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Fractals in Probability and Analysis (Cambridge Studies in Advanced Mathematics)

Christopher J. Bishop, Yuval Peres




[PDF.ff69] Fractals in Probability and Analysis (Cambridge Studies in Advanced Mathematics)

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 | #404695 in Books |  2017-01-30 | Original language:English |  8.98 x1.02 x5.98l, | File type: PDF | 412 pages

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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 high...

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