2 citations · 5 across the 4 of their papers we have counts for
11 papers · 1 filter
GUE via Frobenius Manifolds. I. From Matrix Gravity to Topological Gravity and Back
Di Yang
Dubrovin establishes the relationship between the GUE partition function and the partition function of Gromov--Witten invariants of the complex projective line. In this paper, we g…
On the spectral problem of the quantum KdV hierarchy
Giulio Ruzza, Di Yang
The spectral problem for the quantum dispersionless Korteweg-de Vries (KdV) hierarchy, aka the quantum Hopf hierarchy, is solved by Dubrovin. In this article, following Dubrovin, w…
On an extension of the generalized BGW tau-function
Di Yang, Chunhui Zhou
For an arbitrary solution to the Burgers--KdV hierarchy, we define the tau-tuple of the solution. We show that the product admits Buryak's residue formula. The…
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} \,…
Hamiltonian perturbations at the second order approximation
Di Yang
Integrability condition of Hamiltonian perturbations of integrable Hamiltonian PDEs of hydrodynamic type up to the second order approximation is considered.
The Hodge-FVH Correspondence
Si-Qi Liu, Di Yang, Youjin Zhang +1
The Hodge-FVH correspondence establishes a relationship between the special cubic Hodge integrals and an integrable hierarchy, which is called the fractional Volterra hierarchy. In…