1. Classical Description of Earthquake Sources.- 2. Earthquake Source Spectrum of Complex Faulting Process.- 3. Acceleration Spectrum of Complex Faulting Process.- 4. Seismic Energy of Complex Faulting Process.- 5. Earthquake Magnitude and Complex Faulting Process.- 6. General Description of Complex Faulting Process.- 7. Stochastic Rupture Process of Fault Patches.- 8. Stochastic Modeling of Complex Earthquake Activity.- 9. Non-linear Scaling Law of Earthquake Activity.- Appendix A.- Appendix B.- Appendix C.- Appendix D.- Appendix E.- Appendix F.- Appendix G.- References.- List of Symbols.

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