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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… 
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Papers overview

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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… 
Highly Cited
2007
Highly Cited
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… 
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… 
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… 
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… 
2000
2000
In this paper, we prove that unicritical polynomials with metrically generic combinatorics of the critical orbit satisfy Collet… 
2000
2000
We consider analytically coupled circle maps (uniformly expanding and analytic) on the ${\mathbb Z}^d$-lattice with exponentially… 
1986
1986
  • T. Bedford
  • Ergodic Theory and Dynamical Systems
  • 1986
  • Corpus ID: 120961163
Abstract We show that given some natural conditions on a 3 × 3 hyperbolic matrix of integers A(det A = 1) there exists a Markov…