In this paper we present a new construction of a hamiltonian hierarchy associated to a
cohomological field theory. We conjecture that in the semisimple case our hierarchy is …

We derive an explicit generating function of correlation functions of an arbitrary tau-function
of the KdV hierarchy. In particular applications, our formulation gives closed formulæ of a …

The aim of this work is to study risk measures generated by distortion functions in a dynamic
discrete time setup and to investigate the corresponding dynamic coherent acceptability …

For an arbitrary semisimple Frobenius manifold we construct Hodge integrable hierarchy of
Hamiltonian partial differential equations. In the particular case of quantum cohomology the …

We study the construction of invariant measures associated with higher order conservation
laws of the intermediate long wave equation (ILW) and their convergence properties in the …

A bstract We show that the exact partition function of U (N) six-dimensional gauge theory
with eight supercharges on ℂ 2× S 2 provides the quantization of the integrable system of …

We prove the conjectural relationship recently proposed in Dubrovin and Yang (Commun
Number Theory Phys 11: 311–336, 2017) between certain special cubic Hodge integrals of …

In this paper we establish relations between three enumerative geometry tau-functions,
namely the Kontsevich–Witten, Hurwitz and Hodge tau-functions. The relations allow us to …

In this paper we study various properties of the double ramification hierarchy, an integrable
hierarchy of hamiltonian PDEs introduced in Buryak (CommunMath Phys 336 (3): 1085 …

In this paper we construct a family of cohomology classes on the moduli space of stable
curves generalizing Witten's r-spin classes. They are parameterized by a phase space which …