Equivalence of renewal sequences and isomorphism of random walks |
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| Authors: | Jon Aaronson Thomas Liggett Pierre Picco |
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| Institution: | (1) Department of Mathematics, Tel Aviv University, Israel;(2) Department of Mathematics, U.C.L.A., U.S.A.;(3) Centre de Physique Theorique, CNRS, Luminy Case 907, 13288 Marseille, France |
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| Abstract: | We show that centred aperiodic random walks on ℤ
d
whose jump random variables are inL
2√log+
L have equivalent renewal sequences. An isomorphism theorem is deduced.
Research was done while the author was visiting the Centre de Physique Theorique, Luminy-Marseille, France.
Research supported by NSF Grant DMS 91-00725. |
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| Keywords: | |
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