Capacity for branching random walks and percolation

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.

• Speaker: Perla Sousi (Cambridge)
• Tuesday 21 October 2025, 14:00–15:00
• Venue: MR12.
• Series: Probability; organiser: Perla Sousi.