Ergodic and Bernoulli properties of analytic maps of complex projective space
Ergodic and Bernoulli properties of analytic maps of complex projective space
We examine the measurable ergodic theory of analytic maps $F$ of complex projective space. We focus on two different classes of maps, Ueda maps of ${\mathbb P}^{n}$, and rational maps of the sphere with parabolic orbifold and Julia set equal to the entire sphere. We construct measures which are invariant, …