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On large clusters for the Gaussian free field

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If you have a question about this talk, please contact Perla Sousi .

The talk will focus on the percolation problem associated to excursion sets of the Gaussian free field. The cable-system version of this percolation model enjoys a certain integrability, which permits unprecedented conclusions at and near the critical point, especially in low transient dimensions. We will give a gentle introduction to this circle of ideas, with the aim to discuss the tail behaviour of the cluster size of a point, as well as the largest cluster size. Based on work with A. Drewitz and A. Prévost.

This talk is part of the Probability series.

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PMP Project seminars Pfizer Lecture Theatre, Department of Chemistry, University of Cambridge, Lensfield Road Cambridge CB2 1EW Lecture Room 5, No. 8 Mill Lane, Cambridge

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