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Conditional \(L^1\)-convergence for the martingale of a critical branching process in random environment. (English. Russian original) Zbl 07517606

Proc. Steklov Inst. Math. 316, No. 1, 184-194 (2022); translation from Tr. Mat. Inst. Steklova 316, 195-206 (2022).
MSC:  60-XX 62-XX
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Single jump filtrations: preservation of the local martingale property with respect to the filtration generated by the local martingale. (English) Zbl 1483.60064

Karapetyants, Alexey N. (ed.) et al., Operator theory and harmonic analysis. OTHA 2020, Part II – probability-analytical models, methods and applications. Based on the international conference on modern methods, problems and applications of operator theory and harmonic analysis. Cham: Springer. Springer Proc. Math. Stat. 358, 219-231 (2021).
MSC:  60G44
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