ERGODIC THEOREMS FOR LINEAR GROWTH PROCESSES WITH DIFFUSION

Citation:

Ding Wanding,Zheng Xiaogu.ERGODIC THEOREMS FOR LINEAR GROWTH PROCESSES WITH DIFFUSION[J].Chinese Annals of Mathematics B,1989,10(3):386~402
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Authors:

Ding Wanding; Zheng Xiaogu

Foundation:

This paper is partially supported by the National Natural Science Foundation of China.
Abstract: In this papers simple class of the infinite dimensional reaction-diffusion processes the linear growth processes with diffusion is studied. This paper is devoted to the ergodicity of these processes. The exact value of parameters at which the change of phase occurs is given, the set of all translation invariant invariant measures and the corresponding domain of attraction for each translation invariant invariant measure are described.

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