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math.PR2022★ 3 cited
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.PR2019
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…