Gradient Flows in Wasserstein Space and Curvature-Dimension Inequalities on Metric Measure Spaces

Zenodo (CERN European Organization for Nuclear Research) 2026 Open access

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Authors: Zen Revista, 10 MFC
DOI: 10.5281/zenodo.18142869
Cited by: 0

Abstract

We establish a rigorous equivalence between the K-displacement convexity of the Boltzmann-Shannon entropy functional and the Evolution Variational Inequality formulation of gradient flows in the Wasserstein space over metric measure spaces.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Nonlinear Partial Differential Equations Point processes and geometric inequalities

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
4 January 2026