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.
@article{bwmeta1.element.doi-10_2478_s11533-008-0024-x,
author = {Thomas Mountford and Li Wu},
title = {Characterization of equilibrium measures for critical reversible Nearest Particle Systems},
journal = {Open Mathematics},
volume = {6},
year = {2008},
pages = {237-261},
zbl = {1141.60067},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-008-0024-x}
}
Thomas Mountford; Li Wu. Characterization of equilibrium measures for critical reversible Nearest Particle Systems. Open Mathematics, Tome 6 (2008) pp. 237-261. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-008-0024-x/
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