Karthik Visweswariah, Sanjeev Kulkarni, et al.
IEEE International Symposium on Information Theory - Proceedings
Ergodic properties of rational maps are studied, generalising the work of F. Ledrappier. A new construction allows for simpler proofs of stronger results. Very general conformal measures are considered. Equivalent conditions are given for an ergodic invariant probability measure with positive Lyapunov exponent to be absolutely continuous with respect to a general conformal measure. If they hold, we can construct an induced expanding Markov map with integrable return time which generates the invariant measure. © 2012 American Mathematical Society.
Karthik Visweswariah, Sanjeev Kulkarni, et al.
IEEE International Symposium on Information Theory - Proceedings
M. Shub, B. Weiss
Ergodic Theory and Dynamical Systems
John S. Lew
Mathematical Biosciences
F.M. Schellenberg, M. Levenson, et al.
BACUS Symposium on Photomask Technology and Management 1991