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Partially Hyperbolic Dynamics, Laminations, and Teichmüller Flow

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Giovanni Forni, University of Toronto, Toronto, ON, Canada, Mikhail Lyubich, State University of New York at Stony Brook, Stony Brook, NY, Charles Pugh, University of Toronto, Toronto, ON, Canada and Michael Shub, University of Toronto, Toronto, ON, Canada, Editors

Publication: Fields Institute Communications
Publication Year: 2007; Volume 51
ISBNs: 978-0-8218-4274-4 (print); 978-1-4704-3085-6 (online)
DOI: https://doi.org/10.1090/fic/051
MathSciNet review: MR2391330
MSC: Primary 37-06; Secondary 30-06, 32-06, 37D30, 37D40, 57-06

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Table of Contents

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Front/Back Matter

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Part I - Partially Hyperbolic Dynamics

• Lorenzo Díaz – How to put a stop to domination once and for all (and what comes afterwards)
• Federico Hertz, Maria Hertz and Raul Ures – A survey of partially hyperbolic dynamics
• Enrique Pujals – From hyperbolicity to dominated splitting
• Federico Hertz, Maria Hertz and Raul Ures – Some results on the integrability of the center bundle for partially hyperbolic diffeomorphisms

Part II - Teichmüller Dynamics

• Kariane Calta and John Smillie – The $J$-invariant, exceptional surfaces and notions of periodicity
• John Smillie and Barak Weiss – Finiteness results for flat surfaces: A survey and problem list
• Marcelo Viana – Lyapunov exponents of Teichmüller flows
• Artur Avila and Alexander Bufetov – Exponential decay of correlations for the Rauzy-Veech-Zorich induction map
• Yitwah Cheung and Alex Eskin – Unique ergodicity of translation flows
• Howard Masur and Anton Zorich – Combinatorial geometry of generic degenerations of quadratic differentials

Part III-Miscellaneous

• Andrzej Biś – Dynamics of foliated spaces in codimension greater than one
• Alexey Glutsyuk – A survey on minimality of horospheric laminations for rational functions
• Yakov Pesin and Ke Zhang – Thermodynamics of inducing schemes and liftability of measures
• Marlies Gerber – Pseudo-Anosov maps and Wojtkowski’s cone methods
• Mark Pollicott – Distribution of orbits for Möbius groups