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Ergodic theory and a local occupation time for measure-valued critical branching brownian motion

 

作者: I. Iscoe,  

 

期刊: Stochastics  （Taylor Available online 1986）
卷期: Volume 18, issue 3-4  

页码: 197-243

 

ISSN:0090-9491

 

年代: 1986

 

DOI:10.1080/17442508608833409

 

出版商: Gordon and Breach Science Publishers, Inc

 

关键词: Measure-valued branching diffusion;ergodicity;local time

 

数据来源: Taylor

 

摘要:

Let (Xt)t>=0 denote the measure-valued critical branching Brownian motion on Rdwith initial state being Lebesgue measure. A strong ergodic theorem is proved for (Xt)t>=0when d>=3, while a weak ergodic theorem is proved for d = 2. Also a weak local occupation time (an analogue of the local time for Brownian motion) is shown to exist in dimensions d=1,2 and 3.

 

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