偏置激活随机漫步的非固定

IF 1.2 2区数学 Q2 STATISTICS & PROBABILITY Annales De L Institut Henri Poincare-probabilites Et Statistiques Pub Date : 2015-07-16 DOI:10.1214/17-AIHP827

L. Rolla, L. Tournier

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引用次数: 15

摘要

我们证明了Z^d上具有偏跳分布的激活随机漫步模型对于任何正密度，如果睡眠率足够小，以及对于任何有限睡眠率，如果密度足够接近1，都不固定。这个证明使用了一个新的不固定准则。我们提供了一个过程的路径结构，独立的兴趣，用于证明这个非固定准则。

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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Non-fixation for biased Activated Random Walks

We prove that the model of Activated Random Walks on Z^d with biased jump distribution does not fixate for any positive density, if the sleep rate is small enough, as well as for any finite sleep rate, if the density is close enough to 1. The proof uses a new criterion for non-fixation. We provide a pathwise construction of the process, of independent interest, used in the proof of this non-fixation criterion.

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来源期刊

Annales De L Institut Henri Poincare-probabilites Et Statistiques 数学-统计学与概率论

CiteScore

2.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Probability and Statistics section of the Annales de l’Institut Henri Poincaré is an international journal which publishes high quality research papers. The journal deals with all aspects of modern probability theory and mathematical statistics, as well as with their applications.