Influence of spatial correlation for directed polymers
From MaRDI portal
Publication:624659
DOI10.1214/10-AOP553zbMath1208.82084arXiv0912.3732MaRDI QIDQ624659
Publication date: 9 February 2011
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.3732
free energyquenched disordercoarse grainingdirected polymerstrong disorderfractional moment estimatessuperdiffusivity
Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37)
Related Items (15)
A remark on the bound for the free energy of directed polymers in random environment in 1+2 dimension ⋮ Localization transition for polymers in Poissonian medium ⋮ The radius of a polymer at a near-critical temperature ⋮ From directed polymers in spatial-correlated environment to stochastic heat equations driven by fractional noise in \(1 + 1\) dimensions ⋮ Superdiffusivity for Brownian motion in a Poissonian potential with long range correlation. I: Lower bound on the volume exponent ⋮ Superdiffusivity for Brownian motion in a Poissonian potential with long range correlation. II: Upper bound on the volume exponent ⋮ Gaussian fluctuations of replica overlap in directed polymers ⋮ A landscape of peaks: the intermittency islands of the stochastic heat equation with Lévy noise ⋮ The stochastic heat equation with multiplicative Lévy noise: existence, moments, and intermittency ⋮ Scaling limits of directed polymers in spatial-correlated environment ⋮ On the long-range directed polymer model ⋮ Localization of directed polymers with general reference walk ⋮ Superdiffusivity for directed polymer in corelated random environment ⋮ Directed polymer in \(\gamma\)-stable random environments ⋮ Phase transitions for spatially extended pinning
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New bounds for the free energy of directed polymers in dimension \(1+1\) and \(1+2\)
- Stein's Lemma, Malliavin calculus, and tail bounds, with application to polymer fluctuation exponent
- Directed polymers in random environment are diffusive at weak disorder
- A replica-coupling approach to disordered pinning models
- Superdiffusivity for a Brownian polymer in a continuous Gaussian environment
- Continuous model for homopolymers
- Directed polymers in a random environment: Some results on fluctuations
- Directed polymers in a random environment: Path localization and strong disorder
- Upper bound of a volume exponent for directed polymers in a random environment
- Transversal fluctuations for increasing subsequences on the plane
- On the Brownian-directed polymer in a Gaussian random environment
- A note on the diffusion of directed polymers in a random environment
- On the partition function of a directed polymer in a Gaussian random environment
- Divergence of shape fluctuations in two dimensions
- Hierarchical pinning models, quadratic maps and quenched disorder
- Superdiffusivity in first-passage percolation
- Brownian directed polymers in random environment
- Random polymers
This page was built for publication: Influence of spatial correlation for directed polymers
