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Название: General Theory of Information Transfer and Combinatorics
Авторы: Ahlswede R., Baumer L., Cai N.
The Center for Interdisciplinary Research (ZiF) of the University of Bielefeld
hosted a research group under the title “General Theory of Information Transfer
and Combinatorics,” abbreviated as GTIT-C, from October 1, 2001 to September
30, 2004. As head of the research group the editor shaped the group’s scientific
directions and its personal composition.
He followed ideas, problems and results which had occupied him during the
past decade and which seem to extend the frontiers of information theory in
several directions. The main contributions concern information transfer by channels.
There are also new questions and some answers in new models of source
coding. While many of the investigations are in an explorative state, there are
also hard cores of mathematical theories. In particular, a unified theory of information
transfer was presented, which naturally incorporates Shannon’s Theory
of Information Transmission and the Theory of Identification in the presence of
noise as extremal cases. It provides several novel coding theorems. On the source
coding side the concept of identification entropy is introduced. Finally, beyond
information theory new concepts of solutions for probabilistic algorithms arose.