Introduction. 1. Operator Semigroups. 2. Stochastic Processes and Martingales. 3. Convergence of Probability Measures. 4. Generators and Markov Processes. 5. Stochastic Integral Equations. 6. Random Time Changes. 7. Invariance Principles and Diffusion Approximations. 8. Examples of Generators. 9. Branching Processes. 10. Genetic Models. 11. Density Dependent Population Processes. 12. Random Evolutions. Appendixes. References. Index. Flowchart.
STEWART N. ETHIER, PhD, is Professor of Mathematics at the University of Utah. He received his PhD in mathematics at the University of Wisconsin Madison. THOMAS G. KURTZ, PhD, is Professor of Mathematics and Statistics at the University of Wisconsin Madison. He is a Book Review Editor for The Annals of Probability and the author of Approximation of Population Processes. Dr. Kurtz obtained his PhD in mathematics at Stanford University.