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
