The invariant measure of PushASEP with a wall and point-to-line last passage percolation

FitzGerald, Will (2021) The invariant measure of PushASEP with a wall and point-to-line last passage percolation. Electronic Journal of Probability, 26. pp. 1-26. ISSN 1083-6489

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Abstract

We consider an interacting particle system on the lattice involving pushing and blocking interactions, called PushASEP, in the presence of a wall at the origin. We show that the invariant measure of this system is equal in distribution to a vector of point-to-line last passage percolation times in a random geometrically distributed environment. The largest co-ordinates in both of these vectors are equal in distribution to the all-time supremum of a non-colliding random walk.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
SWORD Depositor: Mx Elements Account
Depositing User: Mx Elements Account
Date Deposited: 28 Jun 2021 07:26
Last Modified: 28 Jun 2021 07:30
URI: http://sro.sussex.ac.uk/id/eprint/100043

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