24 citations · 168 across the 32 of their papers we have counts for
4 papers · 1 filter
Recovering measures from approximate values on balls
Blanche Buet, Gian Paolo Leonardi
In a metric space we reconstruct an approximation of a Borel measure starting from a premeasure defined on the collection of closed balls, and such that approxi…
Improved convergence theorems for bubble clusters. II. The three-dimensional case
Gian Paolo Leonardi, Francesco Maggi
Given a sequence of almost-minimizing clusters in which converges in to a limit cluster we prove the existence of $C^…
An overview on the Cheeger problem
Gian Paolo Leonardi
This is an expository article presenting various results about the Cheeger problem and its connections with other relevant mathematical problems. In section 2 we synthetically desc…
Quantitative isoperimetric inequalities in H^n
Valentina Franceschi, Gian Paolo Leonardi, Roberto Monti
In the Heisenberg group H^n, we prove quantitative isoperimetric inequalities for Pansu's spheres, that are known to be isoperimetric under various assumptions. The inequalities ar…