Fields Institute Communications 2007; 339 pp; hardcover Volume: 51 ISBN10: 0821842749 ISBN13: 9780821842744 List Price: US$112 Member Price: US$89.60 Order Code: FIC/51
 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 nonuniform 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. Nonspecialists will find the extensive, indepth surveys especially useful. Titles in this series are copublished 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  L. J. Díaz  How to put a stop to domination once and for all (and what comes afterwards)
 F. R. Hertz, M. A. R. Hertz, and R. Ures  A survey of partially hyperbolic dynamics
 E. R. Pujals  From hyperbolicity to dominated splitting
 F. R. Hertz, M. A. R. Hertz, and R. Ures  Some results on the integrability of the center bundle for partially hyperbolic diffeomorphisms
Part II  Teichmüller Dynamics  K. Calta and J. Smillie  The \(J\)invariant, exceptional surfaces and notions of periodicity
 J. Smillie and B. Weiss  Finiteness results for flat surfaces: A survey and problem list
 M. Viana  Lyapunov exponents of Teichmüller flows
 A. Avila and A. Bufetov  Exponential decay of correlations for the RauzyVeechZorich induction map
 Y. Cheung and A. Eskin  Unique ergodicity of translation flows
 H. Masur and A. Zorich  Combinatorial geometry of generic degenerations of quadratic differentials
Part IIIMiscellaneous  A. Biś  Dynamics of foliated spaces in codimension greater than one
 A. Glutsyuk  A survey on minimality of horospheric laminations for rational functions
 Y. Pesin and K. Zhang  Thermodynamics of inducing schemes and liftability of measures
 M. Gerber  PseudoAnosov maps and Wojtkowski's cone methods
 M. Pollicott  Distribution of orbits for Möbius groups
