Random walk in random scenery and self-intersection local times in dimensions \(d \geq 5\)

DOI10.1007/s00440-006-0014-5zbMath1116.60057arXivmath/0509721OpenAlexW2155662047MaRDI QIDQ2369864

Amine Asselah, Fabienne Castell

Publication date: 21 June 2007

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509721

zbMATH Keywords

Random walkModerate deviationsLocal timesRandom scenerySelf-intersection

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Large deviations (60F10) Processes in random environments (60K37) Local time and additive functionals (60J55)

Related Items (19)

Self-intersection local times of random walks: exponential moments in subcritical dimensions ⋮ Empirical processes for recurrent and transient random walks in random scenery ⋮ Annealed upper tails for the energy of a charged polymer ⋮ Large deviations for local times and intersection local times of fractional Brownian motions and Riemann-Liouville processes ⋮ A local limit theorem for random walks in random scenery and on randomly oriented lattices ⋮ Upper limits of Sinai's walk in random scenery ⋮ Chover-type laws of the iterated logarithm for Kesten-Spitzer random walks in random sceneries belonging to the domain of stable attraction ⋮ Self-normalized moderate deviations for random walk in random scenery ⋮ Moderate deviations for a random walk in random scenery ⋮ Quenched tail estimate for the random walk in random scenery and in random layered conductance ⋮ Annealed lower tails for the energy of a charged polymer ⋮ Large deviations estimates for self-intersection local times for simple random walk in \({\mathbb{Z}}^3\) ⋮ Large deviations for intersection local times in critical dimension ⋮ Shape transition under excess self-intersections for transient random walk ⋮ Upper tails of self-intersection local times of random walks: survey of proof techniques ⋮ Self-intersection local times of additive processes: large deviation and law of the iterated logarithm ⋮ Limit laws for the energy of a charged polymer ⋮ Moderate deviations for the self-normalized random walk in random scenery ⋮ Exponential moments of self-intersection local times of stable random walks in subcritical dimensions

Cites Work

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