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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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Official URL: https://doi.org/10.1214/21-ejp661
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 |
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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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