Absolutely Continuous Invariant Measuresfor Piecewise Real-Analytic Expanding Mapson the Plane
Abstract
We prove the existence of absolutely continuous invariant measures for piecewise real-analytic expanding maps on bounded regions in the plane.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- 2000
- DOI:
- 10.1007/s002200050003
- Bibcode:
- 2000CMaPh.208..605T