TY - BOOK AU - Chatterjee,Sourav TI - Superconcentration and related topics T2 - Springer monographs in mathematics SN - 9783319038858 U1 - 519.2 23 PY - 2014/// CY - New York PB - Springer KW - Probabilities KW - Mathematical statistics N1 - Includes bibliographical references and indexes; 1. Introduction -- 2. Markov semigroups -- 3. Superconcentration and chaos -- 4. Multiple valleys -- 5. Talagrand's method for proving superconcentration -- 6. The spectral method for proving superconcentration -- 7. Independent flips -- 8. Extremal fields -- 9. Further applications of hypercontractivity -- 10. The interpolation method for proving chaos -- 11. Variance lower bounds -- 12. Dimensions of level sets-- Appendices-- References-- Indexes N2 - This book is devoted to the topic of super concentration, chaos, and multiple valleys. It presents a wide array of examples on the subject, integrates new concepts, and gives a systematic account of the history and development of the features of random objects ER -