53 citations · 277 across the 46 of their papers we have counts for
5 papers · 1 filter
Generalized Blaschke--Santaló-type inequalities, without symmetry restrictions
Thomas A. Courtade, Edric Wang
Nakamura and Tsuji (2024) recently investigated a many-function generalization of the functional Blaschke--Santaló inequality, which they refer to as a generalized Legendre duality…
Subadditivity of the log-Sobolev constant on convolutions
Thomas A. Courtade, Edric Wang
We present a general subadditivity inequality for log-Sobolev constants of convolution measures. As a corollary, we show that the log-Sobolev constant is monotone along the sequenc…
Stability of Klartag's improved Lichnerowicz inequality
Thomas A. Courtade, Max Fathi
In a recent work, Klartag gave an improved version of Lichnerowicz' spectral gap bound for uniformly log-concave measures, which improves on the classical estimate by taking into a…
Euclidean Forward-Reverse Brascamp-Lieb Inequalities: Finiteness, Structure and Extremals
Thomas A. Courtade, Jingbo Liu
A new proof is given for the fact that centered gaussian functions saturate the Euclidean forward-reverse Brascamp-Lieb inequalities, extending the Brascamp-Lieb and Barthe theorem…
Stability of the Bakry-Emery theorem on
Thomas A. Courtade, Max Fathi
We prove stability estimates for the Bakry-Emery bound on Poincaré and logarithmic Sobolev constants of uniformly log-concave measures. In particular, we improve the quantitative b…