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- W1998388045 abstract "Abstract 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." @default.
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- W1998388045 date "1989-03-01" @default.
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- W1998388045 title "On ergodic properties of restrictions of inner functions" @default.
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- W1998388045 doi "https://doi.org/10.1017/s0143385700004867" @default.
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