The self-similar dynamics of renewal processes

DOI10.1214/EJP.v16-888zbMath1225.60143OpenAlexW2033919136MaRDI QIDQ638415

Marina Talet, Albert Meads Fisher

Publication date: 9 September 2011

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/EJP-ECP/_ejpecp/viewarticle7a3a.html

zbMATH Keywords

renewal processstable processCauchy processalmost-sure invariance principle in log densitypathwise central limit theoremMittag-Leffler process

Mathematics Subject Classification ID

Dynamical systems and their relations with probability theory and stochastic processes (37A50) Self-similar stochastic processes (60G18) Stable stochastic processes (60G52) Functional limit theorems; invariance principles (60F17) Renewal theory (60K05)

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