General Theory Of Information Transfer And Combinatorics

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General Theory of Information Transfer and Combinatorics

Rudolf Ahlswede,Lars Bäumer,Ning Cai,Harout Aydinian,Vladimir Blinovsky,Christian Deppe,Haik Mashurian
General Theory of Information Transfer and Combinatorics Book PDF

Author : Rudolf Ahlswede,Lars Bäumer,Ning Cai,Harout Aydinian,Vladimir Blinovsky,Christian Deppe,Haik Mashurian
Publisher : Springer
Page : 1128 pages
File Size : 50,6 Mb
Release : 2006-12-08
Category : Computers
ISBN : 9783540462453

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General Theory of Information Transfer and Combinatorics by Rudolf Ahlswede,Lars Bäumer,Ning Cai,Harout Aydinian,Vladimir Blinovsky,Christian Deppe,Haik Mashurian Pdf

This book collects 63 revised, full-papers contributed to a research project on the "General Theory of Information Transfer and Combinatorics" that was hosted from 2001-2004 at the Center for Interdisciplinary Research (ZIF) of Bielefeld University and several incorporated meetings. Topics covered include probabilistic models, cryptology, pseudo random sequences, quantum models, pattern discovery, language evolution, and network coding.

General Theory of Information Transfer and Combinatorics

Rudolf Ahlswede
General Theory of Information Transfer and Combinatorics Book PDF

Author : Rudolf Ahlswede
Publisher : Springer Science & Business Media
Page : 1138 pages
File Size : 53,6 Mb
Release : 2006-12-14
Category : Computers
ISBN : 9783540462446

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General Theory of Information Transfer and Combinatorics by Rudolf Ahlswede Pdf

This book collects 63 revised, full-papers contributed to a research project on the "General Theory of Information Transfer and Combinatorics" that was hosted from 2001-2004 at the Center for Interdisciplinary Research (ZIF) of Bielefeld University and several incorporated meetings. Topics covered include probabilistic models, cryptology, pseudo random sequences, quantum models, pattern discovery, language evolution, and network coding.

Information Theory, Combinatorics, and Search Theory

Harout Aydinian,Ferdinando Cicalese,Christian Deppe
Information Theory Combinatorics and Search Theory Book PDF

Author : Harout Aydinian,Ferdinando Cicalese,Christian Deppe
Publisher : Springer
Page : 773 pages
File Size : 44,8 Mb
Release : 2013-03-09
Category : Computers
ISBN : 9783642368998

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Information Theory, Combinatorics, and Search Theory by Harout Aydinian,Ferdinando Cicalese,Christian Deppe Pdf

This volume is dedicated to the memory of Rudolf Ahlswede, who passed away in December 2010. The Festschrift contains 36 thoroughly refereed research papers from a memorial symposium, which took place in July 2011. The four macro-topics of this workshop: theory of games and strategic planning; combinatorial group testing and database mining; computational biology and string matching; information coding and spreading and patrolling on networks; provide a comprehensive picture of the vision Rudolf Ahlswede put forward of a broad and systematic theory of search.

Lectures on Advances in Combinatorics

Rudolf Ahlswede,Vladimir Blinovsky
Lectures on Advances in Combinatorics Book PDF

Author : Rudolf Ahlswede,Vladimir Blinovsky
Publisher : Springer Science & Business Media
Page : 324 pages
File Size : 53,7 Mb
Release : 2008-05-17
Category : Mathematics
ISBN : 9783540786023

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Lectures on Advances in Combinatorics by Rudolf Ahlswede,Vladimir Blinovsky Pdf

The lectures concentrate on highlights in Combinatorial (ChaptersII and III) and Number Theoretical (ChapterIV) Extremal Theory, in particular on the solution of famous problems which were open for many decades. However, the organization of the lectures in six chapters does neither follow the historic developments nor the connections between ideas in several cases. With the speci?ed auxiliary results in ChapterI on Probability Theory, Graph Theory, etc., all chapters can be read and taught independently of one another. In addition to the 16 lectures organized in 6 chapters of the main part of the book, there is supplementary material for most of them in the Appendix. In parti- lar, there are applications and further exercises, research problems, conjectures, and even research programs. The following books and reports [B97], [ACDKPSWZ00], [A01], and [ABCABDM06], mostly of the authors, are frequently cited in this book, especially in the Appendix, and we therefore mark them by short labels as [B], [N], [E], and [G]. We emphasize that there are also “Exercises” in [B], a “Problem Section” with contributions by several authors on pages 1063–1105 of [G], which are often of a combinatorial nature, and “Problems and Conjectures” on pages 172–173 of [E].

