| Large deviations for Glauber dynamics of continuous gas |
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| 作者单位： | 1，2 |
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| 摘 要： | This paper is devoted to the large deviation principles of the Glauber-type dynamics of finite or infinite volume continuous particle systems.We prove that the level-2 empirical process satisfies the large deviation principles in the weak convergence topology,while it does not satisfy the large deviation principles in the T-topology.
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| 收稿时间： | 30 June 2006 |
| 修稿时间： | 12 October 2007 |
Large deviations for Glauber dynamics of continuous gas |
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| Authors: | QiongXia Song |
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| Institution: | (1) School of Mathematical Sciences, Wuhan University, Wuhan, 430072, China;(2) Department of Statistics and Probability, Michigan State University, East Lansing, MI48824, USA |
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| Abstract: | This paper is devoted to the large deviation principles of the Glauber-type dynamics of finite or infinite volume continuous particle systems.We prove that the level-2 empirical process satisfies the large deviation principles in the weak convergence topology,while it does not satisfy the large deviation principles in the T-topology. |
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| Keywords: | Gibbs measures Glauber dynamics empirical processes large deviation principles |
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