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math.DS2020★ 2 cited
Rough Weierstrass functions and dynamical systems: the smoothness of the SBR measure
Peter Imkeller, Olivier Menoukeu Pamen, Goncalo dos Reis +1
We investigate Weierstrass functions with roughness parameter that are Hölder continuous with coefficient Analytical access is provided by an embedd…
math.DS2018★ 2 cited
On the Hausdorff dimension of a 2-dimensional Weierstrass curve
Peter Imkeller, Goncalo dos Reis
We compute the Hausdorff dimension of a two-dimensional Weierstrass function, related to lacunary (Hadamard gap) power series, that has no Lévy area. This is done by interpreting i…