scholarly journals On non-equilibrium dynamics of multidimensional infinite particle systems in the translation invariant case

1985 ◽  
Vol 100 (2) ◽  
pp. 245-265 ◽  
Author(s):  
Ra. Siegmund-Schultze
Keyword(s):  
Particle Systems ◽  
Translation Invariant ◽  
Infinite Particle Systems ◽  
Equilibrium Dynamics ◽  
Infinite Particle ◽  
Non Equilibrium

scholarly journals A coupling of infinite particle systems II

1998 ◽  
Vol 38 (4) ◽  
pp. 635-642 ◽  
Author(s):  
E. Andjel ◽  
T. Mountford
Keyword(s):  
Particle Systems ◽  
Infinite Particle Systems ◽  
Infinite Particle

scholarly journals An infinite particle system with additive interactions

1979 ◽  
Vol 11 (02) ◽  
pp. 355-383 ◽  
Author(s):  
Richard Durrett
Keyword(s):  
Necessary Conditions ◽  
Particle System ◽  
Particle Systems ◽  
Compact Set ◽  
Translation Invariant ◽  
Limiting Behavior ◽  
Branching Random Walks ◽  
Sufficient And Necessary Conditions ◽  
Infinite Particle ◽  
Number Of Particles

The models under consideration are a class of infinite particle systems which can be written as a superposition of branching random walks. This paper gives some results about the limiting behavior of the number of particles in a compact set ast→ ∞ and also gives both sufficient and necessary conditions for the existence of a non-trivial translation-invariant stationary distribution.

Large deviations for noninteracting infinite-particle systems

1987 ◽  
Vol 46 (5-6) ◽  
pp. 1195-1232 ◽  
Author(s):  
M. D. Donsker ◽  
S. R. S. Varadhan
Keyword(s):  
Large Deviations ◽  
Particle Systems ◽  
Infinite Particle Systems ◽  
Infinite Particle
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