Hyperdeterminantal Total Positivity

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• ISSN: 1815-0659
• Main Authors: Johnson, Kenneth W., Richards, Donald St. P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/213521
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Hyperdeterminantal Total Positivity. Kenneth W. Johnson and Donald St. P. Richards. SIGMA 21 (2025), 055, 18 pages

For a given positive integer , the concept of hyperdeterminantal total positivity is defined for a kernel : ℝ²ᵐ → ℝ, thereby generalizing the classical concept of total positivity. Extending the fundamental example, (, ) = exp(), , ∈ ℝ, of a classical totally positive kernel, the hyperdeterminantal...