@article{ASENS_2000_4_33_1_1_0,
author = {Alves, Jos\'e Ferreira},
title = {SRB measures for non-hyperbolic systems with multidimensional expansion},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {1--32},
year = {2000},
publisher = {Elsevier},
volume = {Ser. 4, 33},
number = {1},
doi = {10.1016/s0012-9593(00)00101-4},
mrnumber = {2002i:37032},
zbl = {0955.37012},
language = {en},
url = {https://www.numdam.org/articles/10.1016/s0012-9593(00)00101-4/}
}
TY - JOUR AU - Alves, José Ferreira TI - SRB measures for non-hyperbolic systems with multidimensional expansion JO - Annales scientifiques de l'École Normale Supérieure PY - 2000 SP - 1 EP - 32 VL - 33 IS - 1 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/s0012-9593(00)00101-4/ DO - 10.1016/s0012-9593(00)00101-4 LA - en ID - ASENS_2000_4_33_1_1_0 ER -
%0 Journal Article %A Alves, José Ferreira %T SRB measures for non-hyperbolic systems with multidimensional expansion %J Annales scientifiques de l'École Normale Supérieure %D 2000 %P 1-32 %V 33 %N 1 %I Elsevier %U https://www.numdam.org/articles/10.1016/s0012-9593(00)00101-4/ %R 10.1016/s0012-9593(00)00101-4 %G en %F ASENS_2000_4_33_1_1_0
Alves, José Ferreira. SRB measures for non-hyperbolic systems with multidimensional expansion. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 33 (2000) no. 1, pp. 1-32. doi: 10.1016/s0012-9593(00)00101-4
[1] , Absolutely continuous invariant measures for piecewise expanding C2 transformations in ℝn with cusps on their boundaries, Ergodic Theory Dynamical Systems 16 (1996) 1-18. | Zbl | MR
[2] , and , SRB measures for partially hyperbolic systems whose central direction is mostly expanding, Preprint CMUP, University of Porto, 1999.
[3] and , On iterations of 1 - ax² on (-1, 1), Ann. Math. 122 (1985) 1-25. | Zbl | MR
[4] and , The dynamics of the Hénon map, Ann. Math. 133 (1991) 73-169. | Zbl | MR
[5] and , SRB-measures for certain Hénon maps, Invent. Math. 112 (1993) 541-576. | Zbl | MR
[6] , and , Lorenz-like attractors with arbitrary unstable dimension, C. R. Acad. Sci. Série I 325 (1997) 883-888. | Zbl
[7] and , SRB measures for partially hyperbolic systems whose central direction is mostly contracting, Israel J. Math. (to appear). | Zbl
[8] and , The ergodic theory of Axiom A flows, Invent. Math. 29 (1975) 181-202. | Zbl | MR
[9] , A.c.i.m.'s for arbitrary expanding piecewise ℝ-analytic mappings of the plane, Preprint Luminy, 1998.
[10] and , Measure Theory and Fine Properties of Functions, Studies in Advanced Mathematics, CRC Press, Boca Raton, FL, 1992. | Zbl | MR
[11] , Minimal Surfaces and Functions of Bounded Variation, Birkäuser, Basel, 1984. | Zbl | MR
[12] and , Absolutely continuous invariant measures for piecewise expanding C2 transformations in ℝN, Israel J. Math. 67 (1989) 272-286. | Zbl | MR
[13] and , On functions of bounded variation in higher dimensions, Amer. Math. Month. 99 (2) (1992) 159-160. | Zbl | MR
[14] , Absolutely continuous invariant measures for one-parameter families of one-dimensional maps, Comm. Math. Phys. 81 (1981) 39-88. | Zbl | MR
[15] , Ergodicité et mesures invariants pour les transformations dilatants par morceaux d'une région bornée du plan, C. R. Acad. Sci. Paris Série A 289 (1979) 625-627. | Zbl | MR
[16] and , On the existence of invariant measures for piecewise monotonic maps, Trans. Amer. Math. Soc. 186 (1973) 481-488. | Zbl | MR
[17] , Ergodic Theory and Differentiable Dynamics, Springer, Berlin, 1987. | Zbl
[18] and , One-Dimensional Dynamics, Springer, Berlin, 1993. | Zbl | MR
[19] and , Abundance of strange attractors, Acta Math. 171 (1993) 1-71. | Zbl | MR
[20] , A measure associated with Axiom A attractors, Amer. J. Math. 98 (1976) 619-654. | Zbl | MR
[21] , Absolutely continuous invariant measures for multi-dimensional expanding maps, Preprint Luminy, 1997.
[22] , Gibbs measures in ergodic theory, Russ. Math. Surv. 27 (4) (1972) 21-69. | Zbl | MR
[23] , Stable orbits and bifurcations of maps of the interval, SIAM J. Appl. Math. 35 (1978) 260-267. | Zbl | MR
[24] , Absolutely continuous invariant measures for piecewise real-analytic maps on the plane, Preprint Hokkaido Univ., 1998.
[25] , Strange attractors in higher dimensions, Bull. Braz. Math. Soc. 24 (1993) 13-62. | Zbl | MR
[26] , Multidimensional nonhyperbolic attractors, Publ. Math. IHES 85 (1997) 63-96. | Zbl | MR | Numdam
Cité par Sources :





