Universal behavior of random walk on random planar maps

Researchers: Jason Miller, Perla Sousi, Zsuzsanna Baran

Recent works have shown that a random walk on the uniform infinite planar triangulation typically takes time n^{1/4} to exit a ball of radius n, and that the effective resistance of the root vertex to the boundary of a ball of radius n grows at most like polylog in n. In this project, we are working on extending this to other random planar map models, such as the uniform infinite planar quadrangulation.

Who's involved

Software

This is an exciting joint position with @CambridgeCMIH ⏰ Application deadline is 19th April https://t.co/WapXM5SyMH View on Twitter