Afanasyev, V. I. - In: Stochastic Processes and their Applications 93 (2001) 1, pp. 87-107
Let {[xi]n} be a subcritical branching process in random environment with independent identically distributed generating functions fn(s). It is shown that if there exists a positive number æ such that E(f0'(1))æ=1 then, for x-->+[infinity],where K is a positive constant.