Frontiers in Complex Dynamics: In Celebration of John Milnor's 80th Birthday
Frontiers in Complex Dynamics: In Celebration of John Milnor's 80th Birthday
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Abstract
John Milnor, best known for his work in differential topology, K-theory, and dynamical systems, is one of only three mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize, and is the only one to have received all three of the Leroy P. Steele prizes. In honor of his eightieth birthday, this book gathers together surveys and papers inspired by Milnor's work, from distinguished experts examining not only holomorphic dynamics in one and several variables, but also differential geometry, entropy theory, and combinatorial group theory. The book contains the last paper written by William Thurston, as well as a short paper by John Milnor himself. Introductory sections put the papers in mathematical and historical perspective, color figures are included, and an index facilitates browsing.
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Front Matter
- Introduction
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Part I One Complex Variable
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Arithmetic of Unicritical Polynomial Maps
John Milnor
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Les racines des composantes hyperboliques de M sont des quarts d'entiers algébriques
Thierry Bousch
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Dynamical cores of topological polynomials
Alexander Blokh and others
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The quadratic dynatomic curves are smooth and irreducible
Xavier Buff andTan Lei
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Multicorns are not path connected
John Hamal Hubbard andDierk Schleicher
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Leading monomials of escape regions
Jan Kiwi
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Limiting behavior of Julia sets of singularly perturbed rational maps
Robert L. Devaney
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On (non-)local connectivity of some Julia sets
Alexandre Dezotti andPascale Roesch
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Perturbations of weakly expanding critical orbits
Genadi Levin
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Unmating of rational maps: Sufficient criteria and examples
Daniel Meyer
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A framework toward understanding the characterization of holomorphic dynamics
Yunping Jiang
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Arithmetic of Unicritical Polynomial Maps
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Part II One Real Variable
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Part III Several Complex Variables
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On Ecalle-Hakim 's theorems in holomorphic dynamics
Marco Arizzi andJasmin Raissy
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Index theorems for meromorphic self-maps of the projective space
Marco Abate
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Dynamics of automorphisms of compact complex surfaces
Serge Cantat
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Bifurcation currents and equidistribution in parameter space
Romain Dujardin
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On Ecalle-Hakim 's theorems in holomorphic dynamics
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Part IV Laminations and Foliations
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Entropy for hyperbolic Riemann surface laminations I
Tien-Cuong Dinh and others
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Entropy for hyperbolic Riemann surface laminations II
Tien-Cuong Dinh and others
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Intersection theory for ergodic solenoids
Vicente Muñoz andRicardo Pèrez-Marco
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Invariants of four-manifolds with flows via cohomological field theory
Hugo García-Compeân and others
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Entropy for hyperbolic Riemann surface laminations I
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Part V Geometry and Algebra
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End Matter
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