The Airy point process in the two-periodic Aztec diamond | Vidéo | Carmin.tv

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The Airy point process in the two-periodic Aztec diamond

De Kurt Johansson

Apparaît dans la collection : Random matrices and determinantal process / Matrices aléatoires. Processus déterminantaux

The two-periodic Aztec diamond is a dimer or random tiling model with three phases, solid, liquid and gas. The dimers form a determinantal point process with a somewhat complicated but explicit correlation kernel. I will discuss in some detail how the Airy point process can be found at the liquid-gas boundary by looking at suitable averages of height function differences. The argument is a rather complicated analysis using the cumulant approach and subtle cancellations. Joint work with Vincent Beffara and Sunil Chhita.

Informations sur la vidéo

Date de captation 27/02/2017
Date de publication 10/03/2017
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19133503
Citer cette vidéo Johansson, Kurt (27/02/2017). The Airy point process in the two-periodic Aztec diamond. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19133503
URL https://dx.doi.org/10.24350/CIRM.V.19133503

Domaine(s)

Bibliographie

Beffara, V., Chhita, S., & Johansson, K. (2016). Airy point process at the liquid-gas boundary. <arXiv:1606.08653> - https://arxiv.org/abs/1606.08653

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