CONE STRUCTURE OF L2-WASSERSTEIN SPACES

DOI10.1142/S1793525312500112zbMath1253.28001arXiv0812.2752MaRDI QIDQ3166255

Asuka Takatsu, Takumi Yokota

Publication date: 10 October 2012

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.2752

zbMATH Keywords

cone structureWasserstein spacesplitting a Hilbert space

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Spaces of measures, convergence of measures (28A33)

Related Items (4)

Lower bound for the coarse Ricci curvature of continuous-time pure-jump processes ⋮ Wasserstein geometry of Gaussian measures ⋮ A GEOMETRIC STUDY OF WASSERSTEIN SPACES: HADAMARD SPACES ⋮ On the spread of positively curved Alexandrov spaces

Cites Work

• Contractions in the 2-Wasserstein length space and thermalization of granular media
• A splitting theorem for infinite dimensional Alexandrov spaces with nonnegative curvature and its applications
• Constrained steepest descent in the 2-Wasserstein metric
• On the geometry of metric measure spaces. I
• THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
• The Variational Formulation of the Fokker--Planck Equation

This page was built for publication: CONE STRUCTURE OF L²-WASSERSTEIN SPACES