书目名称 | Probability Measures on Semigroups: Convolution Products, Random Walks and Random Matrices | 编辑 | Göran Högnäs,Arunava Mukherjea | 视频video | | 概述 | This second edition presents up-to-date material on the theory of weak convergence of convolution products of probability measures on semigroups, the theory of random walks on semigroups, and their ap | 丛书名称 | University Series in Mathematics | 图书封面 |  | 描述 | A Scientific American article on chaos, see Crutchfield et al. (1986), illus trates a very persuasive example of recurrence. A painting of Henri Poincare, or rather a digitized version of it, is stretched and cut to produce a mildly distorted image of Poincare. The same procedure is applied to the distorted image and the process is repeated over and over again on the successively more and more blurred images. After a dozen repetitions nothing seems to be left of the original portrait. Miraculously, structured images appear briefly as we continue to apply the distortion procedure to successive images. After 241 iterations the original picture reappears, unchanged! Apparently the pixels of the Poincare portrait were moving about in accor dance with a strictly deterministic rule. More importantly, the set of all pixels, the whole portrait, was transformed by the distortion mechanism. In this exam ple the transformation seems to have been a reversible one since the original was faithfully recreated. It is not very farfetched to introduce a certain amount of randomness and irreversibility in the above example. Think of a random miscoloring of some pixels or of inadvertently giving a | 出版日期 | Book 19951st edition | 关键词 | applied mathematics; group theory; mathematics; probability | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4757-2388-5 | isbn_ebook | 978-1-4757-2388-5 | copyright | Springer-Verlag US 1995 |
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