A balanced excited random walk

作者:Benjamini Itai*; Kozma Gady; Schapira Bruno
来源:Comptes Rendus Mathematique, 2011, 349(7-8): 459-462.
DOI:10.1016/j.crma.2011.02.018

摘要

The following random process on Z(4) is studied. At first visit to a site, the two first coordinates perform a (2-dimensional) simple random walk step. At further visits, it is the last two coordinates which perform a simple random walk step. We prove that this process is almost surely transient. The lower dimensional versions are discussed and various generalizations and related questions are proposed.

  • 出版日期2011-4