Existence, uniqueness and coalescence of directed planar geodesics: proof via the increment-stationary growth process

DOI10.1214/19-AIHP1016zbMath1454.60146arXiv1812.02689OpenAlexW3037562395MaRDI QIDQ2227465

Timo Seppäläinen

Publication date: 15 February 2021

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.02689

zbMATH Keywords

coalescencegeodesicBusemann functioncocycledirected percolationcorner growth modellast-passage percolationcompetition interface

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37) Coalescent processes (60J90)

Related Items (6)

Joint distribution of Busemann functions in the exactly solvable corner growth model ⋮ Mixing times for the TASEP in the maximal current phase ⋮ The stationary horizon and semi-infinite geodesics in the directed landscape ⋮ Busemann process and semi-infinite geodesics in Brownian last-passage percolation ⋮ Global structure of semi-infinite geodesics and competition interfaces in Brownian last-passage percolation ⋮ Local stationarity in exponential last-passage percolation

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