@article{AIHPA_1986__44_3_315_0, author = {Moussa, Pierre}, title = {It\'eration des polyn\^omes et propri\'et\'es d'orthogonalit\'e}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {315--325}, publisher = {Gauthier-Villars}, volume = {44}, number = {3}, year = {1986}, mrnumber = {846471}, zbl = {0607.30024}, language = {fr}, url = {http://www.numdam.org/item/AIHPA_1986__44_3_315_0/} }
Moussa, Pierre. Itération des polynômes et propriétés d'orthogonalité. Annales de l'I.H.P. Physique théorique, Tome 44 (1986) no. 3, pp. 315-325. http://www.numdam.org/item/AIHPA_1986__44_3_315_0/
[1] Mémoire sur l'itération des fonctions rationnelles. J. Math. Pur. Appl., t. 7, 1918, p. 503-529; , Sur les équations fonctionnelles, Bull. Soc. Math. France, t. 47, 1919, p. 161-271; t. 48, 1920, p. 33-94, t. 48, 1920, p. 208- 314. | JFM | MR
,[2] Fractal aspects of the iteration of z → λz(1 - z) for complex λ and z, Annals N. Y. Acad. Sci., t. 357, 1980, p. 249-259; On the quadratic mapping z → z2 - μ for complex μ and z, the fractal structure of its M set, and scaling, Physica, t. 7D, 1983, p. 224-239. | MR | Zbl
,[3] Itération des fonctions analytiques complexes, C. R. Acad. Sci., Paris, Sér. I, t. 294, 1982, p. 301-303 ; Quasi conformal homeomorphisms and dynamics I, II, III, preprint IHES, 1982-1983. | MR | Zbl
,[4] Itération des polynômes quadratiques complexes, C. R. Acad. Sci. Paris, Sér. I, t. 294, 1982, 123-126; , Systèmes dynamiques holomorphes. Séminaire Bourbaki, n° 599, Astérisque, t. 105-106, 1983, p. 39-63. | EuDML | Numdam | MR | Zbl
, ,[5] Complex analytical dynamics on the Riemann sphere, Bull. Amer. Math. Soc. t. 11, 1984, p. 85-141. | MR | Zbl
,[6] Invariant sets under iteration of rational functions, Ark. Mat., t. 6, 1965, p. 103-144; , Entropy properties of rational endomorphisms of the Riemann sphere, Ergod. Th. Dynam. Syst., t. 3, 1983, p. 351-385. | MR | Zbl
,[7] Polynômes orthogonaux sur des ensembles de Cantor et itérations des transformations quadratiques, C. R. Acad. Sci, Paris, Sér. I, t. 293, 1981, p. 705-708. | MR | Zbl
, , ,[8] Orthogonal polynomials on a family of Cantor sets and the problem of iterations of quadratic mappings, Lett. Math. Phys., t. 6, 1982, p. 123-140. | MR | Zbl
, , ,[9] Orthogonality properties of iterated polynomial mappings, Comm. Math. Phys., t. 88, 1983, p. 503-529. | MR | Zbl
, ,[10] Chaotic states of almost periodic Schrôdinger operators, Phys. Rev. Lett., t. 49, 1982, p. 701-704. | MR
, , ,[11] A family of almost periodic Schrôdinger operators, Physica, t. 124A, 1984, p. 61-78. | MR | Zbl
, , ,[12] On the invariant sets of a family of quadratic maps. Commun. Math. Phys., t. 88, 1983, p. 479-501. | MR | Zbl
, , ,[13] Orthogonal polynomials associated with invariant measures on Julia sets, Bull. Amer. Math. Soc., t. 7, 1982, p. 381-384. | MR | Zbl
, , ,[14] Infinite dimensional Jacobi matrices associated with Julia sets, Proc. Amer. Math. Soc., t. 88, 1983, p. 625-630. | MR | Zbl
, , ,[15] Geometry, electrostatic measures and orthogonal polynomials on Julia sets for polynomials, Ergod. Th. Dynam. Sys., t. 3, 1983, p. 509-520. | MR | Zbl
, , ,[16] Orthogonal Polynomials, Amer. Math. Soc. Colloquium Publ., t. 23, 1939. | JFM | Zbl
,[17] Essentials of Pade Approximants, Academic Press, N. Y., 1975. | Zbl
,[18] Some connections between ergodic theory and the iteration of polynomials, Ark, Mat., t. 8, 1968, p. 25-32. | MR | Zbl
, ,[19] Mellin transforms associated with Julia sets and physical applications, J. Stat. Phys., t. 34, 1984, p. 75-110; Complex spectral dimensionality on fractal structures, J. Physique Lettres, t. 44, 1983, p. L977- L982. | MR | Zbl
, , ,[20] Un opérateur de Schrôdinger presque périodique à spectre singulier associé aux itérations d'un polynôme, Comptes Rendus de la RCP 25 du CNRS, t. 34, 1984, p. 43-66, Publ. IRMA, Strasbourg.
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