uuid int64 541B 3,299B | dataset stringclasses 1
value | text stringlengths 1 4.29M |
|---|---|---|
1,108,101,562,515 | arxiv | \section{Introduction}
String gas cosmology, originally discussed in \cite{BV,TV} (see also
\cite{Perlt}) and later reconstructed in the context of branes as
fundamental degrees of freedom in string theory~\cite{ABE,BEK}, provides a
mechanism for constructing a nonsingular cosmology and a mechanism
which confines all ... |
1,108,101,562,516 | arxiv | \section{Introduction}
Higher-curvature theories of gravity play an important role in theoretical physics. On one hand, higher derivatives seem necessary to obtain a consistent quantum description of gravity. For example, string theory and effective field theory approaches predict an infinite tower of higher-curvature... |
1,108,101,562,517 | arxiv | \section{Introduction}
Mesh patterns were first introduced by Br\"and\'en and Claesson in \cite{Bra11} as a generalisation
of permutation patterns, and have been studied extensively in recent years, see e.g.,~\cite{CTU15,JKR15}.
A mesh pattern consist of a pair $(\pi,P)$, where $\pi$ is a permutation and $P$ is a set o... |
1,108,101,562,518 | arxiv | \section{Introduction}
A wide range of galactic and cosmological observations has verified the existing of dark matter, which contributes
a considerable part of the total energy density in the Universe. The $\textit{cold dark matter}$ model has successfully explained the observed large-scale structure.
However, we stil... |
1,108,101,562,519 | arxiv | \section{Introduction}\label{S:Intro}
It was shown in \cite{F-T-Gev} (see also~\cite{Chae}, \cite{FMRT}) that the solutions
of the 2D Navier--Stokes equations with periodic boundary conditions
belong to the Gevrey class of analytic functions
(if the forcing term does).
Using the Gevrey regularity approach the followin... |
1,108,101,562,520 | arxiv | \section{Introduction}
In~\cite{FKT2}, the authors introduced a class of Riemann surfaces of
infinite genus that are ``asymptotic to'' a finite number of complex
lines joined by infinite many handles. These surfaces are constructed by
pasting together a compact submanifold of finite genus, plane domains,
and handles.... |
1,108,101,562,521 | arxiv | \section*{Introduction}
\noindent
Let $k$ be a field that is finitely generated over~$\bbQ$ and let $X$ be a geometrically connected variety over~$k$. We do not assume that $X$ is complete or non-singular. For $\ell$ a prime number, let $H_\ell = \mathrm{H}^1(X_\kbar,\bbZ_\ell)$ be the $\ell$-adic cohomology in degree... |
1,108,101,562,522 | arxiv | \section{Introduction}
It is a well-known fact that in single-field slow-roll
inflation \cite{infl2,infl3,infl4}, the comoving curvature perturbation
${\mathcal R}_c$ and the uniform density curvature perturbation $\zeta$ coincide and are
conserved. In the seminal works \cite{Malik3,lms}, it was shown that
requirin... |
1,108,101,562,523 | arxiv | \section{INTRODUCTION}
Working memory (WM) is the ability to maintain and manipulate information over a short period of time, consisting of encoding, retention, and retrieval processes \cite{small2001circuit}. In the field of neuroscience, there is great interest in the neural oscillation dynamics of WM process using e... |
1,108,101,562,524 | arxiv | \section{Introduction}
\begin{figure}[t]
\centering
\includegraphics[width=1\linewidth]{overview8.pdf}
\normalsize\href{http://3DShapeNets.cs.princeton.edu}{http://3DShapeNets.cs.princeton.edu}
\vspace{-1mm}
\caption{{\bf Usages of 3D ShapeNets.}
Given a depth map of an object, we convert it into a volumetric repre... |
1,108,101,562,525 | arxiv | \section{Supplemental material}
\subsection{Technicalities of data-driven approach}
The data-driven approach used here was first introduced in Ref.~\cite{Lansberg:2016deg}. Especially, the partonic amplitude is parameterized following Eq.(1) of \cite{Lansberg:2016deg}. In principle, four parameters need to be determ... |
1,108,101,562,526 | arxiv | \section{Abstract}
\noindent
\textbf{Purpose}: ESPIRiT is a parallel imaging method that estimates coil sensitivity maps from the auto-calibration
region (ACS). This requires choosing several parameters for the optimal map estimation.
