Characterization of equilibrium measures for critical reversible Nearest Particle Systems

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 7+root 4/2 and obeys some natural regularity conditions.


Published in:
Central European Journal Of Mathematics, 6, 237-261
Year:
2008
Keywords:
Laboratories:




 Record created 2010-11-30, last modified 2018-03-18


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