Markov partitions for fibre expanding systems
Volume 110 / 2008
Colloquium Mathematicum 110 (2008), 485-492
MSC: 37D05, 37A05, 37A35, 37F10.
DOI: 10.4064/cm110-2-11
Abstract
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 ${\mathbb C}^2$.
