Mathematical Analysis of Evolution, Information, and Complexity

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Wolfgang Arendt, Wolfgang P. Schleich
John Wiley & Sons, Jul 10, 2009 - Science - 502 pages
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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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1 Weyls Law
2 Solutions of Systems of Linear Ordinary Differential Equations
3 A ScalarTensor Theory of Gravity with a Higgs Potential
4 Relating Simulation and Modeling of Neural Networks
5 Boolean Networks for Modeling Gene Regulation
6 Symmetries in Quantum Graphs
7 Distributed Architecture for SpeechControlled Systems Based on Associative Memories
8 Machine Learning for Categorization of Speech Utterances
11 Boosting Ensembles of Weak Classifiers in High Dimensional Input Spaces
12 The Sampling Theorem in Theory and Practice
13 Coding and Decoding of AlgebraicGeometric Codes
14 Investigation of InputOutput Gain in Dynamical Systems for Neural Information Processing
15 Wave Packet Dynamics and Factorization
16 Isomorphism and Factorization Classical and Quantum Algorithms
17 QuickSort from an Information Theoretic View

9 SemiSupervised Clustering in Functional Genomics
10 Image Processing and Feature Extraction from a Perspective of Computer Vision and Physical Cosmology

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About the author (2009)

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 Besancon 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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