Ergodic Theory Lectures: Kathryn Lindsey

  • Date: 10/26/2020
  • Time: 09:00
Kathryn Lindsey, Boston College



An invitation to "Entropy in Dimension One" [video]


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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