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\section{Introduction} Many extensions of the Standard Model predict the existence of axion-like particles (ALPs), namely very light spin-zero bosons $a$ characterized by a two-photon vertex $a \gamma\gamma$~\cite{Jaeckel:2010ni}. In the presence of an external electromagnetic field, this coupling gives rise to photon-...
{ "timestamp": "2012-04-26T02:02:19", "yymm": "1203", "arxiv_id": "1203.2184", "language": "en", "url": "https://arxiv.org/abs/1203.2184" }
\section{Introduction}\label{sec:Intro} Distance geometry studies the geometry based only on knowledge of distances. We develop in this paper a distance geometry for kissing spheres following the approach of Euclidean distance geometry. We first establish a distance space by defining a distance function (Sectio...
{ "timestamp": "2012-10-24T02:05:25", "yymm": "1203", "arxiv_id": "1203.2131", "language": "en", "url": "https://arxiv.org/abs/1203.2131" }
\section{Introduction} Since its introduction by Schr\"odinger, entanglement has remained an extensively studied and yet a mysterious aspect of quantum theory. Entanglement appears as a by-product of the quantum formalism that assigns probability amplitudes to physical states and lets them exist in coherent supe...
{ "timestamp": "2012-07-06T02:01:38", "yymm": "1203", "arxiv_id": "1203.1756", "language": "en", "url": "https://arxiv.org/abs/1203.1756" }
\section{Introduction} \label{sec:intro} Hypotheses on the suppression of $\chi_c$ and $\chi_b$ production in nucleus-nucleus collisions play a crucial role in the interpretation of the J/$\psi$ and $\Upsilon(1S)$ measurements from SPS~\cite{bib:SPS}, RHIC~\cite{bib:RHIC} and LHC~\cite{bib:LHC} in terms of evidence of...
{ "timestamp": "2012-03-12T01:01:10", "yymm": "1203", "arxiv_id": "1203.2033", "language": "en", "url": "https://arxiv.org/abs/1203.2033" }
\section{Introduction} The fractional quantum Hall (FQH) effect at an odd denominator filling of $\nu$ has been understood as a property of incompressible quantum liquid in an interacting two-dimensional (2D) electron system. Laughlin's trial wavefunction \cite{laughlin:1983} is the first successful theory to describe...
{ "timestamp": "2012-07-18T02:01:35", "yymm": "1203", "arxiv_id": "1203.1982", "language": "en", "url": "https://arxiv.org/abs/1203.1982" }
\section{$k$-partite graphs and bounded-degree graphs} \label{sec: bounded degrees} We note that, by using the same arguments as in Theorem~\ref{thm:hardness_planar}, one can show that {\sf GVP} is APX-hard even on graphs of constant degrees and $k$-partite graphs when $k$ is constant: By using the same reduction exce...
{ "timestamp": "2013-11-13T02:04:31", "yymm": "1203", "arxiv_id": "1203.1940", "language": "en", "url": "https://arxiv.org/abs/1203.1940" }
\section{Introduction and framework} \label{sec:intro} It is well known that mean-field spin-glass models have a low temperature phase in which the Replica Symmetry is broken, with a breaking pattern that depends on the specific model. The models displaying a static discontinuous transition which are consistently des...
{ "timestamp": "2012-03-13T01:01:08", "yymm": "1203", "arxiv_id": "1203.2249", "language": "en", "url": "https://arxiv.org/abs/1203.2249" }
\section{Introduction} In semiconductors a zero temperature metal-insulator transition is observed as a function of doping concentration. For samples with concentrations below a critical concentration, the conductivity extrapolated to zero temperature is found to be zero. For samples with concentrations exceeding this...
{ "timestamp": "2012-04-09T02:00:57", "yymm": "1203", "arxiv_id": "1203.1701", "language": "en", "url": "https://arxiv.org/abs/1203.1701" }
\section{Introduction} Band-ferromagnetism is bound to the existence of permanent magnetic moments belonging to itinerant electrons in a partially filled conduction band \cite{MetMag}. Archetypical representatives are the classical $3d$ ferromagnets Fe, Co, Ni. The microscopic interpretation of band-ferromagnetism i...
{ "timestamp": "2012-03-09T02:01:51", "yymm": "1203", "arxiv_id": "1203.1726", "language": "en", "url": "https://arxiv.org/abs/1203.1726" }
\section{1. Introduction} Nuclear fusion rates play a central role in stellar evolution theory. Their calculation depends primarily on laboratory data, and the open questions that persist have mostly to do with these measurements and their extrapolations to very low energies. Another issue that presents itself is t...
{ "timestamp": "2012-03-13T01:00:31", "yymm": "1203", "arxiv_id": "1203.2206", "language": "en", "url": "https://arxiv.org/abs/1203.2206" }
\section{Introduction} The first proof that various types of extragalactic sources evolved with cosmic epochs was delivered in 1950s by surveys of extragalactic radio sources and quasars, which revealed an excess of faint sources when compared with uniform distribution models (e.g. \citealt{ryle}; \citealt{radio}). In...
{ "timestamp": "2012-03-20T01:02:02", "yymm": "1203", "arxiv_id": "1203.1931", "language": "en", "url": "https://arxiv.org/abs/1203.1931" }
\section{Introduction} In recent years, the discovery of accelerating expansion of the universe is an amazing development. It was firstly discovered by observing type Ia supernova (SNe Ia)~\cite{ref1,ref2}, which can be used as standard candles \cite{ref3,ref4}. The cosmic microwave background (CMB) measurement...
{ "timestamp": "2012-03-12T01:01:00", "yymm": "1203", "arxiv_id": "1203.1784", "language": "en", "url": "https://arxiv.org/abs/1203.1784" }
\section{Introduction}\label{sec:intro} In the study of operator algebras, much attention has been paid to the canonical commutation relations (CCR) and the canonical anti-commutations (CAR). Bo{\.z}ejko and Speicher \cite{BS91} considered an interpolation between these relations. Specifically, for $q\in [-1,1]$, they ...
