Fluctuations in the occupation time of a site in the asymmetric simple exclusion process

• Cédric Bernardin ^[1]
  1. [1] École Normale Supérieure de Cachan

     École Normale Supérieure de Cachan

     Arrondissement de L'Haÿ-les-Roses, Francia

     
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 32, Nº. 1, 2, 2004, págs. 855-879
• Idioma: inglés
• DOI: 10.1214/aop/1079021466
• Texto completo no disponible (Saber más ...)
• Resumen

  • We consider the simple asymmetric exclusion process with nonzero drift under the stationary Bernoulli product measure at density ρ. We prove that for dimension d=2 the occupation time of the site 0 is diffusive as soon as ρ≠1/2. For dimension d=1, if the density ρ is equal to 1/2, we prove that the time t variance of the occupation time of the site 0 diverges in a certain sense at least as t5/4.