A01=Araceli Bonifant
A01=Misha Lyubich
A01=Scott Sutherland
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antiholomorphic quadratic polynomials
antiholomorphic unicritical polynomials
asymptotic behavior
Author_Araceli Bonifant
Author_Misha Lyubich
Author_Scott Sutherland
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Category1=Non-Fiction
Category=PBKJ
Category=PBP
combinatorial group theory
complex manifolds
complex polynomials
connectedness loci
COP=United States
critical objects
critical point
critically finite case
decomposition
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differential geometry
differential topology
dynamical cores
dynamical derivatives
dynamical systems
entropy theory
eq_isMigrated=2
eq_nobargain
escape regions
expanding critical orbits
external rays
geometrically finite rational maps
holomorphic dynamics
holomorphic dynamics studies
holomorphic maps
hyperbolic distortion
hyperbolic geometry
implosions
infinitely renormalizable quadratic polynomials
integral closure
interval dynamics
irreducibility
John Milnor
Jordan curves
Julia sets
K-theory
kneading sequences
laminations
Language_English
leading monomial vector
leading monomials
limiting behavior
local connectivity
Maldelbrot set
mathematics
mating
multicorn
non-locally connected Julia sets
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periodic critical orbit
periodic objects
periodic orbits
perturbations
polynomials
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quadratic differentials
quadratic dynatomic curves
quadratic polynomials
rational maps
Sierpinski carpets
Sierpinski gaskets
singularly perturbed rational maps
smoothness
softlaunch
summability condition
summable critical points
topological polynomials
transversality theory
tricorn
unbounded hyperbolic components
unicritical polynomial maps
unimodal interval map
unmating
William Thurston
Product details
- ISBN 9780691159294
- Weight: 1814g
- Dimensions: 178 x 254mm
- Publication Date: 16 Mar 2014
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Hardback
- Language: English
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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 Garcia-Compean, William Goldman, Rotislav Grigorchuk, John Hubbard, Yunping Jiang, Linda Keen, Jan Kiwi, Genadi Levin, Daniel Meyer, John Milnor, Carlos Moreira, Vincente Munoz, Viet-Anh Nguyen, Lex Oversteegen, Ricardo Perez-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.
Araceli Bonifant is associate professor of mathematics at the University of Rhode Island. Misha Lyubich is director of the Institute for Mathematical Sciences and professor of mathematics at Stony Brook University. Scott Sutherland is associate professor of mathematics at Stony Brook University.
