A Mathematical Bridge between Discretized Gauge Theories in Quantum Physics and Approximate Reasoning in Pairwise Comparisons
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.
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/7496762 |
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| _version_ | 1832560121579831296 |
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| author | Jean-Pierre Magnot |
| author_facet | Jean-Pierre Magnot |
| author_sort | Jean-Pierre Magnot |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-81eb117893aa46ca882a2c281b1bc195 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-81eb117893aa46ca882a2c281b1bc1952025-02-03T01:28:25ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/74967627496762A Mathematical Bridge between Discretized Gauge Theories in Quantum Physics and Approximate Reasoning in Pairwise ComparisonsJean-Pierre Magnot0LAREMA, UMR CNRS 6093, Université d’Angers, 2 bd Lavoisier, 49045 Angers Cedex 1, FranceWe 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.http://dx.doi.org/10.1155/2018/7496762 |
| spellingShingle | Jean-Pierre Magnot A Mathematical Bridge between Discretized Gauge Theories in Quantum Physics and Approximate Reasoning in Pairwise Comparisons Advances in Mathematical Physics |
| title | A Mathematical Bridge between Discretized Gauge Theories in Quantum Physics and Approximate Reasoning in Pairwise Comparisons |
| title_full | A Mathematical Bridge between Discretized Gauge Theories in Quantum Physics and Approximate Reasoning in Pairwise Comparisons |
| title_fullStr | A Mathematical Bridge between Discretized Gauge Theories in Quantum Physics and Approximate Reasoning in Pairwise Comparisons |
| title_full_unstemmed | A Mathematical Bridge between Discretized Gauge Theories in Quantum Physics and Approximate Reasoning in Pairwise Comparisons |
| title_short | A Mathematical Bridge between Discretized Gauge Theories in Quantum Physics and Approximate Reasoning in Pairwise Comparisons |
| title_sort | mathematical bridge between discretized gauge theories in quantum physics and approximate reasoning in pairwise comparisons |
| url | http://dx.doi.org/10.1155/2018/7496762 |
| work_keys_str_mv | AT jeanpierremagnot amathematicalbridgebetweendiscretizedgaugetheoriesinquantumphysicsandapproximatereasoninginpairwisecomparisons AT jeanpierremagnot mathematicalbridgebetweendiscretizedgaugetheoriesinquantumphysicsandapproximatereasoninginpairwisecomparisons |