6 papers
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…
Canonical Quantization of Spherically Symmetric Einstein-Scalar Field Solutions
JiÅà Äerný
We investigate canonical quantization of a general spherically symmetric spacetimes with a massless scalar-field source and examine the associated constraint algebra. The spacetime…
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…