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Partially Hyperbolic Dynamics, Laminations, and Teichmüller Flow
 
Edited by: 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
Michael Shub University of Toronto, Toronto, ON, Canada
A co-publication of the AMS and Fields Institute
Partially Hyperbolic Dynamics, Laminations, and Teichmuller Flow
Hardcover ISBN:  978-0-8218-4274-4
Product Code:  FIC/51
List Price: $133.00
MAA Member Price: $119.70
AMS Member Price: $106.40
eBook ISBN:  978-1-4704-3085-6
Product Code:  FIC/51.E
List Price: $124.00
MAA Member Price: $111.60
AMS Member Price: $99.20
Hardcover ISBN:  978-0-8218-4274-4
eBook: ISBN:  978-1-4704-3085-6
Product Code:  FIC/51.B
List Price: $257.00 $195.00
MAA Member Price: $231.30 $175.50
AMS Member Price: $205.60 $156.00
Partially Hyperbolic Dynamics, Laminations, and Teichmuller Flow
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Partially Hyperbolic Dynamics, Laminations, and Teichmüller Flow
Edited by: 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
Michael Shub University of Toronto, Toronto, ON, Canada
A co-publication of the AMS and Fields Institute
Hardcover ISBN:  978-0-8218-4274-4
Product Code:  FIC/51
List Price: $133.00
MAA Member Price: $119.70
AMS Member Price: $106.40
eBook ISBN:  978-1-4704-3085-6
Product Code:  FIC/51.E
List Price: $124.00
MAA Member Price: $111.60
AMS Member Price: $99.20
Hardcover ISBN:  978-0-8218-4274-4
eBook ISBN:  978-1-4704-3085-6
Product Code:  FIC/51.B
List Price: $257.00 $195.00
MAA Member Price: $231.30 $175.50
AMS Member Price: $205.60 $156.00
  • Book Details
     
     
    Fields Institute Communications
    Volume: 512007; 339 pp
    MSC: Primary 37; 30; 32

    This volume collects a set of contributions by participants of the Workshop "Partially hyperbolic dynamics, laminations, and Teichmüller flow" held at the Fields Institute in Toronto in January 2006. The Workshop brought together several leading experts in two very active fields of contemporary dynamical systems theory: partially hyperbolic dynamics and Teichmüller dynamics. They are unified by ideas coming from the theory of laminations and foliations, dynamical hyperbolicity, and ergodic theory. These are the main themes of the current volume. The volume contains both surveys and research papers on non-uniform and partial hyperbolicity, on dominated splitting and beyond (in Part I), Teichmüller dynamics with applications to interval exchange transformations and on the topology of moduli spaces of quadratic differentials (in Part II), foliations and laminations and other miscellaneous papers (in Part III). Taken together these papers provide a snapshot of the state of the art in some of the most active topics at the crossroads between dynamical systems, smooth ergodic theory, geometry and topology, suitable for advanced graduate students and researchers. Non-specialists will find the extensive, in-depth surveys especially useful.

    Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

    Readership

    Graduate students and research mathematicians interested in dynamical systems theory.

  • Table of Contents
     
     
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 512007; 339 pp
MSC: Primary 37; 30; 32

This volume collects a set of contributions by participants of the Workshop "Partially hyperbolic dynamics, laminations, and Teichmüller flow" held at the Fields Institute in Toronto in January 2006. The Workshop brought together several leading experts in two very active fields of contemporary dynamical systems theory: partially hyperbolic dynamics and Teichmüller dynamics. They are unified by ideas coming from the theory of laminations and foliations, dynamical hyperbolicity, and ergodic theory. These are the main themes of the current volume. The volume contains both surveys and research papers on non-uniform and partial hyperbolicity, on dominated splitting and beyond (in Part I), Teichmüller dynamics with applications to interval exchange transformations and on the topology of moduli spaces of quadratic differentials (in Part II), foliations and laminations and other miscellaneous papers (in Part III). Taken together these papers provide a snapshot of the state of the art in some of the most active topics at the crossroads between dynamical systems, smooth ergodic theory, geometry and topology, suitable for advanced graduate students and researchers. Non-specialists will find the extensive, in-depth surveys especially useful.

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

Readership

Graduate students and research mathematicians interested in dynamical systems theory.

  • 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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.