• Corpus ID: 14556435

Self-Similar Markov Processes on Cantor Set

@article{Bakhtin2008SelfSimilarMP,
  title={Self-Similar Markov Processes on Cantor Set},
  author={Yuri Bakhtin},
  journal={arXiv: Probability},
  year={2008}
}
  • 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. 
Ultrametric Cantor sets and growth of measure
AbstractA class of ultrametric Cantor sets (C, du) introduced recently (S. Raut and D. P. Datta, Fractals 17, 45–52 (2009)) is shown to enjoy some novel properties. The ultrametric du is defined

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