Fibre expanding systems have been introduced by Denker and Gordin. Here we show the existence of a finite partition for such systems which is fibrewise a Markov partition. Such partitions have direct applications to the Abramov-Rokhlin formula for relative entropy and certain polynomial endomorphisms of ℂ².
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-2-11, author = {Manfred Denker and Hajo Holzmann}, title = {Markov partitions for fibre expanding systems}, journal = {Colloquium Mathematicae}, volume = {111}, year = {2008}, pages = {485-492}, zbl = {1142.37004}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-2-11} }
Manfred Denker; Hajo Holzmann. Markov partitions for fibre expanding systems. Colloquium Mathematicae, Tome 111 (2008) pp. 485-492. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-2-11/