meta stringlengths 97 612 | red_pajama_subset stringclasses 4
values | prompt stringlengths 1 200 | answer stringlengths 0 518k |
|---|---|---|---|
{'timestamp': '2017-09-27T02:03:53', 'yymm': '1607', 'arxiv_id': '1607.04597', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04597'} | arxiv | \section{Introduction}\label{Intro}
The original 1970 conception of Mastermind by Mordechai Meirowitz was a sequence reconstruction game. One player (the \emph{codemaker}) would construct a hidden s | equence of four pegs, each peg being one of six colors, and the other player (the \emph{codebreaker}) would make guesses of the same form, receiving feedback after each guess regarding how close they were to the hidden sequence. In 1963 Erd\H os and R\'enyi \cite{ER63} studied the two-color variant of this game, and af... |
{'timestamp': '2017-06-16T02:01:16', 'yymm': '1607', 'arxiv_id': '1607.04591', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04591'} | arxiv | \section{Error Bounds}\label{Error Bounds}
\subsection{The norm of a discretized Gaussian (Normalization of $\ket{\Psi(k_0)}$)}
\subsubsection{Normalizing $\ket{\Psi(k_0)}$}\label{Normalizing the cl | ock state}
We calculate the norm of a state in the space $\Lambda_{\sigma,n_0}$:
\begin{align}
\ltwo{\ket{\Psi(k_0)}}^2 &= A^2 \sum_{k \in \mathcal{S}_d(k_0)} e^{-\frac{2\pi}{\sigma^2}(k-k_0)^2} \\
&= A^2 \left( \sum_{k\in \mathbb{Z}} e^{-\frac{2\pi}{\sigma^2}(k-k_0)^2} + \epsilon_1 \right), \\
\text{where} \abs{\ep... |
{'timestamp': '2016-07-19T02:03:38', 'yymm': '1607', 'arxiv_id': '1607.04726', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04726'} | arxiv | \section{Introduction}
In high energy scatterings, gluon bremsstrahlung radiation plays a crucial role in describing the rapid rise of gluon density inside hadron and nucleus. The soft gluon radiatio | n is ingeniously encoded in the Balitsky-Fadin-Kuraev-Lipatov (BFKL) evolution equation~\cite{Balitsky:1978ic,Lipatov:1976zz,Kuraev:1976ge,Fadin:1975cb} which resums small-$x$ logarithms. As a result, the energy evolution of off-shell unintegrated parton distribution function in dilute limit is governed by the BFKL equ... |
{'timestamp': '2016-07-18T02:08:02', 'yymm': '1607', 'arxiv_id': '1607.04561', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04561'} | arxiv | \section{Introduction}
Toroidal Alfvén eigenmodes (TAEs) are discrete frequency MHD waves that exist in the toroidicity induced gap of the Alfvén continuum spectra in toroidal magnetized plasmas. TAE | s are typically excited by an ensemble of energetic ions (e.g.\ coming from auxiliary heating or from fusion reactions) with an inverted energy distribution along the characteristic curves of wave--particle interaction in momentum space. If these waves are excited to large amplitudes, they might eject a large fraction ... |
{'timestamp': '2016-07-19T02:04:46', 'yymm': '1607', 'arxiv_id': '1607.04754', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04754'} | arxiv |
\section{Introduction}\label{sec:intro}
A major challenge towards self-organizing networks (SON) is the joint
optimization of multiple SON use cases by
coordinately handling multiple conf | iguration parameters. Widely
studied SON use cases include coverage and capacity optimization
(CCO), mobility load balancing (MLB) and mobility robustness
optimization (MRO)\cite{3GPP36902}.\cosl{We need a reference here} However, most of
these works study an isolated single use case and ignore the conflicts
... |
{'timestamp': '2017-05-11T02:06:08', 'yymm': '1607', 'arxiv_id': '1607.04752', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04752'} | arxiv | \section{Introduction}
Cloning algorithms are numerical procedures aimed at simulating rare events efficiently, using a population dynamics scheme. In such algorithms, copies of the system are evolv | ed in parallel and the ones showing the rare behavior of interest are multiplied iteratively~\cite{Anderson1975_63_4,Glasserman_1996,2001IbaYukito,GRASSBERGER200264,
4117599,CappeGuillinetal,Forwardinterfacesampling,PhysRevLett.94.018104,
delmoral2005,Dean2009562,GuyaderArnaudetal,giardina_direct_2006,lecomte_numerical... |
{'timestamp': '2017-07-06T02:03:00', 'yymm': '1607', 'arxiv_id': '1607.04833', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04833'} | arxiv | \section{0pt}{12pt plus 4pt minus 2pt}{2pt plus 2pt minus 2pt}
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\DeclareSymbolFont{mathb}{U}{mathb}{m}{n}
\DeclareFontFamily{U}{matha}{\hyphenchar\font... |
{'timestamp': '2016-07-19T02:08:37', 'yymm': '1607', 'arxiv_id': '1607.04910', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04910'} | arxiv |
\section{More details for section \ref{sec:2wst}}
\label{app:2way}
\begin{figure}[h]
\tikzstyle{trans}=[-latex, rounded corners]
\begin{center}
\scalebox{0.7}{
\begin{tikzpictu | re}[->,>=stealth',shorten >=1pt,auto, semithick,scale=.9]
\tikzstyle{every state}=[fill=gold]
\node[state] at (0,4) (A) {$p$} ;
\node[state] at (3,4) (B) {$q$} ;
\node[state,initial,initial where=left,initial text={}, accepting] at (-3,4) (C) {$t$} ;
\path(A) ed... |
{'timestamp': '2017-01-11T02:05:09', 'yymm': '1607', 'arxiv_id': '1607.04903', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04903'} | arxiv | \section{Introduction}
While recurrent neural networks (RNNs) are seeing widespread success across many tasks, the fundamental architecture presents challenges to typical training algorithms.
In parti | cular, the problem of `vanishing/exploding gradients'~\cite{hochreiter1991untersuchungen} in gradient-based optimization persists, where gradients either vanish or diverge as one goes deeper into the network, resulting in slow training or numerical instability.
The long short-term memory (LSTM) network~\cite{hochreiter... |
{'timestamp': '2017-04-19T02:01:11', 'yymm': '1607', 'arxiv_id': '1607.04622', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04622'} | arxiv | \section{Introduction}
Our purpose is to classify all finite dimensional representations of the Leavitt path algebra $L(\Gamma)$ of a row-finite di(rected )graph $\Gamma$. The main tools we employ ar | e that the category of $L(\Gamma)$-modules is equivalent to a full subcategory of quiver representations of $\Gamma$ satisfying a natural isomorphism condition (Theorem \ref{teorem}) and an explicit Morita equivalence defined by a graph theoretical (reduction) algorithm (Theorem \ref{Morita}).\\
From the quiver repres... |
{'timestamp': '2016-12-16T02:08:36', 'yymm': '1607', 'arxiv_id': '1607.04860', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04860'} | arxiv |
\section{Outline}
\maketitle
\tocless\section{Introduction}{}
\addtocontents{toc}{\protect\setcounter{tocdepth}{1}}
There is a vast literature on the theory of {\em Newton polyhedra}, initiated b | y V.\ I.\ Arnold's hypothesis that `reasonable' invariants of objects (e.g.\ singularities, varieties, etc) associated to a `typical' (system of) analytic function(s) or polynomial(s) should be computable in terms of their {\em Newton diagrams} or {\em Newton polytopes} (\cref{Newton-definition}). In this article we re... |
{'timestamp': '2016-07-18T02:07:21', 'yymm': '1607', 'arxiv_id': '1607.04516', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04516'} | arxiv | \section{Derivation of the effective Hamiltonian}\label{sec:adiabatic}
In this section we illustrate the derivation of the OPO Hamiltonian,
as given by Eq.~(4) in the main text. We also sketch the ex | tension to
the case of an all-optical switch with two input beams. We first
describe the adiabatic elimination of the electronically excited
states in detail. We assume that the detuning
$\Delta=\omega_e-\omega_L$ is large compared with the relevant energy
scales for the electronic ground states ($\ket{g^{(i)}}$,
$\ket... |
{'timestamp': '2016-07-19T02:03:14', 'yymm': '1607', 'arxiv_id': '1607.04712', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04712'} | arxiv | \section{Introduction}
The noise assessment in physical measurements time series is an important measure of its statistical characteristics and overall quality.
