50:36
published on February 6, 2026
On some deterministic version of the random walk on $\mathbb{Z}^d$
By Dalia Terhesiu
Capacity for BRW's and percolation
By Perla Sousi
Appears in collection : Random walks: applications and interactions / Marches aléatoires: applications et interactions
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.
