Arctic circles, domino tilings and square Young tableaux

DOI10.1214/10-AOP628zbMath1258.60014arXiv0910.1636MaRDI QIDQ414280

Dan Romik

Publication date: 11 May 2012

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

Full work available at URL: https://arxiv.org/abs/0910.1636

zbMATH Keywords

variational problemlarge deviationsYoung tableauxdomino tilingAztec diamondarctic circle theorem

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Large deviations (60F10) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items (8)

Markovian dynamics of concurrent systems ⋮ Dimers and imaginary geometry ⋮ Second class particles and limit shapes of evacuation and sliding paths for random tableaux. ⋮ Limit Shapes via Bijections ⋮ Hook formulas for skew shapes. III: Multivariate and product formulas ⋮ Periodic Pólya urns, the density method and asymptotics of Young tableaux ⋮ Asymptotic domino statistics in the Aztec diamond ⋮ Tacnode GUE-minor processes and double Aztec diamonds

Cites Work

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