Showing 2025 · math.PRShow all
2 papers · 2 filters
math.PR2025
Four Function Theorems Through Optimal Transport and Entropic Analogs
Mokshay Madiman, James Melbourne, Cyril Roberto
We study entropic versions of four-function inequalities and give transport proofs of the Euclidean Ahlswede-Daykin theorem and a four-function version of the Prekopa-Leindler ineq…
math.PR2025
Rearrangements and infimum convolutions
Devraj Duggal, James Melbourne, Cyril Roberto
We develop a general comparison result for inf convolution operators related to rearrangement. As a consequence we derive comparison results under spherically symmetric rearrangeme…