Occupation time large deviations of two-dimensional symmetric simple exclusion process

• Chih-Chung Chang ^[1] ; Claudio Landim ^[2] ; Tzong-Yow Lee ^[3]
  1. [1] National Taiwan University

     National Taiwan University

     Taiwán

     
  2. [2] Instituto Nacional de Matemática Pura e Aplicada

     Instituto Nacional de Matemática Pura e Aplicada

     Brasil

     
  3. [3] University of Maryland

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• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 32, Nº. 1, 2, 2004, págs. 661-691
• Idioma: inglés
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• Resumen

  • We prove a large deviations principle for the occupation time of a site in the two-dimensional symmetric simple exclusion process. The decay probability rate is of order t/logt and the rate function is given by Υα(β)=(π/2){sin−1(2β−1)−sin−1(2α−1)}2. The proof relies on a large deviations principle for the polar empirical measure which contains an interesting log scale spatial average. A contraction principle permits us to deduce the occupation time large deviations from the large deviations for the polar empirical measure.