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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
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Schramm-Loewner Evolution (Paperback, 1st ed. 2017)
Loot Price: R2,227
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Schramm-Loewner Evolution (Paperback, 1st ed. 2017)
Series: SpringerBriefs in Mathematical Physics, 24
Expected to ship within 10 - 15 working days
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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. 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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