The group of diffeomorphisms of the half-line, and random Cantor setsстатья
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Дата последнего поиска статьи во внешних источниках: 10 июня 2020 г.
Аннотация:A certain one-parameter family of measures is constructed on the space of closed totally disconnected subsets of the half-line without isolated points. It is shown that these measures are quasi-invariant with respect to the group of smooth diffeomorphisms of the half-line, and the Radon–Nikodym derivatives are explicitly computed.