25 citations · 76 across the 13 of their papers we have counts for
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math.DG2023
Monotonicity formula and stratification of the singular set of perimeter minimizers in RCD spaces
Francesco Fiorani, Andrea Mondino, Daniele Semola
The goal of this paper is to establish a monotonicity formula for perimeter minimizing sets in RCD(0,N) metric measure cones, together with the associated rigidity statement. The a…
hep-th2023★ 8 cited
Harmonic functions and gravity localization
G. Bruno De Luca, Nicolò De Ponti, Andrea Mondino +1
In models with extra dimensions, matter particles can be easily localized to a 'brane world', but gravitational attraction tends to spread out in the extra dimensions unless they a…
math.DG2023★ 4 cited
On the notion of Laplacian bounds on spaces and applications
Nicola Gigli, Andrea Mondino, Daniele Semola
We show that several different interpretations of the inequality are equivalent in the setting of spaces. With respect to previously available results…