Invariant measures and asymptotics for some skew products

Jon Aaronson, Hitoshi Nakada, Omri Sarig, Rita Solomyak

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21 Citations (Scopus)

Abstract

For certain group extensions of uniquely ergodic transformations, we identify all locally finite, ergodic, invariant measures. These are Maharam type measures. We also establish the asymptotic behaviour for these group extensions proving logarithmic ergodic theorems, and bounded rational ergodicity.

Original languageEnglish
Article numberBF02785420
Pages (from-to)93-134
Number of pages42
JournalIsrael Journal of Mathematics
Volume128
DOIs
Publication statusPublished - 2002 Jan 1

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ASJC Scopus subject areas

  • Mathematics(all)

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Aaronson, J., Nakada, H., Sarig, O., & Solomyak, R. (2002). Invariant measures and asymptotics for some skew products. Israel Journal of Mathematics, 128, 93-134. [BF02785420]. https://doi.org/10.1007/BF02785420