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.CA2025
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.MG2025
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 inequali…