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Mathematical Analysis of Evolution, Information, and Complexity

ISBN: 978-3-527-40830-6
502 pages
April 2009
Mathematical Analysis of Evolution, Information, and Complexity (3527408304) cover image


Mathematical Analysis of Evolution, Information, and Complexity deals with the analysis of evolution, information and complexity. The time evolution of systems or processes is a central question in science, this text covers a broad range of problems including diffusion processes, neuronal networks, quantum theory and cosmology. Bringing together a wide collection of research in mathematics, information theory, physics and other scientific and technical areas, this new title offers elementary and thus easily accessible introductions to the various fields of research addressed in the book.
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Table of Contents

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
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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Author Information

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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