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2,121,713,844,841 | arxiv | \section{Introduction}
\label{sec:intro}
Electronic pairing mechanisms have been extensively studied in the context of high-temperature superconductivity, with much focus on the prototypical Hubbard model with a repulsive on-site interaction~\cite{[{For a review of the strong-coupling perspective, see }][{.}]lee-06rmp1... |
2,121,713,844,842 | arxiv |
\section{INTRODUCTION} \label{sec:introduction}
Personalized health and medicine has the potential of being the next revolution in healthcare. It is also referred as P4 medicine (Predictive, Preventive, Personalized, and Participatory), and it provides the opportunity to benefit from more targeted and effective d... |
2,121,713,844,843 | arxiv | \section{Introduction}
This is a survey of uses of secant varieties in the study of the complexity of matrix multiplication, one of many
areas in which Giorgio Ottaviani has made significant contributions.
I pay special attention to the use of deformation theory
because at this writing, deformation theory provid... |
2,121,713,844,844 | arxiv | \section{Introduction}
GSN 069 is an optically identified very low-mass bona-fide type 2 active
galactic nuclei (AGN) with ultra-soft X-ray emission \citep{Miniutti2013}.
It is the first case that presents X-ray quasi-periodic eruptions (QPEs)
\citep{Miniutti2019Natur}. The X-ray emission of GSN 069 was first
de... |
2,121,713,844,845 | arxiv | \section{Models for Sequential Data}
Many problems in machine learning are best formulated using sequential data and appropriate models for these tasks must be able to capture temporal dependencies in sequences, potentially of arbitrary length.
One such class of models are recurrent neural networks (RNNs), which can b... |
2,121,713,844,846 | arxiv | \section{Introduction}
Phoretic particles (rigid particles or drops) have been attracting recently an increased interest theoretically, numerically and experimentally \cite{izri2014self,MLB13,michelin_lauga_2014,schmitt2013swimming,Jin2017,morozov2019nonlinear,Morozov2019JFM,Hu2019,Morozov_soft,Chen2021,Hokmabad2021,I... |
2,121,713,844,847 | arxiv | \section{Introduction}
Circadian rhythms are cycles of biological activity based on a 24-hour period which allow organisms to anticipate and adapt to predictable daily oscillations in the environment \citep{Hughes2010}. Circadian rhythms are controlled by the circadian clock, namely a network of mutually interacting p... |
2,121,713,844,848 | arxiv | \section{Introduction}
In recent years, with the emergence of cloud computing and its promises, many companies from large to small and medium sizes are considering cloud as a target platform for migration~\cite{jamshidi2013migrationreview}. Despite motivations for migrating to the cloud, most of the applications could ... |
2,121,713,844,849 | arxiv | \section{Introduction}
As an important task of computer vision, image generation has made remarkable progress in recent years, which is supported by a flurry of generative adversarial networks~\cite{brock2018large,chen2016infogan,denton2015deep,goodfellow2014generative,hudson2021generative,karras2018progressive,karras2... |
2,121,713,844,850 | arxiv | \section{Introduction}
Environmental noise is simultaneously intrinsic to any physical process and usually detrimental to its efficient operation. In the context of excitation transport in quantum systems, dephasing noise leads to decoherence and reduces the transport efficiency. However, in systems possessing spatial ... |
2,121,713,844,851 | arxiv | \section{Introduction}
Machine Reading Comprehension (MRC) is one of the main components of today's open-domain question answering systems \cite{Drqa,yang-2019-end-open, angelidis-etal-2019-book}. Its aim is to answer the questions from the related context(s). One of the main issues in the MRC models is that they are h... |
2,121,713,844,852 | arxiv | \section{Introduction}
The local receptive field of the human eye has led to the construction of convolutional neural networks which has powered much of the recent advances in computer vision. Multi scale architecture used in the famous InceptionNet \citep{szegedy2016rethinking} aggregates multi-scale information from... |
2,121,713,844,853 | arxiv | \section{Introduction}
Eye-tracking is the technological process of recording gaze movements and viewing patterns across time and task. With an eye-tracking camera, one can capture eye movements like fixations, saccades, and smooth pursuit. The lengths/durations of these movements vary with the subconscious state... |
2,121,713,844,854 | arxiv |
\section{Introduction}
\label{sec:intro}
The Kepler mission has discovered a large number of compact extrasolar
systems containing multiple planets that can be observed in transit
\citep{lissauer,batalha}. Roughly forty of these such systems have
four or more planets. The inventory of these four-plus planet systems... |
2,121,713,844,855 | arxiv | \section{Introduction}\label{SecIntro}
The recent two years have witnessed an explosion of networked video
sharing as a new killer Internet application. The most successful
site, YouTube, now features over 40 million videos and enjoys 20
million visitors each month \cite{YouTubeSurvey}. The success of
similar sites li... |
2,121,713,844,856 | arxiv | \section{Introduction}
Visual features serve as the basis for most existing visual search systems.
