text stringlengths 1 803k | meta dict |
|---|---|
\section{Introduction}
An $[n,k]$ {\em code} $C$ over $\mathbb{F}_q$
is a $k$-dimensional vector subspace of $\mathbb{F}_q^n$,
where $\mathbb{F}_q$ denotes the finite field of order $q$ and $q$ is a prime power.
A code over $\mathbb{F}_2$ is called {\em binary}.
The parameters $n$ and $k$
are called the {\em length} a... | {
"timestamp": "2018-05-21T02:05:36",
"yymm": "1802",
"arxiv_id": "1802.06985",
"language": "en",
"url": "https://arxiv.org/abs/1802.06985"
} |
\section{Introduction}
Recently, the ALICE (A Large ion collider Experiment) experiment at
LHC (Large Hadron Collider) has measured the charged
particle multiplicity distribution in wider pseudo-rapidity ranges for
different event classes, INEL(inelastic events), INEL $>$ 0 (same as INEL
with the presence of at least o... | {
"timestamp": "2018-02-21T02:06:14",
"yymm": "1802",
"arxiv_id": "1802.06990",
"language": "en",
"url": "https://arxiv.org/abs/1802.06990"
} |
\section{Introduction}
The computational model of {\em population protocols}
was introduced
in the seminal paper by Angluin {\em et al.} \cite{DBLP:conf/podc/AngluinADFP04}.
Their model provides a universal platform for the formal analysis of pairwise interactions
within a large collection of indistinguishable enti... | {
"timestamp": "2018-05-15T02:12:06",
"yymm": "1802",
"arxiv_id": "1802.06867",
"language": "en",
"url": "https://arxiv.org/abs/1802.06867"
} |
\section{Introduction}
\label{sec:intro}
Nuclear triaxial deformation has been a long standing issue
in the field of nuclear structure~\cite{BM75}.
It is predicted that rather a small number of nuclei are
triaxially deformed in their ground states (see e.g. Ref.~\cite{Mol06}).
Near the ground state, however, it is ver... | {
"timestamp": "2018-02-21T02:06:14",
"yymm": "1802",
"arxiv_id": "1802.06988",
"language": "en",
"url": "https://arxiv.org/abs/1802.06988"
} |
\section{Introduction}
\label{sec:intro}
The unique properties of laser-accelerated proton sources (e.g.~low emittance, short duration, high current) \cite{Cowan2004,Borghesi2004, Brambrink2006, Dromey2016} are at the basis of many well-established or potential applications \cite{Daido2012}, covering high-resolution p... | {
"timestamp": "2018-02-21T02:06:29",
"yymm": "1802",
"arxiv_id": "1802.06999",
"language": "en",
"url": "https://arxiv.org/abs/1802.06999"
} |
\section{Conclusions}
In this paper, we explore the use of light transport through a clear
medium as the core transduction method for a tactile pad. We
develop touch sensors with multiple light emitter and
receivers around the perimeter of a clear elastomer pad. By measuring
light transport between each emitter-recei... | {
"timestamp": "2018-02-21T02:01:48",
"yymm": "1802",
"arxiv_id": "1802.06837",
"language": "en",
"url": "https://arxiv.org/abs/1802.06837"
} |
\section{Introduction }\label{sec:intro}
Let $W$ be an oriented smooth Riemannian manifold of dimension $n\geq 3$ and $\mathcal B\subset W$ a closed domain with smooth boundary. We consider constant mean curvature (CMC) hypersurfaces with free boundary in $\mathcal B,$ that is, CMC hypersurfaces whose interior is co... | {
"timestamp": "2019-02-28T02:18:12",
"yymm": "1802",
"arxiv_id": "1802.06848",
"language": "en",
"url": "https://arxiv.org/abs/1802.06848"
} |
\section{Introduction}
Protoplanetary disks are the main sites of planet formation. Within them, the small sub-micron sized dust grains grow to millimeter and centimeter sizes and settle to the midplane, where they eventually form kilometer-sized planetesimals and proto-planets that are the building blocks of planetar... | {
"timestamp": "2012-01-09T02:01:58",
"yymm": "1201",
"arxiv_id": "1201.1453",
"language": "en",
"url": "https://arxiv.org/abs/1201.1453"
} |
\section{Introduction}
One of the major issues in studies of spatially discrete systems is whether
such systems can support solitary waves that travel without losing energy to
radiation, which results in deceleration and eventually pinning of the
solitons. The celebrated Peierls-Nabarro (PN) barrier \cite{PN} is the
r... | {
"timestamp": "2012-01-09T02:01:35",
"yymm": "1201",
"arxiv_id": "1201.1426",
"language": "en",
"url": "https://arxiv.org/abs/1201.1426"
} |
\section{Introduction}
Calculating nonperturbative properties of supersymmetric theories on
the lattice encounters various difficulties related to the fact that
the discretisation of space-time explicitly breaks supersymmetry
and violates Leibniz' rule. Moreover, the vanishing of the Witten
index in the context of spo... | {
"timestamp": "2012-01-09T02:02:17",
"yymm": "1201",
"arxiv_id": "1201.1485",
"language": "en",
"url": "https://arxiv.org/abs/1201.1485"
} |
\section{Introduction}\label{s.intro}
\subsection{Basic definitions and some questions}
Consider discrete-time control systems of the form:
\begin{equation}\label{e.general CS}
x_{t+1} = F(x_t,u_t), \qquad (t = 0,1,2, \dots)
\end{equation}
where $F \colon \cX \times \cU \to \cX$ is a map.
We will always assume that t... | {
"timestamp": "2013-11-26T02:14:12",
"yymm": "1201",
"arxiv_id": "1201.1672",
"language": "en",
"url": "https://arxiv.org/abs/1201.1672"
} |
\section*{SUPPLEMENTARY MATERIAL}\label{SupInfo}
\subsection{Two-body model interactions}\label{Twobody}
Our theoretical model for the two-body interactions mimics the tunability of the
interatomic interactions via Fano-Feshbach resonances \cite{S_ChinReview}
by directly altering the strength of the interparticle int... | {
"timestamp": "2012-04-26T02:00:51",
"yymm": "1201",
"arxiv_id": "1201.1176",
"language": "en",
"url": "https://arxiv.org/abs/1201.1176"
} |
\section{Introduction}
The finite irreducible complex reflection groups were classified by Shephard
and Todd \cite{shephard-todd:1954} in 1954. If $G$ is a primitive complex
reflection group then, as shown by Shephard and Todd, $G$ is either cyclic, a
symmetric group $\Sym(n)$ for $n\ge 5$, or one of 34 groups $G_k$, w... | {
"timestamp": "2012-01-09T02:00:44",
"yymm": "1201",
"arxiv_id": "1201.1348",
"language": "en",
"url": "https://arxiv.org/abs/1201.1348"
} |
\section{Introduction}
In this paper, we study invariance and monotonicity properties of
a class of stochastic functional differential equations
(sfde's) driven by a {\em Kunita-type} martingale field.
