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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

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…

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

Abstract We show that given some natural conditions on a 3 × 3 hyperbolic matrix of integers A(det A = 1) there exists a Markov…