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

This paper gives a self-contained proof of the non-existence of nontrivial bi-infinite geodesics in directed planar last-passage percolation with exponential weights. The techniques used are couplings, coarse graining, and control of geodesics through planarity and estimates derived from increment-...

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Bibliográfalaš dieđut
Váldodahkkit: Márton Balázs, Ofer Busani, Timo Seppäläinen
Materiálatiipa: Artihkal
Giella:English
Almmustuhtton: Cambridge University Press 2020-01-01
Ráidu:Forum of Mathematics, Sigma
Fáttát:
Liŋkkat:https://www.cambridge.org/core/product/identifier/S2050509420000316/type/journal_article