4 citations · 12 across the 16 of their papers we have counts for
6 papers · 1 filter
Gradient flows of -convex functions with negative
Lorenzo Dello Schiavo, Mattia Magnabosco, Chiara Rigoni
We discuss -convexity and gradient flows for -convex functionals on metric spaces, in the case of real and negative . In this generality, it is necessary to co…
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,…
A review of the tangent space in sub-Finsler geometry and applications to the failure of the condition
Mattia Magnabosco, Tommaso Rossi
We review the construction of the tangent space to a sub-Finsler manifold in the measured Gromov-Hausdorff sense. Under suitable assumptions on the measure, the metric measure tang…
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…