Growing maps face by face | Vidéo | Carmin.tv

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Growing maps face by face

De Alessandra Caraceni

Apparaît dans la collection : Random Geometry / Géométrie aléatoire

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.

Informations sur la vidéo

Date de captation 20/01/2022
Date de publication 04/02/2022
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19878103
Citer cette vidéo Caraceni, Alessandra (20/01/2022). Growing maps face by face. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19878103
URL https://dx.doi.org/10.24350/CIRM.V.19878103

Domaine(s)

Bibliographie

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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