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2020 The speed of the tagged particle in the exclusion process on Galton–Watson trees
Nina Gantert, Dominik Schmid
Electron. J. Probab. 25: 1-27 (2020). DOI: 10.1214/20-EJP477

Abstract

We study two different versions of the simple exclusion process on augmented Galton–Watson trees, the constant speed model and the variable speed model. In both cases, the simple exclusion process starts from an equilibrium distribution with non-vanishing particle density. Moreover, we assume to have initially a particle in the root, the tagged particle. We show for both models that the tagged particle has a positive linear speed and we give explicit formulas for the speeds.

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Nina Gantert. Dominik Schmid. "The speed of the tagged particle in the exclusion process on Galton–Watson trees." Electron. J. Probab. 25 1 - 27, 2020. https://doi.org/10.1214/20-EJP477

Information

Received: 12 March 2019; Accepted: 8 June 2020; Published: 2020
First available in Project Euclid: 1 July 2020

zbMATH: 07225525
MathSciNet: MR4119117
Digital Object Identifier: 10.1214/20-EJP477

Subjects:
Primary: 60K35, 60K37

JOURNAL ARTICLE
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