Published February 2022
| Version Accepted Version
Journal Article
Open
Möbius Disjointness for C^(1+ε) Skew Products
Abstract
We show that for ε > 0, every C^(1+ε) skew product on T² over a rotation of T¹ satisfies Sarnak's conjecture. This is an improvement of earlier results of Kułaga–Przymus–Lemańczyk, Huang–Wang–Ye, and Kanigowski–Lemańczyk–Radziwiłł.
Additional Information
© The Author(s) 2020. Published by Oxford University Press. This article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://academic.oup.com/journals/pages/open_access/funder_policies/chorus/standard_publication_model). Received: 11 February 2020; Revision received: 28 May 2020; Accepted: 30 June 2020; Published: 31 July 2020. I would like to thank my PhD advisor, Maksym Radziwiłł, for introducing me to this problem and for general advice and encouragement. Thanks also to Adam Kanigowski and Mariusz Lemańczyk for pointing out a nice simplification to my initial proofs of Lemmas 3.2 and 3.3, and for providing valuable comments and references. I am grateful to the American Institute of Mathematics (AIM) for their 2018 workshop on "Sarnak's Conjecture", which played a role in motivating this work.Attached Files
Accepted Version - 2002.01076.pdf
Files
2002.01076.pdf
Additional details
Additional titles
- Alternative title
- Möbius Disjointness for C(1+ε) Skew Products
Identifiers
- Eprint ID
- 114365
- Resolver ID
- CaltechAUTHORS:20220418-173912400
Related works
- Describes
- https://arxiv.org/abs/2002.01076 (URL)
Dates
- Created
-
2022-04-18Created from EPrint's datestamp field
- Updated
-
2022-04-18Created from EPrint's last_modified field