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portada Schramm-Loewner Evolution (Springerbriefs in Mathematical Physics)
Type
Physical Book
Publisher
Author
Year
2017
Language
English
Pages
156
Format
Paperback
ISBN13
9783319653273
Edition No.
1
Categories

Schramm-Loewner Evolution (Springerbriefs in Mathematical Physics)

Antti Kemppainen (Author) · Springer · Paperback

Schramm-Loewner Evolution (Springerbriefs in Mathematical Physics) - Antti Kemppainen

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Synopsis "Schramm-Loewner Evolution (Springerbriefs in Mathematical Physics) "

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. The book is based on a course (with the same title) lectured by the author. 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 subject fairly quickly.

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