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.

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