An invitation to "Entropy in Dimension One"

Speaker: Kathryn Lindsey

Date: Mon, Oct 26, 2020

Location: Zoom, University of Utah

Conference: Online working seminar in Ergodic Theory

Subject: Mathematics

Class: Scientific


Which real numbers arise as the entropies of continuous, multimodal, postcritically finite self-maps of real intervals? This is the "one-dimensional" analogue of a more famous open question: which real numbers arise as the dilatations of pseudo-Anosov surface diffeomorphisms? In "Entropy in Dimension One," W. Thurston answers this one-dimensional version of the question. We'll discuss a small subset of the many beautiful ideas and questions in this paper.

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