Fractured Fractals and Broken Dreams: Self-similar Geometry through Metric and Measure
Author:   Guy David (Professor of Mathematics, Professor of Mathematics, University Paris XI and Institut Universitaire de France, France) ,  Stephen Semmes (Professor of Mathematics, Professor of Mathematics, Rice University, Texas, USA)
Publisher:   Oxford University Press
Volume:   7
ISBN:  

9780198501664


Pages:   224
Publication Date:   27 November 1997
Format:   Hardback
Availability:   To order   Availability explained
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Fractured Fractals and Broken Dreams: Self-similar Geometry through Metric and Measure


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Author:   Guy David (Professor of Mathematics, Professor of Mathematics, University Paris XI and Institut Universitaire de France, France) ,  Stephen Semmes (Professor of Mathematics, Professor of Mathematics, Rice University, Texas, USA)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Volume:   7
Dimensions:   Width: 16.20cm , Height: 1.70cm , Length: 24.20cm
Weight:   0.460kg
ISBN:  

9780198501664


ISBN 10:   0198501668
Pages:   224
Publication Date:   27 November 1997
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

1: Basic definitions 2: Examples 3: Comparison 4: The Heisenberg group 5: Background information 6: Stronger self-similarity for BPI spaces 7: BPI equivalence 8: Convergence of metric spaces 9: Weak tangents 10: Rest stop 11: Spaces looking down on other spaces 12: Regular mappings 13: Sets made from nested cubes 14: Big pieces of bilipschitz mappings 15: Uniformly disconnected spaces 16: Doubling measures and geometry 17: Deformations of BPI spaces 18: Snapshots 19: Some sets that are far from BPI 20: A few more questions References Index

Reviews

The book contains a great variety of concepts, examples, results, and open problems...the presentation is both intuitive and precise. Zentralblatt fur Mathematik, 887 Most of the material in this book is completely new and the style, though unusual, is a refreshing change from convetional texts. The authors have taken a natural but not too stront notion relating to sets of fine structure, and follwed through its properties, relationships and applications. They freely admit that their framework is not theonly possible one, but by the end of the book they have more than justified theri claim that their approach is both rich and flexible. The book is recommended not only for those interested in the broad subject of he geometry of fractal sets and measures but also as a fine insight into how two eminent mathematicians explore and develop a new area.


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