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most citedLocal limits of uniform triangulations in high genus

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math.CO2022★ 3 cited

Random partitions under the Plancherel-Hurwitz measure, high genus Hurwitz numbers and maps

Guillaume Chapuy, Baptiste Louf, Harriet Walsh

We study the asymptotic behaviour of random integer partitions under a new probability law that we introduce, the Plancherel-Hurwitz measure. This distribution, which has a natural…