Rate of convergence for polymers in a weak disorder

DOI10.1016/j.jmaa.2017.05.043zbMath1373.60164arXiv1605.05108OpenAlexW2963722738MaRDI QIDQ2013077

Yanyan Li

Publication date: 3 August 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.05108

zbMATH Keywords

rate of convergencedirected polymersrandom environmentweak disordercentral limit theorem for martingalesstable and mixing convergence

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Statistical mechanics of polymers (82D60) Processes in random environments (60K37)

Related Items

Law of large numbers and fluctuations in the sub-critical and \(L^2\) regions for SHE and KPZ equation in dimension \(d \geq 3\), Fluctuations of the solutions to the KPZ equation in dimensions three and higher, Moments of the 2D SHE at criticality, Fluctuations of two-dimensional stochastic heat equation and KPZ equation in subcritical regime for general initial conditions, Unnamed Item, The Edwards-Wilkinson limit of the random heat equation in dimensions three and higher, 1-stable fluctuations in branching Brownian motion at critical temperature. I: The derivative martingale, Gaussian fluctuations for the directed polymer partition function in dimension \(d\ge 3\) and in the whole \(L^2\)-region, Directed polymers on infinite graphs, Edwards-Wilkinson fluctuations for the directed polymer in the full \(L^2\)-regime for dimensions \(d\ge 3\)

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