Random walks in dynamic random environments and ancestry under local population regulation
M Birkner, J Černý, A Depperschmidt - 2016 - projecteuclid.org
We consider random walks in dynamic random environments, with an environment
generated by the time-reversal of a Markov process from the oriented percolation …
generated by the time-reversal of a Markov process from the oriented percolation …
Survival and complete convergence for a branching annihilating random walk
M Birkner, A Callegaro, J Černý… - The Annals of Applied …, 2024 - projecteuclid.org
We study a discrete-time branching annihilating random walk (BARW) on the d-dimensional
lattice. Each particle produces a Poissonian number of offspring with mean μ which …
lattice. Each particle produces a Poissonian number of offspring with mean μ which …
Pair coalescence times of ancestral lineages of two-dimensional logistic branching random walks
M Birkner, A Depperschmidt, T Schlüter - arXiv preprint arXiv:2405.02090, 2024 - arxiv.org
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 …
random walks with logistic regulation in the stationary regime. We study the asymptotics of …
Quenched CLT for ancestral lineages of logistic branching random walks
M Birkner, A Depperschmidt, T Schlüter - arXiv preprint arXiv:2403.08567, 2024 - arxiv.org
We consider random walks in dynamic random environments which arise naturally as
spatial embeddings of ancestral lineages in spatial locally regulated population models. In …
spatial embeddings of ancestral lineages in spatial locally regulated population models. In …
[PDF][PDF] Phenotypic heterogeneity in bacterial populations: a mathematical study
P Czuppon - 2016 - freidok.uni-freiburg.de
Heterogeneity is ubiquitously observed in nature. From microbes to mammals, individuals
established distinct life styles even given homogeneous environmental conditions and …
established distinct life styles even given homogeneous environmental conditions and …