University of Sussex
Browse
21-EJP661.pdf (325.96 kB)

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

Download (325.96 kB)
Version 2 2023-06-12, 09:53
Version 1 2023-06-10, 00:06
journal contribution
posted on 2023-06-12, 09:53 authored by William FitzGerald
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.

History

Publication status

  • Published

File Version

  • Published version

Journal

Electronic Journal of Probability

ISSN

1083-6489

Publisher

Institute of Mathematical Statistics

Volume

26

Page range

1-26

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2021-06-28

First Open Access (FOA) Date

2021-06-28

First Compliant Deposit (FCD) Date

2021-06-27

Usage metrics

    University of Sussex (Publications)

    Categories

    No categories selected

    Licence

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC