We consider discrete time dynamical systems and show the link between Hitting Time
Statistics (the distribution of the first time points land in asymptotically small sets) and …

We prove statistical limit laws for sequences of Birkhoff sums of the type∑ j= 0 n− 1 vn∘ T nj
where T n is a family of nonuniformly hyperbolic transformations. The key ingredient is a new …

A classic approach in dynamical systems is to use particular geometric structures to deduce
statistical properties, for example the existence of invariant measures with stochastic-like …

The transfer operator corresponding to a uniformly expanding map enjoys good spectral
properties. We verify that coupling yields explicit estimates that depend continuously on the …

We consider a general relation between fixed point stability of suitably perturbed transfer
operators and convergence to equilibrium (a notion which is strictly related to decay of …

We consider the quadratic family of maps given by fa (x)= 1− ax 2 on I=[− 1, 1], for the
Benedicks–Carleson parameters. On this positive Lebesgue measure set of parameters …

For a large class of non-uniformly expanding maps of ℝm, with indifferent fixed points and
unbounded distortion and that are non-necessarily Markovian, we construct an absolutely …

We consider a family of one-dimensional maps arising from the contracting Lorenz attractors
studied by Rovella. Benedicks–Carleson techniques were used by Rovella to prove that …

We study how physical measures vary with the underlying dynamics in the open class of C r,
r> 1, strong partially hyperbolic diffeomorphisms for which the central Lyapunov exponents …

On the statistical stability of Lorenz attractors with a C1+α stable foliation Page 1 Ergod. Th. &
Dynam. Sys. (2019), 39, 3169–3184 doi:10.1017/etds.2018.28 c Cambridge University Press …