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20142026
most citedMumford-Shah functionals on graphs and their asymptotics

17 citations · 46 across the 14 of their papers we have counts for

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3 papers · 1 filter

math.AP2022

Isoperimetric sets and -Cheeger sets are in bijection

Marco Caroccia, Giorgio Saracco

Given an open, bounded, planar set , we consider its -Cheeger sets and its isoperimetric sets. We study the set-valued map $\mathfrak{V}:[\frac12,+\infty)\rightarrow\mathcal{…

math.AP2022

A Compactness Theorem for functions on Poisson point clouds

Marco Caroccia

In this work we show a compactness Theorem for discrete functions on Poisson point clouds. We consider sequences with equibounded non-local -Dirichlet energy: the novelty consis…

math.AP2022★ 4 cited

Asymptotic behavior of the Dirichlet energy on Poisson point clouds

Andrea Braides, Marco Caroccia

We prove that quadratic pair interactions for functions defined on planar Poisson clouds and taking into account pairs of sites of distance up to a certain (large-enough) threshold…