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An operator-theoretic approach to nonamenable percolation

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RGMW06 - RGM follow up

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 L2(V) to L2(V).

This talk is part of the Isaac Newton Institute Seminar Series series.

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