From quantum entropy to iterated function systems

Chaos, Solitons and Fractals

Volumn 8, Issue 11, 1997, Pages 1861-1864

  Słomczyński, Wojciech ^a  

^a JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002177153     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(97)00073-8     Document Type: Article

References (15)

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2. Ohya, M. and Petz, D., Quantum Entropy and Its Use. Springer, New York, 1993.
3. Życzkowski, K. and Słomczyński, W., Coherent states quantum entropy. In Proc. Int. Conf. on Dynamical Systems and Chaos, Tokyo, May 1994, Vol. 2, eds Y. Aizawa et al. World Scientific, Singapore, 1995, pp. 467-470.
4. Kwapień, J., Słomczyński, W. and Życzkowski, K., Coherent states measurement entropy, J. Phys. A, 1997, 30, 3175.
5. Słomczyński, W., Dynamical entropy and iterated function systems. In preparation.
6. Barnsley, M. F., Demko, S. G., Elton, J. H. and Geronimo, J. S., Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities. Ann. Inst. Henri Poincaré, 1988, 24, 367.
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8. Elton, J. E., An ergodic theorem for iterated maps. Ergod. Theor. Dynam. Syst., 1987, 7, 481.
9. Iosifescu, M. and Grigorescu, S., Dependence with Complete Connections and Its Applications. Cambridge University Press, Cambridge, 1990.
10. Słomczyński, W., Życzkowski, K. and Kwapień, J., Multifractals and entropy computing. In preparation.
11. Blackwell, D., The entropy functions of finite-state Markov chains. In Trans. First Prague Conf. on Information Theory, Statistical Decision Functions and Random Processes, Liblice, November 28-30, 1956. Czechoslovak Academy of Sciences, Prague, 1957, pp. 13-20.
12. Fannes, M., Nachtergaele, B. and Slegers, L., Functions of Markov processes and algebraic measures. Rev. Math. Phys., 1992, 4, 39.
13. Guarnieri, I. and Mantica, G., Multifractal energy spectra and their dynamical implications. Phys. Rev. Lett., 1994, 73, 3379.
14. Mantica, G., Quantum intermittency in almost-periodic lattice systems derived from their spectral properties. Physica D. In press.
15. El Naschie, M. S., Iterated function systems, information and the two-slit experiment of quantum mechanics. In Quantum Mechanics, Diffusion and Chaotic Fractals, eds M. S. El Naschie et al. Elsevier, Oxford, 1995, pp. 185-189.