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math.PR2018
Absolute continuity of the martingale limit in branching processes in random environment
Ewa Damek, Nina Gantert, Konrad Kolesko
We consider a supercritical branching process in a stationary and ergodic random environment . Due to the martingale convergence theorem, it is known that th…
math.PR2018
Fluctuations of Biggins' martingales at complex parameters
Alexander Iksanov, Konrad Kolesko, Matthias Meiners
The long-term behavior of a supercritical branching random walk can be described and analyzed with the help of Biggins' martingales, parametrized by real or complex numbers. The st…