Large deviations and occupation times for spin particle systems with long range interactions

2000 ◽  
Vol 43 (12) ◽  
pp. 1269-1278
Author(s):  
Jinwen Chen
Keyword(s):  
Large Deviations ◽  
Long Range ◽  
Particle Systems ◽  
Occupation Times ◽  
Spin Particle ◽  
Long Range Interactions

scholarly journals Macroscopic evolution of particle systems with short- and long-range interactions

Nonlinearity ◽  
2000 ◽  
Vol 13 (6) ◽  
pp. 2143-2162 ◽  
Author(s):  
Giambattista Giacomin ◽  
Joel L Lebowitz ◽  
Rossana Marra
Keyword(s):  
Long Range ◽  
Particle Systems ◽  
Long Range Interactions

MARKOV SEMIGROUPS ON UHF ALGEBRAS

1993 ◽  
Vol 05 (03) ◽  
pp. 587-600 ◽  
Author(s):  
TAKU MATSUI
Keyword(s):  
Long Range ◽  
Interacting Particle Systems ◽  
Sufficient Conditions ◽  
Particle Systems ◽  
Unique Ergodicity ◽  
Markov Semigroups ◽  
Interacting Particle ◽  
Long Range Interactions

We consider a class of Markov semigroups on UHF algebras. We establish the existence of dynamics for long range interactions. Our idea is a non-commutative extension of the argument for classical interacting particle systems. As a by-product we obtain sufficient conditions for unique ergodicity.

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