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20172025
most citedRandom cubic planar graphs converge to the Brownian sphere

5 citations · 6 across the 5 of their papers we have counts for

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Showing 2019Show all

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math.PR2019

Recurrence of the Uniform Infinite Half-Plane Map via duality of resistances

Thomas Budzinski, Thomas Lehéricy

We study the simple random walk on the Uniform Infinite Half-Plane Map, which is the local limit of critical Boltzmann planar maps with a large and simple boundary. We prove that t…

math.PR2019

First-passage percolation in random planar maps and Tutte's bijection

Thomas Lehéricy

We consider large random planar maps and study the first-passage percolation distance obtained by assigning independent identically distributed lengths to the edges. We consider th…