5 papers · 1 filter
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…
Mapping partition functions
Di Yang, Don Zagier
We introduce an infinite group action on partition functions of WK type, meaning of the type of the partition function in the famous result of Witten and Kontsevich ex…