Iterations of the Frobenius–Perron operator for parabolic random maps
Volume 202 / 2009
Fundamenta Mathematicae 202 (2009), 241-250
MSC: Primary 37A40.
DOI: 10.4064/fm202-3-3
Abstract
We describe totally dissipative parabolic extensions of the one-sided Bernoulli shift. For the fractional linear case we obtain conservative and totally dissipative families of extensions. Here, the property of conservativity seems to be extremely unstable.