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math-ph2020
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…
math-ph2020★ 2 cited
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} \,…
math-ph2020
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.