| 书目名称 | Dynamical Systems of Algebraic Origin | | 编辑 | Klaus Schmidt | | 视频video | | | 概述 | Beautifully written monograph on an interesting topic in ergodic theory.First systematic account of the ergodic theory of algebraic Zd-actions.Valuable to researchers and graduate students of ergodic | | 丛书名称 | Modern Birkhäuser Classics | | 图书封面 |  | | 描述 | Although much of classical ergodic theory is concerned with single transformations and one-parameter flows, the subject inherits from statistical mechanics not only its name, but also an obligation to analyze spatially extended systems with multidimensional symmetry groups. However, the wealth of concrete and natural examples which has contributed so much to the appeal and development of classical dynamics, is noticeably absent in this more general theory. The purpose of this book is to help remedy this scarcity of explicit examples by introducing a class of continuous Zd-actions diverse enough to exhibit many of the new phenomena encountered in the transition from Z to Zd, but which nevertheless lends itself to systematic study: the Zd-actions by automorphisms of compact, abelian groups. One aspect of these actions, not surprising in itself but quite striking in its extent and depth nonetheless, is the connection with commutative algebra and arithmetical algebraic geometry. The algebraic framework resulting from this connection allows the construction of examples with a variety of specified dynamical properties, and by combining algebraic and dynamical tools one obtains a quite d | | 出版日期 | Book 1995 | | 关键词 | Abelian group; Ergodic theory; Group Theory; Lie Groups; Symmetry group; mixing | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-0277-2 | | isbn_softcover | 978-3-0348-0276-5 | | isbn_ebook | 978-3-0348-0277-2Series ISSN 2197-1803 Series E-ISSN 2197-1811 | | issn_series | 2197-1803 | | copyright | Springer Basel AG 1995 |
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发表于 2025-3-21 19:42:48
