Titlebook: Classical and Modern Branching Processes; Krishna B. Athreya,Peter Jagers Book 1997 Springer Science+Business Media New York 1997 Branchin

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A Conceptual Proof of the Kesten-Stigum Theorem for Multi-Type Branching Processes,We give complete proofs of the theorem of convergence of types and the Kesten-Stigum theorem for multi-type branching processes. Very little analysis is used beyond the strong law of large numbers and some basic measure theory..AMS(MOS) subject classifications. Primary 60J80.

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Large Deviation Rates for Supercritical and Critical Branching Processes,e the (large deviation) probability that the ratio of the population at time (n + 1) to that at time n deviates from one by more than decays at an algebraic rate. A number of similar results are presented here. Some open problems are indicated.

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