@article{AIHPA_1991__55_2_591_0, author = {Schonmann, Roberto H.}, title = {An approach to characterize metastability and critical droplets in stochastic Ising models}, journal = {Annales de l'I.H.P. Physique th\'eorique}, volume = {54}, year = {1991}, pages = {591-600}, mrnumber = {1139535}, zbl = {0741.60103}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPA_1991__55_2_591_0} }
Schonmann, Roberto H. An approach to characterize metastability and critical droplets in stochastic Ising models. Annales de l'I.H.P. Physique théorique, Tome 54 (1991) pp. 591-600. http://gdmltest.u-ga.fr/item/AIHPA_1991__55_2_591_0/
[Bra] Tunelling for a Non-Linear Heat Equation with Noise, preprint, 1989.
,[CGOV] Metastable Behavior of Stochastic Dynamics: A Pathwise Approach, J. Stat. Phys., Vol. 35, 1984, pp. 603-634. | MR 749840 | Zbl 0591.60080
, , , and ,[COP] Small Random Perturbation of Infinite Dimensional Dynamical Systems and Nucleation Theory, Ann. Inst. Henri Poincaré Phys. Théor., Vol. 44, 1986, pp. 343-396. | Numdam | MR 850897 | Zbl 0598.35133
, and ,[EGJL] Dominance Switch Between Two Interacting Species and Metastability, preprint, 1988.
, , and ,[FW] Random Perturbation of Dynamical Systems, Springer, 1984. | MR 722136
, ,[GOV] Metastability for a Class of Dynamical Systems Subject to Small Random Perturbations, Ann. Probab., Vol. 15, 1987, pp. 1288-1305. | MR 905332 | Zbl 0709.60058
, and :[KGV] Optimization by Simulated Annealing, Science, Vol. 220, 1983, pp. 671-680. | MR 702485
, Jr. and ,[KN] The Metastable Behavior of Infrequently Observed, Weakly Random, One-Dimensional Diffusion Processes, S.I.A.M. J. Appl. Math., Vol. 45, 1985, pp. 972-982. | MR 813459 | Zbl 0592.60063
and ,[MOS1] Small Random Perturbation of Finite and Infinite Dimensional Systems: Unpredictability of Exit Times, J. Stat. Phys., Vol. 55, 1989, pp. 477-504. | MR 1003525 | Zbl 0714.60109
, and ,[MOS2] Rigorous Analysis of Low Temperature Stochastic Ising models: Metastability and Exponential Approach to Equilibrium, Europhys. Lett., Vol. 12, 1990, pp. 223-228.
, and ,[MOS3] Metastability and Exponential Approach to Equilibrium for Low Temperature Stochastic Ising Models, J. Stat. Phys., Vol. 61, 1990, pp. 1105-1119. | MR 1083898 | Zbl 0739.60096
, and ,[MOS4] On the Swendsen and Wang Dynamics I. Exponential Convergence to Equilibrium, J. Stat. Phys., Vol. 62, 1991, pp. 117-133. | MR 1105259 | Zbl 0739.60097
, and ,[MOS5] On the Swendsen and Wang Dynamics II. Critical Droplets and Homogeneous Nucleation at Low Temperature for the 2-dimensional Ising Model, J. Stat. Phys., Vol. 62, 1991, pp. 135-159. | MR 1105260 | Zbl 0739.60098
, and ,[N] Resultados sobre metaestabilidade num modelo de Ising estocástico, Ph. D. thesis, Instituto de Matemática e Estatistica da Universidade de São Paulo, São Paulo, Brasil, 1990.
,[NCK] Neo-darwinian Evolution Implies Punctuated Equilibria, Nature, Vol. 315, 1985, pp. 400-401.
, and ,[NS1] Critical Droplets and Metastability for a Glauber Dynamics at Very Low Temperature, Commun. Math. Phys., Vol. 137, 1991, pp. 209-230. | MR 1101685 | Zbl 0722.60107
and ,[NS2] Behavior of Droplets for a Class o Glauber Dynamics at Very Low Temperature, preprint, 1990.
and ,[PL] Towards a Rigorous Molecular Theory of Metastability, Fluctuation Phenomena (second edition), E. W. MONTROLL and J. L. LEBOWITZ Eds., North-Holland Physics Publishing, 1987.
and ,[Sch] Metastability for the Contact Process, J. Stat. Phys., Vol. 41, 1985, pp. 445-464. | MR 814841 | Zbl 0646.60108
,