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Uniqueness of an invariant probability for non-degenerate Markov-Feller operators

GUO Xin-wei   

  1. Department of Applying Mathematics and Statistics, Shandong University at Weihai, Weihai 264209, Shandong, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: GUO Xin-wei

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Abstract: The ergodicity of non-degenerate Markov-Feller operators on locally compact separable metric space was discussed and the necessary and sufficient condition for the existence of the unique invariant probability was given.

Key words: ergodicity , invariant probability measure, transition probability function, non-degenerate Markov-Feller operators

CLC Number: 

  • O177.99
[1] WANG Feng-Yu. On stochastic generalized porous media and fast diffusion equations [J]. J4, 2009, 44(10): 1-3.
[2] WANG Feng-Yu. On stochastic generalized porous media and fast diffusion equations [J]. J4, 2009, 44(10): 1-13.
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