Self-Similar Markov Processes on Cantor Set

Details Self-Similar Markov Processes on Cantor Set Self-Similar Markov Processes on Cantor Set

2008-10-17

arxiv.org/abs/0810.3260v2

Mathematics

Probability

16 pages

Scientific paper

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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