SpringerBriefs in Mathematical Physics
cover

Schramm–Loewner Evolution

Authors: Kemppainen, Antti

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eBook $54.99
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  • ISBN 978-3-319-65329-7
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Softcover $69.99
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  • ISBN 978-3-319-65327-3
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About this book

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.

Table of contents (6 chapters)

Table of contents (6 chapters)
  • Introduction

    Kemppainen, Antti

    Pages 1-10

  • Introduction to Stochastic Calculus

    Kemppainen, Antti

    Pages 11-34

  • Introduction to Conformal Mappings

    Kemppainen, Antti

    Pages 35-47

  • Loewner Equation

    Kemppainen, Antti

    Pages 49-67

  • Schramm–Loewner Evolution

    Kemppainen, Antti

    Pages 69-100

Buy this book

eBook $54.99
price for Mexico (gross)
  • ISBN 978-3-319-65329-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for Mexico
  • ISBN 978-3-319-65327-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Schramm–Loewner Evolution
Authors
Series Title
SpringerBriefs in Mathematical Physics
Series Volume
24
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
The Author(s)
eBook ISBN
978-3-319-65329-7
DOI
10.1007/978-3-319-65329-7
Softcover ISBN
978-3-319-65327-3
Series ISSN
2197-1757
Edition Number
1
Number of Pages
IX, 145
Number of Illustrations
15 b/w illustrations, 10 illustrations in colour
Topics