如果喜欢该文档，欢迎点击头像下方的“+加关注”并订阅【2017新书】文库，https://bbs.pinggu.org/forum.php?mod=collection&action=view&ctid=3238

Fractals in Probability and Analysis

本帖隐藏的内容

Fractals in Probability and Analysis.pdf
大小:(4.66 MB)

 马上下载

格式：pdf




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.