Complex Dynamics

Families and Friends
Herausgeber: Schleicher, Dierk

• Broschiertes Buch

Produktbeschreibung

With contributions from many leading mathematicians, including Mikhail Lyubich, John Milnor, Mitsuhiro Shishikura, and William Thurston, this collection reflects the fruitful interplay between diverse mathematical fields bound together by the common theme of complex dynamics, including hyperbolic geometry, number theory, group theory, combinatorics, and general dynamics. Some of the chapters, including one by Thurston on the general subject of complex dynamics, are classic manuscripts of influential yet previously unpublished work. Other chapters contain fresh, original insights and bring readers to the current frontier of research.

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Produktdetails

• Verlag: Taylor & Francis Ltd
• Seitenzahl: 663
• Erscheinungstermin: 23. Oktober 2019
• Englisch
• Abmessung: 152mm x 229mm x 35mm
• Gewicht: 1210g
• ISBN-13: 9780367384944
• ISBN-10: 0367384949
• Artikelnr.: 58055084

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.