Some convexity criteria for differentiable functions on the 2‐Wasserstein space
(2024)
Journal Article
Parker, G. (2024). Some convexity criteria for differentiable functions on the 2‐Wasserstein space. Bulletin of the London Mathematical Society, 56(5), 1839–1858. https://doi.org/10.1112/blms.13030
We show that a differentiable function on the 2‐Wasserstein space is geodesically convex if and only if it is also convex along a larger class of curves which we call ‘acceleration‐free’. In particular, the set of acceleration‐free curves includes al... Read More about Some convexity criteria for differentiable functions on the 2‐Wasserstein space.