3 papers
math.PR2026
Stabilization of stochastic networks in Markovian environment
Robin Kaiser, Martin Klötzer, Ecaterina Sava-Huss
We establish criteria under which stochastic networks in a Markovian environment stabilize, thus confirming Conjecture 7.2 from Levine-Greco [GL23]. The networks evolve on finite c…
math.PR2026
Maximal and minimal displacement of supercritical branching random walks on free products of groups
Robin Kaiser, Martin Klötzer, Martin Klötzer +2
We prove that the maximal and minimal displacement of branching random walks with mean offspring number on free products of finite groups grows linearly almost surely. More p…
math.PR2026
Limit theorems for the empirical distribution of supercritical branching random walks on transitive graphs
Robin Kaiser, Martin Klötzer, Ecaterina Sava-Huss
We consider supercritical branching random walks on transitive graphs and we prove a law of large numbers for the mean displacement of the ensemble of particles, and a Stam-type ce…