On the exact orders of critical value in Finitary Random Interlacements
نویسندگان
چکیده
In this paper, we prove the exact orders of critical intensity u∗(T) in Finitary Random Interlacements (FRI) Zd,d≥3 with respect to expected fiber length T. We show that as T→∞, is same order fd(T), where fd(T)=T−1/2,d=3T−1logT,d=4T−1,d≥5. Our estimates also give magnitude at which percolative phase transition T takes place.
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2023
ISSN: ['1879-209X', '0304-4149']
DOI: https://doi.org/10.1016/j.spa.2023.02.008