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Fractal Geometry and Stochastics VI

  • Conference proceedings
  • © 2021

Overview

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

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Table of contents (12 papers)

  1. Fractal Dimensions and Measures

  2. Random Graphs and Complexes

  3. Trees and Hyperbolicity

  4. Physical Models and Fractals

Keywords

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

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