JOURNAL ARTICLE
On the ergodicity of billiards in non-rational polygons
Year: 2015 Journal: Centre International de Rencontres Mathématiques
Abstract
We will present a geometric criterion for the ergodicity of the billiard flow in a polygon with non-rational angles and discuss its application to the Diophantine case.
Keywords:
Ergodicity Mathematics Computer science Combinatorics Statistics
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Topics
Mathematical Dynamics and Fractals
Physical Sciences → Mathematics → Mathematical Physics
Quantum chaos and dynamical systems
Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics
Advanced Differential Equations and Dynamical Systems
Physical Sciences → Mathematics → Geometry and Topology
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