Map Lattices Coupled by Collisions
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.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- October 2009
- DOI:
- 10.1007/s00220-009-0835-z
- arXiv:
- arXiv:0811.3543
- Bibcode:
- 2009CMaPh.291..591K
- Keywords:
-
- Mathematics - Dynamical Systems;
- Mathematical Physics;
- 37C30;
- 37L60;
- 37D20
- E-Print:
- doi:10.1007/s00220-009-0835-z