2 citations · 3 across the 16 of their papers we have counts for
7 papers · 2 filters
Limit shape, avalanches, and stabilisation of abelian sandpiles on comb lattices
Robin Kaiser, Ecaterina Sava-Huss, Julia Überbacher
We study two aspects of the abelian sandpile model on comb lattices. First, we prove that the infinite-volume limit of the stationary measures is supported on the saturated configu…
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…
Law of the Iterated Logarithm for -Walks on
Robin Kaiser
The -rotor walk on is a self-interacting walk that interpolates between the simple random walk and the deterministic rotor walk. While the weak convergence of this…
Limit shape of single-source stochastic sandpiles with -topplings on
David Beck-Tiefenbach, Robin Kaiser, Julia Überbacher
We investigate the limit shape of the single-source model for stochastic sandpiles on the integer line subject to --topplings. In this model, an initial configuration of $n\in\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…
Stochastic Sandpiles with Uniform Toppling Rule on the Line
David Beck-Tiefenbach, Robin Kaiser
We consider the stochastic sandpile model with uniform toppling rule on the integer line. During a uniform toppling, with probability one particle is sent to the right of the…
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…