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Dynamical Systems Seminar | Francisco Andres Arana Herrera (University of Maryland)

Tuesday, January 14, 2025 | 4:00 PM - 5:00 PM CT
Lunt Hall, 105, 2033 Sheridan Road, Evanston, IL 60208 map it

Title:
Chaos in polygonal billiards

Abstract:
We discuss how chaos, i.e., sensitivity to initial conditions, arises in the setting of polygonal billiards. In particular, we give a complete classification of the rational polygons whose billiard flow is weak mixing in almost every direction, proving a longstanding conjecture of Gutkin. This is joint work with Jon Chaika and Giovanni Forni. No previous knowledge on the subject will be assumed.

Audience

  • Faculty/Staff
  • Post Docs/Docs
  • Graduate Students

Contact

Bryna Kra
(847) 491-5567
Email

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