Characterization of equilibrium measures for critical reversible Nearest Particle Systems |
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| Authors: | Thomas S. Mountford Li Chau Wu |
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| Affiliation: | (1) Département de Mathématiques, Ecole Polytechnique Fédérale, 1015 Lausanne, Switzerland;(2) Department of Mathematics, National Taitung University, Taiwan, 950, China |
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| Abstract: | We show that for critical reversible attractive Nearest Particle Systems all equilibrium measures are convex combinations of the upper invariant equilibrium measure and the point mass at all zeros, provided the underlying renewal sequence possesses moments of order strictly greater than  and obeys some natural regularity conditions. The research of this author is partially supported by the FNS Grant #200021-107475/1 |
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| Keywords: | particle system attractiveness equilibrium measure |
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