Format:
1 online resource (ix, 402 Seiten)
ISBN:
9781316460238
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
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 978-1-107-13411-9
Language:
English
Subjects:
Mathematics
Keywords:
Fraktal
;
Wahrscheinlichkeitsmaß
DOI:
10.1017/9781316460238
URL:
Volltext
(URL des Erstveröffentlichers)
Author information:
Peres, Yuval
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