Notes on occupation time fluctuations of binary branching particle systems

Yuqiang Li

doi:10.1515/forum-2012-0156

Notes on occupation time fluctuations of binary branching particle systems

Yuqiang Li^*

^*Corresponding author for this work

School of Statistics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1905-1922
Number of pages	18
Journal	Forum Mathematicum
Volume	27
Issue number	4
DOIs	https://doi.org/10.1515/forum-2012-0156
State	Published - 1 Jul 2015

Keywords

Functional limits
branching particle system
occupation time fluctuation

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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.",

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AB - 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.

KW - Functional limits

KW - branching particle system

KW - occupation time fluctuation

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Notes on occupation time fluctuations of binary branching particle systems

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