A note on entropy and inner functions (Q1077585)

The author constructs an infinite Blaschke product whose boundary values on the unit circle define a transformation having infinite entropy, thus answering a question of \textit{Ch. Pommerenke} [Math. Ann. 256, 43-50 (1981; Zbl 0439.30021)]. The author conjectures that an inner function f has finite entropy if and only if f' is in the Nevanlinna class, and that in this case the entropy would be \((1/2\pi)\int^{2\pi}_{0}| f'(e^{i\theta})| d\theta.\)