Our main results are Theorem~\ref{th-inv} on deterministic invariant domains and the comparison principle stated
in T... | {
"timestamp": "2012-01-06T02:03:28",
"yymm": "1201",
"arxiv_id": "1201.1226",
"language": "en",
"url": "https://arxiv.org/abs/1201.1226"
} |
\section{Introduction}
Let $(E,\text{\rm{d}}} \def\bb{\beta} \def\aa{\alpha} \def\D{\scr D)$ be a metric space equipped
with a $\sigma$-algebra $\mathscr{B}(E)$ such that metric
$\text{\rm{d}}} \def\bb{\beta} \def\aa{\alpha} \def\D{\scr D(\cdot,\cdot)$ is $\mathscr{B}(E)\times \mathscr{B}(E)$ measurable. For any $... | {
"timestamp": "2012-01-09T02:02:10",
"yymm": "1201",
"arxiv_id": "1201.1474",
"language": "en",
"url": "https://arxiv.org/abs/1201.1474"
} |
\section{Introduction}
The beginning of investigation of covering properties of
topological spaces defined in terms of diagonalization and
nowadays known as \emph{classical selection principles} is going
back to the papers \cite{menger}, \cite{hurewicz1},
\cite{hurewicz2}, \cite{rothberger38}. In this paper we s... | {
"timestamp": "2012-01-10T02:01:06",
"yymm": "1201",
"arxiv_id": "1201.1576",
"language": "en",
"url": "https://arxiv.org/abs/1201.1576"
} |
\section{Introduction}
The classical Poincar\'e-Hopf theorem $\chi(M) = \sum_{x} {\rm ind}(x)$
for a vector field $F$ on a manifold $M$ plays an important role in differential topology.
Developed first in two dimensions by Poincar\'e \cite{poincare85} (chapter VIII) and extended
by Hopf in arbitrary dimensions \cite... | {
"timestamp": "2012-01-06T02:02:25",
"yymm": "1201",
"arxiv_id": "1201.1162",
"language": "en",
"url": "https://arxiv.org/abs/1201.1162"
} |
\section{Introduction}
The properties of hadrons in a thermal and dense medium are currently widely investigated, both experimentally and theoretically.
In this respect, the heavy-ion experiments at RHIC and LHC are producing a huge amount of data.
However, from the theoretical point of view, it is still difficult t... | {
"timestamp": "2012-05-23T02:02:42",
"yymm": "1201",
"arxiv_id": "1201.1564",
"language": "en",
"url": "https://arxiv.org/abs/1201.1564"
} |
\section{Introduction}
Since the end of the last century, two asymmetric-energy $e^+e^-$ $B$
factories, the KEKB~\cite{KEKB} collider for the Belle~\cite{Belle}
experiment at KEK and the PEPII collider for the BaBar experiment at
SLAC, have been achieving a tremendous success that lead to the
confirmation of the Stand... | {
"timestamp": "2012-01-23T02:00:42",
"yymm": "1201",
"arxiv_id": "1201.1248",
"language": "en",
"url": "https://arxiv.org/abs/1201.1248"
} |
\section{\label{intro}Introduction}
Transition metal oxides (TMOs) are responsible for an enormous range of phenomena in solid state physics \cite{Cheong}, largely dominated by materials containing ions of the \textit{3d} series. Studies into these compounds have not only enriched our fundamental understanding of mate... | {
"timestamp": "2012-01-09T02:01:57",
"yymm": "1201",
"arxiv_id": "1201.1452",
"language": "en",
"url": "https://arxiv.org/abs/1201.1452"
} |
\section*{Appendix: An Alternative Blowfly Data Analysis}
\vspace*{3pt}
Let $N(t)$ be the number of adult blowflies at time~$t$.
Suppose that the number of newly emerging adults during the time
interval $[t,t+\Delta]$ is $R_t$, and the number of adults surviving
from time $t$ to $t+\Delta$ is $S_t$, so that $N(t... | {
"timestamp": "2012-01-09T02:01:00",
"yymm": "1201",
"arxiv_id": "1201.1373",
"language": "en",
"url": "https://arxiv.org/abs/1201.1373"
} |
\section{Introduction}
Classical T Tauri stars (CTTSs) provide the opportunity to witness the birth of extra-solar planetary systems. Their disks of gas and dust are the environments in which Jovian planets form \citep{Dullemond2010}, a process that we are only beginning to understand. From the ground, carbon mono... | {
"timestamp": "2012-01-05T02:03:14",
"yymm": "1201",
"arxiv_id": "1201.0937",
"language": "en",
"url": "https://arxiv.org/abs/1201.0937"
} |
\section{Introduction}
The weak value is a derived notion of the weak measurement proposed
by Aharonov et al \cite{HT-Aharonov}, which has brought a new
understanding of quantum observations.
The weak measurement \cite{HT-Measurement} means that it hardly disturbs
the quantum superposed state when it is performed... | {
"timestamp": "2012-01-12T02:00:33",
"yymm": "1201",
"arxiv_id": "1201.1329",
"language": "en",
"url": "https://arxiv.org/abs/1201.1329"
} |
\section{Introduction}
This paper considers apparently disparate topics : AdS counterterms and critical gravity.
Firstly, it is well known that in order to get finite results from AdS/CFT one needs to add counterterms to the bulk gravity lagrangian \cite{bk, robcounter, krauslarsen}. These counterterms are made fro... | {
"timestamp": "2012-05-21T02:00:57",
"yymm": "1201",
"arxiv_id": "1201.1288",
"language": "en",
"url": "https://arxiv.org/abs/1201.1288"
} |
\section{Overview of stochastic superspace}
\label{sec:overview}
The basis of stochastic superspace models is the assumption that the Grassmannian coordinates, $\theta$ and $\bar{\theta}$, are stochastic variables. Writing down the most general probability distribution consistent with Lorentz invariance, we find that ... | {
"timestamp": "2012-01-10T02:01:32",
"yymm": "1201",
"arxiv_id": "1201.1624",
"language": "en",
"url": "https://arxiv.org/abs/1201.1624"
} |
\section{Introduction}
\label{intro}
\begin{table}[t]
\caption{A typical two-way contingency-table/cross-tabulation
($n_{j,k}$ is a nonnegative integer
with $j=1$,~$2$, \dots, $r$,\ \ \ $k=1$,~$2$, \dots, $s$;\ \ \
$n_{j,\centerdot} = \sum_{k=1}^s n_{j,k}$ is a row total
with $j=1$,~$2$, \dots,~$r$;
$n_{\centerdot,k}... | {
"timestamp": "2012-01-09T02:01:33",
"yymm": "1201",
"arxiv_id": "1201.1421",
"language": "en",
"url": "https://arxiv.org/abs/1201.1421"
} |
\section{Introduction}
The microscopic counting of black hole entropy in four-dimensional
string theories with $\mathcal{N}=4$ supersymmetry has turned out to
have a surprisingly rich structure\cite{Dijkgraaf:1996it,Jatkar:2005bh}.
