Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. The Model -- Chapter 3. Main Results -- Chapter 4. Coupling -- Chapter 5. Normalized Model -- Chapter 6. Lumping -- 6.1. Distance process -- 6.2. Occupancy process -- 6.3. Invariant probability measures -- Chapter 7. Monotonicity -- 7.1. Coupling of the lumped processes -- 7.2. Monotonicity of the model -- Chapter 8. Stochastic Bounds -- 8.1. Lower and upper processes -- 8.2. Dynamics of the bounding processes -- 8.3. A renewal argument -- 8.4. Bounds on
Chapter 9. Birth and Death Processes9.1. General formulas -- 9.2. The case of (̂{ }_{ })_{ â?Æ0} -- 9.3. Persistence time -- 9.4. Invariant probability measure -- Chapter 10. The Neutral Phase -- 10.1. Ancestral lines -- 10.2. Mutation dynamics -- 10.3. Falling to equilibrium from the left -- 10.4. Falling to equilibrium from the right -- 10.5. Discovery time -- Chapter 11. Synthesis -- Appendix A. Appendix on Markov Chains -- Bibliography -- Index -- Back Cover
