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Möbius Disjointness for Distal Flows in Short Intervals

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Abstract

We prove the Möbius disjointness conjecture in short intervals for a class of skew products on the 2-torus, which includes Furstenberg’s example of irregular flows.

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Authors and Affiliations

  1. Data Science Institute, Shandong University, **an, 250100, P. R. China

    Ke Wang

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  1. Ke Wang
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Correspondence to Ke Wang.

Additional information

Supported by the National Key Reserarch and Development Program of China (Grant No. 2021YFA1000700)

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Wang, K. Möbius Disjointness for Distal Flows in Short Intervals. Acta. Math. Sin.-English Ser. 38, 1512–1522 (2022). https://doi.org/10.1007/s10114-022-0433-y

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  • DOI: https://doi.org/10.1007/s10114-022-0433-y

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