In a typical setting, a visual search system can only handle pre-defined features extracted from the image set offline.
Such a setting prohibits the reusing of a certain kind of visual feature across different systems.
Mo... |
2,121,713,844,857 | arxiv | \section{Introduction}
The study of impurities in Bose and Fermi gases has a long history \cite{Landau1933,Froehlich1954,Feynman1955,Gross1962,Padmore1971,Astrakharchik2004}. An impurity, that is an atom distinguishable from those forming the gas, binds with the atoms of the gas to form a quasiparticle often called a... |
2,121,713,844,858 | arxiv | |
2,121,713,844,859 | arxiv | \section{Introduction}
In the dark molecular clouds of the interstellar medium (ISM) exothermic chemical reactions can take place despite the low temperature and densities present. Dust grains covered with water ice namely provide a meeting place for reactants as well as a third body to take up excess energy of the re... |
2,121,713,844,860 | arxiv | \section{Introduction}
\label{sec1}
We are dealing here with the following class of stochastic damped wave equations, defined on a bounded and smooth domain $D\subset \mathbb{R}^d$
\begin{equation}
\label{eq1}
\left\{\begin{array}{l}
\displaystyle{\mu\, \partial^2_t u_\mu(t,\xi)=\Delta u_\mu(t,\xi)-\partial_t u_\mu(t,... |
2,121,713,844,861 | arxiv | \section{Spatially resolved stellar spectra}
Three-dimensional and time-dependent hydrodynamic simulations provide realistic descriptions of the atmospheres of various classes of stars, and spectra computed from such models can be used to determine precise properties of the star and its exoplanets. To constrain and e... |
2,121,713,844,862 | arxiv | \section{Introduction}
\label{sec:intro}
\PARstart{P}{ower-line} communications (PLC) are increasingly important in home networking.
HomePlug, the most popular specification for PLC, is employed by over 180 million devices worldwide~\cite{homeplug-nr}, and offers data rates up to 1.5 Gbps.
Moreover, PLC plays an import... |
2,121,713,844,863 | arxiv | \section{Introduction}
Conformal dynamics provides several interesting
aspects in supersymmetric models as well as
non-supersymmetric models, because
conformal dynamics exponentially suppresses or enhances
certain operators.
One interesting aspect is that conformal dynamics can suppress flavor-dependent
contribut... |
2,121,713,844,864 | arxiv | \section*{Methods}
\footnotesize
\subsection{Polarization of nanofiber modes}
Nanofiber waveguides have a cut-off frequency below which only the fundamental $\rm{HE}_{11}$ mode can propagate. The single-mode condition is given by
$V=k_0a\sqrt{n_1^2-n_2^2}<2.405$, where $k_0$ is the wave vector of the light in vacuum,... |
2,121,713,844,865 | arxiv | \section{Introduction}
Multiple populations are now established as a near-ubiquitous property of globular clusters in the Galaxy (e.g., Gratton et al.~2012) as well as within nearby galaxies where their GCs can be resolved into individual stars (Mucciarelli et al.~2011; Larsen et al. 2012). Abundance differences betw... |
2,121,713,844,866 | arxiv | \section{Introduction}
\label{sec:intro}
The formation of the first luminous objects ends the cosmic ``dark ages" and begins a period of heating and ionization of the intergalactic medium (IGM). The global thermodynamic history of this epoch, which culminates in reionization, depends upon many poorly constrained proc... |
2,121,713,844,867 | arxiv | \section{Introduction}
\label{intoduction}
The last few decades have seen explosive growth in data analysis, due
to the rapid development of modern information technology. We are now
in a setting where many very important data analysis problems are
high-dimensional. In many scientific areas, the data dimension c... |
2,121,713,844,868 | arxiv | \section{Introduction}
Humans are able to perceive their self-motion through space via multimodal perceptions.
