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| Authors | |
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| Acknowledgments | |
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| Notational Standards | |
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| Generalities | |
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| The Role of Models | |
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| The Role of Randomness | |
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| Branching Processes: Some First Words | |
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| Stochastic and Deterministic Modeling: An Illustration | |
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| Structure of the Book | |
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| Discrete-Time Branching Processes | |
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| The Basic Process | |
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| Basic Properties and Two Benchmark Processes | |
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| Several Types | |
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| Generation Overlap | |
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| State Dependence | |
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| Dependence on the Population Itself | |
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| Interaction Between Individuals | |
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| Sexual Reproduction | |
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| Varying Environments | |
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| Migration | |
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| Branching in Continuous Time | |
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| Generations in Real Time | |
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| Reproducing Only Once | |
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| General Branching Processes | |
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| Age-distribution and Other Composition Matters | |
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| Interaction, Dependence upon Resources, Varying Environment, and Population | |
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| Large Populations | |
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| Approximations of Branching Processes | |
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| Discrete-Time Dynamical Systems as Population Models | |
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| Branching Processes and Structured Population Dynamics | |
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| Extinction | |
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| The Role of Extinction in Evolution | |
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| Extinction or Explosion: The Merciless Dichotomy | |
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| Extinction and Generating Functions | |
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| Time to Extinction in Simple Processes | |
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| Multi-type Processes | |
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| Slightly Supercritical Populations | |
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| Accounting for Time Being Continuous | |
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| Population Size Dependent Processes | |
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| Effects of Sexual Reproduction | |
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| Environmental Variation Revisited | |
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| Development of Populations | |
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| Exponential Growth | |
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| Asymptotic Composition and Mass Growth | |
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| Reproductive Value | |
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| Populations Bound for Extinction | |
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| Interaction and Dependence | |
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| Growth of Populations with Sexual Reproduction | |
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| Immigration in Subcritical Populations | |
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| Quasi-stationarity: General Remarks | |
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| Quasi-stationary Behavior in a Simple Discrete-time Model | |
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| Specific Models | |
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| Coalescent Processes: Reversed Branching | |
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| Ancestral Inference in Branching Processes | |
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| The Cell Cycle | |
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| Telomere Shortening: An Overview | |
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| The Polymerase Chain Reaction | |
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| Modeling Measles Outbreaks | |
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| Metapopulations | |
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| Multi-type Branching Processes and Adaptive Dynamics of Structured Populations | |
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| Appendix | |
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| Expectation and Variance | |
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| Useful Equalities and Inequalities | |
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| Conditioning | |
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| Distributions and Their Transforms | |
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| Convergence | |
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| The Perron-Frobenius Theorem | |
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| References | |
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| Index | |