On Thurston’s core entropy algorithm

Gao, Yan

doi:10.1090/tran/7122

On Thurston’s core entropy algorithm
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Trans. Amer. Math. Soc. 373 (2020), 747-776 Request permission

Abstract:

The core entropy of polynomials, recently introduced by W. Thurston, is a dynamical 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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