Ultra-Discretization of Yang-Baxter Maps, Probability Distributions and Independence Preserving Property

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2025
• Hauptverfasser: Kondo, Hiroki, Nakajima, Sachiko, Sasada, Makiko
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2025
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/214200
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Ultra-Discretization of Yang-Baxter Maps, Probability Distributions and Independence Preserving Property. Hiroki Kondo, Sachiko Nakajima and Makiko Sasada. SIGMA 21 (2025), 084, 16 pages

We study the relationship between Yang-Baxter maps and the independence preserving (IP) property, motivated by their role in integrable systems, from the perspective of ultra-discretization. Yang-Baxter maps satisfy the set-theoretic Yang-Baxter equation, while the IP property ensures independence o...