Random matrix products, loop equations and integrability
Grant number: DP170102028 | Funding period: 2017 - 2020
This project aims to research integrable structures inherent in random matrix products and loop equations. These are topics in random matrix theory, which is well known for its diverse appearances in mathematics and its applications. Integrable structures provide random matrix theory with quantitative predictions for use in these applications; link seemingly distinct theories; and are a unifying theme of fundamental and lasting importance. This project will strengthen international collaborations, provide research training, and make the footprint of Australian mathematical science more visible.
Related publications (25)
CLASSICAL DISCRETE SYMPLECTIC ENSEMBLES ON THE LINEAR AND EXPONENTIAL LATTICE: SKEW ORTHOGONAL POLYNOMIALS AND CORRELATION FUNCTIONS
Peter J Forrester, Shi-Hao Li
The eigenvalue probability density function for symplectic invariant random matrix ensembles can be generalized to discrete settin..
A generalisation of the relation between zeros of the complex Kac polynomial and eigenvalues of truncated unitary matrices
Peter J Forrester, Jesper R Ipsen
The zeros of the random Laurent series 1/μ-∑j=1∞cj/zj, where each cj is an independent standard complex Gaussian, is known to corr..