no. 6
Occurrence of rare events in ergodic interacting spin systems
Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997) no. 6, pp. 727-751. 
@article{AIHPB_1997__33_6_727_0,
     author = {Asselah, Amine and Dai Pra, Paolo},
     title = {Occurrence of rare events in ergodic interacting spin systems},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {727--751},
     publisher = {Gauthier-Villars},
     volume = {33},
     number = {6},
     year = {1997},
     mrnumber = {1484539},
     zbl = {0890.60089},
     language = {en},
     url = {http://www.numdam.org/item/AIHPB_1997__33_6_727_0/}
}
TY  - JOUR
AU  - Asselah, Amine
AU  - Dai Pra, Paolo
TI  - Occurrence of rare events in ergodic interacting spin systems
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 1997
SP  - 727
EP  - 751
VL  - 33
IS  - 6
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPB_1997__33_6_727_0/
LA  - en
ID  - AIHPB_1997__33_6_727_0
ER  - 
%0 Journal Article
%A Asselah, Amine
%A Dai Pra, Paolo
%T Occurrence of rare events in ergodic interacting spin systems
%J Annales de l'I.H.P. Probabilités et statistiques
%D 1997
%P 727-751
%V 33
%N 6
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPB_1997__33_6_727_0/
%G en
%F AIHPB_1997__33_6_727_0
Asselah, Amine; Dai Pra, Paolo. Occurrence of rare events in ergodic interacting spin systems. Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997) no. 6, pp. 727-751. http://www.numdam.org/item/AIHPB_1997__33_6_727_0/

[1] A. Asselah and G. Giacomin, in preparation.

[2] F. Comets, Nucleation for a long range magnetic model, Ann. Inst. H. Poincaré, Vol. 23, 1987, pp. 135-178. | EuDML | Numdam | MR | Zbl

[3] P. Dai Pra, Space-time large deviations for interacting particle systems, Comm. Pure Appl. Math., Vol. XLVI, 1993, pp. 387-422. | MR | Zbl

[4] P. Dai Pra, Large deviations and stationary measures for interacting particle systems, Stoch. Proc. Appl., Vol. 48, 1993, pp. 9-30. | MR | Zbl

[5] P. Diaconis and L. Saloff-Coste, Logarithmic Sobolev inequalities and finite Markov chains, preprint. | Zbl

[6] P.A. Ferrari, A. Galves and C. Landim, Exponential waiting time for a big gap in a one-dimensional zero-range process, Ann. Prob., Vol. 22, n. 1, 1994, pp. 284-288. | MR | Zbl

[7] P.A. Ferrari, A. Galves and T.M. Liggetf, Exponential waiting time for filling a large interval in the symmetric simple exclusion process, Ann. Inst. Poincare, Prob. Stat., Vol. 31, n. 1, 1995, pp. 155-175. | EuDML | Numdam | MR | Zbl

[8] M.I. Freidlin and A.D. Wentzell, Random perturbations of dynamical systems, Springer-Verlag, 1984. | MR | Zbl

[9] T.E. Harris, First passage and recurrence distribution, Trans. Am. Math. Soc., Vol. 73, 1952, pp. 471-486. | MR | Zbl

[10] R. Holley and D. Stroock, Applications of the stochastic Ising model to the Gibbs states, Comm. Math. Phys., Vol. 48, 1976, pp. 249-265. | MR

[11] H. Kunsch, Non reversible stationary measures for infinite IPS, Z. Wahrsch. Verw. Gebiete, Vol. 66, 1984, pp. 407-424. | MR | Zbl

[12] J.L. Lebowitz and R.H. Schonmann, On the asymtotics of occurrence times of rare events for stochastic spin systems, J. Stat. Phys., Vol. 48, n. 3/4, 1987, pp. 727-751. | MR | Zbl

[13] T.M. Liggett, Interacting Particle Systems, Springer, 1985. | MR | Zbl

[ 14] F. Martinelli, E. Olivieri and E. Schonmann, Comm. Math. Phys., Vol. 165, 33, 1994. | MR | Zbl

[15] F. Martinelli, E. Olivieri and E. Scoppola, Metastability and exponential approach to equilibrium for low temperature stochastic Ising models, J. Stat. Phys., Vol. 61, 1990, pp. 1105. | MR | Zbl

[16] E.J. Neves and R.H. Schonmann, Critical droplets and metastability for a Glauber dynamics at very low temperatures, Comm. Math. Phys., Vol. 137, 1991, pp. 209-230. | MR | Zbl

[17] E.J. Neves and R.H. Schonmann, Behavior of droplets for a class of Glauber dynamics at very low temperatures, Prob. Th. Rel. Fields, Vol. 91, 1992, pp. 331. | MR | Zbl

[18] S. Olla, Large deviations for Gibbs random fields, Prob. Th. Rel. Fields, Vol. 77, 1988, pp. 343-357. | MR | Zbl

[19] E. Olivieri and E. Scoppola, Markov chains with exponentially small transition probabilities: first exit problem from a general domain. I. The reversible case, J. Stat. Phys., Vol. 79, 1995, pp. 613-647. | MR | Zbl

[20] E. Olivieri and E. Scoppola, Markov chains with exponentially small transition probabilities: first exit problem from a general domain. II. The general case, to appear in J. Stat. Phys. | MR | Zbl

[21] S.L. Lu and H.-T. Yau, Spectral gap and logarithmic Sobolev inequalities for Kawasaki and Glauber dynamics, C.M.P., Vol. 156, 1993, pp. 399-433. | MR | Zbl