References
- Young L-S. Statistical properties of dynamical systems with some hyperbolicity. Ann Math. 1998;147:585–650.
- Young L-S. Recurrence times and rates of mixing. Israel J Math. 1999;110:153–188.
- Alves JF, Luzzatto S, Pinheiro V. Markov structures and decay of correlations for non-uniformly expanding dynamical systems. Ann Inst H Poincaré Anal Non Linéaire. 2005;22(6):817–839.
- Alves JF. Pinheiro V. Gibbs–Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction. Adv Math. 2010;223:1706–1730.
- Gouëzel S. Decay of correlations for nonuniformly expanding systems. Bull Soc Math France. 2006;134(1):1–31.
- Alves JF, Li X. Gibbs–Markov–Young structure with (stretched) exponential tail for partially hyperbolic attractors. Adv Math. 2015;279:405–437.
- Alves JF, Freitas JM, Luzzatto S, etal. From rates of mixing to recurrence times via large deviations. Adv Math. 2011;228(2):1203–1236.
- Alves JF, Dias CL, Luzzatto S. Geometry of expanding absolutely continuous invariant measures and the liftability problem. Ann Inst H. Poincaré Anal Non Linéaire. 2013;30:101–120.
- Alves JF, Bonatti C, Viana M. SRB measures for partially hyperbolic systems whose central direction is mostly expanding. Invent Math. 2000;140:351–398.