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4 papers · 2 filters
The geometry of Euclidean convolution inequalities and entropy
Dario Cordero-Erausquin, Michel Ledoux
The goal of this note is to show that some convolution type inequalities from Harmonic Analysis and Information Theory, such as Young's convolution inequality (with sharp constant)…
Correlation and Brascamp-Lieb inequalities for Markov semigroups
F. Barthe, D. Cordero-Erausquin, M. Ledoux +1
This paper builds upon several recent works, where semigroup proofs of Brascamp-Lieb inequalities are provided in various settings (Euclidean space, spheres and symmetric groups).…
Functions with Prescribed Best Linear Approximations
P. L. Combettes, N. N. Reyes
A common problem in applied mathematics is to find a function in a Hilbert space with prescribed best approximations from a finite number of closed vector subspaces. In the present…
Tree metrics and their Lipschitz-free spaces
Alexandre Godard
We compute the Lipschitz-free spaces of subsets of the real line and characterize subsets of metric trees by the fact that their Lipschitz-free space is isometric to a subspace of…