Sunder Sethuraman — Superdiffusivity of Occupation-Time Variance in 2-dimensional Asymmetric Exclusion Processes with Density ρ = 1 / 2 ∗
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Название: Superdiffusivity of Occupation-Time Variance in 2-dimensional Asymmetric Exclusion Processes with Density ρ = 1 / 2 ∗
Автор: Sunder Sethuraman
Аннотация:
We compute that the growth of the occupation-time variance at the origin up to time t in dimension d = 2 with respect to asymmetric simple exclusion in equilibrium with density ρ = 1 / 2 is in a certain sense at leastt
log(log t ) for general rates, and at least t (log t ) 1 / 2 for rates which are asymmetric only in the direction of one of the axes.
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