Ergodic behaviour of “signed voter models”

Maillard, G., and Mountford, T. S.. "Ergodic behaviour of “signed voter models”." Annales de l'I.H.P. Probabilités et statistiques 49.1 (2013): 13-35. <http://eudml.org/doc/271955>.

@article{Maillard2013,
abstract = {We answer some questions raised by Gantert, Löwe and Steif (Ann. Inst. Henri Poincaré Probab. Stat.41(2005) 767–780) 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).},
author = {Maillard, G., Mountford, T. S.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {particle system; voter model; random walk; coupling},
language = {eng},
number = {1},
pages = {13-35},
publisher = {Gauthier-Villars},
title = {Ergodic behaviour of “signed voter models”},
url = {http://eudml.org/doc/271955},
volume = {49},
year = {2013},
}

TY - JOUR
AU - Maillard, G.
AU - Mountford, T. S.
TI - Ergodic behaviour of “signed voter models”
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2013
PB - Gauthier-Villars
VL - 49
IS - 1
SP - 13
EP - 35
AB - We answer some questions raised by Gantert, Löwe and Steif (Ann. Inst. Henri Poincaré Probab. Stat.41(2005) 767–780) 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).
LA - eng
KW - particle system; voter model; random walk; coupling
UR - http://eudml.org/doc/271955
ER -