BOOKS by Curtis T McMullen

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Complex Dynamics and Renormalization more books like this

by Curtis T McMullen

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Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics. Its central concern is the structure of an infinitely renormalizable quadratic polynomial f(z) = z2 + c. As ...

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Renormalization and 3-Manifolds Which Fiber Over the Circle (Am-142) more books like this

by Curtis T McMullen

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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 ...

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