The integrated density of states for the difference Laplacian on the modified Koch graph

DOI10.1007/BF02098488zbMath0786.58039MaRDI QIDQ1308720

Leonid A. Malozemov

Publication date: 6 January 1994

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

integrated density of statesdifference Laplacianmodified Koch graph

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items

On discontinuity and tail behaviours of the integrated density of states for nested pre-fractals ⋮ On eigenvalue problems for Laplacians on p.c.f. self-similar sets ⋮ Random walk and chaos of the spectrum. Solvable model ⋮ Dirac and magnetic Schrödinger operators on fractals ⋮ Potts model partition functions on two families of fractal lattices ⋮ Distributions of localized eigenvalues of Laplacians on post critically finite self-similar sets ⋮ Growth of Self‐Similar Graphs ⋮ A duality between Schroedinger operators on graphs and certain Jacobi matrices ⋮ Green functions on self-similar graphs and bounds for the spectrum of the Laplacian

Cites Work

• The difference Laplacian \(\Delta\) on the modified Koch curve
• Invariant sets under iteration of rational functions
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