2 papers
math-ph2026
On determinantal formulas for hermitian random matrices
Di Yang, Jiayi Zhao, Jian Zhou
In this paper, we give a direct proof of determinantal formulas for connected -point functions for hermitian matrix models. We also give a new proof of KP integrability for them…
math.CO2026
Cusp Form Dimensions, Lattice Uniqueness, and LP Sharpness for Sphere Packing in Dimensions 8 and 24
Jian Zhou
The Cohn-Elkies linear programming (LP) bound for sphere packing is known to be sharp in dimensions 8 and 24 but in no other dimension above 2. We investigate why by examining thre…