We prove exponential decay of correlations for a class of C^ 1+ α C 1+ α uniformly
hyperbolic skew product flows, subject to a uniform nonintegrability condition. In particular …

We prove that every geometric Lorenz attractor satisfying a strong dissipativity condition has
superpolynomial decay of correlations with respect to the unique Sinai–Ruelle–Bowen …

We prove exponential decay of correlations for a realistic model of piecewise hyperbolic
flows preserving a contact form, in dimension three. This is the first time exponential decay of …

We prove that an Anosov flow with C1 stable bundle mixes exponentially whenever the
stable and unstable bundles are not jointly integrable. This allows us to show that if a flow is …

For any dimension $ d\geq 3$ we construct $\mathcal {C}^{1} $-open subsets of the space of
$\mathcal {C}^{3} $ vector fields such that the flow associated to each vector field is Axiom A …

We consider the robust family of geometric Lorenz attractors. These attractors are chaotic, in
the sense that they are transitive and have sensitive dependence on initial conditions …

We consider maps preserving a foliation which is uniformly contracting and a one-
dimensional associated quotient map having exponential convergence to equilibrium …

In this article we consider the ergodic optimization for hyperbolic flows and Lorenz attractors
with respect to both continuous and Hölder continuous observables. In the context of …

We study hyperbolic skew products and the disintegration of the SRB measure into
measures supported on local stable manifolds. Such a disintegration gives a method for …

We show that a sectional-hyperbolic attracting set for a Hölder-vector field admits finitely
many physical/SRB measures whose ergodic basins cover Lebesgue almost all points of the …