Large deviations estimates for self-intersection local times for simple random walk in \({\mathbb{Z}}^3\)

DOI10.1007/s00440-007-0078-xzbMath1135.60340arXivmath/0602074OpenAlexW2019275612MaRDI QIDQ2480821

Amine Asselah

Publication date: 3 April 2008

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

Full work available at URL: https://arxiv.org/abs/math/0602074

zbMATH Keywords

Random walkRandom sceneriesSelf-intersection local times

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items

Random walk in random scenery and self-intersection local times in dimensions \(d \geq 5\) ⋮ Self-intersection local times of random walks: exponential moments in subcritical dimensions ⋮ Annealed upper tails for the energy of a charged polymer ⋮ Self-normalized moderate deviations for random walk in random scenery ⋮ Annealed lower tails for the energy of a charged polymer ⋮ 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 ⋮ Limit laws for the energy of a charged polymer ⋮ Moderate deviations for the self-normalized random walk in random scenery

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