Publications Influence

Share This Author

Hodge–GUE Correspondence and the Discrete KdV Equation

- B. Dubrovin, Si-Qi liu, Di Yang, You-jin Zhang
- MathematicsCommunications in Mathematical Physics
- 7 December 2016

We prove the conjectural relationship recently proposed in [9] between certain special cubic Hodge integrals of the Gopakumar--Mari\~no--Vafa type [17, 28] and GUE correlators, and the conjecture… Expand

Generating series for GUE correlators

- B. Dubrovin, Di Yang
- Computer Science
- 26 April 2016

TLDR

The partition function of the extended r-reduced Kadomtsev–Petviashvili hierarchy

- M. Bertola, Di Yang
- Mathematics
- 20 November 2014

We derive a particular solution of the extended r-reduced KP hierarchy, which is specified by a generalized string equation . The work is a generalization to arbitrary r ≥ 2 ?> of Buryakʼs recent… Expand

Classical Hurwitz numbers and related combinatorics

- B. Dubrovin, Di Yang, D. Zagier
- Mathematics
- 2016

In 1891 Hurwitz [30] studied the number Hg,d of genus g ≥ 0 and degree d ≥ 1 coverings of the Riemann sphere with 2g + 2d− 2 fixed branch points and in particular found a closed formula for Hg,d for… Expand

Geometric interpretation of Zhou’s explicit formula for the Witten–Kontsevich tau function

Based on the work of Itzykson and Zuber on Kontsevich’s integrals, we give a geometric interpretation and a simple proof of Zhou’s explicit formula for the Witten–Kontsevich tau function. More… Expand

Simple Lie algebras and topological ODEs

- M. Bertola, B. Dubrovin, Di Yang
- Mathematics
- 15 August 2015

For a simple Lie algebra $\mathfrak g$ we define a system of linear ODEs with polynomial coefficients, which we call the topological equation of $\mathfrak g$-type. The dimension of the space of… Expand

Matrix Resolvent and the Discrete KdV Hierarchy

- B. Dubrovin, Di Yang
- Mathematics
- 27 March 2019

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-function of the solution… Expand

Correlation functions of the KdV hierarchy and applications to intersection numbers over M¯g,n

- M. Bertola, B. Dubrovin, Di Yang
- Mathematics
- 24 April 2015

Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs

- B. Dubrovin, Si-Qi liu, Di Yang, You-jin Zhang
- Mathematics
- 16 September 2014

On tau-functions for the KdV hierarchy

- B. Dubrovin, Di Yang, D. Zagier
- Mathematics
- 20 December 2018

For an arbitrary solution to the KdV hierarchy, the generating series of logarithmic derivatives of the tau-function of the solution can be expressed by the basic matrix resolvent via algebraic… Expand

...

1

2

3

4

...