Abstract
Strong Markov property, renewals in Poisson process, rate kernel, embedded Markov chain, existence and explosion, compound and pseudo-Poisson processes, backward equation, invariant distribution, convergence dichotomy, mean recurrence times, Bienaymé process, extinction and asymptotics, binary splitting, Brownian branching tree, genealogy and Yule tree, survival rate and distribution, diffusion approximation.
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Kallenberg, O. (2021). Jump-Type Chains and Branching Processes. In: Foundations of Modern Probability . Probability Theory and Stochastic Modelling, vol 99. Springer, Cham. https://doi.org/10.1007/978-3-030-61871-1_14
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DOI: https://doi.org/10.1007/978-3-030-61871-1_14
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