• Corpus ID: 14556435

Self-Similar Markov Processes on Cantor Set

  title={Self-Similar Markov Processes on Cantor Set},
  author={Yuri Bakhtin},
  journal={arXiv: Probability},
  • Yuri Bakhtin
  • Published 17 October 2008
  • Mathematics
  • arXiv: Probability
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. 
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Submitted to Journal of Noncommutative Geometry
  • Also available at http://arxiv.org/abs/0802.1336v1,
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