Leseprobe
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Frontiers in Complex Dynamics
Scott Sutherland, Araceli Bonifant, Misha Lyubich, et al.
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
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. This collection will be useful to students and researchers for decades to come.
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.
Kundenbewertungen
Sierpinski gaskets, escape regions, holomorphic maps, mating, smoothness, K-theory, periodic objects, rational maps, polynomials, decomposition, topological polynomials, dynamical systems, Maldelbrot set, integral closure, leading monomials, complex manifolds, antiholomorphic unicritical polynomials, periodic orbits, periodic critical orbit, complex polynomials, external rays, asymptotic behavior, critical objects, entropy theory, holomorphic dynamics studies, unbounded hyperbolic components, transversality theory, mathematics, unmating, quadratic polynomials, kneading sequences, dynamical derivatives, geometrically finite rational maps, local connectivity, irreducibility, quadratic differentials, implosions, unimodal interval map, laminations, summable critical points, unicritical polynomial maps, dynamical cores, singularly perturbed rational maps, connectedness loci, interval dynamics, William Thurston, John Milnor, Jordan curves, multicorn, pushforwards, holomorphic dynamics, limiting behavior, differential topology, tricorn, Julia sets, hyperbolic distortion, expanding critical orbits, critically finite case, non-locally connected Julia sets, hyperbolic geometry, quadratic dynatomic curves, antiholomorphic quadratic polynomials, critical point, leading monomial vector, perturbations, combinatorial group theory, differential geometry, Sierpinski carpets, summability condition, infinitely renormalizable quadratic polynomials