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math.DS2008
The Hausdorff dimension of the set of dissipative points for a Cantor-like model set for singly cusped parabolic dynamics
J. Schmeling, B. O. Stratmann
In this paper we introduce and study a certain intricate Cantor-like set contained in unit interval. Our main result is to show that the set itself, as well as the set of d…
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 $…