Continuity of core entropy of quadratic polynomials

DOI10.1007/s00222-015-0605-9zbMath1359.37101arXiv1409.3511OpenAlexW1862387976MaRDI QIDQ261525

Giulio Tiozzo

Publication date: 24 March 2016

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3511

zbMATH Keywords

transition matrixexternal rayHubbard treepost-critically finitespectral determinant

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Topological entropy (37B40) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (13)

Core entropy of quadratic polynomials ⋮ Core entropy of polynomials with a critical point of maximal order ⋮ A characterization of Thurston’s Master Teapot ⋮ On the core entropy of Newton maps ⋮ The local Hölder exponent for the dimension of invariant subsets of the circle ⋮ Homotopy Hubbard trees for post-singularly finite exponential maps ⋮ Laminational Models for Some Spaces of Polynomials of Any Degree ⋮ Criterion for rays landing together ⋮ The shape of Thurston's master teapot ⋮ Diabolical entropy ⋮ The local Hölder exponent for the entropy of real unimodal maps ⋮ On fair entropy of the tent family ⋮ On Thurston’s core entropy algorithm

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