Various properties of the rate function of a large deviation principle for the space-time empirical process of an interacting particle system are studied here. In particular we show that the minimum points of the rate function correspond to the stationary measures for the system.
Large deviations and stationary measures for interacting particle systems
Paolo Dai Pra
1993-01-01
Abstract
Various properties of the rate function of a large deviation principle for the space-time empirical process of an interacting particle system are studied here. In particular we show that the minimum points of the rate function correspond to the stationary measures for the system.
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