| 書目名稱 | Ergodic Theory | | 編輯 | I. P. Cornfeld,S. V. Fomin,Ya. G. Sinai | | 視頻video | http://file.papertrans.cn/315/314486/314486.mp4 | | 叢書名稱 | Grundlehren der mathematischen Wissenschaften | | 圖書封面 |  | | 描述 | Ergodic theory is one of the few branches of mathematics which has changed radically during the last two decades. Before this period, with a small number of exceptions, ergodic theory dealt primarily with averaging problems and general qualitative questions, while now it is a powerful amalgam of methods used for the analysis of statistical properties of dyna- mical systems. For this reason, the problems of ergodic theory now interest not only the mathematician, but also the research worker in physics, biology, chemistry, etc. The outline of this book became clear to us nearly ten years ago but, for various reasons, its writing demanded a long period of time. The main principle, which we adhered to from the beginning, was to develop the approaches and methods or ergodic theory in the study of numerous concrete examples. Because of this, Part I of the book contains the description of various classes of dynamical systems, and their elementary analysis on the basis of the fundamental notions of ergodicity, mixing, and spectra of dynamical systems. Here, as in many other cases, the adjective" elementary" i~ not synonymous with "simple. " Part II is devoted to "abstract ergodic theory. " | | 出版日期 | Book 1982 | | 關鍵詞 | Elementary Analysis; Ergodentheorie; Ergodic theory; ergodicity; mixing | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4615-6927-5 | | isbn_softcover | 978-1-4615-6929-9 | | isbn_ebook | 978-1-4615-6927-5Series ISSN 0072-7830 Series E-ISSN 2196-9701 | | issn_series | 0072-7830 | | copyright | Springer-Verlag New York Inc. 1982 |
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