Schramm Loewner Evolution is popular PDF and ePub book, written by Antti Kemppainen in 2017-12-22, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Schramm Loewner Evolution can be Read Online from any device for your convenience.
Schramm Loewner Evolution Book PDF Summary
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.
Detail Book of Schramm Loewner Evolution PDF
- Author : Antti Kemppainen
- Release : 22 December 2017
- Publisher : Springer
- ISBN : 9783319653297
- Genre : Science
- Total Page : 151 pages
- Language : English
- PDF File Size : 13,7 Mb
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