Includes bibliographical references.

Ergodic natural measures ; Survey of odometers and Toeplitz flows ; Approximation in ergodic theory, Borel, and Cantor dynamics ; The critical dimension: an approach to nonsingular entropy ; Exactness of Rokhlin endomorphisms and weak mixing of Poisson boundaries ; Elements of the theory of unimodular Pisot substitutions with an application to beta hifts ; Mixing via sequence entropy ; Anisotropic Sobolev spaces and dynamical transfer operators: ^\infty foliations ; From the transfer operator for geodesic flows on modular surfaces to the Hecke operators on period functions of Gamma _0(n) ; Hausdorff dimension for Martin metrics ; Twistwise flow equivalence and beyond ldots ; Dynamical zeta functions and symplectic Floer homology ; Periodic geodesics on generic translation surfaces ; Group action, quasiinvariant measures and quasiregular representations of the infinitedimensional nilpotent group ; Friendly measures, homogeneous flows and singular vectors ; Orbit counting with an isometric direction ; Spaces of elliptic differentials ; On the structure of beta shifts ; Interactions between dynamics, arithmetics and combinatorics: the good, the bad, and the ugly Micha Misiurewicz ; Tomasz Downarowicz ; S Bezuglyi J Kwiatkowski and K Medynets ; A H Dooley ; Jon Aaronson and Mariusz Lemanczyk ; Marcy Barge and Jaroslaw Kwapisz ; Wen Huang Song Shao and Xiangdong Ye ; Viviane Baladi ; D Mayer and T Muhlenbruch ; Susanne Koch and Manfred Denker ; Michael C Sullivan ; Alexander Felshtyn ; Yaroslav Vorobets ; Sergio Albeverio and Alexandre Kosyak ; Dmitry Kleinbock and Barak Weiss ; G Everest V Stangoe and T Ward ; Martin Schmoll ; Klaus Thomsen ; Valerie Berthe Sebastien Ferenczi and Luca Q Zamboni