Combinatorial Methods and Models

Rudolf Ahlswede
Combinatorial Methods and Models Book PDF

Author : Rudolf Ahlswede
Publisher : Springer
Page : 385 pages
File Size : 40,7 Mb
Release : 2017-06-30
Category : Mathematics
ISBN : 9783319531397

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Combinatorial Methods and Models by Rudolf Ahlswede Pdf

The fourth volume of Rudolf Ahlswede’s lectures on Information Theory is focused on Combinatorics. Ahlswede was originally motivated to study combinatorial aspects of Information Theory via zero-error codes: in this case the structure of the coding problems usually drastically changes from probabilistic to combinatorial. The best example is Shannon’s zero error capacity, where independent sets in graphs have to be examined. The extension to multiple access channels leads to the Zarankiewicz problem. A code can be regarded combinatorially as a hypergraph; and many coding theorems can be obtained by appropriate colourings or coverings of the underlying hypergraphs. Several such colouring and covering techniques and their applications are introduced in this book. Furthermore, codes produced by permutations and one of Ahlswede’s favourite research fields -- extremal problems in Combinatorics -- are presented. Whereas the first part of the book concentrates on combinatorial methods in order to analyse classical codes as prefix codes or codes in the Hamming metric, the second is devoted to combinatorial models in Information Theory. Here the code concept already relies on a rather combinatorial structure, as in several concrete models of multiple access channels or more refined distortions. An analytical tool coming into play, especially during the analysis of perfect codes, is the use of orthogonal polynomials. Classical information processing concerns the main tasks of gaining knowledge and the storage, transmission and hiding of data. The first task is the prime goal of Statistics. For transmission and hiding data, Shannon developed an impressive mathematical theory called Information Theory, which he based on probabilistic models. The theory largely involves the concept of codes with small error probabilities in spite of noise in the transmission, which is modeled by channels. The lectures presented in this work 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.

Aspects of Network and Information Security

Evangelos Kranakis,Evgueni Haroutunian,Evgueni A. Haroutunian,Elisa Shahbazian
Aspects of Network and Information Security Book PDF

Author : Evangelos Kranakis,Evgueni Haroutunian,Evgueni A. Haroutunian,Elisa Shahbazian
Publisher : IOS Press
Page : 368 pages
File Size : 53,7 Mb
Release : 2008
Category : Computers
ISBN : 9781586038564

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Aspects of Network and Information Security by Evangelos Kranakis,Evgueni Haroutunian,Evgueni A. Haroutunian,Elisa Shahbazian Pdf

Understanding network vulnerabilities in order to protect networks from external and internal threats is vital to the world's economy and should be given the highest priority. This volume discusses topics such as network security, information security and coding.

Storing and Transmitting Data

Rudolf Ahlswede
Storing and Transmitting Data Book PDF

Author : Rudolf Ahlswede
Publisher : Springer Science & Business Media
Page : 302 pages
File Size : 54,9 Mb
Release : 2014-05-08
Category : Mathematics
ISBN : 9783319054797

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Storing and Transmitting Data by Rudolf Ahlswede Pdf

The volume “Storing and Transmitting Data” is based on Rudolf Ahlswede's introductory course on "Information Theory I" and presents an introduction to Shannon Theory. Readers, familiar or unfamiliar with the technical intricacies of Information Theory, will benefit considerably from working through the book; especially Chapter VI with its lively comments and uncensored insider views from the world of science and research offers informative and revealing insights. This is the first of several volumes that will serve as a collected research documentation of Rudolf Ahlswede’s lectures on information theory. Each volume includes comments from an invited well-known expert. Holger Boche contributed his insights in the supplement of the present volume. Classical information processing concerns the main tasks of gaining knowledge, storage, transmitting and hiding data. The first task is the prime goal of Statistics. For the two next, Shannon presented an impressive mathematical theory called Information Theory, which he based on probabilistic models. The theory largely involves the concept of codes with small error probabilities in spite of noise in the transmission, which is modeled by channels. The lectures presented in this work are suitable for graduate students in Mathematics, and also in Theoretical Computer Science, Physics, and Electrical Engineering with 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 the basis of entire research programs.

Entropy, Search, Complexity

Imre Csiszár,Gyula O.H. Katona,Gabor Tardos
Entropy Search Complexity Book PDF

Author : Imre Csiszár,Gyula O.H. Katona,Gabor Tardos
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 46,9 Mb
Release : 2007-04-05
Category : Mathematics
ISBN : 9783540327776

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Entropy, Search, Complexity by Imre Csiszár,Gyula O.H. Katona,Gabor Tardos Pdf

This book collects survey papers in the fields of entropy, search and complexity, summarizing the latest developments in their respective areas. More than half of the papers belong to search theory which lies on the borderline of mathematics and computer science, information theory and combinatorics, respectively. The book will be useful to experienced researchers as well as young scientists and students both in mathematics and computer science.

Identification and Other Probabilistic Models

Rudolf Ahlswede
Identification and Other Probabilistic Models Book PDF

Author : Rudolf Ahlswede
Publisher : Springer Nature
Page : 720 pages
File Size : 40,6 Mb
Release : 2021-06-22
Category : Mathematics
ISBN : 9783030650728

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Identification and Other Probabilistic Models by Rudolf Ahlswede Pdf

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.

