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