Comparison of transport map generated by heat flow interpolation and the optimal transport Brenier map

DOI10.1142/S021919972050025XMaRDI QIDQ5002175

Anastasiya Tanana

Publication date: 27 July 2021

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.06464

zbMATH Keywords

heat flowthe brenier optimal transport map

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07)

Related Items (3)

The flow map of the Fokker-Planck equation does not provide optimal transport ⋮ Exact renormalization groups and transportation of measures ⋮ Transportation onto log-Lipschitz perturbations

Cites Work

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• A convexity principle for interacting gases
• A particular case of correlation inequality for the Gaussian measure
• A generalization of Caffarelli's contraction theorem via (reverse) heat flow
• Monotonicity properties of optimal transportation and the FKG and related inequalities

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