A three-series theorem on Lie groups (Q297449)

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scientific article; zbMATH DE number 6598347
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A three-series theorem on Lie groups
scientific article; zbMATH DE number 6598347

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    A three-series theorem on Lie groups (English)
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    27 June 2016
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    Extending Kolmogorov's three-series theorem, the author obtains a necessary and sufficient condition for the convergence of products of independent elements of a Lie group. As an application, products of independent random matrices are considered. For earlier results in this direction see [\textit{V. M. Maksimov}, Mat. Sb., N. Ser. 91(133), 523--536 (1973; Zbl 0297.60008)].
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    Kolmogorov's three-series theorem
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    Lie group
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    products of independent random matrices
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