Table of Contents

*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

About the Author

Araceli Bonifant is associate professor of mathematics at the University of Rhode Island. Misha Lyubich is director of the Institute for Mathematical Sciences and professor of mathematics at Stony Brook University. Scott Sutherland is associate professor of mathematics at Stony Brook University.