R. Kaiser

activity

20222026

most citedScaling limit of the sandpile identity element on the Sierpinski gasket

2 citations · 3 across the 16 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.PR2022

Internal aggregation models with multiple sources and obstacle problems on Sierpinski gaskets

Uta Freiberg, Nico Heizmann, Robin Kaiser +1

We consider the doubly infinite Sierpinski gasket graph $S G_{0}$ , rescale it by factor $2^{- n}$ , and on the rescaled graphs $S G_{n} = 2^{- n} S G_{0}$ , for every $n \in N$ , we investi…

math.PR2022

Random rotor walks and i.i.d. sandpiles on Sierpinski graphs

Robin Kaiser, Ecaterina Sava-Huss

We prove that, on the infinite Sierpinski gasket graph SG, rotor walk with random initial configuration of rotors is recurrent. We also give a necessary condition for an i.i.d. san…

math.CO2022

Abelian sandpiles on Sierpinski gasket graphs

Robin Kaiser, Ecaterina Sava-Huss, Yuwen Wang

The aim of the current work is to investigate structural properties of the sandpile group of a special class of self-similar graphs. More precisely, we consider Abelian sandpiles o…