@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}, publisher = {Seminario Matematico of the University of Padua}, volume = {64}, year = {1981}, mrnumber = {636632}, zbl = {0497.28016}, language = {en}, url = {http://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 - http://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 http://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. http://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. | MR | Zbl
,[3] On invariant measures for expanding differentiable mappings, Studia Math., 33 (1969), pp. 83-92, MR 39 #7067. | MR | Zbl
- ,[4] Expanding maps on sets which are almost invariant: decay and chaos, Trans. Amer. Math. Soc. (to appear). | MR | Zbl
- ,[5] Some ergodic properties of multidimensional F-expansions, Z. Wahrscheinlichkeitstheorie Verv. Gebiete, 16 (1970), pp. 77-103, MR 44 # 173. | MR | Zbl
,[6] The ergodic theory of axiom A flows, Inventiones Math., 29 (1975), pp. 181-202, MR 52 #1786. | MR | Zbl
- ,[7] Some systems with unique equilibrium states, Math. Systems Theory, 8 (1974). | MR | Zbl
,[8] Flow with unique equilibrium states, Amer. J. Math., 99 (1977). | MR | Zbl
,[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. | MR | Zbl
- ,[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. | MR | Zbl
,[14] Representation for real numbers and their ergodic properties, Acta Math. Acad. Sci. Hungar., 8 (1957), pp. 477-493, MR 20 #3843. | MR | Zbl
,(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. | MR | Zbl
- ,[16] On the existence of invariant measures for piecewise monotonic transformations, Trans. Amer. Math. Soc., 186 (1973), pp. 481-488, MR 49 # 538. | MR | Zbl
- ,[17] Ergodic transformations from an interval into itself, Trans. Amer. Math. Soc., 235 (1978), pp. 183-192. | MR | Zbl
- ,[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
,