While fairly robust to these parameter choices, occasionally, poor selection can res... |
1,108,101,562,527 | arxiv | \section{The ionization problem}\label{sec:1}
A great achievement of quantum mechanics, which goes back to its birthday, is the satisfactory explanation of {\em the stability of atoms}. In this context, the fact that the electrons do not fall into the nucleus of an atom can be derived mathematically from a variant o... |
1,108,101,562,528 | arxiv | \section{Introduction and Notation}
\noindent A rational map from $\mathbb{P}^{n}$ to itself is determined by an $(n+1)$-tuple of polynomials in $n+1$ variables, all homogeneous of the same degree
$d$. If this map is a morphism, it will be finite of degree $d^{n}$. In the rest of this paper, we will refer to such a ra... |
1,108,101,562,529 | arxiv | \section{#1}\setcounter{equation}{0}}
\newcommand{\subsect}[1]{\subsection{#1}}
\newcommand{\setcounter{section}{0}{\setcounter{section}{0}
\renewcommand{\thesection}{\Alph{section}}}
\newcommand{\appe}[1]{\setcounter{equation}{0}
\setcounter{subsection}{0}
... |
1,108,101,562,530 | arxiv | \section{Introduction}
Shock waves are generated by the discontinuous change in the thermodynamic variables of the system which travels faster than the local speed of sound. They are usually caused by the sudden compression or expansion of matter. Shocks are very common in astrophysics as they are seen in supernova, b... |
1,108,101,562,531 | arxiv | \section{Introduction}
%
Asymmetric tensor fields appear in many scientific and engineering applications. In fluid dynamics, the gradient of the velocity is an asymmetric tensor field that encodes fundamental behaviors such as rotation, angular deformation (also known as pure shear), and volumetric deformation. Sim... |
1,108,101,562,532 | arxiv | \section{Introduction}
Phylogenetic trees are models of evolutionary relationships. The general approach in phylogenetics is to represent evolutionary relationships using bifurcating trees with sampled taxa (represented by so-called labeled vertices) placed at the leaves. Neighbor-joining (NJ) is a popular method for c... |
1,108,101,562,533 | arxiv | \section{INTRODUCTION}
Determination of the relationship between the acoustic field scattered by the seafloor and environmental parameters is crucial to understanding and predicting acoustic interaction with the ocean environment. An important step in this process is to perform measurements of seafloor scattering in c... |
1,108,101,562,534 | arxiv | \section{Introduction}
Young, forming giant planets are surrounded by their circumplanetary disks (CPDs), where their regular satellites will form eventually. Regardless whether the planet formed via core accretion or disk instability scenario, the circumplanetary disk forms in the last phase of the planet formation \... |
1,108,101,562,535 | arxiv | \section{Introduction}
\noindent
The groups $F$, $T$, and $V$ introduced by R. Thompson in the 1960s have a particular place in the history of group theory. First, $T$ and $V$ are the first examples of infinite finitely presented simple groups, and $F$ is the first example of a torsion-free group of type $F_\inft... |
1,108,101,562,536 | arxiv | \section{Introduction}
In gravitational theories it is expected that very high energy scattering at small impact parameter is dominated by the formation and evaporation of black holes. Our basic understanding of how this might happen in a semiclassical approximation has led to Hawking's paradox, the statement that bl... |
1,108,101,562,537 | arxiv | \section{Introduction}
\label{Introduction}
This paper focuses on small organ ({\em e.g.}, the {\em pancreas}) segmentation from abdominal CT scans,
which is an important prerequisite for enabling computers to assist human doctors for clinical purposes.
This problem falls into the research area named {\em medical imag... |
1,108,101,562,538 | arxiv | \section{Simulated annealing}
The original formulation of simulated annealing was inspired by the
analogy between the stochastic evolution of the thermodynamic state
of an annealing material towards the configurations of minimal
energy and the search for the global minimum of an optimization
criterion \cite{Kirkpatri... |
1,108,101,562,539 | arxiv | \section{Introduction}
\label{sec:intro}
The smallest neutral molecules such as alkali dimers for instance have often served as benchmark systems in theoretical or experimental studies of femtosecond molecular dynamics due to their simple electronic structure which can be easily probed with common femtosecond laser sy... |
1,108,101,562,540 | arxiv | \section{Introduction}\label{sec:introduction}}
\else
\section{Introduction}
\label{sec:introduction}
\fi
\IEEEPARstart{T}{his} demo file is intended to serve as a ``starter file''
for IEEE Computer Society journal papers produced under \LaTeX\ using
IEEEtran.cls version 1.8b and later.
