메뉴 건너뛰기




Volumn 72, Issue , 1997, Pages 21-44

An extension of Lagrange's theorem to interval exchange transformations over quadratic fields

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0005580873     PISSN: 00217670     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02843152     Document Type: Article
Times cited : (40)

References (22)
  • 1
    • 0003209694 scopus 로고
    • The real analytic theory of teichmüller space
    • Springer-Verlag, Berlin and New York
    • W. Abikoff, The real analytic theory of Teichmüller space, Lecture Notes in Mathematics, Vol. 820, Springer-Verlag, Berlin and New York, 1980.
    • (1980) Lecture Notes in Mathematics , vol.820
    • Abikoff, W.1
  • 2
    • 0013286423 scopus 로고
    • Construction de difféomorphismes pseudo-anosov
    • P. Arnoux and J. Yoccoz, Construction de difféomorphismes pseudo-Anosov, C. R. Acad. Sci. Paris 292 (1981), 75-78.
    • (1981) C. R. Acad. Sci. Paris , vol.292 , pp. 75-78
    • Arnoux, P.1    Yoccoz, J.2
  • 3
    • 84974220147 scopus 로고
    • Rank two interval exchange transformations
    • M. Boshernitzan, Rank two interval exchange transformations, Ergodic Theory Dynam. Systems 8 (1988), 379-394.
    • (1988) Ergodic Theory Dynam. Systems , vol.8 , pp. 379-394
    • Boshernitzan, M.1
  • 4
    • 0001902704 scopus 로고
    • Unique ergodicity for horocycle foliations
    • R. Bowen and B. Marcus, Unique ergodicity for horocycle foliations, Israel J. Math. 26 (1977), 43-67.
    • (1977) Israel J. Math. , vol.26 , pp. 43-67
    • Bowen, R.1    Marcus, B.2
  • 7
    • 0012041865 scopus 로고
    • Advances in the theory of Riemann surfaces
    • Princeton University Press
    • C. J. Earle, Advances in the Theory of Riemann Surfaces, Annals of Mathematics Studies 66, Princeton University Press, 1971, pp. 119-130.
    • (1971) Annals of Mathematics Studies , vol.66 , pp. 119-130
    • Earle, C.J.1
  • 10
    • 0041112108 scopus 로고
    • Démonstration d'un théorème sur les fractions continues périodiques
    • Gauthier-Villars, Paris
    • E. Galois, Démonstration d'un théorème sur les fractions continues périodiques, in Écrits et mémoires mathématiques d'Évariste Galois, Gauthier-Villars, Paris, 1962, pp. 365-378.
    • (1962) Écrits et Mémoires Mathématiques D'évariste Galois , pp. 365-378
    • Galois, E.1
  • 11
    • 0001096985 scopus 로고
    • Quadratic differentials and foliations
    • J. Hubbard and H. Masur, Quadratic differentials and foliations, Acta Math. 142 (1979), 221-274.
    • (1979) Acta Math. , vol.142 , pp. 221-274
    • Hubbard, J.1    Masur, H.2
  • 13
    • 0002772850 scopus 로고
    • Interval exchange transformations
    • M. S. Keane, Interval exchange transformations, Math. Z. 141 (1975), 25-31.
    • (1975) Math. Z. , vol.141 , pp. 25-31
    • Keane, M.S.1
  • 14
    • 0003918560 scopus 로고
    • P. Nordhoff Ltd., Groningen, The Netherlands
    • A. Y. Khintchine, Continued Fractions, P. Nordhoff Ltd., Groningen, The Netherlands, 1963.
    • (1963) Continued Fractions
    • Khintchine, A.Y.1
  • 16
    • 0000742775 scopus 로고
    • Interval exchange transformations and measured foliations
    • H. Masur, Interval exchange transformations and measured foliations, Ann. of Math. 115 (1982), 169-200.
    • (1982) Ann. of Math. , vol.115 , pp. 169-200
    • Masur, H.1
  • 17
    • 0010833865 scopus 로고
    • An introduction to continued fractions
    • Diophantine Analysis, (J. Loxton and A. van der Poorten, eds.), Cambridge University Press
    • A. van der Poorten, An introduction to continued fractions, in Diophantine Analysis, (J. Loxton and A. van der Poorten, eds.), London Mathematical Society Lecture Note Series 109, Cambridge University Press, 1986, pp. 99-138.
    • (1986) London Mathematical Society Lecture Note Series , vol.109 , pp. 99-138
    • Van Der Poorten, A.1
  • 20
    • 84968476184 scopus 로고
    • On the geometry and dynamics of diffeomorphisms of surfaces
    • W. P. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. 19 (1988), 417-431.
    • (1988) Bull. Amer. Math. Soc. , vol.19 , pp. 417-431
    • Thurston, W.P.1
  • 21
    • 51249180903 scopus 로고
    • Interval exchange transformations
    • W. Veech, Interval exchange transformations, J. Analyse Math. 33 (1978), 222-272.
    • (1978) J. Analyse Math. , vol.33 , pp. 222-272
    • Veech, W.1
  • 22
    • 0000742776 scopus 로고
    • Gauss measures for transformations on the space of interval exchange maps
    • W. Veech, Gauss measures for transformations on the space of interval exchange maps, Ann. of Math. 115 (1982), 201-242.
    • (1982) Ann. of Math. , vol.115 , pp. 201-242
    • Veech, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.