Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Part One Theory
- Part Two Examples
- Part Three Applications
- 13 Applications in Embedding Theory
- 14 Applications in Number Theory
- 15 Applications in Probability Theory
- 16 Applications in Functional Analysis
- 17 Future Directions
- References
- List of Notation
- Index
15 - Applications in Probability Theory
from Part Three - Applications
Published online by Cambridge University Press: 13 October 2020
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Part One Theory
- Part Two Examples
- Part Three Applications
- 13 Applications in Embedding Theory
- 14 Applications in Number Theory
- 15 Applications in Probability Theory
- 16 Applications in Functional Analysis
- 17 Future Directions
- References
- List of Notation
- Index
Summary
Understanding how the dimensions of sets change under distortion by a random function is an old problem in dimension theory. Here we discuss connections between the Assouad dimension and such problems.
- Type
- Chapter
- Information
- Assouad Dimension and Fractal Geometry , pp. 226 - 229Publisher: Cambridge University PressPrint publication year: 2020