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2019 Limit theorems for the tagged particle in exclusion processes on regular trees
Dayue Chen, Peng Chen, Nina Gantert, Dominik Schmid
Electron. Commun. Probab. 24: 1-10 (2019). DOI: 10.1214/18-ECP205

Abstract

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.

Citation

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Dayue Chen. Peng Chen. Nina Gantert. Dominik Schmid. "Limit theorems for the tagged particle in exclusion processes on regular trees." Electron. Commun. Probab. 24 1 - 10, 2019. https://doi.org/10.1214/18-ECP205

Information

Received: 2 November 2018; Accepted: 19 December 2018; Published: 2019
First available in Project Euclid: 24 January 2019

zbMATH: 1406.60129
MathSciNet: MR3908647
Digital Object Identifier: 10.1214/18-ECP205

Subjects:
Primary: 60K35

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