Smooth Combs Inside Hedgehogs
Dynamical Systems
2009-03-16 v1 Complex Variables
Abstract
We use techniques of tube-log Riemann surfaces due to R.Perez-Marco to construct a hedgehog containing smooth combs. The hedgehog is a common hedgehog for a family of commuting non-linearisable holomorphic maps with a common indifferent fixed point. The comb is made up of smooth curves, and is transversally bi-H\"older regular.
Cite
@article{arxiv.0903.2400,
title = {Smooth Combs Inside Hedgehogs},
author = {Kingshook Biswas},
journal= {arXiv preprint arXiv:0903.2400},
year = {2009}
}