Measures of maximal dimension for linear horseshoes. (English) Zbl 1096.37013
Summary: We consider a linear Smale-William’s’ horseshoe with different contraction/dilatation coefficients and find equilibrinm states of maximal Hausdorff dimension. We compute this dimension and show an example when the state of maximal dimension is non-unique.
MSC:
| 37C45 | Dimension theory of smooth dynamical systems |
| 37A05 | Dynamical aspects of measure-preserving transformations |
| 37D35 | Thermodynamic formalism, variational principles, equilibrium states for dynamical systems |
| 28D05 | Measure-preserving transformations |
