Screen LibraryErgodic theory and dynamical systems : proceedings of the ergodic theory workshops at university of north carolina at chapel hill, 2011-2012 /
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 contai...
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| Corporate Authors: | |
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| Group Author: | |
| Published: |
De Gruyter,
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| Publisher Address: | Berlin/Boston : |
| Publication Dates: | [2013] |
| Literature type: | eBook |
| Language: | English |
| Series: |
De gruyter proceedings in mathematics
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| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1515/9783110298208 http://www.degruyter.com/doc/cover/9783110298208.jpg |
| Summary: |
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. |
| Carrier Form: |
1 online resource(x,276pages) : illustrations. Also available in print edition. |
| ISBN: | 9783110298208（electronic bk.） |
| Index Number: | QA611 |
| CLC: | O177.99 |
| Contents: |
Frontmatter -- Preface -- Contents -- Furstenberg Fractals / A Survey of the Return Times Theorem / Characterizations of Distal and Equicontinuous Extensions / Averages Along the Squares on the Torus / Stepped Hyperplane and Extension of the Three Distance Theorem / Remarks on Step Cocycles over Rotations, Centralizers and Coboundaries / Hamilton s Theorem for Smooth Lie Group Actions / Mixing Automorphisms which are Markov Quasi-Equivalent but not Weakly Isomorphic / On the Strong Convolution Singularity Property / Fractal Geometry of Non-Uniformly Hyperbolic Horseshoes / Adic Flows, Transversal Flows, and Horocycle Flows / Uniform Rigidity Sequences for Topologically WeaklyMixing Homeomorphisms / |