Equivalence of renewal sequences and isomorphism of random walks

Jon Aaronson; Thomas Liggett; Pierre Picco

doi:10.1007/BF02772983

Equivalence of renewal sequences and isomorphism of random walks

Jon Aaronson, Thomas Liggett, Pierre Picco

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We show that centred aperiodic random walks on ℤ^d whose jump random variables are in L²√log⁺ L have equivalent renewal sequences. An isomorphism theorem is deduced.

Original language	English
Pages (from-to)	65-76
Number of pages	12
Journal	Israel Journal of Mathematics
Volume	87
Issue number	1-3
DOIs	https://doi.org/10.1007/BF02772983
State	Published - Feb 1994

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title = "Equivalence of renewal sequences and isomorphism of random walks",

abstract = "We show that centred aperiodic random walks on ℤ d whose jump random variables are in L 2√log+ L have equivalent renewal sequences. An isomorphism theorem is deduced.",

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Equivalence of renewal sequences and isomorphism of random walks

Abstract

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