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University of Regina Department of Mathematics and Statistics

University of Regina
Department of Mathematics and Statistics
Speaker: Michael Kozdron (University of Regina)
Title: An Introduction to Percolation
Date: Friday, September 28, 2007
Time: 3:30
Place: Math & Stats Lounge (CW 307.20)
Percolation was introduced by S. Broadbent and J. Hammersley in 1957
as a model of fluid flow through a disordered, porous medium. While per-
colation has existed for over half a century as a well-defined mathematical
model, and although there is a significant amount of heuristic and experi-
mental evidence for many remarkable phenomenon, percolation has turned
out to be much more difficult than expected to analyze rigorously, and it
wasn't until 1980 that H. Kesten proved the first spectacular result in per-
colation theory. Kesten, combined with work of T. Harris from the 1960's,
proved the "obvious result" that the critical probability for bond percola-
tion on Z2 is 1/2. Recently there has been an increased interest in two-
dimensional percolation mainly due to the fact that critical percolation on


Source: Argerami, Martin - Department of Mathematics and Statistics, University of Regina


Collections: Mathematics