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The difference Laplacian \(\Delta\) on the modified Koch curve

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Publication:1264800
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zbMath0905.39006MaRDI QIDQ1264800

Leonid A. Malozemov

Publication date: 2 February 1999

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

eigenvaluesspectrumHausdorff dimensiondifference Laplacianmodified Koch curve


Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectrum, resolvent (47A10) Elliptic equations on manifolds, general theory (58J05) Discrete version of topics in analysis (39A12) Difference operators (39A70) Fractals (28A80) Linear difference operators (47B39) Hausdorff and packing measures (28A78)


Related Items (5)

Enumeration of matchings in families of self-similar graphs ⋮ Random walk and chaos of the spectrum. Solvable model ⋮ Resistance scaling and the number of spanning trees in self-similar lattices ⋮ Potts model partition functions on two families of fractal lattices ⋮ The integrated density of states for the difference Laplacian on the modified Koch graph




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