Ergodic Theory and Dynamical Systems: Proceedings of the Ergodic Theory Workshops at University of North Carolina at Chapel Hill, 2011-2012 (De Gruyter Proceedings in Mathematics)

This is the proceedings of the workshop on recent developments in ergodic theory and dynamical systems on March 2011 and March 2012 at the University of North Carolina at Chapel Hill. The articles in this volume cover several aspects of vibrant research in ergodic theory and dynamical systems. It contains contributions to Teichmuller dynamics, interval exchange transformations, continued fractions, return times averages, Furstenberg Fractals, fractal geometry of non-uniformly hyperbolic horseshoes, convergence along the sequence of squares, adic and horocycle flows, and topological flows. These contributions illustrate the connections between ergodic theory and dynamical systems, number theory, harmonic analysis, probability, and algebra. Two surveys are included which give a nice introduction for interested young or senior researcher to some active research areas. Overall this volume provides a very useful blend of techniques and methods as well as directions of research on general convergence phenomena in ergodic theory and dynamical systems.

This is the proceedings of theworkshop on recent developments in ergodic theory and dynamical systemson March 2011and March 2012 at the University of North Carolina at Chapel Hill.

Thearticles in this volume cover several aspects of vibrant research in ergodic theory and dynamical systems. It contains contributions to Teichmuller dynamics, interval exchange transformations, continued fractions, return times averages, Furstenberg Fractals, fractal geometry of non-uniformly hyperbolic horseshoes, convergence along the sequence of squares, adic and horocycle flows, and topological flows. These contributions illustrate the connections between ergodic theory and dynamical systems, number theory, harmonic analysis, probability, andalgebra. Two surveys are included which give a nice introduction for interested young or senior researcher to some active research areas. Overall this volume provides a very useful blend of techniques and methods as well as directions of research on general convergence phenomena in ergodic theory and dynamical systems.

Furstenberg Fractals / Ethan Akin -- A Survey Of The Return Times Theorem / Idris Assani And Kimberly Presser -- Characterizations Of Distal And Equicontinuous Extensions / Joseph Auslander -- Averages Along The Squares On The Torus / Zoltán Buczolich -- Stepped Hyperplane And Extension Of The Three Distance Theorem / Nicolas Chevallier -- Remarks On Step Cocycles Over Rotations, Centralizers And Coboundaries / Jean-pierre Conze And Jonathan Marco -- Hamilton's Theorem For Smooth Lie Group Actions / Danijela Damjanović -- Mixing Automorphisms Which Are Markov Quasi-equivalent But Not Weakly Isomorphic / Krzysztof Frączek, Agata Piękniewska, And Dariusz Skrenty -- On The Strong Convolution Singularity Property / Joanna Kulaga-przymus -- Fractal Geometry Of Non-uniformly Hyperbolic Horshoes / Carlos Matheus -- Adic Flows, Transversal Flows, And Horocycle Flows / Omri Sarig And Martin Schmoll -- Uniform Rigidity Sequences For Topologically Weakly Mixing Homeomorphisms / Kelly B. Yancey. Edited By Idris Assani. International Conference Proceedings. Includes Bibliographical References.