Baptiste Louf

Contact

baptiste.louf(at)math.uu.se

Box 480, 751 06 UPPSALA

I am a postdoc in the Probability and Combinatorics group of Uppsala University

I did my PhD at IRIF in the Combinatorics team where my advisor was Guillaume Chapuy. Here is my PhD manuscript, and the slides of the defense.

Research interests

I am interested in combinatorial and probabilistic aspects of discrete geometry. I mainly study combinatorial maps (that are graphs embedded on surfaces), but I also work with other families such as graphs, Hurwitz numbers and constellations. Part of my research also involves algebraic methods, in particular the KP/Toda hierarchies (integrable sets of differential equations) and characters of the symmetric group.

Articles and preprints

Random partitions under the Plancherel-Hurwitz measure, high genus Hurwitz numbers and maps, with Guillaume Chapuy and Harriet Walsh. AofA 2022 (short version). arXiv
Unicellular maps vs hyperbolic surfaces in large genus: simple closed curves, with Svante Janson. arXiv
Random generation and scaling limits of fixed genus factorizations into transpositions, with Valentin Féray and Paul Thévenin. arXiv
Short cycles in high genus unicellular maps, with Svante Janson, to appear in Annales de l'Institut Henri Poincaré. arXiv
Large expanders in high genus unicellular maps. arXiv
Finding large expanders in graphs: from topological minors to induced subgraphs, with Fiona Skerman. arXiv
Planarity and non-separating cycles in uniform high genus quadrangulations, in Probability Theory and Related Fields. arXiv
Local limits of bipartite maps with prescribed face degrees in high genus, with Thomas Budzinski, in Annals of Probability. arXiv
Local limits of uniform triangulations in high genus, with Thomas Budzinski, in Inventiones Mathematicae. arXiv
Simple formulas for constellations and bipartite maps with prescribed degrees, FPSAC 2019 (short version), full version in Canadian Journal of Mathematics. arXiv
A new family of bijections for planar maps, FPSAC 2018 (short version), full version in Journal of Combinatorial Theory, Series A. arXiv