14 citations · 23 across the 7 of their papers we have counts for
7 papers · 1 filter
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…
Internal DLA on Sierpinski gasket graphs
Joe P. Chen, Wilfried Huss, Ecaterina Sava-Huss +1
Internal diffusion-limited aggregation (IDLA) is a stochastic growth model on a graph which describes the formation of a random set of vertices growing from the origin (some fi…
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…
Rotor-routing on Galton-Watson trees
Wilfried Huss, Sebastian Mueller, Ecaterina Sava-Huss
A rotor-router walk on a graph is a deterministic process, in which each vertex is endowed with a rotor that points to one of the neighbors. A particle located at some vertex first…
Internal Aggregation Models on Comb Lattices
Wilfried Huss, Ecaterina Sava
The two-dimensional comb lattice is a natural spanning tree of the Euclidean lattice . We study three related cluster growth models on : internal diffusion…