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math.AP2026
Improved leading coefficient in the individual Berezin-Li-Yau bound via energy orthogonality
Yifan Wang, Hehu Xie
Let be the th eigenvalue of the Dirichlet Laplacian on an open set of finite positive measure. The direct individual consequence of the Berezin--Li--…
math.NA2026
Regularity Analysis and Tensor Neural Network Methods for Quasiperiodic Elliptic Equations
Jingze Ren, Yifan Wang, Hehu Xie +1
This paper investigates quasiperiodic elliptic equations using a well-established projection method, by which the original problem is reformulated as a degenerate periodic variatio…