Markov partitions for fibre expanding systems

Manfred Denker, Hajo Holzmann

Research output: Contribution to journalArticle

1 Citation (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)485-492
Number of pages8
JournalColloquium Mathematicum
Volume110
Issue number2
DOIs
StatePublished - Jan 1 2008

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Markov Partition
Partition
Fiber
Relative Entropy
Endomorphisms
Polynomial

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Denker, Manfred ; Holzmann, Hajo. / Markov partitions for fibre expanding systems. In: Colloquium Mathematicum. 2008 ; Vol. 110, No. 2. pp. 485-492.
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Markov partitions for fibre expanding systems. / Denker, Manfred; Holzmann, Hajo.

In: Colloquium Mathematicum, Vol. 110, No. 2, 01.01.2008, p. 485-492.

Research output: Contribution to journalArticle

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