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Conference Papers Year : 2011

Approximation and billiards


This survey is based on a series of talks I gave at the conference ``Dynamical systems and diophantine approximation'' at l'Instut Henri Poincaré in June 2003. I will present asymptotic results (transitivity, ergodicity, weak-mixing) for billiards based on the approximation technique developed by Katok and Zemlyakov. I will also present approximation techniques which allow to prove the abundance of periodic trajectories in certain irrational polygons.
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Dates and versions

hal-00115001 , version 1 (20-11-2006)
hal-00115001 , version 2 (19-11-2007)



Serge Troubetzkoy. Approximation and billiards. Dynamical systems and Diophantine approximation, 2009, Paris, France. pp.173-185. ⟨hal-00115001v2⟩
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