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Potential theory on Sierpiński carpe...

Ntalampekos, Dimitrios.

Potential theory on Sierpiński carpetswith applications to uniformization /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Potential theory on Sierpiński carpetsby Dimitrios Ntalampekos.
Reminder of title:	with applications to uniformization /
Author:	Ntalampekos, Dimitrios.
Published:	Cham :Springer International Publishing :2020.
Description:	x, 186 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Potential theory (Mathematics)
Online resource:	https://doi.org/10.1007/978-3-030-50805-0
ISBN:	9783030508050$q(electronic bk.)

Potential theory on Sierpiński carpetswith applications to uniformization /
Ntalampekos, Dimitrios.

Potential theory on Sierpiński carpetswith applications to uniformization /[electronic resource] :by Dimitrios Ntalampekos. - Cham :Springer International Publishing :2020. - x, 186 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v.22680075-8434 ;. - Lecture notes in mathematics ;2035..

This self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpinski carpets, and proposes a theory based on the latest developments in the field of analysis on metric spaces. The first part focuses on the development of an innovative theory of harmonic functions that is suitable for Sierpinski carpets but differs from the classical approach of potential theory in metric spaces. The second part describes how this theory is utilized to prove a uniformization result for Sierpinski carpets. This book is intended for researchers in the fields of potential theory, quasiconformal geometry, geometric group theory, complex dynamics, geometric function theory and PDEs.

ISBN: 9783030508050$q(electronic bk.)

Standard No.: 10.1007/978-3-030-50805-0doiSubjects--Topical Terms:

205715
Potential theory (Mathematics)

LC Class. No.: QA825 / .N735 2020

Dewey Class. No.: 515.96

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