McMullen Renormalization and 3-Manifolds Which Fiber over the Circle

1. Auflage 2014
ISBN: 978-1-4008-6517-8
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 142, 253 Seiten

Reihe: Annals of Mathematics Studies

McMullenCurtis T.:

Curtis T. McMullen is Professor of Mathematics at the University of California, Berkeley.

Autoren/Hrsg.

McMullen, Curtis T.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Analytische Geometrie

Inhaltsverzeichnis

1 Introduction 1

2 Rigidity of hyperbolic manifolds 11

3 Three-manifolds which fiber over the circle 41

4 Quadratic maps and renormalization 75

5 Towers 95

6 Rigidity of towers 105

7 Fixed points of renormalization 119

8 Asymptotic structure in the Julia set 135

9 Geometric limits in dynamics 151

10 Conclusion 175

Appendix A. Quasiconformal maps and flows 183

Appendix B. Visual extension 205

Bibliography 241

Index 251

Über Autor(innen)

Curtis T. McMullen is Professor of Mathematics at the University of California, Berkeley.