Characterization of equilibrium measures for critical reversible Nearest Particle Systems

• Autorzy: Thomas Mountford , Li Wu
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

particle system; attractiveness; equilibrium measure

Kategorie tematyczne

• 60G15: Gaussian processes
• 60G60: Random fields
• 60G17: Sample path properties

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2008
• Tom: 6
• Numer: 2
• Strony: 237-261

Daty

wydano

2008-06-01

online

2008-04-15

Twórcy

autor

Thomas Mountford

• Ecole Polytechnique Fédérale

autor

Li Wu

• National Taitung University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-008-0024-x