Superconcentration and related topics / Sourav Chatterjee.
Material type:
TextSeries: Springer monographs in mathematicsPublication details: New York : Springer, 2014.Description: ix, 156 p. : illustrations ; 24 cmISBN: - 9783319038858
- 519.2 23 C495
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 519.2 C495 (Browse shelf(Opens below)) | Available | 136421 |
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| 519.2 C456 Fundamentals of probability theory / | 519.2 C461 Probability theory and harmonic analysis | 519.2 C462 Elementary probability models and statistical inference | 519.2 C495 Superconcentration and related topics / | 519.2 C516 Markov random fields | 519.2 C532 Introduction to probability theory and stochastic processes / | 519.2 C543 Stochastic geometry and its applications / |
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.
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.
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