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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.
1. Image processing and feature extraction (H.Janzer, F.Steiner, and H.Neumann) 2. Investigation of input-output gain in dynamical systems for neuronal information processing (S.Corchs and H.Neumann) 3.Associative memory for speech-controlled systems (Z.Kara, D.Zaykovskiy, G.Palm, and W.Minker) 4. Current applications of unsupervised machine learning (G.Palm, W.Minker, A.Albalate, and J.Kraus) 5. Semi-supervised clustering in functional genomics (J.M.Kraus, G.Palm, and H.A.Kestler) 6. Isomorphy and factorization - classical and quantum algorithms (J.Bolte, S.Dorn, D.Haase, J.Toran, and F.Wagner) 7. Weyl's Formula: Spectral properties of the Laplacian in mathematics and physics (W.Arendt, R.Nittka, W.Peter, and F.Steiner) 8. Wave packet dynamics, the Riemann Zeta function and factorization (C.Feiler, R.Mack, W.Schleich, D.Haase, and H.Maier)
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.