Characterization of equilibrium measures for critical reversible Nearest Particle Systems

Thomas Mountford; Li Wu

Open Mathematics (2008)

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

Abstract

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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 + 41 2 and obeys some natural regularity conditions.

How to cite

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Thomas 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 -

References

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