Mathematical Analysis of Evolution, Information, and Complexity

Copyright © 2009 Wiley-VCH Verlag GmbH & Co. KGaA

Mathematical Analysis of Evolution, Information, and Complexity

Editor(s): Wolfgang Arendt, Wolfgang P. Schleich

Published Online: 21 AUG 2009

Print ISBN: 9783527408306

Online ISBN: 9783527628025

DOI: 10.1002/9783527628025

About this Book

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About The Product

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.

Table of contents

    1. You have free access to this content
      Front Matter (pages I–XXIX)

    2. Chapter 1

      Weyl's Law: Spectral Properties of the Laplacian in Mathematics and Physics (pages 1–71)

      Prof. Dr. Wolfgang Arendt, Robin Nittka, Wolfgang Peter and Frank Steiner

    3. Chapter 2

      Solutions of Systems of Linear Ordinary Differential Equations (pages 73–98)

      Werner Balser, Claudia Röscheisen, Frank Steiner and Eric Sträng

    4. Chapter 3

      A Scalar–Tensor Theory of Gravity with a Higgs Potential (pages 99–136)

      Nils Manuel Bezares-Roder and Frank Steiner

    5. Chapter 4

      Relating Simulation and Modeling of Neural Networks (pages 137–155)

      Stefano Cardanobile, Heiner Markert, Delio Mugnolo, Günther Palm and Friedhelm Schwenker

    6. Chapter 5

      Boolean Networks for Modeling Gene Regulation (pages 157–179)

      Christian Wawra, Michael Kühl and Hans A. Kestler

    7. Chapter 6

      Symmetries in Quantum Graphs (pages 181–196)

      Jens Bolte, Stefano Cardanobile, Delio Mugnolo and Robin Nittka

    8. Chapter 7

      Distributed Architecture for Speech-Controlled Systems Based on Associative Memories (pages 197–218)

      Zöhre Kara Kayikci, Dmitry Zaykovskiy, Heiner Markert, Wolfgang Minker and Günther Palm

    9. Chapter 8

      Machine Learning for Categorization of Speech Utterances (pages 219–241)

      Amparo Albalate, David Suendermann, Roberto Pieraccini and Wolfgang Minker

    10. Chapter 9

      Semi-Supervised Clustering in Functional Genomics (pages 243–271)

      Johann M. Kraus, Günther Palm, Friedhelm Schwenker and Hans A. Kestler

    11. Chapter 10

      Image Processing and Feature Extraction from a Perspective of Computer Vision and Physical Cosmology (pages 273–310)

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

    12. Chapter 11

      Boosting Ensembles of Weak Classifiers in High Dimensional Input Spaces (pages 311–332)

      Ludwig Lausser, Friedhelm Schwenker and Hans A. Kestler

    13. Chapter 12

      The Sampling Theorem in Theory and Practice (pages 333–354)

      Prof. Dr. Wolfgang Arendt, Michal Chovanec, Jürgen Lindner and Robin Nittka

    14. Chapter 13

      Coding and Decoding of Algebraic–Geometric Codes (pages 355–378)

      Martin Bossert, Werner Lütkebohmert and Jörg Marhenke

    15. Chapter 14

      Investigation of Input–Output Gain in Dynamical Systems for Neural Information Processing (pages 379–393)

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

    16. Chapter 15

      Factorization (pages 395–431)

      Rüdiger Mack, Prof. Dr. Wolfgang P. Schleich, Daniel Haase and Helmut Maier

    17. Chapter 16

      Isomorphism and Factorization – Classical and Quantum Algorithms (pages 433–453)

      Sebastian Dörn, Daniel Haase, Jacobo Torán and Fabian Wagner

    18. Chapter 17

      QuickSort from an Information Theoretic View (pages 455–464)

      Beatrice List, Markus Maucher, Uwe Schöning and Rainer Schuler

    19. You have free access to this content
      Index (pages 465–472)

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