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.
Author(s): Landman, Bruce, Bruce Landman
Series: [De Gruyter Proceedings in Mathematics]
Edition: 1
Publisher: Walter de Gruyter
Year: 2009
Language: English
Pages: 208
Frontmatter
......Page 2
Preface
......Page 6
Table of contents......Page 8
The Finite Heine Transformation......Page 10
Finding Almost Squares III......Page 16
Sums and Differences of the Coordinates of Points on Modular Hyperbolas......Page 26
Self Generating Sets and Numeration Systems......Page 49
Small Sets Satisfying the Central Sets Theorem......Page 65
Column-to-Row Operations on Partitions: The Envelopes......Page 72
On the Euler Product of Some Zeta Functions......Page 84
On the Range of the Iterated Euler Function......Page 107
Frobenius Numbers of Generalized Fibonacci Semigroups......Page 123
Combinatorics of Ramanujan–Slater Type Identities......Page 131
A Mock Theta Function for the Delta-function......Page 146
On the Density of Integral Sets with Missing Differences......Page 161
On Pseudosquares and Pseudopowers......Page 174
Maier Matrices Beyond Z......Page 188
Linear Equations Involving Iterates of σ (N)......Page 196
Heron Sequences and Their Modifications......Page 202
List of participants
......Page 208
