1 citations · 2 across the 6 of their papers we have counts for
6 papers
Minimizers of the Maximum Distance Problem via an Analyst's Traveling Salesperson Algorithm
Enrique Alvarado, Silvia Ghinassi, Lisa Naples
We provide an upper and lower bound for the length of Maximum Distance Problem minimizers in terms of a finite scale geometric square sum.
Self-similar sets and Lipschitz graphs
Blair Davey, Silvia Ghinassi, Bobby Wilson
We investigate and quantify the distinction between rectifiable and purely unrectifiable 1-sets in the plane. That is, given that purely unrectifiable 1-sets always have null inter…
A step towards the tensorization of Sobolev spaces
Silvia Ghinassi, Vikram Giri, Elisa Negrini
We prove that Sobolev spaces on Cartesian and warped products of metric spaces tensorize, only requiring that one of the factors is a doubling space supporting a Poincaré inequalit…
Endpoint regularity for Mumford-Shah minimizers: On a theorem of Andersson and Mikayelyan
Camillo De Lellis, Matteo Focardi, Silvia Ghinassi
We give an alternative proof of the regularity, up to the loose end, of minimizers, resp. critical points of the Mumford-Shah functional when they are sufficiently close to the cra…
Menger curvatures and rectifiability of measures
Silvia Ghinassi, Max Goering
We further develop the relationship between -numbers and discrete curvatures to provide a new proof that under weak density assumptions, finiteness of the pointwise discrete cur…
Sufficient conditions for parametrization and rectifiability
Silvia Ghinassi
We say a measure is -rectifiable if there is a countable union of -surfaces whose complement has measure zero. We provide sufficient conditions for a Rado…