finelybook
Fractal Dimensions of Networks
by 作者: Eric Rosenberg
pages 页数: 524 pages
Publisher Finelybook 出版社: ; 1st ed. 2020 edition (8 July 2020)
Language 语言: English
ISBN-10 书号: 3030431681
ISBN-13 书号: 9783030431686
Book Description
Current interest in fractal dimensions of networks is the result of more than a century of previous research on dimensions. Fractal Dimensions of Networks ties the theory and methods for computing fractal dimensions of networks to the “classic” theory of dimensions of geometric objects.
The goal of the book is to provide a unified treatment of fractal dimensions of sets and networks. Since almost all of the major concepts in fractal dimensions originated in the study of sets,the book achieves this goal by 作者: first clearly presenting,with an abundance of examples and illustrations,the theory and algorithms for sets,and then showing how the theory and algorithms have been applied to networks. Thus,the book presents the classical theory and algorithms for the box counting dimension for sets,and then presents the box counting dimension for networks. All the major fractal dimensions are studied,e.g.,the correlation dimension,the information dimension,the Hausdorff dimension,the multifractal spectrum,as well as many lesser known dimensions. Algorithm descriptions are accompanied by 作者: worked examples,many applications of the methods are presented,and many exercises,ranging in difficulty from easy to research level,are included.
