3 citations · 3 across the 3 of their papers we have counts for
4 papers
On Foliated Optimal Transport
Diego S. Ledesma, Renata Possobon, Christian S. Rodrigues
In this paper we introduce a geometrically constrained optimal transport problem on Riemannian manifolds endowed with a Borel foliation, in which mass is transported only within in…
Characterization of foliations via disintegration maps
Florentin Münch, Renata Possobon, Christian S. Rodrigues
In this paper, we present a novel approach for analyzing the relationship between the supports of conditional measures and their geometric arrangement in Wasserstein space via the…
Geometric properties of disintegration of measures
Renata Possobon, Christian S. Rodrigues
In this paper, we study a connection between disintegration of measures and geometric properties of probability spaces. We prove a disintegration theorem, addressing disintegration…
Path Cohomology of Locally Finite Digraphs,Hodge's Theorem and the -Lazy Random Walk
André Gomes, Daniel Miranda, Renata Possobon
The study of Markov chains on discrete spaces, such as digraphs, has captivated mathematicians in recent decades due to its interconnectedness with topology, geometry, dynamics, sp…