Year: 2026
Type: preprint
Abstract: We provide an example of a normalized absolutely continuous probability whose location-scatter family (LSF) does not contain all the 2-Wassertein geodesics passing through its elements. In particular, we find a counterexample for Corollary 4.5 in [2]. Finally, we prove that LSFs with a (possibly singular) radially symmetric generator are closed under 2-Wasserstein barycenters.
Source: arXiv (Cornell University)
Author: Aldrigo, Pietro
Institution: University of Bern
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G2621568980, G2909256097, G993971353
OpenAlex ID: W7223707264