Optical flow (visual cues) and vestibular signals (inertial motion sense) are the two most sensitive cues for determining self-motion \cite{Fetsch2009}.
In the fields of computer vision and robotics, in... |
2,121,713,844,869 | arxiv | \section{Introduction}\label{sec:intro}
Intersections of Markov chains have been intensively studied, partly due to their connection with loop-erased walks and spanning trees. The 1991 book of Lawler~\cite{Lawlerinter} focuses on intersections of random walks on lattices. In 1989,
Fitzsimmons and Salisbury~\cite{... |
2,121,713,844,870 | arxiv | \section{Introduction}
It is well known that the radiative corrections to deep inelastic
electron proton scattering due to hard real photon emission are very
important in certain regions of the HERA kinematic domain. In fact, the
initial-state collinear radiation leads to a reduction of the projectile
electron energy... |
2,121,713,844,871 | arxiv | \section*{Introduction}
Let $G$ be a simply connected, semisimple algebraic group with associated root
system $\Phi$ defined over an algebraically closed field $k$ of characteristic $p>0$. We mention some notation taken to be consistent with \cite{Jan03}; any undefined notation can be found in there. Let $B$ be a Bore... |
2,121,713,844,872 | arxiv | \section{Introduction}
\labell{sec:intro}
Fix a torus $T \cong (S^1)^{\dim T}$
with Lie algebra ${\mathfrak t}$ and dual space ${\mathfrak t}^*$.
Let $T$ act on a symplectic manifold $(M,\omega)$
with moment map $\Phi \colon M \to {\mathfrak t}^*$, so that
\begin{equation} \labell{moment}
\iota(\xi_M) \omega = - d \... |
2,121,713,844,873 | arxiv | \section{Introduction}
Over the past decade, deep learning has achieved significant success in providing solutions to challenging AI problems like computer vision, language processing, and game playing \cite{he2015resnet,Vaswani2017transformer,deepmind2017alphaZero}.
As deep-learning-based AI models increasingly serve ... |
2,121,713,844,874 | arxiv | \section{Introduction}
The low-frequency conductance of a mesoscopic conductor with capacitive
elements has recently attracted renewed interest due to the experimental
verification \cite{GL} of the fascinating prediction made in Ref.
~\onlinecite{B00} (see also Refs. ~\onlinecite{B0}, ~\onlinecite{B1} and ~\onlinec... |
2,121,713,844,875 | arxiv | \section{Introduction}
\label{sec:introduction}Time-reversal invariance constitutes a fundamental
symmetry in quantum physics. A half-integer spin system always possesses
two-fold degenerate quantum states, or Kramers degeneracy~\cite{Kramers1930}%
, under the time-reversal symmetry. In solid-state materials, the pres... |
2,121,713,844,876 | arxiv | \section{Introduction}
Much of what we know about the brain has been learned by monitoring the electrical activity of individual neurons, one at a time. But thoughts, actions, percepts, and memories surely result from the coordinated activity of many neurons simultaneously. Indeed, it has long been hoped the emerg... |
2,121,713,844,877 | arxiv | \section{Introduction \label{sec:intro}}
The first observations of gravitational waves originated in mergers of astrophysical black holes \cite{Abbott2016,Abbott2016b,Abbott2016c} mark the beginning of the study of strong gravitational fields by means of gravitational waves. Future observations will permit to extend p... |
2,121,713,844,878 | arxiv | \section{Introduction}
The existence of physics beyond the Standard Model (SM) has been
suspected for a~long time, but only quite recently this hypothesis
gained a~strong experimental evidence. The observation of oscillations
of the solar, atmospheric, and reactor types of neutrinos
\cite{SK,SNO,Kamland,K2K} confirmed... |
2,121,713,844,879 | arxiv | \section{Introduction}
\label{sec:intro}
Let $n,k$ be positive integers. The {\em Kneser graph} $K(2n+k,n)$ is the graph $G=(V,E)$ such that $V=\{S\subseteq\{1,\ldots,2n+k\}: |S|=n\}$ and there is an edge $uv\in E$ whenever $u\cap v=\emptyset$. Kneser graphs have a rich combinatorial structure~\cite{GODSIL,LOVASZ78}, ... |
2,121,713,844,880 | arxiv | \section{Introduction} \label{intro}
