Partially volume expanding diffeomorphisms

Autor: Gan, Shaobo, Li, Ming, Viana, Marcelo, Yang, Jiagang
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/s00023-020-00981-7
Popis: We call a partially hyperbolic diffeomorphism \emph{partially volume expanding} if the Jacobian restricted to any hyperplane that contains the unstable bundle $E^u$ is larger than $1$. This is a $C^1$ open property. We show that any $C^{1+}$ partially volume expanding diffeomorphisms admits finitely many physical measures, the union of whose basins has full volume.
Databáze: arXiv