{ "timestamp": "2012-08-21T02:00:51", "yymm": "1203", "arxiv_id": "1203.2176", "language": "en", "url": "https://arxiv.org/abs/1203.2176" }
\section{Introduction Hilbert~\cite{Hi} introduced the distance function $d_{\ensuremath{\mathcal{H}}}$ on a bounded convex domain $D \subset \ensuremath{\mathbb{R}}^n$, related to his fourth problem. Given distinct points $x,y \in D$, denoting by $x'=x+s(y-x)$ and $y'=x+t(y-x)$ the intersections of the boundary $\par...
{ "timestamp": "2012-03-12T01:00:48", "yymm": "1203", "arxiv_id": "1203.2001", "language": "en", "url": "https://arxiv.org/abs/1203.2001" }
\section{Introduction\label{sec:intro} \labeld{sec:intro}} Zero temperature dynamics is parsimonious. It is dominated by its constraints and lends itself to non-generic behavior. Our focus is on a model of granular compaction and we will see that the peculiarities of the allowed motions induce non-exponential relaxa...
{ "timestamp": "2012-03-09T02:02:48", "yymm": "1203", "arxiv_id": "1203.1786", "language": "en", "url": "https://arxiv.org/abs/1203.1786" }
\section{Introduction} During their first ascent along the red giant branch (RGB), low-mass stars are known to experience extra mixing in their convectively stable radiative zones, between the hydrogen burning shell (HBS) and the bottom of the convective envelope (BCE). This occurs above the bump luminosity (\citealt{...
{ "timestamp": "2012-03-12T01:00:17", "yymm": "1203", "arxiv_id": "1203.1948", "language": "en", "url": "https://arxiv.org/abs/1203.1948" }
\section{Introduction} Throughout this article $\Omega$ denotes a bounded domain in $ \mathbb{R}^d$ and $I$ an open, bounded interval in $ \mathbb{R}$. The aim of this article is to study properties of solutions $u:I \times \mathbb{R}^{d} \to \mathbb{R}$ to \begin{align}\label{eq:par_equation} \partial_t u(t,x)...
{ "timestamp": "2013-05-21T02:03:56", "yymm": "1203", "arxiv_id": "1203.2126", "language": "en", "url": "https://arxiv.org/abs/1203.2126" }
\section{Introduction} Experiments studying heavy ion collisions at ultrarelativistic energies aim to reproduce and study in the laboratory one of the anticipated phase transitions of the early universe, namely the QCD phase transition between partons and hadrons predicted by lattice QCD at a critical temperature of ~...
{ "timestamp": "2012-03-09T02:03:08", "yymm": "1203", "arxiv_id": "1203.1814", "language": "en", "url": "https://arxiv.org/abs/1203.1814" }
\section{Introduction}\label{sec:intro} Solving efficiently a very large linear equation systems (and the related initial problems) is a very classical problem and challenge for the algorithm design. The complexity of the problem to solve numerically a very large linear systems may increase rapidly with the dimension...
{ "timestamp": "2012-03-13T01:04:03", "yymm": "1203", "arxiv_id": "1203.1715", "language": "en", "url": "https://arxiv.org/abs/1203.1715" }
\section{Introduction}\label{Introduction} The heat kernel plays a central role in many areas of mathematics and physics. At present date two main expansion schemes have been developed to calculate the heat kernel for general backgrounds. The first is the early time or local expansion, which is also known as the Schwi...
{ "timestamp": "2013-01-14T02:01:32", "yymm": "1203", "arxiv_id": "1203.2034", "language": "en", "url": "https://arxiv.org/abs/1203.2034" }
\section{\large Introduction} Let $R$ be a commutative ring with $1$. The symplectic group Sp$_{2n}(R)$ is the isotropy group of $\psi_n $ under the action of SL$_{2n}(R)$ on $\psi_n$ by conjugation, i.e. Sp$_{2n}(R) = \{\alpha \in $ SL$_{2n}(R)\mid \alpha^t \psi_n \alpha = \psi_n\}$. (Here $\psi_n \in$~SL$_{2n}(Z\!...
{ "timestamp": "2013-03-26T01:04:39", "yymm": "1203", "arxiv_id": "1203.2104", "language": "en", "url": "https://arxiv.org/abs/1203.2104" }
\section{Introduction} In clusters containing high concentrations of massive stars (B3 and earlier), binary and multiple systems provide a virtual cornucopia of information about the massive stars and the nature of their formation process. In addition to the frequency at which they occur, we may examine the distributio...
{ "timestamp": "2012-03-12T01:02:17", "yymm": "1203", "arxiv_id": "1203.2156", "language": "en", "url": "https://arxiv.org/abs/1203.2156" }
\section{Introduction} The unprecedented isotropy of the cosmic microwave background radiation revealed by modern CMB experiments is -- justifiably enough -- usually taken as an indication that we inhabit an isotropic universe. Together with the apparent (but far more debatable) homogeneity of matter distribution at sc...
{ "timestamp": "2012-03-12T01:01:31", "yymm": "1203", "arxiv_id": "1203.2072", "language": "en", "url": "https://arxiv.org/abs/1203.2072" }
\section{Introduction}\label{sec:intro} Since the discovery of quasicrystals \cite{Levine1984,Levine1986, Shechtman1984, Socolar1986}, quasi-periodic models in mathematical physics have formed an active area of research. The method of trace maps, originally introduced in \cite{Kadanoff0000, Kohmoto1983, Ostlun...
{ "timestamp": "2013-04-11T02:05:33", "yymm": "1203", "arxiv_id": "1203.2221", "language": "en", "url": "https://arxiv.org/abs/1203.2221" }
\section{Introduction} For a long time the direct interaction of photons with nuclei was generally considered too small to be relevant, primarily based on estimates about the magnitude of interaction matrix elements as in Ref. \cite{Matinyan}. Nevertheless, first interesting effects were observed in M\"ossbauer spectr...
