The Limit Shape of Large Alternating Sign Matrices

DOI10.1137/080730639zbMath1223.82011arXiv0803.2697OpenAlexW3098121447MaRDI QIDQ3013147

F. Colomo, Andrei G. Pronko

Publication date: 18 July 2011

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2697

zbMATH Keywords

random matrix modelsalternating sign matricesemptiness formation probabilitysix-vertex modeldomain wall boundary conditionscondensation hypothesisasymptotic limit shapesphase separation phenomena

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Exactly solvable models; Bethe ansatz (82B23) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Random matrices (algebraic aspects) (15B52) Matrices of integers (15B36)

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