Gaussian fluctuations for the directed polymer partition function in dimension \(d\ge 3\) and in the whole \(L^2\)-region

DOI10.1214/20-AIHP1100zbMath1484.60112arXiv1903.00997OpenAlexW3161354155MaRDI QIDQ2041825

Clément Cosco, Shuta Nakajima

Publication date: 23 July 2021

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/1903.00997

zbMATH Keywords

rate of convergencedirected polymersrandom environmentmartingale central limit theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Processes in random environments (60K37)

Related Items

Maximal edge-traversal time in first-passage percolation, Law of large numbers and fluctuations in the sub-critical and \(L^2\) regions for SHE and KPZ equation in dimension \(d \geq 3\), Renormalizing the Kardar-Parisi-Zhang equation in \(d\ge 3\) in weak disorder, Fluctuations of two-dimensional stochastic heat equation and KPZ equation in subcritical regime for general initial conditions, The critical 2d stochastic heat flow, Mesoscopic averaging of the two-dimensional KPZ equation, Unnamed Item, Directed polymers on infinite graphs, Gaussian fluctuations from the 2D KPZ equation, New characterization of the weak disorder phase of directed polymers in bounded random environments, Edwards-Wilkinson fluctuations for the directed polymer in the full \(L^2\)-regime for dimensions \(d\ge 3\)

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