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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Multiple points of transient random walks


Author: Joel H. Pitt
Journal: Proc. Amer. Math. Soc. 43 (1974), 195-199
MSC: Primary 60J15
DOI: https://doi.org/10.1090/S0002-9939-1974-0386021-0
MathSciNet review: 0386021
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Abstract: We determine the asymptotic behavior of the expected numbers of points visited exactly $ j$ times and at least $ j$ times in the first $ n$ steps of a transient random walk on a discrete Abelian group. We prove that the strong law of large numbers holds for these multiple point ranges.


References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/S0002-9939-1974-0386021-0
Keywords: Range of random walk, strong law of large numbers, ergodic theorem
Article copyright: © Copyright 1974 American Mathematical Society