Statistical properties of physical-like measures*
نویسندگان
چکیده
In this paper we consider the semi-continuity of physical-like measures for diffeomorphisms with dominated splittings. We prove that any weak-* limit along a sequence $C^1$ $\{f_n\}$ must be Gibbs $F$-state limiting map $f$. As consequence, establish statistical stability perturbation time-one three-dimensional Lorenz attractors, and continuity physical measure constructed by Bonatti Viana.
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2021
ISSN: ['0951-7715', '1361-6544']
DOI: https://doi.org/10.1088/1361-6544/abd7c9