Peter Manfred Gruber (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Using Baire categories uniqueness of geodesic segments and existence of closed geodesics on typical convex surfaces are investigated.
Victor Bangert (1981)
Inventiones mathematicae
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Werner Ballmann (1983)
Inventiones mathematicae
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Tudor Zamfirescu (1992)
Mathematische Annalen
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Aitchison, Iain R., Rubinstein, J.Hyam (1997)
Experimental Mathematics
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P. Schmutz (1993)
Geometric and functional analysis
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Ayyildiz, Nihat, Çöken, A.Ceylan, Yücesan, Ahmet (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Peter M. Gruber (1991)
Journal für die reine und angewandte Mathematik
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Tudor Zamfirescu (1984)
Journal für die reine und angewandte Mathematik
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Victor Bangert (1980)
Mathematische Annalen
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G.R. Burton (1977)
Monatshefte für Mathematik
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Parlier, Hugo (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
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Luca Marchese (2012)
Bulletin de la Société Mathématique de France
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We study a diophantine property for translation surfaces, defined in terms of saddle connections and inspired by classical Khinchin condition. We prove that the same dichotomy holds as in Khinchin theorem, then we deduce a sharp estimate on how fast the typical Teichmüller geodesic wanders towards infinity in the moduli space of translation surfaces. Finally we prove some stronger result in genus one.
H. Helfenstein, M. Wyman (1956/57)
Mathematische Annalen
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David D. Bleecker (1981)
Colloquium Mathematicae
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Wilczyński, Władysław, Rzepecka, Genowefa (2015-11-26T16:01:41Z)
Acta Universitatis Lodziensis. Folia Mathematica
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