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Notes on occupation time fluctuations of binary branching particle systems

  • Yuqiang Li
Published/Copyright: June 27, 2013

Abstract

In this paper, we study the functional limits of occupation time fluctuations of a kind of site-dependent binary branching particle systems. Our result extends Theorem 2.2 in [Stochastic Process. Appl. 116 (2006), 1–18] and gets some new information on the behaviors of occupation time processes.

MSC: 60F17; 60J80

Funding source: IPSMEC

Award Identifier / Grant number: 13zz037

The author is very thankful to the anonymous referees for their careful reading of the manuscript and detailed comments which have led to significant improvement of the paper.

Received: 2012-10-19
Revised: 2013-4-11
Published Online: 2013-6-27
Published in Print: 2015-7-1

© 2015 by De Gruyter

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  2. Notes on occupation time fluctuations of binary branching particle systems
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