This has provided connections to modular forms, Lie
algebras\cite{Govindarajan:2008... | {
"timestamp": "2012-01-10T02:01:35",
"yymm": "1201",
"arxiv_id": "1201.1628",
"language": "en",
"url": "https://arxiv.org/abs/1201.1628"
} |
\section*{Introduction}
\label{intro}\addcontentsline{toc}{section}{Introduction}
One of the main themes of ${\F_1}$-geometry was and is to give meaning to an idea of Jacques Tits that dates back to 1956 (see Section 13 in \cite{Tits56}). Namely, Tits proposed that there should be a theory of algebraic groups over ... | {
"timestamp": "2012-01-09T02:00:29",
"yymm": "1201",
"arxiv_id": "1201.1324",
"language": "en",
"url": "https://arxiv.org/abs/1201.1324"
} |
\section{\bf Introduction}
Chebyshev \cite{[Ch]} initiated the study of the least common
multiple of consecutive positive integers for the first significant
attempt to prove prime number theorem. An equivalent of prime
number theorem says that $\log {\rm lcm}(1, ...,n)\sim n$
as $n$ goes to infinity. Hanson \cite{... | {
"timestamp": "2013-02-25T02:02:16",
"yymm": "1201",
"arxiv_id": "1201.0931",
"language": "en",
"url": "https://arxiv.org/abs/1201.0931"
} |
\section{Introduction}
Supersymmetry is one of the most well-motivated theories for explaining new physics beyond
the standard model (SM) of particle physics. With the initiation of the large hadron
collider (LHC) experiment at CERN, discovery of weak scale supersymmetric particles
is highly envisaged. Moreover, the... | {
"timestamp": "2012-06-08T02:02:19",
"yymm": "1201",
"arxiv_id": "1201.1556",
"language": "en",
"url": "https://arxiv.org/abs/1201.1556"
} |
\section{Introduction}
In this paper we further investigate the new classification rules
introduced in \cite{BW08,W07} with a built-in reject option in the
standard binary classification setting, where we observe independent
realizations $(X_i,Y_i)$, $i=1,\ldots, n$, of a random pair $(X,Y)$ in
$\mathcal X \time... | {
"timestamp": "2012-01-06T02:02:11",
"yymm": "1201",
"arxiv_id": "1201.1140",
"language": "en",
"url": "https://arxiv.org/abs/1201.1140"
} |
\section{Introduction}
High-precision experiments on cold atoms, such as spin-polarized
$^{87}$Rb, in traps have provided powerful methods for the study of
quantum phase transitions~\cite{rmp}, e.g., the transition from a
superfluid (SF) to a bosonic Mott-insulator (MI) in an optical
lattice~\cite{jaksch,greiner}. Thi... | {
"timestamp": "2012-01-10T02:01:53",
"yymm": "1201",
"arxiv_id": "1201.1642",
"language": "en",
"url": "https://arxiv.org/abs/1201.1642"
} |
\section{Bootstrap in AR(1) model}
Let ${X_t}$ be a stationary AR(1) process, that is,
\begin{eqnarray}
X_t = \theta X_{t-1} + Z_t \hspace{0.1in} for \hspace{0.1in}t = 1,2,\ldots \label{ar} \\
Z_t \hspace{0.1in}iid\hspace{0.1in}(0,\sigma^2);\hspace{0.1in}EZ^4_t <\infty ; \hspace{0.1in}|\theta|<1. \nonumber
... | {
"timestamp": "2012-01-06T02:02:28",
"yymm": "1201",
"arxiv_id": "1201.1166",
"language": "en",
"url": "https://arxiv.org/abs/1201.1166"
} |
\section{Introduction}
We consider the three dimensional incompressible Navier-Stokes equations
\begin{equation}\label{eq:NS}
\left\{\begin{array}{l}
\partial_t u-\Delta u+u\cdot \nabla u+\nabla \pi=0,\\
{\rm div } u=0,
\end{array}\right.
\end{equation}
where $u(x,t)=(u_1(x,t),u_2(x,t),u_3(x,t))$ denotes the un... | {
"timestamp": "2012-01-06T02:01:48",
"yymm": "1201",
"arxiv_id": "1201.1100",
"language": "en",
"url": "https://arxiv.org/abs/1201.1100"
} |
\section{Introduction}
Understanding the fundamental interactions that bind organic molecules to noble metal substrates is of crucial importance in molecular-scale electronics and self-assembly, where the competition between molecule-substrate and intermolecular interactions can lead to templated arrangements with spe... | {
"timestamp": "2012-01-09T02:00:31",
"yymm": "1201",
"arxiv_id": "1201.1326",
"language": "en",
"url": "https://arxiv.org/abs/1201.1326"
} |
\section{Introduction}
Xia and Tong have written a provocative and stimulating paper. Among the many
topics raised in their paper, I would like in particular to endorse several of
their postulates:
\begin{enumerate}
\item All models are wrong.
\item Observations are not error-free.
