Interview with Yakov Sinai

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a Billiard ? Yakov Sinai

412 NOTICES OF THE AMS VOLUME 51, NUMBER 4 Billiards are dynamical systems. In the simplest case, a “billiard table” is a compact domain Q ⊂ Rd with a piecewise smooth boundary. For a large part of the theory the class of smoothness plays no role. The reader is invited to think about components of the boundary ∂Q as subsets of C∞-submanifolds of codimension 1. The phase space M of the billiard ...

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Yakov G . Sinai , Abel Prize Laureate 2014

A dynamical billiard is an idealization of the game of billiard, but where the table can have shapes other than the rectangular and even be multidimensional. We use only one billiard ball, and the billiard may even have regions where the ball is kept out. Formally, a dynamical billiard is a dynamical system where a massless and point shaped particle moves inside a bounded region. The particle i...

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ژورنال

عنوان ژورنال: Notices of the American Mathematical Society

سال: 2015

ISSN: 0002-9920,1088-9477

DOI: 10.1090/noti1210