- 97-560 Saussol B.
- Absolutely Continuous Invariant Measures for Multidimensional Expanding Maps
Oct 31, 97
(auto. generated ps),
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Abstract. We investigate the existence and statistical properties of
absolutely continuous invariant measures for multidimensional
expanding maps with singularities.
The key point is the establishment of a spectral gap in the spectrum
of the transfer operator.
Our assumptions appears quite naturally for maps with singularities.
We allow maps that are discontinuous on some extremely wild sets, the shape
of the discontinuities being completely ignored with our approach.