5 papers
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…
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\g…
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…
Drinfeld-Sokolov Hierarchies, Tau Functions, and Generalized Schur Polynomials
Mattia Cafasso, Ann du Crest de Villeneuve, Di Yang
For a simple Lie algebra and an irreducible faithful representation of , we introduce the Schur polynomials of -type. We then d…
On Gromov--Witten invariants of
Boris Dubrovin, Di Yang
We propose a conjectural explicit formula of generating series of a new type for Gromov--Witten invariants of of all degrees in full genera.