Changbiao Jian

collaborators

2 papers

math.AP2025

Sharp spectral-cluster restriction bounds for orthonormal systems

Changbiao Jian, Xing Wang, Yakun Xi

Let $Σ$ be a smooth submanifold of a compact Riemannian manifold $M$ . We study the restriction to $Σ$ of densities generated by $L^{2} (M)$ -orthonormal systems of eigenfunctions whose…

math.CA2024

Falconer distance problem on Riemannian manifolds

Changbiao Jian, Bochen Liu, Yakun Xi

We prove that on a $d$ -dimensional Riemannian manifold, the distance set of a Borel set $E$ has a positive Lebesgue measure if $$\dim_{\mathcal{H}}(E)>\frac d2+\frac14+\frac{1-(-1)…