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

Name: Complex Dynamics and Renormalization (AM-135), Volume 135
Brand: Princeton University Press
SKU: 9780691029818
Price: 2423 CZK
Availability: InStock

Autor: Curtis T. McMullen

Jazyk:

Vazba: Brožovaná

Vydavatel: Princeton University Press

Dostupnost: Skladem u dodavatele

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2 423 Kč

Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and...

Informace o knize

Autor

Curtis T. McMullen

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

1994

Stránek

214

EAN

9780691029818

ISBN

0691029814

Enbook ID

04639712

Vydavatel

Princeton University Press

Hmotnost

364

Rozměry

238 x 180 x 15

Kompletní popis

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 analysis of the limiting forms that can occur and develops a rigidity criterion for the polynomial f. This criterion supports general conjectures about the behavior of rational maps and the structure of the Mandelbrot set. The course of the main argument entails many facets of modern complex dynamics. Included are foundational results in geometric function theory, quasiconformal mappings, and hyperbolic geometry. Most of the tools are discussed in the setting of general polynomials and rational maps.

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

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Kompletní popis

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