\item Estimation needs... | {
"timestamp": "2012-01-09T02:00:52",
"yymm": "1201",
"arxiv_id": "1201.1356",
"language": "en",
"url": "https://arxiv.org/abs/1201.1356"
} |
\section{Introduction}\label{intro}
The formalism of dynamical triangulations (DT) \cite{old} was introduced
to provide a lattice regularization of Polyakov's theory
of non-critical strings \cite{polyakov} and 2d quantum gravity, and later of
both 3d and 4d quantum gravity \cite{old1}. It was successful
in the 2d ca... | {
"timestamp": "2012-01-10T02:01:18",
"yymm": "1201",
"arxiv_id": "1201.1590",
"language": "en",
"url": "https://arxiv.org/abs/1201.1590"
} |
\section{\label{sec:level1x}Introduction}
Nucleation is a very basic phenomenon which plays a vital role in various materials processing ranging from steel production to food beverage industries~\cite{Kelton2010}. Recently, researchers' interests have turned to complex material nucleations which are relevant to our d... | {
"timestamp": "2012-01-09T02:00:56",
"yymm": "1201",
"arxiv_id": "1201.1365",
"language": "en",
"url": "https://arxiv.org/abs/1201.1365"
} |
\section{#1}}}
\newcommand{\Sectionnonumber}[1]{\newpage {\Large \section*{#1}}}
\newcommand{\Sectionsamepage}[1]{\vspace{5mm}{\Large \section{#1}}}
\newcommand{\Sectionsamepagenonumber}[1]{\vspace{5mm}{\Large \section*{#1}}}
\newcommand{\Sectionnonumbersamepage}[1]{{\Large \section*{#1}}}
\newcommand{\Sectionn}[1]{{\L... | {
"timestamp": "2012-01-06T02:02:00",
"yymm": "1201",
"arxiv_id": "1201.1119",
"language": "en",
"url": "https://arxiv.org/abs/1201.1119"
} |
\section{{#1}}}
\def\hbox{$>\!\!\!\lhd$}{\hbox{$>\!\!\!\lhd$}}
\def\stacksum#1#2{{\stackrel{{\scriptstyle #1}}
{{\scriptstyle #2}}}}
\newcommand{\mathbf{C}}{\mathbf{C}}
\newcommand{\mathbf{N}}{\mathbf{N}}
\newcommand{\mathbf{Z}}{\mathbf{Z}}
\newcommand{\mathbf{P}}{\mathbf{P}}
\newcommand{\mathbf{A}}{\mathbf{A}}
\ne... | {
"timestamp": "2012-07-03T02:09:43",
"yymm": "1201",
"arxiv_id": "1201.1139",
"language": "en",
"url": "https://arxiv.org/abs/1201.1139"
} |
\section{Introduction}
\label{s1}
This paper uses WKB analysis to examine the approximate solutions of complex
non-Hermitian $\mathcal P\mathcal T$-symmetric Sturm-Liouville eigenvalue problems on finite
domains. These problems are qualitatively different from ordinary Hermitian
eigenvalue problems because, as we will... | {
"timestamp": "2012-01-06T02:03:33",
"yymm": "1201",
"arxiv_id": "1201.1234",
"language": "en",
"url": "https://arxiv.org/abs/1201.1234"
} |
\section{Introduction}
Consider the classical water wave problem with a free surface over a flat bottom under the influence of gravity. Using
bifurcation and degree theory, Constantin and Strauss \cite{CS} proved the existence of large-amplitude, two-dimensional,
inviscid, periodic traveling waves with vorticity. ... | {
"timestamp": "2012-01-10T02:01:33",
"yymm": "1201",
"arxiv_id": "1201.1626",
"language": "en",
"url": "https://arxiv.org/abs/1201.1626"
} |
\section*{Introduction}
The starting point of the paper is the following classical result
(see also \cite{Fed} for more general expositions):
\bigskip
\noindent {\bf Theorem (Morse-Sard, 1942, \cite{Mo}, \cite{S})}.
{\sl Let
$f \colon \R^n\to\R^m$ be a
$\CC^k$--smooth mapping with $k\ge\max(n-m+1,1)$. Then
... | {
"timestamp": "2012-01-09T02:01:31",
"yymm": "1201",
"arxiv_id": "1201.1416",
"language": "en",
"url": "https://arxiv.org/abs/1201.1416"
} |
\chapter{Alternative Spaces}
\label{AlernativeSpaces}
\section{$F_n$ in Five Dimensions}\label{sect:5dFn}
We start by considering generic five dimensional warped spaces, described by
\begin{equation}
\label{ }
ds^2=a(r)^2\eta^{\mu\nu}dx_\mu dx_\nu-b^2(r)dr^2,
\end{equation}
that resolve the gauge hierarchy problem. ... | {
"timestamp": "2012-01-10T02:00:57",
"yymm": "1201",
"arxiv_id": "1201.1561",
"language": "en",
"url": "https://arxiv.org/abs/1201.1561"
} |
\section{INTRODUCTION}\label{intro}
The majority of galaxies reside in poor groups of galaxies \citep{mulchaey00}. With number densities similar to those seen in the centers of rich clusters, compact groups constitute a high-density sub-category of poor groups \citep{hickson82}. This environment is thought to provide... | {
"timestamp": "2012-01-09T02:00:06",
"yymm": "1201",
"arxiv_id": "1201.1287",
"language": "en",
"url": "https://arxiv.org/abs/1201.1287"
} |
\section{Introduction}
\label{Sec:Introduction}
\IEEEPARstart{L}{et}
$I^d$ be the graph of the $d$-dimensional hypercube.
That is, the vertex set of $I^d$ is $\{0,1\}^d$, and two
vertices are connected by an edge if and only if they differ in exactly one coordinate.
A $d$-dimensional \emph{circuit code} of lengt... | {
"timestamp": "2012-01-10T02:01:55",
"yymm": "1201",
"arxiv_id": "1201.1647",
"language": "en",
"url": "https://arxiv.org/abs/1201.1647"
} |
\section{Introduction}
\label{sec:intro}
What is the \textit{quantumness} of a single physical system? This question, that goes back to the foundations of quantum mechanics, has become of ``practical" importance with the advent of quantum information processing. There are a number of tasks in computation and communica... | {
"timestamp": "2013-05-28T02:04:34",
"yymm": "1201",
"arxiv_id": "1201.1212",
"language": "en",
"url": "https://arxiv.org/abs/1201.1212"
} |
\section*{Introduction}
The article 'Multiplicative bases and representation-finite algebras' written by Bautista, Gabriel, Roiter and Salmer\'{o}n contains many beautiful results and ideas and it had some nice consequences: the proof by Bautista et alii of the second Brauer Thrall conjecture, Fischbachers result on ... | {
"timestamp": "2012-02-08T02:02:25",
"yymm": "1201",
"arxiv_id": "1201.1434",
"language": "en",
"url": "https://arxiv.org/abs/1201.1434"
} |
\section{Introduction}
\IEEEPARstart{P}{hotonic} crystal (PC) nanocavities have been the focus of intense research in recent years as these engineered nanostructures have opened the door for novel physics and device applications. A tremendous amount of progress has been made both in optimizing cavity properties such as... | {
"timestamp": "2012-01-05T02:03:40",
"yymm": "1201",
"arxiv_id": "1201.0964",
"language": "en",
"url": "https://arxiv.org/abs/1201.0964"
} |
\section{Introduction}
The global economy is a prototypic example of complex self-organizing system, whose collective properties emerge spontaneously through many local interactions. In particular, international trade between countries defines a complex network which arises as the combination of many independent choic... | {
"timestamp": "2012-01-11T02:02:35",
"yymm": "1201",
"arxiv_id": "1201.1215",
"language": "en",
"url": "https://arxiv.org/abs/1201.1215"
} |
\section{Introduction}
In recent years, there has been a growing interest in studying small mesoscopic systems, immersed in different substrates, such as colloidal particles, nanoparticles in solutions, or biological systems, all of which are dominated by fluctuations. The principal interest is motivated due to recent ... | {
"timestamp": "2013-08-22T02:05:34",
"yymm": "1201",
"arxiv_id": "1201.0923",
"language": "en",
"url": "https://arxiv.org/abs/1201.0923"
} |
\section{Introduction}\label{sec:intro}
The purpose of this paper is to discuss preconditioners for finite
element discretizations of a singular
perturbation problem related to the linear Stokes problem.
