2 papers
math.FA2026
Operator capacity, the Brascamp--Lieb inequality and geometric programming
Neal Bez, Anthony Gauvan, Hiroshi Tsuji
The capacity of completely positive operators and the Brascamp--Lieb constant can both be interpreted in terms of unconstrained geometric programming up to an additional minimisati…
math.CA2024
A note on ubiquity of geometric Brascamp-Lieb data
Neal Bez, Anthony Gauvan, Hiroshi Tsuji
Relying substantially on work of Garg, Gurvits, Oliveira and Wigderson, it is shown that geometric Brascamp--Lieb data are, in a certain sense, ubiquitous. This addresses a questio…