vec{S}(x) \vec{S}(x+1) - 2 B \sum_{x=1}^N S_3 (x),
\end{equation}
in the presence of a uniform ex... |
2,869,038,155,463 | arxiv | \section{Introduction}
Attention-based deep learning models for natural language processing (NLP) have shown promise for a variety of machine translation and natural language understanding tasks. For word-level, sequence-to-sequence tasks such as translation, paraphrasing, and text summarization, attention-based models... |
2,869,038,155,464 | arxiv | \section{Introduction}
A \emph{partial order} of a set $X$ is a reflexive, asymmetric and transitive binary relation on $X$. When the relation is total the order is called a \emph{linear order}, since it captures the idea of ordering the elements of $X$ in a line. In contrast, to capture the idea of ordering a set $X... |
2,869,038,155,465 | arxiv | \section{Introduction}\label{Intro}
\IEEEPARstart{A}{utomatic} control systems have had a wide impact in multiple fields, including finance, robotics, manufacturing, and automobiles. Decision automation has gained relatively little attention, especially when compared to decision support systems where the primary aim i... |
2,869,038,155,466 | arxiv | \section{Introduction}
Let $X$ be a compact Hausdorff space and let $C(X)$ be the Banach algebra of complex-valued continuous functions on $X$. We say that $F : C(X) \to C(X)$ is \emph{entire} (in the sense of Lorch) if it is Fr\'{e}chet differentiable at every point $w \in C(X)$ and its differential is given by a mul... |
2,869,038,155,467 | arxiv | \chapter{Introduction}
\indent
\input{introduction}
\chapter{The CAPTAIN Detector}
\indent
\input{detector}
\chapter{Neutrons}
\indent
\input{neutrons}
\chapter{Neutrinos}
\indent
\input{neutrinos}
\chapter{Conclusions}
\indent
\input{conclusions}
\newpage
\section{Cryostats}
The CAPTAIN proj... |
2,869,038,155,468 | arxiv | \section{Introduction}
Vortex pinning by material defects \cite{CampbellEvetts_2006} determines the
phenomenological properties of all technically relevant (type II)
superconducting materials, e.g., their dissipation-free transport or magnetic
response. Similar applies to the pinning of dislocations in metals
\cite{Ka... |
2,869,038,155,469 | arxiv | \section{Appendix A}\label{B}
Here we describe an example illustrating how adiabatic dephasing Lindbladian, with slaved dephasing term, naturally arise from stochastic unitary evolutions.
The example is a stochastic variant of Berry's paradigm of the notion of adiabatic curvature, namely, a spin 1/2 in a magnetic fiel... |
2,869,038,155,470 | arxiv | \chapter{Introduction}
\section{Goals}
In this work we provide algorithms\footnote{See~(\ref{eq:AlgI}) in Theorem~\ref{thm:II} and~(\ref{eq:AlgII}) in Theorem~\ref{thm:III}.} approximating the bivector $\displaystyle \partial_{\ell_1} s_{(x)} \wedge \partial_{\ell_2} s_{(x)}$ and the integral $\displaystyle \int_P \... |
2,869,038,155,471 | arxiv | \section*{Results}
\textbf{The principle of quantum interference.} HOM interference,
a basic type of quantum interference that reflects the bosonic properties
of a single particle, is generally used to test the quantum properties
of single plasmons \cite{Hong}. In addition to its fundamental importance
within qu... |
2,869,038,155,472 | arxiv | \section{Introduction}
\numberwithin{equation}{section}
Historically, gravitational instantons have been explored with the same motivations similar to gauge instantons: to describe the non-perturbative transitions in quantum gravity, and by analytic continuation producing real-time gravitational backgrounds \... |
2,869,038,155,473 | arxiv | \section{Introduction}
Matrix product states (MPS) were first developed by the physics community as compact representations of often intractable wave functions of complex quantum systems~\citep{perez2006matrix,Klumper1993MatrixPG,fannes1992finitely}, in parallel with the equivalent tensor-train decomposition~\citep{Os... |
2,869,038,155,474 | arxiv | \section{Introduction}
Reconfigurable intelligent surface (RIS) is a passive planar array that can control the reflection and either perform beam-steering and beam-focusing or split
the incident beam into multiple reflected beams \cite{yurduseven2020intelligent}.
