@article{AIHPB_1978__14_3_233_0, author = {Aaronson, Jon}, title = {Ergodic theory for inner functions of the upper half plane}, journal = {Annales de l'institut Henri Poincar\'e. Section B. Calcul des probabilit\'es et statistiques}, pages = {233--253}, publisher = {Gauthier-Villars}, volume = {14}, number = {3}, year = {1978}, mrnumber = {508928}, zbl = {0378.28009}, language = {en}, url = {http://www.numdam.org/item/AIHPB_1978__14_3_233_0/} }
TY - JOUR AU - Aaronson, Jon TI - Ergodic theory for inner functions of the upper half plane JO - Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques PY - 1978 SP - 233 EP - 253 VL - 14 IS - 3 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPB_1978__14_3_233_0/ LA - en ID - AIHPB_1978__14_3_233_0 ER -
%0 Journal Article %A Aaronson, Jon %T Ergodic theory for inner functions of the upper half plane %J Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques %D 1978 %P 233-253 %V 14 %N 3 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPB_1978__14_3_233_0/ %G en %F AIHPB_1978__14_3_233_0
Aaronson, Jon. Ergodic theory for inner functions of the upper half plane. Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 14 (1978) no. 3, pp. 233-253. http://www.numdam.org/item/AIHPB_1978__14_3_233_0/
[1] Rational Ergodicity. Israel Journal of Mathematics, t. 27, 2, 1977, p. 93-123. | MR | Zbl
,[2] The ergodic, infinite measure preserving transformation of Boole. Israel Journal of Mathematics, t. 16, 3, 1973, p. 263-278. | MR | Zbl
and ,[3] The ergodic theory of Markov processes. New York, Van-Nostrand Reinhold, 1969. | MR | Zbl
,[4] Some ratio limit theorems for Markov operators. Z. Wahrscheinlichkeitstheorie, t. 231, p. 55-66. | MR | Zbl
and ,[5] The ergodic behaviour of a class of real transformations. Stochastic Processes and related topics. Proceedings of the summer research institute on statistical inference for stochastic processes (Editor Puri), Indiana University, p. 249-258, Academic Press, 1975. | MR | Zbl
,[6] Which functions preserve Cauchy laws. P. A. M. S. t. 67, 2,1977, p. 277-286. | MR | Zbl
,[7] The generalized Boole transformation is ergodic. Preprint.
and ,[8] Mixing for Markov operators. Z. Wahrscheinlichkeitstheorie, t. 19, 3, 1971, p. 231-243. | MR | Zbl
,[9] Real and Complex analysis. McGraw Hill, 1966. | MR | Zbl
,[10] Zahlentheoretische transformation mit σ-endlichen mass. S.-Ber. Ost. Akad. Wiss., Math.-naturw. K. l., II. Abt., t. 185, 1976, p. 95-103. | MR | Zbl
,[11] Tan x is ergodic. To appear in P. A. M. S. | MR | Zbl
,[12] Functional analysis. Springer, Berlin, 1968. | MR
,[13] Fonctions contractent le cercle | Z | < 1, C. R. Acad. Sci. Paris, t. 182, 1926, p. 255-257.
,[14] On the pseudo periods of the weierstrass Zeta function, Nagaoya Math. Journal, t. 30, 1967, p. 113-119. | MR | Zbl
,[15] Ergodicity of some mapping of the circle and the line, preprint. | MR
,[16] Ergodische Eigenschaften einer Klass reellen Transformationen, preprint. | MR
and ,[17] Potential theory in modern function theory, Maruzen, Tokyo, 1959. | MR | Zbl
,[18] Sur l'itération des fonctions holomorphes dans une region, C. R. Acad. Sci. Paris, t. 182, 1926, p. 42-43. | JFM
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