| 期刊全称 | An Introduction to the Kolmogorov–Bernoulli Equivalence | | 影响因子2023 | Gabriel Ponce,Régis Varão | | 视频video | | | 发行地址 | Offers a new, easier-to-grasp approach on the Kolmogorov–Bernoulli equivalence.Uses a myriad of tools, like the Lyapunov exponent and Pesin’s theory, to present the KB equivalence in other frameworks. | | 学科分类 | SpringerBriefs in Mathematics | | 图书封面 |  | | 影响因子 | .This book offers an introduction to a classical problem in ergodic theory and smooth dynamics, namely, the Kolmogorov–Bernoulli (non)equivalence problem, and presents recent results in this field. Starting with a crash course on ergodic theory, it uses the class of ergodic automorphisms of the two tori as a toy model to explain the main ideas and technicalities arising in the aforementioned problem. The level of generality then increases step by step, extending the results to the class of uniformly hyperbolic diffeomorphisms, and concludes with a survey of more recent results in the area concerning, for example, the class of partially hyperbolic diffeomorphisms. It is hoped that with this type of presentation, nonspecialists and young researchers in dynamical systems may be encouraged to pursue problems in this area.. | | Pindex | Book 2019 |
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发表于 2025-3-21 19:59:02
