| 书目名称 | Fractal Geometry and Analysis | | 编辑 | Jacques Bélair,Serge Dubuc | | 视频video | | | 丛书名称 | Nato Science Series C: | | 图书封面 |  | | 描述 | This ASI- which was also the 28th session of the Seminaire de mathematiques superieures of the Universite de Montreal - was devoted to Fractal Geometry and Analysis. The present volume is the fruit of the work of this Advanced Study Institute. We were fortunate to have with us Prof. Benoit Mandelbrot - the creator of numerous concepts in Fractal Geometry - who gave a series of lectures on multifractals, iteration of analytic functions, and various kinds of fractal stochastic processes. Different foundational contributions for Fractal Geometry like measure theory, dy namical systems, iteration theory, branching processes are recognized. The geometry of fractal sets and the analytical tools used to investigate them provide a unifying theme of this book. The main topics that are covered are then as follows. Dimension Theory. Many definitions of fractional dimension have been proposed, all of which coincide on "regular" objects, but often take different values for a given fractal set. There is ample discussion on piecewise estimates yielding actual values for the most common dimensions (Hausdorff, box-counting and packing dimensions). The dimension theory is mainly discussed by Mendes | | 出版日期 | Book 1991 | | 关键词 | Branching process; calculus; dynamical systems; dynamische Systeme; geometry; systems theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-015-7931-5 | | isbn_softcover | 978-94-015-7933-9 | | isbn_ebook | 978-94-015-7931-5Series ISSN 1389-2185 | | issn_series | 1389-2185 | | copyright | Springer Science+Business Media Dordrecht 1991 |
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发表于 2025-3-21 18:51:39
