Crossing random walks and stretched polymers at weak disorder

DOI10.1214/10-AOP625zbMath1251.60074arXiv1002.4289OpenAlexW1980167280MaRDI QIDQ414285

Yvan Velenik, Dimitry Ioffe

Publication date: 11 May 2012

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.4289

zbMATH Keywords

polymercentral limit theoremdiffusivityOrnstein-Zernike theoryquenched random environment

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

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Localization transition for polymers in Poissonian medium ⋮ Crossing speeds of random walks among ``sparse or ``spiky Bernoulli potentials on integers ⋮ Strong disorder in semidirected random polymers ⋮ Lyapunov exponents of random walks in small random potential: the lower bound ⋮ Superdiffusivity for Brownian motion in a Poissonian potential with long range correlation. I: Lower bound on the volume exponent ⋮ Crossing velocities for an annealed random walk in a random potential ⋮ Asymptotics of even-even correlations in the Ising model ⋮ Semidirected random polymers: Strong disorder and localization ⋮ Beyond Hammersley's last-passage percolation: a discussion on possible local and global constraints ⋮ Multidimensional Random Polymers: A Renewal Approach

Cites Work

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• Directional decay of the Green's function for a random nonnegative potential on \(\mathbb{Z}^d\)
• A note on the diffusion of directed polymers in a random environment
• Analysis and Stochastics of Growth Processes and Interface Models
• Finite connections for supercritical Bernoulli bond percolation in 2D
• A remark concerning random walks with random potentials

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