Xiaoqi Huang

collaborators

4 papers

math.NT2025

Weighted geodesic restrictions of arithmetic eigenfunctions

Jiaqi Hou, Xiaoqi Huang

Let $X$ be an arithmetic hyperbolic surface, $ψ$ a Hecke-Maass form, $ℓ$ a geodesic segment on $X$ , and $μ$ a Borel measure supported on $ℓ$ with dimension greater than 1/2.…

math.AP2025

Strichartz estimates for the Schrödinger equation on Zoll manifolds

Xiaoqi Huang, Christopher D. Sogge

We obtain optimal space-time estimates in $L_{t, x}^{q}$ spaces for all $q \geq 2$ for solutions to the Schrödinger equation on Zoll manifolds, including, in particular, the standard ro…

cs.RO2025

Robotic Visual Instruction

Yanbang Li, Ziyang Gong, Haoyang Li +4

Recently, natural language has been the primary medium for human-robot interaction. However, its inherent lack of spatial precision introduces challenges for robotic task definitio…

math.AP2025

Lossless Strichartz and spectral projection estimates on unbounded manifolds

Xiaoqi Huang, Christopher D. Sogge, Zhongkai Tao +1

We prove new lossless Strichartz and spectral projection estimates on asymptotically hyperbolic surfaces, and, in particular, on all convex cocompact hyperbolic surfaces. In order…