Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615329 | Journal of Mathematical Analysis and Applications | 2015 | 8 Pages |
Abstract
Let M be a compact manifold and Diffm1(M) be the set of C1 volume-preserving diffeomorphisms of M. We prove that there is a residual subset RâDiffm1(M) such that each fâR is a continuity point of the map gâhm(g) from Diffm1(M) to R, where hm(g) is the metric entropy of g with respect to volume measure m.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jiagang Yang, Yunhua Zhou,