On the Hitting Probability and Polarity for a Class of Self-similar Markov Processes

数学物理学报(英文版) ›› 1999, Vol. 19 ›› Issue (2): 226-233.

On the Hitting Probability and Polarity for a Class of Self-similar Markov Processes

熊双平, 刘禄勤

Shanghai Normal University,Shanghai 201418,China School of Mathematical Sciences,Wuhan University,Wuhan 430072,China

收稿日期:1996-07-09 出版日期:1999-06-03 发布日期:1999-06-03
基金资助:
Suppported by the National Natural Science Foundation of China and the State Education of Commission Ph.D. Station Foundation

On the Hitting Probability and Polarity for a Class of Self-similar Markov Processes

XIONG Shuang-Beng, LIU Lu-Qi

Shanghai Normal University,Shanghai 201418,China School of Mathematical Sciences,Wuhan University,Wuhan 430072,China

Received:1996-07-09 Online:1999-06-03 Published:1999-06-03
Supported by:
Suppported by the National Natural Science Foundation of China and the State Education of Commission Ph.D. Station Foundation

摘要/Abstract

摘要：

The author investigate the hitting probility,polarity and the relationship between the polarity and Hausdorff dimension for self-similar Markov process with state space(0,∞) and increasing path.

Abstract:

The author investigate the hitting probility,polarity and the relationship between the polarity and Hausdorff dimension for self-similar Markov process with state space(0,∞) and increasing path.

Key words: Self-similar Markov process, hitting probility, polar set, essential polar set, Hausdorff dimension

中图分类号:

60J25

熊双平, 刘禄勤. On the Hitting Probability and Polarity for a Class of Self-similar Markov Processes[J]. 数学物理学报(英文版), 1999, 19(2): 226-233.

XIONG Shuang-Beng, LIU Lu-Qi. On the Hitting Probability and Polarity for a Class of Self-similar Markov Processes[J]. Acta mathematica scientia,Series B, 1999, 19(2): 226-233.

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On the Hitting Probability and Polarity for a Class of Self-similar Markov Processes

On the Hitting Probability and Polarity for a Class of Self-similar Markov Processes

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