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Table of contents (12 papers)
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Fractal Dimensions and Measures
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Random Graphs and Complexes
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Trees and Hyperbolicity
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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
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