A characterization of Thurston’s Master Teapot

We prove an explicit characterization of the points in Thurston’s Master Teapot, which can be implemented algorithmically to test whether a point in $\mathbb {C}\times \mathbb {R}$ belongs to the complement of the Master Teapot. As an application, we show that the intersection of the Master Teapot w...

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Bibliographic Details
Published inErgodic theory and dynamical systems Vol. 43; no. 10; pp. 3354 - 3382
Main Authors LINDSEY, KATHRYN, WU, CHENXI
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.10.2023
Subjects
Dynamical systems
Entropy
Original Article
Polynomials
topological entropy
37B40
kneading theory
37B10
symbolic dynamics
interval maps
37E15
37E05
Online AccessGet full text
ISSN0143-3857
1469-4417
DOI10.1017/etds.2022.73

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Summary:We prove an explicit characterization of the points in Thurston’s Master Teapot, which can be implemented algorithmically to test whether a point in $\mathbb {C}\times \mathbb {R}$ belongs to the complement of the Master Teapot. As an application, we show that the intersection of the Master Teapot with the unit cylinder is not symmetrical under reflection through the plane that is the product of the imaginary axis of $\mathbb {C}$ and $\mathbb {R}$ .
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ISSN:0143-3857
1469-4417
DOI:10.1017/etds.2022.73