caa a22 4500 386377871 CHVBK 20180307112028.0 cr unu---uuuuu 161130e198903 xx s 000 0 eng 10.1017/S0143385700004867 doi S0143385700004867 pii (NATIONALLICENCE)cambridge-10.1017/S0143385700004867 Martin N.F.G. Department of Mathematics, Math-Astronomy Building, University of Virginia, Charlottesville, VA 22903, USA On ergodic properties of restrictions of inner functions [Elektronische Daten] [N.F.G. Martin] We consider inner functions on the unit disk which have a finite number of singularities on the unit circle. The restriction of such functions to the circle are maps onto the circle. We give sufficient conditions that these restrictions are exact endomorphisms whose natural extensions are Bernoulli and that the entropy is given by Rohlin's formula, We also give the entropy in closed form if ƒ' is in the Nevalinna class N. An example is considered. In the last section we show that if two restrictions are metrically isomorphic, they are diffeomorphic. Copyright © Cambridge University Press 1989 Ergodic Theory and Dynamical Systems Cambridge University Press 9/1(1989-03), 137-151 0143-3857 9:1<137 1989 9 ETS https://doi.org/10.1017/S0143385700004867 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0143385700004867 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Martin N.F.G. Department of Mathematics, Math-Astronomy Building, University of Virginia, Charlottesville, VA 22903, USA NATIONALLICENCE 773 0- Ergodic Theory and Dynamical Systems Cambridge University Press 9/1(1989-03), 137-151 0143-3857 9:1<137 1989 9 ETS CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge