Discrepancy skew products and affine random walks

Jon Aaronson*, Michael Bromberg, Hitoshi Nakada

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We prove bounded rational ergodicity for some discrepancy skew products whose rotation number has bad rational approximation. This is done by considering the asymptotics of associated affine random walks.

Original languageEnglish
Pages (from-to)973-1010
Number of pages38
JournalIsrael Journal of Mathematics
Issue number2
StatePublished - 1 Sep 2017


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