Geometry and Analysis of Fractals

Hong Kong, December 2012

  • De-Jun Feng
  • Ka-Sing Lau
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 88)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Julien Barral
    Pages 1-45
  3. Xin-Rong Dai, Xing-Gang He, Chun-Kit Lai
    Pages 47-64
  4. Ai-Hua Fan
    Pages 115-145
  5. Alexander Grigor’yan, Jiaxin Hu, Ka-Sing Lau
    Pages 147-207
  6. Alexander Grigor’yan, Xueping Huang
    Pages 209-224
  7. Pertti Mattila
    Pages 283-301
  8. Michał Rams, Károly Simon
    Pages 303-323
  9. Martina Zähle
    Pages 343-354
  10. Back Matter
    Pages 355-358

About these proceedings

Introduction

This volume collects thirteen expository or survey articles on topics including Fractal Geometry, Analysis of Fractals, Multifractal Analysis, Ergodic Theory and Dynamical Systems, Probability and Stochastic Analysis, written by the leading experts in their respective fields. The articles are based on papers presented at the International Conference on Advances on Fractals and Related Topics, held on December 10-14, 2012 at the Chinese University of Hong Kong. The volume offers insights into a number of exciting, cutting-edge developments in the area of fractals, which has close ties to and applications in other areas such as analysis, geometry, number theory, probability and mathematical physics.   

Keywords

Dirichlet form Ergodic average Fractal curvature Heat kernel Metric measure space, Multifractal, percolation Self-similar sets and measures Sierpinski carpet Spectral measure Transfer operator

Editors and affiliations

  • De-Jun Feng
    • 1
  • Ka-Sing Lau
    • 2
  1. 1.Department of MathematicsThe Chinese University of Hong KongHongkongHong Kong SAR
  2. 2.Department of MathematicsThe Chinese University of Hong KongHong KongHong Kong SAR

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-43920-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2014
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-662-43919-7
  • Online ISBN 978-3-662-43920-3
  • Series Print ISSN 2194-1009
  • Series Online ISSN 2194-1017
  • About this book