``The Sierpinski gasket minus its bottom line as a tree of Sierpinski gaskets

DOI10.1007/s00209-023-03416-1OpenAlexW4390906397MaRDI QIDQ6184103

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Publication date: 24 January 2024

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

Full work available at URL: https://doi.org/10.1007/s00209-023-03416-1

zbMATH Keywords

traceSierpinski gasketshortest path metricjump kernel

Mathematics Subject Classification ID

Dirichlet forms (31C25) Probabilistic potential theory (60J45) Fractals (28A80) Potential theory on fractals and metric spaces (31E05)

Related Items (1)

A uniform trace theorem for Dirichlet forms on Sierpinski fractals

Cites Work

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• Boundary value problems for a family of domains in the Sierpinski gasket
• Dirichlet forms of fractals and products of random matrices
• Some properties of Laplacians on fractals
• Dirichlet forms and symmetric Markov processes
• Harmonic analysis for resistance forms.
• Dirichlet forms and associated heat kernels on the Cantor set induced by random walks on trees
• A trace theorem for the Dirichlet form on the Sierpinski gasket
• Resistance forms, quasisymmetric maps and heat kernel estimates
• Estimates of heat kernels for non-local regular Dirichlet forms
• Analysis and Geometry of the Measurable Riemannian Structure on the Sierpiński Gasket
• A harmonic calculus on the Sierpinski spaces
• Boundary value problems for harmonic functions on a domain in the Sierpinski gasket

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