Scaling exponents of random walks in random sceneries.

DOI10.1016/S0304-4149(02)00091-1zbMath1058.60094MaRDI QIDQ1766022

Didier Piau

Publication date: 25 February 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

self-similar processesGalton-Watson treesrandom walks in random environmentrandom walks in random scenery

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Processes in random environments (60K37) Self-similar stochastic processes (60G18) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (1)

Further scaling exponents of random walks in random sceneries

Cites Work

• A theorem of Pitman type for simple random walks on \(Z^ d\)
• Subdiffusive behavior of random walk on a random cluster
• Mixing properties for random walk in random scenery
• A long-time tail for random walk in random scenery
• A central limit theorem for two-dimensional random walks in random sceneries
• Functionals of critical multitype branching processes
• A strong invariance principle for two-dimensional random walk in random scenery.
• Probability on Trees and Networks
• A limit theorem related to a new class of self similar processes

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