Some properties of energy measures on Sierpinski gasket type fractals

DOI10.4171/JFG/36zbMath1357.28011arXiv1510.00475MaRDI QIDQ329454

Masanori Hino

Publication date: 21 October 2016

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00475

zbMATH Keywords

Dirichlet formSierpiński gasketself-similar setenergy measure

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Dirichlet forms (31C25) Fractals (28A80)

Related Items (7)

AVERAGE GEODESIC DISTANCE OF SIERPINSKI GASKET AND SIERPINSKI NETWORKS ⋮ Mean value property of harmonic functions on the tetrahedral Sierpinski gasket ⋮ Non-degeneracy of the harmonic structure on Sierpiński gaskets ⋮ Estimates of the Local Spectral Dimension of the Sierpinski Gasket ⋮ The heat equation for local Dirichlet forms: existence and blow up of nonnegative solutions ⋮ ECCENTRIC DISTANCE SUM OF SIERPIŃSKI GASKET AND SIERPIŃSKI NETWORK ⋮ The Kusuoka measure and the energy Laplacian on level-\(k\) Sierpiński gaskets

Cites Work

• Upper estimate of martingale dimension for self-similar fractals
• Dirichlet forms and symmetric Markov processes.
• Dirichlet forms of fractals and products of random matrices
• Dirichlet forms and analysis on Wiener space
• On singularity of energy measures on self-similar sets
• Martingale dimensions for fractals
• Measurable Riemannian structures associated with strong local Dirichlet forms
• Energy measures of harmonic functions on the Sierpinski gasket
• ON SINGULARITY OF ENERGY MEASURES ON SELF-SIMILAR SETS II
• Energy measures and indices of Dirichlet forms, with applications to derivatives on some fractals
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