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Metastability for the contact process

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Abstract

We prove that the Harris contact process shows metastable behavior for any supercritical value of the parameter, even when some macroscopic observables are observed.

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References

  1. M. Cassandro, A. Galves, E. Olivieri, and M. E. Vares, Metastable behavior of stochastic dynamics: A pathwise approach,J. Stat. Phys. 35:603 (1984).

    Google Scholar 

  2. R. Durrett and D. Griffeath, Supercritical contact processes on ℤ,Ann. Prob. 8:890 (1980).

    Google Scholar 

  3. D. Griffeath,Additive and Cancelative Interacting Particle Systems (Lecture Notes in Mathematics No. 724, Springer, New York).

  4. D. Griffeath, The basic contact processes,Stoch. Proc. Appl. 11:151 (1981).

    Google Scholar 

  5. O. Penrose and J. L. Lebowitz, Towards a rigorous molecular theory of metastability, inFluctuation Phenomena, E. W. Montroll and J. L. Lebowitz, eds. (North-Holland, Amsterdam, 1979).

    Google Scholar 

  6. G. L. Sewell, Stability, equilibrium and metastability in statistical mechanics,Phys. Rep. 57:307 (1980).

    Google Scholar 

  7. P. Grassberger and A. de la Torre, Reggeon field theory (Schlögl first model) on a lattice: Monte Carlo calculations of critical behavior,Ann. Phys. (N.Y.) 122:373 (1979).

    Google Scholar 

  8. T. M. Liggett,Interacting Particle Systems (Springer, New York, 1985).

    Google Scholar 

  9. T. E. Harris, Contact iterations on a lattice,Ann. Prob. 2:969 (1974).

    Google Scholar 

  10. C. Kipnis and C. Newman, The metastable behavior of infrequently observed, weakly random, one-dimensional diffusion processes,SIAM J. Appl. Math. (to appear).

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Schonmann, R.H. Metastability for the contact process. J Stat Phys 41, 445–464 (1985). https://doi.org/10.1007/BF01009017

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  • DOI: https://doi.org/10.1007/BF01009017

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