Quenched limits for transient, ballistic, sub-Gaussian one-dimensional random walk in random environment

DOI10.1214/08-AIHP149zbMath1178.60071arXiv0708.0649MaRDI QIDQ731729

Jonathon Peterson

Publication date: 8 October 2009

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.0649

zbMATH Keywords

random environmentrandom walk

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Processes in random environments (60K37) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items (9)

Weak quenched limiting distributions for transient one-dimensional random walk in a random environment ⋮ Current fluctuations of a system of one-dimensional random walks in random environment ⋮ Weak quenched limit theorems for a random walk in a sparse random environment ⋮ Hydrodynamic limit for a system of independent, sub-ballistic random walks in a common random environment ⋮ Quenched limits for the fluctuations of transient random walks in random environment on \(\mathbb{Z}\) ⋮ Quenched limit theorems for nearest neighbour random walks in 1D random environment ⋮ Quenched central limit theorem rates of convergence for one-dimensional random walks in random environments ⋮ Erratic behavior for 1-dimensional random walks in a Liouville quasi-periodic environment ⋮ Biased random walks on random graphs

Cites Work

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• Generalized Poisson distributions as limits of sums for arrays of dependent random vectors
• Simple transient random walks in one-dimensional random environment: the central limit theorem
• Extreme Values in the GI/G/1 Queue
• Random walks in a random environment

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