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arXiv · 1903.05019

The speed of the tagged particle in the exclusion process on Galton-Watson trees

Nina Gantert·Dominik Schmid
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Abstract

We study two different versions of the simple exclusion process on augmented Galton-Watson trees, the constant speed model and the varying 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. 2019-03-12. The speed of the tagged particle in the exclusion process on Galton-Watson trees. https://doi.org/10.1214/20-ejp477

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