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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 relations Limit directions of a vector cocycle,
remarks and examples Optimal norm approximation in ergodic theory
The iterated Prisoner's Dilemma: good strategies and their dynamics
Lyapunov exponents for conservative twisting dynamics: a survey
Takens' embedding theorem with a continuous observable
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.
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