Complex bounds for multimodal maps: bounded combinatorics
Dynamical Systems
2022-03-30 v2
Abstract
We proved the so called complex bounds for multimodal, infinitely renormalizable analytic maps with bounded combinatorics: deep renormalizations have polynomial-like extensions with definite modulus. The complex bounds is the first step to extend the renormalization theory of unimodal maps to multimodal maps.
Keywords
Cite
@article{arxiv.math/0009179,
title = {Complex bounds for multimodal maps: bounded combinatorics},
author = {Daniel Smania},
journal= {arXiv preprint arXiv:math/0009179},
year = {2022}
}
Comments
20 pages, 3 figures