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Open Problems on Billiards and Geometric Optics

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Abstract

This is a collection of problems composed by some participants of the workshop “Differential Geometry, Billiards, and Geometric Optics” that took place at CIRM on October 4–8, 2021.

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Notes

  1. Supported by ISF Grant 580/20.

  2. Partially supported by Laboratory of Dynamical Systems and Applications, HSE University, of the Ministry of science and higher education of the RF Grant ag. No 075-15-2019-1931 and by RFBR and JSPS (research project 19-51-50005).

  3. Supported by CIDMA through FCT (Fundação para a Ciência e a Tecnologia), ref. UIDB/04106/2020.

  4. More precisely, let a particle hit the body at a regular point x of its boundary. One needs to take an inertial reference system in which the point x is at rest; in this system the reflection occurs according to the familiar billiard law.

  5. Supported by NSF Grant DMS-2005444.

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Authors and Affiliations

  1. School of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, Israel

    Misha Bialy

  2. IST Austria, Am Campus 1, Klosterneuburg, Austria

    Corentin Fierobe

  3. CNRS (UMPA, ENS de Lyon), France and HSE University, Moscow, Russia

    Alexey Glutsyuk

  4. Department of Mathematics, Pennsylvania State University, State College, USA

    Mark Levi & Serge Tabachnikov

  5. Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Alexander Plakhov

Authors
  1. Misha Bialy
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  2. Corentin Fierobe
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  3. Alexey Glutsyuk
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  4. Mark Levi
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  5. Alexander Plakhov
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  6. Serge Tabachnikov
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Correspondence to Serge Tabachnikov.

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Bialy, M., Fierobe, C., Glutsyuk, A. et al. Open Problems on Billiards and Geometric Optics. Arnold Math J. 8, 411–422 (2022). https://doi.org/10.1007/s40598-022-00198-y

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  • DOI: https://doi.org/10.1007/s40598-022-00198-y

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