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

Acta mathematica scientia,Series B ›› 1999, Vol. 19 ›› Issue (2): 226-233.

• Articles • Previous Articles Next Articles

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

Abstract

CLC Number:

60J25

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.

[1]	Zhenliang ZHANG, Chunyun CAO. ON POINTS CONTAIN ARITHMETIC PROGRESSIONS IN THEIR LÜROTH EXPANSION [J]. Acta mathematica scientia,Series B, 2016, 36(1): 257-264.
[2]	CHEN Zhen-Long. ON INTERSECTIONS OF INDEPENDENT NONDEGENERATE DIFFUSION PROCESSES [J]. Acta mathematica scientia,Series B, 2014, 34(1): 141-161.
[3]	HU Dong-Gang, HU Xue-Hai. ARBITRARILY LONG ARITHMETIC PROGRESSIONS FOR CONTINUED FRACTIONS OF LAURENT SERIES [J]. Acta mathematica scientia,Series B, 2013, 33(4): 943-949.
[4]	CHEN Zhen-Long. FRACTAL PROPERTIES OF POLAR SETS OF RANDOM STRING PROCESSES [J]. Acta mathematica scientia,Series B, 2011, 31(3): 969-992.
[5]	CHEN Zhen-Long, LI Hui-Qiong. POLAR SETS OF MULTIPARAMETER BIFRACTIONAL BROWNIAN SHEETS [J]. Acta mathematica scientia,Series B, 2010, 30(3): 857-872.
[6]	Chen Zhenlong. INTERSECTIONS AND POLAR FUNCTIONS OF FRACTIONAL BROWNIAN SHEETS [J]. Acta mathematica scientia,Series B, 2008, 28(4): 779-796.
[7]	Gao Junyang; Qiao Jianyong. CONTINUITY AND HAUSDORFF DIMENSION OF JULIA SET CONCERNING YANG-LEE ZEROS [J]. Acta mathematica scientia,Series B, 2008, 28(3): 530-536.
[8]	Hu Dihe; Zhang Xiaomin. THE DIMENSION FOR RANDOM SUB-SELF-SIMILAR SET [J]. Acta mathematica scientia,Series B, 2007, 27(3): 561-573.
[9]	Hu Dihe; Zhang Xiaomin. THE RANDOM SHIFT SET AND RANDOM SUB-SELF-SIMILAR SET [J]. Acta mathematica scientia,Series B, 2007, 27(2): 267-273.
[10]	Zhang Xiaomin; Hu Dihe. THE DIMENSIONS OF THE RANGE OF RANDOM WALKS IN TIME-RANDOM ENVIRONMENTS [J]. Acta mathematica scientia,Series B, 2006, 26(4): 615-628.
[11]	XU Jing-Hu, DING Li-Xin. HAUSDORFF DIMENSION OF GENERALIZED STATISTICALLY SELF-AFFINE FRACTALS [J]. Acta mathematica scientia,Series B, 2004, 24(3): 421-433.
[12]	ZHANG Xiao-Qun, LIU Pan-Yan. THE REGULARITY OF RANDOM GRAPH DIRECTED SELF-SIMILAR SETS [J]. Acta mathematica scientia,Series B, 2004, 24(3): 485-492.
[13]	CHEN Zhen-Long, LIU San-Yang. DIMENSION OF POLAR SETS FOR BROWNIAN SHEET [J]. Acta mathematica scientia,Series B, 2003, 23(4): 549-.
[14]	HAO Bai-Lin, LIN Guo-An. A REMARK ON THE ATTRACTORS OF NON-NEWTONIAN FLUIDS [J]. Acta mathematica scientia,Series B, 2003, 23(3): 316-.
[15]	Wang Yongjin. SOME CHARACTERS OF A CLASS OF ORNSTEIN-UHLENBECK TYPE MARKOV PROCESSES WITH STABLE PROCESSES [J]. Acta mathematica scientia,Series B, 1997, 17(2): 121-128.

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

PDF (PC)

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10