2 citations · 2 across the 1 of their papers we have counts for
5 papers
Masur--Veech volumes of quadratic differentials and their asymptotics
Di Yang, Don Zagier, Youjin Zhang
Based on the Chen--Möller--Sauvaget formula, we apply the theory of integrable systems to derive three equations for the generating series of the Masur--Veech volumes ${\rm Vol} \,…
On tau-functions for the Toda lattice hierarchy
Di Yang
We extend a recent result of [13] for the KdV hierarchy to the Toda lattice hierarchy. Namely, for an arbitrary solution to the Toda lattice hierarchy, we define a pair of wave fun…
Remarks on intersection numbers and integrable hierarchies. I. Quasi-triviality
Boris Dubrovin, Di Yang
Explicit expression for quasi-triviality of scalar non-linear PDE is under consideration.
Matrix resolvent and the discrete KdV hierarchy
Boris Dubrovin, Di Yang
Based on the matrix-resolvent approach, for an arbitrary solution to the discrete KdV hierarchy, we define the tau-function of the solution, and compare it with another tau-functio…
On cubic Hodge integrals and random matrices
Boris Dubrovin, Di Yang
A conjectural relationship between the GUE partition function with even couplings and certain special cubic Hodge integrals over the moduli spaces of stable algebraic curves is und…