Fractured Fractals and Broken Dreams | Buch

Cover: 9780198501664 | Fractured Fractals and Broken Dreams | Guy R David (u. a.) | Buch

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Sprache: Englisch

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Beschreibung

This book proposes new notions of coherent geometric structure. Fractal patterns have emerged in many contexts, but what exactly is a `pattern' and what is not? How can one make precise the structures lying within objects and the relationships between them? The foundations laid herein provide a fresh approach to a familiar field. From this emerges a wide range of open problems, large and small, and a variety of examples with diverse connections to other parts of mathematics.

Inhaltsverzeichnis

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

Details

Erscheinungsjahr:	1998
Fachbereich:	Geometrie
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
ISBN-13:	9780198501664
ISBN-10:	0198501668
Sprache:	Englisch
Einband:	Gebunden
Autor:	David, Guy R Semmes, Stephen W Pierre, Guy Rene Pierre
Hersteller:	Oxford University Press (UK)
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	234 x 156 x 14 mm
Von/Mit:	Guy R David (u. a.)
Erscheinungsdatum:	19.02.1998
Gewicht:	0,49 kg