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Complex Dynamics and Renormalization (Am-135), Volume 135

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Complex Dynamics and Renormalization (Am-135), Volume 135 - McMullen, Curtis T
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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 discovered by Feigenbaum, such a mapping exhibits a repetition of form at infinitely many scales. Drawing on universal estimates in hyperbolic geometry, this work gives an ...

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Complex Dynamics and Renormalization (Am-135), Volume 135 1994, Princeton University Press, Princeton

ISBN-13: 9780691029818

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