I wish you the b... |
1,108,101,562,541 | arxiv | \chapter{Tools from general category theory}
We include here some notions and tools from general category theory which we shall make use of in the main body of the text.
\section{Ends and coends}
Let \( \catGamma \) and~\( \catC \) be categories and~\( \mH \colon \catGamma[op] \times \catGamma \to \catC \) a bifunct... |
1,108,101,562,542 | arxiv | \section{Introduction}
\label{sec-intro}
Magnetic reconnection --- a process of rapid rearrangement of magnetic field lines corresponding to a change of magnetic field topology --- is widely recognized as one of the most important fundamental plasma physical processes \citep{Biskamp-2000, Zweibel_Yamada-2009, Yamada_e... |
1,108,101,562,543 | arxiv | \section{Introduction}
The current availability of cloud-based quantum computers has led to great excitement over the possibility of obtaining quantum advantage for chemistry, materials science, and other applications in the near future. However, these Noisy, Intermediate-Scale Quantum (NISQ) devices are limited by ... |
1,108,101,562,544 | arxiv | \section{Introduction}
\label{sec:intro}
The CP violation through a Dirac phase in the CKM matrix of weak
interactions has been well tested in the flavored systems of
hadrons. It is generally believed however that this cannot be the
unique or even the dominant source of CP violation because of the
observed large baryo... |
1,108,101,562,545 | arxiv | \section*{Appendix \thesection\protect\indent #1}
\addcontentsline{toc}{section}{Appendix \thesection\ \ \ #1}
}
\newcommand{\tr}[1]{\,{\rm tr}\,#1\,}
\newcommand{\frac{\tau} 2 }{\frac{\tau} 2 }
\newcommand{${\cal T}$ }{${\cal T}$ }
\newcommand{{\bf d}}{{\bf d}}
\def\varepsilon{\varepsilon}
\def\int\hspace{-1.07em}\not... |
1,108,101,562,546 | arxiv | \section{Introduction}
Glioblastoma (GBM) is the most malignant and frequently occurring type of primary brain tumor in adult. Despite the development of various aggressive treatments, patients with GBM inevitably suffers tumor recurrence with an extremely poor prognosis \cite{au2}. The dilemma in the clinical managem... |
1,108,101,562,547 | arxiv | \section{Introduction}
\setcounter{equation}{0}
\noindent
Although not present in the Periodic Table the homogeneous electron gas (HEG) is still an important and so far unsolved
model system for electronic structure theory, cf. e.g. \cite{Tos}. In its spin-unpolarized version, the
HEG ground state is characterized by... |
1,108,101,562,548 | arxiv | \section{Introduction}
Consider $n$ independent and identically random variables $X_1,\dots,X_n$ defined on an abstract probability space ($\Omega, \mathcal{E},\P)$ with values in the measured space $(\mathbb{X},\mathcal{F},\mu)$. We suppose that the distribution of $X_i$ admits a density~$s$ with respect to~$\mu$ a... |
1,108,101,562,549 | arxiv | \section{Introduction}
For a complex algebraic variety $X$ there exists a mixed Hodge structure $(W_{\bullet}, F^{\bullet})$ on the homology group $H_{*}(X;\mathbb Q)$(\cite{De1, De2}). In \cite{Mo} J. W. Morgan first put
mixed Hodge structures on the rational homotopy groups in the smooth case. Then, Morgan's results... |
1,108,101,562,550 | arxiv | \section{Introduction}
\label{sec:intro}
The problem of comparing two independent data samples and looking for deviations is ubiquitous in statistical analyses. It is of particular interest in physics, when addressing the problem of searching for new phenomena in data, to compare observations with expectations to fin... |
1,108,101,562,551 | arxiv | \section{Introduction}
Model predictive control (MPC) is used in many applications to control complex dynamical systems. Examples of such systems include production lines, car engines, robots, other numerically controlled
machining, and power generators. The MPC is based on optimization of the operation of the syst... |
1,108,101,562,552 | arxiv | \section{Introduction}
Quantum automorphism groups were introduced by Wang \cite{Wangqsymmetry} in his study of noncommutative symmetries of finite dimensional $ C^* $-algebras.
