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Distances and isoperimetric inequalities in random maps of large genus
Multi angle
Authors : Chapuy, Guillaume (Author of the conference)
CIRM (Publisher )
CIRM (Publisher )
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Abstract :
I will announce the proof, with Thomas Budzinski and Baptiste Louf, of the following fact: a uniformly random triangulation of size n whose genus grows linearly with $n$, has diameter $O(log(n))$ with high probability. The proof is based on isoperimetric inequalities built from enumerative estimates strongly built on the (celebrated) previous work of my two coauthors.
But before this, I will try to review a little bit the questions surrounding random maps on surfaces, in either fixed genus or high genus.
Keywords : maps on surfaces; triangulations; diameter; Cheeger constant; high genus
MSC Codes : But before this, I will try to review a little bit the questions surrounding random maps on surfaces, in either fixed genus or high genus.
Keywords : maps on surfaces; triangulations; diameter; Cheeger constant; high genus
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Information on the Video
Film maker : Recanzone, LucaLanguage : English Available date : 23/10/2023 Conference Date : 05/10/2023 Subseries : Research talks arXiv category : Combinatorics ; Probability Mathematical Area(s) : Combinatorics ; Probability & Statistics Format : MP4 (.mp4) - HD Video Time : 00:53:26 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-10-05_chapuy.mp4 
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Information on the Event
Event Title : Probability and Geometry in, on and of non-Euclidian spaces / Probabilités et géométrie dans, sur et des espaces non-euclidiensEvent Organizers : Curien, Nicolas ; Garcia-Failde, Elba ; Petri, Bram ; Singh, Arvind Dates : 02/10/2023 - 06/10/2023 Event Year : 2023 Event URL : https://conferences.cirm-math.fr/2897.html
Citation Data
DOI : 10.24350/CIRM.V.20098303Cite this video as: Chapuy, Guillaume (2023). Distances and isoperimetric inequalities in random maps of large genus. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20098303 URI : http://dx.doi.org/10.24350/CIRM.V.20098303 |
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Bibliography
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