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The Concentration of Measure Phenomenon (Mathematical Surveys & Monographs, 89) by Michel Ledoux is a nonfiction available to read on EtoBox.

What is The Concentration of Measure Phenomenon (Mathematical Surveys & Monographs, 89) about?

It was undoubtedly a necessary task to collect all the results on the concentration of measure during the past years in a monograph. The author did this very successfully and the book is an important contribution to the topic. It will surely influence further research in this area considerably. The book is very well written, and it was a great pleasure for the reviewer to read it. —Mathematical Reviews The observation of the concentration of measure phenomenon is inspired by isoperimetric inequalities. A familiar example is the way the uniform measure on the standard sphere $S^n$ becomes concentrated around the equator as the dimension gets large. This property may be interpreted in terms of functions on the sphere with small oscillations, an idea going back to Lévy. The phenomenon also occurs in probability, as a version of the law of large numbers, due to Emile Borel. This book offers the basic techniques and examples of the concentration of measure phenomenon. The concentration of measure phenomenon was put forward in the early seventies by V. Milman in the asymptotic geometry of Banach spaces. It is of powerful interest in applications in various areas, such as geometry, functi

Who reads The Concentration of Measure Phenomenon (Mathematical Surveys & Monographs, 89)?

Author

Michel Ledoux

Publisher

American Mathematical Society

Published

2001

Language

EN

ISBN

9780821828649

Category

nonfiction

Subjects

Mathematics, Stem