Applications of QIT

Applications of Quiver Invariant Theory (QIT) 

Papers on applications of QIT to Brascamp-Lieb constants, Computational Complexity, Robust Subspace Recovery, and Frame Theory.

1. Hive-type polytopes for quiver multiplicities and the membership problem for quiver moment cones (with Brett Collins and Dan Kline), Accepted in Algebraic Combinatorics, 2024. [pdf | arxiv]

2. The capacity of quiver representations and the Anantharam-Jog-Nair inequality (with Harm Derksen), 2023. [pdf | arxiv]

3. Edmonds' problem and the membership problem for orbit semigroups of quiver representations (with Dan Kline), Journal of Pure and Applied Algebra (JPAA), Volume 227, Issue 3, March 2023, 107234. [pdf | doi | arxiv]

4. A quiver invariant theoretic approach to radial isotropy and the Paulsen problem for matrix frames (with Jasim Ismaeel), SIAM Journal on Applied Algebra and Geometry (SIAGA), Vol. 6, Iss. 4, pp. 536-562, 2022. [pdf | arxiv]

5. The capacity of quiver representations and Brascamp-Lieb constants (with Harm Derksen), International Mathematics Research Notices, 15 September 2021. DOI 10.1093/imrn/rnab064. [pdf | doi | arxiv | Erratum (a few minor publisher notation errors)]

6. Simultaneous robust subspace recovery and semi-stability of quiver representations (with Dan Kline), Journal of Algebra, Volume 577, 1 July 2021, Pages 210-236. [pdf | doi | arxiv]