Markov partitions for fibre expanding systems

Manfred Denker, and Hajo Holzmann. "Markov partitions for fibre expanding systems." Colloquium Mathematicae 110.2 (2008): 485-492. <http://eudml.org/doc/283759>.

@article{ManfredDenker2008,
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 ℂ².},
author = {Manfred Denker, Hajo Holzmann},
journal = {Colloquium Mathematicae},
keywords = {Markov partition; fibred system; entropy; polynomial map},
language = {eng},
number = {2},
pages = {485-492},
title = {Markov partitions for fibre expanding systems},
url = {http://eudml.org/doc/283759},
volume = {110},
year = {2008},
}

TY - JOUR
AU - Manfred Denker
AU - Hajo Holzmann
TI - Markov partitions for fibre expanding systems
JO - Colloquium Mathematicae
PY - 2008
VL - 110
IS - 2
SP - 485
EP - 492
AB - 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.
LA - eng
KW - Markov partition; fibred system; entropy; polynomial map
UR - http://eudml.org/doc/283759
ER -