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

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...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2025
Main Authors: Kondo, Hiroki, Nakajima, Sachiko, Sasada, Makiko
Format: Article
Language:English
Published: Інститут математики НАН України 2025
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/214200
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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

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Digital Library of Periodicals of National Academy of Sciences of Ukraine