TY - BOOK AU - Chernov,Nikolai AU - Dolgopyat,Dmitry TI - Brownian Brownian motion-I T2 - Memoirs of the American Mathematical Society, SN - 9781470405335 (online) AV - QA274.75 .C456 2009 U1 - 519.2/33 22 PY - 2009/// CY - Providence, R.I. PB - American Mathematical Society KW - Diffusion processes KW - Brownian movements KW - Limit theorems (Probability theory) N1 - "Volume 198, number 927 (fourth of 6 numbers )."; Includes bibliographical references and index; 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0927 UR - http://dx.doi.org/10.1090/memo/0927 ER -