Almost sure exponential behavior of a directed polymer in a fractional Brownian environment
type: Item
instance of: scholarly article
title: Almost sure exponential behavior of a directed polymer in a fractional Brownian environment
zbMATH Open document ID: 1152.82028
author: Tao Zhang
author: Frederi Viens
published in: Journal of Functional Analysis
publication date: 2008-12-22T00:00:00Z
Mathematics Subject Classification ID: 82D60
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 82C41
zbMATH DE Number: 5480712
zbMATH Keywords: polymer
zbMATH Keywords: random media
zbMATH Keywords: Lyapunov exponent
zbMATH Keywords: Malliavin derivative
zbMATH Keywords: partition function
zbMATH Keywords: fractional Brownian motion
zbMATH Keywords: Gaussian field
zbMATH Keywords: long memory
zbMATH Keywords: Anderson model
MaRDI profile type: Publication
full work available at URL: j.jfa.2008.06.020
OpenAlex ID: W1978329101
cites work: Q4001807
cites work: A martingale approach to directed polymers in a random environment
cites work: Stochastic calculus with respect to fractional Brownian motion with Hurst parameter lesser than 1/2
cites work: Stochastic calculus with respect to Gaussian processes
cites work: Superdiffusivity for a Brownian polymer in a continuous Gaussian environment
cites work: A note on the diffusion of directed polymers in a random environment
cites work: Sharp asymptotics for the partition function of some continuous-time directed polymers
cites work: On the partition function of a directed polymer in a Gaussian random environment
cites work: Stationary parabolic Anderson model and intermittency
cites work: Almost-sure exponential behavior of a stochastic anderson model with continuous space parameter
cites work: Brownian directed polymers in random environment
cites work: Sur la convergence en moyenne des suites presque sous-additives. (Mean convergence of almost subadditive sequences)
cites work: Sharp estimation of the almost-sure Lyapunov exponent for the Anderson model in continuous space
cites work: Upper bound of a volume exponent for directed polymers in a random environment
cites work: Skorohod integration and stochastic calculus beyond the fractional Brownian scale
cites work: Ideas in the theory of random media
cites work: Q4842684
cites work: Q4811448
cites work: On the Brownian-directed polymer in a Gaussian random environment
cites work: Relating the almost-sure Lyapunov exponent of a parabolic SPDE and its coefficients' spatial regularity
DOI: 10.1016/J.JFA.2008.06.020
description: scientific article; zbMATH DE number 5480712