More precisely,
let $\Omega \subset \R^n$ be a bounded Lipschitz domain and $\eps \in
(0,1]$ a real parameter. We ... | {
"timestamp": "2012-01-10T02:00:19",
"yymm": "1201",
"arxiv_id": "1201.1513",
"language": "en",
"url": "https://arxiv.org/abs/1201.1513"
} |
\section{Supplemental Material}
\subsection{Position of the solution used by Lerouge \emph{et al.} \cite{Lerouge:2008} on the stability diagram of Fielding \cite{Fielding:2010}}
Since the relative curvature of the flow cell used by Lerouge \emph{et al.} \cite{Lerouge:2008} was fixed at $1.13/13.33\approx 0.08$, the st... | {
"timestamp": "2012-01-09T02:02:20",
"yymm": "1201",
"arxiv_id": "1201.1492",
"language": "en",
"url": "https://arxiv.org/abs/1201.1492"
} |
\section{Supplemental Material}
\section*{Ionic diffusion and copper spin-lattice relaxation}
Information on the diffusion of ions and pretransitional increase of copper defect numbers is mainly obtained from line shape and spin-lattice relaxation measurements on copper. The total relaxation rate is a sum of the pho... | {
"timestamp": "2012-08-30T02:03:57",
"yymm": "1201",
"arxiv_id": "1201.1182",
"language": "en",
"url": "https://arxiv.org/abs/1201.1182"
} |
\section{Introduction}
There is evidence that the amount of dark matter (DM) in the Universe by far dominates that of the luminous matter. It comes
from a variety of cosmological sources such as the rotation curves of galaxies~\cite{DMgalaxies},
gravitational lensing~\cite{DMlensing}, features of CMB~\cite{Komatsu:... | {
"timestamp": "2012-01-06T02:00:17",
"yymm": "1201",
"arxiv_id": "1201.1007",
"language": "en",
"url": "https://arxiv.org/abs/1201.1007"
} |
\section{I. Introduction}
The Lorentz invariance (LI) is one of the fundamentals of modern physics.
It is meaningful to test the fate of LI both on theories and experiments.
Kostelecky and Samuel \cite{KosteleckyS001} have manifested that the LI could be broken spontaneously in the string theory.
The spontaneou... | {
"timestamp": "2012-01-09T02:00:58",
"yymm": "1201",
"arxiv_id": "1201.1368",
"language": "en",
"url": "https://arxiv.org/abs/1201.1368"
} |
\section{Introduction}
The Langevin equation $$\mu
\ddot{\boldq}_t^\mu=\boldb(\boldq_t^\mu)-\lb
\dot{\boldq}_t^\mu+\sm(\boldq_t^\mu)\dot{\boldW}_t \ , \
\boldq_0^\mu=\boldq\in \R^n \ , \dot{\boldq}_0^\mu=\boldp\in \R^n \
, \eqno(1.1)$$ describes the motion of a particle of mass $\mu$ in a
force field $\boldb(\b... | {
"timestamp": "2012-08-31T02:04:59",
"yymm": "1201",
"arxiv_id": "1201.1242",
"language": "en",
"url": "https://arxiv.org/abs/1201.1242"
} |
\subsection{Concrete Heaps}
The state of a concrete program is modeled in a standard way where there is an
environment, mapping variables to addresses, and a store, mapping addresses to
objects. We refer to an instance of an environment together with a store and a
set of objects as a \emph{concrete heap}. Given a prog... | {
"timestamp": "2012-01-06T02:04:01",
"yymm": "1201",
"arxiv_id": "1201.1277",
"language": "en",
"url": "https://arxiv.org/abs/1201.1277"
} |
\section{Introduction}
The phase diagram of QCD at finite temperature and chemical potential has a very rich and non-trivial structure. It is believed to possess a number of interesting phases and transitions between them (for reviews see~\cite{Rajagopal:2000wf,Schafer:2005ff,Alford:2006wn,Stephanov:2007fk,McLerran:... | {
"timestamp": "2012-11-08T02:03:13",
"yymm": "1201",
"arxiv_id": "1201.1331",
"language": "en",
"url": "https://arxiv.org/abs/1201.1331"
} |
\section{\label{}}
\section{Introduction}
The Large Area Telescope (LAT)~\cite{LAT_ref} is the main instrument on the Fermi Gamma-ray Space Telescope, which was launched in June 2008 and has been surveying the gamma-ray sky since then. The data collected have led to numerous discoveries in this previously relatively ... | {
"timestamp": "2012-01-06T02:01:19",
"yymm": "1201",
"arxiv_id": "1201.1068",
"language": "en",
"url": "https://arxiv.org/abs/1201.1068"
} |
\section{Introduction}
One of the definitions of integrability of discrete equations, which becomes increasingly popular in the recent years, is based on the notion of multidimensional consistency. For two-dimensional systems, this notion was clearly formulated first in \cite{NW}, and it was pushed forward as a synonym... | {
"timestamp": "2012-01-06T02:03:04",
"yymm": "1201",
"arxiv_id": "1201.1203",
"language": "en",
"url": "https://arxiv.org/abs/1201.1203"
} |
\section{\label{sec:introuduction}Introduction\protect}
\label{sect:introduction}
Statistical mechanics has turned out to be quite successful in modeling many systems whose interaction is, in principle, much more complex than those traditionally studied in physics as, in many cases, the systems are made up of agents wh... | {
"timestamp": "2012-01-10T02:01:04",
"yymm": "1201",
"arxiv_id": "1201.1572",
"language": "en",
"url": "https://arxiv.org/abs/1201.1572"
} |
\section{Introduction}
Measurements of the abundance of galaxy clusters as a function of their masses and redshift provides an important constraint on the nature of dark matter and dark energy \citep[e.g.,][]{vik09,v10,seh11}. Joint analysis of multi-wavelength observations, including optical cluster catalogs and thei... | {
"timestamp": "2012-06-29T02:06:51",
"yymm": "1201",
"arxiv_id": "1201.1282",
"language": "en",
"url": "https://arxiv.org/abs/1201.1282"
} |
\section{Introduction}
The microlaser/micromaser \cite{Meschede1985, An1994} operates with a small number of atoms under the strong atom-cavity coupling condition of the cavity quantum electrodynamics (QED). The manifestation of atom-field coherent interaction, which is masked by stochastic averages in the conventiona... | {
"timestamp": "2012-01-11T02:01:19",
"yymm": "1201",
"arxiv_id": "1201.1688",
"language": "en",
"url": "https://arxiv.org/abs/1201.1688"
} |
\section{Introduction}
\label{sec:intro}
A filter bank (FB) consists of the analysis bank and the synthesis bank, which are collections of, say $p$, filters linked by downsampling and upsampling operators, respectively \cite{SN}.
