Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Part One Theory
- Part Two Examples
- 6 Iterated Function Systems
- 7 Self-Similar Sets
- 8 Self-Affine Sets
- 9 Further Examples: Attractors and Limit Sets
- 10 Geometric Constructions
- 11 Two Famous Problems in Geometric Measure Theory
- 12 Conformal Dimension
- Part Three Applications
- References
- List of Notation
- Index
12 - Conformal Dimension
from Part Two - Examples
Published online by Cambridge University Press: 13 October 2020
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Part One Theory
- Part Two Examples
- 6 Iterated Function Systems
- 7 Self-Similar Sets
- 8 Self-Affine Sets
- 9 Further Examples: Attractors and Limit Sets
- 10 Geometric Constructions
- 11 Two Famous Problems in Geometric Measure Theory
- 12 Conformal Dimension
- Part Three Applications
- References
- List of Notation
- Index
Summary
In this chapter we briefly discuss conformal dimension and highlight some particular areas of interest in connection with the topics covered in this book. The concept of conformal dimension considers how much a given notion of dimension can drop under quasi-symmetric deformation.
- Type
- Chapter
- Information
- Assouad Dimension and Fractal Geometry , pp. 190 - 196Publisher: Cambridge University PressPrint publication year: 2020