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Titlebook: Probability Measures on Semigroups: Convolution Products, Random Walks and Random Matrices; Göran Högnäs,Arunava Mukherjea Book 19951st ed

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发表于 2025-3-21 18:31:11 | 显示全部楼层 |阅读模式
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Titlebook: Probability Measures on Semigroups: Convolution Products, Random Walks and Random Matrices;  Göran Högnäs,Arunava Mukherjea Book 19951st ed
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
doihttps://doi.org/10.1007/978-1-4757-2388-5
isbn_ebook978-1-4757-2388-5
copyrightSpringer-Verlag US 1995
The information of publication is updating

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发表于 2025-3-21 20:21:39 | 显示全部楼层
Book 19951st editioncare, 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 se
发表于 2025-3-22 03:23:29 | 显示全部楼层
Semigroups,eston (1961) offer a wealth of information on all aspects of algebraic semigroups, and this text is recommended to any reader interested in a much more elaborate treatment of this fascinating subject.
发表于 2025-3-22 07:43:18 | 显示全部楼层
Probability Measures on Topological Semigroups,ducts of a sequence of nonidentical probability measures, even though reasonably resolved in a compact abelian semigroup as well as in a discrete group or a discrete abelian semigroup (see Theorem 2.44, Corollary 2.50 and Theorem 2.51), is far from being resolved even in the case of compact groups.
发表于 2025-3-22 09:48:39 | 显示全部楼层
Random Matrices,ecurrence, tightness, invariant measures and laws of large numbers for products of random matrices. The reason is of course our own bias and also the desire to avoid duplicating work already available in books or well-known papers.
发表于 2025-3-22 13:36:23 | 显示全部楼层
Random Walks on Semigroups,nnot be satisfied unless the semigroup supporting the random walk has a certain algebraic structure. The situation is very similar to that in Chapter 2 where we saw, for example, that only completely simple semigroups with a compact group factor support limit points of a tight convolution sequence of measures (see Theorem 2.28).
发表于 2025-3-22 17:14:30 | 显示全部楼层
Book 19951st editionhis 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
发表于 2025-3-23 00:26:31 | 显示全部楼层
Probability Measures on Semigroups: Convolution Products, Random Walks and Random Matrices
发表于 2025-3-23 03:43:18 | 显示全部楼层
Probability Measures on Semigroups: Convolution Products, Random Walks and Random Matrices978-1-4757-2388-5
发表于 2025-3-23 08:27:18 | 显示全部楼层
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