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Title Frontiers in complex dynamics : in celebration of John Milnor's 80th birthday / edited by Araceli Bonifant, Mikhail Lyubich, and Scott Sutherland.

Published Princeton : Princeton University Press, [2014]


Location Call No. Status
Physical description xii, 787 pages : illustrations (colour, black and white) ; 26 cm.
Series Princeton Mathematical Series ; 51.
Princeton mathematical series ; 51.
Bibliography Includes bibliographical references and index.
Contents Part I One Complex Variable 13 -- Arithmetic of Unicritical Polynomial Maps / J. Milnor Milnor, J. 15 -- Les racines des composantes hyperboliques de M sont des quarts d'entiers algébriques / T. Bousch Bousch, T. 25 -- Dynamical cores of topological polynomials / A. Blokh Blokh, A., L. Oversteegen Oversteegen, L., R. Ptacek Ptacek, R., V. Timorin Timorin, V. 27 -- Quadratic dynatomic curves are smooth and irreducible / X. Buff Buff, X., Tan Lei Lei, Tan 49 -- Multicorns are not path connected / J. H. Hubbard Hubbard, J. H., D. Schleicher Schleicher, D. 73 -- Leading monomials of escape regions / J. Kiwi Kiwi, J. 103 -- Limiting behavior of Julia sets of singularly perturbed rational maps / R. L. Devaney Devaney, R. L. 121 -- On (non-)local connectivity of some Julia sets / A. Dezotti Dezotti, A., P. Roesch Roesch, P. 135 -- Perturbations of weakly expanding critical orbits / G. Levin Levin, G. 163 -- Unmating of rational maps: Sufficient criteria and examples / D. Meyer Meyer, D. 197 -- A framework toward understanding the characterization of holomorphic dynamics / Y. Jiang Jiang, Y. 235 -- Part II One Real Variable 259 -- Metric stability for random walks (with applications in renormalization theory) / C. G. Moreira Moreira, C. G., D. Smania Smania, D. 261 -- Milnor's conjecture on monotonicity of topological entropy: Results and questions / S. Van Strien Strien, S. Van 323 -- Entropy in dimension one / W. P. Thurston Thurston, W. P. 339 -- Part III Several Complex Variables 385 -- On Écalle-Hakim's theorems in holomorphic dynamics / M. Arizzi Arizzi, M., J. Raissy Raissy, J. 387 -- Index theorems for meromorphic self-maps of the projective space / M. Abate Abate, M. 451 -- Dynamics of automorphisms of compact complex surfaces / S. Cantat Cantat, S. 463 -- Bifurcation currents and equidistribution in parameter space / R. Dujardin Dujardin, R. 515 -- Part IV Laminations and Foliations 567 -- Entropy for hyperbolic Riemann surface laminations I / T.-C. Dinh Dinh, T.-C., V.-A. Nguyên Nguyên, V.-A., N. Sibony Sibony, N. 569 -- Entropy for hyperbolic Riemann surface laminations II / T.-C. Dinh Dinh, T.-C., V.-A. Nguyên Nguyên, V.-A., N. Sibony Sibony, N. 593 -- Intersection theory for ergodic solenoids / V. Muñoz Muñoz, V., R. Pérez-Marco Pérez-Marco, R. 623 -- Invariants of four-manifolds with flows via cohomological field theory / H. García-Compeán García-Compeán, H., R. Santos-Silva Santos-Silva, R., A. Verjovsky Verjovsky, A. 645 -- Color Plates C-1 -- Part V Geometry and Algebra 677 -- Two papers which changed my life: Milnor's seminal work on flat manifolds and bundles / W. Goldman Goldman, W. 679 -- Milnor's problem on the growth of groups and its consequences / R. Grigorchuk Grigorchuk, R. 705.
Other author Milnor, John W. (John Willard), 1931- honouree.
Bonifant, Araceli, 1963- editor.
Lyubich, Mikhail, 1959- editor.
Sutherland, Scott, 1959- editor.
Subject Dynamics.
Differentiable dynamical systems.
ISBN 9780691159294