Arthur Blanc-Renaudie

activity

20202026

most citedLimit of trees with fixed degree sequence

3 citations · 4 across the 12 of their papers we have counts for

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Showing 2024Show all

3 papers · 1 filter

math.PR2024

A phase transition for the biased tree-builder random walk

Arthur Blanc-Renaudie, Camille Cazaux, Guillaume Conchon-Kerjan +2

We consider a recent model of random walk that recursively grows the network on which it evolves, namely the Tree Builder Random Walk (TBRW). We introduce a bias $ρ \in (0, \infty)$ …

math.PR2024

Scaling limit of trees with vertices of fixed degrees and heights

Arthur Blanc-Renaudie, Emmanuel Kammerer

We consider large uniform random trees where we fix for each vertex its degree and height. We prove, under natural conditions of convergence for the profile, that those trees prope…

math.PR2024

The scaling limit of critical hypercube percolation

Arthur Blanc-Renaudie, Nicolas Broutin, Asaf Nachmias

We study the connected components in critical percolation on the Hamming hypercube ${0, 1}^{m}$ . We show that their sizes rescaled by $2^{- 2 m /3}$ converge in distribution, and that,…