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 monograph discusses recent advances in ergodic theory and dynamical systems. As a mixture of survey papers of active research areas and original research papers, this volume attracts young and senior researchers alike.

Contents:Duality of the almost periodic and proximal relationsLimit directions of a vector cocycle, remarks and examplesOptimal norm approximation in ergodic theoryThe iterated Prisoner’s Dilemma: good strategies and their dynamicsLyapunov exponents for conservative twisting dynamics: a surveyTakens’ embedding theorem with a continuous observable

This monograph discusses recent advances in ergodic theory and dynamical systems. As a mixture of survey papers of active research areas and original research papers, this volume attracts young and senior researchers alike.

Contents:Duality of the almost periodic and proximal relationsLimit directions of a vector cocycle, remarks and examplesOptimal norm approximation in ergodic theoryThe iterated Prisoner’s Dilemma: good strategies and their dynamicsLyapunov exponents for conservative twisting dynamics: a surveyTakens’ embedding theorem with a continuous observable

This book grew out of the 2021 Chapel Hill Ergodic Theory Workshop (https://ergwork.web.unc.edu/schedule-of-talks-201/) during which young and senior researchers presented recent advances in ergodic theory and dynamical systems. Included are original research and survey articles devoted to various topics in Ergodic Theory and Dynamical Systems. Some are from presenters at this workshop. This book attracts young and senior researchers alike.

This book grew out of the 2021 Chapel Hill Ergodic Theory Workshop (https://ergwork.web.unc.edu/schedule-of-talks-201/) during which young and senior researchers presented recent advances in ergodic theory and dynamical systems. Included are original research and survey articles devoted to various topics in Ergodic Theory and Dynamical Systems. Some are from presenters at this workshop. This book attracts young and senior researchers alike.

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 monograph discusses recent advances in ergodic theory and dynamical systems. As a mixture of survey papers of active research areas and original research papers, this volume attracts young and senior researchers alike.

Contents:Duality of the almost periodic and proximal relationsLimit directions of a vector cocycle, remarks and examplesOptimal norm approximation in ergodic theoryThe iterated Prisoner’s Dilemma: good strategies and their dynamicsLyapunov exponents for conservative twisting dynamics: a surveyTakens’ embedding theorem with a continuous observable

This monograph discusses recent advances in ergodic theory and dynamical systems. As a mixture of survey papers of active research areas and original research papers, this volume attracts young and senior researchers alike.

Contents:Duality of the almost periodic and proximal relationsLimit directions of a vector cocycle, remarks and examplesOptimal norm approximation in ergodic theoryThe iterated Prisoner’s Dilemma: good strategies and their dynamicsLyapunov exponents for conservative twisting dynamics: a surveyTakens’ embedding theorem with a continuous observable

This book grew out of the 2021 Chapel Hill Ergodic Theory Workshop (https://ergwork.web.unc.edu/schedule-of-talks-201/) during which young and senior researchers presented recent advances in ergodic theory and dynamical systems. Included are original research and survey articles devoted to various topics in Ergodic Theory and Dynamical Systems. Some are from presenters at this workshop. This book attracts young and senior researchers alike.

This book grew out of the 2021 Chapel Hill Ergodic Theory Workshop (https://ergwork.web.unc.edu/schedule-of-talks-201/) during which young and senior researchers presented recent advances in ergodic theory and dynamical systems. Included are original research and survey articles devoted to various topics in Ergodic Theory and Dynamical Systems. Some are from presenters at this workshop. This book attracts young and senior researchers alike.