Skip to main content
  • Conference proceedings
  • © 2014

Geometry and Analysis of Fractals

Hong Kong, December 2012

  • Promote discussion on the very activity field of fractal geometry and its aspects in analysis, dynamical systems and stochastics
  • Written by international leading experts on their current research in an expository style
  • Suitable for both researchers as well as graduate students with reasonable background in analysis or probability
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 88)

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (13 papers)

  1. Front Matter

    Pages i-viii
  2. Mandelbrot Cascades and Related Topics

    • Julien Barral
    Pages 1-45
  3. Law of Pure Types and Some Exotic Spectra of Fractal Spectral Measures

    • Xin-Rong Dai, Xing-Gang He, Chun-Kit Lai
    Pages 47-64
  4. Some Aspects of Multifractal Analysis

    • Ai-Hua Fan
    Pages 115-145
  5. Heat Kernels on Metric Measure Spaces

    • Alexander Grigor’yan, Jiaxin Hu, Ka-Sing Lau
    Pages 147-207
  6. Stochastic Completeness of Jump Processes on Metric Measure Spaces

    • Alexander Grigor’yan, Xueping Huang
    Pages 209-224
  7. Recent Progress on Dimensions of Projections

    • Pertti Mattila
    Pages 283-301
  8. The Geometry of Fractal Percolation

    • MichaÅ‚ Rams, Károly Simon
    Pages 303-323
  9. Stability Properties of Fractal Curvatures

    • Martina Zähle
    Pages 343-354
  10. Back Matter

    Pages 355-358

About this book

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.

Editors and Affiliations

  • Department of Mathematics, The Chinese University of Hong Kong, Hongkong, Hong Kong SAR

    De-Jun Feng

  • Department of Mathematics, The Chinese University of Hong Kong, Hong Kong, Hong Kong SAR

    Ka-Sing Lau

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access