81 citations · 220 across the 24 of their papers we have counts for
27 papers
Linear spreading speed in non-monotone population models
Matthias Birkner, Alice Callegaro, Jiří Černý
For a broad class of discrete-time, finite-range interacting particle systems on , we establish a linear spreading speed and a one-dimensional shape theorem on the even…
Survival and complete convergence for a branching annihilating random walk
Matthias Birkner, Alice Callegaro, Jiří Černý +2
We study a discrete-time branching annihilating random walk (BARW) on the -dimensional lattice. Each particle produces a Poissonian number of offspring with mean which indep…
Collective vs. individual behaviour for sums of i.i.d. random variables: appearance of the one-big-jump phenomenon
Quentin Berger, Matthias Birkner, Linglong Yuan
This article studies large and local large deviations for sums of i.i.d. real-valued random variables in the domain of attraction of an -stable law, , with emphasis…
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…
Probabilities of large values for sums of i.i.d. non-negative random variables with regular tail of index
Matthias Birkner, Linglong Yuan
Let be i.i.d. non-negative random variables whose tail varies regularly with index , let be the sum and the largest of the first values. We cl…
The joint fluctuations of the lengths of the Beta-coalescents
Matthias Birkner, Iulia Dahmer, Christina S. Diehl +1
We consider Beta-coalescents with parameter range starting from leaves. The length of order in the -Beta-coalescent tree is d…