- Title Pages
Arithmetic of Unicritical Polynomial Maps
- Les racines des composantes hyperboliques de M sont des quarts d'entiers algébriques
Dynamical cores of topological polynomials
The quadratic dynatomic curves are smooth and irreducible
- Multicorns are not path connected
Leading monomials of escape regions
Limiting behavior of Julia sets of singularly perturbed rational maps
- On (non-)local connectivity of some Julia sets
Perturbations of weakly expanding critical orbits
- Unmating of rational maps: Sufficient criteria and examples
- A framework toward understanding the characterization of holomorphic dynamics
- Metric stability for random walks (with applications in renormalization theory)
- Milnor's conjecture on monotonicity of topological entropy: Results and questions
- Entropy in dimension one
On Ecalle-Hakim 's theorems in holomorphic dynamics
Index theorems for meromorphic self-maps of the projective space
- Dynamics of automorphisms of compact complex surfaces
- Bifurcation currents and equidistribution in parameter space
- Entropy for hyperbolic Riemann surface laminations I
- Entropy for hyperbolic Riemann surface laminations II
Intersection theory for ergodic solenoids
- Invariants of four-manifolds with flows via cohomological field theory
Two papers which changed my life: Milnor's seminal work on flat manifolds and bundles
Mil nor's problem on the growth of groups and its consequences
- (p.1) Introduction
- Frontiers in Complex Dynamics
- Araceli Bonifant, Mikhail Lyubich, Scott Sutherland, Araceli Bonifant, Mikhail Lyubich, Scott Sutherland
- Princeton University Press
This introductory chapter is an overview into holomorphic dynamics—one of the earliest branches of dynamical systems which is not part of classical mechanics. Holomorphic dynamics studies iterates of holomorphic maps on complex manifolds. As a prominent field in its own right, holomorphic dynamics was founded early in the twentieth century, but was almost completely forgotten for sixty years, only to be revived in the early 1980s partly due to the efforts of John Milnor. The field of holomorphic dynamics is rich in interactions with many branches of mathematics; such as complex analysis, geometry, topology, number theory, algebraic geometry, combinatorics, and measure theory. This chapter briefly explores the extent of such interplay.
Princeton Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.
If you think you should have access to this title, please contact your librarian.
To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us.