Markov partitions for fibre expanding systems

• Autorzy: Manfred Denker , Hajo Holzmann
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37D05: Hyperbolic orbits and sets
• 37A05: Measure-preserving transformations
• 37F10: Polynomials; rational maps; entire and meromorphic functions
• 37A35: Entropy and other invariants, isomorphism, classification

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 110
• Numer: 2
• Strony: 485-492

Daty

wydano

2008

Twórcy

autor

Manfred Denker

• Institut für Mathematische Stochastik, Universität Göttingen, Maschmühlenweg 8-10, 37073 Göttingen, Germany

autor

Hajo Holzmann

• Institut für Mathematische Stochastik, Universität Göttingen, Maschmühlenweg 8-10, 37073 Göttingen, Germany

Identyfikatory

DOI

10.4064/cm110-2-11