UNIQUENESS AND EXPONENTIAL DECAY OF CORRELATIONS FOR SOME 2-DIMENSIONAL SPIN-LATTICE SYSTEMS

We consider a two-dimensional lattice spin system which naturally aris es in dynamical systems called coupled map lattice. The configuration space of the spin system is a direct product of mixing subshifts of fi nite type. The potential is defined on the set of all squares in Z(2) and decays exponentially with the linear size of the square. Via the p olymer expansion technique we prove that for sufficiently high tempera tures the limit Gibbs distribution is unique and has an exponential de cay of correlations.