This article is cited 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.

UDC: 517.983+519.217.2

Received: 25.11.1994

DOI: 10.4213/mzm1808

 English version: Mathematical Notes, 1996, 60:1, 89–93

Bibliographic databases:

• 
• 
•