Fluctuation of spectra in random media

DOI10.3792/pjaa.62.246zbMath0615.60060OpenAlexW2066927375MaRDI QIDQ1820511

Shin Ozawa

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.246

zbMATH Keywords

eigenvalue problemasymptotic behaviourrandom medianormalized eigenfunctionfluctuation of spectra

Mathematics Subject Classification ID

Stochastic analysis (60H99) Partial differential equations of mixed type and mixed-type systems of partial differential equations (35M99)

Cites Work

• Random media and eigenvalues of the Laplacian
• On an elaboration of M. Kac's theorem concerning eigenvalues of the Laplacian in a region with randomly distributed small obstacles
• Asymptotic property of an eigenfunction of the Laplacian under singular variation of domains - the Neumann condition -
• Spectral properties of random media
• The Laplacian in regions with many small obstacles: Fluctuations around the limit operator
• Potential and scattering theory on wildly perturbed domains
• Probabilistic methods in some problems of scattering theory
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