Among the most effective approaches | to analyzing measurement noise (scatter) is Allan variance (AVAR), which was originally introduced
to estimate the frequency standards instability \cite{Allan1966}.
Later, AVAR has proved to be a powerful statistical tool for time series analysis, particularly, for the analysis of geodetic and astronomical
observat... |
{'timestamp': '2016-07-19T02:02:24', 'yymm': '1607', 'arxiv_id': '1607.04692', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04692'} | arxiv | \section{Introduction}
There are many ways to define the Fibonacci numbers. An equivalent approach to the standard recurrence relation, where $F_{n+1} = F_n + F_{n-1}$ and $F_1 = 1$ and $F_2=2$, is | that they are the unique sequence of integers such that every positive number can be written uniquely as a sum of non-adjacent terms. This expansion is called the Zeckendorf decomposition \cite{Ze}, and much is known about it. In particular, the distribution of the number of summands of $m \in [F_n, F_{n+1})$ converges... |
{'timestamp': '2016-08-16T02:13:25', 'yymm': '1607', 'arxiv_id': '1607.04882', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04882'} | arxiv |
\section{Introduction}
The work presented here, roughly speaking, aims at proving a version of the folklore statement: Gravitational waves carry energy away from an isolated system. More precisely | , a system with no radiation emitted to infinity must in fact be stationary. On physical grounds it is expected that truly time-periodic gravitational systems do not exist. This is due to the hyperbolic structure of the Einstein equations; any dynamical solution loses energy through outward radiation. However as remark... |
{'timestamp': '2016-07-25T02:01:18', 'yymm': '1607', 'arxiv_id': '1607.04911', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04911'} | arxiv |
\section{Cycle graphs}\label{sec:cycles}
We consider the family of graphs consisting of one cycle of length $\leq n$
(and no other edges or vertices).
We discuss both of the cases where the decoder i | s aware and oblivious of the value of $n$, as discussed in \Cref{pro:aware}. In particular we show that oblivious decoding requires a larger induced universal graph for this problem. Our new bounds leave small gaps which are interesting open problems to tighten.
\input{lowerbounds}
\input{upperbounds}
\section{General... |
{'timestamp': '2017-02-21T02:08:56', 'yymm': '1607', 'arxiv_id': '1607.04919', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04919'} | arxiv | \section{Introduction}
For the first decade of microlens planet detections, beginning with
OGLE-2003-BLG-235Lb \citep{ob03235}, the great majority of detections
required a combination of survey and | followup data. This is a consequence
of two effects. First, the survey coverage was generally too sparse to
characterize the planetary anomalies in the detected events \citep{gouldloeb}.
Second, thanks to aggressive alert capability, pioneered by the Optical
Gravitational Lensing Experiment (OGLE) Early Warning ... |
{'timestamp': '2016-07-19T02:00:29', 'yymm': '1607', 'arxiv_id': '1607.04652', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04652'} | arxiv | \section{Supplementary materials}
Here we elaborate on the symmetries of the studied models, derive
the effective Hamiltonian, as well as motivate the chosen disordered
interaction strength.
\subsec | tion{Symmetries}
Even with spatially dependent interactions the Hamiltonian,
\begin{equation}
\hat{H}=-t\sum_{i\sigma}\left(\hat{c}_{i\sigma}^{\dagger}\hat{c}_{i+1,\sigma}+\hat{c}_{i+1,\sigma}^{\dagger}\hat{c}_{i,\sigma}\right)+\sum_{i}U_{i}\hat{n}_{\uparrow i}\hat{n}_{\downarrow i},\label{eq:nonsymm}
\end{equation}
h... |
{'timestamp': '2016-12-06T02:08:31', 'yymm': '1607', 'arxiv_id': '1607.04940', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04940'} | arxiv | \section{Introduction}
\label{sxn:intro}
Graphs, long popular in computer science and discrete mathematics, have received renewed interest recently in statistics, machine learning, data analysis, and | related areas because they provide a useful way to model many types of relational data.
In this way, graphs can be used to extract insight from data arising in many application domains. In biology, e.g., graphs are routinely used to generate hypotheses for experimental validation~\cite{Tuncbag-2016-glioblastoma}; and... |
{'timestamp': '2016-07-18T02:07:37', 'yymm': '1607', 'arxiv_id': '1607.04530', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04530'} | arxiv | \section{\@startsection {section}{1}{\z@}{3.25ex plus 1ex minus
.2ex}{1.5ex plus .2ex}{\large\bf}}
\def\subsection{\@startsection{subsection}{2}{\z@}{3.25ex plus 1ex minus
.2ex}{1.5ex plus .2ex}{ | \normalsize\bf}}
\@addtoreset{equation}{section}
\makeatother
\title{ Prohorov-type local limit theorems on\\ abstract Wiener spaces }
\author{Alberto Lanconelli\footnote{Dipartimento di Matematica, Universit\'a degli Studi di Bari Aldo Moro, Via E. Orabona 4, 70125 Bari - Italia. E-mail: \emph{alberto.lanconell... |
{'timestamp': '2016-10-28T02:03:38', 'yymm': '1607', 'arxiv_id': '1607.04837', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04837'} | arxiv | \section{Introduction}
With the discovery of the Higgs Boson in 2012 by both the ATLAS~\cite{Higgs_atlas} and the CMS~\cite{Higgs_cms} collaborations, our understanding of the physics of the fundamen | tal particles up to the $1$ TeV scale, otherwise known as the Standard Model (SM), has been experimentally confirmed. However, though we know with certainty that SM is the correct picture, we also know with an equal degree of certainty that it is not the complete one. The mathematical framework of the SM is inconsisten... |
{'timestamp': '2016-08-22T02:04:07', 'yymm': '1607', 'arxiv_id': '1607.04838', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04838'} | arxiv | \section{Introduction}
\label{sec:introduction}
The cytoplasmic membrane separates the living cell from its extra-cellular surroundings,
while other intra-cellular membranes compartmentalize cellula | r organelles.
Biomembranes are constructed from two monolayers (leaflets) in a back-to-back arrangement, and are in general asymmetric in their lipids composition~\cite{Devaux,Meer}. For example, in human red blood cells, the inner cytoplasmic leaflet is composed mostly of phosphatidylethanolamine (PE) and phosphatidyl... |
{'timestamp': '2017-02-21T02:11:47', 'yymm': '1607', 'arxiv_id': '1607.04524', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04524'} | arxiv | \section{Introduction}
The inflationary universe scenario \cite{starobinsky,guth,linde} in which the early universe undergoes a rapid expansion
has been generally accepted as a solution to the hori | zon problem and some other
related problems of the standard big-bang cosmology.
The origin of the field that drives inflation is still unknown and is subject to speculations.
Among many models of inflation a popular class comprise tachyon inflation models
\cite{fairbairn,feinstein,shiu1,kofman,sami,shiu2,cline,ste... |
{'timestamp': '2016-07-19T02:05:57', 'yymm': '1607', 'arxiv_id': '1607.04817', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04817'} | arxiv | \section{Introduction}\label{sec1}
Optimization problems are prevalent and have held great importance
throughout history in engineering applications and scientific
endeavors. For instance, many probl | ems in the field of artificial
intelligence (AI) can be viewed as optimization problems. Accordingly,
generic \emph{local} optimization methods, such as hill climbing and the
gradient method, have been successfully adopted to solve AI problems since
early research on the topic \cite{kir70,gul94,dei11}. On the other han... |
{'timestamp': '2017-08-07T02:03:37', 'yymm': '1607', 'arxiv_id': '1607.04553', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04553'} | arxiv | \section{Introduction}
The optimal liquidation problem of large trades has been studied extensively in the micro-structure literature.
Two major sources of risk faced by large traders are:
(i) in | ventory risk arising from uncertainty in asset value; and
(ii) transaction costs arising from market friction.
