The first comprehensive account of controlled diffusions with a focus on ergodic or 'long run average' control.

Preface; Frequently used notation; 1. Markov processes and ergodic properties; 2. Controlled diffusions; 3. Nondegenerate controlled diffusions; 4. Various topics in nondegenerate diffusions; 5. Controlled switching diffusions; 6. Controlled martingale problems; 7. Degenerate controlled diffusions; 8. Controlled diffusions with partial observations; Epilogue; Appendix; References; Index of symbols; Subject index.

Ari Arapostathis is a Professor in the Department of Electrical and Computer Engineering at the University of Texas, Austin.