An embedding for the Kesten-Spitzer random walk in random scenery

DOI10.1016/S0304-4149(99)00036-8zbMath0997.60079arXivmath/9812165OpenAlexW2078587141MaRDI QIDQ1613617

Endre Csáki, Zhan Shi, Wolfgang König

Publication date: 29 August 2002

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

Full work available at URL: https://arxiv.org/abs/math/9812165

zbMATH Keywords

local timestrong approximationBrownian motion in Brownian sceneryrandom walk in random scenery

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Brownian motion (60J65) Local time and additive functionals (60J55)

Related Items (15)

Strong approximation of spatial random walk in random scenery. ⋮ A strong invariance principle for two-dimensional random walk in random scenery. ⋮ Spatial asymptotics for the parabolic Anderson models with generalized time-space Gaussian noise ⋮ Moderate deviations and laws of the iterated logarithm for the local times of additive Lévy processes and additive random walks ⋮ Empirical processes for recurrent and transient random walks in random scenery ⋮ A local limit theorem for random walks in random scenery and on randomly oriented lattices ⋮ Chover-type laws of the iterated logarithm for Kesten-Spitzer random walks in random sceneries belonging to the domain of stable attraction ⋮ Corner percolation on \(\mathbb Z^{2}\) and the square root of 17 ⋮ Strong laws of large numbers for random walks in random sceneries ⋮ Quenched tail estimate for the random walk in random scenery and in random layered conductance ⋮ On some functional of the hybrid process in random scenery ⋮ The strong approximation for the Kesten-Spitzer random walk ⋮ Self-intersection local times of additive processes: large deviation and law of the iterated logarithm ⋮ Some limsup results for increments of stable processes in random scenery ⋮ Strong approximation for the general Kesten-Spitzer random walk in independent random scenery

Cites Work

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• On the coverage of Strassen-type sets by sequences of Wiener processes
• Tauberian theorems of exponential type
• A law of the iterated logarithm for stable processes in random scenery
• The local time of iterated Brownian motion
• A property of Brownian motion paths
• Asymptotics for the polaron
• The free energy of the dirac polaron, an explicit solution
• A limit theorem related to a new class of self similar processes

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