Although individual orbits of chaotic dynamical systems are by definition unpredictable, the
average behavior of typical trajectories can often be given a precise statistical description …

In this review we survey the literature on mean-field coupled maps. We start with the early
works from the physics literature, arriving to some recent results from ergodic theory studying …

This book describes new applications for spatio-temporal chaotic dynamical systems in
elementary particle physics and quantum field theories. The stochastic quantization …

UNIQUENESS OF THE SRB MEASURE FOR PIECEWISE EXPANDING WEAKLY
COUPLED MAP LATTICES IN ANY DIMENSION 1. Introduction The field of Page 1 …

The aim of this paper is to rigorously study the dynamics of Heterogeneously Coupled Maps
(HCM). Such systems are determined by a network with heterogeneous degrees. Some …

Coupled map lattices with phase transition Page 1 Nonlinearity Coupled map lattices with phase
transition To cite this article: G Gielis and RS MacKay 2000 Nonlinearity 13 867 View the article …

To identify and to explain coupling-induced phase transitions in coupled map lattices (CML)
has been a lingering enigma for about two decades. In numerical simulations, this …

We consider analytically coupled circle maps (uniformly expanding and analytic) on the-
lattice with exponentially decaying interaction. We introduce Banach spaces for the infinite …

We construct a mixing continuous piecewise linear map on [− 1, 1] with the property that a
two-dimensional lattice made of these maps with a linear north and east nearest neighbour …

For weakly coupled expanding maps on the unit circle, Bricmont and Kupiainen showed that
the Sinai-Ruelle-Bowen (SRB) measure exists as a Gibbs state. Via thermodynamic …