7 citations · 10 across the 9 of their papers we have counts for
14 papers · 1 filter
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…
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…
On a conjecture of Seneta
Peter Kevei
In this short note we prove that is regularly varying with index if and only if $V_β(x) = \int_{[0,x]} y^β\mat…
Strong renewal theorem and local limit theorem in the absence of regular variation
Peter Kevei, Dalia Terhesiu
We obtain a strong renewal theorem with infinite mean beyond regular variation, when the underlying distribution belongs to the domain of geometric partial attraction a semistable…
Moments of the stationary distribution of subcritical multitype Galton-Watson processes with immigration
Péter Kevei, Péter Wiandt
In this short note we obtain necessary and sufficient conditions for the existence of the moments of the stationary distribution of a subcritical multitype Galton-Watson process wi…
Limit Theorems for Branching Processes with Immigration in a Random Environment
Bojan Basrak, Peter Kevei
We investigate subcritical Galton-Watson branching processes with immigration in a random environment. Using Goldie's implicit renewal theory we show that under general Cramér cond…