| LARGE DEVIATIONS FOR INFINITE DIMENSIONAL AND REVERSIBLE REACTION－DIFFUSION PROCESSES |
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| 引用本文： | 陈金文.LARGE DEVIATIONS FOR INFINITE DIMENSIONAL AND REVERSIBLE REACTION－DIFFUSION PROCESSES[J].应用数学学报(英文版),1996,12(3):300-307. |
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| 作者姓名： | 陈金文 |
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| 作者单位： | Depertment of Applied Mathematics，Tsinghua University，Beijing 100084，China |
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| 摘 要： | ＬＡＲＧＥＤＥＶＩＡＴＩＯＮＳＦＯＲＩＮＦＩＮＩＴＥＤＩＭＥＮＳＩＯＮＡＬＡＮＤＲＥＶＥＲＳＩＢＬＥＲＥＡＣＴＩＯＮ－ＤＩＦＦＵＳＩＯＮＰＲＯＣＥＳＳＥＳＣＨＥＮＪＩＮＷＥＮ（陈金文）（ＤｅｐｅｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，Ｔ...
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| 收稿时间： | 10 March 1992 |
Large deviations for infinite dimensional and reversible reaction-diffusion processes |
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| Jinwen Chen.Large deviations for infinite dimensional and reversible reaction-diffusion processes[J].Acta Mathematicae Applicatae Sinica,1996,12(3):300-307. |
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| Authors: | Jinwen Chen |
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| Institution: | (1) Department of Applied Mathematics, Tsinghua University, 100084 Beijing, China |
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| Abstract: | In this paper we obtain the large deviation principle for the empirical distribution of an infinite dimensional and reversible reaction-diffusion process, which is a Markov process with a non-compact state space. We show that thrate function is good, i.e., it has compact level sets,hence is nondegenerate. |
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| Keywords: | Large deviation particle system reaction-diffusion process |
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