Large-density fluctuations for the one-dimensional supercritical contact process |
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| Authors: | Antonio Galves Fabio Martinelli Enzo Olivieri |
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| Affiliation: | (1) Instituto de Matematica e Estatistica, Universidade de Sao Paulo, Sao Paulo, Brazil;(2) Dipartimento di Matematica, Universita' !["ldquo"]("/content/v632w46p8g288x5g/xlarge8220.gif") La Sapienza!["rdquo"]("/content/v632w46p8g288x5g/xlarge8221.gif") , Rome, Italy;(3) Dipartimento di Matematica Pura ed Applicata, Universita' dell'Aquila, L'Aquila, Italy |
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| Abstract: | We consider the one-dimensional supercritical contact process. LetTv be the first time the process reaches a densityq larger than the equilibrium one in the region [1 N]. We prove that, starting from equilibrium,TN/E(TN) converges to an exponential random time of mean one. In this way we extend previous results of Lebowitz and Schonmann. |
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| Keywords: | Infinite-particle systems random dynamics large deviations |
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