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This article is cited in 2 scientific papers (total in 2 papers)
On the theorem on asymptotic equidistribution of the convolution powers of symmetric measures on a unimodular group
M. G. Shur Moscow State Institute of Electronics and Mathematics
Abstract:
The theorem on the asymptotic equidistribution of the convolution powers of a symmetric probability measure given on a unimodular group [1] deals with a measure whose convolution powers, starting from one of them, load an arbitrary prescribed nonempty subset of the group. In the present note, we indicate the modifications that arise under the replacement of the above condition by the requirement that the smallest closed subgroup (of the group considered) generated by the support of this measure coincide with the group itself.
Received: 25.11.1994
Citation:
M. G. Shur, “On the theorem on asymptotic equidistribution of the convolution powers of symmetric measures on a unimodular group”, Mat. Zametki, 60:1 (1996), 120–126; Math. Notes, 60:1 (1996), 89–93
Linking options:
https://www.mathnet.ru/eng/mzm1808https://doi.org/10.4213/mzm1808 https://www.mathnet.ru/eng/mzm/v60/i1/p120
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