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- W3100155689 abstract "A simple proof of the fact that each rank-one infinite measure preserving (i.m.p.) transformation is subsequence weakly rationally ergodic is found. Some classes of funny rank-one i.m.p. actions of Abelian groups are shown to be subsequence weakly rationally ergodic. A constructive definition of finite funny rank for actions of arbitrary infinite countable groups is given. It is shown that the ergodic i.m.p. transformations of balanced finite funny rank are subsequence weakly rationally ergodic. It is shown that the ergodic probability preserving transformations of exact finite rank, the ergodic Bratteli–Vershik maps corresponding to the ‘consecutively ordered’ Bratteli diagrams of finite rank, some their generalizations and the ergodic interval exchange transformations are partially rigid." @default.
- W3100155689 created "2020-11-23" @default.
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- W3100155689 date "2015-04-13" @default.
- W3100155689 modified "2023-09-24" @default.
- W3100155689 title "Actions of finite rank: weak rational ergodicity and partial rigidity" @default.
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- W3100155689 doi "https://doi.org/10.1017/etds.2015.5" @default.
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