In a frictionless and competitive market, an asset can be traded with any amount at any rate without affecting the market price of the asset.
The optimal liquidation problem then becomes an optimal stoppin... |
{'timestamp': '2016-12-06T02:14:23', 'yymm': '1607', 'arxiv_id': '1607.04604', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04604'} | arxiv | \section{Introduction}
\begin{quotation}
\textit{``One Picture is Worth a Thousand Words''}\\
\hspace*{\fill} [An advertisement for the \textit{San Antonio Light} (1918)]
\end{quotation}
Teachi | ng undergraduate \textit{Analysis of Algorithms} has been a rewarding, although a bit taxing, experience. I was often surprised to learn that many basic problems that clearly belong to its core syllabus had been left unanswered or partially answered. Also, it seemed a bit odd to me that many otherwise decent texts offe... |
{'timestamp': '2016-07-19T02:05:49', 'yymm': '1607', 'arxiv_id': '1607.04815', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04815'} | arxiv | \section{Introduction}
We start with a brief recall of $t$-designs.
Let ${\mathcal{P}}$ be a set of $v \ge 1$ elements, and let ${\mathcal{B}}$ be a set of $k$-subsets of ${\mathcal{P}}$, where $k$ | is
a positive integer with $1 \leq k \leq v$. Let $t$ be a positive integer with $t \leq k$. The pair
${\mathbb{D}} = ({\mathcal{P}}, {\mathcal{B}})$ is called a $t$-$(v, k, \lambda)$ {\em design\index{design}}, or simply {\em $t$-design\index{$t$-design}}, if every $t$-subset of ${\mathcal{P}}$ is contained in exactly... |
{'timestamp': '2016-07-18T02:07:36', 'yymm': '1607', 'arxiv_id': '1607.04527', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04527'} | arxiv | \section{Proof of Theorem~\ref{the:gl}}\label{sec:algorithm}
In this section, we prove Theorem~\ref{the:gl}.
Throughout this section, $G:[0,1]^E \to \mathbb{R}_+$ denotes the multilinear extension of | $g$, while $L:[0,1]^E \to \mathbb{R}_+$ and $W:[0,1]^E \to \mathbb{R}_+$ denote the following linear functions:
\begin{align*}
L({\bm x}) = \sum_{e \in E}{\bm x}(e)\ell(e) \quad \text{and} \quad
W({\bm x}) = \sum_{e \in E}{\bm x}(e)w(e).
\end{align*}
Furthermore, we define $d_g = \max_{e \in E} g(e)$, $d_\ell = \ma... |
{'timestamp': '2016-07-18T02:09:47', 'yymm': '1607', 'arxiv_id': '1607.04625', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04625'} | arxiv |
\section{{Introduction}}
\label{sect:intro}
Waves measured by a collection of nearby sensors, called an array of
receivers, carry information about their source and the medium through
which they tra | vel. We consider a typical remote sensing regime with
sources of small (point-like) support, and study the inverse problem
of determining them from the array measurements.
When the waves travel in a known and non-scattering (e.g. homogeneous) medium, the
sources can be localized with reverse time migration
\cite{Biond... |
{'timestamp': '2017-09-18T02:07:55', 'yymm': '1607', 'arxiv_id': '1607.04676', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04676'} | arxiv | \section{Introduction}
In various papers \cite{BV}, \cite{MaM}, \cite{MP4} the Ray-Singer
analytic torsion \cite{RS} has been used to study the
growth of torsion in the cohomology of cocompact arithm | etic groups. Since many
important arithmetic groups are not cocompact, it is very desirable to extend
these results to the noncompact case. There exist some results for hyperbolic
3-manifolds. In \cite{PR}, Pfaff and Raimbault obtained upper and lower bounds
for the growth of torsion in the cohomology of congruence s... |
{'timestamp': '2016-12-15T02:06:12', 'yymm': '1607', 'arxiv_id': '1607.04840', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04840'} | arxiv | \section{Introduction}
Recently, the LHCb collaboration performed the first full amplitude analysis of the decays $B^+\to J/\psi \phi K^+$ with $J/\psi\to\mu^+\mu^-$, $\phi\to K^+K^-$ with a data sa | mple of 3 fb$^{-1}$ of $pp$ collision data collected at $\sqrt{s}=7$ and $8$ TeV with the LHCb detector, confirmed the two old particles $X(4140)$ and $X(4274)$ in the $J/\psi \phi$ mass spectrum with statistical significance $8.4\sigma$ and $6.0\sigma$, respectively, determined the quantum numbers to be $J... |
{'timestamp': '2016-07-19T02:05:49', 'yymm': '1607', 'arxiv_id': '1607.04813', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04813'} | arxiv | \section{Introduction}
Let ${\mathcal{P}}$ be a set of $v \ge 1$ elements, and let ${\mathcal{B}}$ be a set of $k$-subsets of ${\mathcal{P}}$, where $k$ is
a positive integer with $1 \leq k \leq v$. | Let $t$ be a positive integer with $t \leq k$. The pair
${\mathbb{D}} = ({\mathcal{P}}, {\mathcal{B}})$ is called a $t$-$(v, k, \lambda)$ {\em design\index{design}}, or simply {\em $t$-design\index{$t$-design}}, if every $t$-subset of ${\mathcal{P}}$ is contained in exactly $\lambda$ elements of
${\mathcal{B}}$. The el... |
{'timestamp': '2016-07-18T02:07:51', 'yymm': '1607', 'arxiv_id': '1607.04545', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04545'} | arxiv | \section{Introduction}
Several natural graph classes are known to have polynomially many minimal separators, w.r.t. the number $n$ of vertices of the graph. It is the case for \emph{chordal} graphs, | which have at most $n$ minimal separators~\cite{RTL76}, \emph{weakly chordal}, \emph{circular-arc} and \emph{circle} graphs, which have $\mathcal{O}(n^2)$ minimal separators~\cite{BoTo01,KKW98}.
The property of having polynomially many minimal separators has been used in algorithms for decades, initially in an ad-hoc ... |
{'timestamp': '2016-07-22T02:02:31', 'yymm': '1607', 'arxiv_id': '1607.04708', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04708'} | arxiv | \section{Introduction}
Dust grains are the raw material for planetesimals, which over time form rocky planet cores. The widely accepted core accretion scenario implies that coagulation of micron-sized | dust grains into larger bodies is a first step for planet formation. Thus, it is important to investigate the grain size and its distribution in the birthplaces of planets: protoplanetary disks. If the emission is optically thin, the opacity index ($\beta$) can be used as an observational indication of grain size (pos... |
{'timestamp': '2017-08-29T02:02:17', 'yymm': '1607', 'arxiv_id': '1607.04888', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04888'} | arxiv | \section{Introduction}
Let $A$ and $B$ be nonempty subsets of an abelian group, and define the \emph{sumset} of $A$ and $B$ and the \emph{$h$-fold sumset} of $A$ as
\begin{align*}A+B := \{ a + b: a | \in A, b \in B\} \text{\hspace{3px} and \hspace{3px}} hA := \{ a_1 + \ldots + a_h: a_i \in A\},
\end{align*}
respectively. When the set $A$ is implicitly understood, we will reserve the letter $K$ to denote the doubling constant of $A$; that is, $K := |A+A|/|A|$. A classical result of Pl\"unnecke bounds the cardi... |
{'timestamp': '2016-09-15T02:07:27', 'yymm': '1607', 'arxiv_id': '1607.04714', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04714'} | arxiv | \section{Introduction}
Photonic crystals\cite{Yablonovitch1987,Joannopoulos_2008,Sakoda2013}
are systems with a spatially periodic structure of refractive medium.
Electromagnetic (EM) fields in a phot | onic
crystal are given by the Bloch states
where
frequency dispersion may have an energy gap as the
electronic band dispersion of solids.
This gives
us an opportunity to simulate microscopic quantum states of electrons by
the macroscopic EM waves governed by the classical Maxwell equations.
