Characterization of equilibrium measures for critical reversible Nearest Particle Systems
2008
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 7+root 4/2 and obeys some natural regularity conditions.
Details
Title
Characterization of equilibrium measures for critical reversible Nearest Particle Systems
Author(s)
Mountford, Thomas S. ; Wu, Li Chau
Published in
Central European Journal Of Mathematics
Volume
6
Pages
237-261
Date
2008
Keywords
Other identifier(s)
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Laboratories
PRST
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > PRST - Chair of Stochastic Processes
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2010-11-30