Complex Dynamics (eBook, PDF)

Families and Friends
Redaktion: Schleicher, Dierk

• Format: PDF

Produktbeschreibung

Complex Dynamics: Families and Friends features contributions by many of the leading mathematicians in the field, such as Mikhail Lyubich, John Milnor, Mitsuhiro Shishikura, and William Thurston. Some of the chapters, including an introduction by Thurston to the general subject of complex dynamics, are classic manuscripts that were never published

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 663
• Erscheinungstermin: 3. November 2009
• Englisch
• ISBN-13: 9781439865422
• Artikelnr.: 42507574

Autorenporträt

Dierk Schleicher is a professor of mathematics at Jacobs University in Bremen, Germany.

Inhaltsangabe

Polynomial Dynamics from Combinatorics to Topology. On the Geometry and Dynamics of Iterated Rational Maps. Appendix: Laminations, Julia Sets, and the Mandelbrot Set. Wandering Gaps for Weakly Hyperbolic Polynomials. Combinatorics of Polynomial Iterations. The Unicritical Branner-Hubbard Conjecture. A Priori Bounds for Some Infinitely Renormalizable Quadratics, III: Molecules. Beyond Polynomials: Rational and Transcendental Dynamics. The Connectivity of the Julia Set and Fixed Points. The Rabbit and Other Julia Sets Wrapped in Sierpinski Carpets. The Teichmuller Space of an Entire Function. Two Complex Dimensions. Cubic Polynomial Maps with Periodic Critical Orbit, Part I. Analytic Coordinates Recording Cubic Dynamics. Cubic Polynomials: A Measurable View of Parameter Space. Bifurcation Measure and Postcritically Finite Rational Maps. Real Dynamics of a Family of Plane Birational Maps: Trapping Regions and Entropy Zero. Making New Friends. The Hunt for Julia Sets with Positive Measure. On Thurston's Pullback Map. On the Boundary Behavior of Thurston's Pullback Map. Computing Arithmetic Invariants for Hyperbolic Reflection Groups.