Absolutely Continuous Invariant Measures for Piecewise C2 and Expanding Mappings in Higher Dimensions
Document Type
Article
Publication Date
4-1-2000
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
In this paper, by using a trace theorem in the theory of functions of bounded variation, we prove the existence of absolutely continuous invariant measures for a class of piecewise expanding mappings of general bounded domains in any dimension.
Publication Title
Discrete and Continuous Dynamical Systems
Volume
6
Issue
2
First Page
451
Last Page
458
Recommended Citation
Ding, J.,
Zhou, A.
(2000). Absolutely Continuous Invariant Measures for Piecewise C2 and Expanding Mappings in Higher Dimensions. Discrete and Continuous Dynamical Systems, 6(2), 451-458.
Available at: https://aquila.usm.edu/fac_pubs/4228