Year: 2024
Type: article
Abstract: Let be integers. Using a fragmentation technique, we characterise ‐tuples of non‐empty families of partitions of such that it suffices that an order‐ tensor has bounded ‐rank for each for it to have bounded ‐rank. On the way, we prove power lower bounds on suitable products of diagonal tensors, providing a qualitative answer to a question of Naslund.
Source: Mathematika
DOI: 10.1112/mtk.12277
Author: Thomas Karam
Institution: University of Oxford
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: H2020 European Research Council
OpenAlex ID: W4401890802