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EXPECTATIONS OVER DETERMINISTIC FRACTAL SETS

Part of: Classical measure theory Approximation methods and numerical treatment of dynamical systems Approximations and expansions Numerical analysis Ergodic theory

Published online by Cambridge University Press:  25 April 2016

MICHAEL G. ROSE
MICHAEL G. ROSE*
Affiliation:
Centre for Computer Assisted Research Mathematics and its Applications (CARMA), University of Newcastle, Callaghan, NSW 2308, Australia email michael.gerard.rose@gmail.com
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Abstract

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Keywords

fractaliterated function systembox integralergodic theory

MSC classification

Primary: 28A80: Fractals
Secondary: 28A25: Integration with respect to measures and other set functions 37A30: Ergodic theorems, spectral theory, Markov operators 37M25: Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy) 41A55: Approximate quadratures 65-04: Explicit machine computation and programs (not the theory of computation or programming)
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 94 , Issue 1 , August 2016 , pp. 171 - 172
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

References

Bailey, D. H., Borwein, J. M., Crandall, R. E. and Rose, M. G., ‘Expectations on fractal sets’, Appl. Math. Comput. 220 (2013), 695–721.Google Scholar
Borwein, J. M. and Rose, M. G., ‘Expectations over attractors of iterated function systems’, Appl. Math. Comput. (2015), to appear.Google Scholar