@article{RSMUP_1981__64__141_0,
author = {Lasota, A. and Yorke, James A.},
title = {The law of exponential decay for expanding mappings},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
pages = {141--157},
year = {1981},
publisher = {Seminario Matematico of the University of Padua},
volume = {64},
mrnumber = {636632},
zbl = {0497.28016},
language = {en},
url = {https://www.numdam.org/item/RSMUP_1981__64__141_0/}
}
TY - JOUR AU - Lasota, A. AU - Yorke, James A. TI - The law of exponential decay for expanding mappings JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1981 SP - 141 EP - 157 VL - 64 PB - Seminario Matematico of the University of Padua UR - https://www.numdam.org/item/RSMUP_1981__64__141_0/ LA - en ID - RSMUP_1981__64__141_0 ER -
%0 Journal Article %A Lasota, A. %A Yorke, James A. %T The law of exponential decay for expanding mappings %J Rendiconti del Seminario Matematico della Università di Padova %D 1981 %P 141-157 %V 64 %I Seminario Matematico of the University of Padua %U https://www.numdam.org/item/RSMUP_1981__64__141_0/ %G en %F RSMUP_1981__64__141_0
Lasota, A.; Yorke, James A. The law of exponential decay for expanding mappings. Rendiconti del Seminario Matematico della Università di Padova, Tome 64 (1981), pp. 141-157. https://www.numdam.org/item/RSMUP_1981__64__141_0/
[1] , Recherches sur la probabilité des jugements, Paris, 1837.
[2] , Propriétés ergodiques des endomorphismes dilatants des variétes compactes, C. R. Acad. Sci. Paris Sér A-B, 266 (1968), pp. 610-612, MR 37 # 6944. | Zbl | MR
[3] - , On invariant measures for expanding differentiable mappings, Studia Math., 33 (1969), pp. 83-92, MR 39 #7067. | Zbl | MR
[4] - , Expanding maps on sets which are almost invariant: decay and chaos, Trans. Amer. Math. Soc. (to appear). | Zbl | MR
[5] , Some ergodic properties of multidimensional F-expansions, Z. Wahrscheinlichkeitstheorie Verv. Gebiete, 16 (1970), pp. 77-103, MR 44 # 173. | Zbl | MR
[6] - , The ergodic theory of axiom A flows, Inventiones Math., 29 (1975), pp. 181-202, MR 52 #1786. | Zbl | MR
[7] , Some systems with unique equilibrium states, Math. Systems Theory, 8 (1974). | Zbl | MR
[8] , Flow with unique equilibrium states, Amer. J. Math., 99 (1977). | Zbl | MR
[9] , Deterministic nonperiodic flow, J. Atmos. Sci., 20 (1963), pp. 130-141.
[10] - , Preturbulence: A regime observed in a fluid flow model of Lorenz, Commun. Math. Phys. 67 (1979), pp. 93-108. | Zbl | MR
[11] , A new approach to subcritieal instability and turbulent transitions in a simple dynamo, Math. Proc. Cambridge Phil. Soc. (to appear). | MR
[12] - E. YORKE, Metastable chaos: The transition to sustained chaotic behavior in Lorentz model, J. Statistical Phys. 21 (1979), pp. 263-277. | MR
[13] , Ergodic problems in biology, Société Math. France Asterisque, 50 (1977), pp. 239-250. | Zbl | MR | Numdam
[14] , Representation for real numbers and their ergodic properties, Acta Math. Acad. Sci. Hungar., 8 (1957), pp. 477-493, MR 20 #3843. | Zbl | MR
(15) - , Ergodic properties of a certain class of piecewise smooth transformations of a segment, Irv. Vyss Ucebn. Zaved. Matematika, 118 (1972), pp. 32-40, MR 45 #8802. | Zbl | MR
[16] - , On the existence of invariant measures for piecewise monotonic transformations, Trans. Amer. Math. Soc., 186 (1973), pp. 481-488, MR 49 # 538. | Zbl | MR
[17] - , Ergodic transformations from an interval into itself, Trans. Amer. Math. Soc., 235 (1978), pp. 183-192. | Zbl | MR
[18] , Existence of invariant measures for piecewise monotonic transformations, Annales Polon. Math., to appear. | Zbl
[19] , Some metric properties of piecewise monotonic mappings of the unit interval (preprint). | MR
[20] , Exact endomorphisms of Lebesgue spaces, Amer. Math. Soc. Transl., (2), 39 (1964), pp. 1-36, MR 26 # 1423. | Zbl






