On the range of pinned random walks

DOI10.2748/tmj/1163775134zbMath1112.60041OpenAlexW1987147370MaRDI QIDQ875703

Yuji Hamana

Publication date: 13 April 2007

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1163775134

zbMATH Keywords

law of large numberslarge deviations

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Large deviations (60F10)

Related Items (4)

Large deviations of the range of the planar random walk on the scale of the mean ⋮ Emergence of interlacements from the finite volume Bose soup ⋮ The mean number of sites visited by a pinned random walk ⋮ Return probabilities on nonunimodular transitive graphs

Cites Work

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• Propriétés d'intersection des marches aléatoires. I: Convergence vers le temps local d'intersection. (Properties of intersection of random walks. I: Convergence to local time intersection)
• Further limit theorems for the range of random walk
• The fluctuation result for the multiple point range of two dimensional recurrent random walks
• On the expected volume of the Wiener sausage for a Brownian bridge
• Large deviations for the range of an integer valued random walk
• An almost sure invariance principle for the range of random walks
• Laws of the iterated logarithm for the range of random walks in two and three dimensions
• Large time volume of the pinned Wiener sausage
• On the range of random walk
• The range of transient random walk
• On the number of distinct sites visited by a random walk
• The range of recurrent random walk in the plane
• The Law of the Iterated Logarithm for the Range of Random Walk
• Asymptotics of the moment generating function for the range of random walks
• A large-deviation result for the range of random walk and for the Wiener sausage

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