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The invariant measure of PushASEP with a wall and point-to-line last passage percolation
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 FitzGeraldWe 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.
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- Published
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- Published version
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Electronic Journal of ProbabilityISSN
1083-6489Publisher
Institute of Mathematical StatisticsExternal DOI
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26Page range
1-26Department affiliated with
- Mathematics Publications
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- Yes
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- Yes
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2021-06-28First Open Access (FOA) Date
2021-06-28First Compliant Deposit (FCD) Date
2021-06-27Usage metrics
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