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Stochastic stability of weakly coupled lattice maps. (English) Zbl 0962.82010
The authors consider perturbation of weakly coupled expanding circle maps. They consider the natural invariant measure for the dynamics via a polymer expansion and prove the stochastic stability of the system.

MSC:
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
37A60 Dynamical aspects of statistical mechanics
82C22 Interacting particle systems in time-dependent statistical mechanics
37E10 Dynamical systems involving maps of the circle
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