J. Phys. IV France 08 (1998) Pr6-227-Pr6-231
Transfer operator for infinite dimensional dynamical systemsM. Degli Esposti and S. Isola
Dipartimento di Matematica, Università degli Studi di Bologna, 40127 Bologna, Italy
We briefly outline some recent approaches relying on cluster expansions techniques (see , , ) to study transfer operators associated to coupled maps lattices. These are infinite dimensional dynamical systems involving interactions between continuous state elements which evolve in discrete time and are distributed on a lattice. Existence of mixing SRB measures for such systems is referred to as space-time chaos .
© EDP Sciences 1998