کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6425526 1633802 2016 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Quenched Voronoi percolation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Quenched Voronoi percolation
چکیده انگلیسی

We prove that the probability of crossing a large square in quenched Voronoi percolation converges to 1/2 at criticality, confirming a conjecture of Benjamini, Kalai and Schramm from 1999. The main new tools are a quenched version of the box-crossing property for Voronoi percolation at criticality, and an Efron-Stein type bound on the variance of the probability of the crossing event in terms of the sum of the squares of the influences. As a corollary of the proof, we moreover obtain that the quenched crossing event at criticality is almost surely noise sensitive.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 286, 2 January 2016, Pages 889-911
نویسندگان
, , , ,