A (one-dimensional) free Brunn-Minkowski inequality

DOI10.1016/j.crma.2004.12.017zbMath1064.60032OpenAlexW2078416553MaRDI QIDQ1775074

Michel Ledoux

Publication date: 4 May 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.12.017

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)

Related Items (7)

A log-Sobolev type inequality for free entropy of two projections ⋮ Free functional inequalities on the circle ⋮ The free logarithmic Sobolev and the free transportation cost inequalities by time integrations ⋮ Mass transportation proofs of free functional inequalities, and free Poincaré inequalities ⋮ Free Stein kernels and an improvement of the free logarithmic Sobolev inequality ⋮ FREE TRANSPORTATION COST INEQUALITIES FOR NONCOMMUTATIVE MULTI-VARIABLES ⋮ The one dimensional free Poincaré inequality

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• Volumes of restricted Minkowski sums and the free analogue of the entropy power inequality
• On fluctuations of eigenvalues of random Hermitian matrices.
• Free diffusions, free entropy and free Fisher information
• A free probability analogue of the Wasserstein metric on the trace-state space

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