Discovery Projects - Grant ID: DP210102887

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP210102887

Funding Status
Active

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Funded Activity Summary

Expanding and linking random matrix theory. Fundamental to random matrix theory are certain universality laws, holding in scaling limits to infinite matrix size. A basic question is to quantify the rate of convergence to the universal laws. The analysis of data for the Riemann zeros from prime number theory, and of the spectral form factor probe of chaos in black hole physics, are immediate applications. An analysis involving integrable structures holding for finite matrix size and their asymptotics is proposed, allowing the rate to be quantified for a large class of model ensembles, and providing predictions in the various applied settings. The broad project is to be networked with researchers in the Asia-Oceania region, with the aim of establishing leadership status for Australia.

Funded Activity Details

Start Date: 31-03-2021

End Date: 30-03-2024

Funding Scheme: Discovery Projects

Funding Amount: $507,648.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Mathematical Physics not elsewhere classified | Ordinary Differential Equations, Difference Equations and Dynamical Systems | Mathematical Physics | Approximation Theory and Asymptotic Methods

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Approximation Theory and Asymptotic Methods | Expanding Knowledge in the Mathematical Sciences | Mathematical Physics | Mathematical Physics not elsewhere classified | Ordinary Differential Equations, Difference Equations and Dynamical Systems

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