49 citations · 85 across the 17 of their papers we have counts for
18 papers
Quenched local limit theorem for a directed random walk on the backbone of a supercritical oriented percolation cluster for
Stein Andreas Bethuelsen, Matthias Birkner, Andrej Depperschmidt +1
In this work we extend the quenched local limit theorem obtained by the authors in [BBDS23]. More precisely, we consider a directed random walk on the backbone of the supercritical…
Pair coalescence times of ancestral lineages of two-dimensional logistic branching random walks
Matthias Birkner, Andrej Depperschmidt, Timo Schlüter
Consider two ancestral lineages sampled from a system of two-dimensional branching random walks with logistic regulation in the stationary regime. We study the asymptotics of their…
Quenched CLT for ancestral lineages of logistic branching random walks
Matthias Birkner, Andrej Depperschmidt, Timo Schlüter
We consider random walks in dynamic random environments which arise naturally as spatial embeddings of ancestral lineages in spatial locally regulated population models. In particu…
Local limit theorems for a directed random walk on the backbone of a supercritical oriented percolation cluster
Stein Andreas Bethuelsen, Matthias Birkner, Andrej Depperschmidt +1
We consider a directed random walk on the backbone of the supercritical oriented percolation cluster in dimensions with being the spatial dimension. For this random…
Genealogy-valued Feller diffusion
Andrej Depperschmidt, Andreas Greven
We consider the evolution of the genealogy of the population currently alive in a Feller branching diffusion model. In contrast to the approach via labeled trees in the continuum r…
Duality and the well-posedness of a martingale problem
Andrej Depperschmidt, Andreas Greven, Peter Pfaffelhuber
For two Polish state spaces and , and an operator , we obtain existence and uniqueness of a -martingale problem provided there is a bounded continuous duality…