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: http://aquila.usm.edu/fac_pubs/4228