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Pointwise ergodic theorems for the symmetric exclusion process
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  • Published: August 1987

Pointwise ergodic theorems for the symmetric exclusion process

  • Enrique D. Andjel1 &
  • Claude P. Kipnis2 

Probability Theory and Related Fields volume 75, pages 545–550 (1987)Cite this article

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  • 3 Citations

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Summary

Almost sure convergence theorems are proved for Cesaro averages of continous functions in the case of the symmetric exclsion processes in dimension d≧3. For the occupation time of a single site the same result is proved in all dimensions.

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Author information

Authors and Affiliations

  1. Instituto de Matemática e Estatistica, Universidade de São Paulo, CEP 05508, São Paulo, Brasil

    Enrique D. Andjel

  2. Centre de Mathematiques, Ecole Polytechnique, F-91128, Palaiseau, France

    Claude P. Kipnis

Authors
  1. Enrique D. Andjel
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  2. Claude P. Kipnis
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Additional information

Partially supported by CNPq

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Cite this article

Andjel, E.D., Kipnis, C.P. Pointwise ergodic theorems for the symmetric exclusion process. Probab. Th. Rel. Fields 75, 545–550 (1987). https://doi.org/10.1007/BF00320333

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  • Received: 19 January 1985

  • Revised: 04 March 1987

  • Issue Date: August 1987

  • DOI: https://doi.org/10.1007/BF00320333

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Keywords

  • Stochastic Process
  • Probability Theory
  • Mathematical Biology
  • Convergence Theorem
  • Single Site
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