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

By Kurt Johansson

Appears in 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.

Information about the video

Date of recording 27/02/2017
Date of publication 10/03/2017
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19133503
Cite this video 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

Domain(s)

Bibliography

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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