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Almost-sure central limit theorem for directed polymers and random corrections

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Publication:1374666
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DOI10.1007/s002200050216zbMath0888.60087OpenAlexW1982427062MaRDI QIDQ1374666

Alessandro Pellegrinotti, Robert Adol'fovich Minlos, Carlo Boldrighini

Publication date: 10 December 1997

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050216


zbMATH Keywords

asymptotic expansioncentral limit theoremdirected polymersrandom walk


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Genetics and population dynamics (92D99)


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Random walks in quenched i.i.d. space-time random environment are always a.s. diffusive ⋮ Random walk on nonnegative integers in beta distributed random environment ⋮ A PDE hierarchy for directed polymers in random environments ⋮ A quenched local limit theorem for stochastic flows



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