3 papers
math.MG2026
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.
math.CA2024
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…
math.AP2020
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…