Discovery Early Career Researcher Award - Grant ID: DE140100223

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DE140100223

Funding Status
Closed

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Funded Activity Summary

Diophantine approximation, transcendence, and related structures. Sequences produced by low-complexity structures are objects of importance to mathematics, linguistics and theoretical computer science. In the 1960s, Chomsky and Schützenberger formalised and popularised a hierarchy of such objects. In the 1920s, Mahler provided a corresponding analytic framework, which has proven extremely useful for analysing the algebraic character of low-complexity real numbers. This project will further develop Mahler's method in order to investigate the connection between the algebraic and arithmetic properties of real numbers and the various Chomskian complexity measures of those numbers. The results of this proposal will advance our knowledge of the nature of "randomness" in low-complexity arithmetic sequences.

Funded Activity Details

Start Date: 01-01-2014

End Date: 31-12-2017

Funding Scheme: Discovery Early Career Researcher Award

Funding Amount: $385,735.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) | Pure Mathematics | Real and Complex Functions (incl. Several Variables) | Algebra and Number Theory

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Algebra and Number Theory | Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) | Expanding Knowledge in the Mathematical Sciences | Pure Mathematics | Real and Complex Functions (incl. Several Variables)

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