an:04209271
Zbl 0731.60094
Liggett, Thomas M.
Limiting behavior of a one-dimensional system with long range interactions
EN
Mathematics of random media, Proc. AMS-SIAM Summer Semin., Conf., Blacksburg/VA (USA) 1989, Lect. Appl. Math. 27, 31-40 (1991).
1991
a
60K35
interacting particle systems; ergodic behaviour; critical behaviour; rate of convergence
[For the entire collection see Zbl 0725.00015.]
The author reviews recent results on the limiting behaviour of the nearest particle system for large times, in particular survival vs. extinction, critical behaviour, invariant measures and rate of convergence.
M.M??rmann (Heidelberg)
Zbl 0725.00015