EXIT DISTRIBUTION LEAVING A BALL FROM THE CENTER AND BROWNIAN MOTION

Citation:

ZHANG Huizeng,JIN Mengwei,YING Jiangang.EXIT DISTRIBUTION LEAVING A BALL FROM THE CENTER AND BROWNIAN MOTION[J].Chinese Annals of Mathematics B,2004,25(3):393~400
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Authors:

ZHANG Huizeng; JIN Mengwei;YING Jiangang

Foundation:

Project supported by the National Natural Science Foundation of China (No.10271109).
Abstract: It is showed that if the first exit distribution leaving any ball from the center is the uniform distribution on the sphere, then the Levy process is a scaled Brownian motion. The paper also gives a characterization of a continuous Hunt process by the first exit distribution from any ball.

Keywords:

First exit hitting distribution, Brownian motion, Levy process

Classification:

60G17, 60J65
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