A Bernstein-type inequality for some mixing processes and dynamical systems with an application
to learning Page 1 The Annals of Statistics 2017, Vol. 45, No. 2, 708–743 DOI …

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 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 transformations preserving a contracting foliation, such that the associated
quotient map satisfies a Lasota-Yorke inequality. We prove that the associated transfer …

We consider a class of maps from the unit square to itself preserving a contracting foliation
and inducing a one-dimensional map having an absolutely continuous invariant measure …

We construct open sets of C k (k≥ 2) vector fields with singularities that have robust
exponential decay of correlations with respect to the unique physical measure. In particular …

We obtain a exponential large deviation upper bound for continuous observables on
suspension semiflows over a non-uniformly expanding base transformation with non-flat …

We study a class of ordinary differential equations with a non-Lipschitz point singularity that
admits non-unique solutions through this point. As a selection criterion, we introduce …

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 …

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