Random triangulations and bijective paths to Liouville quantum gravity
De Nina Holden
Apparaît également dans les collections : Lattice Paths, Combinatorics and Interactions / Marches aléatoires, combinatoire et interactions, ECM 2024 Invited Speakers
Planar maps are planar graphs embedded in the sphere viewed modulo continuous deformations. There are two families of bijections between planar maps and lattice paths that are applied to prove scaling limit results of planar maps to so-called Liouville quantum gravity surfaces: metric bijections and mating-of-trees bijections. We will present scaling limit results obtained in this way, including works with Bernardi and Sun and with Albenque and Sun.
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