Such surfaces have a potential for capacity improvement... |
2,869,038,155,475 | arxiv | \section{Introduction}
\label{sec:intro}
Nonlinear resonance is a mechanism by which energy is continuously transferred between a small number of linear wave modes. This phenomenon, first observed in Wilton's analysis of gravity-capillary wave trains \cite{Wilton1915}, has been the subject of frequent investigation ov... |
2,869,038,155,476 | arxiv | \section{Introduction}
In this paper we present a new mathematical formalism for describing a massive relativistic particle with spin one. In this formalism, we use a four-dimensional transition from the Heisenberg to the Schr\"odinger picture. In quantum mechanics, the transition from the Heisenberg to the... |
2,869,038,155,477 | arxiv | \section{Introduction}
The Kondo effect, found originally for systems with magnetic impurities in
metals is now present in a variety of nanoscopic systems, including
semiconducting quantum dots \cite{kou}, magnetic adatoms on surfaces \cite{kou,lobos,trimer}
and carbon nanotubes \cite{nyg}. In the latter, in
ad... |
2,869,038,155,478 | arxiv | \section{Introduction and Preliminaries}
Over a period of several hundred years theoretical physics has been developed on the basis of real and complex analysis.
However, for the past half a century the field of p-adic numbers $\Qp$ (as well as its algebraic extensions) has been intensively used in theoretical and ... |
2,869,038,155,479 | arxiv | \section{Introduction and some upper bounds}
Consider the two-dimensional Euler equation for the vorticity
\begin{equation}
\dot\theta=\nabla\theta \cdot \psi, \quad \psi=\nabla^\perp
\Delta^{-1}\theta, \quad \theta(x,y,0)=\theta_0(x,y) \label{euler}
\end{equation}
and $\theta$ is $2\pi$--periodic in both $x$ and $y$ ... |
2,869,038,155,480 | arxiv | \section{Introduction}\label{sec: Introduction}
In recent years the puzzling existence of dark matter and dark energy, which cannot be explained either by Einstein's General theory of relativity (GR) or the Standard model of elementary particles, suggests that alternative models have to be kept in mind.
\\
\indent Fr... |
2,869,038,155,481 | arxiv |
\section{Introduction}
\label{sec:intro}
Deep learning ranking models increasingly represent the state-of-the art in ranking documents with respect to a user query. Different neural architectures \cite{drmm,duet,knrm} are used to model interaction between query and document text to compute relevance. These models rely... |
2,869,038,155,482 | arxiv | \section*{Acknowledgment}
The research reported herein was partly funded by Fonds pour la Formation \`a la Recherche dans l'Industrie et dans l'Agriculture (F.R.I.A.). The authors also want to thank Nicolas Boumal, the founder of the Manopt toolbox, for his precious advice.
\ifCLASSOPTIONcaptionsoff
\newpa... |
2,869,038,155,483 | arxiv | \section{Introduction}
Deep-inelastic scattering (DIS) remains the most important probe of
quantum chromodynamics (QCD) since it was pioneered almost fifty years ago.