{ "timestamp": "2012-10-03T02:04:15", "yymm": "1203", "arxiv_id": "1203.2149", "language": "en", "url": "https://arxiv.org/abs/1203.2149" }
\section{Introduction} Hundred years ago, Rutherford invented a new model for the interpretation of existing scattering experiments on the scattering of electrons on matter. In May 1911, Rutherford came forth with a model for the structure of atoms which provided a first understanding why electron scattering can ...
{ "timestamp": "2012-03-09T02:01:32", "yymm": "1203", "arxiv_id": "1203.1708", "language": "en", "url": "https://arxiv.org/abs/1203.1708" }
\section{Introduction} Cosmic rays are atomic nuclei that give, together with photons and magnetic fields, an important contribution to the energy balance of the interstellar medium. Their flux covers 32 orders of magnitude over 12 orders of magnitude in energy, with a power law of index $32/12 \sim 2.7$. They are domi...
{ "timestamp": "2012-03-09T02:03:43", "yymm": "1203", "arxiv_id": "1203.1845", "language": "en", "url": "https://arxiv.org/abs/1203.1845" }
\section{Introduction}\label{intro} Originally just a prediction of general relativity, gravitational lensing has recently emerged as an independent means to make precision astrophysical and cosmological measurements, which are blind to the exact nature of the lens mass. This is particularly true for weak lensing du...
{ "timestamp": "2012-03-12T01:02:09", "yymm": "1203", "arxiv_id": "1203.2138", "language": "en", "url": "https://arxiv.org/abs/1203.2138" }
\section{Preliminaries}\label{prelim-sec} Throughout this paper $A$ denotes an abelian variety over $k$. \subsection{Degree, trace and Euler bilinear form} Recall that for $f\in\operatorname{End}(A)$ one has $$\deg(f)=\det T_l(f)$$ where $T_l(f)$ is the representation of $f$ on the Tate module $T_l(A)$ for $l\neq \...
{ "timestamp": "2013-05-28T02:00:23", "yymm": "1203", "arxiv_id": "1203.2300", "language": "en", "url": "https://arxiv.org/abs/1203.2300" }
\section{INTRODUCTION} Type Ia supernovae (SNe~Ia) are considered to be ``standardizable'' candles when measuring the distance of distant objects \citep{1993ApJ...413L.105P} and thus play an important role in cosmology, helping determine key cosmological parameters \citep{1992ARA&A..30..359B, 1998AJ....116.1009R, 1998A...
{ "timestamp": "2012-04-02T02:00:32", "yymm": "1203", "arxiv_id": "1203.1932", "language": "en", "url": "https://arxiv.org/abs/1203.1932" }
\section{Introduction} Turbulent flows subject to background rotation are an important problem in fluid mechanics as several systems are affected by rotation. Rotation affects the Earth atmosphere and the oceans at large scales, it is crucial in many engineering flows such as in turbomachinery, and is also importa...
{ "timestamp": "2012-07-13T02:05:05", "yymm": "1203", "arxiv_id": "1203.2201", "language": "en", "url": "https://arxiv.org/abs/1203.2201" }
\section{Computing reputation} \label{sec:compute} From the structure of Lemma~\ref{lemma:uell} and the proof of Theorem~\ref{th:exist}, we can derive a direct method (Fig.~\ref{alg:equation}) for computing $\mathbf{r}$ from $\alpha$, $\mathbf{s}$, and $A$. This algorithm first solves (\ref{fell}) for $\ell$, obtainin...
{ "timestamp": "2012-03-09T02:03:14", "yymm": "1203", "arxiv_id": "1203.1820", "language": "en", "url": "https://arxiv.org/abs/1203.1820" }
\section{Introduction} \label{sec:intro} Mechanism design is often employed for coordinating group decision making among agents. Often, such mechanisms impose payments that agents have to pay to a central authority. Although maximizing revenue is a desirable objective in many settings (for example, if the mechanism ...
{ "timestamp": "2013-01-07T02:01:36", "yymm": "1203", "arxiv_id": "1203.1809", "language": "en", "url": "https://arxiv.org/abs/1203.1809" }
\section{Introduction} In Ref.~\cite{Broniowski:2009fm} a new mechanism for generating the transverse-momentum fluctuations in relativistic heavy-ion collisions was identified. It is based on the random event-by-event fluctuations of the initial size of the formed system, its subsequent hydrodynamic evolution, and st...
{ "timestamp": "2012-03-09T02:03:04", "yymm": "1203", "arxiv_id": "1203.1810", "language": "en", "url": "https://arxiv.org/abs/1203.1810" }
\section{Introduction} In this article, we show that the automorphism group of any poyadic group can be embedded in the group of automorphisms of its Post cover and then we apply this embedding to obtain some interesting automorphisms of cyclic extensions. Our notations in this article are standard and can be find i...
{ "timestamp": "2012-03-12T01:02:02", "yymm": "1203", "arxiv_id": "1203.2123", "language": "en", "url": "https://arxiv.org/abs/1203.2123" }
\section{Introduction} In classical General Relativity there exists a remarkably rich variety of different variational principles which give rise to Einstein's equation, or equations equivalent to it but expressed in terms of different field variables. The best known examples are the Einstein-Hilbert action express...
{ "timestamp": "2012-03-12T01:02:19", "yymm": "1203", "arxiv_id": "1203.2158", "language": "en", "url": "https://arxiv.org/abs/1203.2158" }
\section{Introduction} Theories containing an infinite number of (massless) higher spin currents are an interesting class of theories that lie in complexity somewhere between field and string theories. The first non-trivial examples where constructed about twenty-five years ago by Fradkin \& Vasiliev \cite{Fradkin...
{ "timestamp": "2013-06-05T02:01:45", "yymm": "1203", "arxiv_id": "1203.1939", "language": "en", "url": "https://arxiv.org/abs/1203.1939" }
\section{Introduction} The analysis of data consisting of curves or other types of functions, rather than scalars or vectors, is increasingly common in statistics (Ramsay \& Silverman, 2005). Many problems in this area involve modeling curves as functions of other curves. For example, Figure \ref{fig:Sample_curve...
