3 papers
math.MG2026
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…
math.PR2024
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…
math.PR2024
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…