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Ergodic Theory/Probability Seminar - Kathryn Lindsey

Ergodic Theory/Probability Seminar
October 24, 2019
3:00PM - 4:00PM
Math Tower 154

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Add to Calendar 2019-10-24 15:00:00 2019-10-24 16:00:00 Ergodic Theory/Probability Seminar - Kathryn Lindsey Title: Thurston's Master Teapot Speaker: Kathryn Lindsey - Boston College Abstract: When a multimodal self-map of an interval is postcritically finite (PCF), its growth rate (the exponential of its topological entropy) is a special type of algebraic number called a weak Perron number. W. Thurston plotted the set of all Galois conjugates of growth rates of PCF unimodal maps; this visually stunning image revealed that this set has a rich and mysterious geometric structure. Thurston's Master Teapot is a closely related 3D set. This talk will present some of the basic topological and geometrical properties of these sets. Based on joint work with C. Wu. H. Bray, D. Davis. Math Tower 154 Department of Mathematics math@osu.edu America/New_York public

Title: Thurston's Master Teapot

Speaker: Kathryn Lindsey - Boston College

Abstract: When a multimodal self-map of an interval is postcritically finite (PCF), its growth rate (the exponential of its topological entropy) is a special type of algebraic number called a weak Perron number. W. Thurston plotted the set of all Galois conjugates of growth rates of PCF unimodal maps; this visually stunning image revealed that this set has a rich and mysterious geometric structure. Thurston's Master Teapot is a closely related 3D set. This talk will present some of the basic topological and geometrical properties of these sets. Based on joint work with C. Wu. H. Bray, D. Davis.

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