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Brocot sequences and random walks in SL(2,IR)

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Probability Measures on Groups VII

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1064))

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References

  1. S.D. Chatterji. Masse, die von regelmässigen Kettenbrüchen induziert sind, Math. Ann. vol.164 (1966), 113–117.

    Article  MathSciNet  MATH  Google Scholar 

  2. A. Denjoy. Sur une fonction réelle de Minkowski, J. Math. pures et appl., vol.17 (1938), 105–151.

    MATH  Google Scholar 

  3. H. Furstenberg. Non commuting random products, Trans. Amer. Math. Soc. vol.108 (1963), 377–428.

    Article  MathSciNet  MATH  Google Scholar 

  4. A. Kirillov, A. Gvidiani. Théorèmes et Problèmes d'Analyse fonctionnelle, Editions Mir (1982 for the French translation), Moscow.

    Google Scholar 

  5. F. Ledrappier. Quelques propriétés des exposants caractéristiques, Cours de l'Ecole d'Eté de Saint Flour (to appear in Springer Verlag Lectures Notes).

    Google Scholar 

  6. G. Letac, V. Seshadri. A characterization of the generalized inverse Gaussian distribution by continued fractions, Z. Wahrscheinlichkeits-theorie und verw. Gebiete, Vol.62 (1983), 485–489.

    Article  MathSciNet  MATH  Google Scholar 

  7. E. Lucas. Théorie des Nombres, Tome premier (1891), Librairie Joseph Gibert, Paris.

    Google Scholar 

  8. H. Minkowski. Zur Geometrie der Zahlen, in Verhand lungen des III. Internationalen Mathematiker Krongresses in Heidelberg (1904), 171–172.

    Google Scholar 

  9. C.D. Olds. Continued fractions, Vol.9 (1963), New Mathematical Library, Mathematical Association of America, Yale.

    MATH  Google Scholar 

  10. Problèmes du concours 1962 d'Agrégation Masculine de Mathématiques, épreuve de Mathématiques élémentaires et spéciales, published in Bulletin de l'Association des Professeurs de Mathématiques de l'Enseignement Public, Vol.42, no225 (1962), 103–106.

    Google Scholar 

  11. G. de Rham. Sur une courbe plane, J. Math. pures et appl., Vol.35 (1956), 25–42.

    MathSciNet  MATH  Google Scholar 

  12. G. de Rham. Sur quelques courbes définies par des équations fonctionnelles, Univ. c. Politec. Torino, Rend. Sem. Math. Vol.16 (1956–57), 101–103.

    Google Scholar 

  13. G. de Rham. Sur les courbes limites de polygônes définies par trisection, L'enseignement Mathématique, Vol.2 no5 (1959), 29–43.

    MATH  Google Scholar 

  14. F. Schweiger. Eine Bemerkung zu einer Arbeit von D.S. Chatterji Matematicky Časopis, Vol.19 (1969), 89–91.

    MathSciNet  MATH  Google Scholar 

  15. M. Shrader-Frechette. Modified Farey sequences and continued fractions, Mathematics Magazine, Vol.54, no2 (1981), 60–63.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Laboratoire de Statistique et Probabilités E.R.A.-C.N.R.S. 591, Université Paul Sabatier, 118, route de Narbonne, 31062, Toulouse Cedex, France

    Philippe Chassaing, Gérard Letac & Marianne Mora

Authors
  1. Philippe Chassaing
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  2. Gérard Letac
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  3. Marianne Mora
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Herbert Heyer

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© 1984 Springer-Verlag

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Chassaing, P., Letac, G., Mora, M. (1984). Brocot sequences and random walks in SL(2,IR). In: Heyer, H. (eds) Probability Measures on Groups VII. Lecture Notes in Mathematics, vol 1064. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073632

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  • DOI: https://doi.org/10.1007/BFb0073632

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13341-4

  • Online ISBN: 978-3-540-38874-6

  • eBook Packages: Springer Book Archive

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