# Characterization of equilibrium measures for critical reversible Nearest Particle Systems

Open Mathematics (2008)

- Volume: 6, Issue: 2, page 237-261
- ISSN: 2391-5455

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topThomas Mountford, and Li Wu. "Characterization of equilibrium measures for critical reversible Nearest Particle Systems." Open Mathematics 6.2 (2008): 237-261. <http://eudml.org/doc/269317>.

@article{ThomasMountford2008,

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 \[ \frac\{\{7 + \sqrt\{41\} \}\}\{2\} \]
and obeys some natural regularity conditions.},

author = {Thomas Mountford, Li Wu},

journal = {Open Mathematics},

keywords = {particle system; attractiveness; equilibrium measure},

language = {eng},

number = {2},

pages = {237-261},

title = {Characterization of equilibrium measures for critical reversible Nearest Particle Systems},

url = {http://eudml.org/doc/269317},

volume = {6},

year = {2008},

}

TY - JOUR

AU - Thomas Mountford

AU - Li Wu

TI - Characterization of equilibrium measures for critical reversible Nearest Particle Systems

JO - Open Mathematics

PY - 2008

VL - 6

IS - 2

SP - 237

EP - 261

AB - 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 \[ \frac{{7 + \sqrt{41} }}{2} \]
and obeys some natural regularity conditions.

LA - eng

KW - particle system; attractiveness; equilibrium measure

UR - http://eudml.org/doc/269317

ER -

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