Dynamical large deviations for the boundary driven symmetric exclusion process with Robin boundary conditions

IF 0.6 4区数学 Q4 STATISTICS & PROBABILITY

Alea-Latin American Journal of Probability and Mathematical Statistics Pub Date : 2022-03-27 DOI:10.30757/alea.v19-60

T. Franco, P. Gonccalves, C. Landim, A. Neumann

引用次数: 3

Abstract

. In this article, we consider a one-dimensional symmetric exclusion process in weak contact with reservoirs at the boundary. In the diﬀusive time-scaling the empirical measure evolves according to the heat equation with Robin boundary conditions. We prove the associated dynamical large deviations principle.

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具有Robin边界条件的边界驱动对称不相容过程的动力学大偏差

在本文中，我们考虑了在边界处与储层弱接触的一维对称排斥过程。在不同的时间标度中，经验测度根据具有Robin边界条件的热方程发展。我们证明了相关的动力学大偏差原理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Alea-Latin American Journal of Probability and Mathematical Statistics STATISTICS & PROBABILITY-

CiteScore

1.10

自引率

0.00%

发文量

期刊介绍： ALEA publishes research articles in probability theory, stochastic processes, mathematical statistics, and their applications. It publishes also review articles of subjects which developed considerably in recent years. All articles submitted go through a rigorous refereeing process by peers and are published immediately after accepted. ALEA is an electronic journal of the Latin-american probability and statistical community which provides open access to all of its content and uses only free programs. Authors are allowed to deposit their published article into their institutional repository, freely and with no embargo, as long as they acknowledge the source of the paper. ALEA is affiliated with the Institute of Mathematical Statistics.