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  • 标题:Limit theorems for the tagged particle in exclusion processes on regular trees
  • 本地全文:下载
  • 作者:Dayue Chen ; Peng Chen ; Nina Gantert
  • 期刊名称:Electronic Communications in Probability
  • 印刷版ISSN:1083-589X
  • 出版年度:2019
  • 卷号:24
  • DOI:10.1214/18-ECP205
  • 语种:English
  • 出版社:Electronic Communications in Probability
  • 摘要:We consider exclusion processes on a rooted $d$-regular tree. We start from a Bernoulli product measure conditioned on having a particle at the root, which we call the tagged particle. For $d\geq 3$, we show that the tagged particle has positive linear speed and satisfies a central limit theorem. We give an explicit formula for the speed. As a key step in the proof, we first show that the exclusion process “seen from the tagged particle” has an ergodic invariant measure.
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