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math.PR2022
Nearly critical Galton--Watson processes
Péter Kevei, Kata Kubatovics
We investigate Galton--Watson processes in varying environment, for which and , where stands for the offsp…
math.PR2022
A landscape of peaks: The intermittency islands of the stochastic heat equation with Lévy noise
Carsten Chong, Péter Kevei
We show that the spatial profile of the solution to the stochastic heat equation features multiple layers of intermittency islands if the driving noise is non-Gaussian. On the one…
math.PR2022
Extremes of the stochastic heat equation with additive Lévy noise
Carsten Chong, Péter Kevei
We analyze the spatial asymptotic properties of the solution to the stochastic heat equation driven by an additive Lévy space-time white noise. For fixed time and space $x…