Ergodic behaviour of "signed voter models"

Details Ergodic behaviour of "signed voter models" Ergodic behaviour of "signed voter models"

2007-09-21

arxiv.org/abs/0709.3468v2

Mathematics

Probability

22 pages

Scientific paper

We consider some questions raised by the recent paper of Gantert, L\"owe and Steif (2005) concerning ``signed'' voter models on locally finite graphs. These are voter model like processes with the difference that the edges are considered to be either positive or negative. If an edge between a site $x$ and a site $y$ is negative (respectively positive) the site $y$ will contribute towards the flip rate of $x$ if and only if the two current spin values are equal (respectively opposed).

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