Double ramification cycles and integrable hierarchies
A Buryak - Communications in Mathematical Physics, 2015 - Springer
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 …
cohomological field theory. We conjecture that in the semisimple case our hierarchy is …
Correlation functions of the KdV hierarchy and applications to intersection numbers over M¯ g, n
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 …
of the KdV hierarchy. In particular applications, our formulation gives closed formulæ of a …
Time consistency of dynamic risk measures and dynamic performance measures generated by distortion functions
TR Bielecki, I Cialenco, H Liu - Stochastic Models, 2024 - Taylor & Francis
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 …
discrete time setup and to investigate the corresponding dynamic coherent acceptability …
[HTML][HTML] Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs
B Dubrovin, SQ Liu, D Yang, Y Zhang - Advances in Mathematics, 2016 - Elsevier
For an arbitrary semisimple Frobenius manifold we construct Hodge integrable hierarchy of
Hamiltonian partial differential equations. In the particular case of quantum cohomology the …
Hamiltonian partial differential equations. In the particular case of quantum cohomology the …
Deep-water and shallow-water limits of statistical equilibria for the intermediate long wave equation
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 …
laws of the intermediate long wave equation (ILW) and their convergence properties in the …
Six-dimensional supersymmetric gauge theories, quantum cohomology of instanton moduli spaces and gl (N) Quantum Intermediate Long Wave Hydrodynamics
G Bonelli, A Sciarappa, A Tanzini, P Vasko - Journal of High Energy …, 2014 - Springer
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 …
with eight supercharges on ℂ 2× S 2 provides the quantization of the integrable system of …
Hodge–GUE correspondence and the discrete KdV equation
B Dubrovin, SQ Liu, D Yang, Y Zhang - Communications in Mathematical …, 2020 - Springer
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 …
Number Theory Phys 11: 311–336, 2017) between certain special cubic Hodge integrals of …
Enumerative geometry, tau-functions and Heisenberg–Virasoro algebra
A Alexandrov - Communications in Mathematical Physics, 2015 - Springer
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 …
namely the Kontsevich–Witten, Hurwitz and Hodge tau-functions. The relations allow us to …
Recursion relations for double ramification hierarchies
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 …
hierarchy of hamiltonian PDEs introduced in Buryak (CommunMath Phys 336 (3): 1085 …
Extended r-spin theory in all genera and the discrete KdV hierarchy
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 …
curves generalizing Witten's r-spin classes. They are parameterized by a phase space which …