Yakun Xi

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

collaborators

Showing 2018Show all

2 papers · 1 filter

math.CA2018★ 11 cited

$ℓ^{2}$ Decoupling in $R^{2}$ for curves with Vanishing Curvature

Chandan Biswas, Maxim Gilula, Linhan Li +2

We expand the class of curves $(φ_{1} (t), φ_{2} (t)), t \in [0, 1]$ for which the $ℓ^{2}$ decoupling conjecture holds for $2 \leq p \leq 6$ . Our class of curves includes all real-analytic r…

math.AP2018★ 2 cited

Improved Generalized Periods Estimates Over Curves on Riemannian Surfaces with Nonpositive Curvature

Emmett L. Wyman, Yakun Xi

We show that on compact Riemann surfaces of nonpositive curvature, the generalized periods, i.e. the $ν$ -th order Fourier coefficients of eigenfunctions $e_{λ}$ over a closed smooth…

ℓ2 Decoupling in R2 for curves with Vanishing Curvature

Improved Generalized Periods Estimates Over Curves on Riemannian Surfaces with Nonpositive Curvature

$ℓ^{2}$ Decoupling in $R^{2}$ for curves with Vanishing Curvature