Abstract
In 2017 Tao proposed a variant Sarnak's Möbius disjointness conjecture with logarithmic averaging: For any zero entropy dynamical system (X,T), [Formula presneted] for every f∈C(X) and every x∈X. We construct examples showing that this o(1) can go to zero arbitrarily slowly. Nonetheless, all of our examples satisfy the conjecture.
| Original language | English (US) |
|---|---|
| Article number | 128621 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 540 |
| Issue number | 1 |
| DOIs | |
| State | Published - Dec 1 2024 |
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
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