Mathematical Analysis of Evolution, Information, and Complexity

Author: Wolfgang Arendt  

Publisher: John Wiley & Sons Inc‎

Publication year: 2009

E-ISBN: 9783527628032

P-ISBN(Hardback):  9783527408306

Subject: O411.1 Mathematical Methods of Physics

Language: ENG

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Description

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.

Chapter

Contents

pp.:  7 – 17

Preface

pp.:  17 – 21

List of Contributors

pp.:  21 – 25

Prologue

pp.:  25 – 33

1 Weyl’s Law

pp.:  33 – 105

2 Solutions of Systems of Linear Ordinary Differential Equations

pp.:  105 – 131

3 A Scalar–Tensor Theory of Gravity with a Higgs Potential

pp.:  131 – 169

4 Relating Simulation and Modeling of Neural Networks

pp.:  169 – 189

5 Boolean Networks for Modeling Gene Regulation

pp.:  189 – 213

6 Symmetries in Quantum Graphs

pp.:  213 – 229

7 Distributed Architecture for Speech-Controlled Systems Based on Associative Memories

pp.:  229 – 251

8 Machine Learning for Categorization of Speech Utterances

pp.:  251 – 275

9 Semi-Supervised Clustering in Functional Genomics

pp.:  275 – 305

10 Image Processing and Feature Extraction from a Perspective of Computer Vision and Physical Cosmology

pp.:  305 – 343

11 Boosting Ensembles of Weak Classifiers in High Dimensional Input Spaces

pp.:  343 – 365

12 The Sampling Theorem in Theory and Practice

pp.:  365 – 387

13 Coding and Decoding of Algebraic–Geometric Codes

pp.:  387 – 411

14 Investigation of Input–Output Gain in Dynamical Systems for Neural Information Processing

pp.:  411 – 427

15 Wave Packet Dynamics and Factorization

pp.:  427 – 465

16 Isomorphism and Factorization – Classical and Quantum Algorithms

pp.:  465 – 487

17 QuickSort from an Information Theoretic View

pp.:  487 – 497

Index

pp.:  497 – 504

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