31 citations · 140 across the 29 of their papers we have counts for
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math.DS2009★ 1 cited
Hausdorff Dimension of Cantor Series
G. Iommi, B. Skorulski
In 1996 Y. Kifer obtained a variational formula for the Hausdorff dimension of the set of points for which the frequencies of the digits in the Cantor series expansion is given. In…
math.DS2009★ 13 cited
Dimension theory for multimodal maps
Godofredo Iommi, Mike Todd
This paper is devoted to the study of dimension theory, in particular multifractal analysis, for multimodal maps. We describe the Lyapunov spectrum, generalising previous results b…
math.DS2009★ 31 cited
Natural equilibrium states for multimodal maps
Godofredo Iommi, Mike Todd
This paper is devoted to the study of the thermodynamic formalism for a class of real multimodal maps. This class contains, but it is larger than, Collet-Eckmann. For a map in this…