Especially, simulating topo... |
{'timestamp': '2016-08-24T02:02:23', 'yymm': '1607', 'arxiv_id': '1607.04705', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04705'} | arxiv | \section{Introduction}
The DC conductivity formula obtained by the Fermi-liquid theory is shown
to be equivalent to the one obtained by the linearized Boltzmann equation
in the textbook~\cite{A | GD}.
This proof is done for the case of spherical Fermi surface.
Its extension to the case of anisotropic Fermi surface
is done by Maebashi and Fukuyama~\cite{MF1}.
The Maebashi-Fukuyama formula is formal but exact.
On the other hand,
Taylor~\cite{Taylor} derived a formal but exact solution
of the linea... |
{'timestamp': '2016-11-04T01:06:34', 'yymm': '1607', 'arxiv_id': '1607.04877', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04877'} | arxiv | \section{Introduction}
Our main aim in this article is to analyze and then understand the structure of flat epimorphisms of rings more deeply. Indeed, we have successfully applied the Gabriel locali | zation theory and thereby we have found a new and simple proof to the fact that ``a ring map is a flat epimorphism if and only if it corresponds to a type of the G-localizations", see Corollary \ref{G-coro 2} and Theorem \ref{remark 200}. We should mention that, according to the knowledge of the author, there are some ... |
{'timestamp': '2018-02-08T02:07:14', 'yymm': '1607', 'arxiv_id': '1607.04851', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04851'} | arxiv | \section{Introduction}
Initiated by Gelu Popescu in \cite{MR1670202}, noncommutative
Poisson transforms, and subsequently the explicit and analytic
construction of isometric dilations, have been | proved to be an
extremely powerful tools in studying the structure of commuting and
noncommuting tuples of bounded linear operators on Hilbert spaces.
This is also important in noncommutative domains (and subsequently,
noncommutative varieties) classification problems in the operator
algebras (see \cite{MR2643314}... |
{'timestamp': '2017-01-04T02:03:13', 'yymm': '1607', 'arxiv_id': '1607.04878', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04878'} | arxiv | \section{Appendix: $\< TT \>$ at 2-loops}
The holographic formula for the power spectrum reads,
\begin{equation} \label{power_sp_h}
\Delta^2_{{\cal R}}(q) = -\frac{q^3}{4 \pi^2}
\frac{1}{{\rm Im} | \<\!\<T(q)T(-q)\>\!\>} ,
\end{equation}
where $T=T^i_i$ is the trace of the energy momentum tensor
and the double bracket notation indicates that the momentum conserving delta function (times $(2 \pi)^3$) has been removed. The imaginary part in (\ref{power_sp_h}) is taken after analytic continuation
\begin{equatio... |
{'timestamp': '2016-12-14T02:04:40', 'yymm': '1607', 'arxiv_id': '1607.04574', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04574'} | arxiv | \section{Introduction}
The study of mixtures of Bose-Einstein condensates (BECs) has opened rich opportunities for novel experimental and theoretical investigations. Mixtures of ultracold atoms offer | great flexibility thanks to the variety of atomic species and the additional degree of freedom related to the hyperfine structure \cite{Myatt97,Stenger98,Pu98,Ho98,Timmermans98,Ohmi98} (for a recent overview see \cite{Stamper13}). For a weakly interacting mixture of two BECs, the ground state of the system can either ... |
{'timestamp': '2016-07-18T02:07:55', 'yymm': '1607', 'arxiv_id': '1607.04552', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04552'} | arxiv | \section{Introduction}
In this paper, we introduce a novel objective for the generation of all $k$-subsets of $n$ elements and we discuss the structure of the resulting combinatorial optimization tas | k. In general, improving the order of elements in a sequence towards some objective is recognized to be a complex optimization task \cite{dewar} with interesting applications in computer science such as unit test coverage \cite{bryce,rothermel}.
Star trackers (see Figure \ref{fig:hydra}) are a common sensor used by a... |
{'timestamp': '2016-07-19T02:08:49', 'yymm': '1607', 'arxiv_id': '1607.04916', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04916'} | arxiv | \section{Introduction}
There are some techniques that have been used to recover the losses of entanglement
and protect it from decoherence. Among of these techniques is the
quantum purificat | ion
\cite{Bennt,Deutsch,Metwally2002,Metwally2006}. Moreno et.
al.,\cite{Moreno} showed that, it is possible to improve the
coherence by using nested environments. Xiao et. al
\cite{Xiao2016} displayed that the teleportation of Fisher
information can be enhanced by using partial measurements. The
possibility of ... |
{'timestamp': '2017-03-31T02:01:54', 'yymm': '1607', 'arxiv_id': '1607.04864', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04864'} | arxiv | \section{Introduction. The Burgers equation} The main topics in this paper are directed polymers and the Burgers equation. We begin with the Burgers equation which is one of the basic nonlinear evolut | ionary PDEs. It has various interpretations and applications. Although Burgers himself introduced it as a fluid dynamics model in an attempt to create a simplified picture of turbulence
(see \cite{Burgers:MR0001147}, \cite{burgers1973nonlinear}),
the equation along with its modifications has been used to model diverse... |
{'timestamp': '2016-07-19T02:01:55', 'yymm': '1607', 'arxiv_id': '1607.04678', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04678'} | arxiv | \section{Introduction}
Galaxies are born, live, and die, within dark matter halos. We have
convincing evidence that the evolutionary history of galaxies and
halos is correlated to a strong degree: br | ighter, bigger galaxies have
higher clustering, indicative of being in more massive dark matter
halos (see, e.g., \citealt{norberg_etal:02, zehavi_etal:05,
zehavi_etal:11} for analyses at $z\sim 0$ and \citealt{coil_etal:06,
zheng_etal:07, wake_etal:11, leauthaud_etal:12_shmr} at higher
redshifts). Thus the growth ... |
{'timestamp': '2016-07-19T02:00:42', 'yymm': '1607', 'arxiv_id': '1607.04665', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04665'} | arxiv | \section{Introduction}
In tokamaks, non-axisymmetric magnetic field perturbations such as toroidal field ripple,
error fields and perturbation fields from Edge Localized Mode (ELM) mitigation coils
| produce non-ambipolar radial transport at non-resonant flux surfaces occupying most of the plasma volume.
The toroidal torque associated with this transport significantly changes the toroidal plasma rotation --
an effect known as neoclassical toroidal
viscosity~\cite{zhu06-225002,shaing09-075015,Park2009-65002,shain... |
{'timestamp': '2016-07-19T02:06:58', 'yymm': '1607', 'arxiv_id': '1607.04846', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04846'} | arxiv | \section{Introduction}
The problem of sampling complex free energy landscapes that exhibit long lived metastable states separated by large barriers is of great current interest\cite{longscale1,longsca | le2,longscale4}.
The vast literature on the subject is a clear evidence of its pressing relevance\cite{meta_review}.
Roughly speaking, two classes of methods can be identified. In one, a set of collective variables (CVs) that depend on the microscopic coordinates of the system
is chosen, and a bias that depends on th... |
{'timestamp': '2016-07-18T02:08:40', 'yymm': '1607', 'arxiv_id': '1607.04580', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04580'} | arxiv | \section*{Acknowledgments}
H.A. thanks the Department of Physics, Astronomy and Geosciences and Fisher College of Science and Math, Towson University, for travel support.
| |
{'timestamp': '2016-07-19T02:00:41', 'yymm': '1607', 'arxiv_id': '1607.04664', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04664'} | arxiv | \section*{Funding Information}
The authors acknowledge support from Yale University.
\maketitle
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\beginsupplement
\section{Supplement 1}
\subsection{Analytical model}
The forward Brillouin gain and resonance frequency of air in a hollow-core fiber can be predicted given the properties of air and the geometry of ... |
{'timestamp': '2016-11-09T02:06:18', 'yymm': '1607', 'arxiv_id': '1607.04658', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04658'} | arxiv | \section{Introduction and statement of the conjecture}
Let $p$ be a prime number, and let $N$ be a positive integer co-prime to $p$. The goal of this article is to investigate $U_p$-slopes:\ the $p$- | adic valuations of the eigenvalues of the $U_p$-operator acting on spaces of (overconvergent $p$-adic) cuspforms of level $\Gamma_0(Np)$. Ultimately, we formulate a conjecture which unifies currently disparate predictions for the behavior of slopes at weights ``in the center'' and ``towards the boundary'' of $p$-adic w... |
{'timestamp': '2016-07-19T02:05:21', 'yymm': '1607', 'arxiv_id': '1607.04788', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04788'} | arxiv | \section{Introduction}
Robots are increasingly being used in living spaces, factories, and outdoor environments. One recent trend has been the development of co-robots (or cobots), robots that are in | tended to physically interact with humans in a shared workspace. In such environments, various elements or parts of the robot tend to be in close proximity to the humans or other moving objects.
