GOE fluctuations for the maximum of the top path in alternating sign matrices

DOI10.1215/00127094-2022-0075arXiv2109.02422OpenAlexW3198153774MaRDI QIDQ6177378

Sunil Chhita, Arvind Ayyer, Kurt Johansson

Publication date: 31 August 2023

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.02422

zbMATH Keywords

alternating sign matricessix-vertex modelPfaffian point processdomain wall boundary conditionstotally symmetric self-complementary plane partitionsGOE Tracy-Widom distribution

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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