Thomas Budzinski

activity

20162024

most citedLocal limits of uniform triangulations in high genus

32 citations · 60 across the 12 of their papers we have counts for

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2 papers · 1 filter

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 $n$ have diameter of order $lo g n$ with high probability. We also show that in such triangula…

math.PR2023

Maximum Agreement Subtrees and Hölder homeomorphisms between Brownian trees

Thomas Budzinski, Delphin Sénizergues

We prove that the size of the largest common subtree between two uniform, independent, leaf-labelled random binary trees of size $n$ is typically less than $n^{1/2 - ε}$ fo…