These quantum groups are quite different from $ q $-deformations of compact Lie groups, and interestingly, they appear naturally
in a v... |
1,108,101,562,553 | arxiv | \section{Offline Analysis and Learning}\label{sec:offline}
This section discusses the process of building a generic permission model using program analysis and machine learning.
\subsection{Foreground Data Extraction}\label{sec:collection}
{\tt COSMOS} models the context of a sensitive request using the foreground dat... |
1,108,101,562,554 | arxiv | \section{Introduction}
Over the past years, many questions concerning the behavior of disordered systems have been put in a new perspective by addressing them from the point of view of the more general jamming scenario \cite{liu1998}. Especially for granular systems it has turned out to be very fruitful to study the... |
1,108,101,562,555 | arxiv | \section{Introduction}
In the first part of the paper, we squeeze some more results out of Brian Day's PhD thesis \cite{DayPhD}.
The question with which the thesis began was how to extend monoidal structures along
dense functors, all at the level of enriched categories.
Brian separated the general problem into two sp... |
1,108,101,562,556 | arxiv | \section{Introduction}
Matrix models originating from ten-dimensional string theory have been shown in some limit to contain geometry and gravity in less than ten dimensions.\cite{Steinacker:2010rh},\cite{Blaschke:2010ye} Most of the matrix models that have been studied, such as the IKKT model,\cite{Ishibashi:1996xs... |
1,108,101,562,557 | arxiv | \section{\label{}}
Quantum data compression is one of the most fundamental tasks in quantum information theory\cite{Nielsen2000,Wilde2011}. Schumacher first provided a tight bound (equal to the von Neumann entropy of the source) to which quantum information may be compressed\cite{Schmacher1995}. From then on, many comp... |
1,108,101,562,558 | arxiv | \section{Introduction}
This paper studies a fundamental question arising from the theory of card shuffling,
where the evolution of card positions is typically modeled by a Markov chain
on the space of permutations on the set of cards.
In this paper, we investigate a continuous-time Markov chain in which
the cards at p... |
1,108,101,562,559 | arxiv | \section{Introduction}
The pulsar magnetospheres consist mainly of electron-positron
plasma. This plasma can affect the radiation produced in the inner
region of the magnetosphere or at the stellar surface and, owing to
this, the pulsar emission can provide information regarding the
physical conditions in the mag... |
1,108,101,562,560 | arxiv | \section{Introduction}
In astronomy, the collection of data is often limited by the presence
of background noise. Various methods are used to filter the noise
while retaining as much ``useful'' information as possible. In recent
years, wavelets have played an increasing role in astrophysical data
analysis. It provi... |
1,108,101,562,561 | arxiv | \section{Curves of arithmetic genus $1$ with $n$ marked points and $A_\infty$-structures}
\subsection{Extension of some results from \cite{LPol}}\label{results-sec}
Below we always assume that $n\ge 2$.
Recall that in the previous work \cite{LPol} we
studied the moduli stacks $\mathcal{U}_{1,n}^{sns}$ of curves $C... |
1,108,101,562,562 | arxiv | \section{Introduction}
The Titchmarsh--Weyl function is an indispensable tool in direct and inverse spectral theory of ordinary
differential operators and more general systems of ordinary differential equations; see the
classical monographs~\cite{CL55,T62} and~\cite{B01,DK99,GS96,GS00-1,GP87,HS81,KST12,LW11,S96,S99} f... |
1,108,101,562,563 | arxiv | \section{Introduction}
The foundations of theory of domination can be traced back to the chess problem of finding the minimum number of queens required such that all the squares are either occupied or can be attacked by a queen\cite{CF}.The applications of theory of domination includes communication network problems, ... |
1,108,101,562,564 | arxiv | \section{Introduction}
A Riemannian manifold $(M,g)$ is called a Ricci soliton if there exist a vector field $X\in\mathfrak{X}(M)$ and a constant $c\in\mathbb{R}$ such that the Ricci tensor satisfies the equation
\begin{align}\label{solitonequation}
\mathrm{Ric}_g+\frac{1}{2}L_Xg=c\cdot g.
