Invariant measures and asymptotics for some skew products

Jon Aaronson, Hitoshi Nakada, Omri Sarig, Rita Solomyak

Research output: Contribution to journalArticle

20 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
Pages (from-to)93-134
Number of pages42
JournalIsrael Journal of Mathematics
Volume128
Publication statusPublished - 2002
Externally publishedYes

Fingerprint

Group Extension
Skew Product
Invariant Measure
Ergodic Theorem
Ergodicity
Logarithmic
Asymptotic Behavior

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Aaronson, J., Nakada, H., Sarig, O., & Solomyak, R. (2002). Invariant measures and asymptotics for some skew products. Israel Journal of Mathematics, 128, 93-134.

Invariant measures and asymptotics for some skew products. / Aaronson, Jon; Nakada, Hitoshi; Sarig, Omri; Solomyak, Rita.

In: Israel Journal of Mathematics, Vol. 128, 2002, p. 93-134.

Research output: Contribution to journalArticle

Aaronson, J, Nakada, H, Sarig, O & Solomyak, R 2002, 'Invariant measures and asymptotics for some skew products', Israel Journal of Mathematics, vol. 128, pp. 93-134.
Aaronson J, Nakada H, Sarig O, Solomyak R. Invariant measures and asymptotics for some skew products. Israel Journal of Mathematics. 2002;128:93-134.
Aaronson, Jon ; Nakada, Hitoshi ; Sarig, Omri ; Solomyak, Rita. / Invariant measures and asymptotics for some skew products. In: Israel Journal of Mathematics. 2002 ; Vol. 128. pp. 93-134.
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