This proximity gives rise to two kinds of challenges in terms of motion planning.
First, we have to predict the future acti... |
{'timestamp': '2016-07-18T02:07:59', 'yymm': '1607', 'arxiv_id': '1607.04558', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04558'} | arxiv | \section{Introduction}
The classical problem to determine the rational points of the modular curve $X_0(p)$, when $p$ is a prime number, has been solved by Mazur in his paper \cite{Maz76} in 1975. | In his work, Mazur proved, for $p>37$, that the only rational points of the curve $X_0(p)$ are cusps and CM points. In the same paper Mazur also refers to the interesting case of the modular curve $X_0^+(p)$. This curve is the quotient of $X_0(p)$ by the Atkin-Lehner involution $w_p$. See Galbraith \cite[Section 2]{Gal... |
{'timestamp': '2016-09-22T02:05:23', 'yymm': '1607', 'arxiv_id': '1607.04937', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04937'} | arxiv | \section{introduction}
The $\rho$-meson distribution amplitudes (DAs) are key components for collinear factorization of the $\rho$-meson involved processes, such as the semi-leptonic decay $B(D)\to | \rho \ell \nu_{\ell}$ and the flavor-changing-neutral-current decays $B\to \rho\gamma$ and $B\to\rho \ell^+ \ell^-$, which are important for extracting the Cabibbo-Kobayashi-Maskawa (CKM) matrix elements and for searching new physics beyond the Standard Model. Inversely, those processes could provide good test of vari... |
{'timestamp': '2016-07-18T02:09:19', 'yymm': '1607', 'arxiv_id': '1607.04609', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04609'} | arxiv | \section{Introduction}
\label{sec:intro}
Hyperspectral imaging systems have become increasingly popular for a variety of applications, including remote sensing and biomedical analytics. With their de | nse, contiguous and narrow-band spectral sampling in visible through short-wave infrared regions of the electromagnetic spectrum, they provide rich spectral characterization of the objects that are dominant in the pixels of the hyperspectral image. The capability of hyperspectral data to accurately capture material-spe... |
{'timestamp': '2016-07-19T02:07:32', 'yymm': '1607', 'arxiv_id': '1607.04881', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04881'} | arxiv | \section[#1
\debug{\fbox {#2}}]{#1 \cmd{msec} \dlabel{#2}}%
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| \markboth{\today}{Sec. \thesection}}
\newcommand{\msubsubsection}[2]{\subsubsection[#1 \debug{\fbox {#2}}]
{#1 \cmd{msubsubsection} \dlabel{#2}}%
\markboth{\today}{Sec. \thesection}}
\renewcommand{{\hfill $\Box$}{\cmd{PE}}}{{\hfill qed}{\cmd{PE}}}
\renewcommand{\dB}{\begin{description}}
\renewcommand{\labelitemi... |
{'timestamp': '2017-08-01T02:14:52', 'yymm': '1607', 'arxiv_id': '1607.04578', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04578'} | arxiv | \section{Introduction}
Measurements on separated subsystems in a joint entangled state may display correlations that cannot be mimicked by local hidden variable (LHV) models.
These correlations are t | ermed nonlocal and are detected by violating Bell inequalities \cite{bell1964,review}. In recent years it has become clear that non-locality is interesting not only for fundamental reasons, but also as a resource for device-independent (DI) quantum information tasks \cite{review} such as quantum key distribution
\cite{... |
{'timestamp': '2016-07-19T02:00:14', 'yymm': '1607', 'arxiv_id': '1607.04643', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04643'} | arxiv | \section{Introduction \label{sec1}}
The on going search for new physics (NP)
is mostly inspired by the
shortcomings of the SM in addressing some of the fundamental
questions in modern particle physic | s, such as the
hierarchy problem,
the flavor patterns in the fermionic sector and dark matter.
Some of these unresolved issues may be closely related
and may have TeV-scale origins, thus inspiring the search
for TeV-scale NP, both theoretically and experimentally.
Indeed, two seemingly unrelated interesting measurement... |
{'timestamp': '2017-01-03T02:01:26', 'yymm': '1607', 'arxiv_id': '1607.04579', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04579'} | arxiv | \section{Introduction}\label{sec:intro}
\setlength{\abovedisplayskip}{3pt}
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\setlengt | h{\jot}{2pt}
\setlength{\floatsep}{2ex}
\setlength{\textfloatsep}{2ex}
We address the problem of \emph{learning from conditional distributions} where the goal is to learn a function that links conditional distributions to target variables. Specifically, we are provided input samples $\{x_i\}_{i=1}^N\in\Xcal^N$ and t... |
{'timestamp': '2016-12-07T02:09:32', 'yymm': '1607', 'arxiv_id': '1607.04761', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04761'} | arxiv | \section{Introduction}
The general idea of controlling transport is associated with the concept of implementing actions to ensure that a system exhibits desired characteristics. For example, Nature is | well known in presenting sophisticated mechanisms that regulate phenomena which take place in all scales of time and space \cite{haw2007}. A careful and systematic exploration of these mechanism reveals that sometimes it is more reliable to control the setup by letting it to fluctuate and change its dynamics as little... |
{'timestamp': '2016-11-16T02:03:59', 'yymm': '1607', 'arxiv_id': '1607.04569', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04569'} | arxiv | \section{Introduction}
\label{sec:intro}
Galaxy clusters form from large primordial density fluctuations that have collapsed and virialised by the present epoch, with more massive clusters forming fr | om larger and rarer fluctuations. This makes them especially sensitive to fundamental cosmological parameters, such as the matter density, the amplitude of the matter power spectrum and the equation of state of dark energy \citep[see][]{Voit2005,AllenEvrardMantz2011,KravtsovBorgani2012,Weinberg2013}. The observable pro... |
{'timestamp': '2016-07-19T02:07:29', 'yymm': '1607', 'arxiv_id': '1607.04879', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04879'} | arxiv | \section{Introduction}
\label{intro}
Converse and saturation results are an important part in regularization theory for solving ill-posed problems. Related results for Tikhonov regularization were dev | eloped many years ago and are well known, see Groetsch~\cite[Chapter 3]{Groetsch[84]} and the references therein, or Neubauer~\cite{Neubauer[97]}.
In the present paper we show that similar results can be obtained for \lavmet{}\xspace
when accretive\xspace linear bounded, and possibly non-selfadjoint, operators on Hilb... |
{'timestamp': '2016-09-23T02:01:43', 'yymm': '1607', 'arxiv_id': '1607.04774', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04774'} | arxiv | \section{Introduction}
Due to their ease of fabrication and integration as well as their large area and high quality factor of resonances \citep{Lee2012}, photonic crystal slabs with one or two dimen | sional periodicity \cite{Johnson1999,Fan2002,Zhou2014} have been widely used in many applications, such as filters \cite{Suh2004a}, lasers \cite{Hirose2014}, and sensors \cite{Chow2004}. For more efficient utilization of light, it is often desirable to achieve highly directional out-of-plane coupling of light from phot... |
{'timestamp': '2016-10-17T02:01:45', 'yymm': '1607', 'arxiv_id': '1607.04929', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04929'} | arxiv | \section{Introduction}
Two gravitational wave signals GW150914~\cite{Ligo} and GW151226~\cite{GW151226} generated by black hole merging systems were detected recently by the Laser Interferometer Gra | vitational-Wave Observatory. This confirms directly a prediction of Einstein based on his classical theory of general relativity~\cite{Einstein} regarding the existence of gravitational waves which are spacetime ripples propagating through the universe. Quantum mechanically, gravitational interaction is presumably ... |
{'timestamp': '2016-07-18T02:08:07', 'yymm': '1607', 'arxiv_id': '1607.04562', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04562'} | arxiv |
\section{Introduction}
\label{sec:intro}
The discovery of a light Higgs boson~\cite{higgs,discovery} has opened
a major new avenue in experimental and theoretical particle physics:
comprehensive tes | ts of a possible non-minimal fundamental scalar
sector, for which there exists a plethora of motivations. While there
has been a lot of progress in developing combined Higgs and gauge
analysis strategies for the LHC
Run~II~\cite{barca,legacy1,legacy2,other}, there exists no general and
proven analysis framework even fo... |
{'timestamp': '2016-07-19T02:06:27', 'yymm': '1607', 'arxiv_id': '1607.04832', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04832'} | arxiv | \section{Introduction}\quad
Determining the properties and phases of cold and dense nuclear matter, as found for example in the interior of neutron stars, is a difficult task, because neither lattice | methods nor perturbation theory can be applied in this regime of QCD.
