Abstract
We prove that, for the main kind of limit theorems (laws of large numbers, central limit theorems, large deviations principles, laws of the iterated logarithm) asymptotic results for selfadjoint random operators yield equivalent results for their eigenvalues and associated projections.
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Mas, A., Menneteau, L. (2003). Perturbation Approach Applied to the Asymptotic Study of Random Operators. In: Hoffmann-Jørgensen, J., Wellner, J.A., Marcus, M.B. (eds) High Dimensional Probability III. Progress in Probability, vol 55. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8059-6_8
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DOI: https://doi.org/10.1007/978-3-0348-8059-6_8
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9423-4
Online ISBN: 978-3-0348-8059-6
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