Absolutely Continuous Invariant Measures for Piecewise C2 and Expanding Mappings in Higher Dimensions
Mathematics and Natural Sciences
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.
Discrete and Continuous Dynamical Systems
(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