Titlebook: Mathematics of Information; Theory and Applicati Stefan Sch?ffler Textbook 2024 The Editor(s) (if applicable) and The Author(s), under excl

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Information and ChanceIn the following, we are looking for a function . defined on the interval ., which assigns an information set . to each probability .; certain properties are required of this function ..

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The Maximum Entropy PrincipleIn Theorem?3.6, it was shown that for a non-empty finite result set?Ω, the probability measure on . with maximum entropy is given by .Now we investigate the same question under constraints..Let . and .with .then . is continuous and strictly concave on . due to .(see Theorem 2.1).

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Quantum InformationThe mathematical foundation of quantum information theory is formed by Hilbert spaces over the field . of complex numbers.

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Stefan Sch?ffler) , "Pade approximation" (A. Gonchar) and "Continued fractions" (W. B. Jones). In contributed talks multivariate and multidimensional problems, applications and implementations of each main topic were considered. To each of the five main topics a separate conference day was devoted and a separate proceedings 978-94-010-4420-2978-94-011-0970-3

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Stefan Sch?fflermple by habit formation, into dynamic oligopolies with best response dynamics. We give a local and global stability analysis of the model in discrete time. For the continuous time version we study the local stability of the dynamics, including also the case when there are information lags. In Sect.

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Stefan Sch?fflerjustment process. We then introduced some of the basic tools for the analysis of global dynamics via some examples involving duopoly or symmetric and semi-symmetric oligopolies. We introduced the important concept of basins of attraction of different equilibria and the important tool of the critical