3 papers
math.SP2026
Pólya's Conjecture for the Neumann Eigenvalues on Euclidean Balls
Yutian Li
We prove Pólya's conjectured lower bound for the Neumann eigenvalue counting function of Euclidean balls. If is the ball of radius , then, for every $d…
math.AP2026
Derivation and local well-posedness of a relativistic quantum hydrodynamic system on the Heisenberg group
Ben Duan, Yutian Li, Rongrong Yan +1
We derive and analyze a relativistic quantum hydrodynamic (RQHD) system on the Heisenberg group. Starting from the Klein--Gordon--Poisson system, we apply the Madelung transformati…
cs.GT2024
On the Decomposition of Differential Game
Nanxiang Zhou, Jing Dong, Yutian Li +1
To understand the complexity of the dynamic of learning in differential games, we decompose the game into components where the dynamic is well understood. One of the possible tools…