Complex a priori bounds for Lorenz maps
Dynamical Systems
2020-02-17 v1
Abstract
We construct complex a-priori bounds for certain infinitely renormalizable Lorenz maps. As a corollary, we show that renormalization is a real-analytic operator on the corresponding space of Lorenz maps.
Cite
@article{arxiv.2002.05807,
title = {Complex a priori bounds for Lorenz maps},
author = {Denis Gaidashev and Igors Gorbovickis},
journal= {arXiv preprint arXiv:2002.05807},
year = {2020}
}