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Schramm?Loewner Evolution

Language EnglishEnglish
Book Paperback
Book Schramm?Loewner Evolution Antti Kemppainen
Libristo code: 16730467
Publishers Springer International Publishing AG, January 2018
This book is a short, but complete, introduction to the Loewner equation and the SLEs, which are a f... Full description
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This book is a short, but complete, introduction to the Loewner equation and the SLEs, which are a family of random fractal curves, as well as the relevant background in probability and complex analysis. The connection to statistical physics is also developed in the text in an example case. First three chapters are devoted to the background material, but at the same time, give the reader a good understanding on the overview on the subject and on some aspects of conformal invariance. The chapter on the Loewner equation develops in detail the connection of growing hulls and the differential equation satisfied by families of conformal maps. The Schramm--Loewner evolutions are defined and their basic properties are studied in the following chapter, and the regularity properties of random curves as well as scaling limits of discrete random curves are investigated in the final chapter. The book is aimed at graduate students or researchers who want to learn the subjec t fairly quickly

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About the book

Full name Schramm?Loewner Evolution
Language English
Binding Book - Paperback
Date of issue 2018
Number of pages 145
EAN 9783319653273
ISBN 331965327X
Libristo code 16730467
Weight 337
Dimensions 155 x 235 x 9
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