Contemporary Mathematics 2005; 364 pp; softcover Volume: 385 ISBN10: 0821837516 ISBN13: 9780821837511 List Price: US$109 Member Price: US$87.20 Order Code: CONM/385
 This volume contains a collection of articles from the special program on algebraic and topological dynamics and a workshop on dynamical systems held at the MaxPlanck Institute (Bonn, Germany). It reflects the extraordinary vitality of dynamical systems in its interaction with a broad range of mathematical subjects. Topics covered in the book include asymptotic geometric analysis, transformation groups, arithmetic dynamics, complex dynamics, symbolic dynamics, statistical properties of dynamical systems, and the theory of entropy and chaos. The book is suitable for graduate students and researchers interested in dynamical systems. Readership Graduate students and research mathematicians interested in dynamical systems. Table of Contents  M. Misiurewicz  Ergodic natural measures
 T. Downarowicz  Survey of odometers and Toeplitz flows
 S. Bezuglyi, J. Kwiatkowski, and K. Medynets  Approximation in ergodic theory, Borel, and Cantor dynamics
 A. H. Dooley  The critical dimension: An approach to nonsingular entropy
 J. Aaronson and M. Lemańczyk  Exactness of Rokhlin endomorphisms and weak mixing of Poisson boundaries
 M. Barge and J. Kwapisz  Elements of the theory of unimodular Pisot substitutions with an application to \(\beta\)shifts
 W. Huang, S. Shao, and X. Ye  Mixing via sequence entropy
 V. Baladi  Anisotropic Sobolev spaces and dynamical transfer operators: \(C^\infty\) foliations
 D. Mayer and T. Mühlenbruch  From the transfer operator for geodesic flows on modular surfaces to the Hecke operators on period functions of \(\Gamma_0(n)\)
 S. Koch and M. Denker  Hausdorff dimension for Martin metrics
 M. C. Sullivan  Twistwise flow equivalence and beyond
 A. Fel'shtyn  Dynamical zeta functions and symplectic Floer homology
 Y. Vorobets  Periodic geodesics on generic translation surfaces
 S. Albeverio and A. Kosyak  Group action, quasiinvariant measures and quasiregular representations of the infinitedimensional nilpotent group
 D. Kleinbock and B. Weiss  Friendly measures, homogeneous flows and singular vectors
 G. Everest, V. Stangoe, and T. Ward  Orbit counting with an isometric direction
 M. Schmoll  Spaces of elliptic differentials
 K. Thomsen  On the structure of beta shifts
 V. Berthé, S. Ferenczi, and L. Q. Zamboni  Interactions between dynamics, arithmetics and combinatorics: The good, the bad, and the ugly
