Frontiers in Complex Dynamics

*Frontmatter, pg. i*Contents, pg. v*Preface, pg. xi*Introduction, pg. 1*Arithmetic of Unicritical Polynomial Maps, pg. 15*Les racines des composantes hyperboliques de M sont des quarts d'entiers algebriques, pg. 25*Dynamical cores of topological polynomials, pg. 27*The quadratic dynatomic curves are smooth and irreducible, pg. 49*Multicorns are not path connected, pg. 73*Leading monomials of escape regions, pg. 103*Limiting behavior of Julia sets of singularly perturbed rational maps, pg. 121*On (non-)local connectivity of some Julia sets, pg. 135*Perturbations of weakly expanding critical orbits, pg. 163*Unmating of rational maps: Sufficient criteria and examples, pg. 197*A framework toward understanding the characterization of holomorphic dynamics, pg. 235*Metric stability for random walks (with applications in renormalization theory), pg. 261*Milnor's conjecture on monotonicity of topological entropy: Results and questions, pg. 323*Entropy in dimension one, pg. 339*On Ecalle-Hakim's theorems in holomorphic dynamics, pg. 387*Index theorems for meromorphic self-maps of the projective space, pg. 451*Dynamics of automorphisms of compact complex surfaces, pg. 463*Bifurcation currents and equidistribution in parameter space, pg. 515*Entropy for hyperbolic Riemann surface laminations I, pg. 569*Entropy for hyperbolic Riemann surface laminations II, pg. 593*Intersection theory for ergodic solenoids, pg. 623*Invariants of four-manifolds with flows via cohomological field theory, pg. 645*Color Plates, pg. C-1*Two papers which changed my life: Milnor's seminal work on at manifolds and bundles, pg. 679*Milnor's problem on the growth of groups and its consequences, pg. 705*Contributors, pg. 775*Index, pg. 779