The invariant measure of PushASEP with a wall and point-to-line last passage percolation
| Autor: | Will FitzGerald |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
60K35
60C05 60J45 Statistics and Probability Interacting particle systems Distribution (number theory) Interacting particle system Probability (math.PR) Mathematical analysis Random walk Non-colliding random walks Infimum and supremum Lattice (module) Symplectic Schur functions Percolation Line (geometry) FOS: Mathematics Point-to-line last passage percolation Invariant measure Statistics Probability and Uncertainty Mathematics - Probability Mathematics |
| Zdroj: | Fitzgerald, W 2021, ' The invariant measure of PushASEP with a wall and point-to-line last passage percolation ', Electronic Journal of Probability, vol. 26, 92 . https://doi.org/10.1214/21-EJP661 |
| ISSN: | 1083-6489 |
| DOI: | 10.1214/21-EJP661 |
| Popis: | 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. 25 pages. Minor typos corrected |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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