Yakun Xi

collaborators

3 papers

math.AP2026

Polygons and multi-product of eigenfunctions

Emmett L. Wyman, Yakun Xi, Yi Zhang

Let $M$ be a compact Riemannian manifold without boundary, with $L^{2}$ -normalized Laplace-Beltrami eigenfunctions ${e_{j}}_{j}$ , which satisfy $I^_{g} e_{j} = - I^»_{j}^{2} e_{j}$ . We study the f…

math.AP2026

Kuznecov formulae for fractal measures

Yakun Xi

Let $(M, g)$ be a compact, connected Riemannian manifold of dimension $n \geq 2$ , and let ${e_{j}}_{j = 0}^{\infty}$ be an orthonormal basis of Laplace eigenfunctions $-Î_g e_j=Î»_j^2 e_…

math.AP2025

Kuznecov remainders and generic metrics

Vadim Kaloshin, Emmett L. Wyman, Yakun Xi

We obtain improved remainder estimates in the Kuznecov sum formula for period integrals of Laplace eigenfunctions on a Riemannian manifold $M$ . Building upon the two-term asymptoti…