Almost sure rates of mixing for i.i.d. unimodal maps
Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 35 (2002) no. 1, pp. 77-126.
@article{ASENS_2002_4_35_1_77_0,
author = {Baladi, Viviane and Benedicks, Michael and Maume-Deschamps, V\'eronique},
title = {Almost sure rates of mixing for i.i.d. unimodal maps},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {77--126},
publisher = {Elsevier},
volume = {Ser. 4, 35},
number = {1},
year = {2002},
doi = {10.1016/s0012-9593(01)01083-7},
zbl = {1037.37003},
mrnumber = {1886006},
language = {en},
url = {http://www.numdam.org/articles/10.1016/s0012-9593(01)01083-7/}
}
TY  - JOUR
AU  - Benedicks, Michael
AU  - Maume-Deschamps, Véronique
TI  - Almost sure rates of mixing for i.i.d. unimodal maps
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 2002
DA  - 2002///
SP  - 77
EP  - 126
VL  - Ser. 4, 35
IS  - 1
PB  - Elsevier
UR  - http://www.numdam.org/articles/10.1016/s0012-9593(01)01083-7/
UR  - https://zbmath.org/?q=an%3A1037.37003
UR  - https://www.ams.org/mathscinet-getitem?mr=1886006
UR  - https://doi.org/10.1016/s0012-9593(01)01083-7
DO  - 10.1016/s0012-9593(01)01083-7
LA  - en
ID  - ASENS_2002_4_35_1_77_0
ER  - 
%0 Journal Article
%A Benedicks, Michael
%A Maume-Deschamps, Véronique
%T Almost sure rates of mixing for i.i.d. unimodal maps
%J Annales scientifiques de l'École Normale Supérieure
%D 2002
%P 77-126
%V Ser. 4, 35
%N 1
%I Elsevier
%U https://doi.org/10.1016/s0012-9593(01)01083-7
%R 10.1016/s0012-9593(01)01083-7
%G en
%F ASENS_2002_4_35_1_77_0
Baladi, Viviane; Benedicks, Michael; Maume-Deschamps, Véronique. Almost sure rates of mixing for i.i.d. unimodal maps. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 35 (2002) no. 1, pp. 77-126. doi : 10.1016/s0012-9593(01)01083-7. http://www.numdam.org/articles/10.1016/s0012-9593(01)01083-7/

[1] Alves J.F., SRB measures for nonhyperbolic systems with multidimensional expansion, Ann. Scient. Éc. Normale Sup. (4) 33 (2000) 1-32. | EuDML | Numdam | MR | Zbl

[2] Bahnmüller J., Pesin's entropy formula of expanding maps, Random Comput. Dynam. 4 (1996) 99-108. | MR | Zbl

[3] Baladi V., Kondah A., Schmitt B., Random correlations for small perturbations of expanding maps, Random Comput. Dynam. 4 (1996) 179-204. | MR | Zbl

[4] Baladi V., Viana M., Strong stochastic stability and rate of mixing for unimodal maps, Ann. Scient. Éc. Normale Sup. (4) 29 (1996) 483-517. | EuDML | Numdam | MR | Zbl

[5] Baladi V., Young L.-S., On the spectra of randomly perturbed expanding maps, Comm. Math. Phys. 156 (1993) 355-385, see also Erratum, Comm. Math. Phys. 166 (1994) 219-220. | MR | Zbl

[6] Benedicks M., Carleson L., On iterations of 1−ax2 on (−1,1), Ann. of Math. (2) 122 (1985) 1-25. | MR | Zbl

[7] Benedicks M., Carleson L., The dynamics of the Hénon map, Ann. of Math. (2) 133 (1991) 73-169. | MR | Zbl

[8] Benedicks M., Young L.-S., Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps, Erg. Theory Dyn. Syst. 12 (1992) 13-37. | MR | Zbl

[9] Blokh A.M., Lyubich M.Yu., Measurable dynamics of S-unimodal maps of the interval, Ann. Scient. Éc. Normale Sup. 24 (1991) 545-573. | EuDML | Numdam | MR | Zbl

[10] Bogenschütz T., Stochastic stability of equilibrium states, Random Comput. Dynam. 4 (1996) 85-98. | MR | Zbl

[11] Bougerol P., Lacroix J., Products of Random Matrices with Applications to Schrödinger Operators, Birkhäuser, Boston, 1985. | MR | Zbl

[12] Bruin H., Luzzatto S., van Strien S., Decay of correlations in one-dimensional dynamics, Preprint, 1999.

[13] Buzzi J., SRB measures for random Lasota-Yorke maps, Trans. Amer. Math. Soc. 352 (2000) 3289-3304. | MR | Zbl

[14] Buzzi J., Exponential decay of correlations for random Lasota-Yorke maps, Comm. Math. Phys. 208 (1999) 25-54. | MR | Zbl

[15] Collet P., Ergodic properties of some unimodal mappings of the interval, Preprint 11, Institute Mittag Leffler, 1984 (unpublished).

[16] Collet P., A remark about uniform de-correlation prefactors, Preprint, 1999.

[17] Hennion H., Limit theorems for products of positive random matrices, Ann. Probab. 25 (1997) 1545-1587. | MR | Zbl

[18] Katok A., Kifer Y., Random perturbations of transformations of an interval, J. Anal. Math. 47 (1986) 193-237. | MR | Zbl

[19] Khanin K., Kifer Y., Thermodynamic formalism for random transformations and statistical mechanics, in: Sinai's Moscow Seminar on Dynamical Systems, Math. Soc. Trans. Ser. 2, 171, American Mathematical Society, Providence, RI, 1996, pp. 107-140. | MR | Zbl

[20] Kifer Y., Limit theorems for random transformations and processes in random environments, Trans. Amer. Math. Soc. 350 (1998) 1481-1518. | MR | Zbl

[21] Ledrappier F., Young L.-S., Entropy formula for random transformations, Probab. Theory Related Fields 80 (1988) 217-240. | MR | Zbl

[22] Pollicott M., Yuri M., Dynamical Systems and Ergodic Theory, London Mathematical Society Student Texts, 40, Cambridge University Press, Cambridge, 1998. | MR | Zbl

[23] Seneta E., Nonnegative Matrices and Markov Chains, Springer Series in Statistics, Springer-Verlag, New York, Berlin, 1981. | MR | Zbl

[24] Viana M., Multidimensional nonhyperbolic attractors, Inst. Hautes Etudes Sci. Publ. Math. 85 (1997) 63-96. | Numdam | MR | Zbl

[25] Young L.-S., Statistical properties of systems with some hyperbolicity including certain billiards, Ann. of Math. (2) 147 (1998) 585-650. | MR | Zbl

[26] Young L.-S., Recurrence times and rates of mixing, Israel J. Math. 110 (1999) 153-188. | MR | Zbl

Cited by Sources: