Further limit theorems for the range of random walk

DOI10.1007/BF02788644zbMath0293.60063MaRDI QIDQ1212309

Naresh C. Jain, William E. Pruitt

Publication date: 1974

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50)

Related Items (15)

Laws of the iterated logarithm for the range of random walks in two and three dimensions ⋮ 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) ⋮ Range-renewal processes: SLLNs and power laws ⋮ Statistical properties of sites visited by independent random walks ⋮ The fluctuation result for the multiple point range of two dimensional recurrent random walks ⋮ Moderate and small deviations for the ranges of one-dimensional random walks ⋮ On the range of pinned random walks ⋮ Asymptotic entropy of the ranges of random walks on discrete groups ⋮ Invariance principle for the capacity and the cardinality of the range of stable random walks ⋮ Functional CLT for the range of stable random walks ⋮ Limit laws for the energy of a charged polymer ⋮ Some results for range of random walk on graph with spectral dimension two ⋮ An almost sure invariance principle for the range of random walks ⋮ Revisits for transient random walk ⋮ Random walks on lattices with randomly distributed traps. I: The average number of steps until trapping

Cites Work

• On the range of random walk
• The range of transient random walk
• The range of recurrent random walk in the plane
• The Law of the Iterated Logarithm for the Range of Random Walk
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