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Brownian Brownian motion. I
About this Title
N. Chernov and D. Dolgopyat
Publication: Memoirs of the American Mathematical Society
Publication Year:
2009; Volume 198, Number 927
ISBNs: 978-0-8218-4282-9 (print); 978-1-4704-0533-5 (online)
DOI: https://doi.org/10.1090/memo/0927
MathSciNet review: 2499824
MSC: Primary 37D50; Secondary 34C29, 60F17, 60J65, 82C31
Table of Contents
Chapters
- Chapter 1. Introduction
- Chapter 2. Statement of results
- Chapter 3. Plan of the proofs
- Chapter 4. Standard pairs and equidistribution
- Chapter 5. Regularity of the diffusion matrix
- Chapter 6. Moment estimates
- Chapter 7. Fast slow particle
- Chapter 8. Small large particle
- Chapter 9. Open problems
- Appendix A. Statistical properties of dispersing billiards
- Appendix B. Growth and distortion in dispersing billiards
- Appendix C. Distortion bounds for two particle system