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The Center for Interdisciplinary Research (ZiF) of the University of Bielefeld hosteda researchgroupunder the title GeneralTheoryof InformationTransfer andCombinatorics, abbreviatedasGTIT-C,fromOctober1,2001toSeptember 30, 2004. As head of the research group the editor shaped the group's scienti?c directionsand its personalcomposition. 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 severaldirections.The maincontributions concerninformationtransferby ch- nels. 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 uni?ed theory of inf- mation transfer was presented, which naturally incorporates Shannon's Theory of Information Transmission and the Theory of Identi?cation in the presence of noiseas extremalcases.It providesseveralnovelcoding theorems.Onthe source coding side the concept of identi?cation entropy is introduced. Finally, beyond information theory new concepts of solutions for probabilistic algorithms arose. In addition to this book there will be a specialissue ofDiscrete Applied Ma- ematics General Theory of Information Transfer and Combinatorics in three parts, which covers primarily work with a stronger emphasis on the second c- ponent, combinatorics. It begins with an updated version of General Theory of Information Transfer in order to make the theory known to a broader - dience and continues with other new directions such as bioinformatics, search, sorting and ordering, cryptology and number theory, and networks with many new suggestions for connections.
Complex analysis --- Discrete mathematics --- Computer science --- Computer architecture. Operating systems --- Information systems --- Computer. Automation --- discrete wiskunde --- cryptologie --- complexe analyse (wiskunde) --- informatica --- programmatielogica --- algoritmen --- computernetwerken --- numerieke analyse
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