Fractal Geometry and Stochastics V

  • Christoph Bandt
  • Kenneth Falconer
  • Martina Zähle
Conference proceedings

Part of the Progress in Probability book series (PRPR, volume 70)

Table of contents

  1. Front Matter
    Pages i-x
  2. Geometric Measure Theory

    1. Front Matter
      Pages 1-1
    2. Kenneth Falconer, Jonathan Fraser, Xiong Jin
      Pages 3-25
    3. Philipp Schönhöfer, Klaus Mecke
      Pages 39-52
  3. Self-Similar Fractals and Recurrent Structures

    1. Front Matter
      Pages 75-75
    2. De-Jun Feng, Yang Wang
      Pages 93-103
    3. Marc Kesseböhmer, Sanguo Zhu
      Pages 105-120
    4. Mark Pollicott
      Pages 121-142
  4. Analysis and Algebra on Fractals

    1. Front Matter
      Pages 155-155
    2. Rostislav Grigorchuk, Volodymyr Nekrashevych, Zoran Šunić
      Pages 175-207
    3. Michael Hinz, Alexander Teplyaev
      Pages 209-227
    4. Michel L. Lapidus, Goran Radunović, Darko Žubrinić
      Pages 229-257
  5. Multifractal Theory

    1. Front Matter
      Pages 259-259
    2. Julien Barral
      Pages 261-278
    3. Patrice Abry, Stéphane Jaffard, Roberto Leonarduzzi, Clothilde Melot, Herwig Wendt
      Pages 279-313
  6. Random Constructions

    1. Front Matter
      Pages 315-315
    2. Esa Järvenpää, Maarit Järvenpää
      Pages 317-325
    3. András Telcs, Marianna E.-Nagy
      Pages 327-340
  7. Back Matter
    Pages 341-341

About these proceedings


This book brings together leading contributions from the fifth conference on Fractal Geometry and Stochastics held in Tabarz, Germany, in March 2014.

The book is divided into five sections covering different facets of this fast developing area: geometric measure theory, self-similar fractals and recurrent structures, analysis and algebra on fractals, multifractal theory, and random constructions. There are state-of-the-art surveys as well as papers highlighting more specific recent advances. The authors are world-experts who present their topics comprehensibly and attractively. The book provides an accessible gateway to the subject for newcomers as well as a reference for recent developments for specialists.

Authors include: Krzysztof Barański, Julien Barral, Kenneth Falconer, De-Jun Feng, Peter J. Grabner, Rostislav Grigorchuk, Michael Hinz, Stéphane Jaffard, Maarit Järvenpää, Antti Käenmäki, Marc Kesseböhmer, Michel Lapidus, Klaus Mecke, Mark Pollicott,  Michał Rams, Pablo Shmerkin, and András Telcs.


fractal structures geometric measure theory multifractal analysis probabilistic analysis recursive constructions

Editors and affiliations

  • Christoph Bandt
    • 1
  • Kenneth Falconer
    • 2
  • Martina Zähle
    • 3
  1. 1.Institut für Mathematik und InformatikUniversität GreifswaldGreifswaldGermany
  2. 2.Mathematical InstituteUniversity of St AndrewsSt AndrewsUnited Kingdom
  3. 3.Institut für MathematikFriedrich-Schiller-Universität JenaJenaGermany

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