On continuity of Bowen-Ruelle-Sinai measures in families of one dimensional maps

Communications in Mathematical Physics

Volumn 177, Issue 1, 1996, Pages 1-11

  Tsujii, Masato ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030525810     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02102427     Document Type: Article

References (8)

1. Blokh, A.M., Lyubich, M.Yu.: Measurable Dynamics of S-unimodal maps of the interval. Ann. Sci. Ec. Norm. Sup. 20, 545-573 (1991)
2. Hofbauer, F., Keller, G.: Quadratic maps without asymptotic measure. Commun. Math. Phys. 127, 17-51 (1990)
3. Jakobson, M.V.: Absolutely continuous invariant measures for one-parameter families of one dimensional maps. Commun. Math. Phys. 81, 39-88 (1981)
4. Ledrappier, F.: Some properties of absolutely continuous invariant measures on an interval. Ergod. Th. & ynam. Sys. 1, 77-93 (1981)
5. Rychlik, M., Sorets, E.: Regularity and other properties of absolutely continuous invariant measures for the quadratic family. Commun. Math. Phys. 150, 217-236 (1992)
6. Thunberg, H.: Absolutely continuous invariant measures and superstable periodic orbit: Weak* convergence of natural measures. Preprint
7. Tsujii, M.: Positive Lyapunov exponents in families of one dimensional dynamical systems. Invent. Math. 111, 113-137 (1993)
8. Tsujii, M.: Small random perturbations of one dimensional dynamical systems and Margulis-Pesin entropy formula. Random & Computational Dynamics 1, 59-89 (1992)