\end{align}
Ricci solitons ... |
1,108,101,562,565 | arxiv | \section{Introduction} \label{sec:intro}
\blfootnote{\noindent This research was supported by the Office of Naval Research (ONR) under MURI Grant N00014-19-1-2621.} The Internet of Things (IoT) is arguably the most important technology of the coming decade \cite{saad2019vision}. However, the effective operation of seve... |
1,108,101,562,566 | arxiv | \section{Introduction}
Local quantum field theory is a powerful framework to build models of physical reality. In particular, the Standard Model is known for its extremely precise predictions. Its modifications, known as ``Beyond Standard Model Physics", are also local quantum field theories. For the models of quantum ... |
1,108,101,562,567 | arxiv | \section{Introduction}
Hodgkin-Huxley (HH) model of neuronal excitability \cite{HH52} provides a milestone for
biophysical understanding of information processing in living systems \cite{Koch}
in terms of electrical spikes mediated by
ionic currents through voltage-dependent membrane pores made
by ion channel pr... |
1,108,101,562,568 | arxiv | \section{Introduction}
\subsection{Statistical mixture models}
A statistical mixture model~\cite{FiniteMixtureModels:2000} $M\sim m$ with $k\in\mathbb{N}$ weighted components has underlying probability distribution:
\begin{equation}
m(x|w,\theta) = \sum_{i=1}^k w_i p(x|\theta_i),
\end{equation}
with $w=(w_1, ..., ... |
1,108,101,562,569 | arxiv | \section{Introduction}
The COVID-19 pandemic surprised the world, generating an enormous health crisis with profound social and economic implications. Reopening the economy becomes a latent issue as many countries are vaccinating considerable portions of their populations~\cite{owidcoronavirus}.
The transition period... |
1,108,101,562,570 | arxiv | \section{Introduction}
\label{sec:intro}
Explaining the origin of neutrino masses is a key open problem in particle physics. The significant difference in magnitudes between the masses of the charged and neutral leptons suggests that the dynamics responsible for the observed light neutrino masses, generically denoted h... |
1,108,101,562,571 | arxiv | \section{Introduction}
The anomaly mediation \cite{Randall:1998uk} is the most economical
mechanism to generate supersymmetry (SUSY) breaking terms in the
supersymmetric standard model (SUSY SM). In the breaking mechanism,
only dynamical SUSY-breaking sector is required, and no other extra
fields are needed. On the as... |
1,108,101,562,572 | arxiv | \section{Introduction}
The newest generations of Intel processors, Xeon Scalable (Skylake) and Xeon Phi (Knights Landing), extend the current standard of AVX2 vector instructions with the 512-bit wide AVX-512 instruction sets \cite{AVX512}. The width of registers is similarly increased and, in addition, the number of ... |
1,108,101,562,573 | arxiv | \section{Introduction}
The advances in multimedia technologies have revolutionized the way we capture, process, transmit and store digital media such as images and videos. Using smart multi-media devices, ranging from digital cameras to smartphones, people capture and share billions of images and videos each day. Th... |
1,108,101,562,574 | arxiv | \section{Introduction}
The QCD axion is probably the best solution for the strong CP problem of the Standard Model (SM). This puzzle stems from the non observation of an EDM for the neutron. In the SM, the current experimental bound requires a delicate cancellation of about one part in $10^{10}$~\cite{Abel:2020gbr} be... |
1,108,101,562,575 | arxiv | \section{Principle of Operation} \label{sec:workingPrinc}
\begin{figure*}[ht!]