A FB is typically referred to as a {\it wavelet} FB if each of its analysis and synthesis... | {
"timestamp": "2012-01-10T02:01:23",
"yymm": "1201",
"arxiv_id": "1201.1603",
"language": "en",
"url": "https://arxiv.org/abs/1201.1603"
} |
\section{General Description}
This document describes a convention for compressing n-dimensional
images and storing the resulting byte stream in a variable-length
column in a FITS binary table. The FITS file structure outlined
here is independent of the specific data compression algorithm that is
used. The implement... | {
"timestamp": "2012-01-09T02:00:41",
"yymm": "1201",
"arxiv_id": "1201.1336",
"language": "en",
"url": "https://arxiv.org/abs/1201.1336"
} |
\section{\bf{Introduction}}
Theory of Fourier analysis is the basic and fundamental step to extend the approximation theory on algebraic structures.
Classical Fourier analysis on $\mathbb{R}^n$ and also it's standard extension for locally compact abelian groups play an important role in approximation theory and als... | {
"timestamp": "2012-01-06T02:02:37",
"yymm": "1201",
"arxiv_id": "1201.1179",
"language": "en",
"url": "https://arxiv.org/abs/1201.1179"
} |
\section{Introduction}
\label{sec:1}
The pair-breaking neutrino bremsstrahlung is a important process
contributing to the neutrino cooling of a compact star. The rate of
these processes was computed initially at
one-loop~\cite{Flowers:1976ux, Voskresensky:1987hm, Kaminker:1999ez}
and, more recently, including vertex
c... | {
"timestamp": "2012-08-08T02:04:12",
"yymm": "1201",
"arxiv_id": "1201.1394",
"language": "en",
"url": "https://arxiv.org/abs/1201.1394"
} |
\section{Introduction}
\noindent
Dynamical systems (i.e. vector fields or diffeomorphisms)
on closed manifolds and, specifically, the $C^1$ generic ones, have been studied
during these last fifty years or so.
In fact, Pugh proved in the early sixties \cite{p}
that such systems display dense closed orbits in t... | {
"timestamp": "2012-01-09T02:02:05",
"yymm": "1201",
"arxiv_id": "1201.1464",
"language": "en",
"url": "https://arxiv.org/abs/1201.1464"
} |
\section{{Introduction}}}
The Schr\"{o}dinger-Virasoro algebra $\mathfrak{sv}$ is defined to
be a Lie algebra with $\mathbb{C}$-basis
$\{L_n,M_n,Y_{n+\frac{1}{2}},c \mid n\in \mathbb{Z}\}$ subject to
the following Lie brackets:
\begin{align*}
&[L_m,L_n]=(n-m)L_{n+m}+\delta_{m+n,0}\frac{m^{3}-m}{12}c,\\
&[L_m,M_n]=nM_{... | {
"timestamp": "2012-01-09T02:00:42",
"yymm": "1201",
"arxiv_id": "1201.1342",
"language": "en",
"url": "https://arxiv.org/abs/1201.1342"
} |
\section{Introduction}\label{sec1}
Over the last three decades, data depth has emerged as a powerful
concept leading to the generalization of many univariate statistical
methods to the multivariate setup. A depth function measures the
centrality of a point $\xvec$ with respect to a data set or a
probability dist... | {
"timestamp": "2012-01-06T02:02:30",
"yymm": "1201",
"arxiv_id": "1201.1171",
"language": "en",
"url": "https://arxiv.org/abs/1201.1171"
} |
\section{Introduction}
Fix $\kappa \in (2,4)$ and write $\kappa' = 16/\kappa \in (4,8)$. Our main result is the following:
\begin{theorem}
\label{thm::reversible}
Suppose that $D$ is a Jordan domain and let $x,y \in \partial D$ be distinct. Let $\eta'$ be a chordal ${\rm SLE}_{\kappa'}$ process in $D$ from $x$ to $... | {
"timestamp": "2012-01-09T02:02:23",
"yymm": "1201",
"arxiv_id": "1201.1498",
"language": "en",
"url": "https://arxiv.org/abs/1201.1498"
} |
\section{Introduction}
During the last three years, the discrepancy between the standard model (SM)
prediction and empirical data in the top forward-backward
asymmetry ($A_{FB}$) at the Tevatron has drawn much attention in particle
physics. The SM QCD prediction is $0.072^{+0.011}_{-0.007}$
at NLO+NNLL accuracies~\ci... | {
"timestamp": "2012-01-09T02:00:48",
"yymm": "1201",
"arxiv_id": "1201.1352",
"language": "en",
"url": "https://arxiv.org/abs/1201.1352"
} |
\section{Introduction}
NGC~4945 is a nearby galaxy ($z=0.0019$ or 3.7 Mpc)
in the southern hemisphere at $RA = 13^{\rm h} \, 05^{\rm m} \, 27^{\rm s}$
and $DEC = -49^\circ \, 28^{\rm m} \, 06^{\rm s}$ (J2000.0) which is expected to belong to the Centaurus galaxy group \cite{Hesser84}. It is an almost edge-on spiral ga... | {
"timestamp": "2012-01-06T02:01:40",
"yymm": "1201",
"arxiv_id": "1201.1088",
"language": "en",
"url": "https://arxiv.org/abs/1201.1088"
} |
\section{Introduction}
The seminal paper \cite{GPS} answers, among other outstanding results, the question of orbit equivalence of uniquely ergodic minimal homeomorphisms of a Cantor set. It was proved that two such minimal systems, $(X,T)$ and $(Y,S)$, are orbit equivalent if and only if the clopen values sets $S(... | {
"timestamp": "2012-01-10T02:01:31",
"yymm": "1201",
"arxiv_id": "1201.1622",
"language": "en",
"url": "https://arxiv.org/abs/1201.1622"
} |
\section{Introduction}
Polymer solutions show a wide variety of behaviors, depending on chain length,
density, and temperature.\cite{deGennes,Doi,desCloizeauxJannink,Schaefer}
In the dilute regime the isolated chain radius of gyration $R_g$ is the
relevant
length scale and the properties of the solution can be descri... | {
"timestamp": "2012-01-06T02:02:57",
"yymm": "1201",
"arxiv_id": "1201.1193",
"language": "en",
"url": "https://arxiv.org/abs/1201.1193"
} |
\section{Introduction}\label{sec0}
In this article we provide necessary and sufficient criteria for a distribution to be smooth or have a H\"{o}lderian type regularity. We shall substantially refine and improve earlier results from \cite{her,o,ps}.
