The anisotropic total variation and surface area measures

DOI10.1007/978-3-031-26300-2_11MaRDI QIDQ6608552

Liran Rotem

Publication date: 20 September 2024

zbMATH Keywords

surface area measuressemi-continuous log-concave functions

Mathematics Subject Classification ID

Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• Dealing with moment measures via entropy and optimal transport
• Critères de convexité et inégalités intégrales
• The reverse isoperimetric problem for Gaussian measure
• Surface area measures of log-concave functions
• Moment measures
• Quermassintegrals of quasi-concave functions and generalized Prékopa-Leindler inequalities
• The first variation of the total mass of log-concave functions and related inequalities
• Geometry of log-concave functions and measures
• A Note on the Gauss-Green Theorem
• On the Mean Width of Log-Concave Functions
• Lectures on Convex Geometry
• Convex Bodies The Brunn-MinkowskiTheory
• Uniform almost sub-Gaussian estimates for linear functionals on convex sets
• The Santaló point of a function, and a functional form of the Santaló inequality
• The Gauss-Green Theorem

Related Items (1)

Dual Orlicz curvature measures for log-concave functions and their Minkowski problems

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