activity
20152024
most citedImproved critical eigenfunction restriction estimates on Riemannian surfaces with nonpositive curvature

12 citations · 63 across the 20 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.CA2019

On Convexity, Mid-Point Convexity and Hausdorff Measures of Sets

Shaoming Guo, Tian Lan, Yakun Xi

We give a complete characterization of the size of Borel sets that are mid-point convex but not (essentially) convex, in terms of their Hausdorff dimensions and Hausdorff measures.

math.CA2019★ 9 cited

Microlocal decoupling inequalities and the distance problem on Riemannian manifolds

Alex Iosevich, Bochen Liu, Yakun Xi

We study the generalization of the Falconer distance problem to the Riemannian setting. In particular, we extend the result of Guth-Iosevich-Ou-Wang for the distance set in the pla…