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Pré-Publication, Document De Travail Année : 2006

Approximation and billiards

Résumé

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 et versions

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

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Serge Troubetzkoy. Approximation and billiards. 2006. ⟨hal-00115001v1⟩
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