20 citations · 37 across the 6 of their papers we have counts for
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math.DS2014★ 17 cited
Multifractal analysis of the irregular set for almost-additive sequences via large deviations
Thiago Bomfim, Paulo Varandas
In this paper we introduce a notion of free energy and large deviations rate function for asymptotically additive sequences of potentials via an approximation method by families of…
math.DS2014★ 20 cited
Multifractal analysis for weak Gibbs measures: from large deviations to irregular sets
Thiago Bomfim, Paulo Varandas
In this article we prove estimates for the topological pressure of the set of points whose Birkhoff time averages are far from the space averages corresponding to the unique equili…