I provide a proof of the existence of absolutely continuous invariant measures (and study their statistical properties) for multidimensional piecewise expanding systems with not necessarily bounded derivative or distortion. The proof uses basic properties of multidimensional BV functions (the space of functions of bounded variations).
Liverani, C. (2013). Multidimensional expanding maps with singularities: a pedestrian approach. ERGODIC THEORY & DYNAMICAL SYSTEMS, 33, 168-182 [10.1017/S0143385711000939].
Multidimensional expanding maps with singularities: a pedestrian approach
LIVERANI, CARLANGELO
2013-01-01
Abstract
I provide a proof of the existence of absolutely continuous invariant measures (and study their statistical properties) for multidimensional piecewise expanding systems with not necessarily bounded derivative or distortion. The proof uses basic properties of multidimensional BV functions (the space of functions of bounded variations).File in questo prodotto:
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