PART I: STOCHASTIC CALCULUS 1. Heat equation and Brownian motion 2. Ito calculus 3. Stochastic differential geometry 4. Examples of stochastic differential equations PART II: SCATTERING DYNAMICS 5. Diffusion models in electromagnetic scattering 6. Rayleigh scattering 7. Population dynamics 8. Dynamics of K-scattering 9. Models of weak scattering 10. Scattering from general populations PART III: SIMULATION AND EXPERIMENT 11. Simulation of K-scattering 12. Experimental tests 13. Non-linear dynamics of sea clutter 14. Observability of scattering cross-section APPENDICES A. Stability and infinite divisibility B. Ito versus Stratonovich stochastic integrals C. Filtrations, conditional probability and Markov property D. Girsanov's theorem E. Partition function solution to BDI model F. Summary of K-scattering G. Iterative solution for vector processes H. Open problems I. Suggested further reading References Index
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