\centering
\includegraphics[width=0.99\textwidth]{PhaseCam_principle_ver6}
\caption{A schematic layout of the new camera. The quarter-wave plate, Pockels cell and polarizing beamsplitter form an optical switch that intensity modulates th... |
1,108,101,562,576 | arxiv | \section{Introduction}\label{Intro}
Most types of binary stars observed today in a long-term interacting
phase of their evolution --- such as cataclysmic variables, X-ray
binaries and contact binaries --- and other types that are no longer
actively transferring mass, are survivors of a dynamical phase of
evolution in ... |
1,108,101,562,577 | arxiv | \part{Elements of functional analysis}
\section{Norms and seminorms}
\label{norms, seminorms}
\setcounter{equation}{0}
Let $V$ be a vector space over the real numbers ${\bf R}$ or
complex numbers ${\bf C}$. A nonnegative real-valued function $N(v)$
on $V$ is said to be a \emph{seminorm} on $V$ if
\begin{e... |
1,108,101,562,578 | arxiv | \section{Introduction}
\vspace{-0.1cm}
\label{sec:introduction}
3D human pose estimation from still RGB images is a challenging task due to changes in lighting conditions, cluttered background, occlusions, inter and intra subject pose variability, as well as ill-posed depth ambiguity. Moreover, due to its nature, accu... |
1,108,101,562,579 | arxiv | \section{Introduction}
The methods and approaches developed by the similarity searching community are used by a wide range of scientific fields, both within computer science and beyond. While some applications require provable accuracy guarantees, verifiable algorithms, or support for complex similarity functions, man... |
1,108,101,562,580 | arxiv | \section{Introduction}\label{intro}
Surface acoustic waves (SAW's) \cite{Farnell78,Mayer95} provide a useful tool
for experimental studies of the two-dimensional electron gas (2DEG)
in GaAs/AlGaAs-heterostructures.
In particular, SAW's have been used in recent years in investigations of the integer
\cite{Rampton92,Wix... |
1,108,101,562,581 | arxiv | \section{Introduction}
With the expansion of human activities in the oceans towards more extreme environments, state-of-the-art maritime technologies have progressively become less suited at coping with the increased degree of complexity of their missions. As an example, the offshore oil industry is more and more invo... |
1,108,101,562,582 | arxiv | \section{Introduction} \label{sec:intro}
Protoplanetary disks form in the chaotic environment of molecular cloud cores and in their early stages they are massive enough to have a non negligible effect on the evolution of the overall system. The disk self-gravity may influence the disk dynamics through the propagation ... |
1,108,101,562,583 | arxiv | \section{Introduction}
Highly excited many-particle states in many-body systems
can be presented as ``chaotic'' superpositions of shell-model
basis states - see the recent calculations for complex atoms \cite{Ce},
multicharged ions \cite{ions}, nuclei \cite{nuclei} and
spin systems \cite{Nobel,spins}. Indeed, the nu... |
1,108,101,562,584 | arxiv | \section{Introduction}
In this introduction, we briefly discuss some notions which will be explained in more detail later, and we describe the structure of the paper. It is a classical problem of approximation theory to determine when continuous functions on a compact subset of the complex plane can be uniformly approx... |
1,108,101,562,585 | arxiv | \section{Introduction}
In any theory in which the fermions have interactions mediated
by heavy (scalar and/or vector) bosons, the low-energy consequences
can be conveniently parametrized by four-fermion interactions.
Hence, precise low-energy tests of processes involving fermions
constitute a window through which one m... |
1,108,101,562,586 | arxiv | \section*{Supplementary Information for ``Tuning nucleation kinetics via nonequilibrium chemical reactions''}
\section{A nonequilibrium three-state lattice-gas model}
\subsection{Kinetic model of a nonequilibrium lattice gas}
We extend the two-dimensional square lattice-gas model by incorporating two particle intern... |
1,108,101,562,587 | arxiv | \section{Introduction}
In 2010, antihydrogen atoms were trapped at CERN \cite{andr:10a,andr:11a,andr:11b,gabr:12}. Since then, CERN's ALPHA collaboration has reported initial experimental results on the two most commonly discussed symmetry tests with antihydrogen: spectral tests of CPT \cite{amol:12a}; and gravity free... |
1,108,101,562,588 | arxiv | \section{Introduction}
The Muon $g$-2 Experiment \cite{TDR}, currently in its commissioning phase at Fermi National Accelerator Laboratory (Fermilab), aims to measure the value of the anomalous magnetic moment of the muon to unprecedented accuracy. This experiment and other similar experiments involving precessions d... |
1,108,101,562,589 | arxiv | \section{Introduction}
Given training set $T= \{ (x_i,y_i): x_i \in \mathbb{R}^n, y_i \in \mathbb{R},~ i=1,2...,l~ \}$, the problem of regression is concerned with finding a function $f(x)$ which estimates the conditional mean of $y$ given $x$. But, only the estimation of the conditional mean function is not enough to... |
1,108,101,562,590 | arxiv | \section{Control Approach}
\label{sec:strategy}
Section \ref{background_bf} extends \cite{lindemann2018control} to single-agent systems with discontinuous inputs. Based on this, Section \ref{sec:controller} proposes a decentralized feedback control law for multi-agent systems. Sections \ref{background_bf} and \ref{sec... |
1,108,101,562,591 | arxiv | \section{Scattered Light}
\label{s:BackScatter}
The sensitivity required to make gravitational wave measurements can
be expressed also as a sensitivity to optical \textit{phase} fluctuations.
