Basin problem for Hénon-like attractors in arbitrary dimensions
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We prove that Hénon-like strange attractors of diffeomorphisms in any dimensions, such as considered in ,, and  support a unique Sinai-Ruelle-Bowen (SRB) measure and have the no-hole property: Lebesgue almost every point in the basin of attraction is generic for the SRB measure. This extends two-dimensional results of Benedicks-Young  and Benedicks-Viana , respectively.