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Teoriya Veroyatnostei i ee Primeneniya, 1980, Volume 25, Issue 3, Pages 513–522
(Mi tvp1091)
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This article is cited in 5 scientific papers (total in 5 papers)
Central limit theorem for the spectrum of random Jacobi's matrices
A. Ja. Reznikova Moscow
Abstract:
We consider the Jacobi's difference operator (infinite-dimensional matrix) such
that the random variables on its main diagonal are independent and identically distributed
with continuous density having compact support. The spectral properties of this
operator are studied and the central limit theorem for the spectral distribution function
is proved.
Received: 19.03.1979
Citation:
A. Ja. Reznikova, “Central limit theorem for the spectrum of random Jacobi's matrices”, Teor. Veroyatnost. i Primenen., 25:3 (1980), 513–522; Theory Probab. Appl., 25:3 (1981), 504–513
Linking options:
https://www.mathnet.ru/eng/tvp1091 https://www.mathnet.ru/eng/tvp/v25/i3/p513
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