Measured solenoidal Riemann surfaces and holomorphic dynamics
Measured solenoidal Riemann surfaces and holomorphic dynamics
We study, from a measure theoretic point of view, the lamination structure on the inverse limit space lim(C, f) for an arbitrary rational map f on the sphere C. It turns out that there is an ergodic holomorphic foliated dynamical object C, namely a self mapping of a measured solenoidal …