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

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Bibliographic Details
Other Authors: Bonifant, Araceli, 1963- (Editor), Lyubich, Mikhail, 1959- (Editor), Sutherland, Scott, 1959- (Editor), Milnor, John W. (John Willard), 1931- (honouree.)
Language:English
Published: Princeton, New Jersey : Princeton University Press, [2014]
Series:Princeton mathematical series ; 51.
Subjects:
Differentiable dynamical systems.
Holomorphic mappings.
Functions of complex variables.
Riemann surfaces.
Physical Description:xii, 787 pages, C-24 pages of color plates : illustrations (some color) ; 26 cm.
Format: Book
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 ; Intersection 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.