Negative correlation of adjacent Busemann increments

نویسندگان

چکیده

Nous considérons la percolation de dernier passage i.i.d. sur Z2 avec des poids loi F et constante temporelle gF. donnons une condition explicite fonction taux grande déviation somme variables aléatoires indépendantes F, qui détermine quand certains accroissements Busemann adjacents sont négativement corrélés. À titre d’exemple nous montrons que les Bernoulli(p) p>p∗≈0.6504 vérifient cette condition. obtenons en établissant un lien direct entre corrélations négatives domination gF par décrit temps exponentiels ou géométriques.

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ژورنال

عنوان ژورنال: Annales de l'I.H.P

سال: 2022

ISSN: ['0246-0203', '1778-7017']

DOI: https://doi.org/10.1214/21-aihp1236