Format:
1 Online-Ressource (IX, 402 Seiten)
,
Illustrationen
Edition:
first published 2017
ISBN:
9781316460238
,
9781107134119
Series Statement:
Cambridge studies in advanced mathematics 162
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 31 Jan 2017)
Additional Edition:
ISBN 9781107134119
Additional Edition:
Erscheint auch als Druck-Ausgabe Bishop, Christopher J. Fractals in probability and analysis Cambridge : Cambridge University Press, 2017 ISBN 9781107134119
Language:
English
Subjects:
Mathematics
Keywords:
Fraktal
;
Wahrscheinlichkeitsmaß
DOI:
10.1017/9781316460238
Author information:
Peres, Yuval
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