Year: 2026
Type: preprint
Abstract: The ubiquity of geometric Brascamp-Lieb data, which refers to a certain density property of geometric data within the set of all feasible Brascamp-Lieb data, has recently been studied. Motivated in part by a question of Bennett-Tao concerning a possible connection or analogue of the adjoint Brascamp-Lieb inequality to the forward-reverse Brascamp-Lieb inequality, we establish ubiquity in the forward-reverse setting. Our proof takes an analytic approach and, to overcome the difficulties arising in extending ubiquity to the forward-reverse setting, makes use of tools from the calculus of variations such as Danskin's theorem and Ekeland's variational principle.
Source: arXiv (Cornell University)
Author: Watanabe, Mirei
Institution: The University of Tokyo
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7166143038