Ergodic Theory for Markov Fibred Systems and Parabolic Rational Maps
Ergodic Theory for Markov Fibred Systems and Parabolic Rational Maps
A parabolic rational map of the Riemann sphere admits a nonatomic /¡-conformai measure on its Julia set where h = the HausdorfT dimension of the Julia set and satisfies 1/2 < h < 2 .With respect to this measure the rational map is conservative, exact and there is an equivalent …