52 citations · 402 across the 46 of their papers we have counts for
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math.PR2023★ 1 cited
Distances and isoperimetric inequalities in random triangulations of high genus
Thomas Budzinski, Guillaume Chapuy, Baptiste Louf
We prove that uniform random triangulations whose genus is proportional to their size have diameter of order with high probability. We also show that in such triangula…
math.CO2023
A telescopic proof of Cayley's formula
Guillaume Chapuy, Guillem Perarnau
We give a short proof of the fact that the number of labelled trees on vertices is . Although many short proofs are known, we have not seen this one before.
math.CO2023
On the edge-density of the Brownian co-graphon and common ancestors of pairs in the CRT
Guillaume Chapuy
Bassino et al. (arXiv:1907.08517) have shown that uniform random co-graphs (graphs without induced ) of size converge to a certain non-deterministic graphon. The edge-dens…