Map Lattices coupled by collisions
Dynamical Systems
2015-05-13 v2 Mathematical Physics
math.MP
Abstract
We introduce a new coupled map lattice model in which the weak interaction takes place via rare "collisions". By "collision" we mean a strong (possibly discontinuous) change in the system. For such models we prove uniqueness of the SRB measure and exponential space-time decay of correlations.
Cite
@article{arxiv.0811.3543,
title = {Map Lattices coupled by collisions},
author = {Gerhard Keller and Carlangelo Liverani},
journal= {arXiv preprint arXiv:0811.3543},
year = {2015}
}