Various dedicated experiments have been carried out since then aiming to
study the internal structure of nucleons, e.g., the HERA experiments
by collidin... |
2,869,038,155,484 | arxiv | \section{Introduction}
The anomalous magnetic moment of the muon constitutes both
experimentally and theoretically a clean quantity which makes it an ideal
object for precision studies. The current
experimental value for $a_\mu=(g-2)_\mu/2$
(see Refs.~\refcite{Bennett:2006fi,Roberts:2010cj})
\begin{eqnarray}
a_{\mu}... |
2,869,038,155,485 | arxiv | \section{Introduction}
The discovery of the Higgs boson completed the Standard Model (SM) of particle physics \cite{ATLAS:2012yve,CMS:2012qbp}. However, there are still some loose ends which the SM is unable to connect. For instance the nature of Dark Matter (DM), the generation of neutrino masses or the observed Baryo... |
2,869,038,155,486 | arxiv | \section{Introduction}
\vspace{-.4cm}
As the dimensions of an electronic device are reduced, the power consumption, and concomitant heat generation, increases.
Therefore, a detailed understanding of heat transport at the nanoscale
is critical for the future
development of stable high-density integrated circuits.
F... |
2,869,038,155,487 | arxiv | \section{Introduction}
The experimental realization of highly population-imbalanced atomic gases has
dramatically improved our understanding of the properties of mobile impurities in a quantum
medium. Using Feshbach resonances~\cite{Chin2010} to tune the interaction
between the impurity and the reservoir, cold-ato... |
2,869,038,155,488 | arxiv | \section{Introduction}
\label{section_introduction}
Dust from the Martian surface is regularly swept up by winds to form
local, regional, or sometimes even planet-wide dust storms.
The airborne dust particles scatter and absorb solar radiation
and are therefore very important for the thermal structure of
the thin Ma... |
2,869,038,155,489 | arxiv | \section{Experimental results}\label{sec:results}
UED measurements of pulsed laser deposited VO$_2$ films (50 nm) reveal rich pump-fluence dependent dynamics up to the damage threshold of $\sim$40~mJ/cm$^2$ (35 fs, 800 nm, $f_{\textup{rep}}=50-200~$Hz). Figure~\ref{FIG:pump-probe}~(a) shows a typical one-dimensional po... |
2,869,038,155,490 | arxiv | \section{Introduction}
Modeling the human behavior has always been an attempt of several scientists, and with social networks this task can be done in many perspectives. Social networks allow people to interact on the Internet as they do in the real world, sharing their lives through text messages, photos, videos, a... |
2,869,038,155,491 | arxiv | \section{Introduction}
Recently, there has been an increased research effort in exploring adversarial examples which fool machine learning classifiers~\citep{Goodfellow2015, Kurakin2017AdversarialWorld, Szegedy2014,Yuan2017}. The majority of the existing research focuses on the image domain, where an example is gener... |
2,869,038,155,492 | arxiv | \section{Introduction}
Inverse semigroups provide an algebraic framework to study partial dynamical systems and groupoids. This relation is described by noncommutative Stone duality, extending the classical duality between totally disconnected Hausdorff spaces and generalized Boolean algebras to a duality between amp... |
2,869,038,155,493 | arxiv | \section{\@startsection {section}{1}{\z@}{-3.5ex plus -1ex minus
-.2ex}{2.3ex plus .2ex}{\normalsize\bf}}
\def\@startsection{subsection}{2}{\parindent{\@startsection{subsection}{2}{\parindent}
{.25ex plus 1ex minus .2ex}{-.3em}{\normalsize}}
\def\subsubsection{\@startsection{subsubsection}{3}{\z@}{-3.25ex plus
-1ex m... |
2,869,038,155,494 | arxiv | \section{Introduction}
Decarbonising global energy systems is at the core of climate change mitigation. The expansion of renewable energies is one important measure to attain this goal \cite{Jaegemann2013,Dagoumas2019}.
