TY - BOOK
T1 - Unlacing hypercube percolation : a survey
AU - Hofstad, van der, R.W.
AU - Nachmias, A.
PY - 2013
Y1 - 2013
N2 - The purpose of this note is twofold. First, we survey the study of the percolation phase transition on the Hamming hypercube {0,1}^m obtained in the series of papers [1,2,3,4]. Secondly, we explain how this study can be performed without the use of the so-called "lace-expansion" technique. To that aim, we provide a novel simple proof that the triangle condition holds at the critical probability.
Keywords: Percolation; Phase transition; Hypercube
AB - The purpose of this note is twofold. First, we survey the study of the percolation phase transition on the Hamming hypercube {0,1}^m obtained in the series of papers [1,2,3,4]. Secondly, we explain how this study can be performed without the use of the so-called "lace-expansion" technique. To that aim, we provide a novel simple proof that the triangle condition holds at the critical probability.
Keywords: Percolation; Phase transition; Hypercube
M3 - Report
T3 - Report Eurandom
BT - Unlacing hypercube percolation : a survey
PB - Eurandom
CY - Eindhoven
ER -