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Intersections of branching random walks in 8 dimensions

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SSDW03 - Geometry, occupation fields, and scaling limits

We will consider the intersections between the ranges of two independent branching random walks on Z8, and discuss two results that are analogous to the results by Lawler from the ‘90s about two independent simple random walks on Z4. We also show a weak law of large numbers for the branching capacity of the range of a branching random walk.

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

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