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Grant Award View - GA142286

Expanding and linking random matrix theory

Contact Details

ARC NCGP General Enquiries

:
02 6287 6600

:

GA ID:
GA142286
Agency:
Australian Research Council
Approval Date:
11-Dec-2020
Publish Date:
15-Dec-2020
Category:
Science, Technology, Engineering and Mathematics (STEM) Research
Grant Term:
31-Mar-2021 to 30-Mar-2024
Original: 1-Jan-2021 to 31-Dec-2023
Value (AUD):
$507,648.00 (GST inclusive where applicable)
Variations:

One-off/Ad hoc:
No
Aggregate Grant Award:
No

PBS Program Name:
ARC 20/21 Discovery
Grant Program:
Discovery Projects
Grant Activity:
Expanding and linking random matrix theory
Purpose:
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.

GO ID:
GO Title:
Discovery Projects for funding commencing in 2021
Internal Reference ID:
DP21 Round 1
Selection Process:
Targeted or Restricted Competitive

Confidentiality - Contract:
No
Confidentiality - Outputs:
No

Grant Recipient Details

Recipient Name:
The University of Melbourne
Recipient ABN:
84 002 705 224

Grant Recipient Location

Suburb:
UNIVERSITY OF MELBOURNE
Town/City:
UNIVERSITY OF MELBOURNE
Postcode:
3010
State/Territory:
VIC
Country:
AUSTRALIA

Grant Delivery Location

State/Territory:
VIC
Postcode:
3010
Country:
AUSTRALIA

Contact Details

ARC NCGP General Enquiries

:
02 6287 6600

: