Surface area measures of log-concave functions

DOI10.1007/s11854-022-0227-2OpenAlexW3039245444WikidataQ113899790 ScholiaQ113899790MaRDI QIDQ2089924

Liran Rotem

Publication date: 24 October 2022

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.16933

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Functions of several variables (26Bxx)

Related Items (2)

On the framework of \(L_p\) summations for functions ⋮ \textit{A priori} bounds, existence, and uniqueness of smooth solutions to an anisotropic \(L_p\) Minkowski problem for log-concave measure

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dealing with moment measures via entropy and optimal transport
• Support functions and mean width for \(\alpha\)-concave functions
• Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties
• The log-Brunn-Minkowski inequality
• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• Moment measures
• Differential analysis of polarity: polar Hamilton-Jacobi, conservation laws, and Monge Ampère equations
• The first variation of the total mass of log-concave functions and related inequalities
• On the \(L_{p}\) Minkowski problem for polytopes
• The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry
• Geometry of log-concave functions and measures
• On the Mean Width of Log-Concave Functions
• Convex Bodies The Brunn-MinkowskiTheory
• The Santaló point of a function, and a functional form of the Santaló inequality
• $p$-Means of Convex Bodies.

This page was built for publication: Surface area measures of log-concave functions