Holographic methods allow the study of strongly-coupled QCD-like theories as a function of temperature and baryon chemical potential, to hopefully provide some useful qualitative information about the rich variety of phases and transitions that might... |
{'timestamp': '2016-11-29T02:12:09', 'yymm': '1607', 'arxiv_id': '1607.04857', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04857'} | arxiv | \section{Introduction}
The standard model (SM) has been tested at an unprecedented level of precision through various experiments. However, some excesses have not yet been completely resolved. The f | irst case is the muon anomalous magnetic moment {(muon $g-2$)}, where the discrepancy between experimental data and the SM prediction is currently $\Delta a_\mu = a^{\rm exp}_\mu - a^{\rm SM}_\mu =(28.8\pm 8.0)\times 10^{-10}$~\cite{PDG}. The second case is the angular observable $P'_5$ of $B\to K^* \mu^+ \mu^-$~\cit... |
{'timestamp': '2016-07-19T02:07:17', 'yymm': '1607', 'arxiv_id': '1607.04865', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04865'} | arxiv | \section{Introduction}\label{int}
The study of hypernuclei has been attracting great interest of
nuclear physics community in providing the information from
nucleon-nucleon (NN) interaction to hyper | on-nucleon (YN) and
hyperon-hyperon (YY) interactions.
Due to the injection of hyperons a new dimension is added in normal nuclear
system and hyperons serve as a potential probe for exploring many nuclear
properties in domain of strangeness~\cite{bando1990,tan2004,lu2011}.
However, hyperon-nucleon interaction is w... |
{'timestamp': '2016-09-02T02:04:08', 'yymm': '1607', 'arxiv_id': '1607.04605', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04605'} | arxiv | \section{Introduction}
In the last decade, many studies have permitted a deeper understanding of the relationship between gravity and gauge theories from the point of view of scattering amplitudes (s | ee \cite{review} for a comprehensive review). One of the most interesting results is color-kinematics
duality \cite{color-kinematics}, which allows the construction of gravity amplitudes by replacing color factors by a second copy of the
kinematic numerators. This double copy structure has a historic antecedent in the... |
{'timestamp': '2016-07-19T02:01:11', 'yymm': '1607', 'arxiv_id': '1607.04672', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04672'} | arxiv | \section{Introduction}
After the discovery of the extraordinary properties of graphene, the next challenge is to develop mechanisms that allow
the enhancement and modulation of such properties. Alo | ng these lines, strain engineering is currently one of the trending topics
in graphene science because of the possibility to induce new physical phenomena by means of mechanical strain. Examples are
modifications on the Fermi velocity,\cite{pereira2009} the modulation of Landau levels spectra,\cite{betancur2015} the ... |
{'timestamp': '2016-07-19T02:12:56', 'yymm': '1607', 'arxiv_id': '1607.04544', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04544'} | arxiv | \section{Introduction}
We consider a diffusion process in ${\mathbb R}^n$ solution of
\[
dX_{t}=\sum_{j=1}^{d}\sigma
_{j}(t,X_{t})\circ dW_{t}^{j}+b(t,X_{t})dt,\quad \quad X_0=x_0.
\]
where $W=(W^{1}, | ...,W^{d})$ is a standard Brownian motion and $\circ
dW_{t}^{j} $ denotes the Stratonovich integral.
We assume suitable regularity properties for $\sigma_{j},b:{\mathbb R}^{+}\times {\mathbb R}^{n}\rightarrow {\mathbb R}^{n}$ (see \eqref{Not2} for details). We also assume that the coefficients $\sigma_{j},b$ verify the... |
{'timestamp': '2018-05-25T02:11:17', 'yymm': '1607', 'arxiv_id': '1607.04803', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04803'} | arxiv | \section{Introduction.}\label{intro}
\section{Introduction}
A central modeling primitive in mathematical optimization is the disjunctive constraint: any feasible solution must satisfy at least one | of some fixed, finite collection of alternatives. This type of constraint is general enough to capture structures as diverse as boolean satisfiability, complementarity constraints, special ordered sets, and (bounded) integrality. The special case of polyhedral disjunctive constraints corresponds to the form
\begin{equa... |
{'timestamp': '2016-07-19T02:05:47', 'yymm': '1607', 'arxiv_id': '1607.04809', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04809'} | arxiv | \section{Introduction}
Recently, we proposed Prototypes as a way to represent knowledge on the web~\cite{researchPaper}\footnote{
Please use that paper as a reference for all definitions.}.
That paper | has its focus on theoretical aspects and analysis.
In this resource paper we describe the tools we developed to deploy prototypes.
First, in \cref{sec:standalone} we present the implementation of a knowledge base, based on the implementation of a Java interface, which can be used for storing prototypes.
Then, we reuse... |
{'timestamp': '2016-07-19T02:03:40', 'yymm': '1607', 'arxiv_id': '1607.04727', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04727'} | arxiv | \section{Introduction }
\paragraph{}In recent years, many authors have worked on fractional integral inequalities by using different fractional integral operator such as Riemann-Liouville, Hadamard, | Saigo and Erdelyi-Kober, see \cite{A,BA,BE,C1,C2,C3,C4,C5,D1,KA,P1,YI}. In \cite{KI2} S. Kilinc and H. Yildirim establish new generalized k-fractional integral inequalities involving Gauss hypergeometric function related to Chebyshev functional. In \cite{C2,D2} authors gave the following fractional integral inequali... |
{'timestamp': '2016-07-18T02:07:26', 'yymm': '1607', 'arxiv_id': '1607.04519', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04519'} | arxiv | \section{Introduction}
Advancement in the current technology of trapping and controlling single atoms cooled down to ultra low temperatures has opened new research directions in quantum optics and qu | antum communication.
Spatial configurations of linear atomic chains or two-dimensional atomic lattices have been engineered and have been widely applied in various experimental setups~\cite{coldgas,ryd1,ryd2}. Recently, the subject of utilizing super-cold atoms as highly reflecting mirrors has gained much attention. ... |
{'timestamp': '2016-07-19T02:07:16', 'yymm': '1607', 'arxiv_id': '1607.04862', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04862'} | arxiv | \section{Introduction}
Let $K$ be a convex body in ${\mathbb R}^n$, with barycenter at the origin (we call these bodies centered).
