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The scaling limit of random planar maps with large faces
Multi angle
Authors : Riera, Armand (Author of the conference)
CIRM (Publisher )
05C80 - Random graphs
60F17 - Functional limit theorems; invariance principles
Additional resources :
https://www.cirm-math.fr/RepOrga/2528/Slides/riera.pdf
CIRM (Publisher )
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Abstract :
In this talk we consider large Boltzmann stable planar maps of index $\alpha\in (1,2)$, We will show that this model converges in the scaling limit towards a random compact metric space that we construct explicitly. We will also present some results concerning the topology and the geodesics of the scaling limit. This talk is based on a joint work with Nicolas Curien and Grégory Miermont.
Keywords : planar maps; scaling limit; Gaussian process
MSC Codes : Keywords : planar maps; scaling limit; Gaussian process
05C80 - Random graphs
60F17 - Functional limit theorems; invariance principles
Additional resources :
https://www.cirm-math.fr/RepOrga/2528/Slides/riera.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 04/02/2022 Conference Date : 18/01/2022 Subseries : Research talks arXiv category : Probability Mathematical Area(s) : Probability & Statistics Format : MP4 (.mp4) - HD Video Time : 00:53:22 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2022-01-18_Riera.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.19876903Cite this video as: Riera, Armand (2022). The scaling limit of random planar maps with large faces. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19876903 URI : http://dx.doi.org/10.24350/CIRM.V.19876903 |
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Bibliography
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