@article{AIHPA_1992__56_4_415_0, author = {Coutinho, R. and Lima, R. and Vilela Mendes, R. and Va{\"\i}enti, S.}, title = {Logarithmic measures, subdimension and {Lyapunov} exponents of {Cantori}}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {415--427}, publisher = {Gauthier-Villars}, volume = {56}, number = {4}, year = {1992}, mrnumber = {1175477}, zbl = {0771.58028}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1992__56_4_415_0/} }
TY - JOUR AU - Coutinho, R. AU - Lima, R. AU - Vilela Mendes, R. AU - Vaïenti, S. TI - Logarithmic measures, subdimension and Lyapunov exponents of Cantori JO - Annales de l'I.H.P. Physique théorique PY - 1992 SP - 415 EP - 427 VL - 56 IS - 4 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1992__56_4_415_0/ LA - en ID - AIHPA_1992__56_4_415_0 ER -
%0 Journal Article %A Coutinho, R. %A Lima, R. %A Vilela Mendes, R. %A Vaïenti, S. %T Logarithmic measures, subdimension and Lyapunov exponents of Cantori %J Annales de l'I.H.P. Physique théorique %D 1992 %P 415-427 %V 56 %N 4 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1992__56_4_415_0/ %G en %F AIHPA_1992__56_4_415_0
Coutinho, R.; Lima, R.; Vilela Mendes, R.; Vaïenti, S. Logarithmic measures, subdimension and Lyapunov exponents of Cantori. Annales de l'I.H.P. Physique théorique, Tome 56 (1992) no. 4, pp. 415-427. http://www.numdam.org/item/AIHPA_1992__56_4_415_0/
[1] Phys. Rev. Lett., Vol. 57, 1986, p. 655. | MR
and ,[2] J. Phys. A: Math. Gen., Vol. 20, 1987, p. L559. | Zbl
,[3] Ergod. Th. Dyn. Syst., Vol. 5, 1985, p. 337. | Zbl
,[4] Hausdorff Measures, Cambridge Univ. Press, 1970. | MR | Zbl
,[5] See Ref. [4] p. 79.
[6] Physica, Vol. D27, 1987, p. 373; and , Physica, D30, 1988, p. 164; , , , and , Physica, Vol. D46, 1990, p. 217.
and ,[7] Phys. Rev., Vol. A38, 1988, p. 5888. | MR
and ,[8] Lectures on Orbits of Minimal Action for Area Preserving Maps, Warwick Univ. report, 1985.
and ,[9] Global stability of Dynamical Systems, Springer, Berlin, 1987. | MR | Zbl
,[10] Comm. Math. Phys., 126, 1989, p. 249. | MR | Zbl
,[11] Rigorous Diffusion Properties for the Sawtooth Map, Comm. Math. Phys. 1992, to appear. | MR | Zbl
and ,[12] Ergodic Properties of the Discontinuous Sawtooth Map, Journal of Stat. Phys., Vol. 67, 1992, p. 251. | MR | Zbl
,[13] Ergodic Theory, Springer, Berlin, 1982. | MR | Zbl
, and ,[14] Publ. Math. I.H.E.S., Vol. 50, 1979, p. 275. | Numdam | Zbl
,