Physical measures for partially hyperbolic surface endomorphisms
classification
🧮 math.DS
math.PR
keywords
dynamicalendomorphismshyperbolicmeasurespartiallyphysicalsurfaceadmits
read the original abstract
We consider dynamical systems generated by partially hyperbolic surface endomorphisms of class C^r with one-dimensional strongly unstable subbundle. As the main result, we prove that such a dynamical system generically admits finitely many ergodic physical measures whose union of basins of attraction has total Lebesgue measure, provided that r>= 19.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.