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Capacity for branching random walks and percolation

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

The capacity of a set is a classical notion in potential theory and it is a measure of the size of a set as seen by a random walk or Brownian motion. Recently Zhu defined the notion of branching capacity as the analogue of capacity in the context of a branching random walk. In this talk I will describe joint work with Amine Asselah and Bruno Schapira where we introduce a notion of capacity of a set for critical bond percolation in high dimensions and I will explain how it shares similar properties as in the case of branching random walks.

This talk is part of the Probability series.

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