Internal DLA in a random environment
Gérard Ben Arous, Jeremy Quastel, Alejandro F. Ramírez (2003)
Annales de l'I.H.P. Probabilités et statistiques
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Gérard Ben Arous, Jeremy Quastel, Alejandro F. Ramírez (2003)
Annales de l'I.H.P. Probabilités et statistiques
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Paul Deheuvels (2000)
Annales de l'I.H.P. Probabilités et statistiques
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R. Hall, G. Tenenbaum (1984)
Acta Arithmetica
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G. Maillard, T. Mountford (2009)
Annales de l'I.H.P. Probabilités et statistiques
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We study the decay rate of large deviation probabilities of occupation times, up to time , for the voter model : ℤ×[0, ∞)→{0, 1} with simple random walk transition kernel, starting from a Bernoulli product distribution with density ∈(0, 1). In [ (1988) 401–413], Bramson, Cox and Griffeath showed that the decay rate order lies in [log(), log()]. In this paper, we establish the true decay rates depending on the level. We show that the decay rates are log() when the deviation...
Evarist Giné, Armelle Guillou (2001)
Annales de l'I.H.P. Probabilités et statistiques
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Stanisław Knapowski (1965)
Acta Arithmetica
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