Lattice Paths, Combinatorics and Interactions / Marches aléatoires, combinatoire et interactions

Collection Lattice Paths, Combinatorics and Interactions / Marches aléatoires, combinatoire et interactions

Organizer(s) Banderier, Cyril ; Dousse, Jehanne ; Duchi, Enrica ; Krattenthaler, Christian ; Wallner, Michael

Date(s) 21/06/2021 - 25/06/2021

linked URL https://conferences.cirm-math.fr/2324.html

00:00:00 / 00:00:00

1 6

Random triangulations and bijective paths to Liouville quantum gravity

Also appears in collections : 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.

Information about the video

Date of recording 22/06/2021
Date of publication 02/08/2021
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.19769903
Cite this video 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

Domain(s)

Bibliography

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

MSC codes

Document(s)

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

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