Fractions continues multidimensionnelles et lois stables
Bulletin de la Société Mathématique de France, Volume 124 (1996) no. 1, pp. 97-139.
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Broise, Anne. Fractions continues multidimensionnelles et lois stables. Bulletin de la Société Mathématique de France, Volume 124 (1996) no. 1, pp. 97-139. doi : 10.24033/bsmf.2277. http://archive.numdam.org/articles/10.24033/bsmf.2277/

[Be] Bernstein (L.). - The Jacobi-Perron algorithm, its theory and application, Lecture Notes in Mathematics 207, Springer 1971. | MR | Zbl

[B-G-T] Bingham (N.H.), Goldie (C.M.) et Teugels (J.-L.). - Regular variation. - Encyclopedia of Mathematics and its Applications, 1987. | MR | Zbl

[Br] Breiman (L.). - Probability. - Addison-Wesley, 1968. | MR | Zbl

[Bi] Birkhoff (G.). - Extensions of Jentzsch's theorem, Trans. Amer. Math. Soc., t. 104, 1965, p. 507-512. | MR

[Bre] Brentjes (A.J.). - Multi-dimensional continued fraction algorithms. - Mathematical centre tracts 145, Mathematisch Centrum, Amsterdam, 1981. | MR | Zbl

[B-K] Busemann (H.) and Kelly (P.). - Projective geometry and projective metrics. - Academic Press, New York, 1953. | MR | Zbl

[D-S] Dunford (N.) et Schwartz (J.T.). - Linear operators, part I. - Interscience New York, 1958. | Zbl

[F] Feller (W.). - An Introduction to probability theory and its applications Vol. II. - Willey, New York, 1966. | MR | Zbl

[G-H] Guivarc'H (Y.) et Hardy (J.). - Théorèmes limites pour une classe de chaîne de Markov et applications aux difféomorphismes d'Anosov, Ann. Inst. H. Poincaré, t. 24, 1988, p. 73-98. | EuDML | Numdam | MR | Zbl

[G-L] Guivarc'H (Y.) and Le Jan (Y.). - Asymptotic winding of the geodesic flow on modular surfaces and continuous fractions, Ann. Sci. École Norm. Sup., t. 26, 1993, p. 23-50. | Numdam | MR | Zbl

[Kh] Khintchine (A. Ya.). - Continued Fractions. - The University of Chicago Press, Chicago, 1964. | Zbl

[K] Krasnolselskii (M.). - Positive solutions of operator equations. - Groningen Noodshoff, 1964.

[K-R] Krein (M.G.) and Rutman (M.A.). - Linear operators leaving invariant a cone in a Banach space, Translations A.M.S., series one, vol. 10, Functional Analysis and Measure Theory, p. 199-325, 1962.

[L1] Lévy (P.). - Théorie de l'addition des variables aléatoires. - Gauthier-Villars, Paris, 1937. | JFM | Zbl

[L2] Lévy (P.). - Sur le développement en fraction continue d'un nombre choisi au hasard, Compositio Math., t. 3, 1936, p. 286-303. | JFM | Numdam | Zbl

[Ma] Mayer (D.). - Approach to equilibrium for locally expanding maps in Rk, Comm. Math. Phys., t. 95, 1984, p. 1-15. | MR | Zbl

[Mo] Montel (P.). - Leçons sur les familles normales de fonctions analytiques et leur application, chap. I et IX. - Gauthier-Villar Paris, 1927. | JFM

[R] Rousseau-Egèle (J.). - Un théorème de la limite locale pour une classe de transformations dilatantes et monotones par morceaux, Ann. Probab., t. 3, 1983, p. 772-788. | MR | Zbl

[S] Schweiger (F.). - The metrical theory of Jacobi-Perron algorithm, Lecture Notes in Mathematics 334, Springer 1973. | MR | Zbl

[Z] Zygmund (A.). - Trigonometrical series, vol. I. - Second edition, Cambridge University Press, 1959.

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