Branching Processes and Their Applications

Part I Coalescent Branching Processes: Coalescence in Branching Processes.- A Multi-type ¿-coalescent.- Part II Branching Random Walks: On the Number of Positive Eigenvalues of the Evolutionary Operator of Branching Random Walk.- Branching Structures Within Random Walks and Their Applications.- Part III opulation Growth Models in Varying and Random Environments: Some Asymptotic Results for Strongly Critical Branching Processes With Immigration in Varying Environment.- Subcritical Branching Processes in Random Environment.- Part IV Size/Density/Resource-Dependent Branching Models: The Theorem of Envelopment and Directives of Control in Resource Dependent Branching Processes.- From Size to Age and Type Structure Dependent Branching - A First Step to Sexual Reproduction in General Population Processes.- Part V Age-dependent Branching Models: Supercritical Sevastyanov Branching Processes With Non-homogeneous Poisson Immigration.- Crump-Mode-JagersBranching Process - A Numerical Approach.- Part VI Special Branching Models: Bayesian Analysis for Controlled Branching Processes.- Recurrence and Transience of Near-critical Multivariate Growth Models - Criteria and Examples.- The Weighted Branching Process.- A Special Family of Galton-Watson Processes With Explosions.- Part VII Applications in Epidemiology: Total Progeny of Crump-Mode-Jagers Branching Processes - An Application to Vaccination in Epidemic Modeling.- Inference for Emerging Epidemics Among a Community of Households.- Part VIII Applications in Biology and Genetics: Extinction Probability of Some Recessive Alleles of X-linked Genes in the Context of two-sex Branching Processes.- Two-sex Branching Processes With Several Mating and Reproduction Strategies - Extinction Versus Survival.- On two-Type Decomposable Branching Processes in Continuous Time and Time to Escape Extinction.