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math.FA2019
Regularity versus smoothness of measures
Jonathan M. Fraser, Sascha Troscheit
The Assouad and lower dimensions and dimension spectra quantify the regularity of a measure by considering the relative measure of concentric balls. On the other hand, one can quan…
math.FA2014
First and second moments for self-similar couplings and Wasserstein distances
Jonathan M. Fraser
We study aspects of the Wasserstein distance in the context of self-similar measures. Computing this distance between two measures involves minimising certain moment integrals over…