2 papers
math.PR2026
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…
math.PR2024
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…