Statistical properties of physical-like measures*

Gan, Shaobo1; Yang, Fan2; Yang, Jiagang3; Zheng, Rusong4

2021-02-01

10.1088/1361-6544/abd7c9

NONLINEARITY   影响因子和分区

0951-7715

1361-6544

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.

physical-like measures Gibbs F-states dominated splitting statistical stability

SCI

英语

其他

NSFC[11771025,11831001] ; NSFC of China[11871487]

Mathematics ; Physics

Mathematics, Applied ; Physics, Mathematical

WOS:000620494900001

IOP PUBLISHING LTD

MATHEMATICS

Web of Science

1.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
2.Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
3.Univ Fed Fluminense, Inst Matemat & Estat, Dept Geometria, Niteroi, RJ, Brazil
4.Southern Univ Sci & Technol, Shenzhen 518055, Peoples R China

Gan, Shaobo,Yang, Fan,Yang, Jiagang,et al. Statistical properties of physical-like measures*[J]. NONLINEARITY,2021,34(2).

Gan, Shaobo,Yang, Fan,Yang, Jiagang,&Zheng, Rusong.(2021).Statistical properties of physical-like measures*.NONLINEARITY,34(2).

Gan, Shaobo,et al."Statistical properties of physical-like measures*".NONLINEARITY 34.2(2021).