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Fractions continues hermitiennes et billard hyperbolique

Pierrick Meignen — 1998

Journal de théorie des nombres de Bordeaux

Nous proposons de formaliser une méthode d’approximation diophantienne dans en considérant l’action de P G L 2 ( ) sur le demi-plan complexe. On retrouvera le thème classique de la connexion entre développement en fractions continues et flots géodésiques modélisé ici par un billard hyperbolique.

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