Renormalization for unimodal maps with non-integer exponents
Dynamical Systems
2017-04-18 v2
Abstract
We define an analytic setting for renormalization of unimodal maps with an arbitrary critical exponent. We prove the global Hyperbolicity of Renormalization conjecture for unimodal maps of bounded type with a critical exponent which is sufficiently close to an even integer.
Cite
@article{arxiv.1702.01214,
title = {Renormalization for unimodal maps with non-integer exponents},
author = {Igors Gorbovickis and Michael Yampolsky},
journal= {arXiv preprint arXiv:1702.01214},
year = {2017}
}