70 citations · 210 across the 21 of their papers we have counts for
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math.DS2007★ 11 cited
Hölder-differentiability of Gibbs distribution functions
Marc Kesseböhmer, Bernd O. Stratmann
In this paper we give non-trivial applications of the thermodynamic formalism to the theory of distribution functions of Gibbs measures (devil's staircases) supported on limit sets…
math.DS2007★ 40 cited
Fractal analysis for sets of non-differentiability of Minkowski's question mark function
Marc Kesseböhmer, Bernd O. Stratmann
In this paper we study various fractal geometric aspects of the Minkowski question mark function We show that the unit interval can be written as the union of the three sets $…