Local geometry of the rough-smooth interface in the two-periodic Aztec diamond

DOI10.1214/21-AAP1701zbMath1492.60027arXiv2004.14068OpenAlexW3023322112MaRDI QIDQ2134288

Vincent Beffara, Sunil Chhita, Kurt Johansson

Publication date: 6 May 2022

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.14068

zbMATH Keywords

domino tilingsAiry kernel point processtwo-periodic aztec diamond

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

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Local correlation functions of the two-periodic weighted Aztec diamond in mesoscopic limit, A numerical study of two-point correlation functions of the two-periodic weighted Aztec diamond in mesoscopic limit, Biased \(2 \times 2\) periodic Aztec diamond and an elliptic curve, On the domino shuffle and matrix refactorizations, GOE fluctuations for the maximum of the top path in alternating sign matrices

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