English

Hedgehogs of Hausdorff dimension one

Dynamical Systems 2009-04-02 v1 Complex Variables

Abstract

We present a construction of hedgehogs for holomorphic maps with an indifferent fixed point. We construct, for a family of commuting non-linearisable maps, a common hedgehog of Hausdorff dimension 1, the minimum possible.

Cite

@article{arxiv.0904.0061,
  title  = {Hedgehogs of Hausdorff dimension one},
  author = {Kingshook Biswas},
  journal= {arXiv preprint arXiv:0904.0061},
  year   = {2009}
}

Comments

one figure omitted

R2 v1 2026-06-21T12:46:54.048Z