Open Access
April, 2000 Transience conditions for self-similar additive processes
Kouji YAMAMURO
J. Math. Soc. Japan 52(2): 343-362 (April, 2000). DOI: 10.2969/jmsj/05220343

Abstract

The class of self-similar additive processes is an important subclass of stochastically continuous processes with independent increments which are not assumed to be time-homogeneous. It is shown that this process is transient if it is proper and the dimension is three or more. Furthermore sufficient conditions for transience are given in one- or two-dimensional cases.

Citation

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Kouji YAMAMURO. "Transience conditions for self-similar additive processes." J. Math. Soc. Japan 52 (2) 343 - 362, April, 2000. https://doi.org/10.2969/jmsj/05220343

Information

Published: April, 2000
First available in Project Euclid: 10 June 2008

zbMATH: 0963.60033
MathSciNet: MR1742799
Digital Object Identifier: 10.2969/jmsj/05220343

Subjects:
Primary: 60J30

Keywords: recurrence , self-similarity , transience

Rights: Copyright © 2000 Mathematical Society of Japan

Vol.52 • No. 2 • April, 2000
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