2017/10/30 by Jean-Pierre Magnot · 6 citations
Computer Science · Mathematics · Physics and Astronomy · #Bridge (graph theory) #Computability, Logic, AI Algorithms #Discretization #Gauge (firearms) #Gauge theory #Holonomy #Link (geometry) #Pairwise comparison #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #cs.IT #math-ph #math.DG #math.IT #math.LO #math.MP #msc:03F25 #msc:70S15 #msc:81T13
paper · pdf · doi:10.1155/2018/7496762
published in Advances in Mathematical Physics 2018, 1-5 (Hindawi Publishing Corporation)
arxiv created 2017/10/30 · openalex created_date 2017/11/10 · openalex publication_date 2018/01/01 · arxiv updated 2018/07/16 · openalex updated_date 2026/08/05
We describe a mathematical link between aspects of information theory, called pairwise comparisons, and discretized gauge theories. The link is made by the notion of holonomy along the edges of a simplex. This correspondence leads to open questions in both fields.