Local trapping for elliptic random walks in random environments in \(\mathbb {Z}^d\)

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• 作者：Alexander Fribergh ; Daniel Kious
• 刊名：Probability Theory and Related Fields
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：165
• 期：3-4
• 页码：795-834
• 全文大小：867 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Probability Theory and Stochastic Processes
  Mathematical and Computational Physics
  Quantitative Finance
  Mathematical Biology
  Statistics for Business, Economics, Mathematical Finance and Insurance
  Operation Research and Decision Theory
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-2064
• 卷排序：165

文摘

We consider elliptic random walks in i.i.d. random environments on \(\mathbb {Z}^d\). The main goal of this paper is to study under which ellipticity conditions local trapping occurs. Our main result is to exhibit an ellipticity criterion for ballistic behavior which extends previously known results. We also show that if the annealed expected exit time of a unit hypercube is infinite then the walk has zero asymptotic velocity.KeywordsRandom walk in random environmentsBallisticityEllipticity