Collapse and diffusion in harmonic activation and transport

Abstract

For an n-element subset U of $\mathbb {Z}^2$ , select x from U according to harmonic measure from infinity, remove x from U and start a random walk from x. If the walk leaves from y when it first enters the rest of U, add y to it. Iterating this procedure constitutes the process we call harmonic activation and transport (HAT).

Keywords

• 60J10
• 60G50
• 31C20
• 82C41