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math.PR2026

Local Limit of Random Regular Bipartite Planar Maps

Nicolas Tokka

We prove the existence of the local limit of uniform random d-regular bipartite planar maps, for every , as the number of vertices tends to infinity. The proof relies on a…

math.PR2025

Ising model with external magnetic field on random planar maps: Critical exponents

Nicolas Tokka

We study the Ising model with an external magnetic field on random tetravalent planar maps and investigate its critical behavior. Explicit expressions for spontaneous magnetization…