Markov partitions for fibre expanding systems

Manfred Denker; Hajo Holzmann

doi:10.4064/cm110-2-11

Markov partitions for fibre expanding systems

Manfred Denker, Hajo Holzmann

Research output: Contribution to journal › Article › peer-review

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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 language	English (US)
Pages (from-to)	485-492
Number of pages	8
Journal	Colloquium Mathematicum
Volume	110
Issue number	2
DOIs	https://doi.org/10.4064/cm110-2-11
State	Published - 2008

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4064/cm110-2-11

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title = "Markov partitions for fibre expanding systems",

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.",

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N1 - Publisher Copyright: © Instytut Matematyczny PAN, 2008.

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N2 - 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.

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.

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Markov partitions for fibre expanding systems

Abstract

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