15 citations · 62 across the 27 of their papers we have counts for
35 papers
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…
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 random disc-polygons in a disc-polygon
Ferenc Fodor, Péter Kevei, Viktor Vígh
We prove asymptotic formulas for the expectation of the vertex number and missed area of uniform random disc-polygons in convex disc-polygons. Our statements are the -convex ana…
Stochastic modeling of in vitro bactericidal potency
Anita Bogdanov, Péter Kevei, Máté Szalai +1
We provide a Galton--Watson model for the growth of a bacterial population in the presence of antibiotics. We assume that bacterial cells either die or duplicate, and the correspon…
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…