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Potential Theory on Sierpinski Carpets - With Applications to Uniformization (Paperback, 1st ed. 2020)
Loot Price: R1,539
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Potential Theory on Sierpinski Carpets - With Applications to Uniformization (Paperback, 1st ed. 2020)
Series: Lecture Notes in Mathematics, 2268
Expected to ship within 10 - 15 working days
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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.
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