p-Adic Probability Theory and Its Generalizations.

This is a review about p-adic valued probabilities, applications to quantum physics and cognitive sciences. We also do the next step in development of non-Kolmogorovian models and consider an analogue of probability theory for probabilities taking values in topological groups. The main attention is paid to statistical interpretation of p-adic probabilities as well as more general probabilities with values in topological groups. © 2006 American Institute of Physics [ABSTRACT FROM AUTHOR]