Self-Similar Markov Processes on Cantor Set
classification
🧮 math.PR
keywords
cantormarkovprocessesself-similaranaloguesasymptoticsbrowniandefine
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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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