Potential Theory on Sierpinski Carpets
With Applications to Uniformization
(Sprache: Englisch)
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....
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Klappentext zu „Potential Theory on Sierpinski Carpets “
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.Inhaltsverzeichnis zu „Potential Theory on Sierpinski Carpets “
- Introduction. - Harmonic Functions on Sierpinski Carpets. - Uniformization of Sierpinski Carpets by Square Carpets.
Autoren-Porträt von Dimitrios Ntalampekos
Dimitrios Ntalampekos is a Milnor Lecturer at Stony Brook University, working in the field of analysis on metric spaces. He completed his PhD degree at the University of California, Los Angeles under the supervision of Mario Bonk. He holds a MS in Mathematics from the same university, and pursued his undergraduate studies at the Aristotle University of Thessaloniki.
Bibliographische Angaben
- Autor: Dimitrios Ntalampekos
- 2020, 1st ed. 2020, X, 186 Seiten, 4 farbige Abbildungen, Maße: 16,3 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3030508048
- ISBN-13: 9783030508043
Sprache:
Englisch
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