Moment measures and stability for Gaussian inequalities

zbMath1413.28025arXiv1801.00140MaRDI QIDQ4559030

Alexander V. Kolesnikov, Egor D. Kosov

Publication date: 30 November 2018

Full work available at URL: https://arxiv.org/abs/1801.00140

zbMATH Keywords

moment measureoptimal transportationKähler-Einstein equationGaussian inequalities

Mathematics Subject Classification ID

Stochastic calculus of variations and the Malliavin calculus (60H07) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Variational problems in infinite-dimensional spaces (58E99)

Related Items (6)

Stability estimates for invariant measures of diffusion processes, with applications to stability of moment measures and Stein kernels ⋮ A sharp symmetrized form of Talagrand's transport-entropy inequality for the Gaussian measure ⋮ Stability of the Prékopa-Leindler inequality for log-concave functions ⋮ Stability of Talagrand's Gaussian transport-entropy inequality via the Föllmer process ⋮ Blaschke-Santaló inequality for many functions and geodesic barycenters of measures ⋮ Stein kernels and moment maps

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