Ergodic behaviour of "signed voter models"

Andjel, E.; Maillard, G.; Mountford, T. S.

Ergodic behaviour of "signed voter models"

Authors

Andjel, E.

Maillard, G.

Mountford, T. S.

Description

We consider some questions raised by the recent paper of Gantert, Löwe 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).
22 pages