If P(t) is the semigroup asssociated with the Kawasaki dynamics on Z(d) and f is a local function on the configuration space, then the variance with respect to the invariant measure mu of P(t)f goes to zero as t --> infinity faster than the t(-d/2+epsilon), with epsilon arbitrarily small. The fundamental assumption is a mixing condition on the interaction of Dobrushin and Schlosman type.
Diffusive long-time behavior of Kawasaki dynamics
CANCRINI, NICOLETTA;
2005-01-01
Abstract
If P(t) is the semigroup asssociated with the Kawasaki dynamics on Z(d) and f is a local function on the configuration space, then the variance with respect to the invariant measure mu of P(t)f goes to zero as t --> infinity faster than the t(-d/2+epsilon), with epsilon arbitrarily small. The fundamental assumption is a mixing condition on the interaction of Dobrushin and Schlosman type.File in questo prodotto:
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