Geodesic
Markov partitions for fibre expanding systems
Manfred Denker 1   ; Hajo Holzmann 1
1 Institut für Mathematische Stochastik Universität Göttingen Maschmühlenweg 8-10 37073 Göttingen, Germany
Colloquium Mathematicum, Tome 110 (2008) no. 2, pp. 485-492 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 ${\mathbb C}^2$.
DOI : 10.4064/cm110-2-11
Keywords: fibre expanding systems have introduced denker gordin here existence finite partition systems which fibrewise markov partition partitions have direct applications abramov rokhlin formula relative entropy certain polynomial endomorphisms mathbb

Manfred Denker  1   ; Hajo Holzmann  1

1 Institut für Mathematische Stochastik Universität Göttingen Maschmühlenweg 8-10 37073 Göttingen, Germany 
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Manfred Denker; Hajo Holzmann. Markov partitions for fibre expanding systems. Colloquium Mathematicum, Tome 110 (2008) no. 2, pp. 485-492. doi: 10.4064/cm110-2-11

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