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Superconcentration and related topics / Sourav Chatterjee.

By: Material type: TextTextSeries: Springer monographs in mathematicsPublication details: New York : Springer, 2014.Description: ix, 156 p. : illustrations ; 24 cmISBN:
  • 9783319038858
Subject(s): DDC classification:
  • 519.2 23 C495
Contents:
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.
Summary: 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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Holdings
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
Total holds: 0

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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