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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Holik, F., Massri, C., Plastino, A.
Formato: JOUR
Materias:
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_02198878_v13_n3_p_Holik
Aporte de:
Descripción
Sumario: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.