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Collapsible probability measures and concentration functions on Lie groups
Published online by Cambridge University Press: 01 July 1997
Abstract
Given a locally compact group G and a probability measure μ on G it is of interest to know, in various situations, whether there exist divergent sequences {gn} such that {gn μg−1n is relatively compact (see for example [DM3] and [DS]); this phenomenon may be viewed as ‘collapsing’ of the measure. It is the purpose of this note to prove Theorem 1 below and give certain applications to the asymptotic behaviour of concentration functions.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 122 , Issue 1 , July 1997 , pp. 105 - 113
- Copyright
- Cambridge Philosophical Society 1997
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