Globally, wind power and solar PV have been the renewable energy sources with the highest growth ra... |
2,869,038,155,495 | arxiv | \section{Introduction}
\label{sec:intro}
Modern machine learning (ML) methods are driven by complex, high-dimensional, and nonparametric models that can capture highly nonlinear phenomena. These models have proven useful in wide-ranging applications including vision, robotics, medicine, and natural language. At the sa... |
2,869,038,155,496 | arxiv |
\section{Introduction}
Mechanical ventilation is a widely used treatment with applications spanning anaesthesia \citep{coppola2014protective}, neonatal intensive care \citep{van2019modes}, and life support during the current COVID-19 pandemic \citep{meng2020intubation, wunsch2020mechanical, mohlenkamp2020ventilat... |
2,869,038,155,497 | arxiv | \chapter*{Executive Summary}
\addtocentrydefault{chapter}{}{Executive Summary}
\markboth{Executive Summary}{Executive Summary}
\ifx1\undefined\else
This deliverable reports on the activities in EuroLab-4-HPC WP2 Research during the final year (M13 to M24) of the project. It contains the EuroLab-4-HPC Long-Term Vision ... |
2,869,038,155,498 | arxiv | \section{The MALT90 Survey}
The Millimeter Astronomy Legacy Team Survey at 90 GHz (MALT90) will characterize the physical and chemical conditions of dense molecular clumps associated with high-mass star formation over a wide range of evolutionary states. MALT90 uses the Mopra Spectrometer (MOPS) and the fast mapping ca... |
2,869,038,155,499 | arxiv | \section{Introduction}
Nowadays, transportation is predominantly dependent on motor vehicles, which has resulted in a practical problem in urban areas, traffic congestion. In 2014, congestion caused urban Americans to spend a cost of \$160 billion on substantial delays and extra fuel consumption \citep{schrank20152015... |
2,869,038,155,500 | arxiv | \section{INTRODUCTION\label{intro}}
Detections of multiple main sequences and giant branches in globular clusters (GC; \mbox{\it e.g.}\ $\omega$Cen, NGC~2808, and NGC~1851;
Bedin \mbox{et al.}\ 2004\citep{bed04}, Piotto \mbox{et al.}\ 2007\citep{pio07}, Han \mbox{et al.}\ 2009\citep{han09}) have challenged
the notion... |
2,869,038,155,501 | arxiv | \section{Introduction}
We develop a new scope of inferential procedures for testing the shape constraints on the regression coefficients in function-on-scalar regression models through the linear operator representation, where functional responses are incompletely observed.
{\color{black} We assume that the functional ... |
2,869,038,155,502 | arxiv | \section{Introduction}
The situation in physical cosmology is currently governed by experiment
(observations) which made an increasing progress for the recent years.
However, the theory of formation of {\it Large Scale Structure} in the
Universe leaves something to be desired while a progress is still there:
the simp... |
2,869,038,155,503 | arxiv | \section{Introduction}\label{Sec:Introduction}
Persistent homology, a method for studying topological features over changing scales, has received tremendous attention in the past decade \cite{Edelsbrunner:2002,Zomorodian:2005}. The basic idea is to measure the life cycle of topological features within a filtration, i.... |
2,869,038,155,504 | arxiv | \section{Introduction}\label{intro}
For any $n\geq 0$, let
\begin{align*
W_n(q)=\sum_{k=0}^{n}\binom{n}{k}^2 q^k
\end{align*}
denote the $n$-th Narayana polynomial of type $B$. Wang and Zhu \cite{WZ16}, and Sokal \cite{Sok15} independently proved that
the Hankel matrix \begin{equation}\label{eq-Hankel-def}
H =(... |
2,869,038,155,505 | arxiv | \section{Introduction}
