Geodesic
Invariance Principle for the Critical Branching Process in a Random Environment Attaining a High Level
Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 1, pp. 3-17

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A conditional invariance principle is established for the critical branching process in a random environment attaining a high level, and finite-dimensional distributions of the limiting process are found.
Keywords: branching process in a random environment, conditional invariance principles, Brownian excursion, Brownian meander. 
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     author = {V. I. Afanasyev},
     title = {Invariance {Principle} for the {Critical} {Branching} {Process} in a {Random} {Environment} {Attaining} a {High} {Level}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     url = {http://geodesic.mathdoc.fr/item/TVP_2009_54_1_a0/}
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V. I. Afanasyev. Invariance Principle for the Critical Branching Process in a Random Environment Attaining a High Level. Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 1, pp. 3-17. http://geodesic.mathdoc.fr/item/TVP_2009_54_1_a0/