کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5130109 1378659 2017 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Supercritical loop percolation on Zd for d≥3
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Supercritical loop percolation on Zd for d≥3
چکیده انگلیسی

We consider supercritical percolation on Zd (d≥3) induced by random walk loop soup. Two vertices are in the same cluster if they are connected through a sequence of intersecting loops. We obtain quenched parabolic Harnack inequalities, Gaussian heat kernel bounds, the invariance principle and the local central limit theorem for the simple random walks on the unique infinite cluster. We also show that the diameter of finite clusters have exponential tails like in Bernoulli bond percolation. Our results hold for all d≥3 and all supercritical intensities despite polynomial decay of correlations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 127, Issue 10, October 2017, Pages 3159-3186
نویسندگان
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