Orthogonal polynomials associated to almost periodic Schrödinger operators. A trend towards random orthogonal polynomials

DOI10.1016/0377-0427(93)90313-ZzbMath0793.35023MaRDI QIDQ1318441

Daniel Bessis, Giorgio Mantica

Publication date: 22 August 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

chaotic motionorthogonal polynomialsSchrödinger equationalgorithmic complexitysingular spectrumquasiperiodic functions of their indexrenormalization equation

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Schrödinger operator, Schrödinger equation (35J10)

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Cites Work

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• Almost periodic Schrödinger operators: A review
• A family of almost periodic Schrödinger operators
• The Arnol'd cat: Failure of the correspondence principle
• Iterated function systems and the global construction of fractals