Interpretations of probability. 2nd revised and extended ed. (English) Zbl 1369.81014

Khrennikov, Andrei

Berlin: de Gruyter (ISBN 978-3-11-020748-4/hbk; 978-3-11-021319-5/ebook). xx, 217 p. (2009).

Publisher’s description: This is the first fundamental book devoted to non-Kolmogorov probability models. It provides a mathematical theory of negative probabilities, with numerous applications to quantum physics, information theory, complexity, biology and psychology. The book also presents an interesting model of cognitive information reality with flows of information probabilities, describing the process of thinking, social, and psychological phenomena.
The first editions have been reviewed in Zbl 0998.81508 and Zbl 1060.81003.

MSC:

81P05	General and philosophical questions in quantum theory
60-02	Research exposition (monographs, survey articles) pertaining to probability theory
81-02	Research exposition (monographs, survey articles) pertaining to quantum theory
60A05	Axioms; other general questions in probability
46N30	Applications of functional analysis in probability theory and statistics
46N50	Applications of functional analysis in quantum physics

Citations:

Zbl 1060.81003; Zbl 0998.81508