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Fractals in Probability and Analysis

Fractals in Probability and Analysis by Christopher J. Bishop
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This is a mathematically rigorous introduction to fractals which emphasizes examples and fundamental ideas. Building up from basic techniques of geometric measure theory and probability, central topics such as Hausdorff dimension, self-similar sets and Brownian motion are introduced, as are more specialized topics, including Kakeya sets, capacity, percolation on trees and the traveling salesman theorem. The broad range of techniques presented enables key ideas to be highlighted, without the distraction of excessive technicalities. The authors incorporate some novel proofs which are simpler than those available elsewhere. Where possible, chapters are designed to be read independently so the book can be used to teach a variety of courses, with the clear structure offering students an accessible route into the topic.
Cambridge University Press; December 2016
ISBN 9781316866924
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Title: Fractals in Probability and Analysis
Author: Christopher J. Bishop; Yuval Peres
 
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ISBNs
9781107134119
9781316866924
9781316868188