Equivalence of exponential decay rates for bootstrap percolation like cellular automata

Enrique D. Andjel; Thomas S. Mountford; Roberto H. Schonmann

Annales de l'I.H.P. Probabilités et statistiques (1995)

  • Volume: 31, Issue: 1, page 13-25
  • ISSN: 0246-0203

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Andjel, Enrique D., Mountford, Thomas S., and Schonmann, Roberto H.. "Equivalence of exponential decay rates for bootstrap percolation like cellular automata." Annales de l'I.H.P. Probabilités et statistiques 31.1 (1995): 13-25. <http://eudml.org/doc/77498>.

@article{Andjel1995,
author = {Andjel, Enrique D., Mountford, Thomas S., Schonmann, Roberto H.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {bootstrap percolation; critical behavior; exponential rates; cellular automata; nearest neighbors; exponential decay rates},
language = {eng},
number = {1},
pages = {13-25},
publisher = {Gauthier-Villars},
title = {Equivalence of exponential decay rates for bootstrap percolation like cellular automata},
url = {http://eudml.org/doc/77498},
volume = {31},
year = {1995},
}

TY - JOUR
AU - Andjel, Enrique D.
AU - Mountford, Thomas S.
AU - Schonmann, Roberto H.
TI - Equivalence of exponential decay rates for bootstrap percolation like cellular automata
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1995
PB - Gauthier-Villars
VL - 31
IS - 1
SP - 13
EP - 25
LA - eng
KW - bootstrap percolation; critical behavior; exponential rates; cellular automata; nearest neighbors; exponential decay rates
UR - http://eudml.org/doc/77498
ER -

References

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  1. [Adl] J. Adler, Bootstrap percolation, Physica A, Vol. 171, 1991, pp. 453-470. 
  2. [AA] J. Adler and A. Aharony, Diffusion Percolation: I. Infinite time limit and bootstrap percolation, J. Phys. A: Math. Gen., Vol. 21, 1988, pp.1387-1404. MR939745
  3. [AL] M. Aizenman and J.L. Lebowitz, Metastability effects in bootstrap percolation, J. Phys. A: Math. Gen., Vol. 21, 1988, pp. 3801-3813. Zbl0656.60106MR968311
  4. [And] E.D. Andjel, Characteristic exponents for two-dimensional bootstrap percolation, The Annals of Probability, Vol. 21, 1993, pp. 926-935. Zbl0787.60120MR1217573
  5. [Mou] T.S. Mountford, Rates for the probability of larges cubes being non-internally spanned in modified bootstrap percolation, ProbabilityTheory and Related Fields, Vol. 93, 1992, pp. 159-167. Zbl0767.60102MR1176723
  6. [Sch1] R.H. Schonmann, On the behavior of some cellular automata related to bootstrap percolation, The Annals of Probability, Vol. 20, 1992, pp. 174-193. Zbl0742.60109MR1143417
  7. [Sch2] R.H. Schonmann, Critical points of two-dimensional bootstrap percolation like cellular automata, J. Stat. Phys., Vol. 58, 1990, pp. 1239-1244. Zbl0712.68071MR1049067
  8. [Sch3] R.H. Schonmann, Finite size scalling behavior of a biased majority rule cellular automaton, Physica A, Vol. 167, 1990, pp. 619-627. MR1075567

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