Table of Contents
1 Cover
4 Preface
5 1 Kernel Density Estimation in Seismology 1.1. Introduction 1.2. Complexity of magnitude distribution 1.3. Kernel estimation of magnitude distribution 1.4. Implications for hazard assessments 1.5. Interval estimation of magnitude CDF and related hazard parameters 1.6. Transformation to equivalent dimensions 1.7. References
6 2 Earthquake Simulators Development and Application 2.1. Introduction 2.2. Development of earthquake simulators in the seismological literature 2.3. Conceptual evolution of a physics-based earthquake simulator 2.4. Application of the last version of the simulator to the Nankai mega-thrust fault system 2.5. Appendix 1: Relations among source parameters adopted in the simulation model 2.6. Appendix 2: Outline of the simulation program 2.7. References
7 3 Statistical Laws of Post-seismic Activity 3.1. Introduction 3.2. Earthquake productivity 3.3. Time-dependent distribution of the largest aftershock magnitude 3.4. The distribution of the hazardous period 3.5. Conclusion 3.6. References
8 4 Explaining Foreshock and the Båth Law Using a Generic Earthquake Clustering Model 4.1. Introduction 4.2. Theories related to foreshock probability and the Båth law under the assumptions of the ETAS model 4.3. Foreshock simulations based on the ETAS model 4.4. Simulation of the Båth law based on the ETAS model 4.5. Conclusion 4.6. Acknowledgments 4.7. References
9 5 The Genesis of Aftershocks in Spring Slider Models 5.1. Introduction 5.2. The rate-and-state equation 5.3. The Dieterich model 5.4. The mechanics of afterslip 5.5. The two-block model 5.6. Conclusion 5.7. References
10 6 Markov Regression Models for Time Series of Earthquake Counts 6.1. Introduction 6.2. Markov regression HMMs: definition and notation 6.3. Application 6.4. Conclusion 6.5. Acknowledgments 6.6. References
11 7 Scaling Properties, Multifractality and Range of Correlations in Earthquake Time Series: Are Earthquakes Random? 7.1. Introduction 7.2. The range of correlations in earthquake time series 7.3. Scaling properties of earthquake time series 7.4. Fractal and multifractal structures 7.5. Discussion and conclusions 7.6. References
12 8 Self-correcting Models in Seismology: Possible Coupling Among Seismic Areas 8.1. Introduction 8.2. Review of applications 8.3. Formulation of the models 8.4. Applications 8.5. Conclusion 8.6. References
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