Ergodic Theory for Inner Functions of the Upper Half Plane
Publications des séminaires de mathématiques et informatique de Rennes, Séminaire de probabilités II, no. 3 (1977), article no. 2, 26 p. 
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     author = {Aaronson, Jon},
     title = {Ergodic {Theory} for {Inner} {Functions} of the {Upper} {Half} {Plane}},
     journal = {Publications des s\'eminaires de math\'ematiques et informatique de Rennes},
     eid = {2},
     pages = {1--26},
     publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes},
     number = {3},
     year = {1977},
     language = {en},
     url = {http://archive.numdam.org/item/PSMIR_1977___3_A2_0/}
}
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Aaronson, Jon. Ergodic Theory for Inner Functions of the Upper Half Plane. Publications des séminaires de mathématiques et informatique de Rennes, Séminaire de probabilités II, no. 3 (1977), article  no. 2, 26 p. http://archive.numdam.org/item/PSMIR_1977___3_A2_0/

[1] J. Aaronson : Rational Ergodicity - Israel Journal of Mathematics 27 2 p.93-123 (1977). | MR | Zbl

[2] R. Adler and B. Weiss : The ergodic, infinite measure preserving transformation of Boole - Israel Journal of Mathematics 16 3 p.263-278 (1973). | MR | Zbl

[3] S. Foguel : The ergodic theory of Markov processes - New York, Van-Nostrand Reinhold (1969). | MR | Zbl

[4] S. Foguel and M. Lin : Some ratio limit theorems for Markov operators. Z. Wahrscheinlichkeitstheorie 231 p.55-66. | MR | Zbl

[5] J.H.B. Kemperman : 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] G. Letac : Which functions preserve Cauchy laws, to appear in P.A.M.S. | MR | Zbl

[7] T. Li and F. Schweiger : The generalised Boole transformation is ergodic - preprint. | Zbl

[8] M. Lin : Mixing for Markov operators - Z. Wahrscheinlichkeits-theorie 19 3 p.231-243 (1971 ). | MR | Zbl

[9] W. Rudin : Real and Complex analysis - Mc Graw Hill (1966). | MR | Zbl

[10] F. Schweiger : Zahlentheoretische transformationen mit σ-endlichen mass. S-Ber. Öst. Akad. Wiss. Math. - naturw. K.l. Abt. II 185 p.95-103 (1976). | MR | Zbl

[11] F. Schweiger : tan x is ergodic - to appear in P.A.M.S. | MR | Zbl

[12] K. Yosida : Functional analysis - Springer, Berlin (1968). | MR

[13] A. Denjoy : Fonctions contractent le cercle Z 1 ; C.R.Acad. Sci. Paris 182 (1926) pp 255-257 | JFM

[14] M. Heins : On the pseudo periods of the weierstrass Zeta function : Nagaoya Math. Journal 30 (1967) pp113-119 | MR | Zbl

[15] J.H. Neuwirth : Ergodicity of some mapping of the circle and the line : Preprint | MR | Zbl

[16] F. Schweiger and M. Thaler : Ergodische Eigenschaften einer Klass reellen Transformationen : preprint. | MR

[17] M. Tsuji : Potential theory in modern function theory : Maruzen, Tokyo (1959). | MR | Zbl

[18] J. Wolff : Sur l'iteraction des fonctions holomorphes dans une region : CR.Acad.Sci. Paris, 182 (1926) p. 42-43 | JFM