Mikhail Lyubich

Polynomial diffeomorphisms of C2. IV: The measure of maximal entropy and laminar currents.

This paper concerns the dynamics of polynomial automorphisms of

Almost every real quadratic map is either regular or stochastic

{\bf C}^2

Distribution of periodic points of polynomial diffeomorphisms of C2

. One can associate to such an automorphism two currents

Hausdorff dimension and conformal measures of Feigenbaum Julia sets

\mu^\pm

Holomorphic dynamics and renormalization : a volume in honour of John Milnor's 75th birthday

and the equilibrium measure

A note on hyperbolic leaves and wild laminations of rational functions

\mu=\mu^+\wedge\mu^-

Frontiers in Complex Dynamics: In Celebration of John Milnor's 80th Birthday

. In this paper we study some geometric and dynamical properties of these objects. First, we characterize

Examples of Feigenbaum Julia sets with small Hausdorff dimension

\mu

Partially Hyperbolic Dynamics, Laminations, and Teichmüller Flow

as the unique measure of maximal entropy. Then we show that the measure

On the Borderline of Real and Complex Dynamics

\mu