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math.DS2016
Semi-hyperbolic maps are rare
Magnus Aspenberg
We prove in this paper that the set of semi-hyperbolic rational maps has Lebesgue measure zero in the space of rational maps of the Riemann sphere for a fixed degree d at least 2.…
math.DS2016★ 8 cited
Shrinking targets in parametrised families
Magnus Aspenberg, Tomas Persson
We consider certain parametrised families of piecewise expanding maps on the interval, and estimate and sometimes calculate the Hausdorff dimension of the set of parameters for whi…