2 citations · 2 across the 8 of their papers we have counts for
16 papers
Phase transition for the asymptotic entropy of branching random walks on groups
Jeremie Brieussel, Robin Kaiser, Martin Klötzer +1
We consider supercritical branching random walks (BRW) on countable groups and we prove that the asymptotic entropy of the empirical distributions of the BRW has a phase transi…
Divisible sandpiles via random walks in random scenery
Ahmed Bou-Rabee, Yuval Peres, Ecaterina Sava-Huss
We analyze an optimal stopping problem for random walk in random scenery on general graphs, and determine when it has a finite optimum. We use this to extend a theorem of Levine, M…
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…
Maximal and minimal displacement of supercritical branching random walks on free products of groups
Robin Kaiser, Martin Klötzer, Konrad Kolesko +1
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…
On the structure of the sandpile identity element on Sierpinski gasket graphs
Robin Kaiser, Ecaterina Sava-Huss, Julia Überbacher
We consider the identity of the abelian sandpile group of finite approximation graphs of the Sierpinski gasket, and we show that the second-order term in the scaling limit converge…
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…