The Laplacian on the level 3 Sierpinski gasket via the method of averages

DOI10.1016/j.chaos.2004.06.060zbMath1102.31013OpenAlexW1988611579MaRDI QIDQ1776611

Dong-Lei Tang, Wei Yi Su

Publication date: 12 May 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.06.060

zbMATH Keywords

Dirichlet formsfractalsSierpinski gasketLaplacians

Mathematics Subject Classification ID

Diffusion processes (60J60) Fractals (28A80) Discrete potential theory (31C20)

Related Items (8)

THE AVERAGE TRAPPING TIME WITH NON-NEAREST-NEIGHBOR JUMPS ON THE LEVEL-3 SIERPINSKI GASKET ⋮ Sampling theory with average values on the Sierpinski gasket ⋮ The Laplacian on p.c.f. self-similar sets via the method of averages ⋮ MEAN VALUE PROPERTY OF HARMONIC FUNCTION ON THE HIGHER-DIMENSIONAL SIERPINSKI GASKET ⋮ DIRICHLET PROBLEM OF POISSON EQUATIONS AND VARIATIONAL PRINCIPLE ON A TYPE OF FRACTAL SETS ⋮ The Laplacian on \(\beta \)-sets via the method of averages ⋮ Mean geodesic distance of the level-\(n\) Sierpinski gasket ⋮ DIRICHLET PROBLEM OF POISSON EQUATIONS ON A TYPE OF HIGHER-DIMENSIONAL FRACTAL SETS

Cites Work

• Unnamed Item
• The Laplacian on the Sierpinski gasket via the method of averages.
• Dirichlet forms on fractals: Poincaré constant and resistance
• Taylor approximations on Sierpinski gasket type fractals
• Brownian motion on fractals and function spaces
• Harmonic Calculus on P.C.F. Self-Similar Sets
• A harmonic calculus on the Sierpinski spaces
• Brownian motion on nested fractals

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