3 citations · 10 across the 11 of their papers we have counts for
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Constancy of the dimension in codimension one and locality of the unit normal on spaces
Elia Bruè, Enrico Pasqualetto, Daniele Semola
The aim of this paper is threefold. We first prove that, on spaces, the boundary measure of any set with finite perimeter is concentrated on the -regular set…
Improved regularity estimates for Lagrangian flows on spaces
Elia Bruè, Qin Deng, Daniele Semola
This paper gives a contribution to the study of regularity of Lagrangian flows on non-smooth spaces with lower Ricci curvature bounds. The main novelties with respect to the existi…
Rectifiability of RCD(K,N) spaces via -splitting maps
Elia Bruè, Enrico Pasqualetto, Daniele Semola
In this note we give new proofs of rectifiability of RCD(K,N) spaces as metric measure spaces and lower semicontinuity of the essential dimension, via -splitting maps. The argum…
Rectifiability of the reduced boundary for sets of finite perimeter over RCD spaces
Elia Bruè, Enrico Pasqualetto, Daniele Semola
This note is devoted to the study of sets of finite perimeter over RCD metric measure spaces. Its aim is to complete the picture about the generalization of De Giorgi's theo…
Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces
Gioacchino Antonelli, Elia Bruè, Daniele Semola
The aim of this note is to generalize to the class of non collapsed RCD(K,N) metric measure spaces the volume bound for the effective singular strata obtained by Cheeger and Naber…
Constancy of the dimension for RCD(K,N) spaces via regularity of Lagrangian flows
Elia Bruè, Daniele Semola
We prove a regularity result for Lagrangian flows of Sobolev vector fields over RCD(K,N) metric measure spaces, regularity is understood with respect to a newly defined quasi-metri…