Exponential decay of correlations for generic birational maps of P^k
Dynamical Systems
2013-04-26 v1 Complex Variables
Abstract
We prove the exponential decay of correlations for C^\alpha-observables (0<\alpha =<2) for generic birational maps of P^k \`a la Bedford-Diller. In the particular case of regular birational maps, we give a better estimate of the speed of the decay, getting results as sharp as Dinh's results for H\'enon maps.
Cite
@article{arxiv.1304.6955,
title = {Exponential decay of correlations for generic birational maps of P^k},
author = {Gabriel Vigny},
journal= {arXiv preprint arXiv:1304.6955},
year = {2013}
}
Comments
19 pages