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2011

2011

We describe an extension of the hidden Markov model in which the manifest process conditionally follows a partition model. The… Expand

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2011

2011

We study a family of Markov processes on P (k) , the space of partitions of the natural numbers with at most k blocks. The… Expand

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2008

2008

In the paper we give an introduction to Anosov diffeomorphisms, ways to represent their chaotic properties and some historical… Expand

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2007

2007

Hausdorff dimension for some hyperbolic attractors with overlaps and without finite Markov partition

In this paper some families of skew product self-maps $F$ on the square are considered. The main example is a family forming a… Expand

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2007

2007

Evolutionary systems may often be accurately modelled by Markov processes. However the state space invariably turns out to be… Expand

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Highly Cited

2000

Highly Cited

2000

Henon maps for which the analysis in [BC2] applies are considered. Sets with good hyperbolic properties and nice return… Expand

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1995

1995

We construct a Markov partition for a Feigenbaum-like mapping. We prove that this Markov partition has bounded nearby geometry… Expand

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1994

1994

A transformation T from the unit interval [0, 1] into itself is called a Lasota-Yorke transformation, simply, an L-Y map, if it… Expand

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1989

1989

The Markov partition in dynamical systems suplies us important informations (for examples, for studies of equilibrium states [5… Expand

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1986

1986

We show that given some natural conditions on a 3 x 3 hyperbolic matrix of integers A(detA = l) there exists a Markov partition… Expand

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