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An operator-theoretic approach to nonamenable percolation

Presented by: 
Tom Hutchcroft University of Cambridge
Date: 
Thursday 12th July 2018 - 09:10 to 09:55
Venue: 
INI Seminar Room 1
Abstract: 
I will discuss progress on and implications of the following new conjecture: For any nonamenable transitive graph G=(V,E), the matrix of connection probabilities in critical Bernoulli percolation is bounded as an operator from L^2(V) to L^2(V).
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons