On the structure of stable random walks

DOI10.1007/BF02863421zbMath0802.60063MaRDI QIDQ1331191

Jon. Aaronson

Publication date: 14 August 1994

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

infinite measure preserving transformationsCauchy random walk on the lineGaussian random walk on the plane

Mathematics Subject Classification ID

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

Related Items (2)

Measure preserving transformations similar to Markov shifts ⋮ Measure preserving extensions and minimal wandering rates

Cites Work

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• The intrinsic normalising constants of transformations preserving infinite measures
• Rational ergodicity and a metric invariant for Markov shifts
• Isomorphism of random walks
• Equivalence of renewal sequences and isomorphism of random walks
• A New Approach to the Limit Theory of Recurrent Markov Chains

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