English

On thurston's core entropy algorithm dedicated to the memory of tan lei

Dynamical Systems 2017-02-27 v2

Abstract

The core entropy of polynomials, recently introduced by W. Thurston, is a dy-namical invariant extending topological entropy for real maps to complex polynomials, whence providing a new tool to study the parameter space of polynomials. The base is a combinatorial algorithm allowing for the computation of the core entropy given by Thurston, but without supplying a proof. In this paper, we will describe his algorithm and prove its validity.

Keywords

Cite

@article{arxiv.1511.06513,
  title  = {On thurston's core entropy algorithm dedicated to the memory of tan lei},
  author = {Yan Gao},
  journal= {arXiv preprint arXiv:1511.06513},
  year   = {2017}
}