Statistical periodicity of deterministic systems

Andrzej Lasota; James A. Yorke

Časopis pro pěstování matematiky (1986)

  • Volume: 111, Issue: 1, page 1-13
  • ISSN: 0528-2195

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Lasota, Andrzej, and Yorke, James A.. "Statistical periodicity of deterministic systems." Časopis pro pěstování matematiky 111.1 (1986): 1-13. <http://eudml.org/doc/21622>.

@article{Lasota1986,
author = {Lasota, Andrzej, Yorke, James A.},
journal = {Časopis pro pěstování matematiky},
keywords = {chaotic behavior of trajectories; discrete time dynamical system; Markov- Hopf process; invariant measure; spectral decomposition; measurable nonsingular transformation; Radon-Nikodým derivative; weakly constrictive Frobenius-Perron operator; asymptotical decomposition; Markov operator},
language = {eng},
number = {1},
pages = {1-13},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Statistical periodicity of deterministic systems},
url = {http://eudml.org/doc/21622},
volume = {111},
year = {1986},
}

TY - JOUR
AU - Lasota, Andrzej
AU - Yorke, James A.
TI - Statistical periodicity of deterministic systems
JO - Časopis pro pěstování matematiky
PY - 1986
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 111
IS - 1
SP - 1
EP - 13
LA - eng
KW - chaotic behavior of trajectories; discrete time dynamical system; Markov- Hopf process; invariant measure; spectral decomposition; measurable nonsingular transformation; Radon-Nikodým derivative; weakly constrictive Frobenius-Perron operator; asymptotical decomposition; Markov operator
UR - http://eudml.org/doc/21622
ER -

References

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  5. G. Keller, Stochastic stability in some chaotic dynamical systems, prepгint, Universität Heidelberg. Zbl0496.58010
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  7. A. Lasota J. A. Yorke, On the existence of invariant measures for piecewise monotonic tгansformations, Tгansactions Amer. Math. Soc. 186 (1973), 481-488. (1973) MR0335758
  8. A. Rényi, Representation of real numbers and their ergodic properties, Аcta Math. Аcad. Sci. Hungar. 8 (1957), 477-493. (1957) MR0097374
  9. M. Misiurewicz, Absolutely continuous measures for certain maps of an interval, Publ. Math. IHES 53 (1981), 17-51. (1981) Zbl0477.58020MR0623533
  10. V. A. Rochlin, Exact endomoгphisms of Lebesgue spaces, Izv. Akad. Nauk SSSR Seг. Mat. 25 (1961), 499-530. [Transl. Amer. Math. Soc. 2, 39 (1964), 1-36]. (1961) 
  11. H. H. Schaefer, On positive contгactions in Lp spaces, Tгansactions Amer. Math. Soc. 257 (1980), 261-268. (1980) MR0549167
  12. P. Walters, Equilibrium states for β-transformations and related transformations, Math. Zeit. 159 (1978), 65-88. (1978) MR0466492

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