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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

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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