{ "timestamp": "2014-04-22T02:08:37", "yymm": "1203", "arxiv_id": "1203.1975", "language": "en", "url": "https://arxiv.org/abs/1203.1975" }
\section{Introduction} \newcommand{\minitab}[2][l]{\begin{tabular}{#1}#2\end{tabular}} \setlength{\heavyrulewidth}{0.1em} \newcommand{\midrule[\heavyrulewidth]}{\midrule[\heavyrulewidth]} \renewcommand*\arraystretch{1.5} \def\Xint#1{\mathchoice {\XXint\displaystyle\textstyle{#1}}% {\XXint\textstyle\scriptstyle{#1}}...
{ "timestamp": "2013-07-22T02:08:33", "yymm": "1203", "arxiv_id": "1203.1958", "language": "en", "url": "https://arxiv.org/abs/1203.1958" }
\section{Motivation} The peculiar spatial relationship between closely related species was among the first patterns of diversity used to infer evolution. As early as the 1850s, Alfred Wallace noted that the closest relatives were often observed in adjacent yet non-overlapping regions \cite{wal52,wal55}. Wagner and Jor...
{ "timestamp": "2012-09-13T02:01:42", "yymm": "1203", "arxiv_id": "1203.1790", "language": "en", "url": "https://arxiv.org/abs/1203.1790" }
\section{Introduction} The Ramsey number $r(H)$ of a graph $H$ is the smallest integer $N$ such that every $2$-colouring of the edges of the complete graph $K_N$ on $N$ vertices contains a monochromatic copy of $H$. It has been known \cite{BonErd,FauSch,Ros} for a long time that the cycles $C_n$ on $n$ vertices have...
{ "timestamp": "2012-03-13T01:01:16", "yymm": "1203", "arxiv_id": "1203.2259", "language": "en", "url": "https://arxiv.org/abs/1203.2259" }
\section{Introduction} \label{intro} Materials presenting magneto-electric coupling exhibit magnetic properties coupled to the electric properties, such as polarization or dielectric constant. These materials have attracted a lot of attention over the last years since the magneto-electric coupling allows a possible c...
{ "timestamp": "2012-03-09T02:02:19", "yymm": "1203", "arxiv_id": "1203.1752", "language": "en", "url": "https://arxiv.org/abs/1203.1752" }
\section{Introduction}\label{sec:intro} Given the ubiquity of friendships in social interactions and complex social systems, the value of any particular friendship can be difficult to quantify. But some things are known: friendships are useful for finding new jobs, as in the ``weak ties'' or Granovetter effect~\cite{G...
{ "timestamp": "2013-02-27T02:01:04", "yymm": "1203", "arxiv_id": "1203.2268", "language": "en", "url": "https://arxiv.org/abs/1203.2268" }
\section{Introduction} \label{sec-intro} The story of the ``volume conjecture'' started with the crucial observation \cite{Kashaev} that the so-called Kashaev invariant of a knot $K$ defined at the $n$-th root of unity $q = e^{2 \pi i / n}$ in the classical limit has a nice asymptotic behavior determined by the hyp...
{ "timestamp": "2012-03-13T01:00:07", "yymm": "1203", "arxiv_id": "1203.2182", "language": "en", "url": "https://arxiv.org/abs/1203.2182" }
\section{Introduction} In the various attempts to quantize gravity, it is either assumed a purely gravitational theory without any matter fields, or it is considered that the interaction between gravity and matter is the most important element of the dynamics. I will adopt here the second approach. Much below ...
{ "timestamp": "2012-03-12T01:02:35", "yymm": "1203", "arxiv_id": "1203.2161", "language": "en", "url": "https://arxiv.org/abs/1203.2161" }
\section{Risks of Hidden Failure Correlations} \label{sec-avail} Ensuring high availability is usually a high priority for cloud infrastructure and services, and state replication and fault tolerance mechanisms is the focus of much industry and research attention. Most of this attention is focused {\em within} a part...
{ "timestamp": "2012-05-18T02:01:30", "yymm": "1203", "arxiv_id": "1203.1979", "language": "en", "url": "https://arxiv.org/abs/1203.1979" }
\section{Online HHH Detection and Time Series Construction}\label{sec:alg} While we presented our system overview in the previous section, it is still unclear how to efficiently detect the heavy hitters and construct time series in an online fashion (Step $2$ in Fig.~\ref{fig:sys}). To motivate our design, we start ...
{ "timestamp": "2012-03-12T01:02:38", "yymm": "1203", "arxiv_id": "1203.2163", "language": "en", "url": "https://arxiv.org/abs/1203.2163" }
\section{Introduction} A series of recent papers have analyzed the computational complexity of playing many different video games \cite{Lemmings,Platform,Games,Lemmings2}, but the most well-known classic Nintendo games have yet to be included among these results. In this paper, we analyze some of the best-known Ninten...
{ "timestamp": "2014-02-07T02:14:08", "yymm": "1203", "arxiv_id": "1203.1895", "language": "en", "url": "https://arxiv.org/abs/1203.1895" }
\section{Introduction} NGC 2024 is a well-studied star forming region at a distance of 415 pc \citep{1982AJ.....87.1213A} in the Orion B complex. The source consists of a dense ($n\approx 10^6$ cm$^{-3}$, \citet{1991A&A...246..570S}), narrow ($\approx$1$^\prime$), north-south extended molecular cloud with an embedded \...
{ "timestamp": "2012-03-12T01:00:56", "yymm": "1203", "arxiv_id": "1203.2012", "language": "en", "url": "https://arxiv.org/abs/1203.2012" }
\section{Introduction} High-sensitivity ring laser technology \cite{Stedman1997} that was developed for geodetic purposes in the past decades (see e.g. \cite{Rautenberg1997,Schreiber2003a}) led to the detection of earthquake-induced rotational ground motions far from seismic sources \cite{Stedman1995,McLeod1998,Panch...
