Conference papers

We obtain scaling and local limit results for large random multirectangular Young tableaux via the asymptotic analysis of a determinantal point process due to Gorin and Rahman (2019). In particular, we find an explicit description of the limiting surface, based on solving a complex-valued polynomial equation. As a consequence, we find a simple criteria to …

[3] A determinantal point process approach to scaling and local limits of random Young tableaux (with Cédric Boutillier, Valentin Féray, and Pierre-Loïc Méliot). FPSAC 2024 (to appear).Read More »

Baxter permutations, plane bipolar orientations, and a specific family of walks in the non-negative quadrant are well-known to be related to each other through several bijections. We introduce a further new family of discrete objects, called coalescent-walk processes, that are fundamental for our results. We relate these new objects with the other previously mentioned families …

[2] Scaling and local limits of Baxter permutations through coalescent-walk processes (with Mickaël Maazoun). LIPIcs, Vol. 159, 7:1–7:18, AofA 2020.Read More »

We study proportions of consecutive occurrences of permutations of a given size. Specifically, the limit of such proportions on large permutations forms a region, called feasible region. We show that this feasible region is a polytope, more precisely the cycle polytope of a specific graph called overlap graph. This allows us to compute the dimension, …

[1] The feasible region for consecutive patterns of permutations is a cycle polytope (with Raul Penaguiao). FPSAC 2020, Séminaire Lotharingien de Combinatoire, 84B.30 (2020), 12 pp.Read More »