Assouad Dimension and Fractal Geometry by Jonathan M Fraser

Assouad Dimension and Fractal Geometry by Jonathan M Fraser

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Zusammenfassung

This book is the first thorough treatment of the Assouad dimension in fractal geometry. Aimed at researchers and graduate students, it will have broad appeal among pure mathematicians due to its discussion of the Assouad dimension's many applications to number theory, dynamical systems, harmonic analysis, and probability theory.

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Assouad Dimension and Fractal Geometry by Jonathan M Fraser

The Assouad dimension is a notion of dimension in fractal geometry that has been the subject of much interest in recent years. This book, written by a world expert on the topic, is the first thorough account of the Assouad dimension and its many variants and applications in fractal geometry and beyond. It places the theory of the Assouad dimension in context among up-to-date treatments of many key advances in fractal geometry, while also emphasising its diverse connections with areas of mathematics including number theory, dynamical systems, harmonic analysis, and probability theory. A final chapter detailing open problems and future directions for research brings readers to the cutting edge of this exciting field. This book will be an indispensable part of the modern fractal geometer's library and a valuable resource for pure mathematicians interested in the beauty and many applications of the Assouad dimension.
'The book is very well written and illustratedThe reader gets to know an almost complete spectrum of resent results and historical developments concerning Assouad dimension.' Jörg Neunhäuserer, European Mathematical Society
Jonathan M. Fraser is a Reader in Mathematics at the University of St Andrews. He works in fractal geometry and related areas.
SKU Nicht verfügbar
ISBN 13 9781108478656
ISBN 10 1108478654
Titel Assouad Dimension and Fractal Geometry
Autor Jonathan M Fraser
Serie Cambridge Tracts In Mathematics
Buchzustand Nicht verfügbar
Verlag Cambridge University Press
Erscheinungsjahr 2020-10-29
Seitenanzahl 284
Hinweis auf dem Einband Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis Nicht verfügbar