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Foundations in Signal Processing, Communications and Networking
cover

Identification and Other Probabilistic Models

Rudolf Ahlswede’s Lectures on Information Theory 6

Autoren: Ahlswede, Rudolf

Herausgeber: Ahlswede, A., Althöfer, I., Deppe, C., Tamm, U. (Eds.)

  • Contains Rudolf Ahlswede's Lecture on Identification Theory
  • Surveys recent results in Identification Theory
  • Gunter Dueck's afterword details his collaboration with Rudolf Ahlswede
Weitere Vorteile

Dieses Buch kaufen

eBook 117,69 €
Preis für Deutschland (Brutto)
  • Die eBook-Version des Titels ist in Kürze verfügbar
  • Erscheinungstermin: 11. August 2021
  • ISBN 978-3-030-65072-8
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate:
  • eBooks sind auf allen Endgeräten nutzbar
Hardcover 149,79 €
Preis für Deutschland (Brutto)
Über dieses Buch

The sixth volume of Rudolf Ahlswede's lectures on Information Theory is focused on Identification Theory. In contrast to Shannon's classical coding scheme for the transmission of a message over a noisy channel, in the theory of identification the decoder is not really interested in what the received message is, but only in deciding whether a message, which is of special interest to him, has been sent or not. There are also algorithmic problems where it is not necessary to calculate the solution, but only to check whether a certain given answer is correct. Depending on the problem, this answer might be much easier to give than finding the solution. ``Easier'' in this context means using fewer resources like channel usage, computing time or storage space.

Ahlswede and Dueck's main result was that, in contrast to transmission problems, where the possible code sizes grow exponentially fast with block length, the size of identification codes will grow doubly exponentially fast. The theory of identification has now developed into a sophisticated mathematical discipline with many branches and facets, forming part of the Post Shannon theory in which Ahlswede was one of the leading experts. New discoveries in this theory are motivated both by concrete engineering problems and by explorations of the inherent properties of the mathematical structures.

Rudolf Ahlswede wrote:

It seems that the whole body of present day Information Theory will undergo serious revisions and some dramatic expansions. In this book we will open several directions of future research and start the mathematical description of communication models in great generality. For some specific problems we provide solutions or ideas for their solutions.

The lectures presented in this work, which consists of 10 volumes, are suitable for graduate students in Mathematics, and also for those working in Theoretical Computer Science, Physics, and Electrical Engineering with a background in basic Mathematics. The lectures can be used as the basis for courses or to supplement courses in many ways. Ph.D. students will also find research problems, often with conjectures, that offer potential subjects for a thesis. More advanced researchers may find questions which form the basis of entire research programs.

The book also contains an afterword by Gunter Dueck.


Über die Autor*innen

Rudolf Ahlswede (1938 - 2010) studied Mathematics in Göttingen, and held postdoc positions in Erlangen, Germany and Ohio, USA. From 1977 on he was full Professor of Applied Mathematics at the University of Bielefeld. His work represents an essential contribution to information theory and networking. He developed and contributed to a number of central areas, including network coding, and theory of identification, while also advancing the fields of combinatorics and number theory. These efforts culminated in his research program “Development of a General Theory of Information Transfer”. In recognition of his work, Rudolf Ahlswede received several awards for “Best Paper”, as well as the distinguished “Shannon Award”.

Dieses Buch kaufen

eBook 117,69 €
Preis für Deutschland (Brutto)
  • Die eBook-Version des Titels ist in Kürze verfügbar
  • Erscheinungstermin: 11. August 2021
  • ISBN 978-3-030-65072-8
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate:
  • eBooks sind auf allen Endgeräten nutzbar
Hardcover 149,79 €
Preis für Deutschland (Brutto)
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Bibliografische Information

Bibliographic Information
Buchtitel
Identification and Other Probabilistic Models
Buchuntertitel
Rudolf Ahlswede’s Lectures on Information Theory 6
Autoren
Herausgeber
  • Alexander Ahlswede
  • Ingo Althöfer
  • Christian Deppe
  • Ulrich Tamm
Titel der Buchreihe
Foundations in Signal Processing, Communications and Networking
Buchreihen Band
16
Copyright
2021
Verlag
Springer International Publishing
Copyright Inhaber
Springer Nature Switzerland AG
eBook ISBN
978-3-030-65072-8
DOI
10.1007/978-3-030-65072-8
Hardcover ISBN
978-3-030-65070-4
Buchreihen ISSN
1863-8538
Auflage
1
Seitenzahl
XXII, 724
Anzahl der Bilder
36 schwarz-weiß Abbildungen
Themen