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Ergodic theorem for generalized long-range exclusion processes with positive recurrent transition probabilities

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Abstract

This paper is devoted to the ergodicity of generalized long-range exclusion processes with positive recurrent transition probabilities. The set of invariant probability measures and the corresponding domain of attraction for each invariant probability measure are described.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, Beijing, China

    Zheng Xiaogu

Authors
  1. Zheng Xiaogu
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This paper is partially supported the National Natural Science Foundation of China.

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Xiaogu, Z. Ergodic theorem for generalized long-range exclusion processes with positive recurrent transition probabilities. Acta Mathematica Sinica 4, 193–209 (1988). https://doi.org/10.1007/BF02560576

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  • DOI: https://doi.org/10.1007/BF02560576

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