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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… Click to show full 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.
Keywords:
like measures;
supported nsfc;
measures supported;
properties physical;
physical like;
statistical properties
Journal Title: Nonlinearity
Year Published: 2020
Link to full text (if available)
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Journal Title: Nonlinearity
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!