
Frontiers in Complex Dynamics
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The contributors are Marco Abate, Marco Arizzi, Alexander Blokh, Thierry Bousch, Xavier Buff, Serge Cantat, Tao Chen, Robert Devaney, Alexandre Dezotti, Tien-Cuong Dinh, Romain Dujardin, Hugo García-Compeán, William Goldman, Rotislav Grigorchuk, John Hubbard, Yunping Jiang, Linda Keen, Jan Kiwi, Genadi Levin, Daniel Meyer, John Milnor, Carlos Moreira, Vincente Muñoz, Viet-Anh Nguyên, Lex Oversteegen, Ricardo Pérez-Marco, Ross Ptacek, Jasmin Raissy, Pascale Roesch, Roberto Santos-Silva, Dierk Schleicher, Nessim Sibony, Daniel Smania, Tan Lei, William Thurston, Vladlen Timorin, Sebastian van Strien, and Alberto Verjovsky.
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Content
- Frontmatter,
- Contents,
- Preface,
- Introduction,
- 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 Écalle-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,
- Color Plates,
- Two papers which changed my life: Milnor's seminal work on at manifolds and bundles,
- Milnor's problem on the growth of groups and its consequences,
- Contributors,
- Index,
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