In a recent series of papers \cite{Kallosh:2010ug,Kallosh:2010xz,Kallosh:2011qk} a new broad class of models of chaotic inflation in supergravity has been developed. These models generalize the simplest model of this type proposed long ago in \cite{Kawasaki:2000yn}; see also \cite... |
2,121,713,844,881 | arxiv | \section{Introduction}
The Pauli master equation and the Redfield equation have long been
applied to the study of relaxation dynamics in electronic systems
\cite{Redfield, May, Breuer}. These equation were originally derived
using semi-heuristic arguments. Hwwever, with the advent of
projection operator techniques in... |
2,121,713,844,882 | arxiv | \section{Introduction}
The rapid localization and characterization of the high energy phenomena associated with gamma-ray bursts (GRBs) are among the most important challenges of today's observational astrophysics. The recent simultaneous detection of a GRB and the gravitational waves source GW170817\cite{gw2016a,gw20... |
2,121,713,844,883 | arxiv | \section{Introduction}
Deep learning, and in particular convolutional neural networks, have
revolutionised the field of visual recognition. However, the
break-through has been achieved under the assumption of a stable domain,
meaning that we have access to a sufficiently large training database
that covers \emph{all} t... |
2,121,713,844,884 | arxiv | \section{Introduction}
Traditional variational inference (VI) minimizes the ``exclusive'' KL divergence $\mathrm{KL}(q\Vert p)$ between the approximating distribution $q$ and the target $p$. There has been great recent interest in methods to minimize other alpha-divergences, such as the ``inclusive'' KL divergence, $\... |
2,121,713,844,885 | arxiv | \section{Introduction}
\label{sec:intro}
Solving jigsaw puzzles is an entertaining task, which is commonly explored by children and adults. It is also a challenging mathematical and engineering problem that occupies researchers in computer science, mathematics and engineering. The solution of this problem is useful f... |
2,121,713,844,886 | arxiv |
\section{Conclusion}\label{sec:conclusion}
In this work, we investigated the \gls{zoc} for fading channels with a dependency structure. Interestingly, there exist joint distributions for which the \gls{zoc} is strictly positive, without requiring perfect \gls{csit}, i.e., without power control and only with an averag... |
2,121,713,844,887 | arxiv | \section{Introduction} \label{sec:intro}
Cosmological $N$-body simulations trace the gravitational dynamics of matter on large scales. By sampling the phase-space distribution of matter with $N$ discrete particles, $N$-body simulations evolve the particles under mutual self-gravity to trace the emergence of structure.... |
2,121,713,844,888 | arxiv | \section{Introduction}
Research into Einstein-Yang-Mills (EYM) theory, which concerns the coupling of gauge fields described by the Yang-Mills (YM) equations to gravitational fields described by Einstein's equations, has become abundant in the literature in the last couple of decades. This work began in considering as... |
2,121,713,844,889 | arxiv | \section{Introduction}
Supersymmetry (SUSY) is an elegant idea which relates fermions and bosons,
whose spin differs by 1/2, through supercharges \cite{Wess-Bagger:1992}.
SUSY provides dark matter candidates, arising from the lightest supersymmetric
particles \cite{Jungman:1995df}. In addition to that, supersymmetri... |
2,121,713,844,890 | arxiv | \section{Introduction}
\label{sec_intro}
In the last few decades, research on layered magnetic superlattices has shown that they can have low density, transparency and mechanical strength, which find potential applications in magnetic recording, information storage and magneto-resistive sensors \cite{Barbic}. Amongst t... |
2,121,713,844,891 | arxiv | \section*{Introduction}
\label{sec:intro}
\addcontentsline{toc}{section}{Introduction}
Incidence algebras and M\"obius inversion form a cornerstone of combinatorics. It has important applications in many areas of
mathematics. Beyond the original applications in number theory (see Hardy and Wright~\cite{Hardy-Wright}) ... |
2,121,713,844,892 | arxiv | \section{Introduction}
Ring diagram analysis has been extensively used to infer horizontal
flows in outer part of the solar convection zone (Hill 1988;
Patr\'on et al.~1997; Basu, Antia \& Tripathy 1999).