The current state of the art is approximately
$10^{-11}$ radians/$\sqrt{\rm Hz}$ and is nominally limited by
quantum mechanics a... |
1,108,101,562,592 | arxiv | \section{Introduction}
The idea that the early universe underwent a period of accelerating
expansion i.e. inflation, is an attractive one.
Such a period of inflation would explain
the observed smoothness and
flatness of today's universe. But it might also explain the
inhomogeneities present in the universe. During
i... |
1,108,101,562,593 | arxiv | \section{Introduction}
The work of Bekenstein \cite{Bekenstein:1973ur} and Hawking \cite{Hawking:1974sw} has spurred extensive research on the so-called `information paradox'. The premise of the paradox is that in a collapse of matter forming a black hole, the intermediate state post-collapse is a black hole that can b... |
1,108,101,562,594 | arxiv | \section{Introduction}\label{sec1}
A Hamilton decomposition of a graph or digraph $G$ is a set of edge-disjoint Hamilton cycles which together
cover all the edges of~$G$.
The topic has a long history but some of the main questions remain open.
In 1892, Walecki showed that the edge set of the complete graph $K_n$ on $... |
1,108,101,562,595 | arxiv | \section{Introduction}
Let $G$ be a non-trivial group. An equation in $t$ over $G$ is an expression of the form
$$
s(t)=g_{1}t^{\epsilon_{1}}g_{2}t^{\epsilon_{2}} \cdots g_{n}t^{\epsilon_{n}}=1 \ (g_{i} \in G,\ \epsilon_i=\pm 1)
$$
such that $\epsilon_{i}+\epsilon_{i+1}=0$ implies $g_{i+1} \neq 1$ in $G$. We say, tha... |
1,108,101,562,596 | arxiv | \section{Introduction}
The motivation for studying obstacle problems has roots in many applications. There are examples in physics and in mechanics,
and many prime examples can be found in \cite{Chipot,Fried,KO,KS,Rod}.
The classical obstacle problem consists in finding the minimizer of Dirichlet energy
in a domain $\O... |
1,108,101,562,597 | arxiv | \section{Introduction}
Graphene, which is a single layer of sp$^2$ bonded carbon atoms, shows promise for use in a variety of technological applications. For instance, it has an optical transmittance of over 97\% throughout the visible range and is a semi-metal, which makes it an ideal material for use as a transparent... |
1,108,101,562,598 | arxiv | \section{Geometric and topological models}
A natural geometric context for studying the global structure of
${\rm{GL}}(n,{\Z})$\ is provided by the symmetric space $X$ of positive-definite,
real symmetric matrices of determinant 1 (see \cite{Sou04} for a nice introduction to this subject). This is a
non-positive... |
1,108,101,562,599 | arxiv | \section{Introduction}
At passage of ultrarelativistic charged particles through amorphous
matter, they undergo multiple, essentially uncorrelated scattering
on atoms, typically through small angles. If the target is not too
thick, the longitudinal momentum of a high-energy particle may be
regarded as conserved.... |
1,108,101,562,600 | arxiv | \section{Introduction}
\label{intro}
Quantum cryptography, where the security is based on the laws of quantum physics, is a remarkable application of quantum mechanics in the field of information theory. In 1984, Bennett and Brassard first used quantum resources to complete a cryptographic task, and they generated a ... |
1,108,101,562,601 | arxiv | \section{Introduction}
Magnetic reconnection\cite{PF00, *birn:2007:book, *zweibel:2009, *yamada:2010} frequently occurs at and around magnetic null points: locations where the magnetic field strength equals zero.\cite{cowley:1973, fukao:1975, greene:1988, lau:1990, parnell:1996} Magnetospheric null points have been i... |
1,108,101,562,602 | arxiv | \section{String homology in degree zero}\label{sec:string}
In this section, we introduce the degree $0$ string homology $H_0^{\rm string}(K)$.
