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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2011

2011

- Harry Crane
- 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

- Todd Fisher, HIMAL RATHNAKUMARA
- 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 M. Bollt, Pawel Góra, Andrzej Ostruszka, Karol Zyczkowski
- SIAM J. Applied Dynamical Systems
- 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

- Yunping Jiang, Y Jiang
- 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

- Domokos Szász
- 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

- Genadi Levin
- 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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