Absolutely Continuous Invariant Measures for Piecewise C-2 and Expanding Mappings in Higher Dimensions
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 C-2 and Expanding Mappings in Higher Dimensions. Discrete and Continuous Dynamical Systems, 6(2), 451-458.
Available at: https://aquila.usm.edu/fac_pubs/4228