{ "timestamp": "2012-03-13T01:01:29", "yymm": "1203", "arxiv_id": "1203.2277", "language": "en", "url": "https://arxiv.org/abs/1203.2277" }
\section{Introduction} This article reports on recent developments in building a Dynamic Data Driven Application System (DDDAS) for wildland fire simulations \cite{Mandel-2004-NDD,Douglas-2006-DVW-x,Beezley-2008-RDD}. A DDDAS\ is based on the ability to incorporate data into an executing simulation \cite{Darema-2004-D...
{ "timestamp": "2012-03-28T02:03:10", "yymm": "1203", "arxiv_id": "1203.2230", "language": "en", "url": "https://arxiv.org/abs/1203.2230" }
\section{\hspace*{-6mm}{\large\bf .\hspace{2mm}INTRODUCTION}} \end {center} \setcounter{equation}{0} The evolution of several dissipative phenomena can be described by the non linear equation \beq \label{11} {\cal L}_ \varepsilon u= (\partial_{xx}(\varepsilon \partial_t...
{ "timestamp": "2012-03-13T01:01:13", "yymm": "1203", "arxiv_id": "1203.2254", "language": "en", "url": "https://arxiv.org/abs/1203.2254" }
\section{Introduction} Studying the growth of structure and the distribution of galaxies in our Universe is a potent method for understanding both fundamental physics and the cosmological model. Measurements of the large scale structure are capable of testing our theory of gravity \citep*{AmendolaKunzSapone08}, distin...
{ "timestamp": "2012-09-27T02:04:32", "yymm": "1203", "arxiv_id": "1203.1695", "language": "en", "url": "https://arxiv.org/abs/1203.1695" }
\section{Introduction} The nature of the rapid increase in viscosity as liquids are cooled toward the glass transition is the subject of many theoretical approaches, however, there is no consensus on its fundamental mechanism \cite{berthier2011}. One plausible scenario is that dense packing leads to self-induced memor...
{ "timestamp": "2013-02-26T02:00:19", "yymm": "1203", "arxiv_id": "1203.1732", "language": "en", "url": "https://arxiv.org/abs/1203.1732" }
\section{Introduction} Many social, biological, and technological networks contain dynamics that are important to model. The links, nodes, and attributes of these dynamical systems change considerably as time progresses. Naturally, these dynamic networks induce arbitrary patterns of connectivity that are challenging t...
{ "timestamp": "2012-03-13T01:00:26", "yymm": "1203", "arxiv_id": "1203.2200", "language": "en", "url": "https://arxiv.org/abs/1203.2200" }
\section{Introduction}\label{sec1} Image segmentation aims to partition an image into a~set of nonoverlapping regions so that pixels within the same region are homogeneous with respect to some characteristic (e.g., gray value or roughness), while pixels from adjacent regions are significantly different with respec...
{ "timestamp": "2012-03-12T01:01:38", "yymm": "1203", "arxiv_id": "1203.2087", "language": "en", "url": "https://arxiv.org/abs/1203.2087" }
\section*{Introduction} Let $S$ be a polynomial ring over a field $K$, say of characteristic $0$ for simplicity. Let $I\subset S$ be a homogeneous ideal of $S$ and $M$ a finitely generated graded module. Denote by $\reg M$ the Castelnuovo-Mumford regularity of $M$. Denote by $K(I,M)$ the Koszul complex associated to...
{ "timestamp": "2012-03-09T02:02:47", "yymm": "1203", "arxiv_id": "1203.1783", "language": "en", "url": "https://arxiv.org/abs/1203.1783" }
\section{Motivation} The topic of ``Thermalization in expanding Non-abelian Plasmas'' is one of the most pressing issues in the physics of \emph{ultra-relativistic heavy ion collisions}. Heavy ion experiments involve at least initially far-from-equilibrium systems of strongly interacting matter described by quantum ...
{ "timestamp": "2012-03-12T01:01:15", "yymm": "1203", "arxiv_id": "1203.2042", "language": "en", "url": "https://arxiv.org/abs/1203.2042" }
\section{Introduction} Let $\mathcal{U},{ \mathcal H}$ be real separable Hilbert spaces and consider the following abstract stochastic Cauchy problem \begin{equation}\label{spde} { \mathrm{d}} X(t)+AX(t)\, { \mathrm{d}} t=B\, { \mathrm{d}} W(t),\, t>0; \quad X(0)=X_0, \end{equation} where $-A$ is the generator of ...
{ "timestamp": "2012-09-20T02:02:16", "yymm": "1203", "arxiv_id": "1203.2029", "language": "en", "url": "https://arxiv.org/abs/1203.2029" }
\section{Introduction} Despite its ubiquity in nature and human societies, the survival of cooperative behavior among unrelated agents (from bacteria to humans) when defection is the most advantageous strategy is not fully understood and constitutes one of the most fascinating theoretical challenges of Evolutionary Th...
{ "timestamp": "2012-06-28T02:03:03", "yymm": "1203", "arxiv_id": "1203.1768", "language": "en", "url": "https://arxiv.org/abs/1203.1768" }
\section{Introduction}\label{s:Introduction} The storm started yesterday with a side blow from a CME generated by the X1.1 flare on March 5th after a long period of southward-directed IMF. This first G2 storm scored the $K_P$ index of 6 and lasted over 12 hours. Around midnight on March 7th a huge X5.4 flare has...
{ "timestamp": "2012-03-12T01:00:18", "yymm": "1203", "arxiv_id": "1203.1951", "language": "en", "url": "https://arxiv.org/abs/1203.1951" }
\section{Introduction} \label{sec:introduction} The International Linear Collider (ILC)\cite{Brau:2007sg,Phinney:2007gp} is a planned linear electron positron collider with a foreseen length of about \unit[31]{km}. Its center of mass energy is tunable from 200 to \unit[500]{GeV}. Further, the options to run the collid...
{ "timestamp": "2012-03-12T01:01:32", "yymm": "1203", "arxiv_id": "1203.2074", "language": "en", "url": "https://arxiv.org/abs/1203.2074" }
\section{Introduction} The determination of the coronal magnetic field constitutes a cornerstone in solar physics. The response of the plasma, its structure, dynamics and thermodynamic properties largely depend on the structure and strength of the coronal magnetic field. The difficulty in assessing the latter is thus ...
