Discovery Early Career Researcher Award - Grant ID: DE150100030

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DE150100030

Funding Status
Closed

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Funded Activity Summary

A new concept of independence in noncommutative probability theory. The concept of independence lies at the very core of the probability theory. Many attempts to establish the general notion of independence in noncommutative probability theory have led to only two examples so far: the classical (commutative) independence and the free one introduced by Voiculescu. Every other approach has failed to demonstrate the analogues of the key probabilistic results, such as the Law of Large Numbers and the Central Limit Theorem. There is an urgent need for new efficient methodology. This project aims to develop an approach to the independence in terms of mixed momenta and to find new examples of independence besides the ones mentioned above.

Funded Activity Details

Start Date: 30-06-2015

End Date: 29-06-2018

Funding Scheme: Discovery Early Career Researcher Award

Funding Amount: $300,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) | Operator Algebras and Functional Analysis | Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory | Pure Mathematics |

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Physical Sciences | Expanding Knowledge in the Mathematical Sciences

Other Keywords

Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) | Expanding Knowledge in the Mathematical Sciences | Expanding Knowledge in the Physical Sciences | Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory | Operator Algebras and Functional Analysis | Pure Mathematics

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