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Awards
OverviewMany parallels between complex dynamics and hyperbolic geometry have emerged in the past decade. Building on work of Sullivan and Thurston, this book gives a unified treatment of the construction of fixed-points for renormalization and the construction of hyperbolic 3- manifolds fibering over the circle. Both subjects are studied via geometric limits and rigidity. This approach shows open hyperbolic manifolds are inflexible, and yields quantitative counterparts to Mostow rigidity. In complex dynamics, it motivates the construction of towers of quadratic-like maps, and leads to a quantitative proof of convergence of renormalization. Full Product DetailsAuthor: Curtis T. McMullenPublisher: Princeton University Press Imprint: Princeton University Press Volume: 153 Dimensions: Width: 19.70cm , Height: 1.40cm , Length: 25.40cm Weight: 0.340kg ISBN: 9780691011530ISBN 10: 0691011532 Pages: 253 Publication Date: 28 July 1996 Audience: Professional and scholarly , College/higher education , Professional & Vocational , Tertiary & Higher Education Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Language: English Table of ContentsReviewsCurtis T. McMullen, Winner of the 1998 Fields Medal, International Congress of Mathematicians ""A comprehensive study of a theory which brings into parallel two recent and very deep theorems, involving geometry and dynamics. These are Thurston's theorem on the existence of hyperbolic metrics on three-manifolds which fiber over the circle with pseudo-Anosov monodromy, and Sullivan's theorem on the convergence of the renormalization map for real quadratic mappings... The book is very dense in results and the style is superb.""--Mathematical Reviews A comprehensive study of a theory which brings into parallel two recent and very deep theorems, involving geometry and dynamics. These are Thurston's theorem on the existence of hyperbolic metrics on three-manifolds which fiber over the circle with pseudo-Anosov monodromy, and Sullivan's theorem on the convergence of the renormalization map for real quadratic mappings... The book is very dense in results and the style is superb. Mathematical Reviews Author InformationCurtis T. McMullen is Professor of Mathematics at the University of California, Berkeley. Tab Content 6Author Website:Countries AvailableAll regions |
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