This technique is based on the study of three-dimensional
(henceforth 3d) power spectra of solar
p-modes on a par... |
2,121,713,844,893 | arxiv | \section{Introduction}\label{sec:intro}
White Dwarfs (WDs) are the compact degenerate remnants of low- and intermediate-mass stars ($ \sim 1-8~\rm M_{\odot}$), representing the endpoints of stellar evolution for the vast majority of stars in the Universe. Having ceased any nuclear reaction in their center, isolated WD... |
2,121,713,844,894 | arxiv | \section*{Acknowledgement}
\input{sections/acknowledgement.tex}
\section{Method}
In the following, we describe our base model and then present the models we analyze.
\subsection{Base Model}
We combine a state-of-the-art attention-based inference model with an explainable NLI model that predicts entailment labels and ... |
2,121,713,844,895 | arxiv | \section{Monolayer WSe$_2$ in open microcavities}
The plano-concave microcavity consists of two opposing silica substrates, coated with a DBR comprising 13 pairs of $\text{SiO}_2/\text{TiO}_2$ with a reflectivity above $99.95\%$ at the center wavelength of $\lambda =$~\SI{740}{\nano\meter}. The mechanically exfoliated... |
2,121,713,844,896 | arxiv | \section{Introduction}
Many applied dynamical systems often display a variety of geometric structures in their mathematical description. For instance, you can think in the standard autonomous mechanical systems given by kinetic energy minus potential energy (that is, a mechanical Lagrangian system) (see \cite{fou... |
2,121,713,844,897 | arxiv | \section{Introduction}
Let $\mathbb{H}_\mathbb{K}^n$ for $\mathbb{K} \in \{\mathbb{R}, \mathbb{C}, \mathbb{H}, \mathbb{O}\}$ be the real, complex, quaternionic, or octonionic hyperbolic spaces indexed by integers $n \geq 2$ ($n = 2$ if $\mathbb{K} = \mathbb{O}$). Let $G = \Isom^+(\mathbb{H}_\mathbb{K}^n)$ be its group ... |
2,121,713,844,898 | arxiv | \section{Introduction}
While the Landau diamagnetism of free electron gas \cite{Landau} is often regarded as a standard
textbook knowledge, the discussion of the role of the edge states arising in finite systems is less known, although it is only one year younger \cite{Teller}.
This analysis addressed the naturally r... |
2,121,713,844,899 | arxiv | \section{Introduction}
\label{sec:intro}
The \kepler mission has revolutionized exoplanet statistics by
increasing the number of known extrasolar planets and planet
candidates by a factor of five and discovering systems with longer orbital
periods and smaller planet radii than prior exoplanet surveys \citep{batalha_et_... |
2,121,713,844,900 | arxiv | \section{Introduction}\label{introduction}
Massive stars play pivotal roles in the formation and evolution of galaxies.
They impact mechanical feedback to the interstellar medium,
such as the formation and development of HII regions, wind-driven bubbles, and supernova remnants,
which regulates the galactic-scale star... |
2,121,713,844,901 | arxiv | \section{Introduction}
Characterizing the symmetries of a molecule is an important step in
predicting its behavior. Chemists often model a molecule as a graph
in $\mathbb{R}^3$. They define the {\it point group} of a molecule
as the group of isometries of $\mathbb{R}^3$ which take the molecular
graph to itself.... |
2,121,713,844,902 | arxiv | \section{Introduction}\label{sec:introduction}
\subsection{The model}\label{subsec:model}
Invasion percolation is a stochastic growth model both introduced and numerically studied independently by \cite{Chandler} and \cite{Lenormand}.
Let $G = (V,E)$ be an infinite connected graph in which a distinguished vertex, th... |
2,121,713,844,903 | arxiv | \section{Introduction}
\setcounter{section}{0}
\begin{abstract}
We compare different algebraic structures in twisted equivariant $K$-Theory for proper actions of discrete groups. After the construction of a module structure over untwisted equivariant K-Theory, we prove a completi... |
2,121,713,844,904 | arxiv | \section{Introduction}
Prediction algorithms studied in this paper belong to the class of Venn--Abers predictors,
introduced in \cite{OCM7}.
