Iterations of the Frobenius-Perron operator for parabolic random maps
Zbigniew S. Kowalski
Fundamenta Mathematicae, Tome 205 (2009), p. 241-250 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:283276 
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     author = {Zbigniew S. Kowalski},
     title = {Iterations of the Frobenius-Perron operator for parabolic random maps},
     journal = {Fundamenta Mathematicae},
     volume = {205},
     year = {2009},
     pages = {241-250},
     zbl = {1160.37310},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm202-3-3}
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Zbigniew S. Kowalski. Iterations of the Frobenius-Perron operator for parabolic random maps. Fundamenta Mathematicae, Tome 205 (2009) pp. 241-250. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm202-3-3/