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Probabilistic Methods and Distributed Information

Rudolf Ahlswede’s Lectures on Information Theory 5

  • Rudolf Ahlswede
  • Alexander Ahlswede
  • Ingo Althöfer
  • Christian Deppe
  • Ulrich Tamm

Part of the Foundations in Signal Processing, Communications and Networking book series (SIGNAL, volume 15)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Arbitrarily Varying Channels

    1. Front Matter
      Pages 1-1
    2. Rudolf Ahlswede
      Pages 3-15
    3. Rudolf Ahlswede
      Pages 23-37
    4. Rudolf Ahlswede
      Pages 47-91
    5. Rudolf Ahlswede
      Pages 93-130
    6. Rudolf Ahlswede
      Pages 131-146
    7. Rudolf Ahlswede
      Pages 147-174
    8. Rudolf Ahlswede
      Pages 175-199
  3. Continuous Data Compression

    1. Front Matter
      Pages 201-201
  4. Distributed Information

    1. Front Matter
      Pages 237-239
    2. Rudolf Ahlswede
      Pages 259-272
    3. Rudolf Ahlswede
      Pages 273-300
    4. Rudolf Ahlswede
      Pages 301-332
    5. Rudolf Ahlswede
      Pages 333-357
    6. Rudolf Ahlswede
      Pages 359-383
    7. Rudolf Ahlswede
      Pages 385-402
    8. Rudolf Ahlswede
      Pages 403-412
    9. Rudolf Ahlswede
      Pages 435-506
  5. Statistical Inference Under Communication Constraints

    1. Front Matter
      Pages 507-507
    2. Rudolf Ahlswede
      Pages 533-563
  6. Back Matter
    Pages 565-581

About this book

Introduction

The fifth volume of Rudolf Ahlswede’s lectures on Information Theory focuses on several problems that were at the heart of a lot of his research. One of the highlights of the entire lecture note series is surely Part I of this volume on arbitrarily varying channels (AVC), a subject in which Ahlswede was probably the world's leading expert. Appended to Part I is a survey by Holger Boche and Ahmed Mansour on recent results concerning AVC and arbitrarily varying wiretap channels (AVWC). After a short Part II on continuous data compression, Part III, the longest part of the book, is devoted to distributed information. This Part includes discussions on a variety of related topics; among them let us emphasize two which are famously associated with Ahlswede: "multiple descriptions", on which he produced some of the best research worldwide, and "network coding", which had Ahlswede among the authors of its pioneering paper. The final Part IV on "Statistical Inference under Communication constraints" is mainly based on Ahlswede’s joint paper with Imre Csiszar, which received the Best Paper Award of the IEEE Information Theory Society.

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 either as the basis for courses or to supplement them 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.



Keywords

94Axx, 94A15, 94A34, 68M10 information theory multiple access channel data compression network coding statistical interference multiple Descriptions distributed information

Authors and affiliations

  • Rudolf Ahlswede
    • 1
  1. 1.BielefeldGermany

Editors and affiliations

  • Alexander Ahlswede
    • 1
  • Ingo Althöfer
    • 2
  • Christian Deppe
    • 3
  • Ulrich Tamm
    • 4
  1. 1.BielefeldGermany
  2. 2.Faculty of Mathematics and Computer SciencesFriedrich-Schiller-University JenaJenaGermany
  3. 3.Institute for Communications EngineeringTechnical University of MunichMünchenGermany
  4. 4.Applied Mathematics and Statistics, Quantitative MethodsBielefeld University of Applied SciencesBielefeldGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-00312-8
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-030-00310-4
  • Online ISBN 978-3-030-00312-8
  • Series Print ISSN 1863-8538
  • Series Online ISSN 1863-8546
  • Buy this book on publisher's site
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