Abstract
LetZ n be the number of particlesatmoment n inabranching process in random environment with iid probability generating functions. Imposing Spitzer’s condition on the associated random walk and applying the quenchedapproachwe find the asymptotics of the survival probability of the process up to moment n as n→∞and prove a Yaglom type limit theorem (under appropriate scaling) for Z n conditioned on Z n > 0. 1
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Vatutin, V., Dyakonova, E. (2004). Yaglom Type Limit Theorem for Branching Processes in Random Environment. In: Drmota, M., Flajolet, P., Gardy, D., Gittenberger, B. (eds) Mathematics and Computer Science III. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7915-6_38
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DOI: https://doi.org/10.1007/978-3-0348-7915-6_38
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