| Description |
1 online resource (xii, 787 pages) : illustrations |
| Series |
Princeton mathematical series ; 51 |
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Princeton mathematical series ; 51.
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| Contents |
One complex variable: Arithmetic of unicritical polynomial maps / J. Milnor -- Les racines des composantes hyperboliques de M sont des quarts d'entiers algébriques / T. Bousch -- Dynamical cores of topological polynomials / A. Blokh, L. Oversteegen, R. Ptacek, and V. Timorin -- The quadratic dynatomic curves are smooth and irreducible / X. Buff and Tan Lei -- Multicorns are not path connected / J.H. Hubbard and D. Schleicher -- Leading monomials of escape regions / J. Kiwi -- Limiting behavior of Julia sets of singularly perturbed rational maps / R.L. Devaney -- On (non- )local connectivity of some Julia sets / A. Dezotti and P. Roesch -- Perturbations of weakly expanding critical orbits / G. Levin -- Unmating of rational maps : sufficient criteria and examples / D. Meyer -- A framework toward understanding the characterization of holomorphic dynamics / Y. Jiang -- One real variable : Metric stability for random walks (with applications in renormalization theory) / C.G. Moreira and D. Smania -- Milnor's conjecture on monotonicity of topological entropy : results and questions / S. van Strien -- Entropy in dimension one / W.P. Thurston -- Several complex variables -- On Écalle-Hakim's theorems in holomorphic dynamics / M. Arizzi and J. Raissy -- Index theorems for meromorphic self-maps of the projective space / M. Abate -- Dynamics of automorphisms of compact complex surfaces / S. Cantat -- Bifurcation currents and equidistribution in parameter space / R. Dujardin -- Laminations and foliations : entropy for hyperbolic Riemann surface laminations I / T.-C. Dinh, V.-A. Nguyên and N. Sibony -- Entropy for hyperbolic Riemann surface laminations II / T.-C. Dinh, V.-A. Nguyên and N. Sibony -- tIntersection theory for ergodic solenoids / V. Muñoz and R. Pérez-Marco -- Invariants of four-manifolds with flows via cohomological field theory / H. García-Compeán, R. Santos-Silva and A. Verjovsky -- Geometry and algebra : two papers which changed my life : Milnor's seminal work on flat manifolds and bundles / W. Goldman -- Milnor's problem on the growth of groups and its consequences / R. Grigorchuk |
| Summary |
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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
In English |
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Print version record |
| Subject |
Functions of complex variables.
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Holomorphic mappings.
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Riemann surfaces.
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MATHEMATICS -- Topology.
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Functions of complex variables
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Holomorphic mappings
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Riemann surfaces
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| Genre/Form |
Electronic book
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Festschriften
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Festschriften.
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| Form |
Electronic book
|
| Author |
Milnor, John W. (John Willard), 1931- honouree.
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Bonifant, Araceli, 1963- editor.
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Lyubich, Mikhail, 1959- editor.
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Sutherland, Scott, editor.
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| ISBN |
9781306456531 |
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1306456533 |
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9781400851317 |
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1400851319 |
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