Measures of maximal dimension for linear horseshoes.

Michał Rams

doi:rae/1149516807

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Home > Journals > Real Anal. Exchange > Volume 31 > Issue 1 > Article

2005-2006 Measures of maximal dimension for linear horseshoes.

Michał Rams

Author Affiliations +

Michał Rams¹
¹Institute of Mathematics, Polish Academy of Sciences

Real Anal. Exchange 31(1): 55-62 (2005-2006).

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Abstract

We consider a linear Smale-William's' horseshoe with different contraction/dilatation coefficients and find equilibrium states of maximal Hausdorff dimension. We compute this dimension and show an example when the state of maximal dimension is non-unique.