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Superconcentration and Related Topics (Hardcover, 2014) Loot Price: R1,598 Discovery Miles 15 980 You Save: R128 (7%)

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Superconcentration and Related Topics (Hardcover, 2014): Sourav Chatterjee
Superconcentration and Related Topics (Hardcover, 2014): Sourav Chatterjee

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Superconcentration and Related Topics (Hardcover, 2014)

Sourav Chatterjee

Series: Springer Monographs in Mathematics

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List price R1,726 Loot Price R1,598 Discovery Miles 15 980 You Save R128 (7%)

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A certain curious feature of random objects, introduced by the author as "super concentration," and two related topics, "chaos" and "multiple valleys," are highlighted in this book. Although super concentration has established itself as a recognized feature in a number of areas of probability theory in the last twenty years (under a variety of names), the author was the first to discover and explore its connections with chaos and multiple valleys. He achieves a substantial degree of simplification and clarity in the presentation of these findings by using the spectral approach.

Understanding the fluctuations of random objects is one of the major goals of probability theory and a whole subfield of probability and analysis, called concentration of measure, is devoted to understanding these fluctuations. This subfield offers a range of tools for computing upper bounds on the orders of fluctuations of very complicated random variables. Usually, concentration of measure is useful when more direct problem-specific approaches fail; as a result, it has massively gained acceptance over the last forty years. And yet, there is a large class of problems in which classical concentration of measure produces suboptimal bounds on the order of fluctuations. Here lies the substantial contribution of this book, which developed from a set of six lectures the author first held at the Cornell Probability Summer School in July 2012.

The book is interspersed with a sizable number of open problems for professional mathematicians as well as exercises for graduate students working in the fields of probability theory and mathematical physics. The material is accessible to anyone who has attended a graduate course in probability.


Imprint: Springer International Publishing AG
Country of origin: Switzerland
Series: Springer Monographs in Mathematics
Release date: 2014
First published: 2014
Authors: Sourav Chatterjee
Dimensions: 234 x 156 x 11mm (L x W x T)
Format: Hardcover - Laminated cover
Pages: 165
Edition: 2014
ISBN-13: 978-3-319-03885-8
Barcode: 9783319038858
Categories: Books > Science & Mathematics > Mathematics > Applied mathematics
Books > Science & Mathematics > Mathematics > Applied mathematics > General
Books > Science & Mathematics > Mathematics > Probability & statistics
Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics
LSN: 3-319-03885-0

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