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• W3088892933 abstract "In this paper we consider the semi-continuity of the physical-like measures for diffeomorphisms with dominated splittings. We prove that any weak-* limit of physical-like measures along a sequence of $C^1$ diffeomorphisms ${f_n}$ must be a Gibbs $F$-state for the limiting map $f$. As a consequence, we establish the statistical stability for the $C^1$ perturbation of the time-one map of three-dimensional Lorenz attractors, and the continuity of the physical measure for the diffeomorphisms constructed by Bonatti and Viana." @default.
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• W3088892933 date "2020-09-23" @default.
• W3088892933 modified "2023-09-26" @default.
• W3088892933 title "Statistical properties of physical-like measures" @default.
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• W3088892933 doi "https://doi.org/10.48550/arxiv.2009.11089" @default.
• W3088892933 hasPublicationYear "2020" @default.
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