We denote by ${\rm as}(K)$ the average volume of the central hyperpl | ane sections of $K$:
\begin{equation}\label{eq:intro-1}{\rm as}(K)=\int_{S^{n-1}}|K\cap \xi^{\perp }|\,d\sigma (\xi ),\end{equation}
where $|\cdot |$ denotes volume in the appropriate dimension, $\xi^{\perp }$ is the subspace perpendicular to $\xi $, and $\sigma $
is the rotationally invariant probability measure on $S... |
{'timestamp': '2016-07-18T02:08:55', 'yymm': '1607', 'arxiv_id': '1607.04593', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04593'} | arxiv | \section{Introduction}
Hyperspectral imaging techniques have been widely used for a variety of applications such as mineral mapping, surveillance, and environmental monitoring. With its rich spectral | information, hyperspectral data provide unique spectral patterns of the materials present in the scene. This capability makes hyperspectral data especially suitable for ground cover classification problems. Although hyperspectral data forms a high dimensional feature space, the information is often effectively represen... |
{'timestamp': '2017-01-18T02:01:48', 'yymm': '1607', 'arxiv_id': '1607.04596', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04596'} | arxiv | \section{Introduction}
\label{sec:introduction}
Beyond-CMOS technologies using alternate state variables, such as electron spin, magnetic domains, spin waves, phase change, and photons have garnered | significant interest lately for low-power and robust computing applications \cite{galatsis2009alternate, allwood2005magnetic, slonczewski1999excitation, qureshi2009scalable}. Spin-based devices, implemented with nanomagnets, have become an extrememly popular choice for magnetic memory, storage, and logic owing to their... |
{'timestamp': '2016-07-19T02:03:19', 'yymm': '1607', 'arxiv_id': '1607.04717', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04717'} | arxiv | \section{Introduction}
A class of infinite-dimensional simple Lie algebras was introduced by R. Block \cite{B}. Generalizations of Block algebras, usually referred to as {\it Block type Lie algebras} | , partially because of which are closely related to the
Virasoro algebra, Virasoro-like algebra, or special cases of (generalized) Cartan type $S$ Lie algerbas or Cartan type $H$ Lie algerbas \cite{X3}, have been extensively studied (cf.~\cite{DZ2,WS,X1}). In this paper, we are interested in the representation theor... |
{'timestamp': '2016-07-18T02:08:54', 'yymm': '1607', 'arxiv_id': '1607.04592', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04592'} | arxiv | \section{Results and Discussion}
{ Consider the optical response of a symmetric quadrumer when it is excited by a plane wave, whose propagation direction and electric field polarization lie in the pl | ane of the quadrumer ($s$-polarization), as shown in Fig.~\ref{fig:schematic}a. }
\begin{figure}[!h]
\centering
\centerline{\includegraphics[width=0.5\textwidth]{schematic.pdf}}
\caption{(a) Schematic of the problem: a symmetric nanosphere quadrumer is excited by an in-plane $s$-polarized plane wave {(both propagation... |
{'timestamp': '2016-07-18T02:07:40', 'yymm': '1607', 'arxiv_id': '1607.04534', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04534'} | arxiv | \section{Introduction}
The original motivation for warped extra-dimensions was to
address the hierarchy problem, so that the fundamental scale of gravity
is exponentially reduced along the extra dime | nsion, from the Planck mass scale to the TeV
scale. Thus, the TeV scale becomes the natural scale of the Higgs sector
if this one is localized near the TeV boundary of the
extra dimension, as first introduced by Randall and Sundrum (RS) \cite{RS1}.
If SM fields are allowed to propagate in the extra dimension \cite{Davo... |
{'timestamp': '2017-03-28T02:05:31', 'yymm': '1607', 'arxiv_id': '1607.04698', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04698'} | arxiv | \section*{Acknowledgments}
\noindent This research was supervised by Ken Ono and David Zureick-Brown at the Emory University Mathematics REU and was supported by the National Science Foundation (gr | ant number DMS-1557960). We would like to thank David Zureick-Brown for suggesting the problem that led to the present article and for offering us his invaluable advice and guidance. We would also like to thank David Zureick-Brown for providing the intuition behind the proof of Lemma~\ref{proposition:lifting-l}. We wou... |
{'timestamp': '2016-07-19T02:02:57', 'yymm': '1607', 'arxiv_id': '1607.04709', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04709'} | arxiv | \section{Introduction}
In this paper, we study the fully nonlinear, possibly
degenerate, elliptic partial differential equation (PDE) in a bounded domain
\begin{equation}\label{DP}\tag{DP$_\lam | bda$}
\begin{cases}
\gl u(x)+F(x,Du(x),D^2u(x))=0 \ \ \text{ in }\ \gO,&\\[3pt]
\BC \ \ \text{ on }\bry,
\end{cases}
\end{equation}
where $\gl$ is a given positive constant which is often called a discount factor,
and $F\mid \ol\gO\tim\R^n\tim\bS^n\to\R$
is a given continuous function.
Here $\gO$ is a bounde... |
{'timestamp': '2016-07-18T02:08:46', 'yymm': '1607', 'arxiv_id': '1607.04588', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04588'} | arxiv | \section{Introduction}
Pre-class preparation positions students to get the most out of face-to-face class time \cite{Schwartz1998}. This is particularly important for active learning classrooms, where | students rely on their prior learning to participate in peer discussion and construct their own further understanding of key concepts. The standard approach to foster student preparedness is the assignment of pre-class reading. This is an evidence-based practice: in courses using pre-assignments coupled with quizzes... |
{'timestamp': '2017-02-21T02:01:50', 'yymm': '1607', 'arxiv_id': '1607.04751', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04751'} | arxiv | \section{Introduction}
We investigate the problem of simulation from a multivariate normal (MVN) distribution whose samples are restricted to the intersection of a set of hyperplanes,
which is shown | to be inherently related to the simulation of a conditional distribution of a
MVN distribution. A naive approach, which linearly transforms a random variable drawn from the conditional distribution of a related MVN distribution,
requires a large number of intermediate variables that are often computationally expensiv... |
{'timestamp': '2016-10-11T02:10:01', 'yymm': '1607', 'arxiv_id': '1607.04635', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04635'} | arxiv | \section{Introduction}\label{sec:intro}
As we enter the era of precision LHC phenomenology, where NNLO QCD calculations are becoming the standard for many processes, the influence of electroweak corr | ections is increasingly relevant. A complete treatment of these inevitably requires the inclusion of diagrams with initial--state photons, with corresponding photon parton distribution function (PDF) introduced in analogy to the more commonly considered PDFs of the quarks and gluons~\cite{Gluck:2002fi,Martin:2004dh,Bal... |
{'timestamp': '2016-07-19T02:01:54', 'yymm': '1607', 'arxiv_id': '1607.04677', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04677'} | arxiv | \section{Introduction}
Jovian Trojans are actually large populations of minor bodies in the 1:1
mean motion resonance (MMR) with Jupiter, librating around $L_4$ and $L_5$
Lagrangian points. In gene | ral, there are two classes of theories explaining
their origin:
i) a theory in the framework of accretion model (e.g. Goldreich 2004, Lyra et
al. 2009) and ii) a capture of bodies located in libration zones during a
migration of giant planets (Morbidelli et al. 2005, Morbidelli et al. 2010,
Nesvorn\'y et al. 2013)... |
{'timestamp': '2016-11-22T02:04:26', 'yymm': '1607', 'arxiv_id': '1607.04630', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04630'} | arxiv | \section{Introduction}
\label{sec:intro}
Discrete breathers are intrinsic localized modes that can emerge in networks
of coupled nonlinear oscillators \cite{breather_reviews,Aubry}. They have been
o | bserved not only in Hamiltonian lattices but also in driven dissipative
systems under certain conditions. Discrete breathers have been theoretically
predicted or experimentally generated in a wide variety of physical systems
such as Josephson junction arrays \cite{JJ}, coupled pendula chains
\cite{pendula}, micro- and ... |
{'timestamp': '2016-07-26T02:17:53', 'yymm': '1607', 'arxiv_id': '1607.04686', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04686'} | arxiv | \section{Introduction} \label{sec:intro}
The CDM paradigm, within which the majority of matter in the Universe is weakly interacting, has enjoyed great success in explaining astrophysical and cosmolo | gical data. The inclusion of CDM in the now standard \ensuremath{\Lambda}CDM{} cosmological model makes clear predictions for, among other things, the mass function of gravitationally collapsed structures (e.g.\ \citealt{Jenkins0005260, Evrard0110246, Tinker0803.2706}), the ratio of baryonic mass to CDM in galaxy clust... |
{'timestamp': '2016-09-09T02:03:03', 'yymm': '1607', 'arxiv_id': '1607.04863', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04863'} | arxiv | \section{Introduction}
\label{sect_intro}
\begin{figure*}[ht]
\vskip 0cm
\begin{center} \includegraphics[width=0.5\textwidth]{fig1.pdf}\end{center}
\caption{ Centrality dependence of $v_{2}$ scaled | by number of quarks and participant eccentricity
($v_2/$($n_q$$\varepsilon_{\mathrm{part}}\{2\}$)) for ${K}^{0}_{S}$ and $\Lambda$ as a function of ($m_T - m$)/$n_q$ in $0-10$\%, $10-40$\% and $40-80$\% Au+Au collisions
and $0-20$\% and $20-60$\% Cu+Cu collisions at \mbox{$\sqrt{\mathrm{\it s_{NN}}}$} = 200 GeV~\c... |
{'timestamp': '2016-07-18T02:07:18', 'yymm': '1607', 'arxiv_id': '1607.04513', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04513'} | arxiv | \section{Introduction}
\subsection{}
The notion of projective and affine geometry plays a crucial role in the emerging theory of $\mathbb{F}_1$, the field with one element. Combinatorially,
followi | ng Tits \cite{anal}, such a projective space $\mathbb{P}$ of dimension $m$ is a complete graph on $m + 1$ vertices endowed with the full subgraph structure.
