Condensed Julia Sets, with an Application to a Fractal Lattice Model Hamiltonian

DOI10.2307/1999952zbMath0565.30018OpenAlexW4241628425MaRDI QIDQ3679454

Michael F. Barnsley, Andrew N. Harrington, Jeffrey S. Geronimo

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/1999952

zbMATH Keywords

spectrumlattice modelsJulia setJacobi matrixbalanced measure

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Ergodic theory (37A99)

Related Items

Teichmüller space for iterated function systems ⋮ Spectral zeta functions of fractals and the complex dynamics of polynomials ⋮ Function weighted measures and orthogonal polynomials on Julia sets ⋮ Wave equation on one-dimensional fractals with spectral decimation and the complex dynamics of polynomials ⋮ Iterated networks and the spectra of renormalizable electromechanical systems ⋮ Singularly continuous spectrum of a self-similar Laplacian on the half-line

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