The voter model with anti-voter bonds
Annales de l'I.H.P. Probabilités et statistiques, Tome 41 (2005) no. 4, pp. 767-780.
@article{AIHPB_2005__41_4_767_0,
     author = {Gantert, Nina and L\"owe, Matthias and Steif, Jeffrey E.},
     title = {The voter model with anti-voter bonds},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {767--780},
     publisher = {Elsevier},
     volume = {41},
     number = {4},
     year = {2005},
     doi = {10.1016/j.anihpb.2004.03.007},
     mrnumber = {2144233},
     zbl = {1070.60087},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1016/j.anihpb.2004.03.007/}
}
TY  - JOUR
AU  - Gantert, Nina
AU  - Löwe, Matthias
AU  - Steif, Jeffrey E.
TI  - The voter model with anti-voter bonds
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 2005
SP  - 767
EP  - 780
VL  - 41
IS  - 4
PB  - Elsevier
UR  - http://archive.numdam.org/articles/10.1016/j.anihpb.2004.03.007/
DO  - 10.1016/j.anihpb.2004.03.007
LA  - en
ID  - AIHPB_2005__41_4_767_0
ER  - 
%0 Journal Article
%A Gantert, Nina
%A Löwe, Matthias
%A Steif, Jeffrey E.
%T The voter model with anti-voter bonds
%J Annales de l'I.H.P. Probabilités et statistiques
%D 2005
%P 767-780
%V 41
%N 4
%I Elsevier
%U http://archive.numdam.org/articles/10.1016/j.anihpb.2004.03.007/
%R 10.1016/j.anihpb.2004.03.007
%G en
%F AIHPB_2005__41_4_767_0
Gantert, Nina; Löwe, Matthias; Steif, Jeffrey E. The voter model with anti-voter bonds. Annales de l'I.H.P. Probabilités et statistiques, Tome 41 (2005) no. 4, pp. 767-780. doi : 10.1016/j.anihpb.2004.03.007. http://archive.numdam.org/articles/10.1016/j.anihpb.2004.03.007/

[1] P. Donnelly, D. Welsh, The antivoter problem: random 2-colourings of graphs, in: Graph Theory and Combinatorics (Cambridge, 1983), Academic Press, London, 1984, pp. 133-144. | MR | Zbl

[2] R. Durrett, Lecture Notes on Particle Systems and Percolation, The Wadsworth & Brooks, 1988. | MR | Zbl

[3] M. Krishnapur, Y. Peres, Recurrent graphs where two independent random walks collide finitely often, Preprint. | MR

[4] T.M. Liggett, A characterization of the invariant measures for an infinite particle system with interactions. II, Trans. Amer. Math. Soc. 198 (1974) 201-213. | MR | Zbl

[5] T.M. Liggett, Interacting Particle Systems, Springer-Verlag, 1985. | MR | Zbl

[6] N.S. Matloff, Ergodicity conditions for a dissonant voting model, Ann. Probab. 5 (1977) 371-386. | MR | Zbl

[7] N.S. Matloff, A dissonant voting model: nonergodic case, Z. Wahrsch. Verw. Gebiete 51 (1980) 63-78. | MR | Zbl

[8] E. Saada, Un modèle du votant en milieu aléatoire, Ann. Inst. H. Poincaré Probab. Statist. 31 (1995) 263-271. | Numdam | MR | Zbl

[9] G. Winkler, Image Analysis, Random Fields and Dynamical Monte Carlo Methods, Applications of Mathematics, vol. 27, Springer, 1995. | MR | Zbl

Cité par Sources :