4 papers
A law of large numbers for the range of rotor walks on periodic trees
Wilfried Huss, Ecaterina Sava-Huss
The aim of the current work is to prove a law of large numbers for the range size of recurrent rotor walks with random initial configuration on a general class of trees, called per…
Range and speed of rotor walks on trees
Wilfried Huss, Ecaterina Sava-Huss
We prove a law of large numbers for the range of rotor walks with random initial configuration on regular trees and on Galton-Watson trees. More precisely, we show that on the clas…
Divisible sandpile on Sierpinski gasket graphs
Wilfried Huss, Ecaterina Sava-Huss
The divisible sandpile model is a growth model on graphs that was introduced by Levine and Peres as a tool to study internal diffusion limited aggregation. In this work we investig…
Interpolating between random walk and rotor walk
Wilfried Huss, Lionel Levine, Ecaterina Sava-Huss
We introduce a family of stochastic processes on the integers, depending on a parameter and interpolating between the deterministic rotor walk (p=0) and the simple ra…