Random triangulations and bijective paths to Liouville quantum gravity | Vidéo | Carmin.tv

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Random triangulations and bijective paths to Liouville quantum gravity

Apparaît dans les collections : Lattice Paths, Combinatorics and Interactions / Marches aléatoires, combinatoire et interactions, Distinguished women in mathematics, 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.

Informations sur la vidéo

Date de captation 22/06/2021
Date de publication 02/08/2021
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Luca Recanzone
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19769903
Citer cette vidéo Holden, Nina (22/06/2021). Random triangulations and bijective paths to Liouville quantum gravity. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19769903
URL https://dx.doi.org/10.24350/CIRM.V.19769903

Domaine(s)

Bibliographie

BERNARDI, Olivier, HOLDEN, Nina, et SUN, Xin. Percolation on triangulations: a bijective path to Liouville quantum gravity. ArXiv e-prints, 2018. (To appear in Memoirs of the American Mathematical Society) - https://arxiv.org/abs/1807.01684
ALBENQUE, Marie, HOLDEN, Nina, SUN, Xin, et al. Scaling limit of triangulations of polygons. Electronic Journal of Probability, 2020, vol. 25. - http://dx.doi.org/10.1214/20-EJP537

Codes MSC

Document(s)

https://www.cirm-math.fr/RepOrga/2324/Slides/slides_holden.pdf

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