Map Lattices coupled by collisions

Details Map Lattices coupled by collisions Map Lattices coupled by collisions

2008-11-21

arxiv.org/abs/0811.3543v2

Mathematics

Dynamical Systems

Scientific paper

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.

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