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GDMSeminar: Abstracts of the Talks (2020/8)

Dmitry Treschev (Russian Academy of Science)

Billiard systems with locally linear dynamics
Tuesday, September 8, 2020, 15:00 GMT

Abstract: Can a billiard map be locally conjugated to a rigid rotation? We prove that the answer to this question is positive in the category of formal series that determine the boundary. We also present numerical evidence that for good rotation angles the answer is also positive in analytic category.