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| Preface | |
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| Acknowledgment | |
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| Introduction | |
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| Characterization of the SOC State | |
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| Response Distributions | |
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| Temporal Fluctuations | |
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| Power Spectrum and Distribution of Lifetimes | |
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| Spatial Correlation Functions | |
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| Systems Exhibiting SOC | |
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| Introduction | |
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| Sandpiles | |
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| Ricepiles | |
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| Superconducting Avalanches | |
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| Droplet Formation | |
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| Earthquakes | |
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| Evolution | |
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| Computer Models | |
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| Introduction | |
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| Sandpiles: Conservative Model | |
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| One-Dimensional Sandpile | |
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| Dimensions Larger than 1 | |
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| Critical Response | |
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| Numerical Results: Distribution Functions | |
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| Power Spectrum | |
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| Earthquake Models: Nonconservative Models | |
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| Criticality of the OFC Model | |
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| Nearest Neighbor OFC Model | |
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| Random Neighbor OFC Model | |
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| Distributions and Fluctuations in the Nearest Neighbor OFC Model | |
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| The Effect of Disorder on the OFC Model | |
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| Physical Relevance of the OFC Model | |
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| Lattice Gas | |
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| Definition of the Lattice Gas Model | |
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| Properties of Lattice Gas | |
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| The Lesson of Lattice Gas | |
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| Physical Relevance of the Lattice Gas Model | |
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| Forest Fires | |
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| Definition of a Critical Forest Fire Model | |
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| Simulation Results for the Forest Fire Model | |
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| Physical Relevance of the Forest Fire Model | |
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| Extremum Dynamics | |
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| The Model of Interface Growth in a Random Medium | |
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| The Evolution Model | |
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| The Search for a Formalism | |
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| Introduction | |
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| Mean Field Theory | |
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| Sandpile Models | |
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| Earthquake Models | |
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| Diffusive Description of Lattice Gas | |
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| Forest Fire Model | |
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| Model of Biological Evolution | |
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| Exact Solution of the Abelian Sandpile | |
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| The [Delta] Matrix and the Probability Measure on the Configuration Space | |
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| Correlation Functions | |
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| Langevin Equations | |
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| Conservative Models | |
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| Nonconservative Models | |
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| Dynamically Driven Renormalization Group Calculations | |
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| Renormalization Transformation | |
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| Exponents | |
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| Nonconservative Models | |
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| Forest Fire Models | |
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| Is It SOC or Not? | |
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| Where Is SOC to be Found? | |
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| What Is Tuning? | |
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| Appendices | |
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| Code for the BTW Sandpile | |
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| Code for the Lattice Gas | |
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| Code for the Bak-Sneppen Evolution Model | |
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| Power Spectra and the Correlation Function | |
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| Statistical Weights in the DDRG | |
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| References | |
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| Index | |