| Title:
|
Statistical periodicity of deterministic systems (English) |
| Author:
|
Lasota, Andrzej |
| Author:
|
Yorke, James A. |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
111 |
| Issue:
|
1 |
| Year:
|
1986 |
| Pages:
|
1-13 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28D10 |
| MSC:
|
37A99 |
| MSC:
|
47A35 |
| MSC:
|
47B38 |
| MSC:
|
58F11 |
| idZBL:
|
Zbl 0614.28015 |
| idMR:
|
MR833152 |
| DOI:
|
10.21136/CPM.1986.118256 |
| . |
| Date available:
|
2009-09-23T09:34:58Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118256 |
| . |
| Reference:
|
[1] R. L. Adler: F-expansions revisited.Lecture Notes Math. 318 (1973), 1 - 5. Zbl 0257.28012, MR 0389825 |
| Reference:
|
[2] S. R. Foguel: The Ergodic Theory of Markov Processes.Van Nostrand Reinhold 1969. Zbl 0282.60037, MR 0261686 |
| Reference:
|
[З] E. Hopf: The general temporally discrete Markov pгocess.J. Rational Mech. Anal. 3 (1959), 13-45. MR 0060181 |
| Reference:
|
[4] G. Keller: Erogodicité et mesures invariantes pour les transfoгmations dilatantes par morceaux ďune гégionbornée du plan.C. R. Acad. Sci. Paris. Sér A. 289 (1979) 625-627. MR 0556443 |
| Reference:
|
[5] G. Keller: Stochastic stability in some chaotic dynamical systems.prepгint, Universität Heidelberg. Zbl 0496.58010 |
| Reference:
|
[6] A. Lasota T. Y. Li J. A. Yorke: Asymptotic periodicity of the iterates of Markov operators.Transactions Amer. Math. Soc. 286 (1984), 751-764. MR 0760984 |
| Reference:
|
[7] A. Lasota J. A. Yorke: On the existence of invariant measures for piecewise monotonic tгansformations.Tгansactions Amer. Math. Soc. 186 (1973), 481-488. MR 0335758 |
| Reference:
|
[8] A. Rényi: Representation of real numbers and their ergodic properties.Аcta Math. Аcad. Sci. Hungar. 8 (1957), 477-493. MR 0097374 |
| Reference:
|
[9] M. Misiurewicz: Absolutely continuous measures for certain maps of an interval.Publ. Math. IHES 53 (1981), 17-51. Zbl 0477.58020, MR 0623533 |
| Reference:
|
[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]. |
| Reference:
|
[11] H. H. Schaefer: On positive contгactions in Lp spaces.Tгansactions Amer. Math. Soc. 257 (1980), 261-268. MR 0549167 |
| Reference:
|
[12] P. Walters: Equilibrium states for β-transformations and related transformations.Math. Zeit. 159 (1978), 65-88. MR 0466492 |
| . |
