| Numéro |
J. Phys. IV France
Volume 08, Numéro PR6, October 1998
International Conference on Disorder and Chaos in honour of Giovanni Paladin
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|---|---|---|
| Page(s) | Pr6-227 - Pr6-231 | |
| DOI | https://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
Dipartimento di Matematica, Università degli Studi di Bologna, 40127 Bologna, Italy
© EDP Sciences 1998
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. IsolaDipartimento 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].
© EDP Sciences 1998