2011/10/13 by Asuka Takatsu, Takatsu, Asuka
Mathematics · Physics and Astronomy · #51F20 #60D05 #Advanced Differential Geometry Research #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Point processes and geometric inequalities #Probability (math.PR) #math.MG #math.PR #msc:51F20 #msc:60D05
paper · pdf · doi:10.48550/arxiv.1110.3036
5 pages
arxiv created 2011/10/13 · openalex publication_date 2011/10/13 · arxiv updated 2011/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Given any two probability measures on a Euclidean space with mean 0 and finite variance, we demonstrate that the two probability measures are orthogonal in the sense of Wasserstein geometry if and only if the two spaces by spanned by the supports of each probability measure are orthogonal.