Global-local mixing for the Boole map
Dynamical Systems
2018-05-04 v2 Chaotic Dynamics
Abstract
In the context of 'infinite-volume mixing' we prove global-local mixing for the Boole map, a.k.a. Boole transformation, which is the prototype of a non-uniformly expanding map with two neutral fixed points. Global-local mixing amounts to the decorrelation of all pairs of global and local observables. In terms of the equilibrium properties of the system it means that the evolution of every absolutely continuous probability measure converges, in a certain precise sense, to an averaging functional over the entire space.
Cite
@article{arxiv.1802.00397,
title = {Global-local mixing for the Boole map},
author = {Claudio Bonanno and Paolo Giulietti and Marco Lenci},
journal= {arXiv preprint arXiv:1802.00397},
year = {2018}
}
Comments
15 pages, 2 figures. Final version to be published in Chaos, Solitons & Fractals