Tails of the endpoint distribution of directed polymers

DOI10.1214/12-AIHP525zbMath1314.60159arXiv1203.2907OpenAlexW2155529383MaRDI QIDQ2261589

Daniel Remenik, Jeremy Quastel

Publication date: 9 March 2015

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/1203.2907

zbMATH Keywords

Kardar-Parisi-Zhang universality classdirected random polymersendpoint distribution

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

Related Items (12)

Airy Processes and Variational Problems ⋮ Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density ⋮ The endpoint distribution of directed polymers ⋮ Endpoint distribution of directed polymers in \(1 + 1\) dimensions ⋮ Exceptional times when the KPZ fixed point violates Johansson's conjecture on maximizer uniqueness ⋮ Reunion probability of \(N\) vicious walkers: typical and large fluctuations for large \(N\) ⋮ Evidence for geometry-dependent universal fluctuations of the Kardar-Parisi-Zhang interfaces in liquid-crystal turbulence ⋮ TASEP on a ring in sub-relaxation time scale ⋮ Extremes of \(N\) vicious walkers for large \(N\): application to the directed polymer and KPZ interfaces ⋮ Multiplicative functionals on ensembles of non-intersecting paths ⋮ Tracy-Widom distribution, Airy\(_2\) process and its sample path properties ⋮ Painlevé II in random matrix theory and related fields

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