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Literature cited
I. M. Lifshits, Collected Works [in Russian], Nauka, Moscow (1987).
I. M. Lifshits, “Energy spectrum structure and quantum states of disordered condensed systems,” Usp. Fiz. Nauk,83, No. 4, 617–663 (1964).
I. M. Lifshits, S. A. Gredeskul, and L. A. Pastur, Introduction to the Theory of Disordered Systems [in Russian], Nauka, Moscow (1982).
M. D. Donsker and S. R. S. Varadhan, “Asymptotic evaluation of certain Markov process expectations for large time,” Commun. Pure Appl. Math.,28, No. 1, 1–47 (1975).
M. D. Donsker and S. R. S. Varadhan, “Asymptotic evaluation of certain Markov process expectations for large time,” Commun. Pure Appl. Math.,28, No. 2, 279–301 (1975).
M. D. Donsker and S. R. S. Varadhan, “Asymptotic evaluation of certain Markov process expectations for large time,” Commun. Pure Appl. Math.,29, No. 4, 389–461 (1976).
I. Ya. Gol'dshteid, S. A. Molchanov, and L. A. Pastur, “A pure point spectrum of the Schrödinger operator,” Funkts. Anal. Prilozhen.,11, No. 1, 1–10 (1977).
A. D. Venttsel' and M. I. Freidlin, Fluctuations in Dynamical Systems under the Action of Small Random Perturbations [in Russian], Nauka, Moscow (1979).
L. N. Grenkova and S. A. Molchanov, “Asymptotics of Lifshits tails for random one-dimensional systems,” Funkts. Anal. Prilozhen.,22, No. 2, 73–74 (1988).
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Translated from Matematicheskie Zametki, Vol. 44, No. 1, pp. 38–50, July, 1988.
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Grenkova, L.N., Molchanov, S.A. Lifshits asymptotics for one-dimensional stochastic operators. Mathematical Notes of the Academy of Sciences of the USSR 44, 508–515 (1988). https://doi.org/10.1007/BF01158115
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DOI: https://doi.org/10.1007/BF01158115