Random walk in cooling random environment: Recurrence versus transience and mixed fluctuations
نویسندگان
چکیده
Ceci est le troisième d’une série d’articles dans lesquels nous considérons une marche aléatoire unidimensionnelle un milieu refroidissant (MAMAR). Ce processus obtenu en partant (MAMA) et rafraîchissant l’environnement long séquence de temps déterministes, appelée rafraîchissement. Dans présent article, explorons deux questions pour des moments rafraîchissement généraux. Tout d’abord, examinons comment critère récurrence connu MAMA change MAMAR. Deuxièmement, les fluctuations MAMAR lorsque récurrent ou satisfait théorème central limite classique. Nous montrons que la réponse dépend manière subtile du choix Un objectif primordial notre article d’étudier comportement d’un avec riche structure corrélation peut être affecté par rafraîchissements.
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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-aihp1184