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This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-07-01 and was most recently seen on 2026-07-01.
In mathematics and physics, the Artin billiard is a type of a dynamical billiard first studied by Emil Artin in 1924. It describes the geodesic motion of a free particle on the non-compact Riemann surface where is the upper half-plane endowed with the Poincaré metric and is the modular group. It can be viewed as the motion on the fundamental domain of the modular group with the sides identified.
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