Self-similar Markov processes on Cantor set

Research output: Contribution to journalArticlepeer-review


We define analogues of Brownian motion on the triadic Cantor set by introducing a few natural requirements on the Markov semigroup. We give a detailed description of these symmetric self-similar processes and study their properties such as mixing and moment asymptotics.
Original languageEnglish (US)
Article number0810.3260
StatePublished - Oct 17 2008


  • math.PR
  • 60G18;60J75;28A80


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