Renormalization and 3-manifolds which Fiber Over the Circle

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Princeton University Press, 1996 M07 28 - 253 páginas

Many 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.

 

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Pasajes populares

Página 243 - Wright, The shape of the boundary of Maskit's embedding of the Teichmuller space of once punctured tori, preprint. 13. L. Keen and C. Series, Pleating coordinates for the Maskit embedding of the Teichmuller space of punctured tori, Topology 32(4) (1993), 719-749.

Acerca del autor (1996)

Curtis T. McMullen is Professor of Mathematics at the University of California, Berkeley.

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