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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.PR2025
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…