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Harris's inequality and its descendants

Presented by: 
D Welsh [Oxford]
Monday 23rd June 2008 - 10:00 to 11:00

In 1960 T.E.Harris proved a fundamental early result about percolation probabilities. As part of his proof he needed an inequality which he described in the following words: "Its truth seems obvious but ...."

In this talk I shall survey some of the classical correlation inequalities which generalise Harris's inequality and were proved in the period 1960 - 1980.

I will also discuss some applications and more recent open problems in the area of combinatorial probability.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons