Non-existence of bi-infinite geodesics in the exponential corner growth model

DOI10.1017/fms.2020.31zbMath1456.60248arXiv1909.06883OpenAlexW3040856335WikidataQ115563684 ScholiaQ115563684MaRDI QIDQ5135416

Ofer Busani, Márton Balázs, Timo Seppäläinen

Publication date: 20 November 2020

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.06883

zbMATH Keywords

queuesgeodesicdirected percolationcorner growth modellast-passage percolationrandom growth modelbi-infinite

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Processes in random environments (60K37)

Related Items (13)

Optimal exponent for coalescence of finite geodesics in exponential last passage percolation ⋮ Mixing times for the TASEP in the maximal current phase ⋮ The stationary horizon and semi-infinite geodesics in the directed landscape ⋮ Local and global comparisons of the Airy difference profile to Brownian local time ⋮ Busemann process and semi-infinite geodesics in Brownian last-passage percolation ⋮ Optimal-order exit point bounds in exponential last-passage percolation via the coupling technique ⋮ Global structure of semi-infinite geodesics and competition interfaces in Brownian last-passage percolation ⋮ Geometry of geodesics through Busemann measures in directed last-passage percolation ⋮ Geodesics, bigeodesics, and coalescence in first passage percolation in general dimension ⋮ Uniform fluctuation and wandering bounds in first passage percolation ⋮ Nonexistence of bigeodesics in planar exponential last passage percolation ⋮ Non-existence of bi-infinite polymers ⋮ Absence of backward infinite paths for first-passage percolation in arbitrary dimension

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