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On equations of integrable billiard tables

A. E. Mironov

Abstract: We will consider several questions related to the integrability of mathematical billiards. In particular, we consider a method to find differential equations for functions which define tables, such that associated billiard systems admit a local first integral. The talk is based on a joint paper V. Dragovic, A. E. Mironov, Acta Mathematica Sinica, 2024.

Language: English


© Steklov Math. Inst. of RAS, 2024