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Dynamical Systems and Mathematical Physics
May 20, 2020 17:00, Moscow, online
 


New generating function for Birkhoff billiard and applications

M. L. Bialy

Tel Aviv University

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Abstract: I shall discuss a new generating function for Birkhoff billiard (valid also in higher dimensions). It was first found in our joint paper with Andrey E. Mironov. Using this function I will show a new formula for the total length of the polygon corresponding to a periodic orbit. Finally I will specialize to the case of ellipse and give a proof (joint with Sergei Tabachnikov) of remarkable identities obtained recently by Dan Reznik et al (first proved by other method in the paper by Akopyan, Schwartz, Tabachnikov)

Language: English

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