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  • Conference proceedings
  • © 2021

Fractal Geometry and Stochastics VI

Birkhäuser

Part of the book series: Progress in Probability (PRPR, volume 76)

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Table of contents (12 papers)

  1. Front Matter

    Pages i-xii
  2. Fractal Dimensions and Measures

    1. Front Matter

      Pages 1-1
    2. Interpolating Between Dimensions

      • Jonathan M. Fraser
      Pages 3-24
  3. Random Graphs and Complexes

    1. Front Matter

      Pages 99-99
    2. Fractal Dimension of Discrete Sets and Percolation

      • Markus Heydenreich
      Pages 101-124
  4. Trees and Hyperbolicity

    1. Front Matter

      Pages 141-141
    2. The Continuum Self-Similar Tree

      • Mario Bonk, Huy Tran
      Pages 143-189
  5. Physical Models and Fractals

    1. Front Matter

      Pages 207-207
    2. Space-Time Duality for Semi-Fractional Diffusions

      • Peter Kern, Svenja Lage
      Pages 255-272
  6. Back Matter

    Pages 299-307

About this book

This collection of contributions originates from the well-established conference series "Fractal Geometry and Stochastics" which brings together researchers from different fields using concepts and methods from fractal geometry.

Carefully selected papers from keynote and invited speakers are included, both discussing exciting new trends and results and giving a gentle introduction to some recent developments. The topics covered include Assouad dimensions and their connection to analysis, multifractal properties of functions and measures, renewal theorems in dynamics, dimensions and topology of random discrete structures, self-similar trees, p-hyperbolicity, phase transitions from continuous to discrete scale invariance, scaling limits of stochastic processes, stemi-stable distributions and fractional differential equations, and diffusion limited aggregation.


Representing a rich source of ideas and a good starting point for more advanced topics in fractal geometry, the volume will appeal to both established experts and newcomers.


Editors and Affiliations

  • Fakultät für Mathematik, Technische Universität Chemnitz, Chemnitz, Germany

    Uta Freiberg

  • Mathematical Institute, University of Oxford, Oxford, UK

    Ben Hambly

  • Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany

    Michael Hinz

  • Institut für Stochastik, Karlsruher Institut für Technologie, Karlsruhe, Germany

    Steffen Winter

Bibliographic Information

  • Book Title: Fractal Geometry and Stochastics VI

  • Editors: Uta Freiberg, Ben Hambly, Michael Hinz, Steffen Winter

  • Series Title: Progress in Probability

  • DOI: https://doi.org/10.1007/978-3-030-59649-1

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-59648-4Published: 24 March 2021

  • Softcover ISBN: 978-3-030-59651-4Published: 24 March 2022

  • eBook ISBN: 978-3-030-59649-1Published: 23 March 2021

  • Series ISSN: 1050-6977

  • Series E-ISSN: 2297-0428

  • Edition Number: 1

  • Number of Pages: XII, 307

  • Number of Illustrations: 218 b/w illustrations, 18 illustrations in colour

  • Topics: Probability Theory and Stochastic Processes, Geometry

Buy it now

Buying options

eBook USD 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 179.99
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