Analyticity of the density and exponential decay of correlations in 2-d bootstrap percolation
We consider some deterministic cellular automata on the state space {0, 1}d, starting from the product of Bernoulli measures and evolving in discrete time according to the bootstrap percolation rules, in which a 0 changes to a 1 when it has at least l neighbours which are 1. We prove that in case l = 2d - 1 the limiting measure has an exponential decay of correlations and the density function is analytic in [0, 1].
Year of publication: |
1996
|
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Authors: | Fontes, L. R. ; Isopi, M. ; Sidoravicius, V. |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 62.1996, 1, p. 169-178
|
Publisher: |
Elsevier |
Subject: | Bootstrap percolation Analyticity Exponential decay |
Saved in:
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