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Superconcentration and Related Topics Springer Monographs in Mathematics by Sourav Chatterjee (auth.) is a nonfiction available to read on EtoBox.

What is Superconcentration and Related Topics Springer Monographs in Mathematics about?

"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 mea

Who reads Superconcentration and Related Topics Springer Monographs in Mathematics?

Author

Sourav Chatterjee (auth.)

Publisher

Springer International Publishing, Imprint Springer. Springer International Publishing ; Imprint Springer

Published

2014

Language

EN

ISBN

9783319038865

Category

nonfiction

Subjects

Science, Mathematics, Physics