Cyril Marzouk

activity

20132026

most citedScaling limits of random bipartite planar maps with a prescribed degree sequence

29 citations · 136 across the 18 of their papers we have counts for

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Showing 2021 · math.PRShow all

2 papers · 2 filters

math.PR2021★ 2 cited

The mesoscopic geometry of sparse random maps

Nicolas Curien, Igor Kortchemski, Cyril Marzouk

We investigate the structure of large uniform random maps with $n$ edges, $f_{n}$ faces, and with genus $g_{n}$ in the so-called sparse case, where the ratio between…

math.PR2021★ 4 cited

Large deviation Local Limit Theorems and limits of biconditioned Trees and Maps

Igor Kortchemski, Cyril Marzouk

We first establish new local limit estimates for the probability that a nondecreasing integer-valued random walk lies at time $n$ at an arbitrary value, encompassing in particular…