{ "timestamp": "2012-03-12T01:01:34", "yymm": "1203", "arxiv_id": "1203.2077", "language": "en", "url": "https://arxiv.org/abs/1203.2077" }
\section{Introduction} Improvement in experimental techniques in the last decades has led to the production and study of very light neutron rich nuclei up to and even beyond the neutron dripline. One of the very interesting phenomena in such nuclei is the neutron halo\cite{exotic}. The halo significantly affects d...
{ "timestamp": "2012-03-13T01:00:40", "yymm": "1203", "arxiv_id": "1203.2218", "language": "en", "url": "https://arxiv.org/abs/1203.2218" }
\section{Introduction} There is a rich analogy between quantum mechanics and what one might call `stochastic mechanics', where probabilities take the place of amplitudes \cite{Azimuth}. In quantum mechanics, we specify the state of a system by an element $\psi$ of a Hilbert space, and describe its time evolut...
{ "timestamp": "2012-03-12T01:01:11", "yymm": "1203", "arxiv_id": "1203.2035", "language": "en", "url": "https://arxiv.org/abs/1203.2035" }
\section{Introduction} Let $\mathbb K$ be a field of characteristic zero and let $\Gamma=\{P_1,\ldots,P_m\}\subset \mathbb P^n_{\mathbb K}$ be a reduced finite set of points, not all in a hyperplane (i.e., non-degenerate). Let $hyp(\Gamma)$ be the maximum number of points of $\Gamma$ lying in any hyperplane. Define ...
{ "timestamp": "2012-03-12T01:01:13", "yymm": "1203", "arxiv_id": "1203.2040", "language": "en", "url": "https://arxiv.org/abs/1203.2040" }
\subsection{} Motility is a fundamental trait that distinguishes living things. The macroscopic motion of plants and animals can ultimately be reduced to motion on the level of single cells~\cite{bray_cell_1992}. The movement of single cells also play a pivotal role in phenomena not directly related to movement of th...
{ "timestamp": "2012-03-12T01:00:24", "yymm": "1203", "arxiv_id": "1203.1957", "language": "en", "url": "https://arxiv.org/abs/1203.1957" }
\section{Introduction} The lower effective temperatures of M stars (or red dwarfs)---which comprise about three-quarters of the stellar population---render the detection of orbiting, close-in, Earth-like exoplanets amenable to both the transit and radial velocity techniques \citep{char09}. The immense interest in hun...
{ "timestamp": "2012-06-01T02:03:05", "yymm": "1203", "arxiv_id": "1203.1922", "language": "en", "url": "https://arxiv.org/abs/1203.1922" }
\section{Introduction} The cause of the acceleration of the Universe's expansion, real or apparent it may be, is yet shrouded in mystery. The easiest explanation involves Einstein's cosmological constant and results in the ``standard" cosmological model, $\Lambda$CDM. However, this suffers of fine tuning problems...
{ "timestamp": "2012-03-12T01:02:18", "yymm": "1203", "arxiv_id": "1203.2157", "language": "en", "url": "https://arxiv.org/abs/1203.2157" }
\section{Introduction} Recently, there has been an increasing interest in not only improving the running times of exact algorithms for various NP-hard problems, but also in finding the limits of such improvements. {\em{Parameterized complexity}} is a very useful framework for such study: in this approach, an instance~...
{ "timestamp": "2012-09-27T02:02:31", "yymm": "1203", "arxiv_id": "1203.1754", "language": "en", "url": "https://arxiv.org/abs/1203.1754" }
\section{Introduction} \label{intro} A remarkable scaling property of viscosity as a function of shear stress has been observed by by Olsson and Teitel \cite{OLSSEN-TEITEL-07} in simulations of a strongly overdamped, athermal, two-dimensional, amorphous system near its jamming transition. More recently, an approxim...
{ "timestamp": "2012-05-15T02:00:17", "yymm": "1203", "arxiv_id": "1203.1965", "language": "en", "url": "https://arxiv.org/abs/1203.1965" }
\section{Introduction} The presence of small dust grains in protostellar disks is critical to the thermal, dynamical, and chemical behavior of the gas, and is a crucial observational diagnostic. One particularly important feature is that dust tends to stabilize disks against the magnetorotational instability (MRI),...
{ "timestamp": "2012-03-09T02:03:11", "yymm": "1203", "arxiv_id": "1203.1817", "language": "en", "url": "https://arxiv.org/abs/1203.1817" }
\section{Introduction} Raman scattering is a powerful technique that provides information concerning single particle and collective excitations in solids.~\cite{LSIS1} Phonon excitations in graphene based systems have been widely studied in the last years~\cite{Jorio2011} providing a comprehensive understanding of the...
{ "timestamp": "2012-03-09T02:03:44", "yymm": "1203", "arxiv_id": "1203.1847", "language": "en", "url": "https://arxiv.org/abs/1203.1847" }
\section{Introduction} The reduced Hamiltonian of $q$-state Potts model\cite{potts,wfypotts} can be written as \begin{eqnarray} -{\mathcal H}/k_BT=K\sum\limits_{<i,j>}\delta_{\sigma_i\sigma_j},\label{pottsmodel} \end{eqnarray} where $\sigma_i$, $\sigma_j$ are the Potts spins on sites $i$ and $j$. The Potts s...
{ "timestamp": "2012-08-30T02:02:52", "yymm": "1203", "arxiv_id": "1203.2244", "language": "en", "url": "https://arxiv.org/abs/1203.2244" }
\section{Introduction} There are many applications in nuclear/particle physics for a reliable parametrization of inclusive electron-nucleus scattering. One example is the reliable evaluation of radiative corrections to measured data to extract inclusive electron scattering cross sections. Another is the evaluation of b...
