Zhiren Wang

activity

20192024

most citedMöbius Disjointness for Nilsequences Along Short Intervals

5 citations · 5 across the 3 of their papers we have counts for

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math.DS2024

Arbitrarily slow decay in the logarithmically averaged Sarnak conjecture

Amir Algom, Zhiren Wang

In 2017 Tao proposed a variant Sarnak's Möbius disjointness conjecture with logarithmic averaging: For any zero entropy dynamical system $(X, T)$ , $\frac{1}{\log N} \sum_{n=1} ^N \f…

math.DS2022

Arbitrarily slow decay in the Möbius disjointness conjecture

Amir Algom, Zhiren Wang

Sarnak's Möbius disjointness conjecture asserts that for any zero entropy dynamical system $(X, T)$ , $\frac{1}{N} \sum_{n = 1}^{N} f (T^{n} x) μ (n) = o (1)$ for every $f \in C (X)$ …

math.DS2019★ 5 cited

Möbius Disjointness for Nilsequences Along Short Intervals

Xiaoguang He, Zhiren Wang

For a nilmanifold $G /Γ$ , a $1$ -Lipschitz continuous function $F$ and the Möbius sequence $μ (n)$ , we prove a bound on the decay of the averaged short interval correlation $$\frac1{H…