Published July 29, 2021
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Generalized probabilities in statistical theories.

  • 1. National University of La Plata
  • 2. Departamento de Matemática, Universidad CAECE, Buenos Aires 1084, Argentina
  • 3. Instituto de Física (IFLP-CCT-CONICET), Universidad Nacional de La Plata, C.C. 727, La Plata 1900, Argentina
  • 4. International Center for Theoretical Physics, UNESCO, 34151 Trieste, Italy

Description

In this review article we present different formal frameworks for the description of generalized probabilities in statistical theories. We discuss the particular cases of probabilities appearing in classical and quantum mechanics, possible generalizations of the approaches of A. N. Kolmogorov and R. T. Cox to non-commutative models, and the approach to generalized probabilities based on convex sets.
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