2 papers
math.FA2026
-stability for the variance Brascamp-Lieb inequality
Károly J. Böröczky, Yaozhong W. Qiu, Cyril Roberto
We prove an -stability estimate for the variance Brascamp-Lieb inequality [J. Funct. Anal. 22 (4), 366-389 (1976)] by bootstrapping the recent -stability theorem of Macha…
math.DG2014
Quantitative isoperimetric inequalities for log-convex probability measures on the line
F. Feo, M. R. Posteraro, C. Roberto
The purpose of this paper is to analyze the isoperimetric inequality for symmetric log-convex probability measures on the line. Using geometric arguments we first re-prove that ext…