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math.PR2005★ 172 cited
Criticality for branching processes in random environment
V. I. Afanasyev, J. Geiger, G. Kersting +1
We study branching processes in an i.i.d. random environment, where the associated random walk is of the oscillating type. This class of processes generalizes the classical notion…
math.PR2004★ 5 cited
Path decompositions for Markov chains
Gotz Kersting, Kaya Memisoglu
We present two path decompositions of Markov chains (with general state space) by means of harmonic functions, which are dual to each other. They can be seen as a generalization of…