Mathematical Analysis of Evolution, Information, and Complexity

  • ID: 2326700
  • Book
  • 502 Pages
  • John Wiley and Sons Ltd
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The present book is devoted to the mathematical analysis of evolution, information and complexity. The time evolution of systems or processes is a central question in science and covers a broad range of problems including diffusion processes, neuronal networks, quantum theory and cosmology. Analysis of information is needed in data compression, channel encoding, cryptography and often in the analysis of information processing in the computer or in the brain. Finally, the topic of analysis of complexity is important for theoretical informatics, in particular algorithms, but more generally for the investigation of complex and chaotic systems.

Edited by internationally recognized authorities in their respective areas of research, 17 interdisciplinary teams have written elementary and thus easily accessible introductions to these timely topics.

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Weyl′s Law

Wolfgang Arendt, Robin Nittka, Wolfgang Peter, Frank Steiner

Solutions of Systems of Linear Ordinary Differential equations

Werner Balser, Claudia Roescheisen, Frank Steiner, Eric Straeng

A Scalar–Tensor Theory of Gravity with a Higgs Potential

Nils Manuel Bezares–Roder, Frank Steiner

Relating Simulation and Modelling of Neural Networks

Stefano Cardanobile, Heiner Markert, Delio Mugnolo, Guenther Palm, Friedhelm Schwenker

Boolean Networks for Modelling Gene Regulation

Christian Wawra, Michael Kuehl, Hans A. Kestler

Symmetries in Quantum Graphs

Jens Bolte, Stefano Cardanobile, Delio Mugnolo, Robin Nittka

Distributed Architecture for Speech Controlled Systems Based on Associative Memories

Zoehre Kara Kayikci, Dmitry Zaykovskiy, Heiner Markert, Wolfgang Minker, Guenther Palm

Machine Learning for Categorisation of Speech Utterances

Amparo Albalate, David Suendermann, Roberto Pieraccini, Wolfgang Minker

Semi–supervised Clustering in Functional Genomics

Johann M. Kraus, Guenther Palm, Friedhelm Schwenker, Hans A. Kestler

Image Processing and Feature Extraction from a Perspective of Computer Vision and Physical Cosmology

Holger Stefan Janzer, Florian Raudies, Heiko Neumann, Frank Steiner

Boosting Ensembles of Weak Classifiers in High Dimensional Input Spaces

Ludwig Lausser, Friedhelm Schwenker, Hans A. Kestler

The Sampling Theorem in Theory and Practice

Wolfgang Arendt, Michal Chovanec, Jürgen Lindner, Robin Nittka

Coding and Decoding of Algebraic–Geometric Codes

Martin Bossert, Werner Luetkebohmert, Joerg Marhenke

Investigation of input–output gain in dynamical systems for neural information processing

Stefano Cardanobile, Michael Cohen, Silvia Corchs, Delio Mugnolo, Heiko Neumann

Wave Packet Dynamics and Factorization

Ruediger Mack, Wolfgang P. Schleich, Daniel Haase, Helmut Maier

Isomorphism and factorization – classical and quantum

algorithms

Sebastian Doern, Daniel Haase, Jacobo Torán, Fabian Wagner

QuickSort from an Information Theoretic View

Beatrice List, Markus Maucher, Uwe Schöning, Rainer Schuler

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Wolfgang Arendt is head of the Institute of Applied Analysis at the University of Ulm, Germany. Having obtained his degrees from the University of Nice, France, and Tuebingen, Germany, he worked for eight years as a professor at the University of Besançon in France before accepting a chair at the University of Ulm in Germany. He held visiting positions at the University of California at Berkeley, and the universities of Nancy, Oxford, Zuerich, Canberra, Sydney and Lecce. Professor Arendt′s fields of research are partial differential equations and functional analysis with special emphasis on evolution equations.

Wolfgang P. Schleich is head of the Institute of Quantum Physics at the University of Ulm, Germany, and Distinguished Adjunct Professor at the University of North Texas in Denton, USA. He has published more than 250 papers on problems of quantum optics, foundations of quantum mechanics and general relativity and is the author of the highly acclaimed textbook Quantum Optics in Phase Space, published with Wiley–VCH. For his work he has received numerous awards and honours.

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