کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1155846 958775 2012 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
kk-independent percolation on trees
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
kk-independent percolation on trees
چکیده انگلیسی

Consider the class of kk-independent bond or site percolations with parameter pp on a tree TT. We derive tight bounds on pp for both almost sure percolation and almost sure nonpercolation. The bounds are continuous functions of kk and the branching number of TT. This extends previous results by Lyons for the independent case (k=0k=0) and by Balister & Bollobás for 11-independent bond percolations. Central to our argumentation are moment method bounds à la Lyons supplemented by explicit percolation models à la Balister & Bollobás. An indispensable tool is the minimality and explicit construction of Shearer’s measure on the kk-fuzz of ZZ.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 122, Issue 3, March 2012, Pages 1129–1153
نویسندگان
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