4 citations · 12 across the 16 of their papers we have counts for
12 papers · 1 filter
On the rectifiability of and spaces with unique tangents
Mattia Magnabosco, Andrea Mondino, Tommaso Rossi
We prove rectifiability results for and metric measure spaces with pointwise Ahlfors regular reference…
On the existence of -Optimal Transport maps for norms on
Guoxi Liu, Mattia Magnabosco, Yicheng Xia
In this paper, we prove existence of -optimal transport maps with in a class of branching metric spaces defined on . In particular, we introdu…
Metric conditions that guarantee existence and uniqueness of Optimal Transport maps
Shucheng Li, Mattia Magnabosco, Timo Schultz
We investigate metric conditions that allow to prove existence and uniqueness of a map solving the Monge problem between two marginals in a metric (measure) space, proving two main…
Curvature exponent of sub-Finsler Heisenberg groups
Samuël Borza, Mattia Magnabosco, Tommaso Rossi +1
The curvature exponent of a metric measure space is the smallest number for which the measure contraction property holds. In this paper,…
Measure contraction property and curvature-dimension condition on sub-Finsler Heisenberg groups
Samuël Borza, Mattia Magnabosco, Tommaso Rossi +1
In this paper, we investigate the validity of synthetic curvature-dimension bounds in the sub-Finsler Heisenberg group, equipped with a positive smooth measure. Firstly, we study t…
Examples of spaces with non-constant dimension
Mattia Magnabosco
In this work, we generalize the results obtained in (J. Geom. Anal., 32(6):Paper No.173, 32, 2022), presenting some examples of spaces having different dimensions in diff…
Failure of the curvature-dimension condition in sub-Finsler manifolds
Mattia Magnabosco, Tommaso Rossi
The Lott-Sturm-Villani curvature-dimension condition provides a synthetic notion for a metric measure space to have curvature bounded from below by and dimen…
The strong Brunn--Minkowski inequality and its equivalence with the CD condition
Mattia Magnabosco, Lorenzo Portinale, Tommaso Rossi
In the setting of essentially non-branching metric measure spaces, we prove the equivalence between the curvature dimension condition CD(K,N), in the sense of Lott--Sturm--Villani,…
A canonical infinitesimally Hilbertian structure on locally Minkowski spaces
Mattia Magnabosco, Chiara Rigoni
The aim of this paper is to show the existence of a canonical distance defined on a locally Minkowski metric measure space such tha…
Convergence of metric measure spaces satisfying the CD condition for negative values of the dimension parameter
Mattia Magnabosco, Chiara Rigoni, Gerardo Sosa
We study the problem of whether the curvature-dimension condition with negative values of the generalized dimension parameter is stable under a suitable notion of convergence. To t…
A Metric Stability Result for the Very Strict CD Condition
Mattia Magnabosco
In (Calc.Var.PDE 2018) Schultz generalized the work of Rajala and Sturm (Calc.Var.PDE 2014), proving that a weak non-branching condition holds in the more general setting of very s…
Example of an Highly Branching CD Space
Mattia Magnabosco
Ketterer and Rajala showed an example of metric measure space, satisfying the measure contraction property , that has different topological dimensions at different region…