q-Moment Measures and Applications: A New Approach via Optimal Transport

zbMath1482.49012arXiv2008.09362MaRDI QIDQ5026417

Huynh Khanh, Filippo Santambrogio

Publication date: 8 February 2022

Full work available at URL: https://arxiv.org/abs/2008.09362

zbMATH Keywords

convex functionsaffine spheresWasserstein spaces

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Classification of affine varieties (14R05) Convexity of real functions of several variables, generalizations (26B25) Monge-Ampère equations (35J96) Optimal transportation (49Q22)

Related Items (2)

Stability estimates for invariant measures of diffusion processes, with applications to stability of moment measures and Stein kernels ⋮ A variant of Caffarelli's contraction theorem for probability distributions of negative powers

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