Transfer operator for infinite dimensional dynamical systems

M. Degli Esposti; S. Isola

doi:doi:10.1051/jp4:1998631

Issue		J. Phys. IV France Volume 08, Number PR6, October 1998 International Conference on Disorder and Chaos in honour of Giovanni Paladin


Page(s)		Pr6-227 - Pr6-231
DOI		http://dx.doi.org/10.1051/jp4:1998631

International Conference on Disorder and Chaos in honour of Giovanni Paladin

J. Phys. IV France 08 (1998) Pr6-227-Pr6-231
DOI: 10.1051/jp4:1998631

Transfer operator for infinite dimensional dynamical systems

M. Degli Esposti and S. Isola

Dipartimento di Matematica, Università degli Studi di Bologna, 40127 Bologna, Italy

Abstract
We briefly outline some recent approaches relying on cluster expansions techniques (see [4], [5], [6]) 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 [1].