OCCUPATION TIME PROCESSES OF FLEMING-VIOT PROCESSES

Citation:

Zhao Xuelei.OCCUPATION TIME PROCESSES OF FLEMING-VIOT PROCESSES[J].Chinese Annals of Mathematics B,1995,16(1):51~62
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Authors:

Zhao Xuelei;
Abstract: Suppose that $X_t$ is the Fleming-Viot process associated with fractional power Laplacian operator $-(-\delta )^ \alpha /2,0< \alpha \leq 2$,and $Y_t=\int _0 ^t X_s ds$ is the so-called occupation time process. In this paper, the asyihptotic behavior at a large time and the absolute continuity of $Y_t$ are investigated.

Keywords:

Fleming-Viot superprocess, Occupation time process, Asymptotic behavior, Absolute continuity.

Classification:

60G57,60K35.
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