Level sets of harmonic functions on the Sierpiński gasket

DOI10.1007/BF02384540zbMath1038.31005MaRDI QIDQ1416633

Andrew Q. Yingst, Robert S. Strichartz, Anders Öberg

Publication date: 15 December 2003

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

harmonic functions, Sierpiński gasket

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (6)

Calculus on the Sierpinski gasket. I: Polynomials, exponentials and power series ⋮ Metrics of hyperbolic type on bounded fractals ⋮ Products of random matrices and derivatives on p.c.f. fractals ⋮ Approximation of invariant measures for random iterations ⋮ Calculus on the Sierpinski gasket II: Point singularities, eigenfunctions, and normal derivatives of the heat kernel ⋮ Algorithms for approximation of invariant measures for IFS

Cites Work

• Dirichlet forms of fractals and products of random matrices
• Fractal differential equations on the Sierpiński gasket
• What is not in the domain of the Laplacian on Sierpinski gasket type fractals
• Taylor approximations on Sierpinski gasket type fractals
• Gradients on fractals
• A harmonic calculus on the Sierpinski spaces
• Effective resistances for harmonic structures on p.c.f. self-similar sets
• Sur un Theoreme Spectral et son Application aux Noyaux Lipchitziens
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