4 citations · 7 across the 5 of their papers we have counts for
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math.DS2019
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures
Alexander Condori, Silas L. Carvalho
We investigate in this work some situations where it is possible to estimate or determine the upper and the lower -generalized fractal dimensions , $q\in\mathbb{R}…
math.DS2019★ 3 cited
Generalized fractal dimensions of invariant measures of full-shift systems over uncountable alphabets: generic behavior
Silas Luiz Carvalho, Alexander Condori
In this paper we show that, for topological dynamical systems with a dense set (in the weak topology) of periodic measures, a typical (in Baire's sense) invariant measure has, for…
math.DS2019★ 4 cited
Generic properties of invariant measures of full-shift systems over perfect separable metric spaces
Silas Luiz Carvalho, Alexander Condori
In this work, we are interested in characterizing typical (generic) dimensional properties of invariant measures associated with the full-shift system, , in a product space whos…