First passage percolation for random interlacements

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• Alexis Prévost (University of Geneva)
• Thursday 11 July 2024, 14:30-15:00
• Seminar Room 1, Newton Institute.

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SSDW01 - Self-interacting processes

In this talk, I will study the probability that there exists a path of large radius which intersects a random walk a sublinear number of times. This question can be reformulated in terms of first passage percolation for the vacant set of random interlacements, and I will also present corresponding results for the interlacement set. The long-range correlations of the model play an important role here, especially in dimension three. There are many applications of this result, for instance for the capacity of random walks, local uniqueness of random interlacements, and critical exponents for the Gaussian free field on the cable system.

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

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