One of the oldest and most useful procedures in analysis is that of \... | {
"timestamp": "2012-01-09T02:01:28",
"yymm": "1201",
"arxiv_id": "1201.1412",
"language": "en",
"url": "https://arxiv.org/abs/1201.1412"
} |
\section{Introduction}
For each simply connected Jordan domain $D \subseteq \mathbf{C}$ and distinct pair $x,y \in \partial D$, the {\em Schramm-Loewner evolution} of parameter $\kappa > 0$ (${\rm SLE}_\kappa$) describes the law of a random continuous path from $x$ to $y$ in $\overline D$. This path is almost surely ... | {
"timestamp": "2012-01-09T02:02:22",
"yymm": "1201",
"arxiv_id": "1201.1497",
"language": "en",
"url": "https://arxiv.org/abs/1201.1497"
} |
\section{Introduction}
We live in a time of rapid climate change. The warming that Earth is experiencing now due to emissions of greenhouse gases from fossil fuel burning is unprecedented in human history, and the pace of the change is very rapid compared to most past climate change as deduced from palaeoclimate re... | {
"timestamp": "2012-01-10T02:01:20",
"yymm": "1201",
"arxiv_id": "1201.1593",
"language": "en",
"url": "https://arxiv.org/abs/1201.1593"
} |
\section{Introduction}
Diamond has attracted great interest recently for quantum information science because of its wide band gap and the existence of more than 500 optically-addressible centers\cite{Zaitsev2001}, many with long spin coherence times. An extensively-studied color center is the NV center, consisting ... | {
"timestamp": "2012-01-10T02:00:44",
"yymm": "1201",
"arxiv_id": "1201.1542",
"language": "en",
"url": "https://arxiv.org/abs/1201.1542"
} |
\section*{Introduction}
The purpose of this article is to study homeomorphisms of the torus $\mathbb{T}}\newcommand{\C}{\mathbb{C}^2$ homotopic to the identity which exhibit dynamical properties that are intrinsic to the torus, in the sense that they cannot be present in a homeomorphism of the annulus or the plane. We ... | {
"timestamp": "2013-05-23T02:02:33",
"yymm": "1201",
"arxiv_id": "1201.1168",
"language": "en",
"url": "https://arxiv.org/abs/1201.1168"
} |
\section{Introduction}
Large-format, wide-field cameras have placed microlensing on the cusp
of joining RV and transits as a technique able to find dozens of
planets at a time \citep{Shvartzvald12}, moving the field from the
discovery of individual objects to the study of planet
populations. Using these new cameras, `... | {
"timestamp": "2012-07-04T02:05:05",
"yymm": "1201",
"arxiv_id": "1201.1002",
"language": "en",
"url": "https://arxiv.org/abs/1201.1002"
} |
\section{Introduction}
The Painlev\'e equations were discovered by Painlev\'e and his colleagues when they were classifying the nonlinear second-order ordinary differential equations with respect to their solutions \cite{r1}.The importance of Painlev\'e equations from mathematical point of view is because of their ... | {
"timestamp": "2012-01-05T02:02:43",
"yymm": "1201",
"arxiv_id": "1201.0900",
"language": "en",
"url": "https://arxiv.org/abs/1201.0900"
} |
\section{Introduction}
\setcounter{equation}{0}
Scalar fields have been present in the literature on
gravity and cosmology for many decades and are
particularly important in
the contexts of inflation in the early universe and of
quintessence in the late universe. It is widely
recognized that a minimally couple... | {
"timestamp": "2012-01-09T02:01:55",
"yymm": "1201",
"arxiv_id": "1201.1448",
"language": "en",
"url": "https://arxiv.org/abs/1201.1448"
} |
\section{Introduction}
In 2006 Mats Boij and Jonas S\"oderberg conjectured a beautiful structure theorem on the cone of Betti tables of graded modules over the polynomial ring $R=k[x_1,\dots,x_n]$ with standard grading $\deg(x_i)=1$. They described the cone in terms of the extremal rays and gave an algorithm to decompo... | {
"timestamp": "2012-01-30T02:02:12",
"yymm": "1201",
"arxiv_id": "1201.1555",
"language": "en",
"url": "https://arxiv.org/abs/1201.1555"
} |
\section{Introduction}
The Fisher Information Matrix (FM, \citealt{Fisher35}) is a statistical instrument
of paramount importance in parameter estimation problems. Its function is to {\it predict} the precision with which the parameters of interest can be measured by a given experiment, starting from the expected obse... | {
"timestamp": "2012-02-16T02:00:23",
"yymm": "1201",
"arxiv_id": "1201.1012",
"language": "en",
"url": "https://arxiv.org/abs/1201.1012"
} |
\section{Introduction}
Influence of surface on the magnetic properties of nanoparticles becomes substantial with decreasing
of their size, if the number of atoms on the surface is comparable (or exceeds) the number of atoms inside
the particle~\cite{Gubin2000}. Thus the low-temperature (97 K) measurements~\cite{Billa... | {
"timestamp": "2012-01-10T02:00:57",
"yymm": "1201",
"arxiv_id": "1201.1562",
"language": "en",
"url": "https://arxiv.org/abs/1201.1562"
} |
\section{Introduction}
The phenomena modelled mathematically in this paper are mechanisms
which are part of the way the immune system works at the molecular level.