Transmitting and Gaining Data

Rudolf Ahlswede
Transmitting and Gaining Data Book PDF

Author : Rudolf Ahlswede
Publisher : Springer
Page : 471 pages
File Size : 54,7 Mb
Release : 2014-11-15
Category : Mathematics
ISBN : 9783319125237

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Transmitting and Gaining Data by Rudolf Ahlswede Pdf

The calculation of channel capacities was one of Rudolf Ahlswede's specialties and is the main topic of this second volume of his Lectures on Information Theory. Here we find a detailed account of some very classical material from the early days of Information Theory, including developments from the USA, Russia, Hungary and (which Ahlswede was probably in a unique position to describe) the German school centered around his supervisor Konrad Jacobs. These lectures made an approach to a rigorous justification of the foundations of Information Theory. This is the second of several volumes documenting Rudolf Ahlswede's lectures on Information Theory. Each volume includes comments from an invited well-known expert. In the supplement to the present volume, Gerhard Kramer contributes his insights. Classical information processing concerns the main tasks of gaining knowledge and the storage, transmission and hiding of data. The first task is the prime goal of Statistics. For transmission and hiding data, Shannon developed an impressive mathematical theory called Information Theory, which he based on probabilistic models. The theory largely involves the concept of codes with small error probabilities in spite of noise in the transmission, which is modeled by channels. The lectures presented in this work 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.

Reliability Criteria in Information Theory and in Statistical Hypothesis Testing

Evgueni A. Haroutunian,Mariam E. Haroutunian,Ashot N. Harutyunyan
Reliability Criteria in Information Theory and in Statistical Hypothesis Testing Book PDF

Author : Evgueni A. Haroutunian,Mariam E. Haroutunian,Ashot N. Harutyunyan
Publisher : Now Publishers Inc
Page : 183 pages
File Size : 55,9 Mb
Release : 2008
Category : Computers
ISBN : 9781601980465

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Reliability Criteria in Information Theory and in Statistical Hypothesis Testing by Evgueni A. Haroutunian,Mariam E. Haroutunian,Ashot N. Harutyunyan Pdf

This monograph briefly formulates fundamental notions and results of Shannon theory on reliable transmission via coding and gives a survey of results obtained in last two-three decades by the authors.

Algorithmics of Large and Complex Networks

Jürgen Lerner,Dorothea Wagner,Katharina Zweig
Algorithmics of Large and Complex Networks Book PDF

Author : Jürgen Lerner,Dorothea Wagner,Katharina Zweig
Publisher : Springer Science & Business Media
Page : 411 pages
File Size : 55,8 Mb
Release : 2009-07-02
Category : Computers
ISBN : 9783642020933

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Algorithmics of Large and Complex Networks by Jürgen Lerner,Dorothea Wagner,Katharina Zweig Pdf

A state-of-the-art survey that reports on the progress made in selected areas of this important and growing field, aiding the analysis of existing networks and the design of new and more efficient algorithms for solving various problems on these networks.

Probabilistic Methods and Distributed Information

Rudolf Ahlswede
Probabilistic Methods and Distributed Information Book PDF

Author : Rudolf Ahlswede
Publisher : Springer
Page : 581 pages
File Size : 45,6 Mb
Release : 2018-12-31
Category : Mathematics
ISBN : 9783030003128

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Probabilistic Methods and Distributed Information by Rudolf Ahlswede Pdf

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.

Applied Algebra and Number Theory

Gerhard Larcher,Friedrich Pillichshammer,Arne Winterhof
Applied Algebra and Number Theory Book PDF

Author : Gerhard Larcher,Friedrich Pillichshammer,Arne Winterhof
Publisher : Cambridge University Press
Page : 355 pages
File Size : 55,9 Mb
Release : 2014-12-11
Category : Mathematics
ISBN : 9781107074002

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Applied Algebra and Number Theory by Gerhard Larcher,Friedrich Pillichshammer,Arne Winterhof Pdf

This book contains survey articles on modern topics related to the work of Harald Niederreiter, written by close colleagues and leading experts.

Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques

Leslie Ann Goldberg,Klaus Jansen,R. Ravi,José D.P. Rolim
Approximation Randomization and Combinatorial Optimization Algorithms and Techniques Book PDF

Author : Leslie Ann Goldberg,Klaus Jansen,R. Ravi,José D.P. Rolim
Publisher : Springer
Page : 702 pages
File Size : 55,7 Mb
Release : 2011-08-05
Category : Computers
ISBN : 9783642229350

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Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques by Leslie Ann Goldberg,Klaus Jansen,R. Ravi,José D.P. Rolim Pdf

This book constitutes the joint refereed proceedings of the 14th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2011, and the 15th International Workshop on Randomization and Computation, RANDOM 2011, held in Princeton, New Jersey, USA, in August 2011. The volume presents 29 revised full papers of the APPROX 2011 workshop, selected from 66 submissions, and 29 revised full papers of the RANDOM 2011 workshop, selected from 64 submissions. They were carefully reviewed and selected for inclusion in the book. In addition two abstracts of invited talks are included. APPROX focuses on algorithmic and complexity issues surrounding the development of efficient approximate solutions to computationally difficult problems. RANDOM is concerned with applications of randomness to computational and combinatorial problems.