Markov partition

A Markov partition is a tool used in dynamical systems theory, allowing the methods of symbolic dynamics to be applied to the study of hyperbolic… (More)
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1973-2017
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2011
2011
We study a family of Markov processes on P , the space of partitions of the natural numbers with at most k blocks. The process… (More)
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2009
2009
We show that if f is a diffeomorphism of a manifold to itself, Λ is a mixing (or transitive) hyperbolic set, and V is a… (More)
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2008
2008
Erik Bollt, Pawe l Góra, Andrzej Ostruszka, and Karol Życzkowski Department of Mathematics & Computer Science and Department of… (More)
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2004
2004
We construct a Markov partition for a Feigenbaum-like mapping. We prove that this Markov partition has bounded nearby geometry… (More)
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2004
2004
  • TORAL ENDOMORPHISM, Kinga Stolot
  • 2004
We define and construct Markov partition for a certain toral endomorphism and then we use it to obtain a symbolic representation… (More)
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Review
2003
Review
2003
Markov partitions work most efficiently for Anosov systems or for Axiom A systems. However, for hyperbolic dynamical systems… (More)
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2002
2002
We show how to construct a Markov partition that reflects the geometrical action of a hyperbolic automorphism of the n-torus. The… (More)
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2002
2002
We build a Markov partition of the Feigenbaum dynamical plane, and a system of “external rays”, which are invariant under… (More)
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1999
1999
Using self similar tilings we represent the elements of Rn as digit expansions with digits in Rn being operated on by powers of… (More)
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1999
1999
  • Kinga Stolot, IMUJ Preprint
  • 1999
We deene and construct Markov partition for a certain toral endomorphism and then we use it to obtain a symbolic representation… (More)
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