Its automorphism group is isomorphic to the symmetric group $\texttt{S}_{m + 1}$, and the latter is the Weyl group of the projective general linear group of any pr... |
{'timestamp': '2016-07-18T02:10:00', 'yymm': '1607', 'arxiv_id': '1607.04636', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04636'} | arxiv | \subsection{Motivation}
In a kinetic description of fluid motion the state of the gas is defined by a kinetic function $f(x,t,v),$ that determines the distribution of molecules at position $x$ and tim | e $t$ according to the velocity $v,$ and a kinetic equation for $f,$
\begin{equation}
\label{eq:Kinetic}
\partial_t f{}+{}v\cdot\nabla{}_x f{}={}Q(f),
\end{equation}
where the right-hand side determines the changes in the kinetic density due to molecular interactions. In the kinetic models of gases, the collision opera... |
{'timestamp': '2016-07-18T02:07:18', 'yymm': '1607', 'arxiv_id': '1607.04514', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04514'} | arxiv | \section{Introduction}
Suppose that $\ensuremath{\textup{\textsf{F}}} = \ensuremath{\textup{\textsf{F}}}_q$ is a finite field with size~$q$. Let $m$ and~$n$ be integers such that $0 \le m \le n$.
The | paper that introduced Wiedemann's algorithm~\cite{wied86} also includes a proof of the following claim ---
which concerns an $n \times n$ matrix obtained by appending an additional set of row vectors to a matrix
$A \in \matgrp{\ensuremath{\textup{\textsf{F}}}}{m}{n}$ with maximal rank:\footnote{Wiedemann attributes mu... |
{'timestamp': '2016-07-19T02:04:00', 'yymm': '1607', 'arxiv_id': '1607.04739', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04739'} | arxiv | \section{A numerical example}
\label{Sec-6}
For the sake of the discussion in this section,
we adopt the view of the
Financial Stability Board and the International Monetary Fund
that the syste | mic risk can be caused by impairment of
all or parts of the financial system, and more formally, we call the risk factor
$j\in\{1,\ldots,l+m\}$ `systemic', if $c_{i,j}=1$ for at least two distinct r.c.'s
$i\in\{1,\ldots,n\}$. Also, we call the risk factor $j\in\{1,\ldots,l+m\}$
`idiosyncratic', if $c_{i,j}=1$ for o... |
{'timestamp': '2017-03-06T02:07:47', 'yymm': '1607', 'arxiv_id': '1607.04871', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04871'} | arxiv | \section*{Introduction}
Let $\mathcal{P}\subset\mathbb{R}^d$ be a $d$-dimensional lattice polytope,
that is, a convex polytope all of whose vertices belong to $\mathbb{Z}^d$.
Let $\operatorname{Vol}(\ | mathcal{P})$ denote the \emph{normalized volume} of $\mathcal{P}$, which is $d!$ times the Euclidean volume (Lebesgue measure) of $\mathcal{P}$. For $k\in \mathbb{Z}_{>0}$, the \emph{lattice point enumerator} $i(\mathcal{P},k)$ counts the number of lattice points in $k\mathcal{P}=\{k\alpha:\alpha\in \mathcal{P}\}$, the... |
{'timestamp': '2016-07-18T02:09:40', 'yymm': '1607', 'arxiv_id': '1607.04621', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04621'} | arxiv | \section{Introduction}
Wall-bounded turbulent shear flows are of general interest in many engineering applications.
Three-dimensional (3D) turbulent channel flow bounded by two parallel walls is one o | f the canonical flow considered for direct numerical simulation (DNS).
Starting with the seminal work of Kim {\it et al}.~\cite{KMM},
many DNSs have been performed for increasingly higher Reynolds number,
taking advantage of the growing power of supercomputers
(see, e.g., a review article \cite{Smits}).
Currently the... |
{'timestamp': '2017-05-09T02:03:40', 'yymm': '1607', 'arxiv_id': '1607.04755', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04755'} | arxiv | \section{Introduction}
We study $r$-nets, a powerful tool in computational and metric geometry, with several applications in approximation algorithms.
An $r$-net for a metric space $(X,\norm{\cdot}), | \, |X|=n$ and for numerical parameter $r$ is a subset $R\subseteq X$
such that the closed $r/2$-balls centered at the points of $R$ are disjoint, and the closed $r$-balls around the same points cover all of $X$. We define approximate $r$-nets analogously. Formally,
\begin{dfn}
Given a pointset $X \subseteq {\mathbb ... |
{'timestamp': '2017-11-27T02:13:38', 'yymm': '1607', 'arxiv_id': '1607.04690', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04690'} | arxiv | \section{Introduction}
\emph{Call-by-Push-Value}~\cite{LevyP04} is a class of functional languages
generalizing the lambda-calculus in several directions. From the point of view
of Linear Logic we un | derstand it as a half-polarized system bearing some
similarities with \Eg{}classical Parigot's lambda-mu-calculus, this is why we
call it $\CBPV{}$. The main idea of Laurent and Regnier interpretation of
call-by-name lambda-mu in Linear Logic~\cite{LaurentRegnier03} (following
actually~\cite{Girard91a}) is that all typ... |
{'timestamp': '2016-07-26T02:06:12', 'yymm': '1607', 'arxiv_id': '1607.04703', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04703'} | arxiv | \section{Introduction}
Lately there was a growing interest in studying self-similarity and fractal
properties of graphs, which is largely inspired by applications in biology, sociology and chemistry | \cite{song2005self,shanker2007defining}. Such studies often employ
statistical physics methods that use ideas from graph theory and general topology, but are not intended to approach the problems under consideration in a rigorous mathematical way. Several studies that translate certain notions of topological dimension... |
{'timestamp': '2016-07-19T02:01:47', 'yymm': '1607', 'arxiv_id': '1607.04674', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04674'} | arxiv |
\section{%
\@startsection
{section}%
{1}%
{\z@}%
{0.8cm \@plus1ex \@minus .2ex}%
{0.5cm}%
{%
\normalfont\small\bfseries
\centering
}%
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\def\@hangfrom@secti | on#1#2#3{\@hangfrom{#1#2}\MakeTextUppercase{#3}}%
\def\subsection{%
\@startsection
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{2}%
{\z@}%
{.8cm \@plus1ex \@minus .2ex}%
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{.... |
{'timestamp': '2017-02-17T02:04:40', 'yymm': '1607', 'arxiv_id': '1607.04842', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04842'} | arxiv | \section{Introduction}
In information theory, the \emph{index coding} problem~\cite{BK98a,BBJK06} is the following:
A sender wishes to \emph{broadcast} over a noiseless channel an $n$-symbol string | $x\in \mathbb{F}^n$ to a group of $n$ receivers $R_1,\ldots,R_n$,
each equipped with some \emph{side information}, namely, a subvector $x_{K_i}$ of $x$ indexed by a subset ${K_i} \subseteq \{x_1,\ldots ,x_n\}$.
The index coding problem asks what is the minimum length $m$ of a broadcast message that allows each recei... |
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