×

zbMATH — the first resource for mathematics

Statistical properties of one-dimensional maps with critical points and singularities. (English) Zbl 1130.37362

MSC:
37E05 Dynamical systems involving maps of the interval
37A25 Ergodicity, mixing, rates of mixing
37A50 Dynamical systems and their relations with probability theory and stochastic processes
37D25 Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)
37D35 Thermodynamic formalism, variational principles, equilibrium states for dynamical systems
PDF BibTeX Cite
Full Text: DOI arXiv
References:
[1] DOI: 10.1090/surv/050
[2] DOI: 10.1090/S0002-9947-1993-1107025-2
[3] DOI: 10.1007/s002220000057 · Zbl 0962.37012
[4] DOI: 10.1017/S0143385703000579 · Zbl 1049.37025
[5] DOI: 10.1016/j.anihpc.2004.12.002 · Zbl 1134.37326
[6] DOI: 10.2307/1971367 · Zbl 0597.58016
[7] Bruin H., Ann. Sci. Éc. Norm. Sup. 36 pp 621– · Zbl 1039.37021
[8] DOI: 10.1007/s00220-003-0928-z · Zbl 1098.37034
[9] DOI: 10.1017/S0143385703000087 · Zbl 1037.37005
[10] Collet P., Ergodic Th. Dyn. Syst. 3 pp 13–
[11] DOI: 10.1142/9789812796417_0013
[12] Denker M., Ergodic Th. Dyn. Syst. 16 pp 155–
[13] DOI: 10.3934/dcds.2006.15.159 · Zbl 1115.37039
[14] DOI: 10.1007/BF02787541 · Zbl 1070.37003
[15] Gouëzel S., Bull. Soc. Math. France
[16] DOI: 10.1007/BF01215004 · Zbl 0485.28016
[17] DOI: 10.1017/S0143385704000343 · Zbl 1073.37044
[18] Jakobson M. V., Sov. Math. Dokl. 19 pp 1452–
[19] DOI: 10.1007/BF01941800 · Zbl 0497.58017
[20] Jakobson M. V., Proc. Symp. Pure Math. 69 pp 825– (2001)
[21] DOI: 10.1007/s10955-005-3035-z · Zbl 1170.37307
[22] DOI: 10.1007/BF00532744 · Zbl 0574.28014
[23] DOI: 10.1007/BF02096623 · Zbl 0763.58024
[24] DOI: 10.1090/S0002-9947-1973-0335758-1
[25] DOI: 10.2307/2118636 · Zbl 0871.58059
[26] DOI: 10.1016/S1874-575X(06)80028-7
[27] DOI: 10.1007/BF02698857 · Zbl 0978.37029
[28] DOI: 10.1007/BF02773377 · Zbl 1016.37005
[29] DOI: 10.1112/S0024610704005587 · Zbl 1160.37331
[30] DOI: 10.1007/BF02698686 · Zbl 0477.58020
[31] DOI: 10.1007/BF01410202 · Zbl 0659.58034
[32] DOI: 10.1007/BF01232258 · Zbl 0736.58030
[33] DOI: 10.1007/BF02020954 · Zbl 0099.28103
[34] Pesin Y., J. Stat. Phys.
[35] DOI: 10.1007/BF02020331 · Zbl 0079.08901
[36] DOI: 10.1007/BF01613148 · Zbl 0362.28013
[37] Rychlik M., Studia Math. 76 pp 69–
[38] DOI: 10.1017/S0143385799146820 · Zbl 0994.37005
[39] DOI: 10.1007/s00222-002-0248-5 · Zbl 1042.37005
[40] DOI: 10.1090/S0002-9939-03-06927-2 · Zbl 1009.37003
[41] DOI: 10.1007/BF02757992 · Zbl 0314.10037
[42] DOI: 10.1007/BF02788928 · Zbl 0447.28016
[43] Ulam S., Bull. Amer. Math. Soc. 53 pp 1120–
[44] Viana M., Lecture Notes XXI Braz. Math. Colloq., in: Stochastic dynamics of deterministic systems (1997)
[45] Viana M., Comm. Math. Phys. 146 pp 123–
[46] Viana M., Ann. Math. (2) 147 pp 585–
[47] DOI: 10.1007/BF02808180 · Zbl 0983.37005
[48] DOI: 10.1017/S0143385799141695 · Zbl 0971.37004
[49] DOI: 10.1090/S0002-9939-05-07772-5 · Zbl 1119.28011
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.