Hill’s equation with random forcing parameters: The limit of delta function barriers

DOI10.1063/1.3158858zbMath1342.34115arXiv0906.1954OpenAlexW2138361999MaRDI QIDQ3069152

Fred C. Adams, Anthony M. Bloch

Publication date: 24 January 2011

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

Full work available at URL: https://arxiv.org/abs/0906.1954

zbMATH Keywords

Fokker-Planck equationmatrix algebrastochastic processesdifferential equationsSchrödinger equationcosmologyrandom processescosmic acceleration

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Random operators and equations (aspects of stochastic analysis) (60H25) Growth and boundedness of solutions to ordinary differential equations (34C11) Astrophysical cosmology (85A40)

Related Items (3)

Hill's equation with small fluctuations: Cycle to cycle variations and stochastic processes ⋮ Hill's equation with random forcing parameters: determination of growth rates through random matrices ⋮ CLT with explicit variance for products of random singular matrices related to Hill’s equation

Cites Work

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• The stability of large random matrices and their products
• Hill's Equation with Random Forcing Terms
• Exact Lyapunov exponent for infinite products of random matrices
• Inflationary universe: A possible solution to the horizon and flatness problems
• On the shape of the ground state eigenvalue density of a random Hill's equation
• Products of Random Matrices
• Noncommuting Random Products

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