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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-ph2026
On enumeration of -angulations of surfaces from an integrability perspective
Elba Garcia-Failde, Jianghao Xu, Di Yang +1
In this paper, we study generating series enumerating polygonal angulations of closed oriented surfaces of fixed genus, focusing on -angulations with or , $ν\geq…
math-ph2026
On uniform large genus asymptotics of Witten's intersection numbers
Jindong Guo, Di Yang, Don Zagier
Following ideas from [14], we give a uniform large genus asymptotics for primitive psi-class intersection numbers on the moduli space of stable algebraic curves, and extend this re…