Entropy Analysis of a Nearest-Neighbor Attractive/Repulsive Exclusion Process on One-Dimensional Lattices
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概要
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Stationary measures for an interactive exclusion process on ℤ are considered. The process is such that the jump rate of each particle to the empty neighboring site is α > 0 (resp., β > 0) when another neighboring site is occupied (resp., unoccupied) by a particle, and that α ≠ β. According as α < β or α > β the process becomes nearest-neighbor attractive or repulsive, respectively. The method of relative entropy is used to determine the family ℳβ/α of stationary measures. The member of ℳγ is simply described as the probability measure having the regular clustering property which is a generalization of the exchangeable property of measures. It is shown that extremal points of ℳγ are renewal measures. Thus the structure of stationary measures for the process is completely determined.
- Institute of Mathematical Statisticsの論文
- 1990-04-00
Institute of Mathematical Statistics | 論文
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