Assouad dimension and fractal geometry /

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Bibliographic Details
Author / Creator:Fraser, Jonathan M., 1987- author.
Imprint:Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2021.
©2021
Description:xvi, 269 pages : illustrations ; 24 cm.
Language:English
Series:Cambridge tracts in mathematics ; 222
Cambridge tracts in mathematics ; 222.
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12526446
Hidden Bibliographic Details
ISBN:9781108478656
1108478654
9781108778459
9781108800952
Notes:Includes bibliographical references (pages 250-263) and index.
Summary:"This book provides a thorough treatment of the Assouad dimension, as well as its many variants, in the context of fractal geometry. The book is split into three parts. In the first part, the basic theory is set up including how the various dimensions relate to each other and how they behave under Lipschitz and Holder mappings. In the second part, many examples are discussed including self-similar sets, self-affine sets, limit sets of Kleinian groups and Mandelbrot percolation. In the third part, several applications are discussed including to problems in number theory, embedding theory, probability theory and functional analysis. Several open problems are discussed at the end"--
Other form:Online version: Fraser, Jonathan M., 1987- Assouad dimension and fractal geometry 1. New York : Cambridge University Press, 2020. 9781108778459

Eckhart

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Call Number: QA614.86.F83 2021
c.1 Available Loan period: standard loan  Request for Pickup Need help? - Ask a Librarian