Fractals in Probability and Analysis

Name: Fractals in Probability and Analysis
SKU: 26602623
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Hardback

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Cambridge Studies in Advanced Mathematics

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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. 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.

Author Biography:

Christopher J. Bishop is a professor in the Department of Mathematics at Stony Brook University, New York. He has made contributions to the theory of function algebras, Kleinian groups, harmonic measure, conformal and quasiconformal mapping, holomorphic dynamics and computational geometry. Yuval Peres is a Principal Researcher at Microsoft Research in Redmond, Washington. He is particularly known for his research in topics such as fractals and Hausdorff measures, random walks, Brownian motion, percolation and Markov chain mixing times.

Release date Australia

December 22nd, 2016

Author

Audience

Professional & Vocational

Illustrations

Worked examples or Exercises; 30 Halftones, black and white; 45 Line drawings, black and white

Pages

412

Series

Cambridge Studies in Advanced Mathematics

Dimensions

159x235x26

ISBN-13

9781107134119

Product ID

26602623

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