Moments of partition functions of 2D Gaussian polymers in the weak disorder regime. II
type: Item
instance of: scholarly article
title: Moments of partition functions of 2D Gaussian polymers in the weak disorder regime. II
author: Clément Cosco
author: Ofer Zeitouni
published in: Electronic Journal of Probability
publication date: 2024-08-30T00:00:00Z
review text: In this paper, the authors investigate the moments of partition functions of 2D Gaussian polymers in the weak disorder regime. They establish a lower bound for these moments that aligns with the leading order. It is worth noting that the upper bound was previously derived by the same authors in [Commun. Math. Phys. 403, No. 1, 417--450 (2023; Zbl 1525.60081)].
reviewed by: U. A. Rozikov
Mathematics Subject Classification ID: 82B44
Mathematics Subject Classification ID: 82B41
Mathematics Subject Classification ID: 82D60
Mathematics Subject Classification ID: 60G50
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60K37
zbMATH DE Number: 7904058
zbMATH Keywords: high moments of partition functions
zbMATH Keywords: maxima of log-correlated fields
zbMATH Keywords: planar random walk intersections
zbMATH Keywords: two-dimensional subcritical directed polymer
MaRDI profile type: Publication
cites work: Two moments suffice for Poisson approximations: The Chen-Stein method
cites work: Universality in marginally relevant disordered systems
cites work: The critical 2d stochastic heat flow is not a Gaussian multiplicative chaos
cites work: Moments of partition functions of 2d Gaussian polymers in the weak disorder regime-I
cites work: Random Walk: A Modern Introduction
cites work: Propriétés d'intersection des marches aléatoires. I: Convergence vers le temps local d'intersection. (Properties of intersection of random walks. I: Convergence to local time intersection)
cites work: A multivariate extension of the Erdős-Taylor theorem
cites work: Moments of the 2D directed polymer in the subcritical regime and a generalisation of the Erdös-Taylor theorem
cites work: On first hitting times of some recurrent two-dimensional random walks
cites work: Some Theorems Concerning 2-Dimensional Brownian Motion
cites work: Multidimensional version of the results of Komlos, Major and Tusnady for vectors with finite exponential moments
DOI: 10.1214/24-EJP1148
description: scientific article; zbMATH DE number 7904058