Like geometry, probability can not be reduced to just one model todescribe all physical and biological phenomena. Each model has arestricted range of applications. Quantum physics demonstrated thatthe use of conventional probability models induces some paradoxes.Such paradoxes can be resolved by using non-Kolmogorov probabilitymodels, developed on the basis of purely classical interpretations ofprobability: frequency and ensemble. Frequency models describeviolations of the law of large numbers. Ensemble models are modelswith infinitely small probabilities.
This is the first fundamental book devoted to non-Kolmogorovprobability models. It provides the first mathematical theory ofnegative probabilities - with numerous applications to quantumphysics, information theory, complexity, biology and psychology.Natural models with negative (frequency and ensemble) probabilitiesare developed in the framework of so called p-adic analysis. The bookalso contains an extremely interesting model of cognitive informationreality with flows of information probabilities, describing theprocess of thinking, social and psychological phenomena.
This book will be of value and interest to specialists in probabilitytheory, statistics, functional analysis, quantum physics and (partly)specialists in cognitive sciences and psychology.
1999; iv+228 pages ISBN 90-6764-310-6 Price (all prices are subject to change without notice): EUR 152/US$ 217
