Partially Hyperbolic Dynamics, Laminations, and Teichmuller Flow
Published on 15. November 2007
Book
Hardback
339 pages
978-0-8218-4274-4 (ISBN)
Description
This volume collects a set of contributions by participants of the Workshop ""Partially hyperbolic dynamics, laminations, and Teichmuller 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 Teichmuller 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), Teichmuller 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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
College/higher education
Illustrations
Illustrations
Weight
766 gr
ISBN-13
978-0-8218-4274-4 (9780821842744)
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Schweitzer Classification
Content
Part I - Partially Hyperbolic Dynamics: How to put a stop to domination once and for all (and what comes afterwards) by L. J. Diaz A survey of partially hyperbolic dynamics by F. R. Hertz, M. A. R. Hertz, and R. Ures From hyperbolicity to dominated splitting by E. R. Pujals Some results on the integrability of the center bundle for partially hyperbolic diffeomorphisms by F. R. Hertz, M. A. R. Hertz, and R. Ures Part II - Teichmuller Dynamics: The $J$-invariant, exceptional surfaces and notions of periodicity by K. Calta and J. Smillie Finiteness results for flat surfaces: A survey and problem list by J. Smillie and B. Weiss Lyapunov exponents of Teichmuller flows by M. Viana Exponential decay of correlations for the Rauzy-Veech-Zorich induction map by A. Avila and A. Bufetov Unique ergodicity of translation flows by Y. Cheung and A. Eskin Combinatorial geometry of generic degenerations of quadratic differentials by H. Masur and A. Zorich Part III-Miscellaneous: Dynamics of foliated spaces in codimension greater than one by A. Bis A survey on minimality of horospheric laminations for rational functions by A. Glutsyuk Thermodynamics of inducing schemes and liftability of measures by Y. Pesin and K. Zhang Pseudo-Anosov maps and Wojtkowski's cone methods by M. Gerber Distribution of orbits for Mobius groups by M. Pollicott.