TY  - BOOK
AU  - Bishop,Christopher J.
AU  - Peres,Y.
TI  - Fractals in probability and analysis
T2  - Cambridge studies in advanced mathematics
SN  - 9781316460238 (ebook)
AV  - QA614.86 .B57 2017
U1  - 514/.742 23
PY  - 2017///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Fractal analysis
KW  - Problems, exercises, etc
KW  - Geometric analysis
KW  - Probability measures
N1  - Title from publisher's bibliographic system (viewed on 31 Jan 2017)
N2  - 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
UR  - https://doi.org/10.1017/9781316460238
ER  -