65 citations · 125 across the 15 of their papers we have counts for
3 papers · 1 filter
On the th-order Affine Pólya-Szegö Principle
Dylan Langharst, Michael Roysdon, Yiming Zhao
An affine Pólya-Szegö principle for a family of affine energies, with equality condition characterization, is demonstrated. In particular, this recovers, as special cases, the $L^p…
On a Santaló point for Nakamura-Tsuji's Laplace transform inequality
Dario Cordero-Erausquin, Matthieu Fradelizi, Dylan Langharst
Nakamura and Tsuji recently obtained an integral inequality involving a Laplace transform of even functions that implies, at the limit, the Blaschke-Santaló inequality in its funct…
Weighted Brunn-Minkowski Theory II: Inequalities for Mixed Measures and Applications
Matthieu Fradelizi, Dylan Langharst, Mokshay Madiman +1
In "Weighted Brunn-Minkowski Theory I", the prequel to this work, we discussed how recent developments on concavity of measures have laid the foundations of a nascent weighted Brun…