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. 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. 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. 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. 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, Jü rgen 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 Torá n, Fabian Wagner QuickSort from an Information Theoretic View Beatrice List, Markus Maucher, Uwe Schö ning, Rainer Schuler 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 Besanç on 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.
