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The state density of elliptic operators with random potentials. (English) Zbl 0497.60061


MSC:

60H25 Random operators and equations (aspects of stochastic analysis)
60G15 Gaussian processes
60J45 Probabilistic potential theory
35J10 Schrödinger operator, Schrödinger equation
Full Text: DOI

References:

[1] Agmon, S., Lectures on elliptic boundary value problems (1965), New York: Van Nostrand, New York · Zbl 0151.20203
[2] Doob, J. L., Stochastic processes (1967), New York: John Wiley, New York
[3] Fedosov, B. V.; Subin, M. A., The index of random, elliptic operators, I, Math. U.S.S.R. Sbornik, 34, 671-699 (1978) · Zbl 0448.47033
[4] Friedman, A., Stochastic differential equations and applications (1975), New York: Academic Press, New York · Zbl 0323.60056
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[8] Métivier, G., Valeurs propres de problèmes aux limites elliptiques irregulières, Bull. Soc. Math. France, Mémoire, 51-52, 125-219 (1977) · Zbl 0401.35088
[9] Pastur, L. A., Spectra of Random self-adjoint operators, Russian Math. Surveys, 28, 1-67 (1973) · Zbl 0277.60049
[10] Reed, M.; Simon, B., Analysis of operators, vol. 4 (1978), New York: Academic Press, New York · Zbl 0401.47001
[11] Tempel’Man, A. A., Ergodic theorems for general dynamical systems, Trans. Moscow Math. Soc, 26, 94-132 (1972) · Zbl 0281.28008
[12] Triebel, H., Interpolation theory, function spaces, differential operators (1978), Amsterdam: North-Holland, Amsterdam · Zbl 0387.46032
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