17 citations · 72 across the 27 of their papers we have counts for
8 papers · 1 filter
On the metric theory of multiplicative Diophantine approximation
Han Yu
In 1962, Gallagher proved an higher dimensional version of Khintchine's theorem on Diophantine approximation. Gallagher's theorem states that for any non-increasing approximation f…
Times two, three, five orbits on
Han Yu
In this paper, we study orbit closures under diagonal torus actions. We show that if is not contained in any rational lines, then its orbit under the $\times…
Dimensions of the popcorn graph
Haipeng Chen, Jonathan M. Fraser, Han Yu
The 'popcorn function' isThe `popcorn function' is a well-known and important example in real analysis with many interesting features. We prove that the box dimension of the graph…
Dyadic Approximation in the Middle-Third Cantor Set
Demi Allen, Sam Chow, Han Yu
In this paper, we study the metric theory of dyadic approximation in the middle-third Cantor set. This theory complements earlier work of Levesley, Salp, and Velani (2007), who inv…
Fourier decay of self-similar measures and self-similar sets of uniqueness
Péter P. Varjú, Han Yu
In this paper, we investigate the Fourier transform of self-similar measures on R. We provide quantitative decay rates of Fourier transform of some self-similar measures. Our metho…
On the metric theory of inhomogeneous Diophantine approximation: An Erdős-Vaaler type result
Han Yu
In 1958, Szüsz proved an inhomogeneous version of Khintchine's theorem on Diophantine approximation. Szüsz's theorem states that for any non-increasing approximation function $ψ:\m…