They are based on the method of isotonic regression \cite{Ayer/etal:1955}
and prompted by the observation that when applied in machine learning
the method of isotonic regression
... |
2,121,713,844,905 | arxiv | \section{Introduction}
One striking feature that is common to all gamma-ray bursts (GRBs) is
the fact that most of the observed photons correspond to low energy
gamma-rays, with energies of a few tens to few hundreds of
$\rm keV$. While other features of the bursts, in particularly the
temporal structure, vary signific... |
2,121,713,844,906 | arxiv | \section{Standard bases}
\label{standardbasis}
\subsection{Basis for module and submodules}
\label{based-modules}
Let $A$ be an integral domain ($A$ modules have the invariant dimension property \cite[IV.2.12]{Hun}). Let $M$ be a free $A$-modules of finite rank $m$, and $N$ a submodule of $M$. Then, $N$ is free of ra... |
2,121,713,844,907 | arxiv | \section{Introduction}
While robot vision capabilities are essential for perceiving and interpreting the world, robot grasping skills are essential for acting in arbitrary and dynamic environments and executing object manipulation tasks. Objects can be grasped in different ways. While performing a grasp, we must, at l... |
2,121,713,844,908 | arxiv | \section{Introduction}
\label{sec:introduction}
Anomalous event detection in video sequences has recently attracted significant attention \cite{sultani2018real,zaheer2020claws,liu2018future,chang2020clustering,li2013anomaly,luo2017revisit,lu2013abnormal,abati2019latent,zhong2019graph}. The task is extremely challengin... |
2,121,713,844,909 | arxiv | \section{Introduction}
The top quark is the heaviest fundamental particle with unique properties. Due to the very short lifetime ($\sim 10^{-25}$\ s), the top quark decays before hadronization and can be studied using its decay products. If a deviation of the measured properties from the standard-model (SM) prediction... |
2,121,713,844,910 | arxiv | \section{Network dynamics}
We consider bosonic quantum complex networks composed by an ensemble of quantum harmonic oscillators, with frequencies $\omega_i$, linked by spring-like couplings according to a specific topology. This is defined by the adjacency matrix $\mathbf{V}$, which contains the coupling terms $v_{... |
2,121,713,844,911 | arxiv |
\section*{References}
\bibliographystyle{model1-num-names}
\section{Proofs}
\label{sec:proofs}
\input{sections/proofs_intro.tex}
\input{sections/proofs_local.tex}
\input{sections/proofs_dof.tex}
\input{sections/proofs_gsure.tex}
\subsection{Proof of Theorem \ref{thm:dof}}
\label{sub:dof}
\begin{proof}[Proof of (... |
2,121,713,844,912 | arxiv | \section{Introduction}
Ever since the discovery of High T$_c$ cuprate superconductors,
Hall angle measurements have figured prominently in the discussion
of two broad classes of theoretical approaches of the
nonsuperconducting state: Fermi liquid and non-Fermi liquid
descriptions. The cotangent of the dc-Hall ... |
2,121,713,844,913 | arxiv | \section{Superior nurse staffing, surgical mortality and resource utilization
in Medicare}
\label{secIntroExample}
Hospitals vary in the extent and quality of their staffing, technical
capabilities and nursing work environments. \ Does superiority in these areas
confer benefits to patients undergoing forms of general... |
2,121,713,844,914 | arxiv | \section{Introduction}
The Stewart platform is a parallel manipulator with six degrees of freedom \cite{Merlet}.
