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math.AP2026
Obstruction to quasi-invariance of Gaussian measures under transport flows on Riemannian Manifolds
Anne-Sophie de Suzzoni, Mickaël Latocca
We prove an obstruction to quasi-invariance of Gaussian fields under divergence free transport flows on Riemannian manifolds. For the centered Gaussian field with covariance $(1-Δ_…
math.AP2026
Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya
Pierre Germain, Mickaël Latocca
We prove Strichartz estimates for the space-time density of solutions to the free Liouville equation on flat tori. In dimension one, we obtain the optimal range of estimates fo…