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ON THE HITTING PROBABILITY AND POLARITY FOR A CLASS OF SELF-SIMILAR MARKOV PROCESSES
Authors:Liu Luqin
Institution:Shanghai Normal University, Shanghai 201418, China;School of Mathematical Sciences, Wuhan University, Wuhan 430072, China
Abstract:The authors investigate the hitting probability, polarity and the relationship between the polarity and Hausdorff dimension for self-similar Markov processes with state space (0, ∞) and increasing path.
Keywords:Self-similar Markov process  hitting probability  polar set  essential  polar set  Hausdorff dimension  
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