We will use the (standard) variables $x, y, z, pitch, roll$ and $yaw$,
where $x,y$ and $z$ are
the coordinates of the centre of the top platform, and $pitch, roll$ and $yaw$ denote the Euler angles
definin... |
2,121,713,844,915 | arxiv | \section{Introduction}
Extra dimensions provide a unifying perspective on a variety of
lower-dimensional phenomena. This is by now quite commonplace in developing
connections between the higher-dimensional world of string theory and various
low energy effective field theories. It also figures prominently in the
analys... |
2,121,713,844,916 | arxiv | \section{Preliminaries} \label{pre}
A bounded lattice $(L, \vee, \wedge)$ is called \textit{complemented} if any element $a \in L$ admits a \textit{complement} $b \in L$ (i.e. $a \vee b = \hat{1}$ and $a \wedge b = \hat{0}$). An interval of groups $[B,G]$ in $\mathcal{L}(G)$ will be called \textit{lattice-complemented... |
2,121,713,844,917 | arxiv | \section{Introduction}
The unification of standard model and general relativity is the most
intriguing and desirous goal of modern physics, and it stimulates
the development of many theoretical ideas such as string theory and
loop gravity in the past decades. It is interesting that some of
them predict Lorentz s... |
2,121,713,844,918 | arxiv | \section{Introduction}
Until high energy experiments achieve the neccesary energy and sensitivity to
discover new particles in direct production, any experimental progress beyond the
Standard Model (SM) should go through the observation of loop effects in precision
measurements. These new effects can be parametrized u... |
2,121,713,844,919 | arxiv | \section{Introduction}
\label{sec:intro}
Since the pioneering work of Mandelbrot \textit{et. al.} \cite{Mandel}, it has
been firmly established that topography of fracture surfaces exhibits
remarkable scaling properties.
A fracture surface $z(x,y)$ is statistically invariant under an
anisotropic scaling transformation:... |
2,121,713,844,920 | arxiv | \section{Introduction}\label{Intro}
Recently the current authors have introduced and explored a new variant of the Lense--Thirring spacetime~\cite{4-of-us}, specified by the line element
\begin{equation}
\label{E:pglt}
{\mathrm{d}} s^2 = - {\mathrm{d}} t^2 +\left\{{\mathrm{d}} r+\sqrt{\frac{2m}{r}} \; {\mathrm{d}} t\r... |
2,121,713,844,921 | arxiv | \section{Introduction}
\label{intro}
Decisions concerning personal finance are taken by individuals on the basis of a variety of factors. For example, the investment decision process appears to incorporate a broad range of variables that may influence the individual investor's behaviour, such as the perceived ethics ... |
2,121,713,844,922 | arxiv | \section{Introduction}
The performance and efficiency of large distributed systems,
such as open peer-to-peer networks which any user can join,
often critically depend on cooperation and can suffer if users
behave selfishly, e.g.:
consume but not contribute
resources~\cite{bitthief},
choose routes~\cite{roughgarde... |
2,121,713,844,923 | arxiv | \section{Introduction }
In this paper, we establish sharp criteria for existence
and nonexistence of positive solutions to the Hardy-Littlewood-Sobolev
(HLS) system of nonlinear equations
\begin{equation}
\left \{
\begin{array}{l}
u(x)= \displaystyle\int_{R^n}\frac{v^q(y)dy}{|x-y|^{n-\alpha}}\\
v(x)... |
2,121,713,844,924 | arxiv | \section{Introduction} \label{introduction}
Network tomography was formulated by Y. Vardi in the seminal paper \cite{Vardi:1996}.
The goal is to estimate the rates of traffic flows over source-destination pairs
from traffic flows over links of the networks. Traffic flow rates are
measured, for example, by the num... |
2,121,713,844,925 | arxiv | \section{Introduction}\label{sec1}
Today it is commonplace to undertake highly multiple hypothesis
testing, generally in genomics and very often using tests based on
Student's $t$-statistic; see, for example, Benjamini and Yekutieli
(\citeyear{2001Benjamini}), Efron and Tibshirani (\citeyear{2002Efron}), Cui and... |
2,121,713,844,926 | arxiv | \section{Introduction} \label{sec:intro}
A dozen or more disk-like structures in High-Mass star-formation have been reported in this decade \citep[e.g., ][and references therein]{2006Natur.444..703C, 2016A&ARv..24....6B, 2017A&A...602A..59C}.
Some of these sources probably trace circumcluster envelopes \citep[so-call... |
2,121,713,844,927 | arxiv | \section{Introduction: Cluster variational and region based methods}
The cluster variational method (CVM) is a unifying framework for many approximation methods on graphical models, with variational parameters in correspondence with the marginal probability distributions one is interested in~\cite{An:CVM,Pelizzola:CVM... |
2,121,713,844,928 | arxiv | \section{Introduction}
The control of pulse-to-pulse orbit jitter for future linear colliders will be crucial to achieve the required design luminosity. Both beam position and angular jitter should be controlled along the beam delivery system during multi-bunch operation in order to stabilise the vertical beam position... |
2,121,713,844,929 | arxiv | \section{Introduction} After the discovery of the quantum Hall effect in
two dimensional electron gas (2DEG) \cite{Klitzing_1980}, the interest
started to build towards bilayer 2DEG's \cite{Chakraborty_Pekka_1987}
(and for general systems with internal quantum number \cite{Halperin_1983}).
