Map Lattices Coupled by Collisions

@article{Keller2008MapLC,
  title={Map Lattices Coupled by Collisions},
  author={Gerhard Keller and Carlangelo Liverani},
  journal={Communications in Mathematical Physics},
  year={2008},
  volume={291},
  pages={591-597}
}
  • G. Keller, C. Liverani
  • Published 21 November 2008
  • Mathematics, Physics
  • Communications in Mathematical Physics
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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References

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Lectures from the school-forum (CML 2004) held in Paris
  • Lecture Notes in Physics
  • 2004
Bismarckstr . 1 1 2 , 91052 Erlangen, Germany E-mail address: keller@mi.uni-erlangen
  • Bismarckstr . 1 1 2 , 91052 Erlangen, Germany E-mail address: keller@mi.uni-erlangen
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