Outer billiards

Outer billiards is a dynamical system based on a convex shape in the plane. Classically, this system is defined for the Euclidean plane^[1] but one can also consider the system in the hyperbolic plane^[2] or in other spaces that suitably generalize the plane. Outer billiards differs from a usual dynamical billiard in that it deals with a discrete sequence of moves outside the shape rather than inside of it.

^ Cite error: The named reference Tabachnikov1995 was invoked but never defined (see the help page).
^ Tabachnikov, Sergei (2002). "Dual Billiards in the Hyperbolic Plane". Nonlinearity. 15 (4): 1051–1072. Bibcode:2002Nonli..15.1051T. CiteSeerX 10.1.1.408.9436. doi:10.1088/0951-7715/15/4/305. S2CID 250758250.

[Tabachnikov1995-1] Cite error: The named reference Tabachnikov1995 was invoked but never defined (see the help page).

[2] Tabachnikov, Sergei (2002). "Dual Billiards in the Hyperbolic Plane". Nonlinearity. 15 (4): 1051–1072. Bibcode:2002Nonli..15.1051T. CiteSeerX 10.1.1.408.9436. doi:10.1088/0951-7715/15/4/305. S2CID 250758250.

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