1 |
A. Avila and J. Bochi, Nonuniform hyperbolicity, global dominated splittings and generic properties of volume-preserving diffeomorphisms, Trans. Am. Math. Soc. 364 (6) (2012), 2883-2907.
DOI
|
2 |
R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Lecture Notes in Mathematics 470, Springer-Verlag, 1975.
|
3 |
R. Bowen and D. Ruelle, The ergodic theory of axiom A flows, Inv. Math. 29(1975), 181-202.
DOI
|
4 |
V. Climenhaga, D. Dolgopyat, and Ya. Pesin, Non-stationary non-uniformly hyperbolicity : SRB measures for non-uniformly hyperbolic attractors, Commun. Math. Phys. 346 (2)(2016), 553-602.
DOI
|
5 |
M. Hirsch, C. Pugh, and M. Shub, Invariant Manifolds, Lecture Notes in Mathematics 583, Springer-Verlag, 1977.
|
6 |
A. Katok, Lyapunov exponents, entropy and periodic orbits for diffeomorphisms, Publications de l'IHES 51 (1980), 137-174.
DOI
|
7 |
F. Ledrappier and J. M. Strelcyn, A proof of estimation from below in Pesin's entropy formula, Ergodic Theory Dyn. Syst. (2) (1982), 203-219.
|
8 |
F. Ledrappier and L. -S. Young, The metric entropy of diffeomorphisms, 1, Characterization of measures satisfying Pesin's entropy formula, Ann. Math. 2. 122 (3) (1985), 509-539.
DOI
|
9 |
V. I. Oseledec, Multiplicative ergodic theorem, Lyapunov numbers for dynamical systems, Trans. Moscow Math. Soc. 19 (1968), 197-221.
|
10 |
Ya. Pesin, Characteristic Lyapunov exponents and smooth ergodic theory, Russian Math. Surveys 32 (4) (1977), 55-114.
DOI
|
11 |
Ya. Pesin, Dynamical systems with generalized hyperbolic attractors : hyperbolic, ergodic and topological properties, Ergodic Theory Dyn. Syst. 12 (1) (1992), 123-151.
|
12 |
D. Ruelle, A measure associated with axiom-A attractors, Am. J. Math. 98 (3) (1976), 619-654.
DOI
|
13 |
S. Smale, Differentiable dynamical systems, Bull. Am. Math. Soc. 73 (1967), 747-817. response, Nonlinear Anal. 57 (2004) 421-433.
DOI
|
14 |
Ya. Sinai, Gibbs measures in ergodic theory, Uspehi Mat. Nauk 27 (4) (1972), 21-64.
|
15 |
Lai-Sang Young, Statistical properties of dynamical systems with some hyperbolicity, Ann. Math. 2 147 (3) (1998), 585-650.
DOI
|
16 |
Lai-Sang Young, What are SRB measures, and which dynamical systems have them?, J. Stat. Phys 108 (2002), 733-754.
DOI
|