{ "timestamp": "2012-03-20T01:04:13", "yymm": "1203", "arxiv_id": "1203.2262", "language": "en", "url": "https://arxiv.org/abs/1203.2262" }
\section*{Introduction} It is a classical result that the projective geometry can be recovered from its associated Grassmann space (cf. \cite{bichtalin}, \cite{talin}, \cite{pamb3}) and adjacency preserving bijections of projective $k$-subspaces ($2k+1 \neq$ the dimension of the space) are determined by collineati...
{ "timestamp": "2012-03-16T01:00:48", "yymm": "1203", "arxiv_id": "1203.2053", "language": "en", "url": "https://arxiv.org/abs/1203.2053" }
\section{Introduction} The theory of open quantum systems has experienced a resurgent interest because of the rapid development of quantum experimental technologies and their applications to the fabrication and manipulation of quantum devices (e.g. photonic devices, quantum dots, nano-mechanical oscillators). How...
{ "timestamp": "2012-03-13T01:00:44", "yymm": "1203", "arxiv_id": "1203.2220", "language": "en", "url": "https://arxiv.org/abs/1203.2220" }
\section{Introduction} Clusters of galaxies are the largest self-gravitating systems in the Universe, and offer unique information on the process of structure formation governed by cold dark matter (CDM)\@. In addition, these clusters are considered as a laboratory for studying thermal and chemical evolutions of the ...
{ "timestamp": "2012-06-26T02:08:23", "yymm": "1203", "arxiv_id": "1203.1700", "language": "en", "url": "https://arxiv.org/abs/1203.1700" }
\section{INTRODUCTION} Let $H_0(x,p,u),\, z=(x,p,u)\in B(z_0.2\rho)\subseteq\mbn$, be a second order continuously differentiable function, $H_0\in\mathcal{C}^2\big( B(z_0,2\rho)\subseteq\mbn\big)$ and consider the equation \begin{equation}\label{1.1} H_0(z)=H_0(z_0)\,\,\hbox{for}\,\,z=(x,p,u)\in D\s\mbn,\,z_0\in...
{ "timestamp": "2012-03-09T02:02:03", "yymm": "1203", "arxiv_id": "1203.1738", "language": "en", "url": "https://arxiv.org/abs/1203.1738" }
\section{Introduction} The flows in fluid layers of planets and moons are of major interest because they imply first order consequences for their internal dynamics and orbital evolutions. Indeed, internal flows create torques on solid layers and induce energy dissipation. Moreover, internal flows are directly responsi...
{ "timestamp": "2012-03-09T02:02:55", "yymm": "1203", "arxiv_id": "1203.1796", "language": "en", "url": "https://arxiv.org/abs/1203.1796" }
\section{Introduction} In finite-dimensional statistical models the Bernstein--von Mises theorem provides a frequentist justification of the use of Bayesian methods. In the case of infinite-dimensional models, consistency properties in weak metrics hold under relatively mild conditions; see Schwartz \cite{S66}. ...
{ "timestamp": "2012-03-12T01:01:15", "yymm": "1203", "arxiv_id": "1203.2043", "language": "en", "url": "https://arxiv.org/abs/1203.2043" }
\section*{Introduction and outline} Higher Reidemeister torsion is a cohomology class in the base of a smooth manifold bundle which can be used to distinguish between different smooth structures on the same topological manifold bundle. In other words, if $M\to B$ and $M'\to B$ are two smooth manifold bundles over th...
{ "timestamp": "2012-04-10T02:00:29", "yymm": "1203", "arxiv_id": "1203.2203", "language": "en", "url": "https://arxiv.org/abs/1203.2203" }
\section{Introduction} Let $\Omega \subset \Rd$ be a smooth bounded domain and $T > 0$. Let us denote $Q = \Omega \times (0,T]$. We are interested in the following problem: find a function $u(x,t)$, $u : \cl Q \to \ensuremath{\mathbb{R}}$, that solves \begin{align} \label{RP} \begin{cases} \partial_t b(u) - F(D^2 u, ...
{ "timestamp": "2012-03-13T01:00:48", "yymm": "1203", "arxiv_id": "1203.2224", "language": "en", "url": "https://arxiv.org/abs/1203.2224" }
{ "timestamp": "2012-03-12T01:00:38", "yymm": "1203", "arxiv_id": "1203.1986", "language": "en", "url": "https://arxiv.org/abs/1203.1986" }
\section{Introduction -- summary} In the 70's, it has been observed by Chernoff and Marsden \cite{Chernoff-Marsden} that the Schr\"{o}dinger equation $i\hbar \frac{d\psi}{dt}=H\psi$ is Hamiltonian with respect to the symplectic form coming from the imaginary part of the Hermitian scalar product of the Hilbert ...
{ "timestamp": "2012-03-12T01:01:21", "yymm": "1203", "arxiv_id": "1203.2056", "language": "en", "url": "https://arxiv.org/abs/1203.2056" }
\section{Star Formation} \label{star} We make use of fiducial L$^\ast$ simulated disk galaxy (\tt g15784\rm) from the McMaster Unbiased Galaxy Survey (MUGS) (Stinson et~al. 2010). Our earlier work with this simulation has focused on the temporal evolution of its metallicity gradient (Pilkington et~al. 2012a) an...
{ "timestamp": "2012-03-12T01:00:44", "yymm": "1203", "arxiv_id": "1203.1996", "language": "en", "url": "https://arxiv.org/abs/1203.1996" }
\section{An effective action for QEG} Ideally, if one wanted to study the quantum evolution of the curvature at very high, let's say planckian energies, the full effective action $\Gamma(g_{\mu\nu})$ should in principle be used. This functional coincides with $\Gamma_k(g_{\mu\nu})$ in the limit $k\to 0$ but this limit...
{ "timestamp": "2012-03-12T01:00:25", "yymm": "1203", "arxiv_id": "1203.1962", "language": "en", "url": "https://arxiv.org/abs/1203.1962" }
\section{Introduction} When we apply a magnetic field to a normal metal, the magnetic field penetrates the metal. If the metal becomes superconducting when the metal is cooled, the magnetic field in the bulk of the superconductor may be expelled. The magnetic field is expelled, if the strength of the field is lowe...
