Moments and distribution of the local times of a transient random walk on \(\mathbb Z^{d}\)

DOI10.1007/s10959-008-0168-4zbMath1175.60043arXiv0708.4408OpenAlexW2067928050MaRDI QIDQ1028619

Wolfgang König, Mathias Becker

Publication date: 6 July 2009

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.4408

zbMATH Keywords

local timerandom walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Local time and additive functionals (60J55)

Related Items (8)

The quenched limiting distributions of a charged-polymer model ⋮ Self-intersection local times of random walks: exponential moments in subcritical dimensions ⋮ Strong law of large numbers for a function of the local times of a transient random walk in \({\mathbb{Z}}^d\) ⋮ Self-normalized moderate deviations for random walk in random scenery ⋮ Optimal bounds for the variance of self-intersection local times ⋮ Annealed lower tails for the energy of a charged polymer ⋮ Shape transition under excess self-intersections for transient random walk ⋮ Upper tails of self-intersection local times of random walks: survey of proof techniques

Cites Work

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• Moments and distribution of the local time of a two-dimensional random walk
• A central limit theorem for two-dimensional random walks in random sceneries
• The diffusive phase of a model of self-interacting walks
• The range of transient random walk
• Some problems concerning the structure of random walk paths
• Multiple Points of Transient Random Walks
• A limit theorem related to a new class of self similar processes

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