For background on immunology the reader is referred to \cite{murphy} or
\cite{roitt}.
T cells are among the most important components of the immune syste... | {
"timestamp": "2012-01-06T02:01:45",
"yymm": "1201",
"arxiv_id": "1201.1094",
"language": "en",
"url": "https://arxiv.org/abs/1201.1094"
} |
\section{Introduction}
The proposal of reconciling quantum field theory and general relativity has been extensively studied, the aim of this endeavor is to develop a consistent quantum theory of gravity, despite all the effort a satisfactory theory has not been constructed. If one tries to quantize general relativi... | {
"timestamp": "2012-01-05T02:03:07",
"yymm": "1201",
"arxiv_id": "1201.0928",
"language": "en",
"url": "https://arxiv.org/abs/1201.0928"
} |
\section{Introduction, Definitions and Notations}
\bigskip In 1928, K. Menger introduced the notion called n-metrics (or
generalized metric). But many mathematicians had not paid attentions to
Menger's theory about generalized metrics. But{} several mathematicians, A.
Wald, L. M. Blumenthal, W. A. Wilson etc. hav... | {
"timestamp": "2012-01-09T02:00:26",
"yymm": "1201",
"arxiv_id": "1201.1319",
"language": "en",
"url": "https://arxiv.org/abs/1201.1319"
} |
\section*{Acknowledgments}
The author thanks Grigory Vekstein for illuminating correspondence and comments, in particular for the insight that the standard definition of magnetic moment should not be used with a current distribution that is not divergenceless. Kirk McDonald and David Griffiths are thanked for helpful ... | {
"timestamp": "2012-04-25T02:04:23",
"yymm": "1201",
"arxiv_id": "1201.0938",
"language": "en",
"url": "https://arxiv.org/abs/1201.0938"
} |
\section{Introduction}
\begin{wrapfigure}[12]{r}{0.5\textwidth}
\epsfxsize=0.45\textwidth
\centering \rotatebox{0}{\epsfbox{cancel.eps}}
\caption{\small \em Cancellation of quadratic divergence to scalar
mass-square between fermion and boson loops.}
\label{cancel}
\end{wrapfigure}%
The timing of the last `Lept... | {
"timestamp": "2012-01-09T02:01:22",
"yymm": "1201",
"arxiv_id": "1201.1403",
"language": "en",
"url": "https://arxiv.org/abs/1201.1403"
} |
\section{Introduction}
A natural way to investigate dynamical chiral symmetry breaking is via considering the spectral difference of chiral partners.
In \cite{Hilger:2011cq}, chiral partner sum rules for heavy-light quark mesons in the spin 0 and spin 1 channels have been presented.
For heavy-light quark mes... | {
"timestamp": "2012-01-06T02:02:40",
"yymm": "1201",
"arxiv_id": "1201.1183",
"language": "en",
"url": "https://arxiv.org/abs/1201.1183"
} |
\section{INTRODUCTION}
At present, most of the theoretical studies of the interaction of
atoms and molecules with external electric (laser) fields assume
that the vector potential $\vec A$ depends only on time. This, of
course, results from the dipole approximation. This approximation
is usually extremely good. Howeve... | {
"timestamp": "2012-01-06T02:02:27",
"yymm": "1201",
"arxiv_id": "1201.1165",
"language": "en",
"url": "https://arxiv.org/abs/1201.1165"
} |
\section{Introduction}
In the $\rm{\Lambda CDM}$~model, smaller structures falling into larger haloes can
survive there as substructures and host observed satellite
galaxies. Therefore, the distribution of satellites around primaries
holds important information about galaxy formation, the population of
substructures an... | {
"timestamp": "2012-09-06T02:04:19",
"yymm": "1201",
"arxiv_id": "1201.1296",
"language": "en",
"url": "https://arxiv.org/abs/1201.1296"
} |
\section{Introduction} \label{INT}
Hypervelocity stars (HVSs) were first theorized in 1988
\citep{Hills:88}, and discovered observationally in 2005
\citep{Brown:05}. At least 16 HVSs have been identified in the Milky
Way (\citealt{Edelmann:05}; \citealt{Hirsch:05}; \citealt{Brown:06a};
\citealt{Brown:06b}; \citealt{Bro... | {
"timestamp": "2012-03-15T01:04:57",
"yymm": "1201",
"arxiv_id": "1201.1446",
"language": "en",
"url": "https://arxiv.org/abs/1201.1446"
} |
\section{Introduction}
Let us consider real random matrix ${\bf X}_n(\omega) = \{X_{i j}(\omega)\}_{i, j=1}^n$ and assume that the following conditions ${\bf (C0)}$ hold\\
a) Pairs $(X_{ij}, X_{ji}), i \neq j$ are independent identically distributed (i.i.d.) random vectors;\\
b) $\E X_{1 2} = \E X_{2 1} = 0, \E X_{1 2... | {
"timestamp": "2012-08-07T02:03:37",
"yymm": "1201",
"arxiv_id": "1201.1639",
"language": "en",
"url": "https://arxiv.org/abs/1201.1639"
} |
\section{Introduction}
\label{intro}
Dilute quantum gases are ideal for studying many-body physics, because
they provide model systems in which the parameters can be precisely
controlled. External fields can be used to tune the effective isotropic
contact interactions between the particles, and the geometry and
... | {
"timestamp": "2012-03-08T02:03:39",
"yymm": "1201",
"arxiv_id": "1201.1438",
"language": "en",
"url": "https://arxiv.org/abs/1201.1438"
} |
\section{Introduction}
\subsection{Background}
Clusters of galaxies are believed to be the largest gravitationally-bound
objects in the Universe. Their deep gravitational potential well means that the
largest clusters are 'closed boxes', in the sense that baryons ejected from
cluster galaxies by supernova (SN) explos... | {
"timestamp": "2012-10-30T01:04:33",
"yymm": "1201",
"arxiv_id": "1201.1104",
"language": "en",
"url": "https://arxiv.org/abs/1201.1104"
} |
\section{Introduction}
\label{sec:intro}
A pair $(W,S)$ of a group $W$ and its (possibly infinite) generating set $S$ is called a \emph{Coxeter system} if $W$ admits the following presentation
\begin{displaymath}
W=\langle S \mid (st)^{m(s,t)}=1 \mbox{ for all } s,t \in S \mbox{ with } m(s,t)<\infty \rangle \ensp... | {
"timestamp": "2012-09-14T02:02:54",
"yymm": "1201",
"arxiv_id": "1201.1610",
"language": "en",
"url": "https://arxiv.org/abs/1201.1610"
} |
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