Geodesic
Markov partitions for fibre expanding systems
Manfred Denker1 ; Hajo Holzmann1
1 Institut für Mathematische Stochastik Universität Göttingen Maschmühlenweg 8-10 37073 Göttingen, Germany
Colloquium Mathematicum, Tome 110 (2008) no. 2, pp. 485-492

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
@article{10_4064_cm110_2_11,
     author = {Manfred Denker and Hajo Holzmann},
     title = {Markov partitions for fibre expanding systems},
     journal = {Colloquium Mathematicum},
     pages = {485--492},
     publisher = {mathdoc},
     volume = {110},
     number = {2},
     year = {2008},
     doi = {10.4064/cm110-2-11},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm110-2-11/}
}
TY  - JOUR
AU  - Manfred Denker
AU  - Hajo Holzmann
TI  - Markov partitions for fibre expanding systems
JO  - Colloquium Mathematicum
PY  - 2008
SP  - 485
EP  - 492
VL  - 110
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm110-2-11/
DO  - 10.4064/cm110-2-11
LA  - en
ID  - 10_4064_cm110_2_11
ER  - 
%0 Journal Article
%A Manfred Denker
%A Hajo Holzmann
%T Markov partitions for fibre expanding systems
%J Colloquium Mathematicum
%D 2008
%P 485-492
%V 110
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm110-2-11/
%R 10.4064/cm110-2-11
%G en
%F 10_4064_cm110_2_11
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

Cité par Sources :