In the quantum Hall regime th... |
2,121,713,844,930 | arxiv | \section{INTRODUCTION}
Advances in nanoscale growth technology have for a number of years allowed the fabrication of materials formed by alternating layers of two or more semiconductors. Electron or hole layers trapped at the various interfaces have made available Fermi-liquid systems having a quasi-two-dimensional (2D... |
2,121,713,844,931 | arxiv | \section{Introduction}
Quantum gases have revealed themselves as excellent quantum simulators for
many-body theories from condensed matter physics, and in particular to
experimentally examine strong coupling regimes that are not attainable with
solid state experiments\cite{RevModPhys.80.885}. Recently it was show... |
2,121,713,844,932 | arxiv | \section{Introduction}
Theoretical description of the phase diagram of the electron-hole (e-h) system with long-range Coulomb interaction is a long-standing problem.
It is expected to show a variety of physics between the insulating exciton gas and the metallic e-h plasma phases: the exciton-Mott crossovers\cite{Mot... |
2,121,713,844,933 | arxiv |
\section{First Section}
\subsection{A Subsection Sample}
Please note that the first paragraph of a section or subsection is
not indented. The first paragraph that follows a table, figure,
equation etc. does not need an indent, either.
Subsequent paragraphs, however, are indented.
\subsubsection{Sample Heading (Thir... |
2,121,713,844,934 | arxiv | \section{Introduction}
\label{sec:introduction}
Suitable engineering and control techniques for quantum systems are needed for the development of reliable quantum information processing devices \cite{altafini2012modeling}. Feedback control methods, which dominate classical applications, present unique challen... |
2,121,713,844,935 | arxiv | \section{Introduction and Preliminaries}
Let $ \mathbb{R} $, $\mathbb{C}$ and $ \mathbb{Z}^{+} $ denote the sets of real numbers, complex numbers and pozitive integers, respectively. By $\mathcal{H}[a,n]$, we denote the class of all analytic functions defined in the open unit disk $\mathbb{D}=\{z\in\mathbb{C}:\left|z\... |
2,121,713,844,936 | arxiv | \section{Introduction}
Over the past two decades, the graph Laplacian matrix and its variants have
been widely adopted for solving various research tasks, including graph
partitioning \cite{pothen1990partitioning}, data clustering \cite{Luxburg07},
community detection \cite{White05,CPY14spectral}, consensus in ne... |
2,121,713,844,937 | arxiv | \section*{Nomenclature}
\addcontentsline{toc}{section}{Nomenclature}
\vspace*{-2pt}
\subsection*{Indices and Sets}
\begin{IEEEdescription}[\IEEEusemathlabelsep\IEEEsetlabelwidth{$\textrm{RoCo}$}]
\item[$i$] Index of inverter-based resources.
\item[$\mathcal{I}$] Set of inverter-based resources providing freque... |
2,121,713,844,938 | arxiv | \section{Introduction}
The study of real-valued topological cocycles and real skew product extensions, also called cylinder flows, has been initiated by Besicovitch, Gottschalk, and Hedlund.
Besicovitch proved the existence of topologically transitive real skew product extensions, and the main result in \cite{G-H}, Cha... |
2,121,713,844,939 | arxiv | \section{Tight Binding Hamiltonian}
The complete tight binding Hamiltonian as explained in main text is,
\begin{equation}
\begin{split}
H = \sum_{i,a}\epsilon_{i a}c_{i a}^\dag c_{i a} + \sum_{ij;a b}t_{i a j b}(c_{i a}^\dag c_{j b}+h.c.) \\
+\sum_{i,a b, \sigma\sigma'}\lambda_{a b \sigma\sigma'} (c... |
2,121,713,844,940 | arxiv | \section{Introduction}
The Newcomb--Benford Law (NBL) postulates\break that the frequency of
significant digits follow a distribution quite different from the
Uniform (see Tab\-les~\mbox{\ref{T:1}--\ref{T:2}}), as originally discovered by
Newcomb (\citeyear{NewS}) and Benford (\citeyear{Benford}).
Although the... |
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