Synopsis
Preface. List of Notations. Introduction. 1. Random Evolutions (RE). 2. Stochastic Evoluationary Systems. 3. Random Evolution Equations Driven by Space-Time White Noise. 4. Analogue of Dynkin's Formula (ADF) for Multiplicative Operator Functionals (MOF), RE and SES. 5. Boundary Value Problems (BVP) for RE and SES. 6. Stochastic Stability of RE and SES. 7. Stochastic Optimal Control of Random Evolutions and SES. 8. Statistics of SES. 9. Random Evolutions in Financial Mathematics. Incomplete Market. 10. Random Evolutions in Insurance Mathematics. Incomplete Market. 11. Stochastic Stability of Financial and Insurance Stochastic Models. 12. Stochastic Optimal Control of Financial and Insurance Stochastic Models. 13. Statistics of Financial Stochastic Models. Bibliography. Index.
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