1.Instituto de Matemática,Universidade Federal da Bahia,Salvador,Brazil;2.Departamento de Matemática,Universidade Federal da Bahia,Salvador,Brazil
Abstract:
We construct open sets of Ck (k ≥ 2) vector fields with singularities that have robust exponential decay of correlations with respect to the unique physical measure. In particular we prove that the geometric Lorenz attractor has exponential decay of correlations with respect to the unique physical measure.