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Synopsis
Like geometry, probability can not be reduced to just one model to describe all physical and biological phenomena. Each model has a restricted range of applications. Quantum physics demonstrated that the use of conventional probability models induces some paradoxes. Such paradoxes can be resolved by using non-Kolmogorov probability models, developed on the basis of purely classical interpretations of probability: frequency and ensemble. Frequency models describe violations of the law of large numbers. Ensemble models are models with infinitely small probabilities.
This is the first fundamental book devoted to non-Kolmogorov probability models. It provides the first mathematical theory of negative probabilities - with numerous applications to quantum physics, information theory, complexity, biology and psychology. Natural models with negative (frequency and ensemble) probabilities are developed in the framework of so called p-adic analysis. The book also contains an extremely interesting model of cognitive information reality with flows of information probabilities, describing the process of thinking, social and psychological phenomena.
This book will be of value and interest to specialists in probability theory, statistics, functional analysis, quantum physics and (partly) specialists in cognitive sciences and psychology.
"synopsis" may belong to another edition of this title.
About the Author
Andrei Khrennikov, Vaxjo University, Sweden.
Review
"This book will be a useful source for graduate students and researchers."In: Enseignement Mathematique 2/2009
"This book will be a useful source for graduate students and researchers."
In: Enseignement Mathematique 2/2009
"About this title" may belong to another edition of this title.
- PublisherCreateSpace Independent Publishing Platform
- Publication date2003
- ISBN 10 9067643106
- ISBN 13 9789067643108
- BindingHardcover
- LanguageEnglish
- Number of pages228
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Like geometry, probability can not be reduced to just one model to describe all physical and biological phenomena. Each model has a restricted range of applications. Quantum physics demonstrated that the use of conventional probability models induces some paradoxes. Such paradoxes can be resolved by using non-Kolmogorov probability models, developed on the basis of purely classical interpretations of probability: frequency and ensemble. Frequency models describe violations of the law of large numbers. Ensemble models are models with infinitely small probabilities. This is the first fundamental book devoted to non-Kolmogorov probability models. It provides the first mathematical theory of negative probabilities - with numerous applications to quantum physics, information theory, complexity, biology and psychology. Natural models with negative (frequency and ensemble) probabilities are developed in the framework of so called p-adic analysis. The book also contains an extremely interesting model of cognitive information reality with flows of information probabilities, describing the process of thinking, social and psychological phenomena. This book will be of value and interest to specialists in probability theory, statistics, functional analysis, quantum physics and (partly) specialists in cognitive sciences and psychology. 232 pp. Englisch. Seller Inventory # 9789067643108
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This work exmaines non-Kolmogorov probability models. It provides mathematical theory of negative probabilities with applications to quantum physics, information theory, complexity, biology and psychology. Natural models with negative probabilities are deve. Seller Inventory # 449864346
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