Preprint
Aug 2026
A new Geometric Setting for the Analysis of Partial Differential Equations
In this paper, we introduce a hybrid metric geometry on the space of absolutely continuous probability densities that combines optimal transport (Wasserstein geometry) and log-ratio composition (Aitchison geometry). The hybrid distance $D_\alpha$ is defined through a Benamou--Brenier-type dynamical formulation that cou...
A. Soglo, K. W. Houédanou, Jamal Adetola et al.
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