5 papers · 1 filter
Linear spreading speed in non-monotone population models
Matthias Birkner, Alice Callegaro, JiÅà Äerný
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…
Tightness of the maximum of branching random walk in random environment and zero-crossings of solutions to discrete parabolic differential equations
JiÅà Äerný, Flavio Dalessi
We study branching random walk on in a bounded i.i.d. random environment. For this process, we prove that, for almost every realization of the environment, the distrib…
Scaling limits for the critical level-set percolation of the Gaussian free field on regular trees
JiÅà Äerný, Ramon Locher
We continue the study of the level-set percolation of the discrete Gaussian free field (GFF) on regular trees in the critical regime, initiated in arXiv:2302.02753. First, we deriv…
On the tightness of the maximum of branching Brownian motion in random environment
JiÅà Äerný, Alexander Drewitz, Pascal Oswald
We consider one-dimensional branching Brownian motion in spatially random branching environment (BBMRE) and show that for almost every realisation of the environment, the distribut…
Survival and complete convergence for a branching annihilating random walk
Matthias Birkner, Alice Callegaro, JiÅà Äerný +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 inde…