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Growing maps face by face
Multi angle
Authors : Caraceni, Alessandra (Author of the conference)
CIRM (Publisher )
05C30 - Enumeration in graph theory
60C05 - Combinatorial probability
CIRM (Publisher )
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Abstract :
In this talk, based on joint work with Alexandre Stauffer, I will consider the problem of providing 'uniform growth schemes' for various types of planar maps. In particular, we will discuss how to couple a uniform map with n faces with a uniform map with n+1 faces in such a way that the smaller map is always obtained from the larger by collapsing a single face. We show that uniform growth schemes exist for rooted 2p-angulations of the sphere and for rooted simple triangulations.
Keywords : random maps; random trees; bijections; growth
MSC Codes : Keywords : random maps; random trees; bijections; growth
05C30 - Enumeration in graph theory
60C05 - Combinatorial probability
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 04/02/2022 Conference Date : 20/01/2022 Subseries : Research talks arXiv category : Probability ; Combinatorics Mathematical Area(s) : Combinatorics ; Probability & Statistics Format : MP4 (.mp4) - HD Video Time : 00:55:42 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2022-01-20_Caraceni.mp4 
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Information on the Event
Event Title : Random Geometry / Géométrie aléatoireEvent Organizers : Curien, Nicolas ; Goldschmidt, Christina ; Le Gall, Jean-François ; Miermont, Grégory ; Rhodes, Rémi Dates : 17/01/2022 - 21/01/2022 Event Year : 2022 Event URL : https://conferences.cirm-math.fr/2528.html
Citation Data
DOI : 10.24350/CIRM.V.19878103Cite this video as: Caraceni, Alessandra (2022). Growing maps face by face. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19878103 URI : http://dx.doi.org/10.24350/CIRM.V.19878103 |
See Also
- [Multi angle] Some questions on the Brownian Map motivated by its higher-genus analogues / Author of the conference Chapuy, Guillaume.
- [Multi angle] Height coupled trees / Author of the conference Ünel, Meltem.
- [Multi angle] Resolution of Liouville CFT : Segal axioms and bootstrap / Author of the conference Guillarmou, Colin.
- [Multi angle] Conformal bootstrap in Liouville theory / Author of the conference Vargas, Vincent.
- [Multi angle] Maps, Hurwitz numbers and formulas for free probability at all genera / Author of the conference Borot, Gaëtan.
- [Multi angle] Generalised Kontsevich graphs, topological recursion and r-spin intersection numbers / Author of the conference Garcia-Failde, Elba.
- [Multi angle] Multicritical Schur measures / Author of the conference Bouttier, Jérémie.
- [Multi angle] The scaling limit of random planar maps with large faces / Author of the conference Riera, Armand.
- [Multi angle] Random hyperbolic surfaces / Author of the conference Budd, Timothy.
- [Multi angle] Unicellular maps vs hyperbolic surfaces in high genus / Author of the conference Louf, Baptiste.
- [Multi angle] Bijections for maps on non-oriented surfaces / Author of the conference Dołęga, Maciej.
- [Multi angle] Nonbijective scaling limit of maps via restriction / Author of the conference Bettinelli, Jérémie.
- [Multi angle] The skew Brownian permuton: a new universal limit for random constrained permutations and its connections with Liouville quantum gravity / Author of the conference Borga, Jacopo.
- [Multi angle] Geometry of the sign clusters in the Infinite Ising-weighted triangulation / Author of the conference Albenque, Marie.
Bibliography
- CARACENI, Alessandra et STAUFFER, Alexandre. Growing uniform planar maps face by face. arXiv preprint arXiv:2110.14575, 2021. - https://arxiv.org/abs/2110.14575
- CARACENI, Alessandra. A polynomial upper bound for the mixing time of edge rotations on planar maps. Electronic Journal of Probability, 2020, vol. 25, p. 1-30. - http://dx.doi.org/10.1214/20-EJP519
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