Linkage - International - Grant ID: LX0346775

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/LX0346775

Funding Status
Closed

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Funded Activity Summary

Entropy and maximal entropy in Markov systems. Entropy is a measure of how well-ordered a system is: chaotic systems have high entropy. Two approaches to entropy are available, via the limiting behaviour of the orbits of points, which yields topological entropy, and via the behaviour of the distributions of measures of partitions, yielding measure-theoretic entropy. The topological entropy is the least upper bound of entropies of all possible measures. We study when there is a measure which realises this bound, describing the structure of such systems via Markov and Bratteli diagrams. Our methods will be applied to new versions of entropy for non-singular systems. This will assist in the description of chaotic behaviour.

Funded Activity Details

Start Date: 01-01-2003

End Date: 31-12-2005

Funding Scheme: Linkage - International

Funding Amount: $57,422.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Pure Mathematics | Functional Analysis | Harmonic And Fourier Analysis |

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences

Other Keywords

Functional Analysis | Harmonic And Fourier Analysis | Mathematical sciences | Pure Mathematics

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