3 papers
math.AP2026
A new Geometric Setting for the Analysis of Partial Differential Equations
Ambroise Soglo, Koffi W. Houédanou, Jamal Adetola +1
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-rati…
math.NA2026
Variable Exponent Wasserstein Spaces: Stability of Entropy Convexity and Modified Rényi Entropy
Ambroise Soglo, Cyrille Combété, Koffi Wilfrid Houédanou +1
We study the Wasserstein space equipped with a distance $\Wp$ constructed from the Lagrangian where with …
math.AP2019
Finsler structure for variable exponent Wasserstein space and gradient flows
Aboubacar Marcos, Ambroise Soglo
In this paper, we propose a variational approach based on optimal transportation to study the existence and unicity of solution for a class of parabolic equations involving -…