Theory and applications of fractal tops

Fractals in Engineering: New Trends in Theory and Applications

Volumn , Issue , 2005, Pages 3-20

  Barnsley, Michael ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34247593557     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/1-84628-048-6_1     Document Type: Chapter

References (12)

1. M. F. Barnsley, Fractals Everywhere, Academic Press, New York, NY, 1988.
2. M. F. Barnsley and S. Demko, Iterated Function Systems and the Global Construction of Fractals, R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 399 (1985), pp. 243-275.
3. M. F. Barnsley and L. F. Barnsley, Fractal Transformations, in "The Colours of Infinity: The Beauty and Power of Fractals", by Ian Stewart et al., Published by Clear Books, London, (2004), pp.66-81.
4. M. F. Barnsley, Ergodic Theory, Fractal Tops and Colour Stealing, Lecture Notes, Australian National University, 2004.
5. M. F. Barnsley, Theory and Application of Fractal Tops (Full Version), Preprint, Australian National University, 2005.
6. M.F.Barnsley, J.E.Hutchinson, O. Stenflo A Fractal Valued Random Iteration Algorithm and Fractal Hierarchy (2003) to appear in Fractals journal.
7. J. Elton, An Ergodic Theorem for Iterated Maps, Ergodic Theory Dynam. Systems, 7 (1987), pp. 481-488.
8. J. E. Hutchinson, Fractals and Self-Similarity, Indiana. Univ. Math. J., 30 (1981), pp. 713-749.
9. N. Lu, Fractal Imaging, Academic Press, (1997).
10. W. Parry, Symbolic Dynamics and Transformations of the Unit Interval, Trans. Amer. Math. Soc., 122 (1966),368-378.
11. A. Rényi, Representations for Real Numbers and Their Ergodic Properties, Acta Math. Acad. Sci. Hung., 8 (1957), pp. 477-493.
12. I. Werner, Ergodic Theorem for Contractive Markov Systems, Nonlinearity 17 (2004) 2303-2313