Randomly interacting particle systems : the uniqueness regime
Gielis, G. ; Maes, C. ; Vande Velde, K.
Annales de l'I.H.P. Physique théorique, Tome 71 (1999), p. 445-472 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1999-01-01
@article{AIHPA_1999__70_5_445_0,
     author = {Gielis, G. and Maes, C. and Vande Velde, K.},
     title = {Randomly interacting particle systems : the uniqueness regime},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {71},
     year = {1999},
     pages = {445-472},
     mrnumber = {1697916},
     zbl = {0965.60097},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1999__70_5_445_0}
}

Gielis, G.; Maes, C.; Vande Velde, K. Randomly interacting particle systems : the uniqueness regime. Annales de l'I.H.P. Physique théorique, Tome 71 (1999) pp. 445-472. http://gdmltest.u-ga.fr/item/AIHPA_1999__70_5_445_0/

[1] M. Bramson, R. Durrett and R.H. Schonman, The contact process in a random environment, Ann. Prob. 19 (1991) 984-1009. | MR 1112403 | Zbl 0741.60097

[2] J. Van Den Berg and C. Maes, Disagreement percolation in the study of Markov fields, Ann. Prob. 22 (1994) 749-763. | MR 1288130 | Zbl 0814.60096

[3] M. Campanino and A. Klein, Decay for two-point functions for (d + 1)- dimensional percolation, Ising and Potts model with d-dimensional disorder, Commun. Math. Phys. 135 (1991) 483-497. | MR 1091574 | Zbl 0716.60127

[4] F. Cesi, C. Maes and F. Martinelli, Relaxation of disordered magnets in the Griffiths' regime, Preprint, 1996.

[5] F. Cesi, C. Maes and F. Martinelli, Relaxation to equilibrium for two dimensional disordered Ising systems in the Griffiths' phase, Preprint, 1996.

[6] H. De Jong and C. Maes, Extended application of constructive criteria for ergodicity of interacting particle systems, Int. J. Mod. Phys. 7 (1996) 1-18. | MR 1398310 | Zbl 0940.60513

[7] A. Klein, Extinction of the contact process in a random environment, Ann. of Probab. 22 (1994) 1227-1252. | MR 1303643 | Zbl 0814.60098

[8] G. Gielis and C. Maes, Percolation techniques in disordered spin flip dynamics: relaxation to the unique invariant measure, Commun. Math. Phys. 177 (1995) 83- 101. | MR 1382221 | Zbl 0851.60096

[9] A. Guionnet and B. Zegarlinski, Decay to equilibrium on a random spin system on a lattice, Preprint, 1996. | MR 1414307

[10] A. Guionnet and B. Zegarlinski, Decay to equilibrium on a random spin system on a lattice II, Preprint, 1996. | MR 1414307

[11] T.M. Liggett, Interacting Particle Systems, Berlin, Springer, 1985. | MR 776231 | Zbl 0559.60078

[12] J.L. Lebowitz, C. Maes and E. Speer, Statistical mechanics of probabilistic cellullar automata, J. Stat. Phys. 59 (1990) 117-170. | MR 1049965 | Zbl 01397757

[13] T.M. Liggett, The survival of one dimensional contact processes in random environments, Ann. of Probab. 20 (1992) 696-723. | MR 1159569 | Zbl 0754.60126

[14] C. Maes, Coupling interacting particle systems, Rev. Math. Phys. 5 (1993) 457- 475. | MR 1240731 | Zbl 0793.60112

[15] C. Maes and K. Vande Velde, The interaction potential of the stationary measure of a high-noise spinflip process, J. Math. Phys. 34 (1993) 3030-3038. | MR 1224195 | Zbl 0776.60126

[16] W.G. Sullivan, Potentials for almost Markovian random fields, Commun. Math. Phys. 33 (1973) 61-74. | MR 410987 | Zbl 0267.60108

[17] B. Zegarlinski, Strong decay to equilibrium in a one dimensional random spin system, J. Stat. Phys. 77 (1994) 717-732. | MR 1301461 | Zbl 0839.60102