Geometric probability theory and Jaynes's methodology
We provide a generalization of the approach to geometric probability advanced by the great mathematician Gian Carlo Rota, in order to apply it to generalized probabilistic physical theories. In particular, we use this generalization to provide an improvement of the Jaynes' MaxEnt method. The im...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_02198878_v13_n3_p_Holik |
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todo:paper_02198878_v13_n3_p_Holik2023-10-03T15:11:10Z Geometric probability theory and Jaynes's methodology Holik, F. Massri, C. Plastino, A. generalized probabilistic theories geometric probability Maximum entropy principle symmetries in quantum mechanics We provide a generalization of the approach to geometric probability advanced by the great mathematician Gian Carlo Rota, in order to apply it to generalized probabilistic physical theories. In particular, we use this generalization to provide an improvement of the Jaynes' MaxEnt method. The improvement consists in providing a framework for the introduction of symmetry constraints. This allows us to include group theory within MaxEnt. Some examples are provided. © 2016 World Scientific Publishing Company. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02198878_v13_n3_p_Holik |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
generalized probabilistic theories geometric probability Maximum entropy principle symmetries in quantum mechanics |
| spellingShingle |
generalized probabilistic theories geometric probability Maximum entropy principle symmetries in quantum mechanics Holik, F. Massri, C. Plastino, A. Geometric probability theory and Jaynes's methodology |
| topic_facet |
generalized probabilistic theories geometric probability Maximum entropy principle symmetries in quantum mechanics |
| description |
We provide a generalization of the approach to geometric probability advanced by the great mathematician Gian Carlo Rota, in order to apply it to generalized probabilistic physical theories. In particular, we use this generalization to provide an improvement of the Jaynes' MaxEnt method. The improvement consists in providing a framework for the introduction of symmetry constraints. This allows us to include group theory within MaxEnt. Some examples are provided. © 2016 World Scientific Publishing Company. |
| format |
JOUR |
| author |
Holik, F. Massri, C. Plastino, A. |
| author_facet |
Holik, F. Massri, C. Plastino, A. |
| author_sort |
Holik, F. |
| title |
Geometric probability theory and Jaynes's methodology |
| title_short |
Geometric probability theory and Jaynes's methodology |
| title_full |
Geometric probability theory and Jaynes's methodology |
| title_fullStr |
Geometric probability theory and Jaynes's methodology |
| title_full_unstemmed |
Geometric probability theory and Jaynes's methodology |
| title_sort |
geometric probability theory and jaynes's methodology |
| url |
http://hdl.handle.net/20.500.12110/paper_02198878_v13_n3_p_Holik |
| work_keys_str_mv |
AT holikf geometricprobabilitytheoryandjaynessmethodology AT massric geometricprobabilitytheoryandjaynessmethodology AT plastinoa geometricprobabilitytheoryandjaynessmethodology |
| _version_ |
1807320260129325056 |