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Fractals in Probability and Analysis
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  • Title: Fractals in Probability and Analysis
  • Author(s) Christopher J. Bishop, Yuval Peres
  • Publisher: Cambridge University Press (January 30, 2017); eBook (Preprint)
  • Paperback: 412 pages
  • eBook: PDF
  • Language: English
  • ASIN/ISBN-10: 1107134110
  • ISBN-13: 978-1107134119
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Book Description

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.

About the Authors
  • Christopher J. Bishop is a professor in the Department of Mathematics at Stony Brook University, New York.
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