Discovery Projects - Grant ID: DP0345527

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP0345527

Funding Status
Closed

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Funded Activity Summary

Mathematical studies on the statistical properties of complex systems. Introduced in the late `50's to model nuclear spectra, random matrices are now standard in the theory of quantum chaos, mesoscopic phenomena and disordered systems. These are all examples of physical complex systems, characterized by unknown interactions leading to predictable behaviour due to symmetries. Vast mathematical structures result from the symmetries - integrable systems, Painleve equations, Macdonald polynomial theory to name a few. These structures will be further developed, leading to the analytic form of distribution functions quantifying classes of complex systems. Analogous statistical quantification is the essence of recently proposed methods to analyze artificial complex systems such as the stock market.

Funded Activity Details

Start Date: 01-01-2003

End Date: 31-12-2008

Funding Scheme: Discovery Projects

Funding Amount: $556,549.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Mathematical Logic, Set Theory, Lattices And Combinatorics | Statistics | Differential, Difference And Integral Equations | Statistical Theory

ANZSRC Socio-Economic Objective (SEO)

Microeconomic issues not elsewhere classified | Physical sciences | Mathematical sciences |

Other Keywords

Differential, Difference And Integral Equations | Mathematical Logic, Set Theory, Lattices And Combinatorics | Mathematical sciences | Microeconomic issues not elsewhere classified | Physical sciences | Statistical Theory | Statistics

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