The Survival Probability of a Critical Branching Process in a Random Environment

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Limit theorems for subcritical branching processes in random environment (2003, methodology): “1 in [13] (they use notation̂ Ex exp(−Sk) for Ex[exp(x − Ỹk)]).”
On the extinction of Continuous State Branching Processes with catastrophes (2013, methodology): “We present brieﬂy the results of Theorem 1.1 in [GK00] and Theorems 1.1, 1.2 and 1.3 in [GKV03].”
Asymptotic results for exponential functionals of Levy processes (2016, background): “…classical Galton-Watson branching processes in random environment (GWRE-processes) was studied earlier by Afanasy’ev et al. (2005), Dyakonova et al. (2004), Geiger and Kersting (2002), Geiger et al. (2003), Guivarc’h and Liu (2001), Kozlov (1976), Liu (1996) and Vatutin et al. (2013) among others.”
Criticality for branching processes in random environment (2005, methodology): “In recent years the assumption of linear fractional offspring distributions could be dropped [see Afanasyev (2001), Geiger and Kersting (2000), Kozlov (1995) and Vatutin (2002)], and first steps to overcome the assumption of a finite variance random walk were taken [see Dyakonova, Geiger and…”