Absolutely continuous invariant probability measures for arbitrary expanding piecewise R-analytic mappings of the plane

Authors
Buzzi, J
Citation
J. Buzzi, Absolutely continuous invariant probability measures for arbitrary expanding piecewise R-analytic mappings of the plane, ERGOD TH DY, 20, 2000, pp. 697-708
Citations number
18
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857 → ACNP
Volume
20
Year of publication
2000
Part
3
Pages
697 - 708
Database
ISI
SICI code
0143-3857(200006)20:<697:ACIPMF>2.0.ZU;2-W
Abstract
We prove that any expanding piecewise real-analytic map of a bounded region of the plane admits absolutely continuous invariant probability measures.