{ "timestamp": "2013-04-23T02:00:53", "yymm": "1203", "arxiv_id": "1203.2227", "language": "en", "url": "https://arxiv.org/abs/1203.2227" }
\section{Introduction} Let $(a,b)$ be some bounded interval and consider the class $\mathcal{M}$ of all (positive) Borel measures $\omega$ on $(a,b)$ for which the integral \begin{align*} \int_{a}^{b} (b-x)(x-a) d\omega(x) \end{align*} is finite. The spectral problem for a string with fixed endpoints and mass ...
{ "timestamp": "2014-07-02T02:11:57", "yymm": "1203", "arxiv_id": "1203.2271", "language": "en", "url": "https://arxiv.org/abs/1203.2271" }
\section{Introduction}\label{sec:intro} In this paper, we give the construction of the positive principal series representation for the modular double $U_{q\til[q]}(\g_\R)$ for simply-laced $\g$, generalizing our recent work \cite{FI} where the positive representations for the modular double $U_{q\til[q]}(\sl(n,\R))$ ...
{ "timestamp": "2012-04-12T02:01:31", "yymm": "1203", "arxiv_id": "1203.2018", "language": "en", "url": "https://arxiv.org/abs/1203.2018" }
\section{Introduction} Optomechanical systems (OMS) provide a platform to study macroscopic quantum phenomena \cite{R1,R2}. Recent experiments have achieved the motional ground states of micro-nano oscillators \cite{ex00, ex01, ex02}, creating the possibility toward manipulating macroscopic quantum objects. On the ot...
{ "timestamp": "2012-06-07T02:06:14", "yymm": "1203", "arxiv_id": "1203.1977", "language": "en", "url": "https://arxiv.org/abs/1203.1977" }
\section{Discussion} \label{sect:conclusion} Our results demonstrate that many properties of an $\omega$-categorical structure $\Gamma$ are already determined by the polymorphism clone of $\Gamma$ viewed as a \emph{topological clone}, i.e., viewed as an abstract algebraic structure additionally equipped with the topo...
{ "timestamp": "2012-12-04T02:02:56", "yymm": "1203", "arxiv_id": "1203.1876", "language": "en", "url": "https://arxiv.org/abs/1203.1876" }
\section{Introduction} At any time during the cosmic history, the majority of baryons is supposed to rest not in stars and galaxies, but in the intergalactic medium (IGM). During the evolution toward low redshifts, this reservoir undergoes a substantial change in properties. At redshifts of $\approx 2$ most of the IGM...
{ "timestamp": "2012-03-09T02:03:00", "yymm": "1203", "arxiv_id": "1203.1800", "language": "en", "url": "https://arxiv.org/abs/1203.1800" }
\section{Introduction} In this paper, we look to build upon and unite two perspectives on flag varieties. On the one hand, there has been progress in understanding the totally nonnegative parts of flag varieties and how we can characterize them, including \cite{Lus2}\cite{pos}\cite{Wil}\cite{TW}\cite{Lam}\cite{Lus3} a...
{ "timestamp": "2022-08-25T02:03:19", "yymm": "2208", "arxiv_id": "2208.09128", "language": "en", "url": "https://arxiv.org/abs/2208.09128" }
\section{Introduction} \label{sec_introduction} Video frame interpolation(VFI) is a challenging task in computer vision, which is widely used in slow motion video generation, high rate frame conversion and video frames recovery, etc. The goal of VFI is to synthesize nonexistent intermediate frames between two consec...
{ "timestamp": "2022-08-22T02:05:26", "yymm": "2208", "arxiv_id": "2208.09127", "language": "en", "url": "https://arxiv.org/abs/2208.09127" }
\section{Introduction} Augmented Reality (AR) enhances the real world with the addition of computer generated virtual elements. Many senses, smell, touch, hearing, and sight, can potentially be augmented, though the most common application of AR is sight, using a head-mounted display~\cite{carmigniani2011augmentedsurv...
{ "timestamp": "2022-08-22T02:04:15", "yymm": "2208", "arxiv_id": "2208.09094", "language": "en", "url": "https://arxiv.org/abs/2208.09094" }
\section*{Abstract} Numerous biological systems exhibit transitions to synchronised oscillations via a population-density-dependant mechanism known as quorum sensing. Here we propose a model system, based on spatially distributed limit-cycle oscillators, that allows us to capture the dynamics of synchronization fronts...
{ "timestamp": "2022-08-22T02:05:04", "yymm": "2208", "arxiv_id": "2208.09119", "language": "en", "url": "https://arxiv.org/abs/2208.09119" }
\section{Learning with IID Data} \label{sec:IID} \subsection{The Algorithm} \label{sec:algo} The algorithm for top-$m$ arm identification in the IID data setting is described in Algorithm~\ref{alg:main}. In the high level, our algorithm follows the successive elimination/halving approach~\cite{ABM10,KKS13,KZZ20}. H...
{ "timestamp": "2022-08-22T02:01:16", "yymm": "2208", "arxiv_id": "2208.09029", "language": "en", "url": "https://arxiv.org/abs/2208.09029" }
\section{Introduction}\label{sec:introduction} Sound effects libraries are collections of prerecorded audio assets curated and meant for use by sound designers and editors. In application, a user will search for sounds necessary for their project by querying the library with a computer or other commercial tools for sou...
{ "timestamp": "2022-08-22T02:04:20", "yymm": "2208", "arxiv_id": "2208.09096", "language": "en", "url": "https://arxiv.org/abs/2208.09096" }
\section{Introduction\label{sect:intro}} Consider a 4D braneworld embedded in the bulk spacetime, $M_4 \times S^1$. If the brane is at rest on $S^1$, the brane worldvolume has an exact 4D Lorentz symmetry. But if the brane is moving, the Lorentz symmetry is broken globally by the compactification. As shown in \cite{G...
{ "timestamp": "2022-08-22T02:00:44", "yymm": "2208", "arxiv_id": "2208.09014", "language": "en", "url": "https://arxiv.org/abs/2208.09014" }