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arXiv · 1511.06513

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

Yan Gao
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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.

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Yan Gao. 2017-02-24. On thurston's core entropy algorithm dedicated to the memory of tan lei. https://arxiv.org/abs/1511.06513

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