Dan Reznik’s identities and more

Misha Bialy, Serge Tabachnikov

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

Dan Reznik found, by computer experimentation, a number of conserved quantities associated with periodic billiard trajectories in ellipses. We prove some of his observations using a non-standard generating function for the billiard ball map. In this way, we also obtain some identities valid for all smooth convex billiard tables.

Original languageEnglish (US)
JournalEuropean Journal of Mathematics
DOIs
StateAccepted/In press - 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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