Potential theory on the Sierpinski gasket

DOI10.1007/BF01446569zbMath0702.60066MaRDI QIDQ915269

Volker Metz

Publication date: 1991

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164778

zbMATH Keywords

Brownian motionHausdorff dimensionGreen functionpotential theory of harmonic kernels

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Two-dimensional potential theory (31A99)

Related Items (3)

Renormalisation of finitely ramified fractals ⋮ Nonlinear diffusion equations on bounded fractal domains ⋮ Harmonic calculus on fractals—A measure geometric approach II

Cites Work

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• On eigenvalue problems for the random walks on the Sierpinski pre- gaskets
• On a spectral analysis for the Sierpiński gasket.
• Dirichlet forms of fractals and products of random matrices
• On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
• Brownian motion on the Sierpinski gasket
• Potential theory. An analytic and probabilistic approach to balayage
• A harmonic calculus on the Sierpinski spaces
• Brownian motion on nested fractals

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