Ruixiang Zhang

activity

20162020

most citedAn improved result for Falconer's distance set problem in even dimensions

8 citations · 11 across the 3 of their papers we have counts for

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math.CA2020★ 8 cited

An improved result for Falconer's distance set problem in even dimensions

Xiumin Du, Alex Iosevich, Yumeng Ou +2

We show that if compact set $E \subset R^{d}$ has Hausdorff dimension larger than $\frac{d}{2} + \frac{1}{4}$ , where $d \geq 4$ is an even integer, then the distance set of $E$ …

math.CA2017★ 3 cited

Fractal Uncertainty Principle with Explicit Exponent

Long Jin, Ruixiang Zhang

We prove an explicit formula for the dependence of the exponent in the fractal uncertainty principle of Bourgain-Dyatlov on the dimension and on the regularity constant for the reg…