C*-algebra theory is a blend of algebra and analysis which turns out to be much more than the sum of its parts, as illustrated by its fundamental results of Gelfand duality and the GNS representation theorem. Nevertheless, the C*-algebra axioms seem somewhat mysterious, and it may not be very cl... |
2,869,038,155,506 | arxiv | \section{Introduction}
\label{sec:Introduction}
Future ground-based and space-borne observatories, equipped with large aperture telescopes and sensitive large format detectors will provide broad-band imaging data for more than a billion galaxies. These data are pivotal to better understanding of dark sectors of the U... |
2,869,038,155,507 | arxiv | \section{Lower Bounds in the Classical Radio Broadcast Model}
In this section, we focus on the problem of local broadcast in the classical model and present lower bounds for both progress and acknowledgment times. We emphasize that all these lower bounds are presented for centralized algorithms and also, in the model w... |
2,869,038,155,508 | arxiv | \section{Introduction}
Travel industry actors, such as airlines and hotels, nowadays use sophisticated pricing models to maximize their revenue, which results in highly volatile fares~\cite{Chen2015}. For customers, price fluctuation are a source of worry due to the uncertainty of future price evolution. This situati... |
2,869,038,155,509 | arxiv | \section{Introduction}
A human cannot live alone without the help of others and has to make a relationship with people based on mutual cooperation. This network of cooperation is a foundation of the society. However, ironically, the human is tempted to act selfishly in the society \cite{Hardin1243,RAND2013413}. When o... |
2,869,038,155,510 | arxiv | \section[]{Introduction}
A key feature of gamma-ray bursts (GRBs) is the observed relation
within a burst between the luminosity and the $\nu F_{\nu}$ peak energy
($E_{\rm peak}^{\rm rest}$)
\citep{Golenetskii:1983,Kargatis:1994,Borgonovo:2001,Ryde:2006,Ghirlanda:2010,Lu:2010bj,Zhang:2012fq,Guiriec:2013hl,Burgess:2014}... |
2,869,038,155,511 | arxiv | \section{Introduction}
\label{sec:Int}
Let $\mbb{K}$ be a field of characteristic $0$.
By {\em parameter algebra} over $\mbb{K}$ we mean a complete
local noetherian commutative $\mbb{K}$-algebra $R$, with maximal ideal $\mfrak{m}$, such
that $R / \mfrak{m} = \mbb{K}$. The important example is $R = \mbb{K}[[\hbar]]$, t... |
2,869,038,155,512 | arxiv | \section{Amplitudes}
We consider the following scattering process,
\begin{align}\label{kinematicassignment}
g(p_1, \lambda_1, a_1) + g(p_2, \lambda_2, a_2) \to \gamma(p_3,\lambda_3) + \gamma(p_4,\lambda_4) ,
\end{align}
with on-shell conditions $p_j^2 = 0, j=1,...,4$.
The helicities $\lambda_i$ of the external parti... |
2,869,038,155,513 | arxiv | \section{Introduction}
\label{sec-intro} We consider random walks in random environments on
$\mathbb{Z}^{d}$, $d\geq3$, when the environment is a small perturbation of
the fixed environment corresponding to simple random walk. More precisely, let
$\mathcal{P}$ be the set of probability distributions on $\mathbb{Z}^{d}... |
2,869,038,155,514 | arxiv | \section{Introduction}
A graph $G=(V,E)$ is a \textit{contact graph of paths on a grid} (or \textit{CPG} for short) if there exists a collection $\mathcal{P}$ of interiorly disjoint paths on a grid $\mathcal{G}$ in one-to-one correspondence with $V$ such that two vertices are adjacent in $G$ if and only if the corre... |
2,869,038,155,515 | arxiv | \section{Introduction}
\label{sec:introduction}
\subsection{Price impact}
Liquidity in financial markets is an elusive concept, with many definitions in existence. From a practical point of view, however, one of its most important metrics is the response of price to buying and selling.