The discussion of string homology here is only a
first approximation to the more precise approach in
Section~\ref{sec:string-ref}, but is much less technical and suffices
... |
1,108,101,562,603 | arxiv | \section{Introduction}
Cellular automata (CA) are models of parallel computation, so when
implementing them on a sequential architecture, one
cannot simply update the cells one by one -- some cells would see
already updated states and the resulting configuration would be
incorrect. The simplest-to-implement solution i... |
1,108,101,562,604 | arxiv | \section{Introduction}
Diophantine approximation deals with the approximation of real numbers
by rationals. A classic example is the set $J(\alpha)$ of all
$\alpha$-well approximable numbers,
\[
J(\alpha) = \{\, x \in \mathbb{R} : |x - p/q| < q^{-\alpha} \text{ for
infinitely many } (p,q) \in \mathbb{Z} \times \... |
1,108,101,562,605 | arxiv | \chapter*{List of Publications}
\centerline{ \bf Published and submitted articles}
\vspace{0.5cm}
\begin{description}
\item
P.~Bandyopadhyay, C.~Corian\`o, A.~Costantini and L.~Delle Rose\\
\textit{Bounds on the Conformal Scale of a Minimally Coupled Dilaton and Multi-Leptonic Signatures at the LHC}\\
arXiv:1607... |
1,108,101,562,606 | arxiv |
\section{Introduction}
This paper is organised as follows. In the next section we describe virtual
links and give reasons for studying them. In section 3 the conditions are
given for a 2$\times$2 matrix, $S$, to be a {\it linear switch} or {\it
switch} for short, see \cite{FJK}. The entries in the switch lie in some
... |
1,108,101,562,607 | arxiv | \section{Introduction}
The collective quadrupole degrees in nuclei yield rotational and vibrational
excitations. They are described by the Bohr-Mottelson Hamiltonian \cite{BM}.
The wavefunctions for rotations and $\beta$ and $\gamma$ vibrations in
strongly deformed axially symmetric nuclei have been greatly improved ... |
1,108,101,562,608 | arxiv |
\section{Introduction}
Since \cite{Babcock1960} measurements of the surface magnetic field $B_s$ (average over the stellar visible disk of the magnetic modulus) of the star HD\,215441,
massive measurements of $B_s$ for Magnetic Chemically Peculiar (MCP) stars have been reported b... |
1,108,101,562,609 | arxiv | \section{Introduction}
Outflows driven by star formation are thought to be a crucial driver of galaxy evolution. Strong stellar feedback caused by high star formation rate densities can launch outflows of ionized, neutral and molecular gas that potentially can escape the main body of a galaxy. Consequently, such outfl... |
1,108,101,562,610 | arxiv | \section{Introduction}
Nowadays, it is important to sensing and understanding what users prefer and need in recommender systems, which have been fundamental components of various applications. People always say ``Seeing is believing." \emph{Visual} information plays an important role in understanding user behaviors, e... |
1,108,101,562,611 | arxiv | \section*{Abstract}
It is well accepted that, at the global scale, the Gutenberg-Richter (GR) law describing the distribution of earthquake magnitude or seismic moment has to be modified at the tail to properly account for the most extreme events. It is debated, though, how much additional time of earthquake recordin... |
1,108,101,562,612 | arxiv | \section{Introduction}
Multisymmetric polynomials are the generalization of symmetric polynomials in $n$ variables $x_1 ,\ldots , x_n$ to $m \geq 2$ sets of $n$ variables. They have been classically studied in characteristic 0 (see Schl\"afli~\cite{schlaefli1852}, Junker~\cite{junker1893}, Weyl~\cite{weyl1939classical... |
1,108,101,562,613 | arxiv | \section{Introduction}
\label{sec.intro}
Ad impressions sold through real-time bidding (RTB) auctions are responsible for an ever-increasing portion of company expenditures as well as the revenue of large ad providers like Google, Facebook, Amazon, Microsoft, and Yahoo!. In particular, Google is responsible for upwards... |
1,108,101,562,614 | arxiv | \section{Introduction}
\label{sect:intro}
3D-spectrographs (3DS), or Integral Field Units (IFU) exist at many observatories, providing spectra for a large number of spatial elements (``spaxel'') within a 2-dimensional field-of-view,
rather than only along a traditional 1-dimensional spectrograph
slit. Depending on th... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.