October 24, 2019
3:00PM
-
4:00PM
Math Tower 154
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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
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Date Range
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
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.