This reaction is called \emph{p... |
2,869,038,155,516 | arxiv | \section{Introduction}
The Szeg\"{o} theorem (also known as the strong Szeg\"{o} theorem) is an
interesting asymptotic formula for the restrictions of functions of the
Toeplitz operators as the size of the domain of restriction tends to
infinity. It has a number of applications and extensions pertinent to
analysis, ma... |
2,869,038,155,517 | arxiv | \section{ Additional figures related to the \decay{\Dz}{\Km\pip\pip\pim} test case}
\label{App:AppA}
\begin{figure}[tb]
\hspace*{-3cm}
\includegraphics[width=1.4\linewidth]{Distr_m12_1}
\vspace*{-0.5cm}
\caption{Distributions of $m_{12}$, $m_{23}$, $m_{34}$, $m_{123}$ and $m_{234}$ in the original... |
2,869,038,155,518 | arxiv | \section{Introduction} \label{S:Intro}
\setcounter{equation}{0}
Recently there has been much interest and an evolving theory of
noncommutative function theory and associated multivariable
operator theory and multidimensional system theory with evolution
along a free semigroup; we mention \cite{A-KV, KV-V,... |
2,869,038,155,519 | arxiv | \section{Introduction} \label{sect:intro}
Graphs with or without special patterns for edge crossings are an
important topic in Topological Graph Theory, Graph Drawing, and
Computational Geometry. Particular patterns
are no crossings, single crossings, fans, independent edges, or no three
pairwise crossing edges... |
2,869,038,155,520 | arxiv | \section{Introduction}
The crystallization process we consider here deals with germs $g=(x_g,t_g)$ that appear at random times $t_g$ on random locations $x_g$. The born process $\mathcal{N}$ is a Poisson point process on $\mathbb{R}^d\times\mathbb{R}^+$ with intensity measure denoted by $\Lambda$. Once the germs or cri... |
2,869,038,155,521 | arxiv | \section{Introduction}
Systematic trading strategies are algorithmic procedures that allocate assets aiming to optimize a certain performance criterion. To obtain an edge in a highly competitive environment, the analyst needs to proper fine-tune its strategy, or discover how to combine weak signals in novel alpha creat... |
2,869,038,155,522 | arxiv | \section{Introduction}
Ultra-reliable and low-latency communication (URLLC) is one of the generic applications required to be covered in the fifth-generation (5G) \cite{durisi2016toward,bennis2018ultrareliable,zhang2021ris}.
As a result, it has been attracted significant interests since it enables several innovative ... |
2,869,038,155,523 | arxiv | \section{Tight-binding Hamiltonians}
For the calculation of the relaxation time and resistivity, we rely on the use of a tight-binding model. We adopt a general formulation of the tight-binding approach with Hamiltonian
\begin{align}
H = -\sum_{\langle i,j\rangle} t_{\parallel} (\r_i-\r_j) \; (a_{1,i}^{\dagger}a_{1,j}+... |
2,869,038,155,524 | arxiv | \section{Introduction}
\label{sec-intro}
Given any finite square matrix $B$ with nonnegative integer entries and no
zero rows or columns, Cuntz and Krieger defined a $C^*$-algebra
$\mathcal{O}_B$, which is generated by partial isometries satisfying
relations associated to $B$ \cite{CK1}. Also, given any square matrix ... |
2,869,038,155,525 | arxiv | \section{Estimating the black hole spin from the resonance models}
The resonance model \citep[][]{KluzniakAbramowicz2000} explains the twin peak QPOs as being caused by a 3:2 non-linear resonance between two global modes of oscillations in accretion flow in strong gravity. The modes in resonance are often assumed to ... |
2,869,038,155,526 | arxiv | \section{introduction}
The spin-transport properties of Pt have been studied intensively. Pt exhibits efficient, reciprocal conversion of charge to spin currents through the spin Hall effect (SHE)\cite{Saitoh_2006,Mosendz_2010,Liu_2011,Wang_2014}. It is typically used as detection layer for spin current evaluated in no... |
2,869,038,155,527 | arxiv | \section{Introduction}
In recent years, Implicit Neural Representations (INRs) have been proposed as continuous data representations for various tasks in computer vision. With INR, data is represented as a neural function that maps continuous coordinates to signals. For example, an image can be represented as a neural... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.