Schramm–Loewner Evolution
Resource Information
The work Schramm–Loewner Evolution represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Schramm–Loewner Evolution
Resource Information
The work Schramm–Loewner Evolution represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Schramm–Loewner Evolution
 Statement of responsibility
 by Antti Kemppainen
 Subject

 Complex Systems
 Probability Theory and Stochastic Processes
 Several Complex Variables and Analytic Spaces
 Physics
 Statistical Physics and Dynamical Systems
 Mathematical physics
 Probabilities
 Mathematical physics
 Probabilities
 Mathematical Physics
 System theory
 Electronic resources
 Functions of complex variables
 Physics
 System theory
 Mathematical Physics
 Functions of complex variables
 Physics
 Mathematical Methods in Physics
 Language
 eng
 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
 Image bit depth
 0
 LC call number
 QC5.53
 Literary form
 non fiction
 Series statement
 SpringerBriefs in Mathematical Physics,
 Series volume
 24
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