29 citations · 43 across the 21 of their papers we have counts for
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math.MG2016★ 2 cited
Structure of Porous Sets in Carnot Groups
Andrea Pinamonti, Gareth Speight
We show that any Carnot group contains a closed nowhere dense set which has measure zero but is not -porous with respect to the Carnot-Carathéodory (CC) distance. In the first H…
math.MG2016
Porosity, Differentiability and Pansu's Theorem
Andrea Pinamonti, Gareth Speight
We use porosity to study differentiability of Lipschitz maps on Carnot groups. Our first result states that directional derivatives of a Lipschitz function act linearly outside a $…
math.MG2016
Lusin approximation for horizontal curves in step 2 Carnot groups
Enrico Le Donne, Gareth Speight
A Carnot group admits Lusin approximation for horizontal curves if for any absolutely continuous horizontal curve in and , there is a $…