Localization of a two-dimensional random walk with an attractive path interaction

From MaRDI portal
Publication:1336570

DOI10.1214/aop/1176988734zbMath0819.60028OpenAlexW2076982494MaRDI QIDQ1336570

Erwin Bolthausen

Publication date: 21 August 1995

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

Full work available at URL: https://doi.org/10.1214/aop/1176988734




Related Items (24)

On self-attracting \(d\)-dimensional random walksThe diffusive phase of a model of self-interacting walksOn the confinement property of two‐dimensional Brownian motion among poissonian obstaclesLocalization for random walks among random obstacles in a single Euclidean ballCritical large deviations of one-dimensional annealed Brownian motion in a Poissonian potentialAnnealed Brownian motion in a heavy tailed Poissonian potentialAttractive polymer models for two- and three-dimensional Brownian motionGeometry of the random walk range conditioned on survival among Bernoulli obstaclesBiased random walk conditioned on survival among Bernoulli obstacles: subcritical phaseOne-dimensional polymers in random environments: stretching vs. foldingA scaling limit of the parabolic Anderson model with exclusion interactionDistribution of the random walk conditioned on survival among quenched Bernoulli obstaclesRandom Walk Among Mobile/Immobile Traps: A Short ReviewEigenvalue versus perimeter in a shape theorem for self-interacting random walksThe statistical mechanics of stretched polymersThe two regimes of moderate deviations for the range of a transient walkPotential confinement property of the parabolic Anderson modelCondensation of a self-attracting random walkThe random walk penalised by its range in dimensions \(d\geqslant 3\)Poly-logarithmic localization for random walks among random obstaclesBrownian Survival in a Clusterized Trapping MediumFree energy and some sample path properties of a random walk with random potential.Non-directed polymers in heavy-tail random environment in dimension \(d\geq 2\)Localization of two dimensional quantum walks defined by generalized Grover coins




This page was built for publication: Localization of a two-dimensional random walk with an attractive path interaction