scientific article; zbMATH DE number 1424082
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Publication:4945274
zbMath0947.60086MaRDI QIDQ4945274
Publication date: 6 November 2000
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heat kernelDirichlet formspectral counting functiongeneral branching processrandom recurisve fractals
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Dirichlet forms (31C25) Fractals (28A80) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
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Geometry and Laplacian on discrete magic carpets ⋮ Spectral asymptotics for \(V\)-variable Sierpinski gaskets ⋮ On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates ⋮ Harmonic analysis for resistance forms. ⋮ Some Remarks on the Hausdorff and Spectral Dimension of V-Variable Nested Fractals ⋮ On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates. II: Some borderline examples ⋮ Resistance forms, quasisymmetric maps and heat kernel estimates
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