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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… Expand
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2015
2015
We give a description of some limit theorems and the corresponding proofs for various transfer operators. Our examples are… Expand
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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2010
2010
We continue the program of Bedient et al.1 by investigating some of the ways of embedding IFS with 1-step memory into IFS with 2… Expand
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2007
2007
The minimum dilatation of pseudo-Anosov 5-braids is shown to be the largest zero λ5 ≈ 1.72208 of x 4 -x 3 -x 2 -x+1, which is… Expand
2007
2007
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
2005
2005
We study the expression (susceptibility) where f is a unimodal Markovian map of the interval I, ? = ?f is the corresponding… Expand
Highly Cited
2003
Highly Cited
2003
For a given expanding d-fold covering transformation of the one-dimensional torus, the notion of weak Gibbs measure is defined by… Expand
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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2000
2000
In this paper, we prove that unicritical polynomials with metrically generic combinatorics of the critical orbit satisfy Collet… Expand
2000
2000
We consider analytically coupled circle maps (uniformly expanding and analytic) on the ${\mathbb Z}^d$-lattice with exponentially… Expand