English
Random triangulations and bijective paths to Liouville quantum gravity
Virtualconference
Auteurs : Holden, Nina (Auteur de la conférence)
CIRM (Editeur )
05A19 - Combinatorial identities, bijective combinatorics
60C05 - Combinatorial probability
60D05 - Geometric probability and stochastic geometry
60F17 - Functional limit theorems; invariance principles
60G60 - Random fields
60J67 - Stochastic (Schramm-)Loewner evolution (SLE)
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2324/Slides/slides_holden.pdf
CIRM (Editeur )
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Résumé :
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.
Mots-Clés : Liouville quantum gravity; chramm-Loewner evolutions; mating of trees; percolation; random planar maps; triangulations; random walks; Kreweras walks; planar Brownian motion; bijection
Codes MSC : Mots-Clés : Liouville quantum gravity; chramm-Loewner evolutions; mating of trees; percolation; random planar maps; triangulations; random walks; Kreweras walks; planar Brownian motion; bijection
05A19 - Combinatorial identities, bijective combinatorics
60C05 - Combinatorial probability
60D05 - Geometric probability and stochastic geometry
60F17 - Functional limit theorems; invariance principles
60G60 - Random fields
60J67 - Stochastic (Schramm-)Loewner evolution (SLE)
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2324/Slides/slides_holden.pdf
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Informations sur la Vidéo
Réalisateur : Recanzone, LucaLangue : Anglais Date de Publication : 02/08/2021 Date de Captation : 22/06/2021 Sous Collection : Research talks Catégorie arXiv : Probability ; Mathematical Physics ; Combinatorics Domaine(s) : Combinatoires ; Physique Mathématique ; Probabilités & Statistiques Format : MP4 (.mp4) - HD Durée : 00:59:23 Audience : Chercheurs Download : https://videos.cirm-math.fr/2021-06-22_Holden.mp4 
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Informations sur la Rencontre
Nom de la Rencontre : Lattice Paths, Combinatorics and Interactions / Marches aléatoires, combinatoire et interactionsOrganisateurs de la Rencontre : Banderier, Cyril ; Dousse, Jehanne ; Duchi, Enrica ; Krattenthaler, Christian ; Wallner, Michael Dates : 21/06/2021 - 25/06/2021 Année de la rencontre : 2021 URL de la Rencontre : https://conferences.cirm-math.fr/2324.html
Données de citation
DOI : 10.24350/CIRM.V.19769903Citer cette vidéo: Holden, Nina (2021). Random triangulations and bijective paths to Liouville quantum gravity. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19769903 URI : http://dx.doi.org/10.24350/CIRM.V.19769903 |
Voir Aussi
- [Virtualconference] Using symbolic dynamical programming in lattice paths combinatorics / Auteur de la conférence Zeilberger, Doron.
- [Virtualconference] The alternating sign matrices and descending plane partitions : n+3 pairs of equivalent statistics / Auteur de la conférence Fischer, Ilse.
- [Multi angle] Lattice paths and heaps / Auteur de la conférence Viennot, Xavier.
- [Multi angle] Mating of discrete trees and walks in the quarter plane / Auteur de la conférence Biane, Philippe.
- [Virtualconference] Bijections between walks inside a triangular domain and Motzkin paths of bounded amplitude / Auteur de la conférence Marcovici, Irène.
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
