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Einstein relation on fractal objects

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Publication:765025
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DOI10.3934/dcdsb.2012.17.509zbMath1242.28010OpenAlexW2321138147MaRDI QIDQ765025

Uta Renata Freiberg

Publication date: 19 March 2012

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2012.17.509


zbMATH Keywords

self-similarityHausdorff dimensionLaplacianDirichlet formrandom walkfractalsspectral dimensionEinstein relationwalk dimension(strong) Markovian process


Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Sums of independent random variables; random walks (60G50) Dirichlet forms (31C25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Fractals (28A80) Hausdorff and packing measures (28A78) Boundary value problems on graphs and networks for ordinary differential equations (34B45)


Related Items (4)

Exact computation and approximation of stochastic and analytic parameters of generalized Sierpinski gaskets ⋮ Weyl asymptotics for Hanoi attractors ⋮ Sierpiński gasket versus Arrowhead curve ⋮ Some Remarks on the Hausdorff and Spectral Dimension of V-Variable Nested Fractals




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