Dissipation and high disorder

IF 2.1 1区数学 Q1 STATISTICS & PROBABILITY Annals of Probability Pub Date : 2014-11-24 DOI:10.1214/15-AOP1040

Le Chen, M. Cranston, D. Khoshnevisan, Kunwoo Kim

引用次数: 4

Abstract

Given a fieldfB(x)gx2Zd of independent standard Brownian motions, indexed by Z d , the generator of a suitable Markov process on Z d ; G; and suciently nice function : [0;1)! [0;1); we consider the influence of the parameter on the behavior of the system, dut(x) = (Gut)(x) dt + (ut(x))dBt(x) [t > 0; x2 Z d ]; u0(x) = c0 0(x); We show that for any

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耗散和高度失序

给定以Zd为索引的独立标准布朗运动场fb (x)gx2Zd，在Zd上合适的马尔可夫过程的生成器;G;这是一个非常好的函数:[0;1]!(0, 1);我们考虑参数对系统行为的影响，dut(x) = (Gut)(x) dt + (ut(x))dBt(x) [t > 0;x2 zd];U0 (x) = c0 (x);我们证明了这一点

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来源期刊

Annals of Probability 数学-统计学与概率论

CiteScore

4.60

自引率

8.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Annals of Probability publishes research papers in modern probability theory, its relations to other areas of mathematics, and its applications in the physical and biological sciences. Emphasis is on importance, interest, and originality – formal novelty and correctness are not sufficient for publication. The Annals will also publish authoritative review papers and surveys of areas in vigorous development.

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